Finite Group Databasebeta

← #35185506

Subgroups — #35185506

Order 20224.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23778048C211yesmaximal, characteristic, complemented
2#23777347C211yesmaximal, characteristic, complemented
3#23776343C211yesmaximal, characteristic, complemented
4#23776264C211yesmaximal, characteristic, complemented
5#23776151C211yesmaximal, characteristic, complemented
6#23776097C211yesmaximal, characteristic, complemented
7#23776000C211yesmaximal, characteristic, complemented
8#23775977C211yesmaximal, characteristic, complemented
9#23775968C211yesmaximal, characteristic, complemented
10#23775911C211yesmaximal, characteristic, complemented
11#23775866C211yesmaximal, characteristic, complemented
12#23775640C211yesmaximal, characteristic, complemented
13#23775610C211yesmaximal, characteristic, complemented
14#23775604C211yesmaximal, characteristic, complemented
15#23775442C211yesmaximal, characteristic, complemented
16#23775427C211yesmaximal, characteristic, complemented
17#23775252C211yesmaximal, characteristic, complemented
18#23774864C211yesmaximal, characteristic, complemented
19#23774814C211yesmaximal, characteristic, complemented
20#23774803C211yesmaximal, characteristic, complemented
21#23774681C211yesmaximal, characteristic, complemented
22#23774649C211yesmaximal, characteristic, complemented
23#23774580C211yesmaximal, characteristic, complemented
24#23773665C211yesmaximal, characteristic, complemented
25#23773587C211yesmaximal, characteristic, complemented
26#23773451C211yesmaximal, characteristic, complemented
27#23773267C211yesmaximal, characteristic, complemented
28#23773234C211yesmaximal, characteristic, complemented
29#23773195C211yesmaximal, characteristic, complemented
30#23772550C211yesmaximal, characteristic, complemented
31C79×#3337C211yesmaximal, characteristic, complemented
32#19099317—21no—
33#19099310—21no—
34#19099296C2211yescharacteristic
35#19099289C2211yescharacteristic, complemented
36#19099284C2211yescharacteristic, complemented
37#19099280—21no—
38#19099276C2211yescharacteristic
39#19099269C2211yescharacteristic
40#19099269C2211yescharacteristic, complemented
41#19099263—21no—
42#19099261C2211yescharacteristic, complemented
43#19099259C2211yescharacteristic, complemented
44#19099255C2211yescharacteristic
45#19099252—21no—
46#19099252C2211yescharacteristic
47#19099241—21no—
48#19099238—21no—
49#19099214C2211yescharacteristic
50#19099210—21no—
51#19099210C2211yescharacteristic
52#19099209C2211yescharacteristic
53#19099197C2211yescharacteristic
54#19099194C2211yescharacteristic, complemented
55#19099191C2211yescharacteristic, complemented
56#19099186C2211yescharacteristic, complemented
57#19099186C2211yescharacteristic, complemented
58#19099184—21no—
59#19099181—21no—
60#19099180C2211yescharacteristic
61#19099176—21no—
62#19099166C2211yescharacteristic
63#19099154—21no—
64#19099154—21no—
65#19099145—21no—
66#19099119C2211yescharacteristic, complemented
67#19099100C2211yescharacteristic, complemented
68#19099098C2211yescharacteristic
69#19099095C2211yescharacteristic
70#19099072—21no—
71#123×D79—21no—
72#19099044C2211yescharacteristic
73#19099037C2211yescharacteristic
74C4×D4×D79C2211yescharacteristic
75#19098971C2211yescharacteristic, complemented
76#19098970C2211yescharacteristic, complemented
77#19098967C2211yescharacteristic, complemented
78#19098964C2211yescharacteristic, complemented
79#19098962C2211yescharacteristic, complemented
80#19098926C2211yescharacteristic
81#19098921C2211yescharacteristic, complemented
82#19098920C2211yescharacteristic, complemented
83#19098918C2211yescharacteristic, complemented
84#19098916C2211yescharacteristic, complemented
85#19098908C2211yescharacteristic
86#19098907C2211yescharacteristic, complemented
87#19098906C2211yescharacteristic, complemented
88#19098904C2211yescharacteristic, complemented
89#19098899C2211yescharacteristic, complemented
90#19098897C2211yescharacteristic, complemented
91#19098890C2211yescharacteristic
92#19098889C2211yescharacteristic
93#19098888C2211yescharacteristic, complemented
94#19098887C2211yescharacteristic, complemented
95#19098884C2211yescharacteristic, complemented
96#19098883C2211yescharacteristic, complemented
97#19098881C2211yescharacteristic, complemented
98#19098876C2211yescharacteristic, complemented
99#19098874C2211yescharacteristic
100#19098873C2211yescharacteristic, complemented
101#19098873C2211yescharacteristic, complemented
102#19098872C2211yescharacteristic, complemented
103#19098866C2211yescharacteristic
104#19098866C2211yescharacteristic, complemented
105#19098864C2211yescharacteristic
106#19098863C2211yescharacteristic, complemented
107#19098862C2211yescharacteristic
108#19098862C2211yescharacteristic
109#19098862C2211yescharacteristic, complemented
110#19098862C2211yescharacteristic, complemented
111#19098861C2211yescharacteristic, complemented
112#19098860C2211yescharacteristic
113#19098860C2211yescharacteristic, complemented
114#19098857C2211yescharacteristic, complemented
115#19098852C2211yescharacteristic
116#19098852C2211yescharacteristic
117#19098852C2211yescharacteristic
118#19098852C2211yescharacteristic, complemented
119#19098852C2211yescharacteristic, complemented
120#19098851C2211yescharacteristic, complemented
121#19098847C2211yescharacteristic, complemented
122#19098847C2211yescharacteristic, complemented
123#19098846C2211yescharacteristic, complemented
124#19098842C2211yescharacteristic
125#19098842C2211yescharacteristic, complemented
126#19098842C2211yescharacteristic, complemented
127#19098841C2211yescharacteristic, complemented
128#19098820C2211yescharacteristic, complemented
129#19098819C2211yescharacteristic, complemented
130#19098817C2211yescharacteristic
131#19098814C2211yescharacteristic
132#19098814C2211yescharacteristic, complemented
133#19098812C2211yescharacteristic
134#19098811C2211yescharacteristic, complemented
135#19098810C2211yescharacteristic, complemented
136#19098799C2211yescharacteristic, complemented
137#19098792C2211yescharacteristic, complemented
138#19098788C2211yescharacteristic, complemented
139#19098785C2211yescharacteristic, complemented
140#19098783C2211yescharacteristic, complemented
141#19098781C2211yescharacteristic
142#19098781C2211yescharacteristic, complemented
143#19098780C2211yescharacteristic, complemented
144#19098779C2211yescharacteristic, complemented
145#19098777C2211yescharacteristic, complemented
146#19098761C2211yescharacteristic
147#19098757C2211yescharacteristic
148#19098723C2211yescharacteristic
149#19098713C2211yescharacteristic
150#19098712C2211yescharacteristic
151#19098710C2211yescharacteristic
152#19098699C2211yescharacteristic
153#19098698C2211yescharacteristic
154#19098690C2211yescharacteristic, complemented
155C8×Dic158C2211yescharacteristic, complemented
156#19098674C2211yescharacteristic, complemented
157#19098666C2211yescharacteristic
158#19098666C2211yescharacteristic
159#19098662C2211yescharacteristic, complemented
160#19098655C2211yescharacteristic, complemented
161C4×#11929611C2211yescharacteristic
162#19098648C2211yescharacteristic, complemented
163C4×D632C2211yescharacteristic
164#19098645C2211yescharacteristic
165#19098645C2211yescharacteristic
166C4×#11929609C2211yescharacteristic, complemented
167#19098641C2211yescharacteristic, complemented
168#19098638C2211yescharacteristic
169#19098638C2211yescharacteristic, complemented
170#19098634C2211yescharacteristic
171#19098634C2211yescharacteristic, complemented
172#19098621C2211yescharacteristic, complemented
173#19098621C2211yescharacteristic, complemented
174#19098614C2211yescharacteristic, complemented
175#19098606C2211yescharacteristic, complemented
176#19098604C2211yescharacteristic, complemented
177#19098603C2211yescharacteristic, complemented
178#19098602C2211yescharacteristic, complemented
179#19098589C2211yescharacteristic, complemented
180#19098589C2211yescharacteristic, complemented
181#19098585C2211yescharacteristic, complemented
182#19098567C2211yescharacteristic
183#19098566C2211yescharacteristic
184#19098566C2211yescharacteristic
185#19098562C2211yescharacteristic
186#19098560C2211yescharacteristic
187C2×#14579083C2211yescharacteristic
188#553×C79C2211yescharacteristic
189#552×C79C2211yescharacteristic, complemented
190#499×C79C2211yescharacteristic, complemented
191#485×C79C2211yescharacteristic, complemented
192#484×C79C2211yescharacteristic, complemented
193#482×C79C2211yescharacteristic
194#480×C79C2211yescharacteristic, complemented
195#479×C79C2211yescharacteristic, complemented
196#478×C79C2211yescharacteristic, complemented
197#465×C79C2211yescharacteristic
198#465×C79C2211yescharacteristic, complemented
199C4×SD16×C79C2211yescharacteristic, complemented
200C8×D4×C79C2211yescharacteristic, complemented
201#427×C79C2211yescharacteristic, complemented
202C2×#106×C79C2211yescharacteristic, complemented
203C2×#11929624—21no—
204C2×#11929624C2311yescharacteristic
205C22×D316C2311yescharacteristic
206C2×D4×D79—21no—
207C2×D4×D79C2311yescharacteristic
208C22×C4×D79—21no—
209C2×#11929614C2311yescharacteristic
210C2×#11929613C2311yescharacteristic
211C2×#11929611C2311yescharacteristic
212C2×#11929611C2311yescharacteristic
213C2×D632C2311yescharacteristic
214C2×D632C2311yescharacteristic
215C2×#11929609C2311yescharacteristic
216C2×#11929608C2311yescharacteristic
217C2×#11929608C2311yescharacteristic
218C2×#11929607C2311yescharacteristic
219C2×#11929607C2311yescharacteristic
220#14579161—21no—
221#14579160—21no—
222#14579160—21no—
223#14579160C2311yescharacteristic
224#14579160C2311yescharacteristic
225#14579160C2311yescharacteristic
226#14579160C2311yescharacteristic
227#14579160C2311yescharacteristic
228#14579157C2311yescharacteristic
229#14579156—21no—
230#14579156—21no—
231#14579156—21no—
232#14579156—21no—
233#14579156—21no—
234#14579156—21no—
235#14579156—21no—
236#14579156—21no—
237#14579154—21no—
238#14579154—21no—
239#14579154—21no—
240#14579154D411yescharacteristic
241#14579154D411yescharacteristic
242#14579153—21no—
243#14579153—21no—
244#14579153—21no—
245#14579153C2311yescharacteristic
246#14579152—21no—
247#14579152—21no—
248#14579152—21no—
249#14579152D411yescharacteristic
250#14579152C2311yescharacteristic
251#14579152C2311yescharacteristic
252#14579152C2311yescharacteristic
253#14579152C2311yescharacteristic
254#14579150C2311yescharacteristic
255#14579149—21no—
256#14579149C2311yescharacteristic
257#14579148—21no—
258#14579148D411yescharacteristic
259#14579148C2311yescharacteristic
260#14579147—21no—
261#14579147—21no—
262#14579147—21no—
263#14579147—21no—
264#14579147—21no—
265#14579146—21no—
266#14579146—21no—
267#14579146—21no—
268#14579146—21no—
269#14579146—21no—
270#14579145—21no—
271#14579145—21no—
272#14579144—21no—
273#14579144—21no—
274#14579143—21no—
275#14579143—21no—
276#14579143—21no—
277#14579143—21no—
278#14579143—21no—
279#14579143—21no—
280#14579143—21no—
281#14579143D411yescharacteristic
282#14579143D411yescharacteristic
283#14579142—21no—
284#14579141—21no—
285#14579141—21no—
286#14579141—21no—
287#14579141—21no—
288#14579141D411yescharacteristic
289#14579141C2311yescharacteristic
290#14579140—21no—
291#14579140—21no—
292#14579140C2311yescharacteristic
293#14579139—21no—
294#14579139—21no—
295#14579139—21no—
296#14579139—21no—
297#14579139—21no—
298#14579139—21no—
299#14579139—21no—
300#14579138—21no—
301#14579138—21no—
302#14579138—21no—
303#14579137C2311yescharacteristic
304#14579136C2311yescharacteristic
305#14579136C2311yescharacteristic
306#14579135—21no—
307#14579135C2311yescharacteristic
308#14579135C2311yescharacteristic
309#14579135C2311yescharacteristic
310#14579134—21no—
311#14579134—21no—
312#14579134—21no—
313#14579133—21no—
314#14579133—21no—
315#14579132—21no—
316#14579132—21no—
317#14579132D411yescharacteristic
318#14579131—21no—
319#14579129—21no—
320#14579129—21no—
321#14579129—21no—
322Q8×Dic79C2311yescharacteristic
323Q8×Dic79C2311yescharacteristic
324C4×Dic158—21no—
325C4×Dic158C2311yescharacteristic
326#14579126—21no—
327#14579126—21no—
328#14579126—21no—
329#14579126C2311yescharacteristic
330#14579126C2311yescharacteristic
331C4×D316—21no—
332C4×D316—21no—
333C4×D316—21no—
334C4×D316C2311yescharacteristic
335C4×D316C2311yescharacteristic
336D4×Dic79C2311yescharacteristic
337#14579123—21no—
338#14579123C2311yescharacteristic
339#14579123C2311yescharacteristic
340#14579123C2311yescharacteristic
341#14579123C2311yescharacteristic
342#14579123C2311yescharacteristic
343#14579123C2311yescharacteristic
344#14579123C2311yescharacteristic
345C4×C22⋊D79—21no—
346C4×C22⋊D79—21no—
347C4×C22⋊D79—21no—
348C4×C22⋊D79—21no—
349C4×C22⋊D79—21no—
350C4×C22⋊D79C2311yescharacteristic
351C4×C22⋊D79C2311yescharacteristic
352(C22⋊D79)⋊C4—21no—
353(C22⋊D79)⋊C4—21no—
354#14579120C2311yescharacteristic
355#14579120C2311yescharacteristic
356#14579120C2311yescharacteristic
357#14579119—21no—
358#14579119—21no—
359#14579119C2311yescharacteristic
360#14579119C2311yescharacteristic
361#14579118—21no—
362#14579118—21no—
363#14579118—21no—
364#14579117—21no—
365C2×C4⋊Dic79C2311yescharacteristic
366C4⋊C4×D79—21no—
367C4⋊C4×D79—21no—
368C4⋊C4×D79—21no—
369C4⋊C4×D79C2311yescharacteristic
370C22⋊C4×D79—21no—
371C22⋊C4×D79—21no—
372C22⋊C4×D79—21no—
373C22⋊C4×D79—21no—
374C22⋊C4×D79—21no—
375C42×D79C2311yescharacteristic
376#14579095C2311yescharacteristic
377#14579095C2311yescharacteristic
378#14579094C2311yescharacteristic
379#14579094C2311yescharacteristic
380#14579094C2311yescharacteristic
381#14579094C2311yescharacteristic
382#14579094C2311yescharacteristic
383#14579094C2311yescharacteristic
384#14579093C2311yescharacteristic
385#14579092C2311yescharacteristic
386#14579092C2311yescharacteristic
387#14579092C2311yescharacteristic
388#14579092C2311yescharacteristic
389#14579092C2311yescharacteristic
390#14579092C2311yescharacteristic
391C4⋊(C79⋊C8)C2311yescharacteristic
392Dic79⋊C8C2311yescharacteristic
393Dic79⋊C8C2311yescharacteristic
394Dic79⋊C8C2311yescharacteristic
395Dic79⋊C8C2311yescharacteristic
396Dic79⋊C8C2311yescharacteristic
397Dic79⋊C8C2311yescharacteristic
398Dic79⋊C8C2311yescharacteristic
399Dic79⋊C8C2311yescharacteristic
400#14579086C2311yescharacteristic
401#14579086C2311yescharacteristic
402#14579086C2311yescharacteristic
403#14579085C2311yescharacteristic
404#14579084C2311yescharacteristic
405#14579084C2311yescharacteristic
406#14579084C2311yescharacteristic
407#14579083C2311yescharacteristic
408#14579083C2311yescharacteristic
409#14579083C2311yescharacteristic
410#14579083C2311yescharacteristic
411#14579083C2311yescharacteristic
412#14579083C2311yescharacteristic
413#14579083C2311yescharacteristic
414#14579082C2311yescharacteristic
415#14579082C2311yescharacteristic
416#14579082C2311yescharacteristic
417#14579081C2311yescharacteristic
418#14579081C2311yescharacteristic
419#14579081C2311yescharacteristic
420#14579081C2311yescharacteristic
421#14579081C2311yescharacteristic
422#14579081C2311yescharacteristic
423#14579081C2311yescharacteristic
424#14579081C2311yescharacteristic
425#14579081C2311yescharacteristic
426C22⋊(C79⋊C8)C2311yescharacteristic
427C22⋊(C79⋊C8)C2311yescharacteristic
428(C2×D79)⋊C8C2311yescharacteristic
429(C2×D79)⋊C8C2311yescharacteristic
430#14579071C2311yescharacteristic
431#14579071C2311yescharacteristic
432C4×C79⋊C8C2311yescharacteristic
433C8×Dic79C2311yescharacteristic
434C8×Dic79C2311yescharacteristic
435C2×SD16×C79C2311yescharacteristic
436C22×C8×C79C2311yescharacteristic
437C22×C8×C79C2311yescharacteristic
438#126×C79—21no—
439#126×C79—21no—
440#125×C79—21no—
441#125×C79C2311yescharacteristic
442#125×C79C2311yescharacteristic
443#123×C79—21no—
444#123×C79—21no—
445C22⋊Q8×C79C2311yescharacteristic
446C22⋊Q8×C79C2311yescharacteristic
447#121×C79—21no—
448#121×C79C2311yescharacteristic
449#121×C79C2311yescharacteristic
450C4×Q8×C79C2311yescharacteristic
451C4×D4×C79—21no—
452C4×D4×C79C2311yescharacteristic
453C4×D4×C79C2311yescharacteristic
454#117×C79—21no—
455#117×C79C2311yescharacteristic
456#117×C79C2311yescharacteristic
457C2×C4⋊C4×C79C2311yescharacteristic
458C2×C4⋊C4×C79C2311yescharacteristic
459#107×C79C2311yescharacteristic
460#107×C79C2311yescharacteristic
461#107×C79C2311yescharacteristic
462#107×C79C2311yescharacteristic
463#106×C79C2311yescharacteristic
464#106×C79C2311yescharacteristic
465#106×C79C2311yescharacteristic
466#106×C79C2311yescharacteristic
467#106×C79C2311yescharacteristic
468C4⋊C8×C79C2311yescharacteristic
469#103×C79C2311yescharacteristic
470#103×C79C2311yescharacteristic
471#103×C79C2311yescharacteristic
472#102×C79C2311yescharacteristic
473#102×C79C2311yescharacteristic
474#102×C79C2311yescharacteristic
475C22⋊C8×C79C2311yescharacteristic
476C22⋊C8×C79C2311yescharacteristic
477C4×C8×C79C2311yescharacteristic
478C23×D79—21no—
479C23×D79—21no—
480#11929624—22no—
481#11929624—41no—
482#11929624—82no—
483C2×Dic158—21no—
484C2×Dic158—21no—
485C2×Dic158—21no—
486C2×Dic158—21no—
487C2×Dic158—21no—
488C2×Dic158C2×D411yescharacteristic
489C2×Dic158C2411yescharacteristic
490C2×D316—21no—
491C2×D316—21no—
492C2×D316—22no—
493C2×D316—21no—
494C2×D316—41no—
495C2×D316C2411yescharacteristic
496C2×D316C2411yescharacteristic
497C2×D316C2411yescharacteristic
498C2×C22⋊D79—21no—
499C2×C22⋊D79—21no—
500C2×C22⋊D79—21no—
501C2×C22⋊D79—21no—
502C2×C22⋊D79—21no—
503C2×C22⋊D79—21no—
504C2×C22⋊D79—21no—
505C2×C22⋊D79C2×D411yescharacteristic
506C2×C22⋊D79C2×D411yescharacteristic
507D4×D79—22no—
508D4×D79—41no—
509D4×D79—82no—
510C22×Dic79—21no—
511C22×Dic79—21no—
512C2×C4×D79—21no—
513C2×C4×D79—21no—
514C2×C4×D79—21no—
515C2×C4×D79—21no—
516C2×C4×D79—21no—
517C2×C4×D79—21no—
518C2×C4×D79—21no—
519C2×C4×D79—21no—
520C2×C4×D79—21no—
521C2×C4×D79—21no—
522C2×C4×D79—21no—
523C2×C4×D79—82no—
524C2×C4×D79C2×D411yescharacteristic
525C2×C4×D79C2×D411yescharacteristic
526C2×C4×D79C2411yescharacteristic
527#11929614—41no—
528#11929613—41no—
529#11929611—22no—
530#11929611—41no—
531D632—22no—
532D632—41no—
533#11929609—41no—
534#11929608—41no—
535#11929608—41no—
536#11929607—41no—
537#11929607—41no—
538C2×C79⋊C8C2411yescharacteristic
539C2×C79⋊C8C2411yescharacteristic
540C2×C79⋊C8C2411yescharacteristic
541C2×C79⋊C8C2411yescharacteristic
542C4⋊Dic79—21no—
543C4⋊Dic79—21no—
544C4⋊Dic79—21no—
545C4⋊Dic79—21no—
546C4⋊Dic79—21no—
547C4⋊Dic79—21no—
548C4⋊Dic79—21no—
549C4⋊Dic79—21no—
550C4⋊Dic79C2×D411yescharacteristic
551C4⋊Dic79C2×D411yescharacteristic
552C4⋊Dic79C2×D411yescharacteristic
553C4⋊Dic79C2×D411yescharacteristic
554C4⋊Dic79C2×D411yescharacteristic
555C4⋊Dic79C2411yescharacteristic
556C4⋊Dic79C2411yescharacteristic
557C4⋊Dic79C2411yescharacteristic
558C4⋊Dic79C2411yescharacteristic
559Dic79⋊C4—21no—
560Dic79⋊C4—21no—
561Dic79⋊C4—21no—
562Dic79⋊C4—21no—
563Dic79⋊C4—21no—
564Dic79⋊C4—21no—
565Dic79⋊C4—21no—
566Dic79⋊C4—21no—
567Dic79⋊C4—21no—
568Dic79⋊C4—21no—
569Dic79⋊C4—21no—
570Dic79⋊C4—21no—
571Dic79⋊C4—21no—
572Dic79⋊C4—21no—
573Dic79⋊C4—21no—
574Dic79⋊C4—21no—
575Dic79⋊C4C2×D411yescharacteristic
576Dic79⋊C4C2×D411yescharacteristic
577Dic79⋊C4C2×D411yescharacteristic
578Dic79⋊C4C2×D411yescharacteristic
579C22⋊Dic79—21no—
580C22⋊Dic79—21no—
581C22⋊Dic79—21no—
582C22⋊Dic79—21no—
583C22⋊Dic79—21no—
584C22⋊Dic79C2×D411yescharacteristic
585C22⋊Dic79C2×D411yescharacteristic
586C22⋊Dic79C2×D411yescharacteristic
587C22⋊Dic79C2×D411yescharacteristic
588C22⋊Dic79C2×D411yescharacteristic
589C22⋊Dic79C2×D411yescharacteristic
590(C2×D79)⋊C4—21no—
591(C2×D79)⋊C4—21no—
592(C2×D79)⋊C4—21no—
593(C2×D79)⋊C4—21no—
594(C2×D79)⋊C4—21no—
595(C2×D79)⋊C4—21no—
596(C2×D79)⋊C4—21no—
597(C2×D79)⋊C4—21no—
598(C2×D79)⋊C4—21no—
599(C2×D79)⋊C4—21no—
600(C2×D79)⋊C4—21no—
601(C2×D79)⋊C4—21no—
602(C2×D79)⋊C4—21no—
603(C2×D79)⋊C4—21no—
604(C2×D79)⋊C4—21no—
605(C2×D79)⋊C4—21no—
606(C2×D79)⋊C4—21no—
607(C2×D79)⋊C4—21no—
608(C2×D79)⋊C4—21no—
609(C2×D79)⋊C4—21no—
610(C2×D79)⋊C4—21no—
611(C2×D79)⋊C4—21no—
612(C2×D79)⋊C4C2×D411yescharacteristic
613(C2×D79)⋊C4C2×D411yescharacteristic
614C4×Dic79—21no—
615C4×Dic79—21no—
616C4×Dic79—21no—
617C4×Dic79—21no—
618C4×Dic79—21no—
619C4×Dic79—21no—
620C4×Dic79—21no—
621C4×Dic79C2×D411yescharacteristic
622C4×Dic79C2×D411yescharacteristic
623C4×Dic79C2411yescharacteristic
624C4×Dic79C2411yescharacteristic
625C4×Dic79C2411yescharacteristic
626C2×Q8×C79C2411yescharacteristic
627C2×D4×C79—21no—
628C2×D4×C79—21no—
629C2×D4×C79C2×D411yescharacteristic
630C2×D4×C79C2411yescharacteristic
631C22×C4×C79—21no—
632C22×C4×C79—21no—
633C22×C4×C79—21no—
634C22×C4×C79C2411yescharacteristic
635C22×C4×C79C2411yescharacteristic
636SD16×C79—41no—
637C2×C8×C79—41no—
638C2×C8×C79—41no—
639C2×C8×C79C2411yescharacteristic
640C2×C8×C79C2411yescharacteristic
641C2×C8×C79C2411yescharacteristic
642C2×C8×C79C2411yescharacteristic
643C4⋊C4×C79—21no—
644C4⋊C4×C79—21no—
645C4⋊C4×C79—21no—
646C4⋊C4×C79—21no—
647C4⋊C4×C79—21no—
648C4⋊C4×C79—21no—
649C4⋊C4×C79—21no—
650C4⋊C4×C79—21no—
651C4⋊C4×C79—21no—
652C4⋊C4×C79C2×D411yescharacteristic
653C4⋊C4×C79C2411yescharacteristic
654C4⋊C4×C79C2411yescharacteristic
655C4⋊C4×C79C2411yescharacteristic
656C4⋊C4×C79C2411yescharacteristic
657C4⋊C4×C79C2411yescharacteristic
658C4⋊C4×C79C2411yescharacteristic
659C22⋊C4×C79—21no—
660C22⋊C4×C79—21no—
661C22⋊C4×C79—21no—
662C22⋊C4×C79—21no—
663C22⋊C4×C79—21no—
664C22⋊C4×C79—21no—
665C22⋊C4×C79—21no—
666C22⋊C4×C79C2×D411yescharacteristic
667C22⋊C4×C79C2×D411yescharacteristic
668C42×C79—21no—
669C42×C79—21no—
670C42×C79—21no—
671C42×C79C2411yescharacteristic
672C23×C79—21no—
673C23×C79C22×D411yescharacteristic
674C23×C79C22×D411yescharacteristic
675C22×D79—21no—
676C22×D79—21no—
677C22×D79—21no—
678C22×D79—42no—
679C22×D79—42no—
680C22×D79—42no—
681C22×D79—81no—
682C22×D79—81no—
683C22×D79—81no—
684C22×D79C22×D411yescharacteristic
685Q8×C79—21no—
686Q8×C79—21no—
687D4×C79—21no—
688D4×C79—21no—
689D4×C79—41no—
690D4×C79—81no—
691D4×C79—81no—
692C2×C4×C79—21no—
693C2×C4×C79—21no—
694C2×C4×C79—21no—
695C2×C4×C79—21no—
696C2×C4×C79—21no—
697C2×C4×C79—21no—
698C2×C4×C79—21no—
699C2×C4×C79—21no—
700C2×C4×C79—21no—
701C2×C4×C79—21no—
702C2×C4×C79—21no—
703C2×C4×C79—81no—
704C2×C4×C79—81no—
705C2×C4×C79—81no—
706C2×C4×C79C22×D411yescharacteristic
707C2×C4×C79C22×D411yescharacteristic
708C2×C4×C79C22×D411yescharacteristic
709C2×C4×C79C22×D411yescharacteristic
710C2×C4×C79C2511yescharacteristic
711C22⋊D79—41no—
712C22⋊D79—41no—
713C22⋊D79—42no—
714C22⋊D79—42no—
715C22⋊D79—81no—
716C22⋊D79—81no—
717C22⋊D79—81no—
718C22⋊D79—81no—
719C22⋊D79—81no—
720C2×Dic79—21no—
721C2×Dic79—21no—
722C2×Dic79—21no—
723C2×Dic79—21no—
724C2×Dic79—21no—
725C2×Dic79—81no—
726C2×Dic79—81no—
727C2×Dic79C22×D411yescharacteristic
728C2×Dic79C22×D411yescharacteristic
729C2×Dic79C22×D411yescharacteristic
730C2×Dic79C22×D411yescharacteristic
731C2×Dic79C22×D411yescharacteristic
732C2×Dic79C22×D411yescharacteristic
733C2×Dic79C22×D411yescharacteristic
734D316—21no—
735D316—21no—
736D316—21no—
737D316—21no—
738D316—21no—
739D316—42no—
740D316—42no—
741D316—81no—
742D3162−1+412yes—
743C4×D79—21no—
744C4×D79—21no—
745C4×D79—41no—
746C4×D79—41no—
747C4×D79—42no—
748C4×D79—42no—
749C4×D79—81no—
750C4×D79—81no—
751C4×D79—81no—
752C4×D79—81no—
753C4×D79—81no—
754C4×D79—81no—
755C4×D79—81no—
756C4×D79—81no—
757C4×D79—81no—
758Dic158—21no—
759Dic158—21no—
760Dic158—41no—
761Dic158—81no—
762Dic158—81no—
763Dic158—81no—
764Dic158—81no—
765Dic158—81no—
766C8×C79—21no—
767C8×C79—21no—
768C8×C79—21no—
769C8×C79—21no—
770C79⋊C8—21no—
771C79⋊C8—21no—
772C79⋊C8—21no—
773C79⋊C8—21no—
774C22×C79—21no—
775C22×C79—21no—
776C22×C79—21no—
777C22×C79—21no—
778C22×C79—21no—
779C22×C79—21no—
780C22×C79—41no—
781C22×C79—41no—
782C22×C79—41no—
783C22×C79C23×D411yescharacteristic
784C2×D79—21no—
785C2×D79—21no—
786C2×D79—22no—
787C2×D79—21no—
788C2×D79—41no—
789C2×D79—41no—
790C2×D79—41no—
791C2×D79—41no—
792C2×D79—41no—
793C2×D79—41no—
794C2×D79—41no—
795C2×D79—41no—
796C2×D79—84no—
797C2×D79—162no—
798C4×C79—21no—
799C4×C79—21no—
800C4×C79—21no—
801C4×C79—21no—
802C4×C79—41no—
803C4×C79—41no—
804C4×C79—41no—
805C4×C79—41no—
806C4×C79—41no—
807C4×C79—41no—
808C4×C79—41no—
809C4×C79C2×2−1+411yescharacteristic
810C4×C79#58511yescharacteristic
811Dic79—21no—
812Dic79—21no—
813Dic79—21no—
814Dic79—21no—
815Dic79—21no—
816Dic79—21no—
817Dic79—21no—
818Dic79—41no—
819Dic79—41no—
820Dic79—41no—
821Dic79—41no—
822Dic79—41no—
823#62176—791nomaximal, Sylow
824C2×C79—41no—
825C2×C79—41no—
826C2×C79—81no—
827C2×C79#348911yescharacteristic
828C2×C79#358411yescharacteristic
829C2×C79#358511yescharacteristic
830D79—41no—
831D79—42no—
832D79—81no—
833D79—81no—
834#3565—791no—
835#3513—791no—
836#3388—791no—
837#3380—791no—
838#3370—791no—
839#3365—791no—
840#3355—791no—
841#3353—791no—
842#3352—791no—
843#3348—791no—
844#3345—791no—
845#3337D7911yescharacteristic, complemented
846#3325—791no—
847#3323—791no—
848#3322—791no—
849#3311—791no—
850#3310—791no—
851#3297—791no—
852#3263—791no—
853#3257—791no—
854#3256—791no—
855#3243—791no—
856#3241—791no—
857#3233—791no—
858#3124—791no—
859#3118—791no—
860#3105—791no—
861#3084—791no—
862#3081—791no—
863#3077—791no—
864#2993—791no—
865C79#6217611yescharacteristic, complemented, Sylow
866#563—1581no—
867#562—1581no—
868#559—791no—
869#557—791no—
870#556—791no—
871#556—1581no—
872#555—791no—
873#554—791no—
874#554—791no—
875#553—791no—
876#553—791no—
877#553—1581no—
878#553C2×D7911yescharacteristic
879#552—791no—
880#552—791no—
881#552—1581no—
882#552C2×D7911yescharacteristic, complemented
883#551—1581no—
884#551—1581no—
885#547—791no—
886#546—791no—
887#546—791no—
888#546—1581no—
889D42—791no—
890#544—791no—
891#544—791no—
892#542—791no—
893#542—791no—
894#542—791no—
895#542—1581no—
896#542—1581no—
897#541—1581no—
898#540—791no—
899#539—1581no—
900#539—1581no—
901#538—1581no—
902#533—791no—
903#529—791no—
904#529—791no—
905#529—791no—
906#525—1581no—
907C2×#123—1581no—
908#520—791no—
909#518—791no—
910C2×C4×D4—791no—
911#501—791no—
912#501—791no—
913#500—791no—
914#499—791no—
915#499—791no—
916#499C2×D7911yescharacteristic, complemented
917#490—791no—
918#489—791no—
919#488—791no—
920#488—791no—
921#488—791no—
922#486—791no—
923#485—791no—
924#485—791no—
925#485—791no—
926#485C2×D7911yescharacteristic, complemented
927#484—791no—
928#484—791no—
929#484C2×D7911yescharacteristic, complemented
930#482—791no—
931#482—791no—
932#482—791no—
933#482—791no—
934#482—791no—
935#482C2×D7911yescharacteristic
936#481—791no—
937#481—791no—
938#480—791no—
939#480—791no—
940#480C2×D7911yescharacteristic, complemented
941#479—791no—
942#479—791no—
943#479—791no—
944#479C2×D7911yescharacteristic, complemented
945#478—791no—
946#478—791no—
947#478—791no—
948#478—791no—
949#478—791no—
950#478—791no—
951#478—791no—
952#478—791no—
953#478—791no—
954#478—791no—
955#478—791no—
956#478C2×D7911yescharacteristic, complemented
957#477—791no—
958#476—791no—
959#476—791no—
960#476—791no—
961#476—791no—
962#476—791no—
963#476—791no—
964#475—791no—
965#475—791no—
966#475—791no—
967#474—791no—
968#474—791no—
969#474—791no—
970#474—791no—
971#470—791no—
972#470—791no—
973#469—791no—
974#469—791no—
975#469—791no—
976#468—791no—
977#468—791no—
978#468—791no—
979#466—791no—
980#465—791no—
981#465C2×D7911yescharacteristic
982#465C2×D7911yescharacteristic, complemented
983#464—791no—
984#464—791no—
985#464—791no—
986#463—791no—
987#463—791no—
988#463—791no—
989#463—791no—
990#463—791no—
991#460—791no—
992#459—791no—
993#452—791no—
994#450—791no—
995#450—791no—
996#449—791no—
997#447—791no—
998#447—791no—
999#446—791no—
1000C8×Q8—791no—
1001#442—791no—
1002#440—791no—
1003#440—791no—
1004#440—791no—
1005C4×Q16—791no—
1006C4×SD16—791no—
1007C4×SD16—791no—
1008C4×SD16C2×D7911yescharacteristic, complemented
1009C4×D8—791no—
1010C4×D8—791no—
1011C4×D8—791no—
1012C4×D8—791no—
1013#436—791no—
1014#436—791no—
1015#436—791no—
1016#435—791no—
1017#435—791no—
1018C8×D4C2×D7911yescharacteristic, complemented
1019#433—791no—
1020#433—791no—
1021#431—791no—
1022#428—791no—
1023#428—791no—
1024#428—791no—
1025#428—791no—
1026#427C2×D7911yescharacteristic, complemented
1027C2×#106C2×D7911yescharacteristic, complemented
1028#424—791no—
1029#424—791no—
1030#423—791no—
1031#418—791no—
1032#418—791no—
1033#418—791no—
1034#417—791no—
1035#416—791no—
1036C2×#102—791no—
1037C2×#41—791no—
1038C2×#41—1581no—
1039C22×D4—791no—
1040C22×D4—791no—
1041C22×D4—1581no—
1042C23×C4—1581no—
1043C2×Q16—791no—
1044C2×SD16—791no—
1045C2×SD16—791no—
1046C2×SD16—791no—
1047C2×SD16C22×D7911yescharacteristic
1048C2×D8—791no—
1049C2×D8—791no—
1050C2×D8—791no—
1051C2×M16—791no—
1052C2×M16—791no—
1053C2×M16—791no—
1054C2×M16—791no—
1055C22×C8C22×D7911yescharacteristic
1056C22×C8C22×D7911yescharacteristic
1057C4⋊Q8—791no—
1058C4⋊Q8—791no—
1059C4⋊Q8—791no—
1060C4⋊Q8—791no—
1061C4⋊Q8—791no—
1062C4⋊Q8—1581no—
1063C4⋊Q8—1581no—
1064C4⋊Q8—1581no—
1065#127—791no—
1066#126—21no—
1067#126—21no—
1068#126—791no—
1069#126—791no—
1070#126—1581no—
1071#126—1581no—
1072#126—1581no—
1073#126—1581no—
1074#126—1581no—
1075#126—1581no—
1076#126—1581no—
1077#126—1581no—
1078#126—1581no—
1079#126—1581no—
1080#126—1581no—
1081#125—21no—
1082#125—791no—
1083#125—791no—
1084#125—791no—
1085#125—791no—
1086#125—791no—
1087#125—791no—
1088#125—1581no—
1089#125—1581no—
1090#125—1581no—
1091#125—1581no—
1092#125—1581no—
1093#125—1581no—
1094#125C22×D7911yescharacteristic
1095#125C22×D7911yescharacteristic
1096#124—791no—
1097#124—791no—
1098#124—791no—
1099#124—791no—
1100#124—1581no—
1101#124—1581no—
1102#124—1581no—
1103#124—1581no—
1104#124—1581no—
1105#124—1581no—
1106#124—1581no—
1107#123—21no—
1108#123—21no—
1109#123—791no—
1110#123—791no—
1111#123—1581no—
1112#123—1581no—
1113#123—1581no—
1114#123—1581no—
1115#123—1581no—
1116#123—1581no—
1117#123—1581no—
1118#123—1581no—
1119#123—1581no—
1120#123—1581no—
1121#123—1581no—
1122#123—1581no—
1123#123—1581no—
1124#123—1581no—
1125#123—1581no—
1126#123—1581no—
1127#123—1581no—
1128C22⋊Q8—791no—
1129C22⋊Q8—791no—
1130C22⋊Q8—791no—
1131C22⋊Q8—791no—
1132C22⋊Q8—1581no—
1133C22⋊Q8—1581no—
1134C22⋊Q8—1581no—
1135C22⋊Q8—1581no—
1136C22⋊Q8—1581no—
1137C22⋊Q8—1581no—
1138C22⋊Q8—1581no—
1139C22⋊Q8—1581no—
1140C22⋊Q8—1581no—
1141C22⋊Q8—1581no—
1142C22⋊Q8—1581no—
1143C22⋊Q8—1581no—
1144C22⋊Q8—1581no—
1145C22⋊Q8—1581no—
1146C22⋊Q8—1581no—
1147C22⋊Q8—1581no—
1148C22⋊Q8C22×D7911yescharacteristic
1149C22⋊Q8C22×D7911yescharacteristic
1150#121—21no—
1151#121—791no—
1152#121—791no—
1153#121—791no—
1154#121—791no—
1155#121—791no—
1156#121—791no—
1157#121—1581no—
1158#121—1581no—
1159#121—1581no—
1160#121—1581no—
1161#121—1581no—
1162#121—1581no—
1163#121—1581no—
1164#121—1581no—
1165#121C22×D7911yescharacteristic
1166#121C22×D7911yescharacteristic
1167#120—1581no—
1168#120—1581no—
1169#120—1581no—
1170#120—1581no—
1171C4×Q8—791no—
1172C4×Q8—791no—
1173C4×Q8—791no—
1174C4×Q8—791no—
1175C4×Q8—791no—
1176C4×Q8—1581no—
1177C4×Q8—1581no—
1178C4×Q8—1581no—
1179C4×Q8—1581no—
1180C4×Q8C22×D7911yescharacteristic
1181C4×D4—21no—
1182C4×D4—791no—
1183C4×D4—791no—
1184C4×D4—791no—
1185C4×D4—791no—
1186C4×D4—791no—
1187C4×D4—791no—
1188C4×D4—791no—
1189C4×D4—791no—
1190C4×D4—791no—
1191C4×D4—791no—
1192C4×D4—791no—
1193C4×D4—791no—
1194C4×D4—1581no—
1195C4×D4—1581no—
1196C4×D4—1581no—
1197C4×D4—1581no—
1198C4×D4—1581no—
1199C4×D4—1581no—
1200C4×D4—1581no—
1201C4×D4—1581no—
1202C4×D4—1581no—
1203C4×D4—1581no—
1204C4×D4—1581no—
1205C4×D4C22×D7911yescharacteristic
1206C4×D4C22×D7911yescharacteristic
1207#117—21no—
1208#117—791no—
1209#117—791no—
1210#117—791no—
1211#117—791no—
1212#117—791no—
1213#117—1581no—
1214#117—1581no—
1215#117—1581no—
1216#117—1581no—
1217#117—1581no—
1218#117—1581no—
1219#117C22×D7911yescharacteristic
1220#117C22×D7911yescharacteristic
1221C2×C4⋊C4—791no—
1222C2×C4⋊C4—791no—
1223C2×C4⋊C4—1581no—
1224C2×C4⋊C4—1581no—
1225C2×C4⋊C4—1581no—
1226C2×C4⋊C4C22×D7911yescharacteristic
1227C2×C4⋊C4C22×D7911yescharacteristic
1228C2×C22⋊C4—1581no—
1229C2×C22⋊C4—1581no—
1230C2×C22⋊C4—1581no—
1231C2×C22⋊C4—1581no—
1232C2×C22⋊C4—1581no—
1233C2×C42—791no—
1234#107—791no—
1235#107—791no—
1236#107—791no—
1237#107—791no—
1238#107—791no—
1239#107—791no—
1240#107—791no—
1241#107—791no—
1242#107C22×D7911yescharacteristic
1243#107C22×D7911yescharacteristic
1244#107C22×D7911yescharacteristic
1245#107C22×D7911yescharacteristic
1246#106—791no—
1247#106—791no—
1248#106—791no—
1249#106—791no—
1250#106—791no—
1251#106—791no—
1252#106—791no—
1253#106C22×D7911yescharacteristic
1254#106C22×D7911yescharacteristic
1255#106C22×D7911yescharacteristic
1256#106C22×D7911yescharacteristic
1257#106C22×D7911yescharacteristic
1258C4⋊C8—791no—
1259C4⋊C8—791no—
1260C4⋊C8—791no—
1261C4⋊C8—791no—
1262C4⋊C8—791no—
1263C4⋊C8—791no—
1264C4⋊C8—791no—
1265C4⋊C8—791no—
1266C4⋊C8—791no—
1267C4⋊C8C22×D7911yescharacteristic
1268#103—791no—
1269#103—791no—
1270#103—791no—
1271#103—791no—
1272#103—791no—
1273#103—791no—
1274#103—791no—
1275#103C22×D7911yescharacteristic
1276#103C22×D7911yescharacteristic
1277#103C22×D7911yescharacteristic
1278#102—791no—
1279#102—791no—
1280#102—791no—
1281#102—791no—
1282#102—791no—
1283#102—791no—
1284#102—791no—
1285#102—791no—
1286#102—791no—
1287#102—791no—
1288#102—791no—
1289#102—791no—
1290#102—791no—
1291#102—791no—
1292#102—791no—
1293#102—791no—
1294#102—791no—
1295#102—791no—
1296#102—791no—
1297#102C22×D7911yescharacteristic
1298#102C22×D7911yescharacteristic
1299#102C22×D7911yescharacteristic
1300C22⋊C8—791no—
1301C22⋊C8—791no—
1302C22⋊C8—791no—
1303C22⋊C8—791no—
1304C22⋊C8C22×D7911yescharacteristic
1305C22⋊C8C22×D7911yescharacteristic
1306#97—791no—
1307#97—791no—
1308C4×C8—791no—
1309C4×C8—791no—
1310C4×C8—791no—
1311C4×C8C22×D7911yescharacteristic
1312C24—1581no—
1313C24—1581no—
1314#41—3161no—
1315#41—6322no—
1316#41—1582no—
1317C2×Q8—791no—
1318C2×Q8—791no—
1319C2×Q8—1581no—
1320C2×Q8—1581no—
1321C2×Q8—1581no—
1322C2×Q8—1581no—
1323C2×Q8—1581no—
1324C2×Q8C23×D7911yescharacteristic
1325C2×D4—21no—
1326C2×D4—21no—
1327C2×D4—3161no—
1328C2×D4—3161no—
1329C2×D4—791no—
1330C2×D4—791no—
1331C2×D4—791no—
1332C2×D4—791no—
1333C2×D4—791no—
1334C2×D4—6322no—
1335C2×D4—1581no—
1336C2×D4—1582no—
1337C2×D4—1581no—
1338C2×D4—1581no—
1339C2×D4—1581no—
1340C2×D4—1581no—
1341C2×D4—1582no—
1342C2×D4—1581no—
1343C2×D4—1581no—
1344C2×D4—1581no—
1345C2×D4—1581no—
1346C2×D4—1581no—
1347C2×D4D4×D7911yescharacteristic
1348C2×D4C23×D7911yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—791no—
1353C22×C4—791no—
1354C22×C4—791no—
1355C22×C4—6322no—
1356C22×C4—1581no—
1357C22×C4—1581no—
1358C22×C4—1581no—
1359C22×C4—1581no—
1360C22×C4—1581no—
1361C22×C4—1581no—
1362C22×C4—1581no—
1363C22×C4—1581no—
1364C22×C4—1581no—
1365C22×C4—1581no—
1366C22×C4—1581no—
1367C22×C4—1581no—
1368C22×C4—1581no—
1369C22×C4C23×D7911yescharacteristic
1370C22×C4C23×D7911yescharacteristic
1371Q16—3161no—
1372SD16—41no—
1373SD16—3161no—
1374SD16—3161no—
1375SD16—1582no—
1376D8—3161no—
1377D8—3161no—
1378D8—1582no—
1379M16—3161no—
1380M16—3161no—
1381M16—3161no—
1382M16—3161no—
1383C2×C8—41no—
1384C2×C8—41no—
1385C2×C8—791no—
1386C2×C8—791no—
1387C2×C8—791no—
1388C2×C8—791no—
1389C2×C8C23×D7911yescharacteristic
1390C2×C8C23×D7911yescharacteristic
1391C2×C8C23×D7911yescharacteristic
1392C2×C8C23×D7911yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—791no—
1403C4⋊C4—791no—
1404C4⋊C4—791no—
1405C4⋊C4—791no—
1406C4⋊C4—791no—
1407C4⋊C4—791no—
1408C4⋊C4—791no—
1409C4⋊C4—791no—
1410C4⋊C4—791no—
1411C4⋊C4—791no—
1412C4⋊C4—791no—
1413C4⋊C4—791no—
1414C4⋊C4—791no—
1415C4⋊C4—1581no—
1416C4⋊C4—1581no—
1417C4⋊C4—1581no—
1418C4⋊C4—1581no—
1419C4⋊C4—1581no—
1420C4⋊C4—1581no—
1421C4⋊C4—1581no—
1422C4⋊C4—1581no—
1423C4⋊C4—1581no—
1424C4⋊C4—1581no—
1425C4⋊C4—1581no—
1426C4⋊C4—1581no—
1427C4⋊C4—1581no—
1428C4⋊C4—1581no—
1429C4⋊C4—1581no—
1430C4⋊C4—1581no—
1431C4⋊C4—1581no—
1432C4⋊C4—1581no—
1433C4⋊C4—1581no—
1434C4⋊C4—1581no—
1435C4⋊C4—1581no—
1436C4⋊C4—1581no—
1437C4⋊C4—1581no—
1438C4⋊C4—1581no—
1439C4⋊C4D4×D7911yescharacteristic
1440C4⋊C4C23×D7911yescharacteristic
1441C4⋊C4C23×D7911yescharacteristic
1442C4⋊C4C23×D7911yescharacteristic
1443C4⋊C4C23×D7911yescharacteristic
1444C4⋊C4C23×D7911yescharacteristic
1445C4⋊C4C23×D7911yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—791no—
1454C22⋊C4—791no—
1455C22⋊C4—791no—
1456C22⋊C4—791no—
1457C22⋊C4—791no—
1458C22⋊C4—791no—
1459C22⋊C4—791no—
1460C22⋊C4—791no—
1461C22⋊C4—1581no—
1462C22⋊C4—1581no—
1463C22⋊C4—1581no—
1464C22⋊C4—1581no—
1465C22⋊C4—1581no—
1466C22⋊C4—1581no—
1467C22⋊C4—1581no—
1468C22⋊C4—1581no—
1469C22⋊C4—1581no—
1470C22⋊C4—1581no—
1471C22⋊C4—1581no—
1472C22⋊C4—1581no—
1473C22⋊C4—1581no—
1474C22⋊C4—1581no—
1475C22⋊C4—1581no—
1476C22⋊C4—1581no—
1477C22⋊C4—1581no—
1478C22⋊C4—1581no—
1479C22⋊C4—1581no—
1480C22⋊C4—1581no—
1481C22⋊C4—1581no—
1482C22⋊C4—1581no—
1483C22⋊C4—1581no—
1484C22⋊C4—1581no—
1485C22⋊C4—1581no—
1486C22⋊C4—1581no—
1487C22⋊C4—1581no—
1488C22⋊C4D4×D7911yescharacteristic
1489C22⋊C4D4×D7911yescharacteristic
1490C42—21no—
1491C42—21no—
1492C42—21no—
1493C42—791no—
1494C42—791no—
1495C42—791no—
1496C42—791no—
1497C42—791no—
1498C42—1581no—
1499C42—1581no—
1500C42—1581no—
1501C42—1581no—
1502C42—1581no—
1503C42—1581no—
1504C42—1581no—
1505C42C23×D7911yescharacteristic
1506C23—21no—
1507C23—3162no—
1508C23—3162no—
1509C23—3162no—
1510C23—791no—
1511C23—6321no—
1512C23—6321no—
1513C23—6321no—
1514C23—1581no—
1515C23—1581no—
1516C23—1581no—
1517C23C2×D4×D7911yescharacteristic
1518C23C2×D4×D7911yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—3161no—
1522Q8—6321no—
1523Q8—6321no—
1524Q8—6321no—
1525Q8—6321no—
1526Q8—6321no—
1527Q8—1581no—
1528Q8—1581no—
1529D4—21no—
1530D4—21no—
1531D4—41no—
1532D4—81no—
1533D4—81no—
1534D4—3162no—
1535D4—3162no—
1536D4—3162no—
1537D4—3161no—
1538D4—3161no—
1539D4—3162no—
1540D4—792no—
1541D4—6321no—
1542D4—6321no—
1543D4—6321no—
1544D4—6321no—
1545D4—6321no—
1546D4—6321no—
1547D4—1581no—
1548D4—1581no—
1549D4—1581no—
1550D4—1581no—
1551D4—1581no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—81no—
1564C2×C4—81no—
1565C2×C4—81no—
1566C2×C4—3162no—
1567C2×C4—3161no—
1568C2×C4—3161no—
1569C2×C4—3162no—
1570C2×C4—791no—
1571C2×C4—791no—
1572C2×C4—791no—
1573C2×C4—791no—
1574C2×C4—791no—
1575C2×C4—791no—
1576C2×C4—791no—
1577C2×C4—6321no—
1578C2×C4—6321no—
1579C2×C4—6321no—
1580C2×C4—6321no—
1581C2×C4—6321no—
1582C2×C4—6321no—
1583C2×C4—6321no—
1584C2×C4—6321no—
1585C2×C4—6321no—
1586C2×C4—6321no—
1587C2×C4—6321no—
1588C2×C4—1581no—
1589C2×C4—1581no—
1590C2×C4—1581no—
1591C2×C4—1581no—
1592C2×C4—1581no—
1593C2×C4—1581no—
1594C2×C4—1581no—
1595C2×C4C2×D4×D7911yescharacteristic
1596C2×C4C2×D4×D7911yescharacteristic
1597C2×C4C2×D4×D7911yescharacteristic
1598C2×C4C2×D4×D7911yescharacteristic
1599C2×C4C24×D7911yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—1581no—
1605C8—1581no—
1606C8—1581no—
1607C8—1581no—
1608C22—21no—
1609C22—21no—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—3161no—
1618C22—3161no—
1619C22—3161no—
1620C22—3161no—
1621C22—3161no—
1622C22—3161no—
1623C22—3161no—
1624C22—3161no—
1625C22—6324no—
1626C22—1582no—
1627C22—1581no—
1628C22—1581no—
1629C22—1581no—
1630C22—12642no—
1631C22C22×D4×D7911yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—3161no—
1644C4—3161no—
1645C4—3161no—
1646C4—3161no—
1647C4—3161no—
1648C4—1581no—
1649C4—1581no—
1650C4—1581no—
1651C4—1581no—
1652C4—1581no—
1653C4—1581no—
1654C4—1581no—
1655C42−1+4×D7911yescharacteristic
1656C4#1909939911yescharacteristic
1657C2—41no—
1658C2—41no—
1659C2—81no—
1660C2—3162no—
1661C2—3161no—
1662C2—6321no—
1663C2—6321no—
1664C2#2377707411yescharacteristic
1665C2#2377816911yescharacteristic
1666C2#2377817811yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3337C2
socleC22×C79C23×D4
hypercenter#3337D79
hypocenterC79#62176
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3337

Complements

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

NH ≅ G/Ntype
1. #23778048C2semidirect
2. #23777347C2semidirect
3. #23776343C2semidirect
4. #23776264C2semidirect
5. #23776151C2semidirect
6. #23776097C2semidirect
7. #23776000C2semidirect
8. #23775977C2semidirect
9. #23775968C2semidirect
10. #23775911C2semidirect
11. #23775866C2semidirect
12. #23775640C2semidirect
13. #23775610C2semidirect
14. #23775604C2semidirect
15. #23775442C2semidirect
16. #23775427C2semidirect
17. #23775252C2semidirect
18. #23774864C2semidirect
19. #23774814C2semidirect
20. #23774803C2semidirect
21. #23774681C2semidirect
22. #23774649C2semidirect
23. #23774580C2semidirect
24. #23773665C2semidirect
25. #23773587C2semidirect
26. #23773451C2semidirect
27. #23773267C2semidirect
28. #23773234C2semidirect
29. #23773195C2semidirect
30. #23772550C2semidirect
31. C79×#3337C2semidirect
35. #19099289C22semidirect
36. #19099284C22semidirect
40. #19099269C22semidirect
42. #19099261C22semidirect
43. #19099259C22semidirect
54. #19099194C22semidirect
55. #19099191C22semidirect
56. #19099186C22semidirect
57. #19099186C22semidirect
66. #19099119C22semidirect
67. #19099100C22semidirect
75. #19098971C22semidirect
76. #19098970C22semidirect
77. #19098967C22semidirect
78. #19098964C22semidirect
79. #19098962C22semidirect
81. #19098921C22semidirect
82. #19098920C22semidirect
83. #19098918C22semidirect
84. #19098916C22semidirect
86. #19098907C22semidirect
87. #19098906C22semidirect
88. #19098904C22semidirect
89. #19098899C22semidirect
90. #19098897C22semidirect
93. #19098888C22semidirect
94. #19098887C22semidirect
95. #19098884C22semidirect
96. #19098883C22semidirect
97. #19098881C22semidirect
98. #19098876C22semidirect
100. #19098873C22semidirect
101. #19098873C22semidirect
102. #19098872C22semidirect
104. #19098866C22semidirect
106. #19098863C22semidirect
109. #19098862C22semidirect
110. #19098862C22semidirect
111. #19098861C22semidirect
113. #19098860C22semidirect
114. #19098857C22semidirect
118. #19098852C22semidirect
119. #19098852C22semidirect
120. #19098851C22semidirect
121. #19098847C22semidirect
122. #19098847C22semidirect
123. #19098846C22semidirect
125. #19098842C22semidirect
126. #19098842C22semidirect
127. #19098841C22semidirect
128. #19098820C22semidirect
129. #19098819C22semidirect
132. #19098814C22semidirect
134. #19098811C22semidirect
135. #19098810C22semidirect
136. #19098799C22semidirect
137. #19098792C22semidirect
138. #19098788C22semidirect
139. #19098785C22semidirect
140. #19098783C22semidirect
142. #19098781C22semidirect
143. #19098780C22semidirect
144. #19098779C22semidirect
145. #19098777C22semidirect
154. #19098690C22semidirect
155. C8×Dic158C22semidirect
156. #19098674C22semidirect
159. #19098662C22semidirect
160. #19098655C22semidirect
162. #19098648C22semidirect
166. C4×#11929609C22semidirect
167. #19098641C22semidirect
169. #19098638C22semidirect
171. #19098634C22semidirect
172. #19098621C22semidirect
173. #19098621C22semidirect
174. #19098614C22semidirect
175. #19098606C22semidirect
176. #19098604C22semidirect
177. #19098603C22semidirect
178. #19098602C22semidirect
179. #19098589C22semidirect
180. #19098589C22semidirect
181. #19098585C22semidirect
189. #552×C79C22semidirect
190. #499×C79C22semidirect
191. #485×C79C22semidirect
192. #484×C79C22semidirect
194. #480×C79C22semidirect
195. #479×C79C22semidirect
196. #478×C79C22semidirect
198. #465×C79C22semidirect
199. C4×SD16×C79C22semidirect
200. C8×D4×C79C22semidirect
201. #427×C79C22semidirect
202. C2×#106×C79C22semidirect
845. #3337D79semidirect
865. C79#62176semidirect
882. #552C2×D79semidirect
916. #499C2×D79semidirect
926. #485C2×D79semidirect
929. #484C2×D79semidirect
940. #480C2×D79semidirect
944. #479C2×D79semidirect
956. #478C2×D79semidirect
982. #465C2×D79semidirect
1008. C4×SD16C2×D79semidirect
1018. C8×D4C2×D79semidirect
1026. #427C2×D79semidirect
1027. C2×#106C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237780482
#237773472
#237763432
#237762642
#237761512
#237760972
#237760002
#237759772
#237759682
#237759112
#237758662
#237756402
#237756102
#237756042
#237754422
#237754272
#237752522
#237748642
#237748142
#237748032
#237746812
#237746492
#237745802
#237736652
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