Finite Group Databasebeta

← C2×#23777596 #35195468

Subgroups — C2×#23777596 #35195468

Order 20224.

7302 conjugacy classes of subgroups.

The subgroup lattice has 1964 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777596C2132yesmaximal, direct product factor
2C2×#19099315C211yesmaximal, characteristic, complemented
3C2×#19099314C211yesmaximal, characteristic, complemented
4C2×#19099310C211yesmaximal, characteristic, complemented
5C2×#19099307C211yesmaximal, characteristic, complemented
6C2×#19099272C211yesmaximal, characteristic, complemented
7C2×#19099267C211yesmaximal, characteristic, complemented
8C2×#19099252C211yesmaximal, characteristic, complemented
9C2×#19099249C211yesmaximal, characteristic, complemented
10C2×#19099239C211yesmaximal, characteristic, complemented
11C2×#19099237C211yesmaximal, characteristic, complemented
12C2×#19099236C211yesmaximal, characteristic, complemented
13C2×#19099218C211yesmaximal, characteristic, complemented
14C2×#19099211C211yesmaximal, characteristic, complemented
15C2×#19099203C211yesmaximal, characteristic, complemented
16C2×#19099200C211yesmaximal, characteristic, complemented
17C2×#19099191C211yesmaximal, characteristic, complemented
18C2×#19099189C211yesmaximal, characteristic, complemented
19C2×#19099184C211yesmaximal, characteristic, complemented
20C2×#19099181C211yesmaximal, characteristic, complemented
21C2×#19099157C211yesmaximal, characteristic, complemented
22C2×#19099156C211yesmaximal, characteristic, complemented
23C2×#19099155C211yesmaximal, characteristic, complemented
24C2×#19099154C211yesmaximal, characteristic, complemented
25C2×#19099154C211yesmaximal, characteristic, complemented
26C2×#19099148C211yesmaximal, characteristic, complemented
27C2×#19099136C211yesmaximal, characteristic, complemented
28C2×#19099133C211yesmaximal, characteristic, complemented
29C2×#19099072C211yesmaximal, characteristic, complemented
30C22×#14579143C211yesmaximal, characteristic, complemented
31C2×C22⋊Q8×D79C211yesmaximal, characteristic, complemented
32C2×#551×C79C211yesmaximal, characteristic, complemented
33C22×#11929624C2211yescharacteristic
34C22×#11929624C2211yescharacteristic, complemented
35C22×#11929623C2211yescharacteristic
36C22×Q8×D79C2211yescharacteristic, complemented
37C23×C22⋊D79C2211yescharacteristic
38C23×C4×D79C2211yescharacteristic
39#19099315C22116yescomplemented
40#19099314C22116yescomplemented
41#19099310C22116yescomplemented
42#19099307C22116yescomplemented
43#19099272C22116yescomplemented
44#19099267C22116yescomplemented
45#19099252C22116yescomplemented
46#19099249C22116yescomplemented
47#19099239C22116yescomplemented
48#19099237C22116yescomplemented
49#19099236C22116yescomplemented
50#19099218C22116yescomplemented
51#19099211C22116yescomplemented
52#19099203C22116yescomplemented
53#19099200C22116yescomplemented
54#19099191C22116yescomplemented
55#19099189C22116yescomplemented
56#19099184C22116yescomplemented
57#19099181C22116yescomplemented
58#19099157C22116yescomplemented
59#19099156C22116yescomplemented
60#19099155C22116yescomplemented
61#19099154C22116yescomplemented
62#19099154C22116yescomplemented
63#19099148C22116yescomplemented
64#19099136C22116yescomplemented
65#19099133C22116yescomplemented
66C2×#14579161C2211yescharacteristic, complemented
67C2×#14579161C2211yescharacteristic, complemented
68C2×#14579160C2211yescharacteristic, complemented
69C2×#14579160C2211yescharacteristic, complemented
70C2×#14579160C2211yescharacteristic, complemented
71C2×#14579159C2211yescharacteristic, complemented
72C2×#14579156C2211yescharacteristic, complemented
73C2×#14579156C2211yescharacteristic, complemented
74C2×#14579156C2211yescharacteristic, complemented
75C2×#14579156C2211yescharacteristic, complemented
76C2×#14579155C2211yescharacteristic, complemented
77C2×#14579154C2211yescharacteristic, complemented
78C2×#14579154C2211yescharacteristic, complemented
79C2×#14579154C2211yescharacteristic, complemented
80C2×#14579154C2211yescharacteristic, complemented
81C2×#14579154C2211yescharacteristic, complemented
82C2×#14579153C2211yescharacteristic, complemented
83C2×#14579153C2211yescharacteristic, complemented
84C2×#14579153C2211yescharacteristic, complemented
85C2×#14579152C2211yescharacteristic, complemented
86C2×#14579152C2211yescharacteristic, complemented
87C2×#14579152C2211yescharacteristic, complemented
88C2×#14579152C2211yescharacteristic, complemented
89C2×#14579151C2211yescharacteristic, complemented
90C2×#14579151C2211yescharacteristic, complemented
91C2×#14579151C2211yescharacteristic, complemented
92C2×#14579149C2211yescharacteristic, complemented
93C2×#14579148C2211yescharacteristic, complemented
94C2×#14579147C2211yescharacteristic
95C2×#14579147C2211yescharacteristic
96C2×#14579147C2211yescharacteristic, complemented
97C2×#14579147C2211yescharacteristic, complemented
98C2×#14579147C2211yescharacteristic, complemented
99#19099072C22116yescomplemented
100C2×#14579146C2211yescharacteristic, complemented
101C2×#14579146C2211yescharacteristic, complemented
102C2×#14579146C2211yescharacteristic, complemented
103C2×#14579145C2211yescharacteristic
104C2×#14579145C2211yescharacteristic, complemented
105C2×#14579145C2211yescharacteristic, complemented
106C2×#14579145C2211yescharacteristic, complemented
107C2×#14579144C2211yescharacteristic
108C2×#14579144C2211yescharacteristic
109C2×#14579143C2211yescharacteristic
110C2×#14579143C2211yescharacteristic
111C2×#14579143C2211yescharacteristic
112C2×#14579143C2211yescharacteristic
113C2×#14579143C2211yescharacteristic
114C2×#14579143C2211yescharacteristic
115C2×#14579143C2211yescharacteristic
116C2×#14579143C2211yescharacteristic
117C2×#14579143C2211yescharacteristic
118C2×#14579143C2211yescharacteristic
119C2×#14579143C22116yescomplemented
120C2×#14579143C2211yescharacteristic, complemented
121C2×#14579143C2211yescharacteristic, complemented
122C2×#14579143C2211yescharacteristic, complemented
123C2×#14579143C2211yescharacteristic, complemented
124C2×#14579143C2211yescharacteristic, complemented
125C2×#14579142C2211yescharacteristic, complemented
126C2×#14579141C2211yescharacteristic, complemented
127C2×#14579141C2211yescharacteristic, complemented
128C2×#14579141C2211yescharacteristic, complemented
129C2×#14579140C2211yescharacteristic
130C2×#14579140C2211yescharacteristic, complemented
131C2×#14579140C2211yescharacteristic, complemented
132C2×#14579140C2211yescharacteristic, complemented
133C2×#14579140C2211yescharacteristic, complemented
134C2×#14579140C2211yescharacteristic, complemented
135C2×#14579139C2211yescharacteristic, complemented
136C2×#14579139C2211yescharacteristic, complemented
137C2×#14579139C2211yescharacteristic, complemented
138C2×#14579139C2211yescharacteristic, complemented
139C2×#14579139C2211yescharacteristic, complemented
140C2×#14579139C2211yescharacteristic, complemented
141C2×#14579138C2211yescharacteristic
142C2×#14579138C2211yescharacteristic
143C2×#14579138C2211yescharacteristic
144C2×#14579138C2211yescharacteristic
145C2×#14579138C2211yescharacteristic
146C2×#14579138C2211yescharacteristic
147C2×#14579138C2211yescharacteristic
148C2×#14579138C2211yescharacteristic, complemented
149C2×#14579138C2211yescharacteristic, complemented
150C2×#14579138C2211yescharacteristic, complemented
151C2×#14579138C2211yescharacteristic, complemented
152C2×#14579138C2211yescharacteristic, complemented
153C2×#14579138C2211yescharacteristic, complemented
154C2×#14579138C2211yescharacteristic, complemented
155C2×#14579138C2211yescharacteristic, complemented
156C2×#14579137C2211yescharacteristic, complemented
157C2×#14579137C2211yescharacteristic, complemented
158C22⋊Q8×D79C22116yescomplemented
159C2×#14579135C2211yescharacteristic
160C2×#14579134C2211yescharacteristic
161C2×#14579134C2211yescharacteristic
162C2×#14579134C2211yescharacteristic, complemented
163C2×#14579133C2211yescharacteristic
164C2×#14579133C2211yescharacteristic
165C2×#14579133C2211yescharacteristic
166C2×#14579133C2211yescharacteristic, complemented
167C2×#14579132C2211yescharacteristic
168C2×#14579132C2211yescharacteristic, complemented
169C2×#14579131C2211yescharacteristic
170C2×#14579130C2211yescharacteristic
171C2×#14579129C2211yescharacteristic
172C2×C4×Dic158C2211yescharacteristic, complemented
173C2×#14579126C2211yescharacteristic, complemented
174C2×C4×D316C2211yescharacteristic, complemented
175C2×C4×D316C2211yescharacteristic, complemented
176C2×D4×Dic79C2211yescharacteristic
177C2×D4×Dic79C2211yescharacteristic
178C2×C4×C22⋊D79C2211yescharacteristic
179C2×C4×C22⋊D79C2211yescharacteristic
180C2×C4×C22⋊D79C2211yescharacteristic, complemented
181C2×(C22⋊D79)⋊C4C2211yescharacteristic
182C2×(C22⋊D79)⋊C4C2211yescharacteristic
183C2×(C22⋊D79)⋊C4C2211yescharacteristic
184C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
185C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
186C2×#14579120C2211yescharacteristic
187C2×#14579119C2211yescharacteristic, complemented
188C2×#14579118C2211yescharacteristic, complemented
189C2×#14579118C2211yescharacteristic, complemented
190C2×#14579117C2211yescharacteristic, complemented
191C22×C4⋊Dic79C2211yescharacteristic
192C22×Dic79⋊C4C2211yescharacteristic
193C22×Dic79⋊C4C2211yescharacteristic, complemented
194C2×C4⋊C4×D79C2211yescharacteristic, complemented
195C2×C4⋊C4×D79C2211yescharacteristic, complemented
196C2×C4⋊C4×D79C2211yescharacteristic, complemented
197C2×C4⋊C4×D79C2211yescharacteristic, complemented
198C22×C22⋊Dic79C2211yescharacteristic
199C22×C22⋊Dic79C2211yescharacteristic
200C22×(C2×D79)⋊C4C2211yescharacteristic
201C2×C22⋊C4×D79C2211yescharacteristic
202C2×C22⋊C4×D79C2211yescharacteristic
203#551×C79C22116yescomplemented
204C2×#126×C79C2211yescharacteristic, complemented
205C2×#126×C79C2211yescharacteristic, complemented
206C2×#124×C79C2211yescharacteristic, complemented
207C2×#123×C79C2211yescharacteristic
208C2×#123×C79C2211yescharacteristic, complemented
209C2×#123×C79C2211yescharacteristic, complemented
210C2×C22⋊Q8×C79C2211yescharacteristic
211C2×C22⋊Q8×C79C2211yescharacteristic, complemented
212C2×#120×C79C2211yescharacteristic
213C2×C4×D4×C79C2211yescharacteristic
214C2×C4×D4×C79C2211yescharacteristic, complemented
215C2×#117×C79C2211yescharacteristic
216C2×#117×C79C2211yescharacteristic, complemented
217C22×C22⋊C4×C79C2211yescharacteristic
218C22×C22⋊C4×C79C2211yescharacteristic
219C24×D79C2311yescharacteristic
220C2×#11929624—44no—
221C2×#11929624—44no—
222C2×#11929624C2318yes—
223C2×#11929624C2318yescomplemented
224C2×#11929623—44no—
225C2×#11929623C2318yes—
226C22×Dic158C2311yescharacteristic
227C22×Dic158C2311yescharacteristic
228C22×Dic158C2311yescharacteristic
229C22×Dic158C2311yescharacteristic
230C22×Dic158C2311yescharacteristic
231C22×Dic158C2311yescharacteristic
232C22×Dic158C2311yescharacteristic
233C22×Dic158C2311yescharacteristic
234C2×Q8×D79—44no—
235C2×Q8×D79C2318yescomplemented
236C22×D316C2311yescharacteristic
237C22×D316C2311yescharacteristic
238C22×C22⋊D79—44no—
239C22×C22⋊D79C2311yescharacteristic
240C22×C22⋊D79C2311yescharacteristic
241C22×C22⋊D79C2311yescharacteristic
242C22×C22⋊D79C2311yescharacteristic
243C22×C22⋊D79C2318yes—
244C22×C22⋊D79C2311yescharacteristic
245C22×C22⋊D79C2311yescharacteristic
246C22×C22⋊D79C2311yescharacteristic
247C22×C22⋊D79C2311yescharacteristic
248C22×C22⋊D79C2311yescharacteristic
249C22×C22⋊D79C2311yescharacteristic
250C23×Dic79C2311yescharacteristic
251C23×Dic79C2311yescharacteristic
252C23×Dic79C2311yescharacteristic
253C23×Dic79C2311yescharacteristic
254C23×Dic79C2311yescharacteristic
255C23×Dic79C2311yescharacteristic
256C23×Dic79C2311yescharacteristic
257C22×C4×D79—44no—
258C22×C4×D79C2311yescharacteristic
259C22×C4×D79C2311yescharacteristic
260C22×C4×D79C2311yescharacteristic
261C22×C4×D79C2311yescharacteristic
262C22×C4×D79C2311yescharacteristic
263C22×C4×D79C2311yescharacteristic
264C22×C4×D79C2311yescharacteristic
265C22×C4×D79C2311yescharacteristic
266C22×C4×D79C2311yescharacteristic
267C22×C4×D79C2311yescharacteristic
268C22×C4×D79C2311yescharacteristic
269C22×C4×D79C2318yes—
270#14579161C2318yescomplemented
271#14579161C2318yescomplemented
272#14579160C2318yescomplemented
273#14579160C2318yescomplemented
274#14579160C2318yescomplemented
275#14579159C2318yescomplemented
276#14579156C2318yescomplemented
277#14579156C2318yescomplemented
278#14579156C2318yescomplemented
279#14579156C2318yescomplemented
280#14579155C2318yescomplemented
281#14579154C2318yescomplemented
282#14579154C2318yescomplemented
283#14579154C2318yescomplemented
284#14579154C2318yescomplemented
285#14579154C2318yescomplemented
286#14579153C2318yescomplemented
287#14579153C2318yescomplemented
288#14579153C2318yescomplemented
289#14579152C2318yescomplemented
290#14579152C2318yescomplemented
291#14579152C2318yescomplemented
292#14579152C2318yescomplemented
293#14579151C2318yescomplemented
294#14579151C2318yescomplemented
295#14579151C2318yescomplemented
296#14579149C2318yescomplemented
297#14579148C2318yescomplemented
298#14579147C2318yes—
299#14579147C2318yes—
300#14579147C2318yescomplemented
301#14579147C2318yescomplemented
302#14579147C2318yescomplemented
303#14579146C2318yescomplemented
304#14579146C2318yescomplemented
305#14579146C2318yescomplemented
306#14579145C2318yes—
307#14579145C2318yescomplemented
308#14579145C2318yescomplemented
309#14579145C2318yescomplemented
310#14579144C2318yes—
311#14579144C2318yes—
312#14579143C2318yes—
313#14579143C2318yes—
314#14579143C2318yes—
315#14579143C2318yes—
316#14579143C2318yes—
317#14579143C2318yes—
318#14579143C2318yes—
319#14579143C2318yes—
320#14579143C2318yes—
321#14579143C2318yes—
322#14579143C2318yescomplemented
323#14579143C2318yescomplemented
324#14579143C2318yescomplemented
325#14579143C2318yescomplemented
326#14579143C2318yescomplemented
327#14579142C2318yescomplemented
328#14579141C2318yescomplemented
329#14579141C2318yescomplemented
330#14579141C2318yescomplemented
331#14579140C2318yes—
332#14579140C2318yescomplemented
333#14579140C2318yescomplemented
334#14579140C2318yescomplemented
335#14579140C2318yescomplemented
336#14579140C2318yescomplemented
337#14579139C2318yescomplemented
338#14579139C2318yescomplemented
339#14579139C2318yescomplemented
340#14579139C2318yescomplemented
341#14579139C2318yescomplemented
342#14579139C2318yescomplemented
343#14579138C2318yes—
344#14579138C2318yes—
345#14579138C2318yes—
346#14579138C2318yes—
347#14579138C2318yes—
348#14579138C2318yes—
349#14579138C2318yes—
350#14579138C2318yescomplemented
351#14579138C2318yescomplemented
352#14579138C2318yescomplemented
353#14579138C2318yescomplemented
354#14579138C2318yescomplemented
355#14579138C2318yescomplemented
356#14579138C2318yescomplemented
357#14579138C2318yescomplemented
358#14579137C2318yescomplemented
359#14579137C2318yescomplemented
360#14579135C2318yes—
361#14579134C2318yes—
362#14579134C2318yes—
363#14579134C2318yescomplemented
364#14579133C2318yes—
365#14579133C2318yes—
366#14579133C2318yes—
367#14579133C2318yescomplemented
368#14579132C2318yes—
369#14579132C2318yescomplemented
370#14579131C2318yes—
371#14579130C2318yes—
372#14579129C2318yes—
373C4×Dic158C2318yescomplemented
374#14579126C2318yescomplemented
375C4×D316C2318yescomplemented
376C4×D316C2318yescomplemented
377D4×Dic79C2318yes—
378D4×Dic79C2318yes—
379C4×C22⋊D79C2318yes—
380C4×C22⋊D79C2318yes—
381C4×C22⋊D79C2318yescomplemented
382(C22⋊D79)⋊C4C2318yes—
383(C22⋊D79)⋊C4C2318yes—
384(C22⋊D79)⋊C4C2318yes—
385(C22⋊D79)⋊C4C2318yescomplemented
386(C22⋊D79)⋊C4C2318yescomplemented
387#14579120C2318yes—
388#14579119C2318yescomplemented
389#14579118C2318yescomplemented
390#14579118C2318yescomplemented
391#14579117C2318yescomplemented
392C2×C4⋊Dic79C2318yes—
393C2×C4⋊Dic79C2311yescharacteristic
394C2×C4⋊Dic79C2311yescharacteristic
395C2×C4⋊Dic79C2311yescharacteristic
396C2×C4⋊Dic79C2311yescharacteristic
397C2×C4⋊Dic79C2311yescharacteristic
398C2×C4⋊Dic79C2311yescharacteristic
399C2×C4⋊Dic79C2311yescharacteristic
400C2×C4⋊Dic79C2311yescharacteristic
401C2×C4⋊Dic79C2311yescharacteristic
402C2×C4⋊Dic79C2311yescharacteristic
403C2×C4⋊Dic79C2311yescharacteristic
404C2×C4⋊Dic79C2311yescharacteristic
405C2×C4⋊Dic79C2311yescharacteristic
406C2×C4⋊Dic79C2311yescharacteristic
407C2×C4⋊Dic79C2311yescharacteristic
408C2×C4⋊Dic79C2311yescharacteristic
409C2×Dic79⋊C4C2318yes—
410C2×Dic79⋊C4C2311yescharacteristic
411C2×Dic79⋊C4C2311yescharacteristic
412C2×Dic79⋊C4C2311yescharacteristic
413C2×Dic79⋊C4C2311yescharacteristic
414C2×Dic79⋊C4C2311yescharacteristic
415C2×Dic79⋊C4C2311yescharacteristic
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⋊C4C2318yescomplemented
437C4⋊C4×D79C2318yescomplemented
438C4⋊C4×D79C2318yescomplemented
439C4⋊C4×D79C2318yescomplemented
440C4⋊C4×D79C2318yescomplemented
441C2×C22⋊Dic79C2318yes—
442C2×C22⋊Dic79C2318yes—
443C2×C22⋊Dic79C2311yescharacteristic
444C2×C22⋊Dic79C2311yescharacteristic
445C2×C22⋊Dic79C2311yescharacteristic
446C2×C22⋊Dic79C2311yescharacteristic
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×(C2×D79)⋊C4C2318yes—
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
476C22⋊C4×D79C2318yes—
477C22⋊C4×D79C2318yes—
478C2×C4×Dic79C2311yescharacteristic
479C2×C4×Dic79C2311yescharacteristic
480C2×C4×Dic79C2311yescharacteristic
481C2×C4×Dic79C2311yescharacteristic
482C2×C4×Dic79C2311yescharacteristic
483C2×C4×Dic79C2311yescharacteristic
484C2×C4×Dic79C2311yescharacteristic
485C25×C79C2311yescharacteristic
486C22×Q8×C79C2311yescharacteristic
487C22×D4×C79C2311yescharacteristic
488C22×D4×C79C2311yescharacteristic
489C22×D4×C79C2311yescharacteristic
490C23×C4×C79C2311yescharacteristic
491C23×C4×C79C2311yescharacteristic
492C23×C4×C79C2311yescharacteristic
493C23×C4×C79C2311yescharacteristic
494C23×C4×C79C2311yescharacteristic
495#126×C79C2318yescomplemented
496#126×C79C2318yescomplemented
497#124×C79C2318yescomplemented
498#123×C79C2318yes—
499#123×C79C2318yescomplemented
500#123×C79C2318yescomplemented
501C22⋊Q8×C79C2318yes—
502C22⋊Q8×C79C2318yescomplemented
503#120×C79C2318yes—
504C4×D4×C79C2318yes—
505C4×D4×C79C2318yescomplemented
506#117×C79C2318yes—
507#117×C79C2318yescomplemented
508C2×C4⋊C4×C79C2311yescharacteristic
509C2×C4⋊C4×C79C2311yescharacteristic
510C2×C4⋊C4×C79C2311yescharacteristic
511C2×C4⋊C4×C79C2311yescharacteristic
512C2×C4⋊C4×C79C2311yescharacteristic
513C2×C4⋊C4×C79C2311yescharacteristic
514C2×C4⋊C4×C79C2311yescharacteristic
515C2×C4⋊C4×C79C2311yescharacteristic
516C2×C22⋊C4×C79C2318yes—
517C2×C22⋊C4×C79C2311yescharacteristic
518C2×C22⋊C4×C79C2311yescharacteristic
519C2×C22⋊C4×C79C2318yes—
520C2×C22⋊C4×C79C2311yescharacteristic
521C2×C22⋊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×C42×C79C2311yescharacteristic
533C2×C42×C79C2311yescharacteristic
534C2×C42×C79C2311yescharacteristic
535C23×D79—24no—
536C23×D79—24no—
537C23×D79—42no—
538C23×D79C2411yescharacteristic
539C23×D79C2411yescharacteristic
540C23×D79C2414yes—
541C23×D79C2411yescharacteristic
542#11929624—416no—
543#11929624—416no—
544#11929623—416no—
545C2×Dic158—42no—
546C2×Dic158—42no—
547C2×Dic158—42no—
548C2×Dic158—42no—
549C2×Dic158—42no—
550C2×Dic158—42no—
551C2×Dic158—42no—
552C2×Dic158—42no—
553C2×Dic158C2414yes—
554C2×Dic158C2414yes—
555C2×Dic158C2414yes—
556C2×Dic158C2414yes—
557C2×Dic158C2414yes—
558C2×Dic158C2414yes—
559C2×Dic158C2414yes—
560C2×Dic158C2414yes—
561Q8×D79—416no—
562C2×D316—24no—
563C2×D316—42no—
564C2×D316C2414yes—
565C2×D316C2414yes—
566C2×C22⋊D79—24no—
567C2×C22⋊D79—24no—
568C2×C22⋊D79—24no—
569C2×C22⋊D79—24no—
570C2×C22⋊D79—416no—
571C2×C22⋊D79—42no—
572C2×C22⋊D79—42no—
573C2×C22⋊D79—42no—
574C2×C22⋊D79—42no—
575C2×C22⋊D79—42no—
576C2×C22⋊D79—42no—
577C2×C22⋊D79C2414yes—
578C2×C22⋊D79C2414yes—
579C2×C22⋊D79C2414yes—
580C2×C22⋊D79C2414yes—
581C2×C22⋊D79C2414yes—
582C2×C22⋊D79C2414yes—
583C2×C22⋊D79C2414yes—
584C2×C22⋊D79C2414yes—
585C2×C22⋊D79C2414yes—
586C2×C22⋊D79C2414yes—
587C22×Dic79—42no—
588C22×Dic79—42no—
589C22×Dic79—42no—
590C22×Dic79—42no—
591C22×Dic79—42no—
592C22×Dic79—42no—
593C22×Dic79—42no—
594C22×Dic79C2411yescharacteristic
595C22×Dic79C2411yescharacteristic
596C22×Dic79C2411yescharacteristic
597C22×Dic79C2411yescharacteristic
598C22×Dic79C2411yescharacteristic
599C22×Dic79C2411yescharacteristic
600C22×Dic79C2411yescharacteristic
601C22×Dic79C2411yescharacteristic
602C22×Dic79C2411yescharacteristic
603C22×Dic79C2411yescharacteristic
604C22×Dic79C2411yescharacteristic
605C22×Dic79C2411yescharacteristic
606C22×Dic79C2411yescharacteristic
607C22×Dic79C2414yes—
608C22×Dic79C2414yes—
609C22×Dic79C2414yes—
610C22×Dic79C2414yes—
611C22×Dic79C2414yes—
612C22×Dic79C2414yes—
613C22×Dic79C2414yes—
614C2×C4×D79—24no—
615C2×C4×D79—24no—
616C2×C4×D79—24no—
617C2×C4×D79—24no—
618C2×C4×D79—42no—
619C2×C4×D79—42no—
620C2×C4×D79—42no—
621C2×C4×D79—42no—
622C2×C4×D79—42no—
623C2×C4×D79—42no—
624C2×C4×D79—42no—
625C2×C4×D79—416no—
626C2×C4×D79C2414yes—
627C2×C4×D79C2414yes—
628C2×C4×D79C2414yes—
629C2×C4×D79C2414yes—
630C2×C4×D79C2414yes—
631C2×C4×D79C2414yes—
632C2×C4×D79C2414yes—
633C2×C4×D79C2414yes—
634C2×C4×D79C2414yes—
635C2×C4×D79C2414yes—
636C2×C4×D79C2414yes—
637C4⋊Dic79C2414yes—
638C4⋊Dic79C2414yes—
639C4⋊Dic79C2414yes—
640C4⋊Dic79C2414yes—
641C4⋊Dic79C2414yes—
642C4⋊Dic79C2414yes—
643C4⋊Dic79C2414yes—
644C4⋊Dic79C2414yes—
645C4⋊Dic79C2414yes—
646C4⋊Dic79C2414yes—
647C4⋊Dic79C2414yes—
648C4⋊Dic79C2414yes—
649C4⋊Dic79C2414yes—
650C4⋊Dic79C2414yes—
651C4⋊Dic79C2414yes—
652C4⋊Dic79C2414yes—
653Dic79⋊C4C2414yes—
654Dic79⋊C4C2414yes—
655Dic79⋊C4C2414yes—
656Dic79⋊C4C2414yes—
657Dic79⋊C4C2414yes—
658Dic79⋊C4C2414yes—
659Dic79⋊C4C2414yes—
660Dic79⋊C4C2414yes—
661Dic79⋊C4C2414yes—
662Dic79⋊C4C2414yes—
663Dic79⋊C4C2414yes—
664Dic79⋊C4C2414yes—
665Dic79⋊C4C2414yes—
666Dic79⋊C4C2414yes—
667Dic79⋊C4C2414yes—
668Dic79⋊C4C2414yes—
669Dic79⋊C4C2414yes—
670Dic79⋊C4C2414yes—
671Dic79⋊C4C2414yes—
672Dic79⋊C4C2414yes—
673Dic79⋊C4C2414yes—
674Dic79⋊C4C2414yes—
675Dic79⋊C4C2414yes—
676Dic79⋊C4C2414yes—
677Dic79⋊C4C2414yes—
678Dic79⋊C4C2414yes—
679C22⋊Dic79C2414yes—
680C22⋊Dic79C2414yes—
681C22⋊Dic79C2414yes—
682C22⋊Dic79C2414yes—
683C22⋊Dic79C2414yes—
684C22⋊Dic79C2414yes—
685C22⋊Dic79C2414yes—
686C22⋊Dic79C2414yes—
687C22⋊Dic79C2414yes—
688C22⋊Dic79C2414yes—
689C22⋊Dic79C2414yes—
690C22⋊Dic79C2414yes—
691C22⋊Dic79C2414yes—
692C22⋊Dic79C2414yes—
693(C2×D79)⋊C4C2414yes—
694(C2×D79)⋊C4C2414yes—
695(C2×D79)⋊C4C2414yes—
696(C2×D79)⋊C4C2414yes—
697(C2×D79)⋊C4C2414yes—
698(C2×D79)⋊C4C2414yes—
699(C2×D79)⋊C4C2414yes—
700(C2×D79)⋊C4C2414yes—
701(C2×D79)⋊C4C2414yes—
702(C2×D79)⋊C4C2414yes—
703(C2×D79)⋊C4C2414yes—
704(C2×D79)⋊C4C2414yes—
705(C2×D79)⋊C4C2414yes—
706(C2×D79)⋊C4C2414yes—
707(C2×D79)⋊C4C2414yes—
708(C2×D79)⋊C4C2414yes—
709(C2×D79)⋊C4C2414yes—
710(C2×D79)⋊C4C2414yes—
711C4×Dic79C2414yes—
712C4×Dic79C2414yes—
713C4×Dic79C2414yes—
714C4×Dic79C2414yes—
715C4×Dic79C2414yes—
716C4×Dic79C2414yes—
717C4×Dic79C2414yes—
718C24×C79—24no—
719C24×C79—42no—
720C24×C79—42no—
721C24×C79C2411yescharacteristic
722C24×C79C2411yescharacteristic
723C24×C79C2411yescharacteristic
724C24×C79C2411yescharacteristic
725C24×C79C2414yes—
726C2×Q8×C79—42no—
727C2×Q8×C79C2414yes—
728C2×D4×C79—24no—
729C2×D4×C79—42no—
730C2×D4×C79—42no—
731C2×D4×C79C2414yes—
732C2×D4×C79C2414yes—
733C2×D4×C79C2414yes—
734C22×C4×C79—24no—
735C22×C4×C79—42no—
736C22×C4×C79—42no—
737C22×C4×C79—42no—
738C22×C4×C79—42no—
739C22×C4×C79C2411yescharacteristic
740C22×C4×C79C2411yescharacteristic
741C22×C4×C79C2411yescharacteristic
742C22×C4×C79C2411yescharacteristic
743C22×C4×C79C2411yescharacteristic
744C22×C4×C79C2411yescharacteristic
745C22×C4×C79C2411yescharacteristic
746C22×C4×C79C2411yescharacteristic
747C22×C4×C79C2411yescharacteristic
748C22×C4×C79C2411yescharacteristic
749C22×C4×C79C2411yescharacteristic
750C22×C4×C79C2414yes—
751C22×C4×C79C2414yes—
752C22×C4×C79C2414yes—
753C22×C4×C79C2414yes—
754C22×C4×C79C2414yes—
755C4⋊C4×C79C2414yes—
756C4⋊C4×C79C2414yes—
757C4⋊C4×C79C2414yes—
758C4⋊C4×C79C2414yes—
759C4⋊C4×C79C2414yes—
760C4⋊C4×C79C2414yes—
761C4⋊C4×C79C2414yes—
762C4⋊C4×C79C2414yes—
763C22⋊C4×C79C2414yes—
764C22⋊C4×C79C2414yes—
765C22⋊C4×C79C2414yes—
766C22⋊C4×C79C2414yes—
767C22⋊C4×C79C2414yes—
768C22⋊C4×C79C2414yes—
769C22⋊C4×C79C2414yes—
770C22⋊C4×C79C2414yes—
771C22⋊C4×C79C2414yes—
772C22⋊C4×C79C2414yes—
773C22⋊C4×C79C2414yes—
774C22⋊C4×C79C2414yes—
775C22⋊C4×C79C2414yes—
776C22⋊C4×C79C2414yes—
777C42×C79C2414yes—
778C42×C79C2414yes—
779C42×C79C2414yes—
780C23×C79—22no—
781C23×C79—22no—
782C23×C79—22no—
783C23×C79—22no—
784C23×C79—22no—
785C23×C79—22no—
786C23×C79—22no—
787C23×C79—22no—
788C23×C79—22no—
789C23×C79—22no—
790C23×C79—22no—
791C23×C79—28no—
792C23×C79—44no—
793C23×C79—44no—
794C23×C79—88no—
795C23×C792−1+414yes—
796C23×C79C2512yes—
797C23×C79C2512yes—
798C23×C79C2512yes—
799C23×C79C2512yes—
800C23×C79C2511yescharacteristic
801C22×D79—22no—
802C22×D79—22no—
803C22×D79—22no—
804C22×D79—22no—
805C22×D79—22no—
806C22×D79—28no—
807C22×D79—22no—
808C22×D79—22no—
809C22×D79—22no—
810C22×D79—28no—
811C22×D79—44no—
812C22×D79—416no—
813C22×D79H(5,𝔽2)14yes—
814C22×D79C2512yes—
815C22×D79C2512yes—
816C22×D79C2512yes—
817Q8×C79—44no—
818D4×C79—28no—
819D4×C79—44no—
820D4×C79—44no—
821C2×C4×C79—22no—
822C2×C4×C79—22no—
823C2×C4×C79—22no—
824C2×C4×C79—22no—
825C2×C4×C79—22no—
826C2×C4×C79—28no—
827C2×C4×C79—22no—
828C2×C4×C79—22no—
829C2×C4×C79—22no—
830C2×C4×C79—22no—
831C2×C4×C79—22no—
832C2×C4×C79—22no—
833C2×C4×C79—44no—
834C2×C4×C79—44no—
835C2×C4×C79—44no—
836C2×C4×C79—44no—
837C2×C4×C79C2512yes—
838C2×C4×C79C2512yes—
839C2×C4×C79C2512yes—
840C2×C4×C79C2512yes—
841C2×C4×C79C2512yes—
842C2×C4×C79C2512yes—
843C2×C4×C79C2512yes—
844C2×C4×C79C2512yes—
845C2×C4×C79C2512yes—
846C2×C4×C79C2512yes—
847C2×C4×C79C2512yes—
848C22⋊D79—28no—
849C22⋊D79—28no—
850C22⋊D79—28no—
851C22⋊D79—28no—
852C22⋊D79—44no—
853C22⋊D79—44no—
854C22⋊D79—44no—
855C22⋊D79—44no—
856C22⋊D79—44no—
857C22⋊D79—44no—
858C2×Dic79—22no—
859C2×Dic79—22no—
860C2×Dic79—22no—
861C2×Dic79—22no—
862C2×Dic79—22no—
863C2×Dic79—22no—
864C2×Dic79—22no—
865C2×Dic79—22no—
866C2×Dic79—22no—
867C2×Dic79—22no—
868C2×Dic79—22no—
869C2×Dic79—22no—
870C2×Dic79—22no—
871C2×Dic79—44no—
872C2×Dic79—44no—
873C2×Dic79—44no—
874C2×Dic79—44no—
875C2×Dic79—44no—
876C2×Dic79—44no—
877C2×Dic79—44no—
878C2×Dic79C2512yes—
879C2×Dic79C2512yes—
880C2×Dic79C2512yes—
881C2×Dic79C2512yes—
882C2×Dic79C2512yes—
883C2×Dic79C2512yes—
884C2×Dic79C2512yes—
885C2×Dic79C2512yes—
886C2×Dic79C2512yes—
887C2×Dic79C2512yes—
888C2×Dic79C2512yes—
889C2×Dic79C2512yes—
890C2×Dic79C2512yes—
891D316—28no—
892D316—44no—
893C4×D79—28no—
894C4×D79—28no—
895C4×D79—28no—
896C4×D79—28no—
897C4×D79—44no—
898C4×D79—44no—
899C4×D79—44no—
900C4×D79—44no—
901C4×D79—44no—
902C4×D79—44no—
903C4×D79—44no—
904Dic158—44no—
905Dic158—44no—
906Dic158—44no—
907Dic158—44no—
908Dic158—44no—
909Dic158—44no—
910Dic158—44no—
911Dic158—44no—
912C22×C79—22no—
913C22×C79—22no—
914C22×C79—28no—
915C22×C79—22no—
916C22×C79—22no—
917C22×C79—22no—
918C22×C79—22no—
919C22×C79—22no—
920C22×C79—22no—
921C22×C79—22no—
922C22×C79—22no—
923C22×C79—22no—
924C22×C79—44no—
925C22×C79—44no—
926C22×C79—44no—
927C22×C79—88no—
928C22×C79C2×H(5,𝔽2)12yes—
929C22×C79C2×2−1+414yes—
930C22×C79C2×2−1+412yes—
931C22×C79#58512yes—
932C22×C79C2611yescharacteristic
933C2×D79—22no—
934C2×D79—22no—
935C2×D79—28no—
936C2×D79—22no—
937C2×D79—22no—
938C2×D79—22no—
939C2×D79—22no—
940C2×D79—22no—
941C2×D79—22no—
942C2×D79—416no—
943C2×D79—44no—
944C2×D79—44no—
945C2×D79C2×H(5,𝔽2)14yes—
946C4×C79—22no—
947C4×C79—22no—
948C4×C79—22no—
949C4×C79—22no—
950C4×C79—22no—
951C4×C79—22no—
952C4×C79—22no—
953C4×C79—22no—
954C4×C79—22no—
955C4×C79—22no—
956C4×C79—22no—
957Dic79—22no—
958Dic79—22no—
959Dic79—22no—
960Dic79—22no—
961Dic79—22no—
962Dic79—22no—
963Dic79—22no—
964Dic79—22no—
965Dic79—22no—
966Dic79—22no—
967Dic79—22no—
968Dic79—22no—
969Dic79—22no—
970C2×#3535—791nomaximal, Sylow
971C2×C79—24no—
972C2×C79—42no—
973C2×C79—42no—
974C2×C79—42no—
975C2×C79#353514yescomplemented
976C2×C79C22×H(5,𝔽2)11yescharacteristic
977C2×C79C22×2−1+411yescharacteristic
978C2×C79C2×#58511yescharacteristic
979D79—24no—
980D79—42no—
981D79—42no—
982#3535—7932no—
983C2×#563—791no—
984C2×#563—791no—
985C2×#562—791no—
986C2×#562—791no—
987C2×#554—791no—
988C2×#554—791no—
989C2×#552—791no—
990C2×#552—791no—
991C2×#551—791no—
992C2×#551—791no—
993C2×#551—791no—
994C2×#551D7911yescharacteristic, complemented
995C2×#547—791no—
996C2×#547—791no—
997C2×#546—791no—
998C2×#546—791no—
999C2×#544—791no—
1000C2×#543—791no—
1001C2×#542—791no—
1002C2×#542—791no—
1003C2×#539—791no—
1004C2×#539—791no—
1005C2×#539—791no—
1006C2×#539—791no—
1007C2×#539—791no—
1008C2×#538—791no—
1009C2×#536—791no—
1010C2×#536—791no—
1011C2×#525—791no—
1012C22×#123—791no—
1013C22×C22⋊Q8—791no—
1014C79C2×#353511yescharacteristic, complemented, Sylow
1015C22×#41—791no—
1016C22×#41—791no—
1017C22×#41—791no—
1018C23×Q8—791no—
1019C23×D4—791no—
1020C24×C4—791no—
1021#563—7916no—
1022#563—7916no—
1023#562—7916no—
1024#562—7916no—
1025#554—7916no—
1026#554—7916no—
1027#552—7916no—
1028#552—7916no—
1029#551—7916no—
1030#551—7916no—
1031#551—7916no—
1032#551C2×D79116yescomplemented
1033#547—7916no—
1034#547—7916no—
1035#546—7916no—
1036#546—7916no—
1037#544—7916no—
1038#543—7916no—
1039#542—7916no—
1040#542—7916no—
1041#539—7916no—
1042#539—7916no—
1043#539—7916no—
1044#539—7916no—
1045#539—7916no—
1046#538—7916no—
1047#536—7916no—
1048#536—7916no—
1049C2×C4⋊Q8—791no—
1050C2×C4⋊Q8—791no—
1051C2×C4⋊Q8—791no—
1052C2×C4⋊Q8—791no—
1053C2×C4⋊Q8—791no—
1054C2×C4⋊Q8—791no—
1055C2×#126—791no—
1056C2×#126—791no—
1057C2×#126—791no—
1058C2×#126—791no—
1059C2×#126—791no—
1060C2×#126—791no—
1061C2×#126—791no—
1062C2×#126—791no—
1063C2×#126—791no—
1064C2×#126—791no—
1065C2×#126C2×D7911yescharacteristic, complemented
1066C2×#126C2×D7911yescharacteristic, complemented
1067C2×#125—791no—
1068C2×#125—791no—
1069C2×#125—791no—
1070C2×#125—791no—
1071C2×#125—791no—
1072C2×#125—791no—
1073C2×#125—791no—
1074C2×#125—791no—
1075C2×#125—791no—
1076C2×#125—791no—
1077C2×#124—791no—
1078C2×#124—791no—
1079C2×#124—791no—
1080C2×#124—791no—
1081C2×#124—791no—
1082C2×#124—791no—
1083C2×#124—791no—
1084C2×#124C2×D7911yescharacteristic, complemented
1085#525—7916no—
1086C2×#123—791no—
1087C2×#123—791no—
1088C2×#123—791no—
1089C2×#123—791no—
1090C2×#123—791no—
1091C2×#123—791no—
1092C2×#123—791no—
1093C2×#123—791no—
1094C2×#123—791no—
1095C2×#123—791no—
1096C2×#123—791no—
1097C2×#123—791no—
1098C2×#123—791no—
1099C2×#123—791no—
1100C2×#123—7916no—
1101C2×#123—791no—
1102C2×#123—791no—
1103C2×#123—791no—
1104C2×#123—791no—
1105C2×#123—791no—
1106C2×#123—791no—
1107C2×#123—791no—
1108C2×#123—791no—
1109C2×#123—791no—
1110C2×#123—791no—
1111C2×#123—791no—
1112C2×#123C2×D7911yescharacteristic
1113C2×#123C2×D7911yescharacteristic, complemented
1114C2×#123C2×D7911yescharacteristic, complemented
1115C2×C22⋊Q8—791no—
1116C2×C22⋊Q8—791no—
1117C2×C22⋊Q8—791no—
1118C2×C22⋊Q8—791no—
1119C2×C22⋊Q8—791no—
1120C2×C22⋊Q8—791no—
1121C2×C22⋊Q8—791no—
1122C2×C22⋊Q8—791no—
1123C2×C22⋊Q8—7916no—
1124C2×C22⋊Q8—791no—
1125C2×C22⋊Q8—791no—
1126C2×C22⋊Q8—791no—
1127C2×C22⋊Q8—791no—
1128C2×C22⋊Q8—791no—
1129C2×C22⋊Q8—791no—
1130C2×C22⋊Q8—791no—
1131C2×C22⋊Q8—791no—
1132C2×C22⋊Q8—791no—
1133C2×C22⋊Q8—791no—
1134C2×C22⋊Q8—791no—
1135C2×C22⋊Q8—791no—
1136C2×C22⋊Q8—791no—
1137C2×C22⋊Q8—791no—
1138C2×C22⋊Q8—791no—
1139C2×C22⋊Q8—791no—
1140C2×C22⋊Q8—791no—
1141C2×C22⋊Q8—791no—
1142C2×C22⋊Q8—791no—
1143C2×C22⋊Q8—791no—
1144C2×C22⋊Q8—791no—
1145C2×C22⋊Q8—791no—
1146C2×C22⋊Q8—791no—
1147C2×C22⋊Q8—791no—
1148C2×C22⋊Q8C2×D7911yescharacteristic
1149C2×C22⋊Q8C2×D7911yescharacteristic, complemented
1150C2×#121—791no—
1151C2×#121—791no—
1152C2×#121—791no—
1153C2×#121—791no—
1154C2×#121—791no—
1155C2×#121—791no—
1156C2×#121—791no—
1157C2×#121—791no—
1158C2×#121—791no—
1159C2×#121—791no—
1160C2×#120—791no—
1161C2×#120—791no—
1162C2×#120—791no—
1163C2×#120C2×D7911yescharacteristic
1164C2×C4×Q8—791no—
1165C2×C4×Q8—791no—
1166C2×C4×D4—791no—
1167C2×C4×D4—791no—
1168C2×C4×D4—791no—
1169C2×C4×D4—791no—
1170C2×C4×D4—791no—
1171C2×C4×D4—791no—
1172C2×C4×D4—791no—
1173C2×C4×D4—791no—
1174C2×C4×D4—791no—
1175C2×C4×D4—791no—
1176C2×C4×D4—791no—
1177C2×C4×D4—791no—
1178C2×C4×D4C2×D7911yescharacteristic
1179C2×C4×D4C2×D7911yescharacteristic, complemented
1180C2×#117—791no—
1181C2×#117—791no—
1182C2×#117—791no—
1183C2×#117—791no—
1184C2×#117—791no—
1185C2×#117C2×D7911yescharacteristic
1186C2×#117C2×D7911yescharacteristic, complemented
1187C22×C4⋊C4—791no—
1188C22×C4⋊C4—791no—
1189C22×C4⋊C4—791no—
1190C22×C4⋊C4—791no—
1191C22×C4⋊C4—791no—
1192C22×C4⋊C4—791no—
1193C22×C4⋊C4—791no—
1194C22×C22⋊C4—791no—
1195C22×C22⋊C4—791no—
1196C22×C22⋊C4—791no—
1197C22×C22⋊C4—791no—
1198C22×C22⋊C4—791no—
1199C22×C22⋊C4C2×D7911yescharacteristic
1200C22×C22⋊C4C2×D7911yescharacteristic
1201C25—791no—
1202C25C22×D7911yescharacteristic
1203C2×#41—3164no—
1204C2×#41—3164no—
1205C2×#41—3164no—
1206C2×#41—798no—
1207C2×#41—798no—
1208C2×#41—798no—
1209C22×Q8—3164no—
1210C22×Q8—798no—
1211C22×Q8—791no—
1212C22×Q8—791no—
1213C22×Q8—791no—
1214C22×Q8—791no—
1215C22×Q8—791no—
1216C22×Q8—791no—
1217C22×Q8—791no—
1218C22×Q8—791no—
1219C22×Q8C22×D7911yescharacteristic
1220C22×D4—3164no—
1221C22×D4—791no—
1222C22×D4—791no—
1223C22×D4—791no—
1224C22×D4—791no—
1225C22×D4—791no—
1226C22×D4—791no—
1227C22×D4—798no—
1228C22×D4—791no—
1229C22×D4—791no—
1230C22×D4—791no—
1231C22×D4—791no—
1232C22×D4—791no—
1233C22×D4—791no—
1234C22×D4C22×D7911yescharacteristic
1235C22×D4C22×D7911yescharacteristic
1236C22×D4C22×D7911yescharacteristic
1237C23×C4—3164no—
1238C23×C4—791no—
1239C23×C4—791no—
1240C23×C4—791no—
1241C23×C4—791no—
1242C23×C4—791no—
1243C23×C4—791no—
1244C23×C4—791no—
1245C23×C4—791no—
1246C23×C4—791no—
1247C23×C4—791no—
1248C23×C4—791no—
1249C23×C4—791no—
1250C23×C4—791no—
1251C23×C4—791no—
1252C23×C4—798no—
1253C23×C4—791no—
1254C23×C4—791no—
1255C23×C4—791no—
1256C23×C4—791no—
1257C23×C4C22×D7911yescharacteristic
1258C23×C4C22×D7911yescharacteristic
1259C23×C4C22×D7911yescharacteristic
1260C23×C4C22×D7911yescharacteristic
1261C23×C4C22×D7911yescharacteristic
1262C4⋊Q8—798no—
1263C4⋊Q8—798no—
1264C4⋊Q8—798no—
1265C4⋊Q8—798no—
1266C4⋊Q8—798no—
1267C4⋊Q8—798no—
1268#126—798no—
1269#126—798no—
1270#126—798no—
1271#126—798no—
1272#126—798no—
1273#126—798no—
1274#126—798no—
1275#126—798no—
1276#126—798no—
1277#126—798no—
1278#126C22×D7918yescomplemented
1279#126C22×D7918yescomplemented
1280#125—798no—
1281#125—798no—
1282#125—798no—
1283#125—798no—
1284#125—798no—
1285#125—798no—
1286#125—798no—
1287#125—798no—
1288#125—798no—
1289#125—798no—
1290#124—798no—
1291#124—798no—
1292#124—798no—
1293#124—798no—
1294#124—798no—
1295#124—798no—
1296#124—798no—
1297#124C22×D7918yescomplemented
1298#123—798no—
1299#123—798no—
1300#123—798no—
1301#123—798no—
1302#123—798no—
1303#123—798no—
1304#123—798no—
1305#123—798no—
1306#123—798no—
1307#123—798no—
1308#123—798no—
1309#123—798no—
1310#123—798no—
1311#123—798no—
1312#123—798no—
1313#123—798no—
1314#123—798no—
1315#123—798no—
1316#123—798no—
1317#123—798no—
1318#123—798no—
1319#123—798no—
1320#123—798no—
1321#123—798no—
1322#123—798no—
1323#123C22×D7918yes—
1324#123C22×D7918yescomplemented
1325#123C22×D7918yescomplemented
1326C22⋊Q8—798no—
1327C22⋊Q8—798no—
1328C22⋊Q8—798no—
1329C22⋊Q8—798no—
1330C22⋊Q8—798no—
1331C22⋊Q8—798no—
1332C22⋊Q8—798no—
1333C22⋊Q8—798no—
1334C22⋊Q8—798no—
1335C22⋊Q8—798no—
1336C22⋊Q8—798no—
1337C22⋊Q8—798no—
1338C22⋊Q8—798no—
1339C22⋊Q8—798no—
1340C22⋊Q8—798no—
1341C22⋊Q8—798no—
1342C22⋊Q8—798no—
1343C22⋊Q8—798no—
1344C22⋊Q8—798no—
1345C22⋊Q8—798no—
1346C22⋊Q8—798no—
1347C22⋊Q8—798no—
1348C22⋊Q8—798no—
1349C22⋊Q8—798no—
1350C22⋊Q8—798no—
1351C22⋊Q8—798no—
1352C22⋊Q8—798no—
1353C22⋊Q8—798no—
1354C22⋊Q8—798no—
1355C22⋊Q8—798no—
1356C22⋊Q8—798no—
1357C22⋊Q8—798no—
1358C22⋊Q8C22×D7918yes—
1359C22⋊Q8C22×D7918yescomplemented
1360#121—798no—
1361#121—798no—
1362#121—798no—
1363#121—798no—
1364#121—798no—
1365#121—798no—
1366#121—798no—
1367#121—798no—
1368#121—798no—
1369#121—798no—
1370#120—798no—
1371#120—798no—
1372#120—798no—
1373#120C22×D7918yes—
1374C4×Q8—798no—
1375C4×Q8—798no—
1376C4×D4—798no—
1377C4×D4—798no—
1378C4×D4—798no—
1379C4×D4—798no—
1380C4×D4—798no—
1381C4×D4—798no—
1382C4×D4—798no—
1383C4×D4—798no—
1384C4×D4—798no—
1385C4×D4—798no—
1386C4×D4—798no—
1387C4×D4—798no—
1388C4×D4C22×D7918yes—
1389C4×D4C22×D7918yescomplemented
1390#117—798no—
1391#117—798no—
1392#117—798no—
1393#117—798no—
1394#117—798no—
1395#117C22×D7918yes—
1396#117C22×D7918yescomplemented
1397C2×C4⋊C4—791no—
1398C2×C4⋊C4—791no—
1399C2×C4⋊C4—791no—
1400C2×C4⋊C4—791no—
1401C2×C4⋊C4—791no—
1402C2×C4⋊C4—791no—
1403C2×C4⋊C4—791no—
1404C2×C4⋊C4—791no—
1405C2×C4⋊C4—791no—
1406C2×C4⋊C4—791no—
1407C2×C4⋊C4—791no—
1408C2×C4⋊C4—791no—
1409C2×C4⋊C4—791no—
1410C2×C4⋊C4—791no—
1411C2×C4⋊C4—791no—
1412C2×C4⋊C4—791no—
1413C2×C4⋊C4—791no—
1414C2×C4⋊C4—791no—
1415C2×C4⋊C4—791no—
1416C2×C4⋊C4—791no—
1417C2×C4⋊C4—791no—
1418C2×C4⋊C4—798no—
1419C2×C4⋊C4—798no—
1420C2×C4⋊C4—798no—
1421C2×C4⋊C4—791no—
1422C2×C4⋊C4—791no—
1423C2×C4⋊C4—791no—
1424C2×C4⋊C4—791no—
1425C2×C4⋊C4—791no—
1426C2×C4⋊C4—791no—
1427C2×C4⋊C4—791no—
1428C2×C4⋊C4—791no—
1429C2×C4⋊C4—791no—
1430C2×C4⋊C4—791no—
1431C2×C4⋊C4—791no—
1432C2×C4⋊C4—791no—
1433C2×C4⋊C4—791no—
1434C2×C4⋊C4—791no—
1435C2×C4⋊C4—791no—
1436C2×C4⋊C4—791no—
1437C2×C4⋊C4—791no—
1438C2×C4⋊C4—791no—
1439C2×C4⋊C4—791no—
1440C2×C4⋊C4—791no—
1441C2×C4⋊C4—791no—
1442C2×C4⋊C4—798no—
1443C2×C4⋊C4—798no—
1444C2×C4⋊C4—798no—
1445C2×C4⋊C4—798no—
1446C2×C4⋊C4C22×D7911yescharacteristic
1447C2×C4⋊C4C22×D7911yescharacteristic
1448C2×C4⋊C4C22×D7911yescharacteristic
1449C2×C4⋊C4C22×D7911yescharacteristic
1450C2×C4⋊C4C22×D7911yescharacteristic
1451C2×C4⋊C4C22×D7911yescharacteristic
1452C2×C4⋊C4C22×D7911yescharacteristic
1453C2×C4⋊C4C22×D7911yescharacteristic
1454C2×C22⋊C4—791no—
1455C2×C22⋊C4—791no—
1456C2×C22⋊C4—791no—
1457C2×C22⋊C4—791no—
1458C2×C22⋊C4—791no—
1459C2×C22⋊C4—791no—
1460C2×C22⋊C4—791no—
1461C2×C22⋊C4—791no—
1462C2×C22⋊C4—791no—
1463C2×C22⋊C4—798no—
1464C2×C22⋊C4—798no—
1465C2×C22⋊C4—791no—
1466C2×C22⋊C4—791no—
1467C2×C22⋊C4—791no—
1468C2×C22⋊C4—791no—
1469C2×C22⋊C4—791no—
1470C2×C22⋊C4—791no—
1471C2×C22⋊C4—791no—
1472C2×C22⋊C4—791no—
1473C2×C22⋊C4—791no—
1474C2×C22⋊C4—791no—
1475C2×C22⋊C4—791no—
1476C2×C22⋊C4—791no—
1477C2×C22⋊C4—791no—
1478C2×C22⋊C4—798no—
1479C2×C22⋊C4—791no—
1480C2×C22⋊C4—791no—
1481C2×C22⋊C4—791no—
1482C2×C22⋊C4—791no—
1483C2×C22⋊C4—791no—
1484C2×C22⋊C4—791no—
1485C2×C22⋊C4—791no—
1486C2×C22⋊C4—791no—
1487C2×C22⋊C4—791no—
1488C2×C22⋊C4—791no—
1489C2×C22⋊C4—798no—
1490C2×C22⋊C4—798no—
1491C2×C22⋊C4C22×D7911yescharacteristic
1492C2×C22⋊C4C22×D7911yescharacteristic
1493C2×C22⋊C4C22×D7911yescharacteristic
1494C2×C22⋊C4C22×D7911yescharacteristic
1495C2×C22⋊C4C22×D7911yescharacteristic
1496C2×C22⋊C4C22×D7911yescharacteristic
1497C2×C22⋊C4C22×D7911yescharacteristic
1498C2×C22⋊C4C22×D7911yescharacteristic
1499C2×C22⋊C4C22×D7911yescharacteristic
1500C2×C22⋊C4C22×D7918yes—
1501C2×C22⋊C4C22×D7918yes—
1502C2×C22⋊C4C22×D7911yescharacteristic
1503C2×C22⋊C4C22×D7911yescharacteristic
1504C2×C22⋊C4C22×D7911yescharacteristic
1505C2×C22⋊C4C22×D7911yescharacteristic
1506C2×C22⋊C4C22×D7911yescharacteristic
1507C2×C42—791no—
1508C2×C42—791no—
1509C2×C42—791no—
1510C2×C42—791no—
1511C2×C42—791no—
1512C2×C42—791no—
1513C2×C42—791no—
1514C2×C42C22×D7911yescharacteristic
1515C2×C42C22×D7911yescharacteristic
1516C2×C42C22×D7911yescharacteristic
1517C24—24no—
1518C24—42no—
1519C24—42no—
1520C24—3162no—
1521C24—794no—
1522C24—791no—
1523C24—791no—
1524C24—791no—
1525C24—1584no—
1526C24—1584no—
1527C24C23×D7911yescharacteristic
1528C24C23×D7911yescharacteristic
1529C24C23×D7911yescharacteristic
1530C24C23×D7911yescharacteristic
1531C24C23×D7914yes—
1532#41—31616no—
1533#41—31616no—
1534#41—31616no—
1535C2×Q8—42no—
1536C2×Q8—3162no—
1537C2×Q8—3162no—
1538C2×Q8—3162no—
1539C2×Q8—3162no—
1540C2×Q8—3162no—
1541C2×Q8—3162no—
1542C2×Q8—3162no—
1543C2×Q8—3162no—
1544C2×Q8—31616no—
1545C2×Q8—794no—
1546C2×Q8—794no—
1547C2×Q8—794no—
1548C2×Q8—794no—
1549C2×Q8—794no—
1550C2×Q8—794no—
1551C2×Q8—794no—
1552C2×Q8—794no—
1553C2×Q8C23×D7914yes—
1554C2×D4—24no—
1555C2×D4—42no—
1556C2×D4—42no—
1557C2×D4—3162no—
1558C2×D4—31616no—
1559C2×D4—3162no—
1560C2×D4—3162no—
1561C2×D4—3162no—
1562C2×D4—3162no—
1563C2×D4—3162no—
1564C2×D4—3162no—
1565C2×D4—794no—
1566C2×D4—794no—
1567C2×D4—794no—
1568C2×D4—794no—
1569C2×D4—794no—
1570C2×D4—794no—
1571C2×D4—794no—
1572C2×D4—794no—
1573C2×D4—794no—
1574C2×D4—794no—
1575C2×D4—794no—
1576C2×D4—794no—
1577C2×D4—1584no—
1578C2×D4—1584no—
1579C2×D4—1584no—
1580C2×D4—1584no—
1581C2×D4—1584no—
1582C2×D4C23×D7914yes—
1583C2×D4C23×D7914yes—
1584C2×D4C23×D7914yes—
1585C22×C4—24no—
1586C22×C4—42no—
1587C22×C4—42no—
1588C22×C4—42no—
1589C22×C4—42no—
1590C22×C4—3162no—
1591C22×C4—3162no—
1592C22×C4—3162no—
1593C22×C4—3162no—
1594C22×C4—3162no—
1595C22×C4—3162no—
1596C22×C4—3162no—
1597C22×C4—31616no—
1598C22×C4—3162no—
1599C22×C4—3162no—
1600C22×C4—3162no—
1601C22×C4—3162no—
1602C22×C4—3162no—
1603C22×C4—3162no—
1604C22×C4—3162no—
1605C22×C4—794no—
1606C22×C4—794no—
1607C22×C4—794no—
1608C22×C4—794no—
1609C22×C4—794no—
1610C22×C4—794no—
1611C22×C4—794no—
1612C22×C4—794no—
1613C22×C4—794no—
1614C22×C4—794no—
1615C22×C4—794no—
1616C22×C4—794no—
1617C22×C4—794no—
1618C22×C4—794no—
1619C22×C4—791no—
1620C22×C4—791no—
1621C22×C4—791no—
1622C22×C4—791no—
1623C22×C4—791no—
1624C22×C4—791no—
1625C22×C4—791no—
1626C22×C4—791no—
1627C22×C4—791no—
1628C22×C4—791no—
1629C22×C4—791no—
1630C22×C4—791no—
1631C22×C4—791no—
1632C22×C4—794no—
1633C22×C4—794no—
1634C22×C4—794no—
1635C22×C4—794no—
1636C22×C4—1584no—
1637C22×C4—1584no—
1638C22×C4—1584no—
1639C22×C4—1584no—
1640C22×C4C23×D7914yes—
1641C22×C4C23×D7911yescharacteristic
1642C22×C4C23×D7911yescharacteristic
1643C22×C4C23×D7911yescharacteristic
1644C22×C4C23×D7911yescharacteristic
1645C22×C4C23×D7911yescharacteristic
1646C22×C4C23×D7911yescharacteristic
1647C22×C4C23×D7911yescharacteristic
1648C22×C4C23×D7911yescharacteristic
1649C22×C4C23×D7911yescharacteristic
1650C22×C4C23×D7911yescharacteristic
1651C22×C4C23×D7911yescharacteristic
1652C22×C4C23×D7914yes—
1653C22×C4C23×D7914yes—
1654C22×C4C23×D7914yes—
1655C22×C4C23×D7914yes—
1656C4⋊C4—794no—
1657C4⋊C4—794no—
1658C4⋊C4—794no—
1659C4⋊C4—794no—
1660C4⋊C4—794no—
1661C4⋊C4—794no—
1662C4⋊C4—794no—
1663C4⋊C4—794no—
1664C4⋊C4—794no—
1665C4⋊C4—794no—
1666C4⋊C4—794no—
1667C4⋊C4—794no—
1668C4⋊C4—794no—
1669C4⋊C4—794no—
1670C4⋊C4—794no—
1671C4⋊C4—794no—
1672C4⋊C4—794no—
1673C4⋊C4—794no—
1674C4⋊C4—794no—
1675C4⋊C4—794no—
1676C4⋊C4—794no—
1677C4⋊C4—794no—
1678C4⋊C4—794no—
1679C4⋊C4—794no—
1680C4⋊C4—794no—
1681C4⋊C4—794no—
1682C4⋊C4—794no—
1683C4⋊C4—794no—
1684C4⋊C4—794no—
1685C4⋊C4—794no—
1686C4⋊C4—794no—
1687C4⋊C4—794no—
1688C4⋊C4—794no—
1689C4⋊C4—794no—
1690C4⋊C4—794no—
1691C4⋊C4—794no—
1692C4⋊C4—794no—
1693C4⋊C4—794no—
1694C4⋊C4—794no—
1695C4⋊C4—794no—
1696C4⋊C4—794no—
1697C4⋊C4—794no—
1698C4⋊C4C23×D7914yes—
1699C4⋊C4C23×D7914yes—
1700C4⋊C4C23×D7914yes—
1701C4⋊C4C23×D7914yes—
1702C4⋊C4C23×D7914yes—
1703C4⋊C4C23×D7914yes—
1704C4⋊C4C23×D7914yes—
1705C4⋊C4C23×D7914yes—
1706C22⋊C4—794no—
1707C22⋊C4—794no—
1708C22⋊C4—794no—
1709C22⋊C4—794no—
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—794no—
1725C22⋊C4—794no—
1726C22⋊C4—794no—
1727C22⋊C4—794no—
1728C22⋊C4—794no—
1729C22⋊C4—794no—
1730C22⋊C4—794no—
1731C22⋊C4—794no—
1732C22⋊C4—794no—
1733C22⋊C4—794no—
1734C22⋊C4—794no—
1735C22⋊C4—794no—
1736C22⋊C4—794no—
1737C22⋊C4—794no—
1738C22⋊C4C23×D7914yes—
1739C22⋊C4C23×D7914yes—
1740C22⋊C4C23×D7914yes—
1741C22⋊C4C23×D7914yes—
1742C22⋊C4C23×D7914yes—
1743C22⋊C4C23×D7914yes—
1744C22⋊C4C23×D7914yes—
1745C22⋊C4C23×D7914yes—
1746C22⋊C4C23×D7914yes—
1747C22⋊C4C23×D7914yes—
1748C22⋊C4C23×D7914yes—
1749C22⋊C4C23×D7914yes—
1750C22⋊C4C23×D7914yes—
1751C22⋊C4C23×D7914yes—
1752C42—794no—
1753C42—794no—
1754C42—794no—
1755C42—794no—
1756C42—794no—
1757C42—794no—
1758C42—794no—
1759C42C23×D7914yes—
1760C42C23×D7914yes—
1761C42C23×D7914yes—
1762C23—22no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—22no—
1767C23—22no—
1768C23—22no—
1769C23—22no—
1770C23—22no—
1771C23—22no—
1772C23—22no—
1773C23—28no—
1774C23—44no—
1775C23—44no—
1776C23—88no—
1777C23—31616no—
1778C23—3164no—
1779C23—794no—
1780C23—792no—
1781C23—792no—
1782C23—792no—
1783C23—1588no—
1784C23—1582no—
1785C23—1582no—
1786C23—1582no—
1787C23—1588no—
1788C23—1582no—
1789C23—1582no—
1790C23—1582no—
1791C23—1582no—
1792C23—1582no—
1793C23#1457920814yes—
1794C23C24×D7912yes—
1795C23C24×D7912yes—
1796C23C24×D7912yes—
1797C23C24×D7912yes—
1798C23C24×D7911yescharacteristic
1799Q8—44no—
1800Q8—3164no—
1801Q8—3164no—
1802Q8—3164no—
1803Q8—3164no—
1804Q8—3164no—
1805Q8—3164no—
1806Q8—3164no—
1807Q8—3164no—
1808D4—28no—
1809D4—44no—
1810D4—44no—
1811D4—3164no—
1812D4—3164no—
1813D4—3164no—
1814D4—3164no—
1815D4—3164no—
1816D4—3164no—
1817D4—3164no—
1818D4—1588no—
1819D4—1588no—
1820D4—1588no—
1821D4—1588no—
1822D4—1588no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—28no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—44no—
1836C2×C4—44no—
1837C2×C4—44no—
1838C2×C4—44no—
1839C2×C4—3164no—
1840C2×C4—3164no—
1841C2×C4—3164no—
1842C2×C4—3164no—
1843C2×C4—3164no—
1844C2×C4—3164no—
1845C2×C4—3164no—
1846C2×C4—3164no—
1847C2×C4—3164no—
1848C2×C4—3164no—
1849C2×C4—3164no—
1850C2×C4—3164no—
1851C2×C4—3164no—
1852C2×C4—3164no—
1853C2×C4—792no—
1854C2×C4—792no—
1855C2×C4—792no—
1856C2×C4—792no—
1857C2×C4—792no—
1858C2×C4—792no—
1859C2×C4—792no—
1860C2×C4—792no—
1861C2×C4—792no—
1862C2×C4—792no—
1863C2×C4—792no—
1864C2×C4—792no—
1865C2×C4—792no—
1866C2×C4—1588no—
1867C2×C4—1588no—
1868C2×C4—1588no—
1869C2×C4—1588no—
1870C2×C4—1582no—
1871C2×C4—1582no—
1872C2×C4—1582no—
1873C2×C4—1582no—
1874C2×C4—1582no—
1875C2×C4—1582no—
1876C2×C4—1582no—
1877C2×C4—1582no—
1878C2×C4—1582no—
1879C2×C4—1582no—
1880C2×C4—1582no—
1881C2×C4—1582no—
1882C2×C4—1582no—
1883C2×C4C24×D7912yes—
1884C2×C4C24×D7912yes—
1885C2×C4C24×D7912yes—
1886C2×C4C24×D7912yes—
1887C2×C4C24×D7912yes—
1888C2×C4C24×D7912yes—
1889C2×C4C24×D7912yes—
1890C2×C4C24×D7912yes—
1891C2×C4C24×D7912yes—
1892C2×C4C24×D7912yes—
1893C2×C4C24×D7912yes—
1894C22—28no—
1895C22—22no—
1896C22—22no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—22no—
1901C22—22no—
1902C22—22no—
1903C22—22no—
1904C22—22no—
1905C22—22no—
1906C22—44no—
1907C22—44no—
1908C22—44no—
1909C22—88no—
1910C22—31616no—
1911C22—3164no—
1912C22—3164no—
1913C22—794no—
1914C22—1582no—
1915C22—1582no—
1916C22—1582no—
1917C22—1582no—
1918C22—1582no—
1919C22—1582no—
1920C22—1588no—
1921C22—1582no—
1922C22—1582no—
1923C22H(5,𝔽2)×D7912yes—
1924C22C2×#1457920814yes—
1925C22C2×#1457920812yes—
1926C22#1909939912yes—
1927C22C25×D7911yescharacteristic
1928C4—22no—
1929C4—22no—
1930C4—22no—
1931C4—22no—
1932C4—22no—
1933C4—22no—
1934C4—22no—
1935C4—22no—
1936C4—22no—
1937C4—22no—
1938C4—22no—
1939C4—1582no—
1940C4—1582no—
1941C4—1582no—
1942C4—1582no—
1943C4—1582no—
1944C4—1582no—
1945C4—1582no—
1946C4—1582no—
1947C4—1582no—
1948C4—1582no—
1949C4—1582no—
1950C4—1582no—
1951C4—1582no—
1952C2—24no—
1953C2—42no—
1954C2—42no—
1955C2—42no—
1956C2—3162no—
1957C2—3162no—
1958C2—1584no—
1959C2#2377759614yesdirect product factor
1960C2C2×H(5,𝔽2)×D7911yescharacteristic
1961C2C22×#1457920811yescharacteristic
1962C2C2×#1909939911yescharacteristic
subgroupG/H
centerC23C24×D79
commutator, cosocleC22×C79C26
FrattiniC22C25×D79
FittingC2×#551×C79C2
socleC23×C79C25
hypercenterC2×#551D79
hypocenterC79C2×#3535
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C23 ◁ C2×#551

Complements

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

NH ≅ G/Ntype
1. #23777596C2direct (N × H)
2. C2×#19099315C2semidirect
3. C2×#19099314C2semidirect
4. C2×#19099310C2semidirect
5. C2×#19099307C2semidirect
6. C2×#19099272C2semidirect
7. C2×#19099267C2semidirect
8. C2×#19099252C2semidirect
9. C2×#19099249C2semidirect
10. C2×#19099239C2semidirect
11. C2×#19099237C2semidirect
12. C2×#19099236C2semidirect
13. C2×#19099218C2semidirect
14. C2×#19099211C2semidirect
15. C2×#19099203C2semidirect
16. C2×#19099200C2semidirect
17. C2×#19099191C2semidirect
18. C2×#19099189C2semidirect
19. C2×#19099184C2semidirect
20. C2×#19099181C2semidirect
21. C2×#19099157C2semidirect
22. C2×#19099156C2semidirect
23. C2×#19099155C2semidirect
24. C2×#19099154C2semidirect
25. C2×#19099154C2semidirect
26. C2×#19099148C2semidirect
27. C2×#19099136C2semidirect
28. C2×#19099133C2semidirect
29. C2×#19099072C2semidirect
30. C22×#14579143C2semidirect
31. C2×C22⋊Q8×D79C2semidirect
32. C2×#551×C79C2semidirect
34. C22×#11929624C22semidirect
36. C22×Q8×D79C22semidirect
39. #19099315C22semidirect
40. #19099314C22semidirect
41. #19099310C22semidirect
42. #19099307C22semidirect
43. #19099272C22semidirect
44. #19099267C22semidirect
45. #19099252C22semidirect
46. #19099249C22semidirect
47. #19099239C22semidirect
48. #19099237C22semidirect
49. #19099236C22semidirect
50. #19099218C22semidirect
51. #19099211C22semidirect
52. #19099203C22semidirect
53. #19099200C22semidirect
54. #19099191C22semidirect
55. #19099189C22semidirect
56. #19099184C22semidirect
57. #19099181C22semidirect
58. #19099157C22semidirect
59. #19099156C22semidirect
60. #19099155C22semidirect
61. #19099154C22semidirect
62. #19099154C22semidirect
63. #19099148C22semidirect
64. #19099136C22semidirect
65. #19099133C22semidirect
66. C2×#14579161C22semidirect
67. C2×#14579161C22semidirect
68. C2×#14579160C22semidirect
69. C2×#14579160C22semidirect
70. C2×#14579160C22semidirect
71. C2×#14579159C22semidirect
72. C2×#14579156C22semidirect
73. C2×#14579156C22semidirect
74. C2×#14579156C22semidirect
75. C2×#14579156C22semidirect
76. C2×#14579155C22semidirect
77. C2×#14579154C22semidirect
78. C2×#14579154C22semidirect
79. C2×#14579154C22semidirect
80. C2×#14579154C22semidirect
81. C2×#14579154C22semidirect
82. C2×#14579153C22semidirect
83. C2×#14579153C22semidirect
84. C2×#14579153C22semidirect
85. C2×#14579152C22semidirect
86. C2×#14579152C22semidirect
87. C2×#14579152C22semidirect
88. C2×#14579152C22semidirect
89. C2×#14579151C22semidirect
90. C2×#14579151C22semidirect
91. C2×#14579151C22semidirect
92. C2×#14579149C22semidirect
93. C2×#14579148C22semidirect
96. C2×#14579147C22semidirect
97. C2×#14579147C22semidirect
98. C2×#14579147C22semidirect
99. #19099072C22semidirect
100. C2×#14579146C22semidirect
101. C2×#14579146C22semidirect
102. C2×#14579146C22semidirect
104. C2×#14579145C22semidirect
105. C2×#14579145C22semidirect
106. C2×#14579145C22semidirect
119. C2×#14579143C22semidirect
120. C2×#14579143C22semidirect
121. C2×#14579143C22semidirect
122. C2×#14579143C22semidirect
123. C2×#14579143C22semidirect
124. C2×#14579143C22semidirect
125. C2×#14579142C22semidirect
126. C2×#14579141C22semidirect
127. C2×#14579141C22semidirect
128. C2×#14579141C22semidirect
130. C2×#14579140C22semidirect
131. C2×#14579140C22semidirect
132. C2×#14579140C22semidirect
133. C2×#14579140C22semidirect
134. C2×#14579140C22semidirect
135. C2×#14579139C22semidirect
136. C2×#14579139C22semidirect
137. C2×#14579139C22semidirect
138. C2×#14579139C22semidirect
139. C2×#14579139C22semidirect
140. C2×#14579139C22semidirect
148. C2×#14579138C22semidirect
149. C2×#14579138C22semidirect
150. C2×#14579138C22semidirect
151. C2×#14579138C22semidirect
152. C2×#14579138C22semidirect
153. C2×#14579138C22semidirect
154. C2×#14579138C22semidirect
155. C2×#14579138C22semidirect
156. C2×#14579137C22semidirect
157. C2×#14579137C22semidirect
158. C22⋊Q8×D79C22semidirect
162. C2×#14579134C22semidirect
166. C2×#14579133C22semidirect
168. C2×#14579132C22semidirect
172. C2×C4×Dic158C22semidirect
173. C2×#14579126C22semidirect
174. C2×C4×D316C22semidirect
175. C2×C4×D316C22semidirect
180. C2×C4×C22⋊D79C22semidirect
184. C2×(C22⋊D79)⋊C4C22semidirect
185. C2×(C22⋊D79)⋊C4C22semidirect
187. C2×#14579119C22semidirect
188. C2×#14579118C22semidirect
189. C2×#14579118C22semidirect
190. C2×#14579117C22semidirect
193. C22×Dic79⋊C4C22semidirect
194. C2×C4⋊C4×D79C22semidirect
195. C2×C4⋊C4×D79C22semidirect
196. C2×C4⋊C4×D79C22semidirect
197. C2×C4⋊C4×D79C22semidirect
203. #551×C79C22semidirect
204. C2×#126×C79C22semidirect
205. C2×#126×C79C22semidirect
206. C2×#124×C79C22semidirect
208. C2×#123×C79C22semidirect
209. C2×#123×C79C22semidirect
211. C2×C22⋊Q8×C79C22semidirect
214. C2×C4×D4×C79C22semidirect
216. C2×#117×C79C22semidirect
223. C2×#11929624C23semidirect
235. C2×Q8×D79C23semidirect
270. #14579161C23semidirect
271. #14579161C23semidirect
272. #14579160C23semidirect
273. #14579160C23semidirect
274. #14579160C23semidirect
275. #14579159C23semidirect
276. #14579156C23semidirect
277. #14579156C23semidirect
278. #14579156C23semidirect
279. #14579156C23semidirect
280. #14579155C23semidirect
281. #14579154C23semidirect
282. #14579154C23semidirect
283. #14579154C23semidirect
284. #14579154C23semidirect
285. #14579154C23semidirect
286. #14579153C23semidirect
287. #14579153C23semidirect
288. #14579153C23semidirect
289. #14579152C23semidirect
290. #14579152C23semidirect
291. #14579152C23semidirect
292. #14579152C23semidirect
293. #14579151C23semidirect
294. #14579151C23semidirect
295. #14579151C23semidirect
296. #14579149C23semidirect
297. #14579148C23semidirect
300. #14579147C23semidirect
301. #14579147C23semidirect
302. #14579147C23semidirect
303. #14579146C23semidirect
304. #14579146C23semidirect
305. #14579146C23semidirect
307. #14579145C23semidirect
308. #14579145C23semidirect
309. #14579145C23semidirect
322. #14579143C23semidirect
323. #14579143C23semidirect
324. #14579143C23semidirect
325. #14579143C23semidirect
326. #14579143C23semidirect
327. #14579142C23semidirect
328. #14579141C23semidirect
329. #14579141C23semidirect
330. #14579141C23semidirect
332. #14579140C23semidirect
333. #14579140C23semidirect
334. #14579140C23semidirect
335. #14579140C23semidirect
336. #14579140C23semidirect
337. #14579139C23semidirect
338. #14579139C23semidirect
339. #14579139C23semidirect
340. #14579139C23semidirect
341. #14579139C23semidirect
342. #14579139C23semidirect
350. #14579138C23semidirect
351. #14579138C23semidirect
352. #14579138C23semidirect
353. #14579138C23semidirect
354. #14579138C23semidirect
355. #14579138C23semidirect
356. #14579138C23semidirect
357. #14579138C23semidirect
358. #14579137C23semidirect
359. #14579137C23semidirect
363. #14579134C23semidirect
367. #14579133C23semidirect
369. #14579132C23semidirect
373. C4×Dic158C23semidirect
374. #14579126C23semidirect
375. C4×D316C23semidirect
376. C4×D316C23semidirect
381. C4×C22⋊D79C23semidirect
385. (C22⋊D79)⋊C4C23semidirect
386. (C22⋊D79)⋊C4C23semidirect
388. #14579119C23semidirect
389. #14579118C23semidirect
390. #14579118C23semidirect
391. #14579117C23semidirect
436. C2×Dic79⋊C4C23semidirect
437. C4⋊C4×D79C23semidirect
438. C4⋊C4×D79C23semidirect
439. C4⋊C4×D79C23semidirect
440. C4⋊C4×D79C23semidirect
495. #126×C79C23semidirect
496. #126×C79C23semidirect
497. #124×C79C23semidirect
499. #123×C79C23semidirect
500. #123×C79C23semidirect
502. C22⋊Q8×C79C23semidirect
505. C4×D4×C79C23semidirect
507. #117×C79C23semidirect
975. C2×C79#3535semidirect
994. C2×#551D79semidirect
1014. C79C2×#3535semidirect
1032. #551C2×D79semidirect
1065. C2×#126C2×D79semidirect
1066. C2×#126C2×D79semidirect
1084. C2×#124C2×D79semidirect
1113. C2×#123C2×D79semidirect
1114. C2×#123C2×D79semidirect
1149. C2×C22⋊Q8C2×D79semidirect
1179. C2×C4×D4C2×D79semidirect
1186. C2×#117C2×D79semidirect
1278. #126C22×D79semidirect
1279. #126C22×D79semidirect
1297. #124C22×D79semidirect
1324. #123C22×D79semidirect
1325. #123C22×D79semidirect
1359. C22⋊Q8C22×D79semidirect
1389. C4×D4C22×D79semidirect
1396. #117C22×D79semidirect
1959. C2#23777596direct (N × H)

Maximal subgroups

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

subgroupindex
#237775962
C2×#190993152
C2×#190993142
C2×#190993102
C2×#190993072
C2×#190992722
C2×#190992672
C2×#190992522
C2×#190992492
C2×#190992392
C2×#190992372
C2×#190992362
C2×#190992182
C2×#190992112
C2×#190992032
C2×#190992002
C2×#190991912
C2×#190991892
C2×#190991842
C2×#190991812
C2×#190991572
C2×#190991562
C2×#190991552
C2×#190991542
C2×#190991482
C2×#190991362
C2×#190991332
C2×#190990722
C22×#145791432
C2×C22⋊Q8×D792
C2×#551×C792
C2×#353579