Finite Group Databasebeta

← C2×#23777615 #35195488

Subgroups — C2×#23777615 #35195488

Order 20224.

7962 conjugacy classes of subgroups.

The subgroup lattice has 2088 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777615C2132yesmaximal, direct product factor
2C2×#19099310C211yesmaximal, characteristic, complemented
3C2×#19099308C211yesmaximal, characteristic, complemented
4C2×#19099308C211yesmaximal, characteristic, complemented
5C2×#19099307C211yesmaximal, characteristic, complemented
6C2×#19099272C211yesmaximal, characteristic, complemented
7C2×#19099267C211yesmaximal, characteristic, complemented
8C2×#19099222C211yesmaximal, characteristic, complemented
9C2×#19099219C211yesmaximal, characteristic, complemented
10C2×#19099212C211yesmaximal, characteristic, complemented
11C2×#19099211C211yesmaximal, characteristic, complemented
12C2×#19099207C211yesmaximal, characteristic, complemented
13C2×#19099203C211yesmaximal, characteristic, complemented
14C2×#19099203C211yesmaximal, characteristic, complemented
15C2×#19099200C211yesmaximal, characteristic, complemented
16C2×#19099200C211yesmaximal, characteristic, complemented
17C2×#19099189C211yesmaximal, characteristic, complemented
18C2×#19099188C211yesmaximal, characteristic, complemented
19C2×#19099181C211yesmaximal, characteristic, complemented
20C2×#19099177C211yesmaximal, characteristic, complemented
21C2×#19099157C211yesmaximal, characteristic, complemented
22C2×#19099155C211yesmaximal, characteristic, complemented
23C2×#19099148C211yesmaximal, characteristic, complemented
24C2×#19099146C211yesmaximal, characteristic, complemented
25C2×#19099142C211yesmaximal, characteristic, complemented
26C2×#19099141C211yesmaximal, characteristic, complemented
27C2×#19099140C211yesmaximal, characteristic, complemented
28C2×#19099140C211yesmaximal, characteristic, complemented
29C2×#19099069C211yesmaximal, characteristic, complemented
30C22×#14579138C211yesmaximal, characteristic, complemented
31C22×#14579133C211yesmaximal, characteristic, complemented
32C2×#546×C79C211yesmaximal, characteristic, complemented
33C22×#11929624C2211yescharacteristic, complemented
34C22×#11929624C2211yescharacteristic, complemented
35C22×#11929623C2211yescharacteristic, complemented
36C22×#11929623C2211yescharacteristic, complemented
37C22×#11929623C2211yescharacteristic, complemented
38C22×#11929623C2211yescharacteristic, complemented
39C23×Dic158C2211yescharacteristic, complemented
40C23×C22⋊D79C2211yescharacteristic
41C23×C22⋊D79C2211yescharacteristic
42C24×Dic79C2211yescharacteristic
43#19099310C22116yescomplemented
44#19099308C22116yescomplemented
45#19099308C22116yescomplemented
46#19099307C22116yescomplemented
47#19099272C22116yescomplemented
48#19099267C22116yescomplemented
49#19099222C22116yescomplemented
50#19099219C22116yescomplemented
51#19099212C22116yescomplemented
52#19099211C22116yescomplemented
53#19099207C22116yescomplemented
54#19099203C22116yescomplemented
55#19099203C22116yescomplemented
56#19099200C22116yescomplemented
57#19099200C22116yescomplemented
58#19099189C22116yescomplemented
59#19099188C22116yescomplemented
60#19099181C22116yescomplemented
61#19099177C22116yescomplemented
62#19099157C22116yescomplemented
63#19099155C22116yescomplemented
64#19099148C22116yescomplemented
65#19099146C22116yescomplemented
66#19099142C22116yescomplemented
67#19099141C22116yescomplemented
68#19099140C22116yescomplemented
69#19099140C22116yescomplemented
70C2×#14579160C2211yescharacteristic, complemented
71C2×#14579159C2211yescharacteristic, complemented
72C2×#14579156C2211yescharacteristic, complemented
73C2×#14579155C2211yescharacteristic, complemented
74C2×#14579154C2211yescharacteristic, complemented
75C2×#14579154C2211yescharacteristic, complemented
76C2×#14579153C2211yescharacteristic, complemented
77C2×#14579152C2211yescharacteristic, complemented
78C2×#14579151C2211yescharacteristic, complemented
79C2×#14579151C2211yescharacteristic, complemented
80C2×#14579149C2211yescharacteristic, complemented
81C2×#14579148C2211yescharacteristic, complemented
82C2×#14579148C2211yescharacteristic, complemented
83C2×#14579147C2211yescharacteristic, complemented
84C2×#14579147C2211yescharacteristic, complemented
85C2×#14579147C2211yescharacteristic, complemented
86C2×#14579147C2211yescharacteristic, complemented
87C2×#14579147C2211yescharacteristic, complemented
88C2×#14579147C2211yescharacteristic, complemented
89#19099069C22116yescomplemented
90C2×#14579146C2211yescharacteristic, complemented
91C2×#14579145C2211yescharacteristic, complemented
92C2×#14579145C2211yescharacteristic, complemented
93C2×#14579145C2211yescharacteristic, complemented
94C2×#14579144C2211yescharacteristic, complemented
95C2×#14579144C2211yescharacteristic, complemented
96C2×#14579144C2211yescharacteristic, complemented
97C2×#14579143C2211yescharacteristic, complemented
98C2×#14579143C2211yescharacteristic, complemented
99C2×#14579143C2211yescharacteristic, complemented
100C2×#14579143C2211yescharacteristic, complemented
101C2×#14579143C2211yescharacteristic, complemented
102C2×#14579142C2211yescharacteristic, complemented
103C2×#14579142C2211yescharacteristic, complemented
104C2×#14579142C2211yescharacteristic, complemented
105C2×#14579142C2211yescharacteristic, complemented
106C2×#14579141C2211yescharacteristic, complemented
107C2×#14579141C2211yescharacteristic, complemented
108C2×#14579140C2211yescharacteristic
109C2×#14579140C2211yescharacteristic, complemented
110C2×#14579140C2211yescharacteristic, complemented
111C2×#14579140C2211yescharacteristic, complemented
112C2×#14579140C2211yescharacteristic, complemented
113C2×#14579140C2211yescharacteristic, complemented
114C2×#14579139C2211yescharacteristic, complemented
115C2×#14579139C2211yescharacteristic, complemented
116C2×#14579139C2211yescharacteristic, complemented
117C2×#14579139C2211yescharacteristic, complemented
118C2×#14579139C2211yescharacteristic, complemented
119C2×#14579139C2211yescharacteristic, complemented
120C2×#14579138C2211yescharacteristic
121C2×#14579138C2211yescharacteristic
122C2×#14579138C2211yescharacteristic
123C2×#14579138C2211yescharacteristic
124C2×#14579138C2211yescharacteristic
125C2×#14579138C2211yescharacteristic
126C2×#14579138C2211yescharacteristic
127C2×#14579138C2211yescharacteristic, complemented
128C2×#14579138C2211yescharacteristic, complemented
129C2×#14579138C2211yescharacteristic, complemented
130C2×#14579138C2211yescharacteristic, complemented
131C2×#14579138C2211yescharacteristic, complemented
132C2×#14579138C2211yescharacteristic, complemented
133C2×#14579138C2211yescharacteristic, complemented
134C2×#14579138C2211yescharacteristic, complemented
135C2×#14579138C2211yescharacteristic, complemented
136C2×#14579138C2211yescharacteristic, complemented
137C2×#14579138C2211yescharacteristic, complemented
138C2×#14579138C22116yescomplemented
139C2×#14579137C2211yescharacteristic, complemented
140C2×#14579137C2211yescharacteristic, complemented
141C2×#14579137C2211yescharacteristic, complemented
142C2×#14579135C2211yescharacteristic, complemented
143C2×#14579135C2211yescharacteristic, complemented
144C2×#14579135C2211yescharacteristic, complemented
145C2×#14579134C2211yescharacteristic, complemented
146C2×#14579134C2211yescharacteristic, complemented
147C2×#14579134C2211yescharacteristic, complemented
148C2×#14579134C2211yescharacteristic, complemented
149C2×#14579134C2211yescharacteristic, complemented
150C2×#14579133C2211yescharacteristic
151C2×#14579133C2211yescharacteristic
152C2×#14579133C2211yescharacteristic
153C2×#14579133C2211yescharacteristic
154C2×#14579133C2211yescharacteristic
155C2×#14579133C2211yescharacteristic
156C2×#14579133C2211yescharacteristic
157C2×#14579133C2211yescharacteristic
158C2×#14579133C2211yescharacteristic
159C2×#14579133C22116yescomplemented
160C2×#14579133C2211yescharacteristic, complemented
161C2×#14579133C2211yescharacteristic, complemented
162C2×#14579133C2211yescharacteristic, complemented
163C2×#14579133C2211yescharacteristic, complemented
164C2×#14579133C2211yescharacteristic, complemented
165C2×#14579133C2211yescharacteristic, complemented
166C2×#14579133C2211yescharacteristic, complemented
167C2×#14579133C2211yescharacteristic, complemented
168C2×#14579132C2211yescharacteristic, complemented
169C2×#14579132C2211yescharacteristic, complemented
170C2×#14579132C2211yescharacteristic, complemented
171C2×#14579132C2211yescharacteristic, complemented
172C2×#14579131C2211yescharacteristic
173C2×#14579130C2211yescharacteristic
174C2×#14579130C2211yescharacteristic
175C2×#14579129C2211yescharacteristic
176C2×C4×Dic158C2211yescharacteristic, complemented
177C2×#14579126C2211yescharacteristic, complemented
178C2×D4×Dic79C2211yescharacteristic
179C2×D4×Dic79C2211yescharacteristic
180C2×D4×Dic79C2211yescharacteristic, complemented
181C2×D4×Dic79C2211yescharacteristic, complemented
182C2×C4×C22⋊D79C2211yescharacteristic
183C2×C4×C22⋊D79C2211yescharacteristic, complemented
184C2×C4×C22⋊D79C2211yescharacteristic, complemented
185C2×(C22⋊D79)⋊C4C2211yescharacteristic
186C2×(C22⋊D79)⋊C4C2211yescharacteristic
187C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
188C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
189C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
190C2×#14579117C2211yescharacteristic, complemented
191C22×C4⋊Dic79C2211yescharacteristic, complemented
192C22×Dic79⋊C4C2211yescharacteristic
193C22×Dic79⋊C4C2211yescharacteristic, complemented
194C22×Dic79⋊C4C2211yescharacteristic, complemented
195C22×Dic79⋊C4C2211yescharacteristic, complemented
196C2×C4⋊C4×D79C2211yescharacteristic, complemented
197C22×C22⋊Dic79C2211yescharacteristic
198C22×C22⋊Dic79C2211yescharacteristic
199C22×C22⋊Dic79C2211yescharacteristic
200C22×(C2×D79)⋊C4C2211yescharacteristic
201C2×C22⋊C4×D79C2211yescharacteristic
202C2×C22⋊C4×D79C2211yescharacteristic
203C22×#41×C79C2211yescharacteristic, complemented
204C23×D4×C79C2211yescharacteristic
205#546×C79C22116yescomplemented
206C2×#124×C79C2211yescharacteristic, complemented
207C2×#123×C79C2211yescharacteristic, complemented
208C2×#123×C79C2211yescharacteristic, complemented
209C2×C22⋊Q8×C79C2211yescharacteristic
210C2×#121×C79C2211yescharacteristic, complemented
211C2×#121×C79C2211yescharacteristic, complemented
212C2×#121×C79C2211yescharacteristic, complemented
213C2×#120×C79C2211yescharacteristic
214C2×#120×C79C2211yescharacteristic
215C2×C4×D4×C79C2211yescharacteristic
216C2×C4×D4×C79C2211yescharacteristic, complemented
217C22×C22⋊C4×C79C2211yescharacteristic
218C22×C22⋊C4×C79C2211yescharacteristic
219C24×D79C2311yescharacteristic
220C2×#11929624—44no—
221C2×#11929624—44no—
222C2×#11929624C2318yescomplemented
223C2×#11929624C2318yescomplemented
224C2×#11929623—44no—
225C2×#11929623—44no—
226C2×#11929623—44no—
227C2×#11929623—44no—
228C2×#11929623C2318yescomplemented
229C2×#11929623C2318yescomplemented
230C2×#11929623C2318yescomplemented
231C2×#11929623C2318yescomplemented
232C22×Dic158—44no—
233C22×Dic158C2311yescharacteristic
234C22×Dic158C2311yescharacteristic
235C22×Dic158C2311yescharacteristic
236C22×Dic158C2311yescharacteristic
237C22×Dic158C2311yescharacteristic
238C22×Dic158C2311yescharacteristic
239C22×Dic158C2311yescharacteristic
240C22×Dic158C2311yescharacteristic
241C22×Dic158C2318yescomplemented
242C22×D316C2311yescharacteristic
243C22×D316C2311yescharacteristic
244C22×C22⋊D79—44no—
245C22×C22⋊D79—44no—
246C22×C22⋊D79C2311yescharacteristic
247C22×C22⋊D79C2311yescharacteristic
248C22×C22⋊D79C2311yescharacteristic
249C22×C22⋊D79C2311yescharacteristic
250C22×C22⋊D79C2311yescharacteristic
251C22×C22⋊D79C2311yescharacteristic
252C22×C22⋊D79C2318yes—
253C22×C22⋊D79C2318yes—
254C22×C22⋊D79C2311yescharacteristic
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
264C23×Dic79—44no—
265C23×Dic79C2311yescharacteristic
266C23×Dic79C2311yescharacteristic
267C23×Dic79C2311yescharacteristic
268C23×Dic79C2311yescharacteristic
269C23×Dic79C2311yescharacteristic
270C23×Dic79C2311yescharacteristic
271C23×Dic79C2311yescharacteristic
272C23×Dic79C2311yescharacteristic
273C23×Dic79C2311yescharacteristic
274C23×Dic79C2311yescharacteristic
275C23×Dic79C2311yescharacteristic
276C23×Dic79C2311yescharacteristic
277C23×Dic79C2311yescharacteristic
278C23×Dic79C2318yes—
279C22×C4×D79C2311yescharacteristic
280C22×C4×D79C2311yescharacteristic
281C22×C4×D79C2311yescharacteristic
282C22×C4×D79C2311yescharacteristic
283C22×C4×D79C2311yescharacteristic
284C22×C4×D79C2311yescharacteristic
285C22×C4×D79C2311yescharacteristic
286#14579160C2318yescomplemented
287#14579159C2318yescomplemented
288#14579156C2318yescomplemented
289#14579155C2318yescomplemented
290#14579154C2318yescomplemented
291#14579154C2318yescomplemented
292#14579153C2318yescomplemented
293#14579152C2318yescomplemented
294#14579151C2318yescomplemented
295#14579151C2318yescomplemented
296#14579149C2318yescomplemented
297#14579148C2318yescomplemented
298#14579148C2318yescomplemented
299#14579147C2318yescomplemented
300#14579147C2318yescomplemented
301#14579147C2318yescomplemented
302#14579147C2318yescomplemented
303#14579147C2318yescomplemented
304#14579147C2318yescomplemented
305#14579146C2318yescomplemented
306#14579145C2318yescomplemented
307#14579145C2318yescomplemented
308#14579145C2318yescomplemented
309#14579144C2318yescomplemented
310#14579144C2318yescomplemented
311#14579144C2318yescomplemented
312#14579143C2318yescomplemented
313#14579143C2318yescomplemented
314#14579143C2318yescomplemented
315#14579143C2318yescomplemented
316#14579143C2318yescomplemented
317#14579142C2318yescomplemented
318#14579142C2318yescomplemented
319#14579142C2318yescomplemented
320#14579142C2318yescomplemented
321#14579141C2318yescomplemented
322#14579141C2318yescomplemented
323#14579140C2318yes—
324#14579140C2318yescomplemented
325#14579140C2318yescomplemented
326#14579140C2318yescomplemented
327#14579140C2318yescomplemented
328#14579140C2318yescomplemented
329#14579139C2318yescomplemented
330#14579139C2318yescomplemented
331#14579139C2318yescomplemented
332#14579139C2318yescomplemented
333#14579139C2318yescomplemented
334#14579139C2318yescomplemented
335#14579138C2318yes—
336#14579138C2318yes—
337#14579138C2318yes—
338#14579138C2318yes—
339#14579138C2318yes—
340#14579138C2318yes—
341#14579138C2318yes—
342#14579138C2318yescomplemented
343#14579138C2318yescomplemented
344#14579138C2318yescomplemented
345#14579138C2318yescomplemented
346#14579138C2318yescomplemented
347#14579138C2318yescomplemented
348#14579138C2318yescomplemented
349#14579138C2318yescomplemented
350#14579138C2318yescomplemented
351#14579138C2318yescomplemented
352#14579138C2318yescomplemented
353#14579137C2318yescomplemented
354#14579137C2318yescomplemented
355#14579137C2318yescomplemented
356#14579135C2318yescomplemented
357#14579135C2318yescomplemented
358#14579135C2318yescomplemented
359#14579134C2318yescomplemented
360#14579134C2318yescomplemented
361#14579134C2318yescomplemented
362#14579134C2318yescomplemented
363#14579134C2318yescomplemented
364#14579133C2318yes—
365#14579133C2318yes—
366#14579133C2318yes—
367#14579133C2318yes—
368#14579133C2318yes—
369#14579133C2318yes—
370#14579133C2318yes—
371#14579133C2318yes—
372#14579133C2318yes—
373#14579133C2318yescomplemented
374#14579133C2318yescomplemented
375#14579133C2318yescomplemented
376#14579133C2318yescomplemented
377#14579133C2318yescomplemented
378#14579133C2318yescomplemented
379#14579133C2318yescomplemented
380#14579133C2318yescomplemented
381#14579132C2318yescomplemented
382#14579132C2318yescomplemented
383#14579132C2318yescomplemented
384#14579132C2318yescomplemented
385#14579131C2318yes—
386#14579130C2318yes—
387#14579130C2318yes—
388#14579129C2318yes—
389C4×Dic158C2318yescomplemented
390#14579126C2318yescomplemented
391D4×Dic79C2318yes—
392D4×Dic79C2318yes—
393D4×Dic79C2318yescomplemented
394D4×Dic79C2318yescomplemented
395C4×C22⋊D79C2318yes—
396C4×C22⋊D79C2318yescomplemented
397C4×C22⋊D79C2318yescomplemented
398(C22⋊D79)⋊C4C2318yes—
399(C22⋊D79)⋊C4C2318yes—
400(C22⋊D79)⋊C4C2318yescomplemented
401(C22⋊D79)⋊C4C2318yescomplemented
402(C22⋊D79)⋊C4C2318yescomplemented
403#14579117C2318yescomplemented
404C2×C4⋊Dic79C2311yescharacteristic
405C2×C4⋊Dic79C2311yescharacteristic
406C2×C4⋊Dic79C2311yescharacteristic
407C2×C4⋊Dic79C2311yescharacteristic
408C2×C4⋊Dic79C2311yescharacteristic
409C2×C4⋊Dic79C2311yescharacteristic
410C2×C4⋊Dic79C2311yescharacteristic
411C2×C4⋊Dic79C2311yescharacteristic
412C2×C4⋊Dic79C2311yescharacteristic
413C2×C4⋊Dic79C2311yescharacteristic
414C2×C4⋊Dic79C2318yescomplemented
415C2×Dic79⋊C4C2318yes—
416C2×Dic79⋊C4C2311yescharacteristic
417C2×Dic79⋊C4C2311yescharacteristic
418C2×Dic79⋊C4C2311yescharacteristic
419C2×Dic79⋊C4C2311yescharacteristic
420C2×Dic79⋊C4C2311yescharacteristic
421C2×Dic79⋊C4C2311yescharacteristic
422C2×Dic79⋊C4C2311yescharacteristic
423C2×Dic79⋊C4C2311yescharacteristic
424C2×Dic79⋊C4C2311yescharacteristic
425C2×Dic79⋊C4C2311yescharacteristic
426C2×Dic79⋊C4C2311yescharacteristic
427C2×Dic79⋊C4C2311yescharacteristic
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⋊C4C2318yescomplemented
441C2×Dic79⋊C4C2318yescomplemented
442C2×Dic79⋊C4C2318yescomplemented
443C4⋊C4×D79C2318yescomplemented
444C2×C22⋊Dic79C2318yes—
445C2×C22⋊Dic79C2318yes—
446C2×C22⋊Dic79C2318yes—
447C2×C22⋊Dic79C2311yescharacteristic
448C2×C22⋊Dic79C2311yescharacteristic
449C2×C22⋊Dic79C2311yescharacteristic
450C2×C22⋊Dic79C2311yescharacteristic
451C2×C22⋊Dic79C2311yescharacteristic
452C2×C22⋊Dic79C2311yescharacteristic
453C2×C22⋊Dic79C2311yescharacteristic
454C2×C22⋊Dic79C2311yescharacteristic
455C2×C22⋊Dic79C2311yescharacteristic
456C2×C22⋊Dic79C2311yescharacteristic
457C2×C22⋊Dic79C2311yescharacteristic
458C2×C22⋊Dic79C2311yescharacteristic
459C2×C22⋊Dic79C2311yescharacteristic
460C2×C22⋊Dic79C2311yescharacteristic
461C2×C22⋊Dic79C2311yescharacteristic
462C2×C22⋊Dic79C2311yescharacteristic
463C2×C22⋊Dic79C2311yescharacteristic
464C2×C22⋊Dic79C2311yescharacteristic
465C2×(C2×D79)⋊C4C2318yes—
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)⋊C4C2311yescharacteristic
482C22⋊C4×D79C2318yes—
483C22⋊C4×D79C2318yes—
484C2×C4×Dic79C2311yescharacteristic
485C2×C4×Dic79C2311yescharacteristic
486C2×C4×Dic79C2311yescharacteristic
487C2×C4×Dic79C2311yescharacteristic
488C2×C4×Dic79C2311yescharacteristic
489C25×C79C2311yescharacteristic
490C25×C79C2311yescharacteristic
491C2×#41×C79—44no—
492C2×#41×C79C2318yescomplemented
493C22×Q8×C79C2311yescharacteristic
494C22×D4×C79—44no—
495C22×D4×C79C2311yescharacteristic
496C22×D4×C79C2311yescharacteristic
497C22×D4×C79C2311yescharacteristic
498C22×D4×C79C2311yescharacteristic
499C22×D4×C79C2318yes—
500C22×D4×C79C2311yescharacteristic
501C22×D4×C79C2311yescharacteristic
502C22×D4×C79C2311yescharacteristic
503C22×D4×C79C2311yescharacteristic
504C22×D4×C79C2311yescharacteristic
505C23×C4×C79C2311yescharacteristic
506C23×C4×C79C2311yescharacteristic
507C23×C4×C79C2311yescharacteristic
508C23×C4×C79C2311yescharacteristic
509C23×C4×C79C2311yescharacteristic
510C23×C4×C79C2311yescharacteristic
511#124×C79C2318yescomplemented
512#123×C79C2318yescomplemented
513#123×C79C2318yescomplemented
514C22⋊Q8×C79C2318yes—
515#121×C79C2318yescomplemented
516#121×C79C2318yescomplemented
517#121×C79C2318yescomplemented
518#120×C79C2318yes—
519#120×C79C2318yes—
520C4×D4×C79C2318yes—
521C4×D4×C79C2318yescomplemented
522C2×C4⋊C4×C79C2311yescharacteristic
523C2×C4⋊C4×C79C2311yescharacteristic
524C2×C4⋊C4×C79C2311yescharacteristic
525C2×C4⋊C4×C79C2311yescharacteristic
526C2×C22⋊C4×C79C2318yes—
527C2×C22⋊C4×C79C2318yes—
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×C79C2311yescharacteristic
537C2×C22⋊C4×C79C2311yescharacteristic
538C2×C22⋊C4×C79C2311yescharacteristic
539C2×C22⋊C4×C79C2311yescharacteristic
540C2×C42×C79C2311yescharacteristic
541C23×D79—24no—
542C23×D79—42no—
543C23×D79—42no—
544C23×D79C2411yescharacteristic
545C23×D79C2411yescharacteristic
546C23×D79C2411yescharacteristic
547C23×D79C2414yes—
548#11929624—416no—
549#11929624—416no—
550#11929623—416no—
551#11929623—416no—
552#11929623—416no—
553#11929623—416no—
554C2×Dic158—24no—
555C2×Dic158—24no—
556C2×Dic158—42no—
557C2×Dic158—42no—
558C2×Dic158—42no—
559C2×Dic158—42no—
560C2×Dic158—42no—
561C2×Dic158—42no—
562C2×Dic158—416no—
563C2×Dic158C2414yes—
564C2×Dic158C2414yes—
565C2×Dic158C2414yes—
566C2×Dic158C2414yes—
567C2×Dic158C2414yes—
568C2×Dic158C2414yes—
569C2×Dic158C2414yes—
570C2×Dic158C2414yes—
571C2×D316—42no—
572C2×D316—42no—
573C2×D316C2414yes—
574C2×D316C2414yes—
575C2×C22⋊D79—24no—
576C2×C22⋊D79—24no—
577C2×C22⋊D79—24no—
578C2×C22⋊D79—24no—
579C2×C22⋊D79—24no—
580C2×C22⋊D79—24no—
581C2×C22⋊D79—416no—
582C2×C22⋊D79—416no—
583C2×C22⋊D79—42no—
584C2×C22⋊D79—42no—
585C2×C22⋊D79—42no—
586C2×C22⋊D79—42no—
587C2×C22⋊D79—42no—
588C2×C22⋊D79—42no—
589C2×C22⋊D79—42no—
590C2×C22⋊D79—42no—
591C2×C22⋊D79—42no—
592C2×C22⋊D79—42no—
593C2×C22⋊D79C2414yes—
594C2×C22⋊D79C2414yes—
595C2×C22⋊D79C2414yes—
596C2×C22⋊D79C2414yes—
597C2×C22⋊D79C2414yes—
598C2×C22⋊D79C2414yes—
599C2×C22⋊D79C2414yes—
600C2×C22⋊D79C2414yes—
601C2×C22⋊D79C2414yes—
602C2×C22⋊D79C2414yes—
603C2×C22⋊D79C2414yes—
604C2×C22⋊D79C2414yes—
605C2×C22⋊D79C2414yes—
606C2×C22⋊D79C2414yes—
607C2×C22⋊D79C2414yes—
608C2×C22⋊D79C2414yes—
609C22×Dic79—24no—
610C22×Dic79—24no—
611C22×Dic79—24no—
612C22×Dic79—24no—
613C22×Dic79—24no—
614C22×Dic79—42no—
615C22×Dic79—42no—
616C22×Dic79—42no—
617C22×Dic79—42no—
618C22×Dic79—42no—
619C22×Dic79—42no—
620C22×Dic79—42no—
621C22×Dic79—42no—
622C22×Dic79—416no—
623C22×Dic79C2411yescharacteristic
624C22×Dic79C2411yescharacteristic
625C22×Dic79C2411yescharacteristic
626C22×Dic79C2411yescharacteristic
627C22×Dic79C2411yescharacteristic
628C22×Dic79C2411yescharacteristic
629C22×Dic79C2411yescharacteristic
630C22×Dic79C2411yescharacteristic
631C22×Dic79C2411yescharacteristic
632C22×Dic79C2411yescharacteristic
633C22×Dic79C2414yes—
634C22×Dic79C2414yes—
635C22×Dic79C2414yes—
636C22×Dic79C2414yes—
637C22×Dic79C2411yescharacteristic
638C22×Dic79C2411yescharacteristic
639C22×Dic79C2414yes—
640C22×Dic79C2414yes—
641C22×Dic79C2414yes—
642C22×Dic79C2414yes—
643C22×Dic79C2414yes—
644C22×Dic79C2414yes—
645C22×Dic79C2414yes—
646C22×Dic79C2414yes—
647C22×Dic79C2414yes—
648C22×Dic79C2411yescharacteristic
649C2×C4×D79—24no—
650C2×C4×D79—42no—
651C2×C4×D79—42no—
652C2×C4×D79—42no—
653C2×C4×D79—42no—
654C2×C4×D79—42no—
655C2×C4×D79—42no—
656C2×C4×D79C2414yes—
657C2×C4×D79C2414yes—
658C2×C4×D79C2414yes—
659C2×C4×D79C2414yes—
660C2×C4×D79C2414yes—
661C2×C4×D79C2414yes—
662C2×C4×D79C2414yes—
663C4⋊Dic79C2414yes—
664C4⋊Dic79C2414yes—
665C4⋊Dic79C2414yes—
666C4⋊Dic79C2414yes—
667C4⋊Dic79C2414yes—
668C4⋊Dic79C2414yes—
669C4⋊Dic79C2414yes—
670C4⋊Dic79C2414yes—
671C4⋊Dic79C2414yes—
672C4⋊Dic79C2414yes—
673Dic79⋊C4C2414yes—
674Dic79⋊C4C2414yes—
675Dic79⋊C4C2414yes—
676Dic79⋊C4C2414yes—
677Dic79⋊C4C2414yes—
678Dic79⋊C4C2414yes—
679Dic79⋊C4C2414yes—
680Dic79⋊C4C2414yes—
681Dic79⋊C4C2414yes—
682Dic79⋊C4C2414yes—
683Dic79⋊C4C2414yes—
684Dic79⋊C4C2414yes—
685Dic79⋊C4C2414yes—
686Dic79⋊C4C2414yes—
687Dic79⋊C4C2414yes—
688Dic79⋊C4C2414yes—
689Dic79⋊C4C2414yes—
690Dic79⋊C4C2414yes—
691Dic79⋊C4C2414yes—
692Dic79⋊C4C2414yes—
693Dic79⋊C4C2414yes—
694Dic79⋊C4C2414yes—
695Dic79⋊C4C2414yes—
696Dic79⋊C4C2414yes—
697C22⋊Dic79C2414yes—
698C22⋊Dic79C2414yes—
699C22⋊Dic79C2414yes—
700C22⋊Dic79C2414yes—
701C22⋊Dic79C2414yes—
702C22⋊Dic79C2414yes—
703C22⋊Dic79C2414yes—
704C22⋊Dic79C2414yes—
705C22⋊Dic79C2414yes—
706C22⋊Dic79C2414yes—
707C22⋊Dic79C2414yes—
708C22⋊Dic79C2414yes—
709C22⋊Dic79C2414yes—
710C22⋊Dic79C2414yes—
711C22⋊Dic79C2414yes—
712C22⋊Dic79C2414yes—
713C22⋊Dic79C2414yes—
714C22⋊Dic79C2414yes—
715(C2×D79)⋊C4C2414yes—
716(C2×D79)⋊C4C2414yes—
717(C2×D79)⋊C4C2414yes—
718(C2×D79)⋊C4C2414yes—
719(C2×D79)⋊C4C2414yes—
720(C2×D79)⋊C4C2414yes—
721(C2×D79)⋊C4C2414yes—
722(C2×D79)⋊C4C2414yes—
723(C2×D79)⋊C4C2414yes—
724(C2×D79)⋊C4C2414yes—
725(C2×D79)⋊C4C2414yes—
726(C2×D79)⋊C4C2414yes—
727(C2×D79)⋊C4C2414yes—
728(C2×D79)⋊C4C2414yes—
729(C2×D79)⋊C4C2414yes—
730(C2×D79)⋊C4C2414yes—
731C4×Dic79C2414yes—
732C4×Dic79C2414yes—
733C4×Dic79C2414yes—
734C4×Dic79C2414yes—
735C4×Dic79C2414yes—
736C24×C79—24no—
737C24×C79—24no—
738C24×C79—24no—
739C24×C79—42no—
740C24×C79—42no—
741C24×C79—42no—
742C24×C79C2411yescharacteristic
743C24×C79C2411yescharacteristic
744C24×C79C2411yescharacteristic
745C24×C79C2411yescharacteristic
746C24×C79C2414yes—
747C24×C79C2411yescharacteristic
748C24×C79C2411yescharacteristic
749C24×C79C2414yes—
750#41×C79—416no—
751C2×Q8×C79—42no—
752C2×Q8×C79C2414yes—
753C2×D4×C79—24no—
754C2×D4×C79—24no—
755C2×D4×C79—24no—
756C2×D4×C79—24no—
757C2×D4×C79—42no—
758C2×D4×C79—42no—
759C2×D4×C79—42no—
760C2×D4×C79—42no—
761C2×D4×C79—42no—
762C2×D4×C79—416no—
763C2×D4×C79C2414yes—
764C2×D4×C79C2414yes—
765C2×D4×C79C2414yes—
766C2×D4×C79C2414yes—
767C2×D4×C79C2414yes—
768C2×D4×C79C2414yes—
769C2×D4×C79C2414yes—
770C2×D4×C79C2414yes—
771C2×D4×C79C2414yes—
772C22×C4×C79—24no—
773C22×C4×C79—42no—
774C22×C4×C79—42no—
775C22×C4×C79—42no—
776C22×C4×C79—42no—
777C22×C4×C79—42no—
778C22×C4×C79C2411yescharacteristic
779C22×C4×C79C2411yescharacteristic
780C22×C4×C79C2411yescharacteristic
781C22×C4×C79C2411yescharacteristic
782C22×C4×C79C2411yescharacteristic
783C22×C4×C79C2411yescharacteristic
784C22×C4×C79C2414yes—
785C22×C4×C79C2411yescharacteristic
786C22×C4×C79C2411yescharacteristic
787C22×C4×C79C2411yescharacteristic
788C22×C4×C79C2414yes—
789C22×C4×C79C2414yes—
790C22×C4×C79C2414yes—
791C22×C4×C79C2414yes—
792C22×C4×C79C2414yes—
793C4⋊C4×C79C2414yes—
794C4⋊C4×C79C2414yes—
795C4⋊C4×C79C2414yes—
796C4⋊C4×C79C2414yes—
797C22⋊C4×C79C2414yes—
798C22⋊C4×C79C2414yes—
799C22⋊C4×C79C2414yes—
800C22⋊C4×C79C2414yes—
801C22⋊C4×C79C2414yes—
802C22⋊C4×C79C2414yes—
803C22⋊C4×C79C2414yes—
804C22⋊C4×C79C2414yes—
805C22⋊C4×C79C2414yes—
806C22⋊C4×C79C2414yes—
807C22⋊C4×C79C2414yes—
808C22⋊C4×C79C2414yes—
809C42×C79C2414yes—
810C23×C79—22no—
811C23×C79—22no—
812C23×C79—22no—
813C23×C79—22no—
814C23×C79—22no—
815C23×C79—22no—
816C23×C79—22no—
817C23×C79—22no—
818C23×C79—22no—
819C23×C79—22no—
820C23×C79—28no—
821C23×C79—22no—
822C23×C79—22no—
823C23×C79—22no—
824C23×C79—28no—
825C23×C79—22no—
826C23×C79—22no—
827C23×C79—22no—
828C23×C79—28no—
829C23×C79—44no—
830C23×C79—44no—
831C23×C79—44no—
832C23×C79—416no—
833C23×C79—88no—
834C23×C79H(5,𝔽2)14yes—
835C23×C792−1+414yes—
836C23×C79C2512yes—
837C23×C79C2512yes—
838C23×C79C2512yes—
839C23×C79C2512yes—
840C23×C79C2512yes—
841C23×C79C2512yes—
842C23×C79C2511yescharacteristic
843C22×D79—22no—
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—28no—
853C22×D79—44no—
854C22×D79—44no—
855C22×D79—88no—
856C22×D79C2512yes—
857C22×D79C2512yes—
858C22×D79C2512yes—
859Q8×C79—44no—
860D4×C79—28no—
861D4×C79—28no—
862D4×C79—28no—
863D4×C79—28no—
864D4×C79—44no—
865D4×C79—44no—
866D4×C79—44no—
867D4×C79—44no—
868D4×C79—44no—
869C2×C4×C79—22no—
870C2×C4×C79—22no—
871C2×C4×C79—22no—
872C2×C4×C79—22no—
873C2×C4×C79—22no—
874C2×C4×C79—22no—
875C2×C4×C79—22no—
876C2×C4×C79—28no—
877C2×C4×C79—22no—
878C2×C4×C79—22no—
879C2×C4×C79—44no—
880C2×C4×C79—44no—
881C2×C4×C79—44no—
882C2×C4×C79—44no—
883C2×C4×C79—44no—
884C2×C4×C79C2512yes—
885C2×C4×C79C2512yes—
886C2×C4×C79C2512yes—
887C2×C4×C79C2512yes—
888C2×C4×C79C2512yes—
889C2×C4×C79C2512yes—
890C2×C4×C79C2512yes—
891C2×C4×C79C2512yes—
892C2×C4×C79C2512yes—
893C22⋊D79—28no—
894C22⋊D79—28no—
895C22⋊D79—28no—
896C22⋊D79—28no—
897C22⋊D79—28no—
898C22⋊D79—28no—
899C22⋊D79—44no—
900C22⋊D79—44no—
901C22⋊D79—44no—
902C22⋊D79—44no—
903C22⋊D79—44no—
904C22⋊D79—44no—
905C22⋊D79—44no—
906C22⋊D79—44no—
907C22⋊D79—44no—
908C22⋊D79—44no—
909C2×Dic79—22no—
910C2×Dic79—22no—
911C2×Dic79—22no—
912C2×Dic79—22no—
913C2×Dic79—22no—
914C2×Dic79—22no—
915C2×Dic79—22no—
916C2×Dic79—22no—
917C2×Dic79—22no—
918C2×Dic79—28no—
919C2×Dic79—22no—
920C2×Dic79—22no—
921C2×Dic79—22no—
922C2×Dic79—28no—
923C2×Dic79—28no—
924C2×Dic79—28no—
925C2×Dic79—28no—
926C2×Dic79—44no—
927C2×Dic79—44no—
928C2×Dic79—44no—
929C2×Dic79—44no—
930C2×Dic79—44no—
931C2×Dic79—44no—
932C2×Dic79—44no—
933C2×Dic79—44no—
934C2×Dic79H(5,𝔽2)14yes—
935C2×Dic79C2512yes—
936C2×Dic79C2512yes—
937C2×Dic79C2512yes—
938C2×Dic79C2512yes—
939C2×Dic79C2512yes—
940C2×Dic79C2512yes—
941C2×Dic79C2512yes—
942C2×Dic79C2512yes—
943C2×Dic79C2512yes—
944C2×Dic79C2512yes—
945C2×Dic79C2512yes—
946C2×Dic79C2512yes—
947C2×Dic79C2512yes—
948D316—44no—
949D316—44no—
950C4×D79—28no—
951C4×D79—44no—
952C4×D79—44no—
953C4×D79—44no—
954C4×D79—44no—
955C4×D79—44no—
956C4×D79—44no—
957Dic158—28no—
958Dic158—28no—
959Dic158—44no—
960Dic158—44no—
961Dic158—44no—
962Dic158—44no—
963Dic158—44no—
964Dic158—44no—
965C22×C79—22no—
966C22×C79—22no—
967C22×C79—22no—
968C22×C79—22no—
969C22×C79—28no—
970C22×C79—28no—
971C22×C79—22no—
972C22×C79—22no—
973C22×C79—22no—
974C22×C79—22no—
975C22×C79—22no—
976C22×C79—22no—
977C22×C79—22no—
978C22×C79—22no—
979C22×C79—22no—
980C22×C79—22no—
981C22×C79—22no—
982C22×C79—22no—
983C22×C79—416no—
984C22×C79—44no—
985C22×C79—44no—
986C22×C79—44no—
987C22×C79—44no—
988C22×C79—88no—
989C22×C79C2×H(5,𝔽2)12yes—
990C22×C79C2×H(5,𝔽2)14yes—
991C22×C79C2×H(5,𝔽2)12yes—
992C22×C79C2×2−1+414yes—
993C22×C79C2×2−1+412yes—
994C22×C79C2611yescharacteristic
995C2×D79—22no—
996C2×D79—22no—
997C2×D79—22no—
998C2×D79—22no—
999C2×D79—22no—
1000C2×D79—22no—
1001C2×D79—22no—
1002C2×D79—22no—
1003C2×D79—22no—
1004C2×D79—44no—
1005C2×D79—44no—
1006C2×D79—44no—
1007C2×D79—88no—
1008C4×C79—22no—
1009C4×C79—22no—
1010C4×C79—22no—
1011C4×C79—22no—
1012C4×C79—22no—
1013C4×C79—22no—
1014C4×C79—22no—
1015C4×C79—22no—
1016C4×C79—22no—
1017Dic79—22no—
1018Dic79—22no—
1019Dic79—22no—
1020Dic79—22no—
1021Dic79—22no—
1022Dic79—22no—
1023Dic79—22no—
1024Dic79—22no—
1025Dic79—22no—
1026Dic79—22no—
1027Dic79—22no—
1028Dic79—22no—
1029Dic79C2×H(5,𝔽2)14yes—
1030C2×#3536—791nomaximal, Sylow
1031C2×C79—24no—
1032C2×C79—24no—
1033C2×C79—42no—
1034C2×C79—42no—
1035C2×C79—42no—
1036C2×C79—42no—
1037C2×C79#353614yescomplemented
1038C2×C79C22×H(5,𝔽2)11yescharacteristic
1039C2×C79C22×H(5,𝔽2)11yescharacteristic
1040C2×C79C22×2−1+411yescharacteristic
1041D79—42no—
1042D79—42no—
1043D79—42no—
1044#3536—7932no—
1045C2×#562—791no—
1046C2×#562—791no—
1047C2×#562—791no—
1048C2×#562—791no—
1049C2×#554—791no—
1050C2×#554—791no—
1051C2×#548—791no—
1052C2×#548—791no—
1053C2×#547—791no—
1054C2×#547—791no—
1055C2×#546—791no—
1056C2×#546—791no—
1057C2×#546—791no—
1058C2×#546—791no—
1059C2×#546—791no—
1060C2×#546D7911yescharacteristic, complemented
1061C2×#543—791no—
1062C2×#543—791no—
1063C2×#542—791no—
1064C2×#542—791no—
1065C2×#539—791no—
1066C2×#539—791no—
1067C2×#538—791no—
1068C2×#538—791no—
1069C2×#537—791no—
1070C2×#537—791no—
1071C2×#537—791no—
1072C2×#537—791no—
1073C2×#525—791no—
1074C22×C22⋊Q8—791no—
1075C22×#121—791no—
1076C79C2×#353611yescharacteristic, complemented, Sylow
1077C22×#41—791no—
1078C22×#41—791no—
1079C22×#41—791no—
1080C22×#41—791no—
1081C22×#41—791no—
1082C22×#41—791no—
1083C22×#41C2×D7911yescharacteristic, complemented
1084C23×Q8—791no—
1085C23×D4—791no—
1086C23×D4—791no—
1087C23×D4C2×D7911yescharacteristic
1088C24×C4—791no—
1089#562—7916no—
1090#562—7916no—
1091#562—7916no—
1092#562—7916no—
1093#554—7916no—
1094#554—7916no—
1095#548—7916no—
1096#548—7916no—
1097#547—7916no—
1098#547—7916no—
1099#546—7916no—
1100#546—7916no—
1101#546—7916no—
1102#546—7916no—
1103#546—7916no—
1104#546C2×D79116yescomplemented
1105#543—7916no—
1106#543—7916no—
1107#542—7916no—
1108#542—7916no—
1109#539—7916no—
1110#539—7916no—
1111#538—7916no—
1112#538—7916no—
1113#537—7916no—
1114#537—7916no—
1115#537—7916no—
1116#537—7916no—
1117C2×C4⋊Q8—791no—
1118C2×C4⋊Q8—791no—
1119C2×#126—791no—
1120C2×#126—791no—
1121C2×#126—791no—
1122C2×#126—791no—
1123C2×#125—791no—
1124C2×#125—791no—
1125C2×#125—791no—
1126C2×#125—791no—
1127C2×#124—791no—
1128C2×#124—791no—
1129C2×#124—791no—
1130C2×#124—791no—
1131C2×#124—791no—
1132C2×#124—791no—
1133C2×#124—791no—
1134C2×#124—791no—
1135C2×#124—791no—
1136C2×#124C2×D7911yescharacteristic, complemented
1137#525—7916no—
1138C2×#123—791no—
1139C2×#123—791no—
1140C2×#123—791no—
1141C2×#123—791no—
1142C2×#123—791no—
1143C2×#123—791no—
1144C2×#123—791no—
1145C2×#123—791no—
1146C2×#123—791no—
1147C2×#123—791no—
1148C2×#123—791no—
1149C2×#123—791no—
1150C2×#123—791no—
1151C2×#123—791no—
1152C2×#123—791no—
1153C2×#123—791no—
1154C2×#123C2×D7911yescharacteristic, complemented
1155C2×#123C2×D7911yescharacteristic, complemented
1156C2×C22⋊Q8—791no—
1157C2×C22⋊Q8—791no—
1158C2×C22⋊Q8—791no—
1159C2×C22⋊Q8—791no—
1160C2×C22⋊Q8—791no—
1161C2×C22⋊Q8—791no—
1162C2×C22⋊Q8—791no—
1163C2×C22⋊Q8—791no—
1164C2×C22⋊Q8—791no—
1165C2×C22⋊Q8—791no—
1166C2×C22⋊Q8—791no—
1167C2×C22⋊Q8—791no—
1168C2×C22⋊Q8—791no—
1169C2×C22⋊Q8—791no—
1170C2×C22⋊Q8—791no—
1171C2×C22⋊Q8—791no—
1172C2×C22⋊Q8—791no—
1173C2×C22⋊Q8—791no—
1174C2×C22⋊Q8—791no—
1175C2×C22⋊Q8—791no—
1176C2×C22⋊Q8—791no—
1177C2×C22⋊Q8—791no—
1178C2×C22⋊Q8—791no—
1179C2×C22⋊Q8—791no—
1180C2×C22⋊Q8—791no—
1181C2×C22⋊Q8—7916no—
1182C2×C22⋊Q8—791no—
1183C2×C22⋊Q8—791no—
1184C2×C22⋊Q8—791no—
1185C2×C22⋊Q8—791no—
1186C2×C22⋊Q8—791no—
1187C2×C22⋊Q8—791no—
1188C2×C22⋊Q8—791no—
1189C2×C22⋊Q8—791no—
1190C2×C22⋊Q8—791no—
1191C2×C22⋊Q8—791no—
1192C2×C22⋊Q8C2×D7911yescharacteristic
1193C2×#121—791no—
1194C2×#121—791no—
1195C2×#121—791no—
1196C2×#121—791no—
1197C2×#121—791no—
1198C2×#121—791no—
1199C2×#121—791no—
1200C2×#121—791no—
1201C2×#121—7916no—
1202C2×#121—791no—
1203C2×#121—791no—
1204C2×#121—791no—
1205C2×#121—791no—
1206C2×#121—791no—
1207C2×#121—791no—
1208C2×#121—791no—
1209C2×#121—791no—
1210C2×#121—791no—
1211C2×#121—791no—
1212C2×#121—791no—
1213C2×#121—791no—
1214C2×#121—791no—
1215C2×#121—791no—
1216C2×#121—791no—
1217C2×#121—791no—
1218C2×#121—791no—
1219C2×#121—791no—
1220C2×#121—791no—
1221C2×#121—791no—
1222C2×#121—791no—
1223C2×#121C2×D7911yescharacteristic, complemented
1224C2×#121C2×D7911yescharacteristic, complemented
1225C2×#121C2×D7911yescharacteristic, complemented
1226C2×#120—791no—
1227C2×#120—791no—
1228C2×#120—791no—
1229C2×#120—791no—
1230C2×#120C2×D7911yescharacteristic
1231C2×#120C2×D7911yescharacteristic
1232C2×C4×Q8—791no—
1233C2×C4×Q8—791no—
1234C2×C4×D4—791no—
1235C2×C4×D4—791no—
1236C2×C4×D4—791no—
1237C2×C4×D4—791no—
1238C2×C4×D4—791no—
1239C2×C4×D4—791no—
1240C2×C4×D4—791no—
1241C2×C4×D4—791no—
1242C2×C4×D4—791no—
1243C2×C4×D4—791no—
1244C2×C4×D4—791no—
1245C2×C4×D4—791no—
1246C2×C4×D4C2×D7911yescharacteristic
1247C2×C4×D4C2×D7911yescharacteristic, complemented
1248C2×#117—791no—
1249C22×C4⋊C4—791no—
1250C22×C4⋊C4—791no—
1251C22×C4⋊C4—791no—
1252C22×C4⋊C4—791no—
1253C22×C4⋊C4—791no—
1254C22×C4⋊C4—791no—
1255C22×C22⋊C4—791no—
1256C22×C22⋊C4—791no—
1257C22×C22⋊C4—791no—
1258C22×C22⋊C4—791no—
1259C22×C22⋊C4—791no—
1260C22×C22⋊C4—791no—
1261C22×C22⋊C4C2×D7911yescharacteristic
1262C22×C22⋊C4C2×D7911yescharacteristic
1263C25—791no—
1264C25C22×D7911yescharacteristic
1265C25C22×D7911yescharacteristic
1266C2×#41—44no—
1267C2×#41—3164no—
1268C2×#41—3164no—
1269C2×#41—3164no—
1270C2×#41—3164no—
1271C2×#41—3164no—
1272C2×#41—3164no—
1273C2×#41—798no—
1274C2×#41—798no—
1275C2×#41—798no—
1276C2×#41—798no—
1277C2×#41—798no—
1278C2×#41—798no—
1279C2×#41C22×D7918yescomplemented
1280C22×Q8—3164no—
1281C22×Q8—791no—
1282C22×Q8—791no—
1283C22×Q8—791no—
1284C22×Q8—791no—
1285C22×Q8—791no—
1286C22×Q8—791no—
1287C22×Q8—798no—
1288C22×Q8—791no—
1289C22×Q8—791no—
1290C22×Q8C22×D7911yescharacteristic
1291C22×D4—44no—
1292C22×D4—3164no—
1293C22×D4—3164no—
1294C22×D4—791no—
1295C22×D4—791no—
1296C22×D4—791no—
1297C22×D4—791no—
1298C22×D4—791no—
1299C22×D4—791no—
1300C22×D4—791no—
1301C22×D4—791no—
1302C22×D4—791no—
1303C22×D4—791no—
1304C22×D4—798no—
1305C22×D4—798no—
1306C22×D4—791no—
1307C22×D4—791no—
1308C22×D4—791no—
1309C22×D4—791no—
1310C22×D4—791no—
1311C22×D4—791no—
1312C22×D4—791no—
1313C22×D4—791no—
1314C22×D4C22×D7911yescharacteristic
1315C22×D4C22×D7911yescharacteristic
1316C22×D4C22×D7911yescharacteristic
1317C22×D4C22×D7911yescharacteristic
1318C22×D4C22×D7911yescharacteristic
1319C22×D4C22×D7911yescharacteristic
1320C22×D4C22×D7911yescharacteristic
1321C22×D4C22×D7911yescharacteristic
1322C22×D4C22×D7911yescharacteristic
1323C22×D4C22×D7918yes—
1324C23×C4—3164no—
1325C23×C4—791no—
1326C23×C4—791no—
1327C23×C4—791no—
1328C23×C4—791no—
1329C23×C4—791no—
1330C23×C4—791no—
1331C23×C4—791no—
1332C23×C4—791no—
1333C23×C4—798no—
1334C23×C4—791no—
1335C23×C4—791no—
1336C23×C4—791no—
1337C23×C4—791no—
1338C23×C4—791no—
1339C23×C4—791no—
1340C23×C4—791no—
1341C23×C4—791no—
1342C23×C4—791no—
1343C23×C4—791no—
1344C23×C4—791no—
1345C23×C4—791no—
1346C23×C4C22×D7911yescharacteristic
1347C23×C4C22×D7911yescharacteristic
1348C23×C4C22×D7911yescharacteristic
1349C23×C4C22×D7911yescharacteristic
1350C23×C4C22×D7911yescharacteristic
1351C23×C4C22×D7911yescharacteristic
1352C4⋊Q8—798no—
1353C4⋊Q8—798no—
1354#126—798no—
1355#126—798no—
1356#126—798no—
1357#126—798no—
1358#125—798no—
1359#125—798no—
1360#125—798no—
1361#125—798no—
1362#124—798no—
1363#124—798no—
1364#124—798no—
1365#124—798no—
1366#124—798no—
1367#124—798no—
1368#124—798no—
1369#124—798no—
1370#124—798no—
1371#124C22×D7918yescomplemented
1372#123—798no—
1373#123—798no—
1374#123—798no—
1375#123—798no—
1376#123—798no—
1377#123—798no—
1378#123—798no—
1379#123—798no—
1380#123—798no—
1381#123—798no—
1382#123—798no—
1383#123—798no—
1384#123—798no—
1385#123—798no—
1386#123—798no—
1387#123—798no—
1388#123C22×D7918yescomplemented
1389#123C22×D7918yescomplemented
1390C22⋊Q8—798no—
1391C22⋊Q8—798no—
1392C22⋊Q8—798no—
1393C22⋊Q8—798no—
1394C22⋊Q8—798no—
1395C22⋊Q8—798no—
1396C22⋊Q8—798no—
1397C22⋊Q8—798no—
1398C22⋊Q8—798no—
1399C22⋊Q8—798no—
1400C22⋊Q8—798no—
1401C22⋊Q8—798no—
1402C22⋊Q8—798no—
1403C22⋊Q8—798no—
1404C22⋊Q8—798no—
1405C22⋊Q8—798no—
1406C22⋊Q8—798no—
1407C22⋊Q8—798no—
1408C22⋊Q8—798no—
1409C22⋊Q8—798no—
1410C22⋊Q8—798no—
1411C22⋊Q8—798no—
1412C22⋊Q8—798no—
1413C22⋊Q8—798no—
1414C22⋊Q8—798no—
1415C22⋊Q8—798no—
1416C22⋊Q8—798no—
1417C22⋊Q8—798no—
1418C22⋊Q8—798no—
1419C22⋊Q8—798no—
1420C22⋊Q8—798no—
1421C22⋊Q8—798no—
1422C22⋊Q8—798no—
1423C22⋊Q8—798no—
1424C22⋊Q8—798no—
1425C22⋊Q8C22×D7918yes—
1426#121—798no—
1427#121—798no—
1428#121—798no—
1429#121—798no—
1430#121—798no—
1431#121—798no—
1432#121—798no—
1433#121—798no—
1434#121—798no—
1435#121—798no—
1436#121—798no—
1437#121—798no—
1438#121—798no—
1439#121—798no—
1440#121—798no—
1441#121—798no—
1442#121—798no—
1443#121—798no—
1444#121—798no—
1445#121—798no—
1446#121—798no—
1447#121—798no—
1448#121—798no—
1449#121—798no—
1450#121—798no—
1451#121—798no—
1452#121—798no—
1453#121—798no—
1454#121—798no—
1455#121C22×D7918yescomplemented
1456#121C22×D7918yescomplemented
1457#121C22×D7918yescomplemented
1458#120—798no—
1459#120—798no—
1460#120—798no—
1461#120—798no—
1462#120C22×D7918yes—
1463#120C22×D7918yes—
1464C4×Q8—798no—
1465C4×Q8—798no—
1466C4×D4—798no—
1467C4×D4—798no—
1468C4×D4—798no—
1469C4×D4—798no—
1470C4×D4—798no—
1471C4×D4—798no—
1472C4×D4—798no—
1473C4×D4—798no—
1474C4×D4—798no—
1475C4×D4—798no—
1476C4×D4—798no—
1477C4×D4—798no—
1478C4×D4C22×D7918yes—
1479C4×D4C22×D7918yescomplemented
1480#117—798no—
1481C2×C4⋊C4—791no—
1482C2×C4⋊C4—791no—
1483C2×C4⋊C4—791no—
1484C2×C4⋊C4—791no—
1485C2×C4⋊C4—791no—
1486C2×C4⋊C4—791no—
1487C2×C4⋊C4—798no—
1488C2×C4⋊C4—791no—
1489C2×C4⋊C4—791no—
1490C2×C4⋊C4—791no—
1491C2×C4⋊C4—791no—
1492C2×C4⋊C4—791no—
1493C2×C4⋊C4—791no—
1494C2×C4⋊C4—791no—
1495C2×C4⋊C4—791no—
1496C2×C4⋊C4—791no—
1497C2×C4⋊C4—791no—
1498C2×C4⋊C4—791no—
1499C2×C4⋊C4—791no—
1500C2×C4⋊C4—791no—
1501C2×C4⋊C4—798no—
1502C2×C4⋊C4—798no—
1503C2×C4⋊C4—798no—
1504C2×C4⋊C4—798no—
1505C2×C4⋊C4—791no—
1506C2×C4⋊C4—791no—
1507C2×C4⋊C4—791no—
1508C2×C4⋊C4—791no—
1509C2×C4⋊C4—791no—
1510C2×C4⋊C4—791no—
1511C2×C4⋊C4—791no—
1512C2×C4⋊C4—791no—
1513C2×C4⋊C4—791no—
1514C2×C4⋊C4—791no—
1515C2×C4⋊C4—791no—
1516C2×C4⋊C4—791no—
1517C2×C4⋊C4—791no—
1518C2×C4⋊C4—791no—
1519C2×C4⋊C4—791no—
1520C2×C4⋊C4—798no—
1521C2×C4⋊C4C22×D7911yescharacteristic
1522C2×C4⋊C4C22×D7911yescharacteristic
1523C2×C4⋊C4C22×D7911yescharacteristic
1524C2×C4⋊C4C22×D7911yescharacteristic
1525C2×C22⋊C4—791no—
1526C2×C22⋊C4—791no—
1527C2×C22⋊C4—791no—
1528C2×C22⋊C4—791no—
1529C2×C22⋊C4—791no—
1530C2×C22⋊C4—791no—
1531C2×C22⋊C4—791no—
1532C2×C22⋊C4—791no—
1533C2×C22⋊C4—791no—
1534C2×C22⋊C4—791no—
1535C2×C22⋊C4—791no—
1536C2×C22⋊C4—798no—
1537C2×C22⋊C4—798no—
1538C2×C22⋊C4—798no—
1539C2×C22⋊C4—791no—
1540C2×C22⋊C4—791no—
1541C2×C22⋊C4—791no—
1542C2×C22⋊C4—791no—
1543C2×C22⋊C4—791no—
1544C2×C22⋊C4—791no—
1545C2×C22⋊C4—791no—
1546C2×C22⋊C4—791no—
1547C2×C22⋊C4—791no—
1548C2×C22⋊C4—791no—
1549C2×C22⋊C4—791no—
1550C2×C22⋊C4—791no—
1551C2×C22⋊C4—791no—
1552C2×C22⋊C4—791no—
1553C2×C22⋊C4—791no—
1554C2×C22⋊C4—798no—
1555C2×C22⋊C4—791no—
1556C2×C22⋊C4—791no—
1557C2×C22⋊C4—791no—
1558C2×C22⋊C4—791no—
1559C2×C22⋊C4—791no—
1560C2×C22⋊C4—791no—
1561C2×C22⋊C4—791no—
1562C2×C22⋊C4—791no—
1563C2×C22⋊C4—798no—
1564C2×C22⋊C4—798no—
1565C2×C22⋊C4C22×D7911yescharacteristic
1566C2×C22⋊C4C22×D7911yescharacteristic
1567C2×C22⋊C4C22×D7911yescharacteristic
1568C2×C22⋊C4C22×D7911yescharacteristic
1569C2×C22⋊C4C22×D7911yescharacteristic
1570C2×C22⋊C4C22×D7911yescharacteristic
1571C2×C22⋊C4C22×D7911yescharacteristic
1572C2×C22⋊C4C22×D7918yes—
1573C2×C22⋊C4C22×D7918yes—
1574C2×C22⋊C4C22×D7911yescharacteristic
1575C2×C22⋊C4C22×D7911yescharacteristic
1576C2×C22⋊C4C22×D7911yescharacteristic
1577C2×C22⋊C4C22×D7911yescharacteristic
1578C2×C22⋊C4C22×D7911yescharacteristic
1579C2×C42—791no—
1580C2×C42—791no—
1581C2×C42—791no—
1582C2×C42—791no—
1583C2×C42—791no—
1584C2×C42C22×D7911yescharacteristic
1585C24—24no—
1586C24—24no—
1587C24—24no—
1588C24—42no—
1589C24—42no—
1590C24—42no—
1591C24—3162no—
1592C24—3162no—
1593C24—794no—
1594C24—791no—
1595C24—791no—
1596C24—791no—
1597C24—1584no—
1598C24C23×D7911yescharacteristic
1599C24C23×D7911yescharacteristic
1600C24C23×D7911yescharacteristic
1601C24C23×D7911yescharacteristic
1602C24C23×D7914yes—
1603C24C23×D7911yescharacteristic
1604C24C23×D7911yescharacteristic
1605C24C23×D7914yes—
1606#41—416no—
1607#41—31616no—
1608#41—31616no—
1609#41—31616no—
1610#41—31616no—
1611#41—31616no—
1612#41—31616no—
1613C2×Q8—42no—
1614C2×Q8—3162no—
1615C2×Q8—3162no—
1616C2×Q8—3162no—
1617C2×Q8—3162no—
1618C2×Q8—3162no—
1619C2×Q8—3162no—
1620C2×Q8—31616no—
1621C2×Q8—794no—
1622C2×Q8—794no—
1623C2×Q8—794no—
1624C2×Q8—794no—
1625C2×Q8—794no—
1626C2×Q8—794no—
1627C2×Q8—794no—
1628C2×Q8—794no—
1629C2×Q8—1584no—
1630C2×Q8—1584no—
1631C2×Q8C23×D7914yes—
1632C2×D4—24no—
1633C2×D4—24no—
1634C2×D4—24no—
1635C2×D4—24no—
1636C2×D4—42no—
1637C2×D4—42no—
1638C2×D4—42no—
1639C2×D4—42no—
1640C2×D4—42no—
1641C2×D4—416no—
1642C2×D4—3162no—
1643C2×D4—3162no—
1644C2×D4—31616no—
1645C2×D4—3162no—
1646C2×D4—3162no—
1647C2×D4—3162no—
1648C2×D4—3162no—
1649C2×D4—3162no—
1650C2×D4—3162no—
1651C2×D4—3162no—
1652C2×D4—3162no—
1653C2×D4—3162no—
1654C2×D4—3162no—
1655C2×D4—31616no—
1656C2×D4—794no—
1657C2×D4—794no—
1658C2×D4—794no—
1659C2×D4—794no—
1660C2×D4—794no—
1661C2×D4—794no—
1662C2×D4—794no—
1663C2×D4—794no—
1664C2×D4—794no—
1665C2×D4—794no—
1666C2×D4—794no—
1667C2×D4—794no—
1668C2×D4—794no—
1669C2×D4—794no—
1670C2×D4—794no—
1671C2×D4—794no—
1672C2×D4—794no—
1673C2×D4—794no—
1674C2×D4—1584no—
1675C2×D4—1584no—
1676C2×D4—1584no—
1677C2×D4—1584no—
1678C2×D4—1584no—
1679C2×D4—1584no—
1680C2×D4C23×D7914yes—
1681C2×D4C23×D7914yes—
1682C2×D4C23×D7914yes—
1683C2×D4C23×D7914yes—
1684C2×D4C23×D7914yes—
1685C2×D4C23×D7914yes—
1686C2×D4C23×D7914yes—
1687C2×D4C23×D7914yes—
1688C2×D4C23×D7914yes—
1689C22×C4—24no—
1690C22×C4—42no—
1691C22×C4—42no—
1692C22×C4—42no—
1693C22×C4—42no—
1694C22×C4—42no—
1695C22×C4—3162no—
1696C22×C4—3162no—
1697C22×C4—3162no—
1698C22×C4—3162no—
1699C22×C4—3162no—
1700C22×C4—3162no—
1701C22×C4—3162no—
1702C22×C4—3162no—
1703C22×C4—3162no—
1704C22×C4—3162no—
1705C22×C4—3162no—
1706C22×C4—3162no—
1707C22×C4—3162no—
1708C22×C4—3162no—
1709C22×C4—31616no—
1710C22×C4—794no—
1711C22×C4—794no—
1712C22×C4—794no—
1713C22×C4—794no—
1714C22×C4—794no—
1715C22×C4—794no—
1716C22×C4—794no—
1717C22×C4—794no—
1718C22×C4—794no—
1719C22×C4—794no—
1720C22×C4—794no—
1721C22×C4—794no—
1722C22×C4—794no—
1723C22×C4—794no—
1724C22×C4—791no—
1725C22×C4—794no—
1726C22×C4—794no—
1727C22×C4—794no—
1728C22×C4—794no—
1729C22×C4—794no—
1730C22×C4—791no—
1731C22×C4—791no—
1732C22×C4—791no—
1733C22×C4—791no—
1734C22×C4—791no—
1735C22×C4—791no—
1736C22×C4—791no—
1737C22×C4—791no—
1738C22×C4—791no—
1739C22×C4—791no—
1740C22×C4—791no—
1741C22×C4—791no—
1742C22×C4—794no—
1743C22×C4—1584no—
1744C22×C4—1584no—
1745C22×C4—1584no—
1746C22×C4—1584no—
1747C22×C4—1584no—
1748C22×C4—1584no—
1749C22×C4C23×D7914yes—
1750C22×C4C23×D7911yescharacteristic
1751C22×C4C23×D7911yescharacteristic
1752C22×C4C23×D7911yescharacteristic
1753C22×C4C23×D7911yescharacteristic
1754C22×C4C23×D7911yescharacteristic
1755C22×C4C23×D7911yescharacteristic
1756C22×C4C23×D7911yescharacteristic
1757C22×C4C23×D7911yescharacteristic
1758C22×C4C23×D7911yescharacteristic
1759C22×C4C23×D7914yes—
1760C22×C4C23×D7914yes—
1761C22×C4C23×D7914yes—
1762C22×C4C23×D7914yes—
1763C22×C4C23×D7914yes—
1764C4⋊C4—794no—
1765C4⋊C4—794no—
1766C4⋊C4—794no—
1767C4⋊C4—794no—
1768C4⋊C4—794no—
1769C4⋊C4—794no—
1770C4⋊C4—794no—
1771C4⋊C4—794no—
1772C4⋊C4—794no—
1773C4⋊C4—794no—
1774C4⋊C4—794no—
1775C4⋊C4—794no—
1776C4⋊C4—794no—
1777C4⋊C4—794no—
1778C4⋊C4—794no—
1779C4⋊C4—794no—
1780C4⋊C4—794no—
1781C4⋊C4—794no—
1782C4⋊C4—794no—
1783C4⋊C4—794no—
1784C4⋊C4—794no—
1785C4⋊C4—794no—
1786C4⋊C4—794no—
1787C4⋊C4—794no—
1788C4⋊C4—794no—
1789C4⋊C4—794no—
1790C4⋊C4—794no—
1791C4⋊C4—794no—
1792C4⋊C4—794no—
1793C4⋊C4—794no—
1794C4⋊C4—794no—
1795C4⋊C4—794no—
1796C4⋊C4—794no—
1797C4⋊C4—794no—
1798C4⋊C4C23×D7914yes—
1799C4⋊C4C23×D7914yes—
1800C4⋊C4C23×D7914yes—
1801C4⋊C4C23×D7914yes—
1802C22⋊C4—794no—
1803C22⋊C4—794no—
1804C22⋊C4—794no—
1805C22⋊C4—794no—
1806C22⋊C4—794no—
1807C22⋊C4—794no—
1808C22⋊C4—794no—
1809C22⋊C4—794no—
1810C22⋊C4—794no—
1811C22⋊C4—794no—
1812C22⋊C4—794no—
1813C22⋊C4—794no—
1814C22⋊C4—794no—
1815C22⋊C4—794no—
1816C22⋊C4—794no—
1817C22⋊C4—794no—
1818C22⋊C4—794no—
1819C22⋊C4—794no—
1820C22⋊C4—794no—
1821C22⋊C4—794no—
1822C22⋊C4—794no—
1823C22⋊C4—794no—
1824C22⋊C4—794no—
1825C22⋊C4—794no—
1826C22⋊C4—794no—
1827C22⋊C4—794no—
1828C22⋊C4—794no—
1829C22⋊C4—794no—
1830C22⋊C4—794no—
1831C22⋊C4—794no—
1832C22⋊C4—794no—
1833C22⋊C4—794no—
1834C22⋊C4—794no—
1835C22⋊C4—794no—
1836C22⋊C4C23×D7914yes—
1837C22⋊C4C23×D7914yes—
1838C22⋊C4C23×D7914yes—
1839C22⋊C4C23×D7914yes—
1840C22⋊C4C23×D7914yes—
1841C22⋊C4C23×D7914yes—
1842C22⋊C4C23×D7914yes—
1843C22⋊C4C23×D7914yes—
1844C22⋊C4C23×D7914yes—
1845C22⋊C4C23×D7914yes—
1846C22⋊C4C23×D7914yes—
1847C22⋊C4C23×D7914yes—
1848C42—794no—
1849C42—794no—
1850C42—794no—
1851C42—794no—
1852C42—794no—
1853C42C23×D7914yes—
1854C23—22no—
1855C23—22no—
1856C23—22no—
1857C23—22no—
1858C23—22no—
1859C23—22no—
1860C23—22no—
1861C23—22no—
1862C23—22no—
1863C23—22no—
1864C23—22no—
1865C23—28no—
1866C23—22no—
1867C23—22no—
1868C23—28no—
1869C23—22no—
1870C23—22no—
1871C23—22no—
1872C23—28no—
1873C23—44no—
1874C23—44no—
1875C23—44no—
1876C23—416no—
1877C23—88no—
1878C23—3164no—
1879C23—3164no—
1880C23—792no—
1881C23—792no—
1882C23—792no—
1883C23—6328no—
1884C23—1582no—
1885C23—1582no—
1886C23—1582no—
1887C23—1582no—
1888C23—1582no—
1889C23—1582no—
1890C23—1582no—
1891C23—1582no—
1892C23—1582no—
1893C23—1588no—
1894C23#1457920614yes—
1895C23#1457920814yes—
1896C23C24×D7912yes—
1897C23C24×D7912yes—
1898C23C24×D7912yes—
1899C23C24×D7912yes—
1900C23C24×D7912yes—
1901C23C24×D7912yes—
1902C23C24×D7911yescharacteristic
1903Q8—44no—
1904Q8—3164no—
1905Q8—3164no—
1906Q8—3164no—
1907Q8—3164no—
1908Q8—3164no—
1909Q8—3164no—
1910Q8—1588no—
1911Q8—1588no—
1912D4—28no—
1913D4—28no—
1914D4—28no—
1915D4—28no—
1916D4—44no—
1917D4—44no—
1918D4—44no—
1919D4—44no—
1920D4—44no—
1921D4—3164no—
1922D4—3164no—
1923D4—3164no—
1924D4—3164no—
1925D4—3164no—
1926D4—3164no—
1927D4—3164no—
1928D4—3164no—
1929D4—3164no—
1930D4—3164no—
1931D4—3164no—
1932D4—3164no—
1933D4—1588no—
1934D4—1588no—
1935D4—1588no—
1936D4—1588no—
1937D4—1588no—
1938D4—1588no—
1939C2×C4—22no—
1940C2×C4—22no—
1941C2×C4—22no—
1942C2×C4—22no—
1943C2×C4—22no—
1944C2×C4—28no—
1945C2×C4—22no—
1946C2×C4—22no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—44no—
1950C2×C4—44no—
1951C2×C4—44no—
1952C2×C4—44no—
1953C2×C4—44no—
1954C2×C4—3164no—
1955C2×C4—3164no—
1956C2×C4—3164no—
1957C2×C4—3164no—
1958C2×C4—3164no—
1959C2×C4—3164no—
1960C2×C4—3164no—
1961C2×C4—3164no—
1962C2×C4—3164no—
1963C2×C4—3164no—
1964C2×C4—3164no—
1965C2×C4—3164no—
1966C2×C4—3164no—
1967C2×C4—3164no—
1968C2×C4—794no—
1969C2×C4—792no—
1970C2×C4—792no—
1971C2×C4—792no—
1972C2×C4—792no—
1973C2×C4—792no—
1974C2×C4—792no—
1975C2×C4—792no—
1976C2×C4—792no—
1977C2×C4—792no—
1978C2×C4—792no—
1979C2×C4—792no—
1980C2×C4—792no—
1981C2×C4—792no—
1982C2×C4—1588no—
1983C2×C4—1588no—
1984C2×C4—1588no—
1985C2×C4—1588no—
1986C2×C4—1588no—
1987C2×C4—1582no—
1988C2×C4—1582no—
1989C2×C4—1582no—
1990C2×C4—1582no—
1991C2×C4—1582no—
1992C2×C4—1582no—
1993C2×C4—1582no—
1994C2×C4—1582no—
1995C2×C4—1582no—
1996C2×C4—1582no—
1997C2×C4—1582no—
1998C2×C4—1588no—
1999C2×C4—1582no—
2000C2×C4C24×D7912yes—
2001C2×C4C24×D7912yes—
2002C2×C4C24×D7912yes—
2003C2×C4C24×D7912yes—
2004C2×C4C24×D7912yes—
2005C2×C4C24×D7912yes—
2006C2×C4C24×D7912yes—
2007C2×C4C24×D7912yes—
2008C2×C4C24×D7912yes—
2009C22—28no—
2010C22—28no—
2011C22—22no—
2012C22—22no—
2013C22—22no—
2014C22—22no—
2015C22—22no—
2016C22—22no—
2017C22—22no—
2018C22—22no—
2019C22—22no—
2020C22—22no—
2021C22—22no—
2022C22—22no—
2023C22—22no—
2024C22—22no—
2025C22—22no—
2026C22—22no—
2027C22—416no—
2028C22—44no—
2029C22—44no—
2030C22—44no—
2031C22—44no—
2032C22—88no—
2033C22—3164no—
2034C22—3164no—
2035C22—3164no—
2036C22—6328no—
2037C22—1582no—
2038C22—1582no—
2039C22—1582no—
2040C22—1582no—
2041C22—1582no—
2042C22—1582no—
2043C22—1582no—
2044C22—1582no—
2045C22—1582no—
2046C22H(5,𝔽2)×D7912yes—
2047C22C2×#1457920614yes—
2048C22C2×#1457920612yes—
2049C22C2×#1457920814yes—
2050C22C2×#1457920812yes—
2051C22C25×D7911yescharacteristic
2052C4—22no—
2053C4—22no—
2054C4—22no—
2055C4—22no—
2056C4—22no—
2057C4—22no—
2058C4—22no—
2059C4—22no—
2060C4—22no—
2061C4—794no—
2062C4—1582no—
2063C4—1582no—
2064C4—1582no—
2065C4—1582no—
2066C4—1582no—
2067C4—1582no—
2068C4—1582no—
2069C4—1582no—
2070C4—1582no—
2071C4—1582no—
2072C4—1582no—
2073C4—1582no—
2074C2—24no—
2075C2—24no—
2076C2—42no—
2077C2—42no—
2078C2—42no—
2079C2—42no—
2080C2—3162no—
2081C2—3162no—
2082C2—3162no—
2083C2#2377761514yesdirect product factor
2084C2C2×H(5,𝔽2)×D7911yescharacteristic
2085C2C22×#1457920611yescharacteristic
2086C2C22×#1457920811yescharacteristic
subgroupG/H
centerC23C24×D79
commutator, cosocleC22×C79C26
FrattiniC22C25×D79
FittingC2×#546×C79C2
socleC23×C79C25
hypercenterC2×#546D79
hypocenterC79C2×#3536
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C23 ◁ C2×#546

Complements

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

NH ≅ G/Ntype
1. #23777615C2direct (N × H)
2. C2×#19099310C2semidirect
3. C2×#19099308C2semidirect
4. C2×#19099308C2semidirect
5. C2×#19099307C2semidirect
6. C2×#19099272C2semidirect
7. C2×#19099267C2semidirect
8. C2×#19099222C2semidirect
9. C2×#19099219C2semidirect
10. C2×#19099212C2semidirect
11. C2×#19099211C2semidirect
12. C2×#19099207C2semidirect
13. C2×#19099203C2semidirect
14. C2×#19099203C2semidirect
15. C2×#19099200C2semidirect
16. C2×#19099200C2semidirect
17. C2×#19099189C2semidirect
18. C2×#19099188C2semidirect
19. C2×#19099181C2semidirect
20. C2×#19099177C2semidirect
21. C2×#19099157C2semidirect
22. C2×#19099155C2semidirect
23. C2×#19099148C2semidirect
24. C2×#19099146C2semidirect
25. C2×#19099142C2semidirect
26. C2×#19099141C2semidirect
27. C2×#19099140C2semidirect
28. C2×#19099140C2semidirect
29. C2×#19099069C2semidirect
30. C22×#14579138C2semidirect
31. C22×#14579133C2semidirect
32. C2×#546×C79C2semidirect
33. C22×#11929624C22semidirect
34. C22×#11929624C22semidirect
35. C22×#11929623C22semidirect
36. C22×#11929623C22semidirect
37. C22×#11929623C22semidirect
38. C22×#11929623C22semidirect
39. C23×Dic158C22semidirect
43. #19099310C22semidirect
44. #19099308C22semidirect
45. #19099308C22semidirect
46. #19099307C22semidirect
47. #19099272C22semidirect
48. #19099267C22semidirect
49. #19099222C22semidirect
50. #19099219C22semidirect
51. #19099212C22semidirect
52. #19099211C22semidirect
53. #19099207C22semidirect
54. #19099203C22semidirect
55. #19099203C22semidirect
56. #19099200C22semidirect
57. #19099200C22semidirect
58. #19099189C22semidirect
59. #19099188C22semidirect
60. #19099181C22semidirect
61. #19099177C22semidirect
62. #19099157C22semidirect
63. #19099155C22semidirect
64. #19099148C22semidirect
65. #19099146C22semidirect
66. #19099142C22semidirect
67. #19099141C22semidirect
68. #19099140C22semidirect
69. #19099140C22semidirect
70. C2×#14579160C22semidirect
71. C2×#14579159C22semidirect
72. C2×#14579156C22semidirect
73. C2×#14579155C22semidirect
74. C2×#14579154C22semidirect
75. C2×#14579154C22semidirect
76. C2×#14579153C22semidirect
77. C2×#14579152C22semidirect
78. C2×#14579151C22semidirect
79. C2×#14579151C22semidirect
80. C2×#14579149C22semidirect
81. C2×#14579148C22semidirect
82. C2×#14579148C22semidirect
83. C2×#14579147C22semidirect
84. C2×#14579147C22semidirect
85. C2×#14579147C22semidirect
86. C2×#14579147C22semidirect
87. C2×#14579147C22semidirect
88. C2×#14579147C22semidirect
89. #19099069C22semidirect
90. C2×#14579146C22semidirect
91. C2×#14579145C22semidirect
92. C2×#14579145C22semidirect
93. C2×#14579145C22semidirect
94. C2×#14579144C22semidirect
95. C2×#14579144C22semidirect
96. C2×#14579144C22semidirect
97. C2×#14579143C22semidirect
98. C2×#14579143C22semidirect
99. C2×#14579143C22semidirect
100. C2×#14579143C22semidirect
101. C2×#14579143C22semidirect
102. C2×#14579142C22semidirect
103. C2×#14579142C22semidirect
104. C2×#14579142C22semidirect
105. C2×#14579142C22semidirect
106. C2×#14579141C22semidirect
107. C2×#14579141C22semidirect
109. C2×#14579140C22semidirect
110. C2×#14579140C22semidirect
111. C2×#14579140C22semidirect
112. C2×#14579140C22semidirect
113. C2×#14579140C22semidirect
114. C2×#14579139C22semidirect
115. C2×#14579139C22semidirect
116. C2×#14579139C22semidirect
117. C2×#14579139C22semidirect
118. C2×#14579139C22semidirect
119. C2×#14579139C22semidirect
127. C2×#14579138C22semidirect
128. C2×#14579138C22semidirect
129. C2×#14579138C22semidirect
130. C2×#14579138C22semidirect
131. C2×#14579138C22semidirect
132. C2×#14579138C22semidirect
133. C2×#14579138C22semidirect
134. C2×#14579138C22semidirect
135. C2×#14579138C22semidirect
136. C2×#14579138C22semidirect
137. C2×#14579138C22semidirect
138. C2×#14579138C22semidirect
139. C2×#14579137C22semidirect
140. C2×#14579137C22semidirect
141. C2×#14579137C22semidirect
142. C2×#14579135C22semidirect
143. C2×#14579135C22semidirect
144. C2×#14579135C22semidirect
145. C2×#14579134C22semidirect
146. C2×#14579134C22semidirect
147. C2×#14579134C22semidirect
148. C2×#14579134C22semidirect
149. C2×#14579134C22semidirect
159. C2×#14579133C22semidirect
160. C2×#14579133C22semidirect
161. C2×#14579133C22semidirect
162. C2×#14579133C22semidirect
163. C2×#14579133C22semidirect
164. C2×#14579133C22semidirect
165. C2×#14579133C22semidirect
166. C2×#14579133C22semidirect
167. C2×#14579133C22semidirect
168. C2×#14579132C22semidirect
169. C2×#14579132C22semidirect
170. C2×#14579132C22semidirect
171. C2×#14579132C22semidirect
176. C2×C4×Dic158C22semidirect
177. C2×#14579126C22semidirect
180. C2×D4×Dic79C22semidirect
181. C2×D4×Dic79C22semidirect
183. C2×C4×C22⋊D79C22semidirect
184. C2×C4×C22⋊D79C22semidirect
187. C2×(C22⋊D79)⋊C4C22semidirect
188. C2×(C22⋊D79)⋊C4C22semidirect
189. C2×(C22⋊D79)⋊C4C22semidirect
190. C2×#14579117C22semidirect
191. C22×C4⋊Dic79C22semidirect
193. C22×Dic79⋊C4C22semidirect
194. C22×Dic79⋊C4C22semidirect
195. C22×Dic79⋊C4C22semidirect
196. C2×C4⋊C4×D79C22semidirect
203. C22×#41×C79C22semidirect
205. #546×C79C22semidirect
206. C2×#124×C79C22semidirect
207. C2×#123×C79C22semidirect
208. C2×#123×C79C22semidirect
210. C2×#121×C79C22semidirect
211. C2×#121×C79C22semidirect
212. C2×#121×C79C22semidirect
216. C2×C4×D4×C79C22semidirect
222. C2×#11929624C23semidirect
223. C2×#11929624C23semidirect
228. C2×#11929623C23semidirect
229. C2×#11929623C23semidirect
230. C2×#11929623C23semidirect
231. C2×#11929623C23semidirect
241. C22×Dic158C23semidirect
286. #14579160C23semidirect
287. #14579159C23semidirect
288. #14579156C23semidirect
289. #14579155C23semidirect
290. #14579154C23semidirect
291. #14579154C23semidirect
292. #14579153C23semidirect
293. #14579152C23semidirect
294. #14579151C23semidirect
295. #14579151C23semidirect
296. #14579149C23semidirect
297. #14579148C23semidirect
298. #14579148C23semidirect
299. #14579147C23semidirect
300. #14579147C23semidirect
301. #14579147C23semidirect
302. #14579147C23semidirect
303. #14579147C23semidirect
304. #14579147C23semidirect
305. #14579146C23semidirect
306. #14579145C23semidirect
307. #14579145C23semidirect
308. #14579145C23semidirect
309. #14579144C23semidirect
310. #14579144C23semidirect
311. #14579144C23semidirect
312. #14579143C23semidirect
313. #14579143C23semidirect
314. #14579143C23semidirect
315. #14579143C23semidirect
316. #14579143C23semidirect
317. #14579142C23semidirect
318. #14579142C23semidirect
319. #14579142C23semidirect
320. #14579142C23semidirect
321. #14579141C23semidirect
322. #14579141C23semidirect
324. #14579140C23semidirect
325. #14579140C23semidirect
326. #14579140C23semidirect
327. #14579140C23semidirect
328. #14579140C23semidirect
329. #14579139C23semidirect
330. #14579139C23semidirect
331. #14579139C23semidirect
332. #14579139C23semidirect
333. #14579139C23semidirect
334. #14579139C23semidirect
342. #14579138C23semidirect
343. #14579138C23semidirect
344. #14579138C23semidirect
345. #14579138C23semidirect
346. #14579138C23semidirect
347. #14579138C23semidirect
348. #14579138C23semidirect
349. #14579138C23semidirect
350. #14579138C23semidirect
351. #14579138C23semidirect
352. #14579138C23semidirect
353. #14579137C23semidirect
354. #14579137C23semidirect
355. #14579137C23semidirect
356. #14579135C23semidirect
357. #14579135C23semidirect
358. #14579135C23semidirect
359. #14579134C23semidirect
360. #14579134C23semidirect
361. #14579134C23semidirect
362. #14579134C23semidirect
363. #14579134C23semidirect
373. #14579133C23semidirect
374. #14579133C23semidirect
375. #14579133C23semidirect
376. #14579133C23semidirect
377. #14579133C23semidirect
378. #14579133C23semidirect
379. #14579133C23semidirect
380. #14579133C23semidirect
381. #14579132C23semidirect
382. #14579132C23semidirect
383. #14579132C23semidirect
384. #14579132C23semidirect
389. C4×Dic158C23semidirect
390. #14579126C23semidirect
393. D4×Dic79C23semidirect
394. D4×Dic79C23semidirect
396. C4×C22⋊D79C23semidirect
397. C4×C22⋊D79C23semidirect
400. (C22⋊D79)⋊C4C23semidirect
401. (C22⋊D79)⋊C4C23semidirect
402. (C22⋊D79)⋊C4C23semidirect
403. #14579117C23semidirect
414. C2×C4⋊Dic79C23semidirect
440. C2×Dic79⋊C4C23semidirect
441. C2×Dic79⋊C4C23semidirect
442. C2×Dic79⋊C4C23semidirect
443. C4⋊C4×D79C23semidirect
492. C2×#41×C79C23semidirect
511. #124×C79C23semidirect
512. #123×C79C23semidirect
513. #123×C79C23semidirect
515. #121×C79C23semidirect
516. #121×C79C23semidirect
517. #121×C79C23semidirect
521. C4×D4×C79C23semidirect
1037. C2×C79#3536semidirect
1060. C2×#546D79semidirect
1076. C79C2×#3536semidirect
1083. C22×#41C2×D79semidirect
1104. #546C2×D79semidirect
1136. C2×#124C2×D79semidirect
1154. C2×#123C2×D79semidirect
1155. C2×#123C2×D79semidirect
1223. C2×#121C2×D79semidirect
1224. C2×#121C2×D79semidirect
1225. C2×#121C2×D79semidirect
1247. C2×C4×D4C2×D79semidirect
1279. C2×#41C22×D79semidirect
1371. #124C22×D79semidirect
1388. #123C22×D79semidirect
1389. #123C22×D79semidirect
1455. #121C22×D79semidirect
1456. #121C22×D79semidirect
1457. #121C22×D79semidirect
1479. C4×D4C22×D79semidirect
2083. C2#23777615direct (N × H)

Maximal subgroups

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

subgroupindex
#237776152
C2×#190993102
C2×#190993082
C2×#190993072
C2×#190992722
C2×#190992672
C2×#190992222
C2×#190992192
C2×#190992122
C2×#190992112
C2×#190992072
C2×#190992032
C2×#190992002
C2×#190991892
C2×#190991882
C2×#190991812
C2×#190991772
C2×#190991572
C2×#190991552
C2×#190991482
C2×#190991462
C2×#190991422
C2×#190991412
C2×#190991402
C2×#190990692
C22×#145791382
C22×#145791332
C2×#546×C792
C2×#353679