Finite Group Databasebeta

← C2×#23777593 #35195455

Subgroups — C2×#23777593 #35195455

Order 20224.

8166 conjugacy classes of subgroups.

The subgroup lattice has 2164 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777593C2132yesmaximal, direct product factor
2C2×#19099310C211yesmaximal, characteristic, complemented
3C2×#19099309C211yesmaximal, characteristic, complemented
4C2×#19099304C211yesmaximal, characteristic, complemented
5C2×#19099303C211yesmaximal, characteristic, complemented
6C2×#19099264C211yesmaximal, characteristic, complemented
7C2×#19099257C211yesmaximal, characteristic, complemented
8C2×#19099237C211yesmaximal, characteristic, complemented
9C2×#19099209C211yesmaximal, characteristic, complemented
10C2×#19099206C211yesmaximal, characteristic, complemented
11C2×#19099205C211yesmaximal, characteristic, complemented
12C2×#19099204C211yesmaximal, characteristic, complemented
13C2×#19099203C211yesmaximal, characteristic, complemented
14C2×#19099203C211yesmaximal, characteristic, complemented
15C2×D4×D316C211yesmaximal, characteristic, complemented
16C2×#19099195C211yesmaximal, characteristic, complemented
17C2×#19099168C211yesmaximal, characteristic, complemented
18C2×#19099164C211yesmaximal, characteristic, complemented
19C2×#19099162C211yesmaximal, characteristic, complemented
20C2×#19099155C211yesmaximal, characteristic, complemented
21C2×#19099154C211yesmaximal, characteristic, complemented
22C2×#19099152C211yesmaximal, characteristic, complemented
23C2×#19099149C211yesmaximal, characteristic, complemented
24C2×#19099147C211yesmaximal, characteristic, complemented
25C2×#19099143C211yesmaximal, characteristic, complemented
26C2×#19099125C211yesmaximal, characteristic, complemented
27C2×#19099124C211yesmaximal, characteristic, complemented
28C2×#19099123C211yesmaximal, characteristic, complemented
29C2×#19099075C211yesmaximal, characteristic, complemented
30C2×#123×D79C211yesmaximal, characteristic, complemented
31C22×#14579134C211yesmaximal, characteristic, complemented
32C2×#551×C79C211yesmaximal, characteristic, complemented
33C22×#11929625C2211yescharacteristic, complemented
34C22×#11929624C2211yescharacteristic, complemented
35C22×#11929624C2211yescharacteristic, complemented
36C23×D316C2211yescharacteristic, complemented
37C23×D316C2211yescharacteristic, complemented
38C23×C22⋊D79C2211yescharacteristic, complemented
39C23×C22⋊D79C2211yescharacteristic, complemented
40C23×C22⋊D79C2211yescharacteristic, complemented
41C22×D4×D79C2211yescharacteristic
42C22×D4×D79C2211yescharacteristic, complemented
43C22×D4×D79C2211yescharacteristic, complemented
44C23×C4×D79C2211yescharacteristic, complemented
45#19099310C22116yescomplemented
46#19099309C22116yescomplemented
47#19099304C22116yescomplemented
48#19099303C22116yescomplemented
49#19099264C22116yescomplemented
50#19099257C22116yescomplemented
51#19099237C22116yescomplemented
52#19099209C22116yescomplemented
53#19099206C22116yescomplemented
54#19099205C22116yescomplemented
55#19099204C22116yescomplemented
56#19099203C22116yescomplemented
57#19099203C22116yescomplemented
58D4×D316C22116yescomplemented
59#19099195C22116yescomplemented
60#19099168C22116yescomplemented
61#19099164C22116yescomplemented
62#19099162C22116yescomplemented
63#19099155C22116yescomplemented
64#19099154C22116yescomplemented
65#19099152C22116yescomplemented
66#19099149C22116yescomplemented
67#19099147C22116yescomplemented
68#19099143C22116yescomplemented
69#19099125C22116yescomplemented
70#19099124C22116yescomplemented
71#19099123C22116yescomplemented
72C2×#14579158C2211yescharacteristic, complemented
73C2×#14579157C2211yescharacteristic, complemented
74C2×#14579156C2211yescharacteristic, complemented
75C2×#14579156C2211yescharacteristic, complemented
76C2×#14579156C2211yescharacteristic, complemented
77C2×#14579155C2211yescharacteristic, complemented
78C2×#14579155C2211yescharacteristic, complemented
79C2×#14579154C2211yescharacteristic, complemented
80C2×#14579153C2211yescharacteristic, complemented
81C2×#14579152C2211yescharacteristic, complemented
82C2×#14579152C2211yescharacteristic, complemented
83C2×#14579151C2211yescharacteristic, complemented
84C2×#14579150C2211yescharacteristic, complemented
85C2×#14579149C2211yescharacteristic, complemented
86C2×#14579147C2211yescharacteristic, complemented
87C2×#14579147C2211yescharacteristic, complemented
88C2×#14579147C2211yescharacteristic, complemented
89#19099075C22116yescomplemented
90C2×#14579146C2211yescharacteristic, complemented
91C2×#14579146C2211yescharacteristic, complemented
92C2×#14579146C2211yescharacteristic, complemented
93C2×#14579146C2211yescharacteristic, complemented
94C2×#14579146C2211yescharacteristic, complemented
95C2×#14579146C2211yescharacteristic, complemented
96C2×#14579146C2211yescharacteristic, complemented
97C2×#14579146C2211yescharacteristic, complemented
98C2×#14579146C2211yescharacteristic, complemented
99C2×#14579145C2211yescharacteristic, complemented
100C2×#14579145C2211yescharacteristic, complemented
101C2×#14579145C2211yescharacteristic, complemented
102C2×#14579145C2211yescharacteristic, complemented
103C2×#14579145C2211yescharacteristic, complemented
104C2×#14579144C2211yescharacteristic, complemented
105C2×#14579144C2211yescharacteristic, complemented
106C2×#14579144C2211yescharacteristic, complemented
107C2×#14579143C2211yescharacteristic, complemented
108C2×#14579143C2211yescharacteristic, complemented
109C2×#14579143C2211yescharacteristic, complemented
110C2×#14579143C2211yescharacteristic, complemented
111C2×#14579143C2211yescharacteristic, complemented
112C2×#14579143C2211yescharacteristic, complemented
113C2×#14579143C2211yescharacteristic, complemented
114C2×#14579142C2211yescharacteristic, complemented
115#123×D79C22116yescomplemented
116C2×#14579141C2211yescharacteristic, complemented
117C2×#14579141C2211yescharacteristic, complemented
118C2×#14579140C2211yescharacteristic, complemented
119C2×#14579139C2211yescharacteristic, complemented
120C2×#14579139C2211yescharacteristic, complemented
121C2×#14579139C2211yescharacteristic, complemented
122C2×#14579138C2211yescharacteristic, complemented
123C2×#14579138C2211yescharacteristic, complemented
124C2×#14579137C2211yescharacteristic, complemented
125C2×#14579137C2211yescharacteristic, complemented
126C2×#14579136C2211yescharacteristic, complemented
127C2×#14579136C2211yescharacteristic, complemented
128C2×#14579136C2211yescharacteristic, complemented
129C2×#14579136C2211yescharacteristic, complemented
130C2×#14579136C2211yescharacteristic, complemented
131C2×#14579136C2211yescharacteristic, complemented
132C2×#14579136C2211yescharacteristic, complemented
133C2×#14579136C2211yescharacteristic, complemented
134C2×#14579135C2211yescharacteristic
135C2×#14579135C2211yescharacteristic, complemented
136C2×#14579135C2211yescharacteristic, complemented
137C2×#14579135C2211yescharacteristic, complemented
138C2×#14579135C2211yescharacteristic, complemented
139C2×#14579135C2211yescharacteristic, complemented
140C2×#14579135C2211yescharacteristic, complemented
141C2×#14579134C2211yescharacteristic
142C2×#14579134C2211yescharacteristic, complemented
143C2×#14579134C2211yescharacteristic, complemented
144C2×#14579134C2211yescharacteristic, complemented
145C2×#14579134C2211yescharacteristic, complemented
146C2×#14579134C2211yescharacteristic, complemented
147C2×#14579134C2211yescharacteristic, complemented
148C2×#14579134C2211yescharacteristic, complemented
149C2×#14579134C2211yescharacteristic, complemented
150C2×#14579134C2211yescharacteristic, complemented
151C2×#14579134C2211yescharacteristic, complemented
152C2×#14579134C2211yescharacteristic, complemented
153C2×#14579134C2211yescharacteristic, complemented
154C2×#14579134C2211yescharacteristic, complemented
155C2×#14579134C2211yescharacteristic, complemented
156C2×#14579134C2211yescharacteristic, complemented
157C2×#14579134C2211yescharacteristic, complemented
158C2×#14579134C22116yescomplemented
159C2×#14579133C2211yescharacteristic
160C2×#14579133C2211yescharacteristic, complemented
161C2×#14579132C2211yescharacteristic, complemented
162C2×#14579132C2211yescharacteristic, complemented
163C2×#14579131C2211yescharacteristic
164C2×#14579131C2211yescharacteristic, complemented
165C2×#14579131C2211yescharacteristic, complemented
166C2×#14579131C2211yescharacteristic, complemented
167C2×#14579131C2211yescharacteristic, complemented
168C2×#14579131C2211yescharacteristic, complemented
169C2×#14579131C2211yescharacteristic, complemented
170C2×#14579131C2211yescharacteristic, complemented
171C2×#14579131C2211yescharacteristic, complemented
172C2×#14579131C2211yescharacteristic, complemented
173C2×#14579131C2211yescharacteristic, complemented
174C2×#14579130C2211yescharacteristic, complemented
175C2×#14579129C2211yescharacteristic, complemented
176C2×#14579129C2211yescharacteristic, complemented
177C2×#14579129C2211yescharacteristic, complemented
178C2×C4×D316C2211yescharacteristic, complemented
179C2×C4×D316C2211yescharacteristic, complemented
180C2×C4×D316C2211yescharacteristic, complemented
181C2×C4×D316C2211yescharacteristic, complemented
182C2×C4×D316C2211yescharacteristic, complemented
183C2×C4×D316C2211yescharacteristic, complemented
184C2×#14579123C2211yescharacteristic, complemented
185C2×#14579123C2211yescharacteristic, complemented
186C2×C4×C22⋊D79C2211yescharacteristic, complemented
187C2×C4×C22⋊D79C2211yescharacteristic, complemented
188C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
189C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
190C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
191C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
192C2×#14579118C2211yescharacteristic, complemented
193C22×Dic79⋊C4C2211yescharacteristic, complemented
194C2×C4⋊C4×D79C2211yescharacteristic, complemented
195C2×C4⋊C4×D79C2211yescharacteristic, complemented
196C22×(C2×D79)⋊C4C2211yescharacteristic, complemented
197C2×C22⋊C4×D79C2211yescharacteristic, complemented
198C2×C22⋊C4×D79C2211yescharacteristic, complemented
199C2×C22⋊C4×D79C2211yescharacteristic, complemented
200C2×C22⋊C4×D79C2211yescharacteristic, complemented
201C2×C22⋊C4×D79C2211yescharacteristic, complemented
202C2×C22⋊C4×D79C2211yescharacteristic, complemented
203#551×C79C22116yescomplemented
204C2×#126×C79C2211yescharacteristic, complemented
205C2×#126×C79C2211yescharacteristic, complemented
206C2×#124×C79C2211yescharacteristic, complemented
207C2×#123×C79C2211yescharacteristic, complemented
208C2×#123×C79C2211yescharacteristic, complemented
209C2×#123×C79C2211yescharacteristic, complemented
210C2×C22⋊Q8×C79C2211yescharacteristic, complemented
211C2×C22⋊Q8×C79C2211yescharacteristic, complemented
212C2×#120×C79C2211yescharacteristic
213C2×C4×D4×C79C2211yescharacteristic, complemented
214C2×C4×D4×C79C2211yescharacteristic, complemented
215C2×#117×C79C2211yescharacteristic, complemented
216C2×#117×C79C2211yescharacteristic, complemented
217C22×C22⋊C4×C79C2211yescharacteristic, complemented
218C22×C22⋊C4×C79C2211yescharacteristic, complemented
219C24×D79C2311yescharacteristic
220C24×D79C2311yescharacteristic
221C24×D79C2311yescharacteristic
222C24×D79C2311yescharacteristic
223C24×D79C2311yescharacteristic
224C2×#11929625—44no—
225C2×#11929625C2318yescomplemented
226C2×#11929624—44no—
227C2×#11929624—44no—
228C2×#11929624C2318yescomplemented
229C2×#11929624C2318yescomplemented
230C22×Dic158C2311yescharacteristic
231C22×Dic158C2311yescharacteristic
232C22×D316—44no—
233C22×D316—44no—
234C22×D316C2311yescharacteristic
235C22×D316C2311yescharacteristic
236C22×D316C2311yescharacteristic
237C22×D316C2311yescharacteristic
238C22×D316C2311yescharacteristic
239C22×D316C2311yescharacteristic
240C22×D316C2311yescharacteristic
241C22×D316C2311yescharacteristic
242C22×D316C2311yescharacteristic
243C22×D316C2311yescharacteristic
244C22×D316C2311yescharacteristic
245C22×D316C2311yescharacteristic
246C22×D316C2311yescharacteristic
247C22×D316C2311yescharacteristic
248C22×D316C2311yescharacteristic
249C22×D316C2311yescharacteristic
250C22×D316C2318yescomplemented
251C22×D316C2318yescomplemented
252C22×C22⋊D79—44no—
253C22×C22⋊D79—44no—
254C22×C22⋊D79—44no—
255C22×C22⋊D79C2311yescharacteristic
256C22×C22⋊D79C2311yescharacteristic
257C22×C22⋊D79C2311yescharacteristic
258C22×C22⋊D79C2311yescharacteristic
259C22×C22⋊D79C2311yescharacteristic
260C22×C22⋊D79C2311yescharacteristic
261C22×C22⋊D79C2311yescharacteristic
262C22×C22⋊D79C2311yescharacteristic
263C22×C22⋊D79C2311yescharacteristic
264C22×C22⋊D79C2311yescharacteristic
265C22×C22⋊D79C2311yescharacteristic
266C22×C22⋊D79C2311yescharacteristic
267C22×C22⋊D79C2311yescharacteristic
268C22×C22⋊D79C2311yescharacteristic
269C22×C22⋊D79C2311yescharacteristic
270C22×C22⋊D79C2311yescharacteristic
271C22×C22⋊D79C2311yescharacteristic
272C22×C22⋊D79C2311yescharacteristic
273C22×C22⋊D79C2318yescomplemented
274C22×C22⋊D79C2318yescomplemented
275C22×C22⋊D79C2318yescomplemented
276C2×D4×D79—44no—
277C2×D4×D79—44no—
278C2×D4×D79—44no—
279C2×D4×D79C2318yes—
280C2×D4×D79C2318yescomplemented
281C2×D4×D79C2318yescomplemented
282C23×Dic79C2311yescharacteristic
283C23×Dic79C2311yescharacteristic
284C23×Dic79C2311yescharacteristic
285C22×C4×D79—44no—
286C22×C4×D79C2311yescharacteristic
287C22×C4×D79C2311yescharacteristic
288C22×C4×D79C2311yescharacteristic
289C22×C4×D79C2311yescharacteristic
290C22×C4×D79C2311yescharacteristic
291C22×C4×D79C2311yescharacteristic
292C22×C4×D79C2311yescharacteristic
293C22×C4×D79C2311yescharacteristic
294C22×C4×D79C2311yescharacteristic
295C22×C4×D79C2311yescharacteristic
296C22×C4×D79C2311yescharacteristic
297C22×C4×D79C2311yescharacteristic
298C22×C4×D79C2311yescharacteristic
299C22×C4×D79C2311yescharacteristic
300C22×C4×D79C2311yescharacteristic
301C22×C4×D79C2318yescomplemented
302#14579158C2318yescomplemented
303#14579157C2318yescomplemented
304#14579156C2318yescomplemented
305#14579156C2318yescomplemented
306#14579156C2318yescomplemented
307#14579155C2318yescomplemented
308#14579155C2318yescomplemented
309#14579154C2318yescomplemented
310#14579153C2318yescomplemented
311#14579152C2318yescomplemented
312#14579152C2318yescomplemented
313#14579151C2318yescomplemented
314#14579150C2318yescomplemented
315#14579149C2318yescomplemented
316#14579147C2318yescomplemented
317#14579147C2318yescomplemented
318#14579147C2318yescomplemented
319#14579146C2318yescomplemented
320#14579146C2318yescomplemented
321#14579146C2318yescomplemented
322#14579146C2318yescomplemented
323#14579146C2318yescomplemented
324#14579146C2318yescomplemented
325#14579146C2318yescomplemented
326#14579146C2318yescomplemented
327#14579146C2318yescomplemented
328#14579145C2318yescomplemented
329#14579145C2318yescomplemented
330#14579145C2318yescomplemented
331#14579145C2318yescomplemented
332#14579145C2318yescomplemented
333#14579144C2318yescomplemented
334#14579144C2318yescomplemented
335#14579144C2318yescomplemented
336#14579143C2318yescomplemented
337#14579143C2318yescomplemented
338#14579143C2318yescomplemented
339#14579143C2318yescomplemented
340#14579143C2318yescomplemented
341#14579143C2318yescomplemented
342#14579143C2318yescomplemented
343#14579142C2318yescomplemented
344#14579141C2318yescomplemented
345#14579141C2318yescomplemented
346#14579140C2318yescomplemented
347#14579139C2318yescomplemented
348#14579139C2318yescomplemented
349#14579139C2318yescomplemented
350#14579138C2318yescomplemented
351#14579138C2318yescomplemented
352#14579137C2318yescomplemented
353#14579137C2318yescomplemented
354#14579136C2318yescomplemented
355#14579136C2318yescomplemented
356#14579136C2318yescomplemented
357#14579136C2318yescomplemented
358#14579136C2318yescomplemented
359#14579136C2318yescomplemented
360#14579136C2318yescomplemented
361#14579136C2318yescomplemented
362#14579135C2318yes—
363#14579135C2318yescomplemented
364#14579135C2318yescomplemented
365#14579135C2318yescomplemented
366#14579135C2318yescomplemented
367#14579135C2318yescomplemented
368#14579135C2318yescomplemented
369#14579134C2318yes—
370#14579134C2318yescomplemented
371#14579134C2318yescomplemented
372#14579134C2318yescomplemented
373#14579134C2318yescomplemented
374#14579134C2318yescomplemented
375#14579134C2318yescomplemented
376#14579134C2318yescomplemented
377#14579134C2318yescomplemented
378#14579134C2318yescomplemented
379#14579134C2318yescomplemented
380#14579134C2318yescomplemented
381#14579134C2318yescomplemented
382#14579134C2318yescomplemented
383#14579134C2318yescomplemented
384#14579134C2318yescomplemented
385#14579134C2318yescomplemented
386#14579133C2318yes—
387#14579133C2318yescomplemented
388#14579132C2318yescomplemented
389#14579132C2318yescomplemented
390#14579131C2318yes—
391#14579131C2318yescomplemented
392#14579131C2318yescomplemented
393#14579131C2318yescomplemented
394#14579131C2318yescomplemented
395#14579131C2318yescomplemented
396#14579131C2318yescomplemented
397#14579131C2318yescomplemented
398#14579131C2318yescomplemented
399#14579131C2318yescomplemented
400#14579131C2318yescomplemented
401#14579130C2318yescomplemented
402#14579129C2318yescomplemented
403#14579129C2318yescomplemented
404#14579129C2318yescomplemented
405C4×D316C2318yescomplemented
406C4×D316C2318yescomplemented
407C4×D316C2318yescomplemented
408C4×D316C2318yescomplemented
409C4×D316C2318yescomplemented
410C4×D316C2318yescomplemented
411#14579123C2318yescomplemented
412#14579123C2318yescomplemented
413C4×C22⋊D79C2318yescomplemented
414C4×C22⋊D79C2318yescomplemented
415(C22⋊D79)⋊C4C2318yescomplemented
416(C22⋊D79)⋊C4C2318yescomplemented
417(C22⋊D79)⋊C4C2318yescomplemented
418(C22⋊D79)⋊C4C2318yescomplemented
419#14579118C2318yescomplemented
420C2×C4⋊Dic79C2311yescharacteristic
421C2×C4⋊Dic79C2311yescharacteristic
422C2×C4⋊Dic79C2311yescharacteristic
423C2×C4⋊Dic79C2311yescharacteristic
424C2×C4⋊Dic79C2311yescharacteristic
425C2×C4⋊Dic79C2311yescharacteristic
426C2×C4⋊Dic79C2311yescharacteristic
427C2×C4⋊Dic79C2311yescharacteristic
428C2×Dic79⋊C4C2311yescharacteristic
429C2×Dic79⋊C4C2311yescharacteristic
430C2×Dic79⋊C4C2311yescharacteristic
431C2×Dic79⋊C4C2311yescharacteristic
432C2×Dic79⋊C4C2311yescharacteristic
433C2×Dic79⋊C4C2311yescharacteristic
434C2×Dic79⋊C4C2311yescharacteristic
435C2×Dic79⋊C4C2311yescharacteristic
436C2×Dic79⋊C4C2311yescharacteristic
437C2×Dic79⋊C4C2311yescharacteristic
438C2×Dic79⋊C4C2311yescharacteristic
439C2×Dic79⋊C4C2311yescharacteristic
440C2×Dic79⋊C4C2311yescharacteristic
441C2×Dic79⋊C4C2311yescharacteristic
442C2×Dic79⋊C4C2318yescomplemented
443C4⋊C4×D79C2318yescomplemented
444C4⋊C4×D79C2318yescomplemented
445C2×C22⋊Dic79C2311yescharacteristic
446C2×C22⋊Dic79C2311yescharacteristic
447C2×C22⋊Dic79C2311yescharacteristic
448C2×C22⋊Dic79C2311yescharacteristic
449C2×C22⋊Dic79C2311yescharacteristic
450C2×C22⋊Dic79C2311yescharacteristic
451C2×(C2×D79)⋊C4C2311yescharacteristic
452C2×(C2×D79)⋊C4C2311yescharacteristic
453C2×(C2×D79)⋊C4C2311yescharacteristic
454C2×(C2×D79)⋊C4C2311yescharacteristic
455C2×(C2×D79)⋊C4C2311yescharacteristic
456C2×(C2×D79)⋊C4C2311yescharacteristic
457C2×(C2×D79)⋊C4C2311yescharacteristic
458C2×(C2×D79)⋊C4C2311yescharacteristic
459C2×(C2×D79)⋊C4C2311yescharacteristic
460C2×(C2×D79)⋊C4C2311yescharacteristic
461C2×(C2×D79)⋊C4C2311yescharacteristic
462C2×(C2×D79)⋊C4C2311yescharacteristic
463C2×(C2×D79)⋊C4C2311yescharacteristic
464C2×(C2×D79)⋊C4C2311yescharacteristic
465C2×(C2×D79)⋊C4C2311yescharacteristic
466C2×(C2×D79)⋊C4C2311yescharacteristic
467C2×(C2×D79)⋊C4C2311yescharacteristic
468C2×(C2×D79)⋊C4C2311yescharacteristic
469C2×(C2×D79)⋊C4C2311yescharacteristic
470C2×(C2×D79)⋊C4C2311yescharacteristic
471C2×(C2×D79)⋊C4C2311yescharacteristic
472C2×(C2×D79)⋊C4C2311yescharacteristic
473C2×(C2×D79)⋊C4C2311yescharacteristic
474C2×(C2×D79)⋊C4C2311yescharacteristic
475C2×(C2×D79)⋊C4C2311yescharacteristic
476C2×(C2×D79)⋊C4C2311yescharacteristic
477C2×(C2×D79)⋊C4C2311yescharacteristic
478C2×(C2×D79)⋊C4C2311yescharacteristic
479C2×(C2×D79)⋊C4C2311yescharacteristic
480C2×(C2×D79)⋊C4C2311yescharacteristic
481C2×(C2×D79)⋊C4C2318yescomplemented
482C22⋊C4×D79C2318yescomplemented
483C22⋊C4×D79C2318yescomplemented
484C22⋊C4×D79C2318yescomplemented
485C22⋊C4×D79C2318yescomplemented
486C22⋊C4×D79C2318yescomplemented
487C22⋊C4×D79C2318yescomplemented
488C2×C4×Dic79C2311yescharacteristic
489C2×C4×Dic79C2311yescharacteristic
490C2×C4×Dic79C2311yescharacteristic
491C25×C79C2311yescharacteristic
492C22×Q8×C79C2311yescharacteristic
493C22×D4×C79C2311yescharacteristic
494C22×D4×C79C2311yescharacteristic
495C22×D4×C79C2311yescharacteristic
496C23×C4×C79C2311yescharacteristic
497C23×C4×C79C2311yescharacteristic
498C23×C4×C79C2311yescharacteristic
499C23×C4×C79C2311yescharacteristic
500C23×C4×C79C2311yescharacteristic
501#126×C79C2318yescomplemented
502#126×C79C2318yescomplemented
503#124×C79C2318yescomplemented
504#123×C79C2318yescomplemented
505#123×C79C2318yescomplemented
506#123×C79C2318yescomplemented
507C22⋊Q8×C79C2318yescomplemented
508C22⋊Q8×C79C2318yescomplemented
509#120×C79C2318yes—
510C4×D4×C79C2318yescomplemented
511C4×D4×C79C2318yescomplemented
512#117×C79C2318yescomplemented
513#117×C79C2318yescomplemented
514C2×C4⋊C4×C79C2311yescharacteristic
515C2×C4⋊C4×C79C2311yescharacteristic
516C2×C4⋊C4×C79C2311yescharacteristic
517C2×C4⋊C4×C79C2311yescharacteristic
518C2×C4⋊C4×C79C2311yescharacteristic
519C2×C4⋊C4×C79C2311yescharacteristic
520C2×C4⋊C4×C79C2311yescharacteristic
521C2×C4⋊C4×C79C2311yescharacteristic
522C2×C22⋊C4×C79C2311yescharacteristic
523C2×C22⋊C4×C79C2311yescharacteristic
524C2×C22⋊C4×C79C2311yescharacteristic
525C2×C22⋊C4×C79C2311yescharacteristic
526C2×C22⋊C4×C79C2311yescharacteristic
527C2×C22⋊C4×C79C2311yescharacteristic
528C2×C22⋊C4×C79C2311yescharacteristic
529C2×C22⋊C4×C79C2311yescharacteristic
530C2×C22⋊C4×C79C2311yescharacteristic
531C2×C22⋊C4×C79C2311yescharacteristic
532C2×C22⋊C4×C79C2311yescharacteristic
533C2×C22⋊C4×C79C2311yescharacteristic
534C2×C22⋊C4×C79C2311yescharacteristic
535C2×C22⋊C4×C79C2311yescharacteristic
536C2×C22⋊C4×C79C2318yescomplemented
537C2×C22⋊C4×C79C2318yescomplemented
538C2×C42×C79C2311yescharacteristic
539C2×C42×C79C2311yescharacteristic
540C2×C42×C79C2311yescharacteristic
541C23×D79—24no—
542C23×D79—24no—
543C23×D79—24no—
544C23×D79—24no—
545C23×D79—42no—
546C23×D79—42no—
547C23×D79—42no—
548C23×D79—42no—
549C23×D79—42no—
550C23×D79—42no—
551C23×D79—42no—
552C23×D79—42no—
553C23×D79—42no—
554C23×D79—42no—
555C23×D79—42no—
556C23×D79C2411yescharacteristic
557C23×D79C2411yescharacteristic
558C23×D79C2411yescharacteristic
559C23×D79C2411yescharacteristic
560C23×D79C2411yescharacteristic
561C23×D79C2411yescharacteristic
562C23×D79C2414yes—
563C23×D79C2411yescharacteristic
564C23×D79C2414yes—
565C23×D79C2414yes—
566C23×D79C2414yes—
567C23×D79C2414yes—
568#11929625—416no—
569#11929624—416no—
570#11929624—416no—
571C2×Dic158—42no—
572C2×Dic158—42no—
573C2×Dic158C2414yes—
574C2×Dic158C2414yes—
575C2×D316—24no—
576C2×D316—24no—
577C2×D316—24no—
578C2×D316—24no—
579C2×D316—42no—
580C2×D316—42no—
581C2×D316—42no—
582C2×D316—42no—
583C2×D316—42no—
584C2×D316—42no—
585C2×D316—42no—
586C2×D316—42no—
587C2×D316—42no—
588C2×D316—42no—
589C2×D316—42no—
590C2×D316—42no—
591C2×D316—416no—
592C2×D316—416no—
593C2×D316C2414yes—
594C2×D316C2414yes—
595C2×D316C2414yes—
596C2×D316C2414yes—
597C2×D316C2414yes—
598C2×D316C2414yes—
599C2×D316C2414yes—
600C2×D316C2414yes—
601C2×D316C2414yes—
602C2×D316C2414yes—
603C2×D316C2414yes—
604C2×D316C2414yes—
605C2×D316C2414yes—
606C2×D316C2414yes—
607C2×D316C2414yes—
608C2×D316C2414yes—
609C2×C22⋊D79—24no—
610C2×C22⋊D79—24no—
611C2×C22⋊D79—24no—
612C2×C22⋊D79—24no—
613C2×C22⋊D79—24no—
614C2×C22⋊D79—416no—
615C2×C22⋊D79—416no—
616C2×C22⋊D79—42no—
617C2×C22⋊D79—42no—
618C2×C22⋊D79—42no—
619C2×C22⋊D79—42no—
620C2×C22⋊D79—42no—
621C2×C22⋊D79—42no—
622C2×C22⋊D79—42no—
623C2×C22⋊D79—42no—
624C2×C22⋊D79—42no—
625C2×C22⋊D79—42no—
626C2×C22⋊D79—42no—
627C2×C22⋊D79—42no—
628C2×C22⋊D79—416no—
629C2×C22⋊D79—42no—
630C2×C22⋊D79C2414yes—
631C2×C22⋊D79C2414yes—
632C2×C22⋊D79C2414yes—
633C2×C22⋊D79C2414yes—
634C2×C22⋊D79C2414yes—
635C2×C22⋊D79C2414yes—
636C2×C22⋊D79C2414yes—
637C2×C22⋊D79C2414yes—
638C2×C22⋊D79C2414yes—
639C2×C22⋊D79C2414yes—
640C2×C22⋊D79C2414yes—
641C2×C22⋊D79C2414yes—
642C2×C22⋊D79C2414yes—
643C2×C22⋊D79C2414yes—
644C2×C22⋊D79C2414yes—
645C2×C22⋊D79C2414yes—
646C2×C22⋊D79C2414yes—
647C2×C22⋊D79C2414yes—
648D4×D79—416no—
649D4×D79—416no—
650D4×D79—416no—
651C22×Dic79—24no—
652C22×Dic79—42no—
653C22×Dic79—42no—
654C22×Dic79C2411yescharacteristic
655C22×Dic79C2411yescharacteristic
656C22×Dic79C2411yescharacteristic
657C22×Dic79C2411yescharacteristic
658C22×Dic79C2411yescharacteristic
659C22×Dic79C2411yescharacteristic
660C22×Dic79C2411yescharacteristic
661C22×Dic79C2411yescharacteristic
662C22×Dic79C2411yescharacteristic
663C22×Dic79C2414yes—
664C22×Dic79C2414yes—
665C22×Dic79C2414yes—
666C2×C4×D79—24no—
667C2×C4×D79—42no—
668C2×C4×D79—42no—
669C2×C4×D79—42no—
670C2×C4×D79—42no—
671C2×C4×D79—42no—
672C2×C4×D79—42no—
673C2×C4×D79—42no—
674C2×C4×D79—42no—
675C2×C4×D79—42no—
676C2×C4×D79—416no—
677C2×C4×D79—42no—
678C2×C4×D79—42no—
679C2×C4×D79—42no—
680C2×C4×D79—42no—
681C2×C4×D79—42no—
682C2×C4×D79C2414yes—
683C2×C4×D79C2414yes—
684C2×C4×D79C2414yes—
685C2×C4×D79C2414yes—
686C2×C4×D79C2414yes—
687C2×C4×D79C2414yes—
688C2×C4×D79C2414yes—
689C2×C4×D79C2414yes—
690C2×C4×D79C2414yes—
691C2×C4×D79C2414yes—
692C2×C4×D79C2414yes—
693C2×C4×D79C2414yes—
694C2×C4×D79C2414yes—
695C2×C4×D79C2414yes—
696C2×C4×D79C2414yes—
697C4⋊Dic79C2414yes—
698C4⋊Dic79C2414yes—
699C4⋊Dic79C2414yes—
700C4⋊Dic79C2414yes—
701C4⋊Dic79C2414yes—
702C4⋊Dic79C2414yes—
703C4⋊Dic79C2414yes—
704C4⋊Dic79C2414yes—
705Dic79⋊C4C2414yes—
706Dic79⋊C4C2414yes—
707Dic79⋊C4C2414yes—
708Dic79⋊C4C2414yes—
709Dic79⋊C4C2414yes—
710Dic79⋊C4C2414yes—
711Dic79⋊C4C2414yes—
712Dic79⋊C4C2414yes—
713Dic79⋊C4C2414yes—
714Dic79⋊C4C2414yes—
715Dic79⋊C4C2414yes—
716Dic79⋊C4C2414yes—
717Dic79⋊C4C2414yes—
718Dic79⋊C4C2414yes—
719C22⋊Dic79C2414yes—
720C22⋊Dic79C2414yes—
721C22⋊Dic79C2414yes—
722C22⋊Dic79C2414yes—
723C22⋊Dic79C2414yes—
724C22⋊Dic79C2414yes—
725(C2×D79)⋊C4C2414yes—
726(C2×D79)⋊C4C2414yes—
727(C2×D79)⋊C4C2414yes—
728(C2×D79)⋊C4C2414yes—
729(C2×D79)⋊C4C2414yes—
730(C2×D79)⋊C4C2414yes—
731(C2×D79)⋊C4C2414yes—
732(C2×D79)⋊C4C2414yes—
733(C2×D79)⋊C4C2414yes—
734(C2×D79)⋊C4C2414yes—
735(C2×D79)⋊C4C2414yes—
736(C2×D79)⋊C4C2414yes—
737(C2×D79)⋊C4C2414yes—
738(C2×D79)⋊C4C2414yes—
739(C2×D79)⋊C4C2414yes—
740(C2×D79)⋊C4C2414yes—
741(C2×D79)⋊C4C2414yes—
742(C2×D79)⋊C4C2414yes—
743(C2×D79)⋊C4C2414yes—
744(C2×D79)⋊C4C2414yes—
745(C2×D79)⋊C4C2414yes—
746(C2×D79)⋊C4C2414yes—
747(C2×D79)⋊C4C2414yes—
748(C2×D79)⋊C4C2414yes—
749(C2×D79)⋊C4C2414yes—
750(C2×D79)⋊C4C2414yes—
751(C2×D79)⋊C4C2414yes—
752(C2×D79)⋊C4C2414yes—
753(C2×D79)⋊C4C2414yes—
754(C2×D79)⋊C4C2414yes—
755C4×Dic79C2414yes—
756C4×Dic79C2414yes—
757C4×Dic79C2414yes—
758C24×C79—24no—
759C24×C79—42no—
760C24×C79—42no—
761C24×C79C2411yescharacteristic
762C24×C79C2411yescharacteristic
763C24×C79C2411yescharacteristic
764C24×C79C2411yescharacteristic
765C24×C79C2414yes—
766C2×Q8×C79—42no—
767C2×Q8×C79C2414yes—
768C2×D4×C79—24no—
769C2×D4×C79—42no—
770C2×D4×C79—42no—
771C2×D4×C79C2414yes—
772C2×D4×C79C2414yes—
773C2×D4×C79C2414yes—
774C22×C4×C79—24no—
775C22×C4×C79—42no—
776C22×C4×C79—42no—
777C22×C4×C79—42no—
778C22×C4×C79—42no—
779C22×C4×C79C2411yescharacteristic
780C22×C4×C79C2411yescharacteristic
781C22×C4×C79C2414yes—
782C22×C4×C79C2411yescharacteristic
783C22×C4×C79C2411yescharacteristic
784C22×C4×C79C2411yescharacteristic
785C22×C4×C79C2411yescharacteristic
786C22×C4×C79C2411yescharacteristic
787C22×C4×C79C2411yescharacteristic
788C22×C4×C79C2411yescharacteristic
789C22×C4×C79C2411yescharacteristic
790C22×C4×C79C2411yescharacteristic
791C22×C4×C79C2414yes—
792C22×C4×C79C2414yes—
793C22×C4×C79C2414yes—
794C22×C4×C79C2414yes—
795C4⋊C4×C79C2414yes—
796C4⋊C4×C79C2414yes—
797C4⋊C4×C79C2414yes—
798C4⋊C4×C79C2414yes—
799C4⋊C4×C79C2414yes—
800C4⋊C4×C79C2414yes—
801C4⋊C4×C79C2414yes—
802C4⋊C4×C79C2414yes—
803C22⋊C4×C79C2414yes—
804C22⋊C4×C79C2414yes—
805C22⋊C4×C79C2414yes—
806C22⋊C4×C79C2414yes—
807C22⋊C4×C79C2414yes—
808C22⋊C4×C79C2414yes—
809C22⋊C4×C79C2414yes—
810C22⋊C4×C79C2414yes—
811C22⋊C4×C79C2414yes—
812C22⋊C4×C79C2414yes—
813C22⋊C4×C79C2414yes—
814C22⋊C4×C79C2414yes—
815C22⋊C4×C79C2414yes—
816C22⋊C4×C79C2414yes—
817C42×C79C2414yes—
818C42×C79C2414yes—
819C42×C79C2414yes—
820C23×C79—22no—
821C23×C79—22no—
822C23×C79—22no—
823C23×C79—22no—
824C23×C79—22no—
825C23×C79—22no—
826C23×C79—22no—
827C23×C79—22no—
828C23×C79—22no—
829C23×C79—22no—
830C23×C79—22no—
831C23×C79—28no—
832C23×C79—44no—
833C23×C79—44no—
834C23×C79—88no—
835C23×C79H(5,𝔽2)14yes—
836C23×C79C2512yes—
837C23×C79C2512yes—
838C23×C79C2512yes—
839C23×C79C2512yes—
840C23×C79C2511yescharacteristic
841C22×D79—22no—
842C22×D79—22no—
843C22×D79—28no—
844C22×D79—22no—
845C22×D79—22no—
846C22×D79—22no—
847C22×D79—22no—
848C22×D79—22no—
849C22×D79—22no—
850C22×D79—22no—
851C22×D79—22no—
852C22×D79—22no—
853C22×D79—22no—
854C22×D79—22no—
855C22×D79—22no—
856C22×D79—22no—
857C22×D79—22no—
858C22×D79—22no—
859C22×D79—22no—
860C22×D79—22no—
861C22×D79—22no—
862C22×D79—28no—
863C22×D79—28no—
864C22×D79—28no—
865C22×D79—44no—
866C22×D79—44no—
867C22×D79—44no—
868C22×D79—44no—
869C22×D79—44no—
870C22×D79—44no—
871C22×D79—44no—
872C22×D79—44no—
873C22×D79—44no—
874C22×D79—44no—
875C22×D79—44no—
876C22×D79—416no—
877C22×D79—88no—
878C22×D79—88no—
879C22×D79—88no—
880C22×D79—88no—
881C22×D79H(5,𝔽2)14yes—
882C22×D79C2512yes—
883C22×D79C2512yes—
884C22×D79C2512yes—
885C22×D79C2512yes—
886C22×D79C2512yes—
887C22×D79C2512yes—
888C22×D79C2512yes—
889Q8×C79—44no—
890D4×C79—28no—
891D4×C79—44no—
892D4×C79—44no—
893C2×C4×C79—22no—
894C2×C4×C79—22no—
895C2×C4×C79—22no—
896C2×C4×C79—22no—
897C2×C4×C79—22no—
898C2×C4×C79—28no—
899C2×C4×C79—22no—
900C2×C4×C79—22no—
901C2×C4×C79—22no—
902C2×C4×C79—22no—
903C2×C4×C79—22no—
904C2×C4×C79—22no—
905C2×C4×C79—44no—
906C2×C4×C79—44no—
907C2×C4×C79—44no—
908C2×C4×C79—44no—
909C2×C4×C79C2512yes—
910C2×C4×C79C2512yes—
911C2×C4×C79C2512yes—
912C2×C4×C79C2512yes—
913C2×C4×C79C2512yes—
914C2×C4×C79C2512yes—
915C2×C4×C79C2512yes—
916C2×C4×C79C2512yes—
917C2×C4×C79C2512yes—
918C2×C4×C79C2512yes—
919C2×C4×C79C2512yes—
920C22⋊D79—28no—
921C22⋊D79—28no—
922C22⋊D79—28no—
923C22⋊D79—28no—
924C22⋊D79—28no—
925C22⋊D79—44no—
926C22⋊D79—44no—
927C22⋊D79—44no—
928C22⋊D79—44no—
929C22⋊D79—44no—
930C22⋊D79—44no—
931C22⋊D79—44no—
932C22⋊D79—44no—
933C22⋊D79—44no—
934C22⋊D79—44no—
935C22⋊D79—44no—
936C22⋊D79—44no—
937C22⋊D79—44no—
938C2×Dic79—22no—
939C2×Dic79—28no—
940C2×Dic79—22no—
941C2×Dic79—22no—
942C2×Dic79—22no—
943C2×Dic79—22no—
944C2×Dic79—22no—
945C2×Dic79—22no—
946C2×Dic79—22no—
947C2×Dic79—22no—
948C2×Dic79—44no—
949C2×Dic79—44no—
950C2×Dic79C2512yes—
951C2×Dic79C2512yes—
952C2×Dic79C2512yes—
953C2×Dic79C2512yes—
954C2×Dic79C2512yes—
955C2×Dic79C2512yes—
956C2×Dic79C2512yes—
957C2×Dic79C2512yes—
958C2×Dic79C2512yes—
959D316—28no—
960D316—28no—
961D316—28no—
962D316—28no—
963D316—44no—
964D316—44no—
965D316—44no—
966D316—44no—
967D316—44no—
968D316—44no—
969D316—44no—
970D316—44no—
971D316—44no—
972D316—44no—
973D316—44no—
974D316—44no—
975C4×D79—28no—
976C4×D79—44no—
977C4×D79—44no—
978C4×D79—44no—
979C4×D79—44no—
980C4×D79—44no—
981C4×D79—44no—
982C4×D79—44no—
983C4×D79—44no—
984C4×D79—44no—
985C4×D79—44no—
986C4×D79—44no—
987C4×D79—44no—
988C4×D79—44no—
989C4×D79—44no—
990Dic158—44no—
991Dic158—44no—
992C22×C79—22no—
993C22×C79—22no—
994C22×C79—28no—
995C22×C79—22no—
996C22×C79—22no—
997C22×C79—22no—
998C22×C79—22no—
999C22×C79—22no—
1000C22×C79—22no—
1001C22×C79—22no—
1002C22×C79—22no—
1003C22×C79—22no—
1004C22×C79—44no—
1005C22×C79—44no—
1006C22×C79—44no—
1007C22×C79—88no—
1008C22×C79C2×H(5,𝔽2)12yes—
1009C22×C79C2×H(5,𝔽2)14yes—
1010C22×C79C2×H(5,𝔽2)12yes—
1011C22×C79#58512yes—
1012C22×C79C2611yescharacteristic
1013C2×D79—22no—
1014C2×D79—22no—
1015C2×D79—28no—
1016C2×D79—22no—
1017C2×D79—22no—
1018C2×D79—22no—
1019C2×D79—22no—
1020C2×D79—22no—
1021C2×D79—22no—
1022C2×D79—22no—
1023C2×D79—22no—
1024C2×D79—22no—
1025C2×D79—22no—
1026C2×D79—22no—
1027C2×D79—22no—
1028C2×D79—22no—
1029C2×D79—22no—
1030C2×D79—22no—
1031C2×D79—22no—
1032C2×D79—22no—
1033C2×D79—22no—
1034C2×D79—416no—
1035C2×D79—44no—
1036C2×D79—44no—
1037C2×D79—44no—
1038C2×D79—44no—
1039C2×D79—44no—
1040C2×D79—44no—
1041C2×D79—88no—
1042C2×D79—88no—
1043C2×D79—88no—
1044C2×D79—88no—
1045C2×D79C2×H(5,𝔽2)14yes—
1046C4×C79—22no—
1047C4×C79—22no—
1048C4×C79—22no—
1049C4×C79—22no—
1050C4×C79—22no—
1051C4×C79—22no—
1052C4×C79—22no—
1053C4×C79—22no—
1054C4×C79—22no—
1055C4×C79—22no—
1056C4×C79—22no—
1057Dic79—22no—
1058Dic79—22no—
1059Dic79—22no—
1060Dic79—22no—
1061Dic79—22no—
1062Dic79—22no—
1063Dic79—22no—
1064Dic79—22no—
1065Dic79—22no—
1066C2×#3534—791nomaximal, Sylow
1067C2×C79—24no—
1068C2×C79—42no—
1069C2×C79—42no—
1070C2×C79—42no—
1071C2×C79#353414yescomplemented
1072C2×C79C22×H(5,𝔽2)11yescharacteristic
1073C2×C79C22×H(5,𝔽2)11yescharacteristic
1074C2×C79C2×#58511yescharacteristic
1075D79—24no—
1076D79—42no—
1077D79—42no—
1078D79—42no—
1079D79—42no—
1080D79—42no—
1081D79—42no—
1082#3534—7932no—
1083C2×#562—791no—
1084C2×#562—791no—
1085C2×#560—791no—
1086C2×#560—791no—
1087C2×#553—791no—
1088C2×#553—791no—
1089C2×#551—791no—
1090C2×#551D7911yescharacteristic, complemented
1091C2×#546—791no—
1092C2×#546—791no—
1093C2×#546—791no—
1094C2×#546—791no—
1095C2×#546—791no—
1096C2×#546—791no—
1097C2×D42—791no—
1098C2×D42—791no—
1099C2×#540—791no—
1100C2×#540—791no—
1101C2×#539—791no—
1102C2×#539—791no—
1103C2×#539—791no—
1104C2×#538—791no—
1105C2×#538—791no—
1106C2×#538—791no—
1107C2×#537—791no—
1108C2×#534—791no—
1109C2×#534—791no—
1110C2×#534—791no—
1111C2×#525—791no—
1112C22×#123—791no—
1113C22×#121—791no—
1114C79C2×#353411yescharacteristic, complemented, Sylow
1115C22×#41—791no—
1116C22×#41—791no—
1117C22×#41—791no—
1118C23×D4—791no—
1119C23×D4—791no—
1120C23×D4—791no—
1121C23×D4—791no—
1122C23×D4—791no—
1123C23×D4—791no—
1124C23×D4—791no—
1125C23×D4—791no—
1126C24×C4—791no—
1127#562—7916no—
1128#562—7916no—
1129#560—7916no—
1130#560—7916no—
1131#553—7916no—
1132#553—7916no—
1133#551—7916no—
1134#551C2×D79116yescomplemented
1135#546—7916no—
1136#546—7916no—
1137#546—7916no—
1138#546—7916no—
1139#546—7916no—
1140#546—7916no—
1141D42—7916no—
1142D42—7916no—
1143#540—7916no—
1144#540—7916no—
1145#539—7916no—
1146#539—7916no—
1147#539—7916no—
1148#538—7916no—
1149#538—7916no—
1150#538—7916no—
1151#537—7916no—
1152#534—7916no—
1153#534—7916no—
1154#534—7916no—
1155C2×#127—791no—
1156C2×#127—791no—
1157C2×#126—791no—
1158C2×#126—791no—
1159C2×#126—791no—
1160C2×#126—791no—
1161C2×#126—791no—
1162C2×#126—791no—
1163C2×#126C2×D7911yescharacteristic, complemented
1164C2×#126C2×D7911yescharacteristic, complemented
1165C2×#125—791no—
1166C2×#125—791no—
1167C2×#125—791no—
1168C2×#125—791no—
1169C2×#124—791no—
1170C2×#124—791no—
1171C2×#124—791no—
1172C2×#124—791no—
1173C2×#124—791no—
1174C2×#124C2×D7911yescharacteristic, complemented
1175#525—7916no—
1176C2×#123—791no—
1177C2×#123—791no—
1178C2×#123—791no—
1179C2×#123—791no—
1180C2×#123—7916no—
1181C2×#123—791no—
1182C2×#123—791no—
1183C2×#123—791no—
1184C2×#123—791no—
1185C2×#123—791no—
1186C2×#123—791no—
1187C2×#123—791no—
1188C2×#123—791no—
1189C2×#123—791no—
1190C2×#123—791no—
1191C2×#123—791no—
1192C2×#123—791no—
1193C2×#123—791no—
1194C2×#123—791no—
1195C2×#123—791no—
1196C2×#123—791no—
1197C2×#123—791no—
1198C2×#123—791no—
1199C2×#123—791no—
1200C2×#123—791no—
1201C2×#123—791no—
1202C2×#123C2×D7911yescharacteristic, complemented
1203C2×#123C2×D7911yescharacteristic, complemented
1204C2×#123C2×D7911yescharacteristic, complemented
1205C2×C22⋊Q8—791no—
1206C2×C22⋊Q8—791no—
1207C2×C22⋊Q8—791no—
1208C2×C22⋊Q8—791no—
1209C2×C22⋊Q8—791no—
1210C2×C22⋊Q8—791no—
1211C2×C22⋊Q8—791no—
1212C2×C22⋊Q8—791no—
1213C2×C22⋊Q8—791no—
1214C2×C22⋊Q8—791no—
1215C2×C22⋊Q8C2×D7911yescharacteristic, complemented
1216C2×C22⋊Q8C2×D7911yescharacteristic, complemented
1217C2×#121—791no—
1218C2×#121—791no—
1219C2×#121—791no—
1220C2×#121—791no—
1221C2×#121—791no—
1222C2×#121—791no—
1223C2×#121—791no—
1224C2×#121—791no—
1225C2×#121—791no—
1226C2×#121—791no—
1227C2×#121—791no—
1228C2×#121—791no—
1229C2×#121—791no—
1230C2×#121—791no—
1231C2×#121—791no—
1232C2×#121—791no—
1233C2×#121—791no—
1234C2×#121—791no—
1235C2×#121—791no—
1236C2×#121—791no—
1237C2×#121—791no—
1238C2×#121—791no—
1239C2×#121—791no—
1240C2×#121—791no—
1241C2×#121—791no—
1242C2×#121—791no—
1243C2×#121—791no—
1244C2×#121—791no—
1245C2×#121—791no—
1246C2×#121—791no—
1247C2×#121—791no—
1248C2×#121—791no—
1249C2×#121—791no—
1250C2×#121—791no—
1251C2×#121—791no—
1252C2×#121—791no—
1253C2×#121—7916no—
1254C2×#120—791no—
1255C2×#120—791no—
1256C2×#120—791no—
1257C2×#120—791no—
1258C2×#120—791no—
1259C2×#120—791no—
1260C2×#120—791no—
1261C2×#120—791no—
1262C2×#120—791no—
1263C2×#120—791no—
1264C2×#120—791no—
1265C2×#120—791no—
1266C2×#120—791no—
1267C2×#120—791no—
1268C2×#120—791no—
1269C2×#120C2×D7911yescharacteristic
1270C2×C4×D4—791no—
1271C2×C4×D4—791no—
1272C2×C4×D4—791no—
1273C2×C4×D4—791no—
1274C2×C4×D4—791no—
1275C2×C4×D4—791no—
1276C2×C4×D4—791no—
1277C2×C4×D4—791no—
1278C2×C4×D4—791no—
1279C2×C4×D4—791no—
1280C2×C4×D4—791no—
1281C2×C4×D4—791no—
1282C2×C4×D4—791no—
1283C2×C4×D4—791no—
1284C2×C4×D4C2×D7911yescharacteristic, complemented
1285C2×C4×D4C2×D7911yescharacteristic, complemented
1286C2×#117—791no—
1287C2×#117C2×D7911yescharacteristic, complemented
1288C2×#117C2×D7911yescharacteristic, complemented
1289C22×C4⋊C4—791no—
1290C22×C4⋊C4—791no—
1291C22×C4⋊C4—791no—
1292C22×C22⋊C4—791no—
1293C22×C22⋊C4—791no—
1294C22×C22⋊C4—791no—
1295C22×C22⋊C4—791no—
1296C22×C22⋊C4—791no—
1297C22×C22⋊C4—791no—
1298C22×C22⋊C4—791no—
1299C22×C22⋊C4C2×D7911yescharacteristic, complemented
1300C22×C22⋊C4C2×D7911yescharacteristic, complemented
1301C25—791no—
1302C25—791no—
1303C25—791no—
1304C25—791no—
1305C25—791no—
1306C25C22×D7911yescharacteristic
1307C2×#41—3164no—
1308C2×#41—3164no—
1309C2×#41—3164no—
1310C2×#41—798no—
1311C2×#41—798no—
1312C2×#41—798no—
1313C22×Q8—791no—
1314C22×Q8—791no—
1315C22×Q8C22×D7911yescharacteristic
1316C22×D4—3164no—
1317C22×D4—3164no—
1318C22×D4—3164no—
1319C22×D4—3164no—
1320C22×D4—3164no—
1321C22×D4—3164no—
1322C22×D4—3164no—
1323C22×D4—3164no—
1324C22×D4—791no—
1325C22×D4—791no—
1326C22×D4—791no—
1327C22×D4—791no—
1328C22×D4—791no—
1329C22×D4—791no—
1330C22×D4—791no—
1331C22×D4—791no—
1332C22×D4—791no—
1333C22×D4—791no—
1334C22×D4—791no—
1335C22×D4—791no—
1336C22×D4—791no—
1337C22×D4—798no—
1338C22×D4—798no—
1339C22×D4—798no—
1340C22×D4—798no—
1341C22×D4—798no—
1342C22×D4—798no—
1343C22×D4—791no—
1344C22×D4—791no—
1345C22×D4—791no—
1346C22×D4—791no—
1347C22×D4—791no—
1348C22×D4—791no—
1349C22×D4—791no—
1350C22×D4—791no—
1351C22×D4—791no—
1352C22×D4—791no—
1353C22×D4—791no—
1354C22×D4—791no—
1355C22×D4—791no—
1356C22×D4—791no—
1357C22×D4—791no—
1358C22×D4—791no—
1359C22×D4—791no—
1360C22×D4—798no—
1361C22×D4—798no—
1362C22×D4—791no—
1363C22×D4—791no—
1364C22×D4—791no—
1365C22×D4—791no—
1366C22×D4C22×D7911yescharacteristic
1367C22×D4C22×D7911yescharacteristic
1368C22×D4C22×D7911yescharacteristic
1369C23×C4—3164no—
1370C23×C4—791no—
1371C23×C4—791no—
1372C23×C4—791no—
1373C23×C4—791no—
1374C23×C4—791no—
1375C23×C4—791no—
1376C23×C4—791no—
1377C23×C4—791no—
1378C23×C4—791no—
1379C23×C4—791no—
1380C23×C4—791no—
1381C23×C4—791no—
1382C23×C4—791no—
1383C23×C4—791no—
1384C23×C4—791no—
1385C23×C4—791no—
1386C23×C4—798no—
1387C23×C4—791no—
1388C23×C4—791no—
1389C23×C4C22×D7911yescharacteristic
1390C23×C4C22×D7911yescharacteristic
1391C23×C4C22×D7911yescharacteristic
1392C23×C4C22×D7911yescharacteristic
1393C23×C4C22×D7911yescharacteristic
1394#127—798no—
1395#127—798no—
1396#126—798no—
1397#126—798no—
1398#126—798no—
1399#126—798no—
1400#126—798no—
1401#126—798no—
1402#126C22×D7918yescomplemented
1403#126C22×D7918yescomplemented
1404#125—798no—
1405#125—798no—
1406#125—798no—
1407#125—798no—
1408#124—798no—
1409#124—798no—
1410#124—798no—
1411#124—798no—
1412#124—798no—
1413#124C22×D7918yescomplemented
1414#123—798no—
1415#123—798no—
1416#123—798no—
1417#123—798no—
1418#123—798no—
1419#123—798no—
1420#123—798no—
1421#123—798no—
1422#123—798no—
1423#123—798no—
1424#123—798no—
1425#123—798no—
1426#123—798no—
1427#123—798no—
1428#123—798no—
1429#123—798no—
1430#123—798no—
1431#123—798no—
1432#123—798no—
1433#123—798no—
1434#123—798no—
1435#123—798no—
1436#123—798no—
1437#123—798no—
1438#123—798no—
1439#123C22×D7918yescomplemented
1440#123C22×D7918yescomplemented
1441#123C22×D7918yescomplemented
1442C22⋊Q8—798no—
1443C22⋊Q8—798no—
1444C22⋊Q8—798no—
1445C22⋊Q8—798no—
1446C22⋊Q8—798no—
1447C22⋊Q8—798no—
1448C22⋊Q8—798no—
1449C22⋊Q8—798no—
1450C22⋊Q8—798no—
1451C22⋊Q8—798no—
1452C22⋊Q8C22×D7918yescomplemented
1453C22⋊Q8C22×D7918yescomplemented
1454#121—798no—
1455#121—798no—
1456#121—798no—
1457#121—798no—
1458#121—798no—
1459#121—798no—
1460#121—798no—
1461#121—798no—
1462#121—798no—
1463#121—798no—
1464#121—798no—
1465#121—798no—
1466#121—798no—
1467#121—798no—
1468#121—798no—
1469#121—798no—
1470#121—798no—
1471#121—798no—
1472#121—798no—
1473#121—798no—
1474#121—798no—
1475#121—798no—
1476#121—798no—
1477#121—798no—
1478#121—798no—
1479#121—798no—
1480#121—798no—
1481#121—798no—
1482#121—798no—
1483#121—798no—
1484#121—798no—
1485#121—798no—
1486#121—798no—
1487#121—798no—
1488#121—798no—
1489#121—798no—
1490#120—798no—
1491#120—798no—
1492#120—798no—
1493#120—798no—
1494#120—798no—
1495#120—798no—
1496#120—798no—
1497#120—798no—
1498#120—798no—
1499#120—798no—
1500#120—798no—
1501#120—798no—
1502#120—798no—
1503#120—798no—
1504#120—798no—
1505#120C22×D7918yes—
1506C4×D4—798no—
1507C4×D4—798no—
1508C4×D4—798no—
1509C4×D4—798no—
1510C4×D4—798no—
1511C4×D4—798no—
1512C4×D4—798no—
1513C4×D4—798no—
1514C4×D4—798no—
1515C4×D4—798no—
1516C4×D4—798no—
1517C4×D4—798no—
1518C4×D4—798no—
1519C4×D4—798no—
1520C4×D4C22×D7918yescomplemented
1521C4×D4C22×D7918yescomplemented
1522#117—798no—
1523#117C22×D7918yescomplemented
1524#117C22×D7918yescomplemented
1525C2×C4⋊C4—791no—
1526C2×C4⋊C4—791no—
1527C2×C4⋊C4—791no—
1528C2×C4⋊C4—791no—
1529C2×C4⋊C4—791no—
1530C2×C4⋊C4—798no—
1531C2×C4⋊C4—791no—
1532C2×C4⋊C4—791no—
1533C2×C4⋊C4—791no—
1534C2×C4⋊C4—791no—
1535C2×C4⋊C4—791no—
1536C2×C4⋊C4—791no—
1537C2×C4⋊C4—791no—
1538C2×C4⋊C4—791no—
1539C2×C4⋊C4—791no—
1540C2×C4⋊C4—791no—
1541C2×C4⋊C4—791no—
1542C2×C4⋊C4—791no—
1543C2×C4⋊C4—791no—
1544C2×C4⋊C4—791no—
1545C2×C4⋊C4—791no—
1546C2×C4⋊C4—791no—
1547C2×C4⋊C4—791no—
1548C2×C4⋊C4—798no—
1549C2×C4⋊C4—798no—
1550C2×C4⋊C4C22×D7911yescharacteristic
1551C2×C4⋊C4C22×D7911yescharacteristic
1552C2×C4⋊C4C22×D7911yescharacteristic
1553C2×C4⋊C4C22×D7911yescharacteristic
1554C2×C4⋊C4C22×D7911yescharacteristic
1555C2×C4⋊C4C22×D7911yescharacteristic
1556C2×C4⋊C4C22×D7911yescharacteristic
1557C2×C4⋊C4C22×D7911yescharacteristic
1558C2×C22⋊C4—791no—
1559C2×C22⋊C4—791no—
1560C2×C22⋊C4—791no—
1561C2×C22⋊C4—791no—
1562C2×C22⋊C4—791no—
1563C2×C22⋊C4—791no—
1564C2×C22⋊C4—791no—
1565C2×C22⋊C4—791no—
1566C2×C22⋊C4—791no—
1567C2×C22⋊C4—791no—
1568C2×C22⋊C4—791no—
1569C2×C22⋊C4—791no—
1570C2×C22⋊C4—791no—
1571C2×C22⋊C4—791no—
1572C2×C22⋊C4—791no—
1573C2×C22⋊C4—791no—
1574C2×C22⋊C4—791no—
1575C2×C22⋊C4—791no—
1576C2×C22⋊C4—791no—
1577C2×C22⋊C4—791no—
1578C2×C22⋊C4—798no—
1579C2×C22⋊C4—791no—
1580C2×C22⋊C4—791no—
1581C2×C22⋊C4—791no—
1582C2×C22⋊C4—791no—
1583C2×C22⋊C4—791no—
1584C2×C22⋊C4—791no—
1585C2×C22⋊C4—791no—
1586C2×C22⋊C4—791no—
1587C2×C22⋊C4—791no—
1588C2×C22⋊C4—791no—
1589C2×C22⋊C4—791no—
1590C2×C22⋊C4—791no—
1591C2×C22⋊C4—791no—
1592C2×C22⋊C4—791no—
1593C2×C22⋊C4—791no—
1594C2×C22⋊C4—791no—
1595C2×C22⋊C4—798no—
1596C2×C22⋊C4—798no—
1597C2×C22⋊C4—798no—
1598C2×C22⋊C4—798no—
1599C2×C22⋊C4—798no—
1600C2×C22⋊C4—798no—
1601C2×C22⋊C4C22×D7911yescharacteristic
1602C2×C22⋊C4C22×D7911yescharacteristic
1603C2×C22⋊C4C22×D7911yescharacteristic
1604C2×C22⋊C4C22×D7911yescharacteristic
1605C2×C22⋊C4C22×D7911yescharacteristic
1606C2×C22⋊C4C22×D7911yescharacteristic
1607C2×C22⋊C4C22×D7911yescharacteristic
1608C2×C22⋊C4C22×D7911yescharacteristic
1609C2×C22⋊C4C22×D7911yescharacteristic
1610C2×C22⋊C4C22×D7911yescharacteristic
1611C2×C22⋊C4C22×D7911yescharacteristic
1612C2×C22⋊C4C22×D7911yescharacteristic
1613C2×C22⋊C4C22×D7911yescharacteristic
1614C2×C22⋊C4C22×D7911yescharacteristic
1615C2×C22⋊C4C22×D7918yescomplemented
1616C2×C22⋊C4C22×D7918yescomplemented
1617C2×C42—791no—
1618C2×C42—791no—
1619C2×C42—791no—
1620C2×C42C22×D7911yescharacteristic
1621C2×C42C22×D7911yescharacteristic
1622C2×C42C22×D7911yescharacteristic
1623C24—24no—
1624C24—42no—
1625C24—42no—
1626C24—3162no—
1627C24—3162no—
1628C24—3162no—
1629C24—3162no—
1630C24—3162no—
1631C24—3162no—
1632C24—3162no—
1633C24—3162no—
1634C24—3162no—
1635C24—3162no—
1636C24—3162no—
1637C24—794no—
1638C24—794no—
1639C24—794no—
1640C24—794no—
1641C24—794no—
1642C24—791no—
1643C24—791no—
1644C24—791no—
1645C24—791no—
1646C24—791no—
1647C24—791no—
1648C24—791no—
1649C24—1584no—
1650C24—1584no—
1651C24—1584no—
1652C24—1584no—
1653C24C23×D7911yescharacteristic
1654C24C23×D7911yescharacteristic
1655C24C23×D7911yescharacteristic
1656C24C23×D7911yescharacteristic
1657C24C23×D7914yes—
1658#41—31616no—
1659#41—31616no—
1660#41—31616no—
1661C2×Q8—42no—
1662C2×Q8—3162no—
1663C2×Q8—3162no—
1664C2×Q8—794no—
1665C2×Q8—794no—
1666C2×Q8C23×D7914yes—
1667C2×D4—24no—
1668C2×D4—42no—
1669C2×D4—42no—
1670C2×D4—3162no—
1671C2×D4—3162no—
1672C2×D4—3162no—
1673C2×D4—3162no—
1674C2×D4—3162no—
1675C2×D4—3162no—
1676C2×D4—3162no—
1677C2×D4—3162no—
1678C2×D4—3162no—
1679C2×D4—3162no—
1680C2×D4—3162no—
1681C2×D4—3162no—
1682C2×D4—31616no—
1683C2×D4—31616no—
1684C2×D4—31616no—
1685C2×D4—31616no—
1686C2×D4—31616no—
1687C2×D4—31616no—
1688C2×D4—31616no—
1689C2×D4—3162no—
1690C2×D4—3162no—
1691C2×D4—3162no—
1692C2×D4—3162no—
1693C2×D4—3162no—
1694C2×D4—3162no—
1695C2×D4—3162no—
1696C2×D4—31616no—
1697C2×D4—3162no—
1698C2×D4—3162no—
1699C2×D4—3162no—
1700C2×D4—3162no—
1701C2×D4—3162no—
1702C2×D4—3162no—
1703C2×D4—794no—
1704C2×D4—794no—
1705C2×D4—794no—
1706C2×D4—794no—
1707C2×D4—794no—
1708C2×D4—794no—
1709C2×D4—794no—
1710C2×D4—794no—
1711C2×D4—794no—
1712C2×D4—794no—
1713C2×D4—794no—
1714C2×D4—794no—
1715C2×D4—794no—
1716C2×D4—794no—
1717C2×D4—794no—
1718C2×D4—794no—
1719C2×D4—794no—
1720C2×D4—794no—
1721C2×D4—794no—
1722C2×D4—794no—
1723C2×D4—794no—
1724C2×D4—794no—
1725C2×D4—794no—
1726C2×D4—794no—
1727C2×D4—794no—
1728C2×D4—794no—
1729C2×D4—794no—
1730C2×D4—794no—
1731C2×D4—794no—
1732C2×D4—794no—
1733C2×D4—794no—
1734C2×D4—794no—
1735C2×D4—794no—
1736C2×D4—794no—
1737C2×D4—1584no—
1738C2×D4—1584no—
1739C2×D4—1584no—
1740C2×D4—1584no—
1741C2×D4—1584no—
1742C2×D4—1584no—
1743C2×D4—1584no—
1744C2×D4—1584no—
1745C2×D4—1584no—
1746C2×D4C23×D7914yes—
1747C2×D4C23×D7914yes—
1748C2×D4C23×D7914yes—
1749C22×C4—24no—
1750C22×C4—42no—
1751C22×C4—42no—
1752C22×C4—42no—
1753C22×C4—42no—
1754C22×C4—3162no—
1755C22×C4—3162no—
1756C22×C4—3162no—
1757C22×C4—3162no—
1758C22×C4—31616no—
1759C22×C4—3162no—
1760C22×C4—3162no—
1761C22×C4—3162no—
1762C22×C4—3162no—
1763C22×C4—3162no—
1764C22×C4—3162no—
1765C22×C4—3162no—
1766C22×C4—3162no—
1767C22×C4—3162no—
1768C22×C4—3162no—
1769C22×C4—3162no—
1770C22×C4—3162no—
1771C22×C4—794no—
1772C22×C4—794no—
1773C22×C4—794no—
1774C22×C4—794no—
1775C22×C4—794no—
1776C22×C4—794no—
1777C22×C4—794no—
1778C22×C4—794no—
1779C22×C4—794no—
1780C22×C4—794no—
1781C22×C4—794no—
1782C22×C4—794no—
1783C22×C4—794no—
1784C22×C4—794no—
1785C22×C4—794no—
1786C22×C4—794no—
1787C22×C4—794no—
1788C22×C4—791no—
1789C22×C4—791no—
1790C22×C4—791no—
1791C22×C4—791no—
1792C22×C4—791no—
1793C22×C4—791no—
1794C22×C4—791no—
1795C22×C4—791no—
1796C22×C4—791no—
1797C22×C4—794no—
1798C22×C4—1584no—
1799C22×C4—1584no—
1800C22×C4C23×D7914yes—
1801C22×C4C23×D7911yescharacteristic
1802C22×C4C23×D7911yescharacteristic
1803C22×C4C23×D7911yescharacteristic
1804C22×C4C23×D7911yescharacteristic
1805C22×C4C23×D7911yescharacteristic
1806C22×C4C23×D7911yescharacteristic
1807C22×C4C23×D7911yescharacteristic
1808C22×C4C23×D7911yescharacteristic
1809C22×C4C23×D7911yescharacteristic
1810C22×C4C23×D7911yescharacteristic
1811C22×C4C23×D7911yescharacteristic
1812C22×C4C23×D7914yes—
1813C22×C4C23×D7914yes—
1814C22×C4C23×D7914yes—
1815C22×C4C23×D7914yes—
1816C4⋊C4—794no—
1817C4⋊C4—794no—
1818C4⋊C4—794no—
1819C4⋊C4—794no—
1820C4⋊C4—794no—
1821C4⋊C4—794no—
1822C4⋊C4—794no—
1823C4⋊C4—794no—
1824C4⋊C4—794no—
1825C4⋊C4—794no—
1826C4⋊C4—794no—
1827C4⋊C4—794no—
1828C4⋊C4—794no—
1829C4⋊C4—794no—
1830C4⋊C4—794no—
1831C4⋊C4—794no—
1832C4⋊C4—794no—
1833C4⋊C4—794no—
1834C4⋊C4—794no—
1835C4⋊C4—794no—
1836C4⋊C4—794no—
1837C4⋊C4—794no—
1838C4⋊C4C23×D7914yes—
1839C4⋊C4C23×D7914yes—
1840C4⋊C4C23×D7914yes—
1841C4⋊C4C23×D7914yes—
1842C4⋊C4C23×D7914yes—
1843C4⋊C4C23×D7914yes—
1844C4⋊C4C23×D7914yes—
1845C4⋊C4C23×D7914yes—
1846C22⋊C4—794no—
1847C22⋊C4—794no—
1848C22⋊C4—794no—
1849C22⋊C4—794no—
1850C22⋊C4—794no—
1851C22⋊C4—794no—
1852C22⋊C4—794no—
1853C22⋊C4—794no—
1854C22⋊C4—794no—
1855C22⋊C4—794no—
1856C22⋊C4—794no—
1857C22⋊C4—794no—
1858C22⋊C4—794no—
1859C22⋊C4—794no—
1860C22⋊C4—794no—
1861C22⋊C4—794no—
1862C22⋊C4—794no—
1863C22⋊C4—794no—
1864C22⋊C4—794no—
1865C22⋊C4—794no—
1866C22⋊C4—794no—
1867C22⋊C4—794no—
1868C22⋊C4—794no—
1869C22⋊C4—794no—
1870C22⋊C4—794no—
1871C22⋊C4—794no—
1872C22⋊C4—794no—
1873C22⋊C4—794no—
1874C22⋊C4—794no—
1875C22⋊C4—794no—
1876C22⋊C4—794no—
1877C22⋊C4—794no—
1878C22⋊C4—794no—
1879C22⋊C4—794no—
1880C22⋊C4—794no—
1881C22⋊C4—794no—
1882C22⋊C4C23×D7914yes—
1883C22⋊C4C23×D7914yes—
1884C22⋊C4C23×D7914yes—
1885C22⋊C4C23×D7914yes—
1886C22⋊C4C23×D7914yes—
1887C22⋊C4C23×D7914yes—
1888C22⋊C4C23×D7914yes—
1889C22⋊C4C23×D7914yes—
1890C22⋊C4C23×D7914yes—
1891C22⋊C4C23×D7914yes—
1892C22⋊C4C23×D7914yes—
1893C22⋊C4C23×D7914yes—
1894C22⋊C4C23×D7914yes—
1895C22⋊C4C23×D7914yes—
1896C42—794no—
1897C42—794no—
1898C42—794no—
1899C42C23×D7914yes—
1900C42C23×D7914yes—
1901C42C23×D7914yes—
1902C23—22no—
1903C23—22no—
1904C23—22no—
1905C23—22no—
1906C23—22no—
1907C23—22no—
1908C23—22no—
1909C23—22no—
1910C23—22no—
1911C23—22no—
1912C23—22no—
1913C23—28no—
1914C23—44no—
1915C23—44no—
1916C23—88no—
1917C23—31616no—
1918C23—3164no—
1919C23—3164no—
1920C23—3164no—
1921C23—3164no—
1922C23—3164no—
1923C23—3164no—
1924C23—3164no—
1925C23—3164no—
1926C23—3164no—
1927C23—3164no—
1928C23—3164no—
1929C23—794no—
1930C23—792no—
1931C23—792no—
1932C23—792no—
1933C23—792no—
1934C23—792no—
1935C23—792no—
1936C23—792no—
1937C23—6328no—
1938C23—6328no—
1939C23—6328no—
1940C23—6328no—
1941C23—1588no—
1942C23—1588no—
1943C23—1582no—
1944C23—1582no—
1945C23—1582no—
1946C23—1582no—
1947C23—1582no—
1948C23—1582no—
1949C23—1588no—
1950C23—1582no—
1951C23—1582no—
1952C23—1582no—
1953C23—1582no—
1954C23—1582no—
1955C23—1582no—
1956C23—1582no—
1957C23—1582no—
1958C23—1582no—
1959C23—1582no—
1960C23—1582no—
1961C23—1582no—
1962C23—1588no—
1963C23—1582no—
1964C23—1582no—
1965C23#1457920714yes—
1966C23C24×D7912yes—
1967C23C24×D7912yes—
1968C23C24×D7912yes—
1969C23C24×D7912yes—
1970C23C24×D7911yescharacteristic
1971Q8—44no—
1972Q8—3164no—
1973Q8—3164no—
1974D4—28no—
1975D4—44no—
1976D4—44no—
1977D4—3164no—
1978D4—3164no—
1979D4—3164no—
1980D4—3164no—
1981D4—3164no—
1982D4—3164no—
1983D4—3164no—
1984D4—3164no—
1985D4—3164no—
1986D4—3164no—
1987D4—3164no—
1988D4—3164no—
1989D4—3164no—
1990D4—3164no—
1991D4—3164no—
1992D4—3164no—
1993D4—3164no—
1994D4—3164no—
1995D4—3164no—
1996D4—3164no—
1997D4—3164no—
1998D4—3164no—
1999D4—3164no—
2000D4—3164no—
2001D4—3164no—
2002D4—1588no—
2003D4—1588no—
2004D4—1588no—
2005D4—1588no—
2006D4—1588no—
2007D4—1588no—
2008D4—1588no—
2009D4—1588no—
2010D4—1588no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—28no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—22no—
2023C2×C4—44no—
2024C2×C4—44no—
2025C2×C4—44no—
2026C2×C4—44no—
2027C2×C4—3164no—
2028C2×C4—3164no—
2029C2×C4—3164no—
2030C2×C4—3164no—
2031C2×C4—3164no—
2032C2×C4—3164no—
2033C2×C4—3164no—
2034C2×C4—3164no—
2035C2×C4—3164no—
2036C2×C4—3164no—
2037C2×C4—3164no—
2038C2×C4—3164no—
2039C2×C4—3164no—
2040C2×C4—3164no—
2041C2×C4—3164no—
2042C2×C4—3164no—
2043C2×C4—792no—
2044C2×C4—792no—
2045C2×C4—792no—
2046C2×C4—792no—
2047C2×C4—792no—
2048C2×C4—792no—
2049C2×C4—792no—
2050C2×C4—792no—
2051C2×C4—792no—
2052C2×C4—1588no—
2053C2×C4—1582no—
2054C2×C4—1582no—
2055C2×C4—1582no—
2056C2×C4—1588no—
2057C2×C4—1582no—
2058C2×C4—1582no—
2059C2×C4—1582no—
2060C2×C4—1582no—
2061C2×C4—1582no—
2062C2×C4—1582no—
2063C2×C4C24×D7912yes—
2064C2×C4C24×D7912yes—
2065C2×C4C24×D7912yes—
2066C2×C4C24×D7912yes—
2067C2×C4C24×D7912yes—
2068C2×C4C24×D7912yes—
2069C2×C4C24×D7912yes—
2070C2×C4C24×D7912yes—
2071C2×C4C24×D7912yes—
2072C2×C4C24×D7912yes—
2073C2×C4C24×D7912yes—
2074C22—28no—
2075C22—22no—
2076C22—22no—
2077C22—22no—
2078C22—22no—
2079C22—22no—
2080C22—22no—
2081C22—22no—
2082C22—22no—
2083C22—22no—
2084C22—22no—
2085C22—22no—
2086C22—44no—
2087C22—44no—
2088C22—44no—
2089C22—88no—
2090C22—31616no—
2091C22—3164no—
2092C22—3164no—
2093C22—3164no—
2094C22—3164no—
2095C22—3164no—
2096C22—3164no—
2097C22—794no—
2098C22—6328no—
2099C22—6328no—
2100C22—6328no—
2101C22—6328no—
2102C22—1582no—
2103C22—1582no—
2104C22—1582no—
2105C22—1582no—
2106C22—1582no—
2107C22—1582no—
2108C22—1582no—
2109C22—1582no—
2110C22—1582no—
2111C22—1582no—
2112C22—1582no—
2113C22—1582no—
2114C22—1582no—
2115C22—1582no—
2116C22—1582no—
2117C22—1582no—
2118C22—1582no—
2119C22—1582no—
2120C22—1588no—
2121C22—1582no—
2122C22—1582no—
2123C22H(5,𝔽2)×D7912yes—
2124C22C2×#1457920714yes—
2125C22C2×#1457920712yes—
2126C22#1909939912yes—
2127C22C25×D7911yescharacteristic
2128C4—22no—
2129C4—22no—
2130C4—22no—
2131C4—22no—
2132C4—22no—
2133C4—22no—
2134C4—22no—
2135C4—22no—
2136C4—22no—
2137C4—22no—
2138C4—22no—
2139C4—1582no—
2140C4—1582no—
2141C4—1582no—
2142C4—1582no—
2143C4—1582no—
2144C4—1582no—
2145C4—1582no—
2146C4—1582no—
2147C4—1582no—
2148C2—24no—
2149C2—42no—
2150C2—42no—
2151C2—42no—
2152C2—3162no—
2153C2—3162no—
2154C2—3162no—
2155C2—3162no—
2156C2—3162no—
2157C2—3162no—
2158C2—1584no—
2159C2#2377759314yesdirect product factor
2160C2C2×H(5,𝔽2)×D7911yescharacteristic
2161C2C22×#1457920711yescharacteristic
2162C2C2×#1909939911yescharacteristic
subgroupG/H
centerC23C24×D79
commutator, cosocleC22×C79C26
FrattiniC22C25×D79
FittingC2×#551×C79C2
socleC23×C79C25
hypercenterC2×#551D79
hypocenterC79C2×#3534
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C23 ◁ C2×#551

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #23777593C2direct (N × H)
2. C2×#19099310C2semidirect
3. C2×#19099309C2semidirect
4. C2×#19099304C2semidirect
5. C2×#19099303C2semidirect
6. C2×#19099264C2semidirect
7. C2×#19099257C2semidirect
8. C2×#19099237C2semidirect
9. C2×#19099209C2semidirect
10. C2×#19099206C2semidirect
11. C2×#19099205C2semidirect
12. C2×#19099204C2semidirect
13. C2×#19099203C2semidirect
14. C2×#19099203C2semidirect
15. C2×D4×D316C2semidirect
16. C2×#19099195C2semidirect
17. C2×#19099168C2semidirect
18. C2×#19099164C2semidirect
19. C2×#19099162C2semidirect
20. C2×#19099155C2semidirect
21. C2×#19099154C2semidirect
22. C2×#19099152C2semidirect
23. C2×#19099149C2semidirect
24. C2×#19099147C2semidirect
25. C2×#19099143C2semidirect
26. C2×#19099125C2semidirect
27. C2×#19099124C2semidirect
28. C2×#19099123C2semidirect
29. C2×#19099075C2semidirect
30. C2×#123×D79C2semidirect
31. C22×#14579134C2semidirect
32. C2×#551×C79C2semidirect
33. C22×#11929625C22semidirect
34. C22×#11929624C22semidirect
35. C22×#11929624C22semidirect
36. C23×D316C22semidirect
37. C23×D316C22semidirect
38. C23×C22⋊D79C22semidirect
39. C23×C22⋊D79C22semidirect
40. C23×C22⋊D79C22semidirect
42. C22×D4×D79C22semidirect
43. C22×D4×D79C22semidirect
44. C23×C4×D79C22semidirect
45. #19099310C22semidirect
46. #19099309C22semidirect
47. #19099304C22semidirect
48. #19099303C22semidirect
49. #19099264C22semidirect
50. #19099257C22semidirect
51. #19099237C22semidirect
52. #19099209C22semidirect
53. #19099206C22semidirect
54. #19099205C22semidirect
55. #19099204C22semidirect
56. #19099203C22semidirect
57. #19099203C22semidirect
58. D4×D316C22semidirect
59. #19099195C22semidirect
60. #19099168C22semidirect
61. #19099164C22semidirect
62. #19099162C22semidirect
63. #19099155C22semidirect
64. #19099154C22semidirect
65. #19099152C22semidirect
66. #19099149C22semidirect
67. #19099147C22semidirect
68. #19099143C22semidirect
69. #19099125C22semidirect
70. #19099124C22semidirect
71. #19099123C22semidirect
72. C2×#14579158C22semidirect
73. C2×#14579157C22semidirect
74. C2×#14579156C22semidirect
75. C2×#14579156C22semidirect
76. C2×#14579156C22semidirect
77. C2×#14579155C22semidirect
78. C2×#14579155C22semidirect
79. C2×#14579154C22semidirect
80. C2×#14579153C22semidirect
81. C2×#14579152C22semidirect
82. C2×#14579152C22semidirect
83. C2×#14579151C22semidirect
84. C2×#14579150C22semidirect
85. C2×#14579149C22semidirect
86. C2×#14579147C22semidirect
87. C2×#14579147C22semidirect
88. C2×#14579147C22semidirect
89. #19099075C22semidirect
90. C2×#14579146C22semidirect
91. C2×#14579146C22semidirect
92. C2×#14579146C22semidirect
93. C2×#14579146C22semidirect
94. C2×#14579146C22semidirect
95. C2×#14579146C22semidirect
96. C2×#14579146C22semidirect
97. C2×#14579146C22semidirect
98. C2×#14579146C22semidirect
99. C2×#14579145C22semidirect
100. C2×#14579145C22semidirect
101. C2×#14579145C22semidirect
102. C2×#14579145C22semidirect
103. C2×#14579145C22semidirect
104. C2×#14579144C22semidirect
105. C2×#14579144C22semidirect
106. C2×#14579144C22semidirect
107. C2×#14579143C22semidirect
108. C2×#14579143C22semidirect
109. C2×#14579143C22semidirect
110. C2×#14579143C22semidirect
111. C2×#14579143C22semidirect
112. C2×#14579143C22semidirect
113. C2×#14579143C22semidirect
114. C2×#14579142C22semidirect
115. #123×D79C22semidirect
116. C2×#14579141C22semidirect
117. C2×#14579141C22semidirect
118. C2×#14579140C22semidirect
119. C2×#14579139C22semidirect
120. C2×#14579139C22semidirect
121. C2×#14579139C22semidirect
122. C2×#14579138C22semidirect
123. C2×#14579138C22semidirect
124. C2×#14579137C22semidirect
125. C2×#14579137C22semidirect
126. C2×#14579136C22semidirect
127. C2×#14579136C22semidirect
128. C2×#14579136C22semidirect
129. C2×#14579136C22semidirect
130. C2×#14579136C22semidirect
131. C2×#14579136C22semidirect
132. C2×#14579136C22semidirect
133. C2×#14579136C22semidirect
135. C2×#14579135C22semidirect
136. C2×#14579135C22semidirect
137. C2×#14579135C22semidirect
138. C2×#14579135C22semidirect
139. C2×#14579135C22semidirect
140. C2×#14579135C22semidirect
142. C2×#14579134C22semidirect
143. C2×#14579134C22semidirect
144. C2×#14579134C22semidirect
145. C2×#14579134C22semidirect
146. C2×#14579134C22semidirect
147. C2×#14579134C22semidirect
148. C2×#14579134C22semidirect
149. C2×#14579134C22semidirect
150. C2×#14579134C22semidirect
151. C2×#14579134C22semidirect
152. C2×#14579134C22semidirect
153. C2×#14579134C22semidirect
154. C2×#14579134C22semidirect
155. C2×#14579134C22semidirect
156. C2×#14579134C22semidirect
157. C2×#14579134C22semidirect
158. C2×#14579134C22semidirect
160. C2×#14579133C22semidirect
161. C2×#14579132C22semidirect
162. C2×#14579132C22semidirect
164. C2×#14579131C22semidirect
165. C2×#14579131C22semidirect
166. C2×#14579131C22semidirect
167. C2×#14579131C22semidirect
168. C2×#14579131C22semidirect
169. C2×#14579131C22semidirect
170. C2×#14579131C22semidirect
171. C2×#14579131C22semidirect
172. C2×#14579131C22semidirect
173. C2×#14579131C22semidirect
174. C2×#14579130C22semidirect
175. C2×#14579129C22semidirect
176. C2×#14579129C22semidirect
177. C2×#14579129C22semidirect
178. C2×C4×D316C22semidirect
179. C2×C4×D316C22semidirect
180. C2×C4×D316C22semidirect
181. C2×C4×D316C22semidirect
182. C2×C4×D316C22semidirect
183. C2×C4×D316C22semidirect
184. C2×#14579123C22semidirect
185. C2×#14579123C22semidirect
186. C2×C4×C22⋊D79C22semidirect
187. C2×C4×C22⋊D79C22semidirect
188. C2×(C22⋊D79)⋊C4C22semidirect
189. C2×(C22⋊D79)⋊C4C22semidirect
190. C2×(C22⋊D79)⋊C4C22semidirect
191. C2×(C22⋊D79)⋊C4C22semidirect
192. C2×#14579118C22semidirect
193. C22×Dic79⋊C4C22semidirect
194. C2×C4⋊C4×D79C22semidirect
195. C2×C4⋊C4×D79C22semidirect
196. C22×(C2×D79)⋊C4C22semidirect
197. C2×C22⋊C4×D79C22semidirect
198. C2×C22⋊C4×D79C22semidirect
199. C2×C22⋊C4×D79C22semidirect
200. C2×C22⋊C4×D79C22semidirect
201. C2×C22⋊C4×D79C22semidirect
202. C2×C22⋊C4×D79C22semidirect
203. #551×C79C22semidirect
204. C2×#126×C79C22semidirect
205. C2×#126×C79C22semidirect
206. C2×#124×C79C22semidirect
207. C2×#123×C79C22semidirect
208. C2×#123×C79C22semidirect
209. C2×#123×C79C22semidirect
210. C2×C22⋊Q8×C79C22semidirect
211. C2×C22⋊Q8×C79C22semidirect
213. C2×C4×D4×C79C22semidirect
214. C2×C4×D4×C79C22semidirect
215. C2×#117×C79C22semidirect
216. C2×#117×C79C22semidirect
217. C22×C22⋊C4×C79C22semidirect
218. C22×C22⋊C4×C79C22semidirect
225. C2×#11929625C23semidirect
228. C2×#11929624C23semidirect
229. C2×#11929624C23semidirect
250. C22×D316C23semidirect
251. C22×D316C23semidirect
273. C22×C22⋊D79C23semidirect
274. C22×C22⋊D79C23semidirect
275. C22×C22⋊D79C23semidirect
280. C2×D4×D79C23semidirect
281. C2×D4×D79C23semidirect
301. C22×C4×D79C23semidirect
302. #14579158C23semidirect
303. #14579157C23semidirect
304. #14579156C23semidirect
305. #14579156C23semidirect
306. #14579156C23semidirect
307. #14579155C23semidirect
308. #14579155C23semidirect
309. #14579154C23semidirect
310. #14579153C23semidirect
311. #14579152C23semidirect
312. #14579152C23semidirect
313. #14579151C23semidirect
314. #14579150C23semidirect
315. #14579149C23semidirect
316. #14579147C23semidirect
317. #14579147C23semidirect
318. #14579147C23semidirect
319. #14579146C23semidirect
320. #14579146C23semidirect
321. #14579146C23semidirect
322. #14579146C23semidirect
323. #14579146C23semidirect
324. #14579146C23semidirect
325. #14579146C23semidirect
326. #14579146C23semidirect
327. #14579146C23semidirect
328. #14579145C23semidirect
329. #14579145C23semidirect
330. #14579145C23semidirect
331. #14579145C23semidirect
332. #14579145C23semidirect
333. #14579144C23semidirect
334. #14579144C23semidirect
335. #14579144C23semidirect
336. #14579143C23semidirect
337. #14579143C23semidirect
338. #14579143C23semidirect
339. #14579143C23semidirect
340. #14579143C23semidirect
341. #14579143C23semidirect
342. #14579143C23semidirect
343. #14579142C23semidirect
344. #14579141C23semidirect
345. #14579141C23semidirect
346. #14579140C23semidirect
347. #14579139C23semidirect
348. #14579139C23semidirect
349. #14579139C23semidirect
350. #14579138C23semidirect
351. #14579138C23semidirect
352. #14579137C23semidirect
353. #14579137C23semidirect
354. #14579136C23semidirect
355. #14579136C23semidirect
356. #14579136C23semidirect
357. #14579136C23semidirect
358. #14579136C23semidirect
359. #14579136C23semidirect
360. #14579136C23semidirect
361. #14579136C23semidirect
363. #14579135C23semidirect
364. #14579135C23semidirect
365. #14579135C23semidirect
366. #14579135C23semidirect
367. #14579135C23semidirect
368. #14579135C23semidirect
370. #14579134C23semidirect
371. #14579134C23semidirect
372. #14579134C23semidirect
373. #14579134C23semidirect
374. #14579134C23semidirect
375. #14579134C23semidirect
376. #14579134C23semidirect
377. #14579134C23semidirect
378. #14579134C23semidirect
379. #14579134C23semidirect
380. #14579134C23semidirect
381. #14579134C23semidirect
382. #14579134C23semidirect
383. #14579134C23semidirect
384. #14579134C23semidirect
385. #14579134C23semidirect
387. #14579133C23semidirect
388. #14579132C23semidirect
389. #14579132C23semidirect
391. #14579131C23semidirect
392. #14579131C23semidirect
393. #14579131C23semidirect
394. #14579131C23semidirect
395. #14579131C23semidirect
396. #14579131C23semidirect
397. #14579131C23semidirect
398. #14579131C23semidirect
399. #14579131C23semidirect
400. #14579131C23semidirect
401. #14579130C23semidirect
402. #14579129C23semidirect
403. #14579129C23semidirect
404. #14579129C23semidirect
405. C4×D316C23semidirect
406. C4×D316C23semidirect
407. C4×D316C23semidirect
408. C4×D316C23semidirect
409. C4×D316C23semidirect
410. C4×D316C23semidirect
411. #14579123C23semidirect
412. #14579123C23semidirect
413. C4×C22⋊D79C23semidirect
414. C4×C22⋊D79C23semidirect
415. (C22⋊D79)⋊C4C23semidirect
416. (C22⋊D79)⋊C4C23semidirect
417. (C22⋊D79)⋊C4C23semidirect
418. (C22⋊D79)⋊C4C23semidirect
419. #14579118C23semidirect
442. C2×Dic79⋊C4C23semidirect
443. C4⋊C4×D79C23semidirect
444. C4⋊C4×D79C23semidirect
481. C2×(C2×D79)⋊C4C23semidirect
482. C22⋊C4×D79C23semidirect
483. C22⋊C4×D79C23semidirect
484. C22⋊C4×D79C23semidirect
485. C22⋊C4×D79C23semidirect
486. C22⋊C4×D79C23semidirect
487. C22⋊C4×D79C23semidirect
501. #126×C79C23semidirect
502. #126×C79C23semidirect
503. #124×C79C23semidirect
504. #123×C79C23semidirect
505. #123×C79C23semidirect
506. #123×C79C23semidirect
507. C22⋊Q8×C79C23semidirect
508. C22⋊Q8×C79C23semidirect
510. C4×D4×C79C23semidirect
511. C4×D4×C79C23semidirect
512. #117×C79C23semidirect
513. #117×C79C23semidirect
536. C2×C22⋊C4×C79C23semidirect
537. C2×C22⋊C4×C79C23semidirect
1071. C2×C79#3534semidirect
1090. C2×#551D79semidirect
1114. C79C2×#3534semidirect
1134. #551C2×D79semidirect
1163. C2×#126C2×D79semidirect
1164. C2×#126C2×D79semidirect
1174. C2×#124C2×D79semidirect
1202. C2×#123C2×D79semidirect
1203. C2×#123C2×D79semidirect
1204. C2×#123C2×D79semidirect
1215. C2×C22⋊Q8C2×D79semidirect
1216. C2×C22⋊Q8C2×D79semidirect
1284. C2×C4×D4C2×D79semidirect
1285. C2×C4×D4C2×D79semidirect
1287. C2×#117C2×D79semidirect
1288. C2×#117C2×D79semidirect
1299. C22×C22⋊C4C2×D79semidirect
1300. C22×C22⋊C4C2×D79semidirect
1402. #126C22×D79semidirect
1403. #126C22×D79semidirect
1413. #124C22×D79semidirect
1439. #123C22×D79semidirect
1440. #123C22×D79semidirect
1441. #123C22×D79semidirect
1452. C22⋊Q8C22×D79semidirect
1453. C22⋊Q8C22×D79semidirect
1520. C4×D4C22×D79semidirect
1521. C4×D4C22×D79semidirect
1523. #117C22×D79semidirect
1524. #117C22×D79semidirect
1615. C2×C22⋊C4C22×D79semidirect
1616. C2×C22⋊C4C22×D79semidirect
2159. C2#23777593direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#237775932
C2×#190993102
C2×#190993092
C2×#190993042
C2×#190993032
C2×#190992642
C2×#190992572
C2×#190992372
C2×#190992092
C2×#190992062
C2×#190992052
C2×#190992042
C2×#190992032
C2×D4×D3162
C2×#190991952
C2×#190991682
C2×#190991642
C2×#190991622
C2×#190991552
C2×#190991542
C2×#190991522
C2×#190991492
C2×#190991472
C2×#190991432
C2×#190991252
C2×#190991242
C2×#190991232
C2×#190990752
C2×#123×D792
C22×#145791342
C2×#551×C792
C2×#353479