Finite Group Databasebeta

← #35185497

Subgroups — #35185497

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#23778050C211yesmaximal, characteristic, complemented
2#23777335C211yesmaximal, characteristic, complemented
3#23776353C211yesmaximal, characteristic, complemented
4#23776280C211yesmaximal, characteristic, complemented
5#23776175C211yesmaximal, characteristic, complemented
6#23776061C211yesmaximal, characteristic, complemented
7#23775964C211yesmaximal, characteristic, complemented
8#23775961C211yesmaximal, characteristic, complemented
9#23775931C211yesmaximal, characteristic, complemented
10#23775834C211yesmaximal, characteristic, complemented
11#23775800C211yesmaximal, characteristic, complemented
12#23775629C211yesmaximal, characteristic, complemented
13#23775618C211yesmaximal, characteristic, complemented
14#23775596C211yesmaximal, characteristic, complemented
15#23775550C211yesmaximal, characteristic, complemented
16#23775536C211yesmaximal, characteristic, complemented
17#23775238C211yesmaximal, characteristic, complemented
18#23774860C211yesmaximal, characteristic, complemented
19#23774812C211yesmaximal, characteristic, complemented
20#23774795C211yesmaximal, characteristic, complemented
21#23774701C211yesmaximal, characteristic, complemented
22#23774651C211yesmaximal, characteristic, complemented
23#23774576C211yesmaximal, characteristic, complemented
24#23773680C211yesmaximal, characteristic, complemented
25#23773580C211yesmaximal, characteristic, complemented
26#23773444C211yesmaximal, characteristic, complemented
27#23773250C211yesmaximal, characteristic, complemented
28#23773226C211yesmaximal, characteristic, complemented
29#23773196C211yesmaximal, characteristic, complemented
30#23772546C211yesmaximal, characteristic, complemented
31C79×#3354C211yesmaximal, characteristic, complemented
32#19099313—21no—
33#19099308—21no—
34#19099296C2211yescharacteristic
35#19099288C2211yescharacteristic, complemented
36#19099282—21no—
37#19099281C2211yescharacteristic
38#19099274C2211yescharacteristic
39#19099272C2211yescharacteristic, complemented
40#19099265C2211yescharacteristic, complemented
41#19099261C2211yescharacteristic
42#19099260C2211yescharacteristic
43#19099258—21no—
44#19099253C2211yescharacteristic, complemented
45#19099252C2211yescharacteristic, complemented
46#19099248C2211yescharacteristic
47#19099246—21no—
48#19099240—21no—
49#19099236—21no—
50#19099210C2211yescharacteristic
51#19099209C2211yescharacteristic
52#19099201—21no—
53#19099197C2211yescharacteristic
54#19099191C2211yescharacteristic, complemented
55#19099190C2211yescharacteristic, complemented
56#19099187C2211yescharacteristic
57#19099182—21no—
58#19099180C2211yescharacteristic, complemented
59#19099178C2211yescharacteristic, complemented
60#19099177—21no—
61#19099175—21no—
62#19099166C2211yescharacteristic
63#19099159—21no—
64#19099158—21no—
65#19099149—21no—
66#19099116C2211yescharacteristic, complemented
67#19099094C2211yescharacteristic
68#19099094C2211yescharacteristic, complemented
69#19099093C2211yescharacteristic
70#19099070—21no—
71#123×D79—21no—
72#19099044C2211yescharacteristic
73#19099035C2211yescharacteristic
74C2×#14579123C2211yescharacteristic
75#19098971C2211yescharacteristic, complemented
76#19098969C2211yescharacteristic, complemented
77#19098964C2211yescharacteristic, complemented
78#19098963C2211yescharacteristic, complemented
79#19098963C2211yescharacteristic, complemented
80#19098926C2211yescharacteristic
81#19098925C2211yescharacteristic, complemented
82#19098918C2211yescharacteristic, complemented
83#19098916C2211yescharacteristic, complemented
84#19098916C2211yescharacteristic, complemented
85#19098908C2211yescharacteristic
86#19098907C2211yescharacteristic, complemented
87#19098906C2211yescharacteristic, complemented
88#19098905C2211yescharacteristic, complemented
89#19098904C2211yescharacteristic, complemented
90#19098898C2211yescharacteristic, complemented
91#19098895C2211yescharacteristic, complemented
92#19098893C2211yescharacteristic, complemented
93#19098889C2211yescharacteristic
94#19098887C2211yescharacteristic, complemented
95#19098886C2211yescharacteristic, complemented
96#19098884C2211yescharacteristic
97#19098883C2211yescharacteristic
98#19098882C2211yescharacteristic, complemented
99#19098874C2211yescharacteristic, complemented
100#19098873C2211yescharacteristic, complemented
101#19098873C2211yescharacteristic, complemented
102#19098873C2211yescharacteristic, complemented
103#19098873C2211yescharacteristic, complemented
104#19098866C2211yescharacteristic
105#19098866C2211yescharacteristic, complemented
106#19098865C2211yescharacteristic, complemented
107#19098865C2211yescharacteristic, complemented
108#19098864C2211yescharacteristic
109#19098863C2211yescharacteristic, complemented
110#19098862C2211yescharacteristic
111#19098862C2211yescharacteristic
112#19098862C2211yescharacteristic
113#19098862C2211yescharacteristic, complemented
114#19098862C2211yescharacteristic, complemented
115#19098861C2211yescharacteristic, complemented
116#19098857C2211yescharacteristic, complemented
117#19098857C2211yescharacteristic, complemented
118#19098855C2211yescharacteristic, complemented
119#19098852C2211yescharacteristic
120#19098852C2211yescharacteristic, complemented
121#19098851C2211yescharacteristic, complemented
122#19098847C2211yescharacteristic, complemented
123#19098842C2211yescharacteristic
124#19098842C2211yescharacteristic
125#19098842C2211yescharacteristic, complemented
126#19098841C2211yescharacteristic, complemented
127#19098840C2211yescharacteristic
128#19098821C2211yescharacteristic, complemented
129#19098810C2211yescharacteristic
130#19098809C2211yescharacteristic, complemented
131#19098808C2211yescharacteristic, complemented
132#19098807C2211yescharacteristic
133#19098807C2211yescharacteristic, complemented
134#19098805C2211yescharacteristic, complemented
135#19098798C2211yescharacteristic
136#19098797C2211yescharacteristic, complemented
137#19098790C2211yescharacteristic, complemented
138#19098786C2211yescharacteristic, complemented
139#19098784C2211yescharacteristic, complemented
140#19098784C2211yescharacteristic, complemented
141#19098778C2211yescharacteristic, complemented
142#19098777C2211yescharacteristic
143#19098777C2211yescharacteristic, complemented
144#19098776C2211yescharacteristic, complemented
145#19098776C2211yescharacteristic, complemented
146#19098762C2211yescharacteristic
147#19098756C2211yescharacteristic
148#19098727C2211yescharacteristic
149#19098716C2211yescharacteristic
150#19098715C2211yescharacteristic
151#19098706C2211yescharacteristic
152#19098696C2211yescharacteristic
153#19098695C2211yescharacteristic
154#19098692C2211yescharacteristic, complemented
155C8×Dic158C2211yescharacteristic, complemented
156#19098673C2211yescharacteristic
157#19098672C2211yescharacteristic
158#19098669C2211yescharacteristic, complemented
159#19098663C2211yescharacteristic, complemented
160#19098654C2211yescharacteristic, complemented
161C4×#11929613C2211yescharacteristic
162#19098650C2211yescharacteristic
163#19098650C2211yescharacteristic
164#19098650C2211yescharacteristic, complemented
165#19098643C2211yescharacteristic
166#19098643C2211yescharacteristic, complemented
167#19098639C2211yescharacteristic, complemented
168#19098638C2211yescharacteristic
169#19098635C2211yescharacteristic, complemented
170#19098632C2211yescharacteristic
171(C22⋊D79)⋊C8C2211yescharacteristic, complemented
172#19098622C2211yescharacteristic, complemented
173#19098621C2211yescharacteristic, complemented
174#19098613C2211yescharacteristic, complemented
175#19098603C2211yescharacteristic, complemented
176#19098602C2211yescharacteristic, complemented
177#19098598C2211yescharacteristic, complemented
178C2×#14579094C2211yescharacteristic, complemented
179#19098591C2211yescharacteristic, complemented
180#19098588C2211yescharacteristic, complemented
181#19098586C2211yescharacteristic, complemented
182#19098569C2211yescharacteristic
183#19098567C2211yescharacteristic
184#19098566C2211yescharacteristic
185#19098565C2211yescharacteristic
186#19098557C2211yescharacteristic
187#102×D79C2211yescharacteristic
188#555×C79C2211yescharacteristic, complemented
189#547×C79C2211yescharacteristic
190#498×C79C2211yescharacteristic, complemented
191#482×C79C2211yescharacteristic
192#482×C79C2211yescharacteristic, complemented
193#481×C79C2211yescharacteristic, complemented
194#481×C79C2211yescharacteristic, complemented
195#476×C79C2211yescharacteristic, complemented
196#474×C79C2211yescharacteristic, complemented
197#469×C79C2211yescharacteristic
198#469×C79C2211yescharacteristic, complemented
199C4×D8×C79C2211yescharacteristic, complemented
200#436×C79C2211yescharacteristic, complemented
201#428×C79C2211yescharacteristic, complemented
202#428×C79C2211yescharacteristic, complemented
203C2×#11929624C2311yescharacteristic
204C22×D316C2311yescharacteristic
205C2×D4×D79—21no—
206C2×D4×D79C2311yescharacteristic
207C22×C4×D79—21no—
208C2×Dic316C2311yescharacteristic
209C2×#11929613C2311yescharacteristic
210C2×#11929613C2311yescharacteristic
211C2×#11929612C2311yescharacteristic
212C2×#11929612C2311yescharacteristic
213C2×#11929609C2311yescharacteristic
214C2×#11929609C2311yescharacteristic
215C2×#11929608C2311yescharacteristic
216C2×#11929607C2311yescharacteristic
217C22×C79⋊C8C2311yescharacteristic
218C2×C8×D79C2311yescharacteristic
219#14579161—21no—
220#14579160C2311yescharacteristic
221#14579160C2311yescharacteristic
222#14579160C2311yescharacteristic
223#14579159—21no—
224#14579159—21no—
225#14579157C2311yescharacteristic
226#14579156—21no—
227#14579156—21no—
228#14579156—21no—
229#14579156D411yescharacteristic
230#14579155—21no—
231#14579154—21no—
232#14579154—21no—
233#14579154—21no—
234#14579154—21no—
235#14579154—21no—
236#14579154—21no—
237#14579154—21no—
238#14579154—21no—
239#14579154—21no—
240#14579154D411yescharacteristic
241#14579153—21no—
242#14579153—21no—
243#14579153C2311yescharacteristic
244#14579152C2311yescharacteristic
245#14579152C2311yescharacteristic
246#14579152C2311yescharacteristic
247#14579152C2311yescharacteristic
248#14579152C2311yescharacteristic
249#14579152C2311yescharacteristic
250#14579151—21no—
251#14579151—21no—
252#14579151—21no—
253#14579151—21no—
254#14579151—21no—
255#14579151D411yescharacteristic
256#14579150—21no—
257#14579149C2311yescharacteristic
258#14579148—21no—
259#14579148C2311yescharacteristic
260#14579148C2311yescharacteristic
261#14579147—21no—
262#14579147—21no—
263#14579147—21no—
264#14579147D411yescharacteristic
265#14579146—21no—
266#14579146—21no—
267#14579146—21no—
268#14579145—21no—
269#14579145—21no—
270#14579145D411yescharacteristic
271#14579144—21no—
272#14579144—21no—
273#14579144—21no—
274#14579143—21no—
275#14579143—21no—
276#14579143—21no—
277#14579143—21no—
278#14579142—21no—
279#14579142—21no—
280#14579142—21no—
281#14579142—21no—
282#14579142—21no—
283#14579142D411yescharacteristic
284#14579141—21no—
285#14579141C2311yescharacteristic
286#14579141C2311yescharacteristic
287#14579140—21no—
288#14579140—21no—
289#14579140C2311yescharacteristic
290#14579140C2311yescharacteristic
291#14579140C2311yescharacteristic
292#14579139—21no—
293#14579138—21no—
294#14579138—21no—
295#14579138—21no—
296#14579138—21no—
297#14579138—21no—
298#14579138—21no—
299#14579138—21no—
300#14579138D411yescharacteristic
301#14579137—21no—
302#14579137—21no—
303#14579137—21no—
304#14579137—21no—
305#14579136C2311yescharacteristic
306#14579135—21no—
307#14579135C2311yescharacteristic
308#14579134—21no—
309#14579134—21no—
310#14579133—21no—
311#14579133—21no—
312#14579133D411yescharacteristic
313#14579132—21no—
314#14579132—21no—
315#14579132—21no—
316#14579132C2311yescharacteristic
317#14579131—21no—
318#14579129—21no—
319#14579129—21no—
320#14579129—21no—
321Q8×Dic79—21no—
322C4×Dic158—21no—
323C4×Dic158—21no—
324C4×Dic158—21no—
325C4×Dic158C2311yescharacteristic
326C4×Dic158C2311yescharacteristic
327#14579126C2311yescharacteristic
328#14579126C2311yescharacteristic
329#14579126C2311yescharacteristic
330#14579126C2311yescharacteristic
331C4×D316C2311yescharacteristic
332D4×Dic79—21no—
333D4×Dic79—21no—
334D4×Dic79—21no—
335D4×Dic79C2311yescharacteristic
336D4×Dic79C2311yescharacteristic
337D4×Dic79C2311yescharacteristic
338#14579123—21no—
339#14579123—21no—
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#14579120—21no—
355#14579120C2311yescharacteristic
356#14579120C2311yescharacteristic
357#14579119—21no—
358#14579119C2311yescharacteristic
359#14579119C2311yescharacteristic
360#14579118—21no—
361#14579118C2311yescharacteristic
362#14579117—21no—
363#14579117—21no—
364#14579117—21no—
365C2×C4⋊Dic79C2311yescharacteristic
366C2×Dic79⋊C4—21no—
367C4⋊C4×D79—21no—
368C4⋊C4×D79—21no—
369C4⋊C4×D79C2311yescharacteristic
370C2×(C2×D79)⋊C4—21no—
371C2×(C2×D79)⋊C4—21no—
372C22⋊C4×D79—21no—
373C22⋊C4×D79—21no—
374C22⋊C4×D79—21no—
375C2×C4×Dic79C2311yescharacteristic
376#14579095C2311yescharacteristic
377#14579094C2311yescharacteristic
378#14579094C2311yescharacteristic
379#14579094C2311yescharacteristic
380#14579094C2311yescharacteristic
381#14579094C2311yescharacteristic
382#14579094C2311yescharacteristic
383#14579094C2311yescharacteristic
384#14579094C2311yescharacteristic
385#14579093C2311yescharacteristic
386#14579093C2311yescharacteristic
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#14579086C2311yescharacteristic
404#14579084C2311yescharacteristic
405#14579084C2311yescharacteristic
406#14579084C2311yescharacteristic
407#14579084C2311yescharacteristic
408#14579084C2311yescharacteristic
409#14579084C2311yescharacteristic
410#14579083C2311yescharacteristic
411#14579083C2311yescharacteristic
412#14579083C2311yescharacteristic
413#14579083C2311yescharacteristic
414#14579083C2311yescharacteristic
415#14579083C2311yescharacteristic
416#14579082C2311yescharacteristic
417#14579082C2311yescharacteristic
418#14579082C2311yescharacteristic
419#14579082C2311yescharacteristic
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#14579072C2311yescharacteristic
431#14579071C2311yescharacteristic
432C8×Dic79C2311yescharacteristic
433C8×Dic79C2311yescharacteristic
434C8×Dic79C2311yescharacteristic
435C2×#41×C79—21no—
436C2×D8×C79C2311yescharacteristic
437C2×M16×C79C2311yescharacteristic
438C2×M16×C79C2311yescharacteristic
439C4⋊Q8×C79C2311yescharacteristic
440C4⋊Q8×C79C2311yescharacteristic
441#124×C79—21no—
442#124×C79—21no—
443#123×C79—21no—
444#123×C79—21no—
445C22⋊Q8×C79—21no—
446#121×C79—21no—
447#121×C79C2311yescharacteristic
448#121×C79C2311yescharacteristic
449#121×C79C2311yescharacteristic
450#121×C79C2311yescharacteristic
451C4×D4×C79C2311yescharacteristic
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#106×C79C2311yescharacteristic
463#106×C79C2311yescharacteristic
464#106×C79C2311yescharacteristic
465#106×C79C2311yescharacteristic
466#106×C79C2311yescharacteristic
467#106×C79C2311yescharacteristic
468C4⋊C8×C79C2311yescharacteristic
469#102×C79C2311yescharacteristic
470#102×C79C2311yescharacteristic
471#102×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—
482C2×Dic158—21no—
483C2×Dic158—21no—
484C2×Dic158—21no—
485C2×Dic158C2×D411yescharacteristic
486C2×Dic158C2411yescharacteristic
487C2×Dic158C2411yescharacteristic
488C2×D316—21no—
489C2×D316—22no—
490C2×D316—21no—
491C2×D316—41no—
492C2×D316C2411yescharacteristic
493C2×D316C2411yescharacteristic
494C2×C22⋊D79—21no—
495C2×C22⋊D79—21no—
496C2×C22⋊D79—21no—
497C2×C22⋊D79—21no—
498C2×C22⋊D79—21no—
499C2×C22⋊D79—21no—
500C2×C22⋊D79C2×D411yescharacteristic
501C2×C22⋊D79C2×D411yescharacteristic
502D4×D79—22no—
503D4×D79—41no—
504D4×D79—82no—
505C22×Dic79—21no—
506C22×Dic79—21no—
507C22×Dic79—21no—
508C22×Dic79—21no—
509C22×Dic79C2×D411yescharacteristic
510C22×Dic79C2×D411yescharacteristic
511C2×C4×D79—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—82no—
520C2×C4×D79C2411yescharacteristic
521Dic316—41no—
522#11929613—22no—
523#11929613—41no—
524#11929612—41no—
525#11929612—41no—
526#11929609—22no—
527#11929609—41no—
528#11929608—41no—
529#11929607—41no—
530C2×C79⋊C8—41no—
531C2×C79⋊C8C2411yescharacteristic
532C2×C79⋊C8C2411yescharacteristic
533C2×C79⋊C8C2411yescharacteristic
534C2×C79⋊C8C2411yescharacteristic
535C8×D79—41no—
536C4⋊Dic79—21no—
537C4⋊Dic79—21no—
538C4⋊Dic79—21no—
539C4⋊Dic79—21no—
540C4⋊Dic79—21no—
541C4⋊Dic79—21no—
542C4⋊Dic79—21no—
543C4⋊Dic79—21no—
544C4⋊Dic79—21no—
545C4⋊Dic79C2×D411yescharacteristic
546C4⋊Dic79C2×D411yescharacteristic
547C4⋊Dic79C2×D411yescharacteristic
548C4⋊Dic79C2411yescharacteristic
549C4⋊Dic79C2411yescharacteristic
550C4⋊Dic79C2411yescharacteristic
551C4⋊Dic79C2411yescharacteristic
552Dic79⋊C4—21no—
553Dic79⋊C4—21no—
554Dic79⋊C4—21no—
555Dic79⋊C4—21no—
556Dic79⋊C4—21no—
557Dic79⋊C4—21no—
558Dic79⋊C4—21no—
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⋊C4C2×D411yescharacteristic
573Dic79⋊C4C2×D411yescharacteristic
574Dic79⋊C4C2×D411yescharacteristic
575Dic79⋊C4C2×D411yescharacteristic
576Dic79⋊C4C2×D411yescharacteristic
577Dic79⋊C4C2×D411yescharacteristic
578C22⋊Dic79—21no—
579C22⋊Dic79—21no—
580C22⋊Dic79—21no—
581C22⋊Dic79—21no—
582C22⋊Dic79—21no—
583C22⋊Dic79—21no—
584C22⋊Dic79—21no—
585C22⋊Dic79—21no—
586C22⋊Dic79—21no—
587C22⋊Dic79—21no—
588C22⋊Dic79—21no—
589C22⋊Dic79—21no—
590C22⋊Dic79C2×D411yescharacteristic
591C22⋊Dic79C2×D411yescharacteristic
592C22⋊Dic79C2×D411yescharacteristic
593C22⋊Dic79C2×D411yescharacteristic
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)⋊C4C2×D411yescharacteristic
609(C2×D79)⋊C4C2×D411yescharacteristic
610(C2×D79)⋊C4C2×D411yescharacteristic
611(C2×D79)⋊C4C2×D411yescharacteristic
612C4×Dic79—21no—
613C4×Dic79—21no—
614C4×Dic79—21no—
615C4×Dic79—21no—
616C4×Dic79—21no—
617C4×Dic79—21no—
618C4×Dic79—21no—
619C4×Dic79—21no—
620C4×Dic79C2×D411yescharacteristic
621C4×Dic79C2×D411yescharacteristic
622C4×Dic79C2411yescharacteristic
623C4×Dic79C2411yescharacteristic
624C4×Dic79C2411yescharacteristic
625#41×C79—82no—
626C2×Q8×C79—21no—
627C2×Q8×C79—21no—
628C2×D4×C79—21no—
629C2×D4×C79—21no—
630C2×D4×C79—21no—
631C2×D4×C79—21no—
632C2×D4×C79C2×D411yescharacteristic
633C2×D4×C79C2411yescharacteristic
634C2×D4×C79C2411yescharacteristic
635C22×C4×C79—21no—
636C22×C4×C79—21no—
637C22×C4×C79—21no—
638C22×C4×C79—21no—
639C22×C4×C79C2411yescharacteristic
640C22×C4×C79C2411yescharacteristic
641D8×C79—41no—
642M16×C79—41no—
643M16×C79—41no—
644C2×C8×C79C2411yescharacteristic
645C2×C8×C79C2411yescharacteristic
646C2×C8×C79C2411yescharacteristic
647C2×C8×C79C2411yescharacteristic
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×C79—21no—
667C22⋊C4×C79C2×D411yescharacteristic
668C22⋊C4×C79C2×D411yescharacteristic
669C42×C79—21no—
670C42×C79—21no—
671C42×C79C2411yescharacteristic
672C23×C79—21no—
673C23×C79—21no—
674C23×C79C22×D411yescharacteristic
675C23×C79C22×D411yescharacteristic
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—81no—
686Q8×C79—81no—
687D4×C79—21no—
688D4×C79—21no—
689D4×C79—21no—
690D4×C79—21no—
691D4×C79—41no—
692D4×C79—42no—
693D4×C79—81no—
694D4×C79—81no—
695D4×C79—81no—
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—21no—
704C2×C4×C79—21no—
705C2×C4×C79—21no—
706C2×C4×C79—42no—
707C2×C4×C79—81no—
708C2×C4×C79—81no—
709C2×C4×C79—81no—
710C2×C4×C79C22×D411yescharacteristic
711C2×C4×C79C22×D411yescharacteristic
712C2×C4×C79C22×D411yescharacteristic
713C2×C4×C79C22×D411yescharacteristic
714C2×C4×C79C2511yescharacteristic
715C22⋊D79—41no—
716C22⋊D79—41no—
717C22⋊D79—42no—
718C22⋊D79—42no—
719C22⋊D79—81no—
720C22⋊D79—81no—
721C22⋊D79—81no—
722C22⋊D79—81no—
723C2×Dic79—21no—
724C2×Dic79—21no—
725C2×Dic79—21no—
726C2×Dic79—21no—
727C2×Dic79—21no—
728C2×Dic79—21no—
729C2×Dic79—41no—
730C2×Dic79—41no—
731C2×Dic79—81no—
732C2×Dic79—81no—
733C2×Dic79—81no—
734C2×Dic79—81no—
735C2×Dic79C22×D411yescharacteristic
736C2×Dic79C22×D411yescharacteristic
737C2×Dic79C22×D411yescharacteristic
738C2×Dic79C22×D411yescharacteristic
739C2×Dic79C22×D411yescharacteristic
740C2×Dic79C22×D411yescharacteristic
741C2×Dic79C22×D411yescharacteristic
742D316—21no—
743D316—21no—
744D316—21no—
745D316—42no—
746D316—81no—
747D3162−1+412yes—
748C4×D79—21no—
749C4×D79—21no—
750C4×D79—42no—
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—21no—
761Dic158—21no—
762Dic158—41no—
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×C79—41no—
784C22×C79—41no—
785C22×C79—41no—
786C22×C79C23×D411yescharacteristic
787C2×D79—21no—
788C2×D79—21no—
789C2×D79—22no—
790C2×D79—21no—
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×C79C2×2−1+411yescharacteristic
809C4×C79#58511yescharacteristic
810Dic79—21no—
811Dic79—21no—
812Dic79—21no—
813Dic79—21no—
814Dic79—21no—
815Dic79—21no—
816Dic79—21no—
817Dic79—41no—
818Dic79—41no—
819Dic79—41no—
820Dic79—41no—
821Dic79—41no—
822Dic79—41no—
823#62175—791nomaximal, Sylow
824C2×C79—41no—
825C2×C79—41no—
826C2×C79—81no—
827C2×C79—81no—
828C2×C79#348911yescharacteristic
829C2×C79#358411yescharacteristic
830C2×C79#358511yescharacteristic
831D79—41no—
832D79—42no—
833D79—81no—
834#3565—791no—
835#3513—791no—
836#3389—791no—
837#3381—791no—
838#3371—791no—
839#3361—791no—
840#3354D7911yescharacteristic, complemented
841#3351—791no—
842#3351—791no—
843#3349—791no—
844#3343—791no—
845#3339—791no—
846#3324—791no—
847#3323—791no—
848#3322—791no—
849#3319—791no—
850#3318—791no—
851#3296—791no—
852#3262—791no—
853#3257—791no—
854#3256—791no—
855#3244—791no—
856#3241—791no—
857#3233—791no—
858#3125—791no—
859#3118—791no—
860#3105—791no—
861#3083—791no—
862#3081—791no—
863#3077—791no—
864#2993—791no—
865C79#6217511yescharacteristic, complemented, Sylow
866#563—1581no—
867#562—1581no—
868#559—791no—
869#557—791no—
870#556—791no—
871#556—1581no—
872#555C2×D7911yescharacteristic, complemented
873#554—791no—
874#554—791no—
875#553—791no—
876#553—791no—
877#553—791no—
878#553—1581no—
879#552—791no—
880#552—791no—
881#552—791no—
882#552—1581no—
883#551—1581no—
884#551—1581no—
885#547C2×D7911yescharacteristic
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#499—791no—
914#499—791no—
915#499—791no—
916#498C2×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#485—791no—
927#484—791no—
928#483—791no—
929#483—791no—
930#482—791no—
931#482—791no—
932#482—791no—
933#482—791no—
934#482C2×D7911yescharacteristic
935#482C2×D7911yescharacteristic, complemented
936#481—791no—
937#481—791no—
938#481C2×D7911yescharacteristic, complemented
939#481C2×D7911yescharacteristic, complemented
940#480—791no—
941#479—791no—
942#479—791no—
943#479—791no—
944#479—791no—
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#478—791no—
957#477—791no—
958#477—791no—
959#477—791no—
960#476—791no—
961#476—791no—
962#476—791no—
963#476C2×D7911yescharacteristic, complemented
964#475—791no—
965#474—791no—
966#474—791no—
967#474—791no—
968#474—791no—
969#474—791no—
970#474C2×D7911yescharacteristic, complemented
971#470—791no—
972#469C2×D7911yescharacteristic
973#469C2×D7911yescharacteristic, complemented
974#468—791no—
975#468—791no—
976#468—791no—
977#468—791no—
978#468—791no—
979#467—791no—
980#466—791no—
981#466—791no—
982#465—791no—
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#442—791no—
1003#441—791no—
1004#440—791no—
1005C4×SD16—791no—
1006C4×SD16—791no—
1007C4×SD16—791no—
1008C4×SD16—791no—
1009C4×SD16—791no—
1010C4×D8—791no—
1011C4×D8—791no—
1012C4×D8C2×D7911yescharacteristic, complemented
1013#436—791no—
1014#436—791no—
1015#436C2×D7911yescharacteristic, complemented
1016#435—791no—
1017#435—791no—
1018C8×D4—791no—
1019#433—791no—
1020#433—791no—
1021#431—791no—
1022#428—791no—
1023#428—791no—
1024#428C2×D7911yescharacteristic, complemented
1025#428C2×D7911yescharacteristic, complemented
1026#427—791no—
1027C2×#107—791no—
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—21no—
1038C2×#41—791no—
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×SD16—791no—
1048C2×D8—791no—
1049C2×D8—791no—
1050C2×D8C22×D7911yescharacteristic
1051C2×M16—791no—
1052C2×M16—791no—
1053C2×M16C22×D7911yescharacteristic
1054C2×M16C22×D7911yescharacteristic
1055C22×C8—791no—
1056C22×C8—791no—
1057C4⋊Q8—791no—
1058C4⋊Q8—791no—
1059C4⋊Q8—791no—
1060C4⋊Q8—1581no—
1061C4⋊Q8—1581no—
1062C4⋊Q8—1581no—
1063C4⋊Q8C22×D7911yescharacteristic
1064C4⋊Q8C22×D7911yescharacteristic
1065#127—791no—
1066#126—791no—
1067#126—791no—
1068#126—1581no—
1069#126—1581no—
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—791no—
1082#125—791no—
1083#125—791no—
1084#125—791no—
1085#125—791no—
1086#125—791no—
1087#125—791no—
1088#125—791no—
1089#125—1581no—
1090#125—1581no—
1091#125—1581no—
1092#125—1581no—
1093#125—1581no—
1094#125—1581no—
1095#125—1581no—
1096#124—21no—
1097#124—21no—
1098#124—791no—
1099#124—791no—
1100#124—791no—
1101#124—791no—
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—21no—
1129C22⋊Q8—791no—
1130C22⋊Q8—791no—
1131C22⋊Q8—791no—
1132C22⋊Q8—791no—
1133C22⋊Q8—791no—
1134C22⋊Q8—791no—
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⋊Q8—1581no—
1149C22⋊Q8—1581no—
1150#121—21no—
1151#121—791no—
1152#121—791no—
1153#121—791no—
1154#121—791no—
1155#121—1581no—
1156#121—1581no—
1157#121—1581no—
1158#121—1581no—
1159#121—1581no—
1160#121—1581no—
1161#121—1581no—
1162#121—1581no—
1163#121C22×D7911yescharacteristic
1164#121C22×D7911yescharacteristic
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—791no—
1177C4×Q8—1581no—
1178C4×Q8—1581no—
1179C4×Q8—1581no—
1180C4×Q8—1581no—
1181C4×D4—791no—
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—1581no—
1193C4×D4—1581no—
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×D4C22×D7911yescharacteristic
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#107—791no—
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#106C22×D7911yescharacteristic
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#103—791no—
1276#103—791no—
1277#103—791no—
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#102C22×D7911yescharacteristic
1295#102C22×D7911yescharacteristic
1296#102C22×D7911yescharacteristic
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—82no—
1315#41—3161no—
1316#41—1582no—
1317C2×Q8—21no—
1318C2×Q8—21no—
1319C2×Q8—791no—
1320C2×Q8—791no—
1321C2×Q8—791no—
1322C2×Q8—1581no—
1323C2×Q8—1581no—
1324C2×Q8—1581no—
1325C2×D4—21no—
1326C2×D4—21no—
1327C2×D4—21no—
1328C2×D4—21no—
1329C2×D4—3161no—
1330C2×D4—3161no—
1331C2×D4—791no—
1332C2×D4—791no—
1333C2×D4—791no—
1334C2×D4—791no—
1335C2×D4—6322no—
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×D4D4×D7911yescharacteristic
1347C2×D4C23×D7911yescharacteristic
1348C2×D4C23×D7911yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—791no—
1354C22×C4—791no—
1355C22×C4—791no—
1356C22×C4—6322no—
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—3161no—
1373SD16—3161no—
1374SD16—3161no—
1375SD16—1582no—
1376D8—41no—
1377D8—3161no—
1378D8—1582no—
1379M16—41no—
1380M16—41no—
1381M16—3161no—
1382M16—3161no—
1383C2×C8—3161no—
1384C2×C8—3161no—
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—791no—
1398C4⋊C4—791no—
1399C4⋊C4—791no—
1400C4⋊C4—791no—
1401C4⋊C4—791no—
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—1581no—
1411C4⋊C4—1581no—
1412C4⋊C4—1581no—
1413C4⋊C4—1581no—
1414C4⋊C4—1581no—
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—21no—
1454C22⋊C4—791no—
1455C22⋊C4—791no—
1456C22⋊C4—791no—
1457C22⋊C4—791no—
1458C22⋊C4—791no—
1459C22⋊C4—791no—
1460C22⋊C4—791no—
1461C22⋊C4—791no—
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—791no—
1493C42—791no—
1494C42—791no—
1495C42—791no—
1496C42—791no—
1497C42—1581no—
1498C42—1581no—
1499C42—1581no—
1500C42—1581no—
1501C42—1581no—
1502C42—1581no—
1503C42—1581no—
1504C42—1581no—
1505C42C23×D7911yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—3162no—
1509C23—3162no—
1510C23—3162no—
1511C23—791no—
1512C23—6321no—
1513C23—6321no—
1514C23—6321no—
1515C23—1581no—
1516C23—1581no—
1517C23C2×D4×D7911yescharacteristic
1518C23C2×D4×D7911yescharacteristic
1519Q8—81no—
1520Q8—81no—
1521Q8—3161no—
1522Q8—6321no—
1523Q8—6321no—
1524Q8—6321no—
1525Q8—1581no—
1526Q8—1581no—
1527Q8—1581no—
1528Q8—1581no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—21no—
1533D4—41no—
1534D4—42no—
1535D4—81no—
1536D4—81no—
1537D4—81no—
1538D4—3162no—
1539D4—3162no—
1540D4—3161no—
1541D4—3161no—
1542D4—3162no—
1543D4—792no—
1544D4—6321no—
1545D4—6321no—
1546D4—6321no—
1547D4—6321no—
1548D4—6321no—
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—42no—
1563C2×C4—81no—
1564C2×C4—81no—
1565C2×C4—81no—
1566C2×C4—3162no—
1567C2×C4—3161no—
1568C2×C4—3161no—
1569C2×C4—791no—
1570C2×C4—791no—
1571C2×C4—791no—
1572C2×C4—791no—
1573C2×C4—791no—
1574C2×C4—791no—
1575C2×C4—791no—
1576C2×C4—6321no—
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—1581no—
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—41no—
1618C22—41no—
1619C22—41no—
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—3161no—
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—81no—
1661C2—3162no—
1662C2—3161no—
1663C2—6321no—
1664C2#2377707411yescharacteristic
1665C2#2377817211yescharacteristic
1666C2#2377817611yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3354C2
socleC22×C79C23×D4
hypercenter#3354D79
hypocenterC79#62175
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3354

Complements

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

NH ≅ G/Ntype
1. #23778050C2semidirect
2. #23777335C2semidirect
3. #23776353C2semidirect
4. #23776280C2semidirect
5. #23776175C2semidirect
6. #23776061C2semidirect
7. #23775964C2semidirect
8. #23775961C2semidirect
9. #23775931C2semidirect
10. #23775834C2semidirect
11. #23775800C2semidirect
12. #23775629C2semidirect
13. #23775618C2semidirect
14. #23775596C2semidirect
15. #23775550C2semidirect
16. #23775536C2semidirect
17. #23775238C2semidirect
18. #23774860C2semidirect
19. #23774812C2semidirect
20. #23774795C2semidirect
21. #23774701C2semidirect
22. #23774651C2semidirect
23. #23774576C2semidirect
24. #23773680C2semidirect
25. #23773580C2semidirect
26. #23773444C2semidirect
27. #23773250C2semidirect
28. #23773226C2semidirect
29. #23773196C2semidirect
30. #23772546C2semidirect
31. C79×#3354C2semidirect
35. #19099288C22semidirect
39. #19099272C22semidirect
40. #19099265C22semidirect
44. #19099253C22semidirect
45. #19099252C22semidirect
54. #19099191C22semidirect
55. #19099190C22semidirect
58. #19099180C22semidirect
59. #19099178C22semidirect
66. #19099116C22semidirect
68. #19099094C22semidirect
75. #19098971C22semidirect
76. #19098969C22semidirect
77. #19098964C22semidirect
78. #19098963C22semidirect
79. #19098963C22semidirect
81. #19098925C22semidirect
82. #19098918C22semidirect
83. #19098916C22semidirect
84. #19098916C22semidirect
86. #19098907C22semidirect
87. #19098906C22semidirect
88. #19098905C22semidirect
89. #19098904C22semidirect
90. #19098898C22semidirect
91. #19098895C22semidirect
92. #19098893C22semidirect
94. #19098887C22semidirect
95. #19098886C22semidirect
98. #19098882C22semidirect
99. #19098874C22semidirect
100. #19098873C22semidirect
101. #19098873C22semidirect
102. #19098873C22semidirect
103. #19098873C22semidirect
105. #19098866C22semidirect
106. #19098865C22semidirect
107. #19098865C22semidirect
109. #19098863C22semidirect
113. #19098862C22semidirect
114. #19098862C22semidirect
115. #19098861C22semidirect
116. #19098857C22semidirect
117. #19098857C22semidirect
118. #19098855C22semidirect
120. #19098852C22semidirect
121. #19098851C22semidirect
122. #19098847C22semidirect
125. #19098842C22semidirect
126. #19098841C22semidirect
128. #19098821C22semidirect
130. #19098809C22semidirect
131. #19098808C22semidirect
133. #19098807C22semidirect
134. #19098805C22semidirect
136. #19098797C22semidirect
137. #19098790C22semidirect
138. #19098786C22semidirect
139. #19098784C22semidirect
140. #19098784C22semidirect
141. #19098778C22semidirect
143. #19098777C22semidirect
144. #19098776C22semidirect
145. #19098776C22semidirect
154. #19098692C22semidirect
155. C8×Dic158C22semidirect
158. #19098669C22semidirect
159. #19098663C22semidirect
160. #19098654C22semidirect
164. #19098650C22semidirect
166. #19098643C22semidirect
167. #19098639C22semidirect
169. #19098635C22semidirect
171. (C22⋊D79)⋊C8C22semidirect
172. #19098622C22semidirect
173. #19098621C22semidirect
174. #19098613C22semidirect
175. #19098603C22semidirect
176. #19098602C22semidirect
177. #19098598C22semidirect
178. C2×#14579094C22semidirect
179. #19098591C22semidirect
180. #19098588C22semidirect
181. #19098586C22semidirect
188. #555×C79C22semidirect
190. #498×C79C22semidirect
192. #482×C79C22semidirect
193. #481×C79C22semidirect
194. #481×C79C22semidirect
195. #476×C79C22semidirect
196. #474×C79C22semidirect
198. #469×C79C22semidirect
199. C4×D8×C79C22semidirect
200. #436×C79C22semidirect
201. #428×C79C22semidirect
202. #428×C79C22semidirect
840. #3354D79semidirect
865. C79#62175semidirect
872. #555C2×D79semidirect
916. #498C2×D79semidirect
935. #482C2×D79semidirect
938. #481C2×D79semidirect
939. #481C2×D79semidirect
963. #476C2×D79semidirect
970. #474C2×D79semidirect
973. #469C2×D79semidirect
1012. C4×D8C2×D79semidirect
1015. #436C2×D79semidirect
1024. #428C2×D79semidirect
1025. #428C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237780502
#237773352
#237763532
#237762802
#237761752
#237760612
#237759642
#237759612
#237759312
#237758342
#237758002
#237756292
#237756182
#237755962
#237755502
#237755362
#237752382
#237748602
#237748122
#237747952
#237747012
#237746512
#237745762
#237736802
#237735802
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