Finite Group Databasebeta

← #35185505

Subgroups — #35185505

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#23778051C211yesmaximal, characteristic, complemented
2#23777346C211yesmaximal, characteristic, complemented
3#23776352C211yesmaximal, characteristic, complemented
4#23776266C211yesmaximal, characteristic, complemented
5#23776150C211yesmaximal, characteristic, complemented
6#23776091C211yesmaximal, characteristic, complemented
7#23776001C211yesmaximal, characteristic, complemented
8#23775987C211yesmaximal, characteristic, complemented
9#23775970C211yesmaximal, characteristic, complemented
10#23775921C211yesmaximal, characteristic, complemented
11#23775877C211yesmaximal, characteristic, complemented
12#23775774C211yesmaximal, characteristic, complemented
13#23775637C211yesmaximal, characteristic, complemented
14#23775622C211yesmaximal, characteristic, complemented
15#23775608C211yesmaximal, characteristic, complemented
16#23775443C211yesmaximal, characteristic, complemented
17#23775427C211yesmaximal, characteristic, complemented
18#23775256C211yesmaximal, characteristic, complemented
19#23774816C211yesmaximal, characteristic, complemented
20#23774799C211yesmaximal, characteristic, complemented
21#23774677C211yesmaximal, characteristic, complemented
22#23774652C211yesmaximal, characteristic, complemented
23#23774583C211yesmaximal, characteristic, complemented
24#23773661C211yesmaximal, characteristic, complemented
25#23773578C211yesmaximal, characteristic, complemented
26#23773446C211yesmaximal, characteristic, complemented
27#23773259C211yesmaximal, characteristic, complemented
28#23773232C211yesmaximal, characteristic, complemented
29#23773198C211yesmaximal, characteristic, complemented
30#23772547C211yesmaximal, characteristic, complemented
31C79×#3263C211yesmaximal, characteristic, complemented
32#19099314—21no—
33#19099307—21no—
34#19099295C2211yescharacteristic
35#19099289C2211yescharacteristic, complemented
36#19099286C2211yescharacteristic, complemented
37#19099282—21no—
38#19099277C2211yescharacteristic
39#19099274C2211yescharacteristic
40#19099270C2211yescharacteristic, complemented
41#19099265C2211yescharacteristic, complemented
42#19099264—21no—
43#19099263C2211yescharacteristic, complemented
44#19099260C2211yescharacteristic
45#19099255—21no—
46#19099255C2211yescharacteristic
47#19099247C2211yescharacteristic
48#19099247C2211yescharacteristic, complemented
49#19099243—21no—
50#19099238—21no—
51#19099216C2211yescharacteristic
52#19099206—21no—
53#19099206C2211yescharacteristic
54#19099204C2211yescharacteristic
55#19099197C2211yescharacteristic
56#19099191C2211yescharacteristic, complemented
57#19099190C2211yescharacteristic, complemented
58#19099182C2211yescharacteristic, complemented
59#19099181—21no—
60#19099179—21no—
61#19099170—21no—
62#19099164C2211yescharacteristic
63#19099159—21no—
64#19099157—21no—
65#19099149—21no—
66#19099118C2211yescharacteristic, complemented
67#19099100C2211yescharacteristic
68#19099092C2211yescharacteristic, complemented
69#19099091C2211yescharacteristic
70#19099076—21no—
71#123×D79—21no—
72#19099045C2211yescharacteristic
73#19099037C2211yescharacteristic
74C4×D4×D79C2211yescharacteristic
75#19098970C2211yescharacteristic, complemented
76#19098969C2211yescharacteristic, complemented
77#19098966C2211yescharacteristic, complemented
78#19098963C2211yescharacteristic, complemented
79#19098963C2211yescharacteristic, complemented
80#19098963C2211yescharacteristic, complemented
81#19098926C2211yescharacteristic
82#19098922C2211yescharacteristic, complemented
83#19098919C2211yescharacteristic, complemented
84#19098919C2211yescharacteristic, complemented
85#19098917C2211yescharacteristic, complemented
86#19098908C2211yescharacteristic
87#19098902C2211yescharacteristic, complemented
88#19098902C2211yescharacteristic, complemented
89#19098901C2211yescharacteristic, complemented
90#19098901C2211yescharacteristic, complemented
91#19098897C2211yescharacteristic, complemented
92#19098897C2211yescharacteristic, complemented
93#19098896C2211yescharacteristic, complemented
94#19098889C2211yescharacteristic
95#19098889C2211yescharacteristic
96#19098889C2211yescharacteristic, complemented
97#19098886C2211yescharacteristic, complemented
98#19098884C2211yescharacteristic
99#19098884C2211yescharacteristic, complemented
100#19098883C2211yescharacteristic, complemented
101#19098880C2211yescharacteristic, complemented
102#19098875C2211yescharacteristic, complemented
103#19098875C2211yescharacteristic, complemented
104#19098874C2211yescharacteristic
105#19098872C2211yescharacteristic, complemented
106#19098872C2211yescharacteristic, complemented
107#19098870C2211yescharacteristic, complemented
108#19098868C2211yescharacteristic, complemented
109#19098865C2211yescharacteristic, complemented
110#19098865C2211yescharacteristic, complemented
111#19098864C2211yescharacteristic
112#19098864C2211yescharacteristic
113#19098864C2211yescharacteristic, complemented
114#19098864C2211yescharacteristic, complemented
115#19098863C2211yescharacteristic, complemented
116#19098862C2211yescharacteristic
117#19098862C2211yescharacteristic
118#19098862C2211yescharacteristic
119#19098861C2211yescharacteristic, complemented
120#19098861C2211yescharacteristic, complemented
121#19098858C2211yescharacteristic, complemented
122#19098854C2211yescharacteristic
123#19098854C2211yescharacteristic, complemented
124#19098852C2211yescharacteristic
125#19098850C2211yescharacteristic
126#19098846C2211yescharacteristic, complemented
127#19098844C2211yescharacteristic
128#19098844C2211yescharacteristic, complemented
129#19098843C2211yescharacteristic, complemented
130#19098840C2211yescharacteristic, complemented
131#19098818C2211yescharacteristic, complemented
132#19098815C2211yescharacteristic
133#19098813C2211yescharacteristic, complemented
134#19098812C2211yescharacteristic
135#19098812C2211yescharacteristic, complemented
136#19098806C2211yescharacteristic, complemented
137#19098798C2211yescharacteristic, complemented
138#19098789C2211yescharacteristic, complemented
139#19098787C2211yescharacteristic, complemented
140#19098780C2211yescharacteristic, complemented
141#19098775C2211yescharacteristic
142#19098775C2211yescharacteristic, complemented
143#19098761C2211yescharacteristic
144#19098756C2211yescharacteristic
145#19098724C2211yescharacteristic
146#19098713C2211yescharacteristic
147#19098712C2211yescharacteristic
148#19098707C2211yescharacteristic
149#19098696C2211yescharacteristic
150#19098695C2211yescharacteristic
151#19098692C2211yescharacteristic, complemented
152#19098687C2211yescharacteristic, complemented
153#19098673C2211yescharacteristic, complemented
154#19098666C2211yescharacteristic
155#19098664C2211yescharacteristic, complemented
156#19098661C2211yescharacteristic
157Q16×Dic79C2211yescharacteristic, complemented
158SD16×Dic79C2211yescharacteristic, complemented
159C4×#11929611C2211yescharacteristic, complemented
160#19098648C2211yescharacteristic
161D8×Dic79C2211yescharacteristic, complemented
162C4×#11929609C2211yescharacteristic
163#19098643C2211yescharacteristic
164#19098643C2211yescharacteristic
165#19098640C2211yescharacteristic, complemented
166#19098639C2211yescharacteristic
167#19098639C2211yescharacteristic, complemented
168#19098634C2211yescharacteristic
169#19098633C2211yescharacteristic, complemented
170C8×C22⋊D79C2211yescharacteristic, complemented
171#19098624C2211yescharacteristic, complemented
172#19098623C2211yescharacteristic, complemented
173#19098615C2211yescharacteristic, complemented
174#19098605C2211yescharacteristic, complemented
175#19098602C2211yescharacteristic, complemented
176#19098602C2211yescharacteristic, complemented
177#19098602C2211yescharacteristic, complemented
178#19098601C2211yescharacteristic, complemented
179#106×D79C2211yescharacteristic, complemented
180#19098588C2211yescharacteristic, complemented
181#19098585C2211yescharacteristic, complemented
182#19098569C2211yescharacteristic
183#19098566C2211yescharacteristic
184#19098566C2211yescharacteristic
185#19098563C2211yescharacteristic
186#19098558C2211yescharacteristic
187C2×#14579083C2211yescharacteristic
188#542×C79C2211yescharacteristic
189#542×C79C2211yescharacteristic, complemented
190#476×C79C2211yescharacteristic, complemented
191#476×C79C2211yescharacteristic, complemented
192#475×C79C2211yescharacteristic, complemented
193#475×C79C2211yescharacteristic, complemented
194#470×C79C2211yescharacteristic, complemented
195#469×C79C2211yescharacteristic
196#465×C79C2211yescharacteristic
197#465×C79C2211yescharacteristic, complemented
198#464×C79C2211yescharacteristic, complemented
199#464×C79C2211yescharacteristic, complemented
200#463×C79C2211yescharacteristic, complemented
201#463×C79C2211yescharacteristic, complemented
202#424×C79C2211yescharacteristic, complemented
203C2×#11929625—21no—
204C2×#11929625C2311yescharacteristic
205C22×D316C2311yescharacteristic
206C2×D4×D79—21no—
207C2×D4×D79C2311yescharacteristic
208C22×C4×D79—21no—
209C2×#11929611C2311yescharacteristic
210C2×#11929611C2311yescharacteristic
211C2×#11929609C2311yescharacteristic
212C2×#11929609C2311yescharacteristic
213C2×#11929607C2311yescharacteristic
214C2×#11929607C2311yescharacteristic
215C2×#11929607C2311yescharacteristic
216C2×C8×D79C2311yescharacteristic
217#14579161C2311yescharacteristic
218#14579161C2311yescharacteristic
219#14579160—21no—
220#14579160—21no—
221#14579160C2311yescharacteristic
222#14579159—21no—
223#14579157C2311yescharacteristic
224#14579156—21no—
225#14579156—21no—
226#14579156—21no—
227#14579156—21no—
228#14579156D411yescharacteristic
229#14579154—21no—
230#14579154—21no—
231#14579154—21no—
232#14579154—21no—
233#14579154—21no—
234#14579154—21no—
235#14579154—21no—
236#14579154D411yescharacteristic
237#14579153—21no—
238#14579153C2311yescharacteristic
239#14579153C2311yescharacteristic
240#14579152—21no—
241#14579152—21no—
242#14579152—21no—
243#14579152C2311yescharacteristic
244#14579152C2311yescharacteristic
245#14579152C2311yescharacteristic
246#14579152C2311yescharacteristic
247#14579152C2311yescharacteristic
248#14579151—21no—
249#14579151—21no—
250#14579151—21no—
251#14579151D411yescharacteristic
252#14579150C2311yescharacteristic
253#14579149—21no—
254#14579148—21no—
255#14579147—21no—
256#14579147—21no—
257#14579147—21no—
258#14579147D411yescharacteristic
259#14579146—21no—
260#14579146—21no—
261#14579146—21no—
262#14579146—21no—
263#14579146D411yescharacteristic
264#14579145—21no—
265#14579145—21no—
266#14579145—21no—
267#14579145—21no—
268#14579144—21no—
269#14579144—21no—
270#14579143—21no—
271#14579143—21no—
272#14579143—21no—
273#14579143—21no—
274#14579143—21no—
275#14579143—21no—
276#14579143D411yescharacteristic
277#14579142—21no—
278#14579141—21no—
279#14579141—21no—
280#14579140—21no—
281#14579139—21no—
282#14579139D411yescharacteristic
283#14579138—21no—
284#14579138—21no—
285#14579138—21no—
286#14579138—21no—
287#14579138—21no—
288#14579137—21no—
289#14579137—21no—
290#14579137—21no—
291#14579137—21no—
292#14579137—21no—
293#14579137C2311yescharacteristic
294#14579137C2311yescharacteristic
295#14579137C2311yescharacteristic
296#14579136—21no—
297#14579136C2311yescharacteristic
298#14579136C2311yescharacteristic
299#14579135—21no—
300#14579134—21no—
301#14579134—21no—
302#14579134—21no—
303#14579134—21no—
304#14579134D411yescharacteristic
305#14579133—21no—
306#14579133—21no—
307#14579132—21no—
308#14579132C2311yescharacteristic
309#14579132C2311yescharacteristic
310#14579132C2311yescharacteristic
311#14579131—21no—
312#14579131—21no—
313#14579131—21no—
314#14579129—21no—
315Q8×Dic79—21no—
316Q8×Dic79C2311yescharacteristic
317Q8×Dic79C2311yescharacteristic
318Q8×Dic79C2311yescharacteristic
319C4×Dic158—21no—
320C4×Dic158—21no—
321C4×Dic158C2311yescharacteristic
322#14579126—21no—
323C4×D316—21no—
324C4×D316—21no—
325C4×D316C2311yescharacteristic
326C4×D316C2311yescharacteristic
327C4×D316C2311yescharacteristic
328C4×D316C2311yescharacteristic
329C4×D316C2311yescharacteristic
330D4×Dic79—21no—
331D4×Dic79C2311yescharacteristic
332D4×Dic79C2311yescharacteristic
333D4×Dic79C2311yescharacteristic
334#14579123—21no—
335#14579123—21no—
336#14579123—21no—
337#14579123C2311yescharacteristic
338#14579123C2311yescharacteristic
339C4×C22⋊D79—21no—
340C4×C22⋊D79—21no—
341C4×C22⋊D79C2311yescharacteristic
342C4×C22⋊D79C2311yescharacteristic
343(C22⋊D79)⋊C4—21no—
344(C22⋊D79)⋊C4—21no—
345(C22⋊D79)⋊C4—21no—
346(C22⋊D79)⋊C4—21no—
347#14579120C2311yescharacteristic
348#14579120C2311yescharacteristic
349#14579119—21no—
350#14579119—21no—
351#14579119C2311yescharacteristic
352#14579119C2311yescharacteristic
353#14579119C2311yescharacteristic
354#14579118—21no—
355#14579118—21no—
356#14579118C2311yescharacteristic
357#14579117—21no—
358#14579117—21no—
359#14579117—21no—
360C2×C4⋊Dic79—21no—
361C2×C4⋊Dic79C2311yescharacteristic
362C4⋊C4×D79—21no—
363C4⋊C4×D79—21no—
364C4⋊C4×D79C2311yescharacteristic
365C4⋊C4×D79C2311yescharacteristic
366C4⋊C4×D79C2311yescharacteristic
367C22⋊C4×D79—21no—
368C22⋊C4×D79—21no—
369C22⋊C4×D79—21no—
370C22⋊C4×D79—21no—
371C22⋊C4×D79—21no—
372C42×D79C2311yescharacteristic
373#14579095C2311yescharacteristic
374#14579095C2311yescharacteristic
375#14579095C2311yescharacteristic
376#14579095C2311yescharacteristic
377#14579094C2311yescharacteristic
378#14579094C2311yescharacteristic
379#14579094C2311yescharacteristic
380#14579094C2311yescharacteristic
381#14579094C2311yescharacteristic
382#14579094C2311yescharacteristic
383#14579094C2311yescharacteristic
384#14579094C2311yescharacteristic
385#14579093C2311yescharacteristic
386#14579093C2311yescharacteristic
387#14579093C2311yescharacteristic
388#14579093C2311yescharacteristic
389#14579092C2311yescharacteristic
390#14579092C2311yescharacteristic
391#14579092C2311yescharacteristic
392#14579092C2311yescharacteristic
393C4⋊(C79⋊C8)C2311yescharacteristic
394C4⋊(C79⋊C8)C2311yescharacteristic
395Dic79⋊C8C2311yescharacteristic
396Dic79⋊C8C2311yescharacteristic
397Dic79⋊C8C2311yescharacteristic
398Dic79⋊C8C2311yescharacteristic
399#14579085C2311yescharacteristic
400#14579085C2311yescharacteristic
401#14579085C2311yescharacteristic
402#14579085C2311yescharacteristic
403#14579085C2311yescharacteristic
404#14579085C2311yescharacteristic
405#14579083C2311yescharacteristic
406#14579083C2311yescharacteristic
407#14579083C2311yescharacteristic
408#14579083C2311yescharacteristic
409#14579083C2311yescharacteristic
410#14579083C2311yescharacteristic
411#14579083C2311yescharacteristic
412#14579083C2311yescharacteristic
413#14579082C2311yescharacteristic
414#14579082C2311yescharacteristic
415#14579082C2311yescharacteristic
416#14579082C2311yescharacteristic
417#14579082C2311yescharacteristic
418#14579082C2311yescharacteristic
419#14579081C2311yescharacteristic
420#14579081C2311yescharacteristic
421#14579081C2311yescharacteristic
422#14579081C2311yescharacteristic
423C22⋊(C79⋊C8)C2311yescharacteristic
424C22⋊(C79⋊C8)C2311yescharacteristic
425(C2×D79)⋊C8C2311yescharacteristic
426(C2×D79)⋊C8C2311yescharacteristic
427(C2×D79)⋊C8C2311yescharacteristic
428(C2×D79)⋊C8C2311yescharacteristic
429#14579072C2311yescharacteristic
430#14579071C2311yescharacteristic
431C4×C79⋊C8C2311yescharacteristic
432C8×Dic79C2311yescharacteristic
433C8×Dic79C2311yescharacteristic
434C8×Dic79C2311yescharacteristic
435C2×Q16×C79C2311yescharacteristic
436C2×SD16×C79C2311yescharacteristic
437C2×SD16×C79C2311yescharacteristic
438C2×D8×C79C2311yescharacteristic
439C2×M16×C79C2311yescharacteristic
440C22×C8×C79C2311yescharacteristic
441C4⋊Q8×C79C2311yescharacteristic
442C4⋊Q8×C79C2311yescharacteristic
443#126×C79—21no—
444#126×C79—21no—
445#124×C79—21no—
446#124×C79—21no—
447#124×C79C2311yescharacteristic
448#124×C79C2311yescharacteristic
449#123×C79—21no—
450#123×C79—21no—
451C22⋊Q8×C79—21no—
452C22⋊Q8×C79—21no—
453C22⋊Q8×C79C2311yescharacteristic
454C22⋊Q8×C79C2311yescharacteristic
455#121×C79C2311yescharacteristic
456#121×C79C2311yescharacteristic
457C4×Q8×C79C2311yescharacteristic
458C4×Q8×C79C2311yescharacteristic
459C4×D4×C79C2311yescharacteristic
460C4×D4×C79C2311yescharacteristic
461#117×C79C2311yescharacteristic
462#106×C79C2311yescharacteristic
463#106×C79C2311yescharacteristic
464#106×C79C2311yescharacteristic
465#106×C79C2311yescharacteristic
466C4⋊C8×C79C2311yescharacteristic
467C4⋊C8×C79C2311yescharacteristic
468C4⋊C8×C79C2311yescharacteristic
469C4⋊C8×C79C2311yescharacteristic
470#103×C79C2311yescharacteristic
471#103×C79C2311yescharacteristic
472#103×C79C2311yescharacteristic
473#103×C79C2311yescharacteristic
474#102×C79C2311yescharacteristic
475#102×C79C2311yescharacteristic
476#102×C79C2311yescharacteristic
477#102×C79C2311yescharacteristic
478C23×D79—21no—
479C23×D79—21no—
480#11929625—22no—
481#11929625—41no—
482#11929625—82no—
483C2×Dic158—21no—
484C2×Dic158—21no—
485C2×Dic158—21no—
486C2×Dic158C2×D411yescharacteristic
487C2×D316—21no—
488C2×D316—21no—
489C2×D316—21no—
490C2×D316—22no—
491C2×D316—21no—
492C2×D316—41no—
493C2×D316C2×D411yescharacteristic
494C2×D316C2411yescharacteristic
495C2×D316C2411yescharacteristic
496C2×C22⋊D79—21no—
497C2×C22⋊D79—21no—
498C2×C22⋊D79—21no—
499C2×C22⋊D79—21no—
500C2×C22⋊D79—21no—
501C2×C22⋊D79—21no—
502C2×C22⋊D79C2×D411yescharacteristic
503C2×C22⋊D79C2×D411yescharacteristic
504D4×D79—22no—
505D4×D79—41no—
506D4×D79—82no—
507C22×Dic79—21no—
508C22×Dic79—21no—
509C22×Dic79—21no—
510C22×Dic79—21no—
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—21no—
520C2×C4×D79—21no—
521C2×C4×D79—82no—
522C2×C4×D79C2×D411yescharacteristic
523C2×C4×D79C2×D411yescharacteristic
524C2×C4×D79C2411yescharacteristic
525C2×C4×D79C2411yescharacteristic
526#11929611—22no—
527#11929611—41no—
528#11929609—22no—
529#11929609—41no—
530#11929607—41no—
531#11929607—41no—
532#11929607—41no—
533C2×C79⋊C8C2411yescharacteristic
534C2×C79⋊C8C2411yescharacteristic
535C2×C79⋊C8C2411yescharacteristic
536C2×C79⋊C8C2411yescharacteristic
537C8×D79—41no—
538C4⋊Dic79—21no—
539C4⋊Dic79—21no—
540C4⋊Dic79—21no—
541C4⋊Dic79—21no—
542C4⋊Dic79—21no—
543C4⋊Dic79—21no—
544C4⋊Dic79—21no—
545C4⋊Dic79—21no—
546C4⋊Dic79—21no—
547C4⋊Dic79—21no—
548C4⋊Dic79—21no—
549C4⋊Dic79C2×D411yescharacteristic
550C4⋊Dic79C2×D411yescharacteristic
551C4⋊Dic79C2411yescharacteristic
552C4⋊Dic79C2411yescharacteristic
553C4⋊Dic79C2411yescharacteristic
554C4⋊Dic79C2411yescharacteristic
555C4⋊Dic79C2411yescharacteristic
556C4⋊Dic79C2411yescharacteristic
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⋊C4—21no—
573Dic79⋊C4C2×D411yescharacteristic
574Dic79⋊C4C2×D411yescharacteristic
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⋊Dic79—21no—
585C22⋊Dic79—21no—
586C22⋊Dic79—21no—
587C22⋊Dic79C2×D411yescharacteristic
588C22⋊Dic79C2×D411yescharacteristic
589(C2×D79)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
606(C2×D79)⋊C4C2×D411yescharacteristic
607(C2×D79)⋊C4C2×D411yescharacteristic
608(C2×D79)⋊C4C2×D411yescharacteristic
609(C2×D79)⋊C4C2×D411yescharacteristic
610(C2×D79)⋊C4C2×D411yescharacteristic
611C4×Dic79—21no—
612C4×Dic79—21no—
613C4×Dic79—21no—
614C4×Dic79—21no—
615C4×Dic79—21no—
616C4×Dic79—21no—
617C4×Dic79—21no—
618C4×Dic79—21no—
619C4×Dic79C2×D411yescharacteristic
620C4×Dic79C2×D411yescharacteristic
621C4×Dic79C2411yescharacteristic
622C4×Dic79C2411yescharacteristic
623C2×Q8×C79—21no—
624C2×Q8×C79—21no—
625C2×Q8×C79C2411yescharacteristic
626C2×Q8×C79C2411yescharacteristic
627C2×D4×C79—21no—
628C2×D4×C79—21no—
629C2×D4×C79C2411yescharacteristic
630C2×D4×C79C2411yescharacteristic
631C22×C4×C79—21no—
632C22×C4×C79—21no—
633C22×C4×C79C2411yescharacteristic
634Q16×C79—41no—
635SD16×C79—41no—
636SD16×C79—41no—
637D8×C79—41no—
638M16×C79—41no—
639C2×C8×C79—41no—
640C2×C8×C79C2411yescharacteristic
641C2×C8×C79C2411yescharacteristic
642C2×C8×C79C2411yescharacteristic
643C2×C8×C79C2411yescharacteristic
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×C79C2×D411yescharacteristic
651C4⋊C4×C79C2×D411yescharacteristic
652C4⋊C4×C79C2411yescharacteristic
653C4⋊C4×C79C2411yescharacteristic
654C4⋊C4×C79C2411yescharacteristic
655C4⋊C4×C79C2411yescharacteristic
656C22⋊C4×C79—21no—
657C22⋊C4×C79—21no—
658C22⋊C4×C79—21no—
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×C79C2411yescharacteristic
671C42×C79C2411yescharacteristic
672C23×C79—21no—
673C23×C79—21no—
674C23×C79C22×D411yescharacteristic
675C22×D79—21no—
676C22×D79—21no—
677C22×D79—42no—
678C22×D79—42no—
679C22×D79—42no—
680C22×D79—81no—
681C22×D79—81no—
682C22×D79—81no—
683C22×D79C22×D411yescharacteristic
684C22×D79C22×D411yescharacteristic
685Q8×C79—21no—
686Q8×C79—21no—
687Q8×C79—21no—
688Q8×C79—21no—
689Q8×C79—81no—
690Q8×C79—81no—
691D4×C79—21no—
692D4×C79—21no—
693D4×C79—21no—
694D4×C79—21no—
695D4×C79—81no—
696D4×C79—81no—
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—81no—
706C2×C4×C79—81no—
707C2×C4×C79C22×D411yescharacteristic
708C2×C4×C79C22×D411yescharacteristic
709C2×C4×C79C22×D411yescharacteristic
710C2×C4×C79C22×D411yescharacteristic
711C2×C4×C79C22×D411yescharacteristic
712C2×C4×C79C2511yescharacteristic
713C22⋊D79—41no—
714C22⋊D79—41no—
715C22⋊D79—42no—
716C22⋊D79—81no—
717C22⋊D79—81no—
718C22⋊D79—81no—
719C22⋊D79—81no—
720C22⋊D79—81no—
721C2×Dic79—21no—
722C2×Dic79—21no—
723C2×Dic79—21no—
724C2×Dic79—21no—
725C2×Dic79—21no—
726C2×Dic79—21no—
727C2×Dic79—81no—
728C2×Dic79—81no—
729C2×Dic79—81no—
730C2×Dic79—81no—
731C2×Dic79C22×D411yescharacteristic
732C2×Dic79C22×D411yescharacteristic
733C2×Dic79C22×D411yescharacteristic
734C2×Dic79C22×D411yescharacteristic
735C2×Dic79C22×D411yescharacteristic
736C2×Dic79C22×D411yescharacteristic
737D316—21no—
738D316—21no—
739D316—21no—
740D316—41no—
741D316—42no—
742D316—42no—
743D316—42no—
744D316—81no—
745D3162−1+412yes—
746C4×D79—21no—
747C4×D79—21no—
748C4×D79—21no—
749C4×D79—21no—
750C4×D79—41no—
751C4×D79—41no—
752C4×D79—42no—
753C4×D79—42no—
754C4×D79—81no—
755C4×D79—81no—
756C4×D79—81no—
757C4×D79—81no—
758C4×D79—81no—
759C4×D79—81no—
760C4×D79—81no—
761C4×D79—81no—
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—41no—
778C22×C79—41no—
779C22×C79—41no—
780C22×C79—41no—
781C22×C79—41no—
782C22×C79—41no—
783C22×C79C23×D411yescharacteristic
784C2×D79—21no—
785C2×D79—21no—
786C2×D79—21no—
787C2×D79—21no—
788C2×D79—22no—
789C2×D79—21no—
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—21no—
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—41no—
818Dic79—41no—
819Dic79—41no—
820Dic79—41no—
821Dic79—41no—
822Dic79—41no—
823#62176—791nomaximal, Sylow
824C2×C79—41no—
825C2×C79—81no—
826C2×C79—81no—
827C2×C79#348911yescharacteristic
828C2×C79#358411yescharacteristic
829C2×C79#358511yescharacteristic
830D79—41no—
831D79—41no—
832D79—42no—
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#3337—791no—
846#3325—791no—
847#3323—791no—
848#3322—791no—
849#3311—791no—
850#3310—791no—
851#3297—791no—
852#3263D7911yescharacteristic, complemented
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—791no—
878#553—1581no—
879#552—791no—
880#552—791no—
881#552—791no—
882#552—1581no—
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—1581no—
894#542—1581no—
895#542C2×D7911yescharacteristic
896#542C2×D7911yescharacteristic, complemented
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#499—791no—
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#484—791no—
929#484—791no—
930#482—791no—
931#482—791no—
932#482—791no—
933#482—791no—
934#482—791no—
935#482—791no—
936#481—791no—
937#481—791no—
938#480—791no—
939#480—791no—
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#476—791no—
959#476—791no—
960#476—791no—
961#476—791no—
962#476C2×D7911yescharacteristic, complemented
963#476C2×D7911yescharacteristic, complemented
964#475—791no—
965#475C2×D7911yescharacteristic, complemented
966#475C2×D7911yescharacteristic, complemented
967#474—791no—
968#474—791no—
969#474—791no—
970#474—791no—
971#470—791no—
972#470C2×D7911yescharacteristic, complemented
973#469—791no—
974#469—791no—
975#469C2×D7911yescharacteristic
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#464C2×D7911yescharacteristic, complemented
985#464C2×D7911yescharacteristic, complemented
986#463—791no—
987#463—791no—
988#463—791no—
989#463C2×D7911yescharacteristic, complemented
990#463C2×D7911yescharacteristic, complemented
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×SD16—791no—
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×D4—791no—
1019#433—791no—
1020#433—791no—
1021#431—791no—
1022#428—791no—
1023#428—791no—
1024#428—791no—
1025#428—791no—
1026#427—791no—
1027C2×#106—791no—
1028#424—791no—
1029#424C2×D7911yescharacteristic, complemented
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×Q16C22×D7911yescharacteristic
1044C2×SD16—791no—
1045C2×SD16—791no—
1046C2×SD16C22×D7911yescharacteristic
1047C2×SD16C22×D7911yescharacteristic
1048C2×D8—791no—
1049C2×D8—791no—
1050C2×D8C22×D7911yescharacteristic
1051C2×M16—791no—
1052C2×M16—791no—
1053C2×M16—791no—
1054C2×M16C22×D7911yescharacteristic
1055C22×C8—791no—
1056C22×C8C22×D7911yescharacteristic
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—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—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—1581no—
1101#124—1581no—
1102#124—1581no—
1103#124—1581no—
1104#124—1581no—
1105#124C22×D7911yescharacteristic
1106#124C22×D7911yescharacteristic
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—21no—
1130C22⋊Q8—791no—
1131C22⋊Q8—791no—
1132C22⋊Q8—791no—
1133C22⋊Q8—791no—
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—791no—
1151#121—791no—
1152#121—791no—
1153#121—791no—
1154#121—791no—
1155#121—791no—
1156#121—1581no—
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—1581no—
1176C4×Q8—1581no—
1177C4×Q8—1581no—
1178C4×Q8—1581no—
1179C4×Q8C22×D7911yescharacteristic
1180C4×Q8C22×D7911yescharacteristic
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—791no—
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×D4—1581no—
1205C4×D4C22×D7911yescharacteristic
1206C4×D4C22×D7911yescharacteristic
1207#117—791no—
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#117—1581no—
1220#117C22×D7911yescharacteristic
1221C2×C4⋊C4—791no—
1222C2×C4⋊C4—791no—
1223C2×C4⋊C4—791no—
1224C2×C4⋊C4—791no—
1225C2×C4⋊C4—1581no—
1226C2×C4⋊C4—1581no—
1227C2×C4⋊C4—1581no—
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#107—791no—
1244#107—791no—
1245#107—791no—
1246#106—791no—
1247#106—791no—
1248#106—791no—
1249#106—791no—
1250#106—791no—
1251#106—791no—
1252#106—791no—
1253#106—791no—
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⋊C8C22×D7911yescharacteristic
1265C4⋊C8C22×D7911yescharacteristic
1266C4⋊C8C22×D7911yescharacteristic
1267C4⋊C8C22×D7911yescharacteristic
1268#103—791no—
1269#103—791no—
1270#103—791no—
1271#103—791no—
1272#103—791no—
1273#103—791no—
1274#103C22×D7911yescharacteristic
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#102C22×D7911yescharacteristic
1297#102C22×D7911yescharacteristic
1298#102C22×D7911yescharacteristic
1299#102C22×D7911yescharacteristic
1300C22⋊C8—791no—
1301C22⋊C8—791no—
1302C22⋊C8—791no—
1303C22⋊C8—791no—
1304C22⋊C8—791no—
1305C22⋊C8—791no—
1306#97—791no—
1307#97—791no—
1308C4×C8—791no—
1309C4×C8—791no—
1310C4×C8—791no—
1311C4×C8—791no—
1312C24—1581no—
1313C24—1581no—
1314#41—3161no—
1315#41—6322no—
1316#41—1582no—
1317C2×Q8—21no—
1318C2×Q8—21no—
1319C2×Q8—791no—
1320C2×Q8—1581no—
1321C2×Q8—1581no—
1322C2×Q8—1581no—
1323C2×Q8C23×D7911yescharacteristic
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—1581no—
1337C2×D4—1582no—
1338C2×D4—1581no—
1339C2×D4—1581no—
1340C2×D4—1581no—
1341C2×D4—1581no—
1342C2×D4—1582no—
1343C2×D4—1581no—
1344C2×D4—1581no—
1345C2×D4—1581no—
1346C2×D4—1581no—
1347C2×D4C23×D7911yescharacteristic
1348C2×D4C23×D7911yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—791no—
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×C4—1581no—
1370C22×C4C23×D7911yescharacteristic
1371Q16—41no—
1372SD16—41no—
1373SD16—41no—
1374SD16—3161no—
1375SD16—1582no—
1376D8—41no—
1377D8—3161no—
1378D8—1582no—
1379M16—41no—
1380M16—3161no—
1381M16—3161no—
1382M16—3161no—
1383C2×C8—41no—
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—21no—
1398C4⋊C4—21no—
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—791no—
1411C4⋊C4—791no—
1412C4⋊C4—791no—
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⋊C4—1581no—
1440C4⋊C4D4×D7911yescharacteristic
1441C4⋊C4D4×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—21no—
1455C22⋊C4—21no—
1456C22⋊C4—791no—
1457C22⋊C4—791no—
1458C22⋊C4—791no—
1459C22⋊C4—791no—
1460C22⋊C4—791no—
1461C22⋊C4—791no—
1462C22⋊C4—791no—
1463C22⋊C4—791no—
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—1581no—
1497C42—1581no—
1498C42—1581no—
1499C42—1581no—
1500C42—1581no—
1501C42—1581no—
1502C42—1581no—
1503C42—1581no—
1504C42C23×D7911yescharacteristic
1505C42C23×D7911yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—3162no—
1509C23—3162no—
1510C23—3162no—
1511C23—791no—
1512C23—791no—
1513C23—6321no—
1514C23—6321no—
1515C23—6321no—
1516C23—1581no—
1517C23—1581no—
1518C23C2×D4×D7911yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—21no—
1522Q8—21no—
1523Q8—81no—
1524Q8—81no—
1525Q8—3161no—
1526Q8—6321no—
1527Q8—6321no—
1528Q8—6321no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—21no—
1533D4—81no—
1534D4—81no—
1535D4—3162no—
1536D4—3161no—
1537D4—3162no—
1538D4—3162no—
1539D4—3161no—
1540D4—3161no—
1541D4—3162no—
1542D4—792no—
1543D4—6321no—
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—81no—
1561C2×C4—81no—
1562C2×C4—3161no—
1563C2×C4—3161no—
1564C2×C4—3162no—
1565C2×C4—3162no—
1566C2×C4—791no—
1567C2×C4—791no—
1568C2×C4—791no—
1569C2×C4—791no—
1570C2×C4—791no—
1571C2×C4—791no—
1572C2×C4—6321no—
1573C2×C4—6321no—
1574C2×C4—6321no—
1575C2×C4—6321no—
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—1581no—
1585C2×C4—1581no—
1586C2×C4—1581no—
1587C2×C4—1581no—
1588C2×C4—1581no—
1589C2×C4—1581no—
1590C2×C4—1581no—
1591C2×C4—1581no—
1592C2×C4—1581no—
1593C2×C4—1581no—
1594C2×C4C2×D4×D7911yescharacteristic
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—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—3161no—
1618C22—3161no—
1619C22—3161no—
1620C22—3161no—
1621C22—3161no—
1622C22—6324no—
1623C22—1582no—
1624C22—1581no—
1625C22—1581no—
1626C22—1581no—
1627C22—1581no—
1628C22—1581no—
1629C22—1581no—
1630C22—12642no—
1631C22C22×D4×D7911yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—3161no—
1644C4—3161no—
1645C4—3161no—
1646C4—3161no—
1647C4—3161no—
1648C4—3161no—
1649C4—1581no—
1650C4—1581no—
1651C4—1581no—
1652C4—1581no—
1653C4—1581no—
1654C4—1581no—
1655C42−1+4×D7911yescharacteristic
1656C4#1909939811yescharacteristic
1657C2—41no—
1658C2—81no—
1659C2—81no—
1660C2—3162no—
1661C2—3161no—
1662C2—3161no—
1663C2—6321no—
1664C2#2377707511yescharacteristic
1665C2#2377817211yescharacteristic
1666C2#2377817811yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3263C2
socleC22×C79C23×D4
hypercenter#3263D79
hypocenterC79#62176
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ #117 ◁ #3263

Complements

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

NH ≅ G/Ntype
1. #23778051C2semidirect
2. #23777346C2semidirect
3. #23776352C2semidirect
4. #23776266C2semidirect
5. #23776150C2semidirect
6. #23776091C2semidirect
7. #23776001C2semidirect
8. #23775987C2semidirect
9. #23775970C2semidirect
10. #23775921C2semidirect
11. #23775877C2semidirect
12. #23775774C2semidirect
13. #23775637C2semidirect
14. #23775622C2semidirect
15. #23775608C2semidirect
16. #23775443C2semidirect
17. #23775427C2semidirect
18. #23775256C2semidirect
19. #23774816C2semidirect
20. #23774799C2semidirect
21. #23774677C2semidirect
22. #23774652C2semidirect
23. #23774583C2semidirect
24. #23773661C2semidirect
25. #23773578C2semidirect
26. #23773446C2semidirect
27. #23773259C2semidirect
28. #23773232C2semidirect
29. #23773198C2semidirect
30. #23772547C2semidirect
31. C79×#3263C2semidirect
35. #19099289C22semidirect
36. #19099286C22semidirect
40. #19099270C22semidirect
41. #19099265C22semidirect
43. #19099263C22semidirect
48. #19099247C22semidirect
56. #19099191C22semidirect
57. #19099190C22semidirect
58. #19099182C22semidirect
66. #19099118C22semidirect
68. #19099092C22semidirect
75. #19098970C22semidirect
76. #19098969C22semidirect
77. #19098966C22semidirect
78. #19098963C22semidirect
79. #19098963C22semidirect
80. #19098963C22semidirect
82. #19098922C22semidirect
83. #19098919C22semidirect
84. #19098919C22semidirect
85. #19098917C22semidirect
87. #19098902C22semidirect
88. #19098902C22semidirect
89. #19098901C22semidirect
90. #19098901C22semidirect
91. #19098897C22semidirect
92. #19098897C22semidirect
93. #19098896C22semidirect
96. #19098889C22semidirect
97. #19098886C22semidirect
99. #19098884C22semidirect
100. #19098883C22semidirect
101. #19098880C22semidirect
102. #19098875C22semidirect
103. #19098875C22semidirect
105. #19098872C22semidirect
106. #19098872C22semidirect
107. #19098870C22semidirect
108. #19098868C22semidirect
109. #19098865C22semidirect
110. #19098865C22semidirect
113. #19098864C22semidirect
114. #19098864C22semidirect
115. #19098863C22semidirect
119. #19098861C22semidirect
120. #19098861C22semidirect
121. #19098858C22semidirect
123. #19098854C22semidirect
126. #19098846C22semidirect
128. #19098844C22semidirect
129. #19098843C22semidirect
130. #19098840C22semidirect
131. #19098818C22semidirect
133. #19098813C22semidirect
135. #19098812C22semidirect
136. #19098806C22semidirect
137. #19098798C22semidirect
138. #19098789C22semidirect
139. #19098787C22semidirect
140. #19098780C22semidirect
142. #19098775C22semidirect
151. #19098692C22semidirect
152. #19098687C22semidirect
153. #19098673C22semidirect
155. #19098664C22semidirect
157. Q16×Dic79C22semidirect
158. SD16×Dic79C22semidirect
159. C4×#11929611C22semidirect
161. D8×Dic79C22semidirect
165. #19098640C22semidirect
167. #19098639C22semidirect
169. #19098633C22semidirect
170. C8×C22⋊D79C22semidirect
171. #19098624C22semidirect
172. #19098623C22semidirect
173. #19098615C22semidirect
174. #19098605C22semidirect
175. #19098602C22semidirect
176. #19098602C22semidirect
177. #19098602C22semidirect
178. #19098601C22semidirect
179. #106×D79C22semidirect
180. #19098588C22semidirect
181. #19098585C22semidirect
189. #542×C79C22semidirect
190. #476×C79C22semidirect
191. #476×C79C22semidirect
192. #475×C79C22semidirect
193. #475×C79C22semidirect
194. #470×C79C22semidirect
197. #465×C79C22semidirect
198. #464×C79C22semidirect
199. #464×C79C22semidirect
200. #463×C79C22semidirect
201. #463×C79C22semidirect
202. #424×C79C22semidirect
852. #3263D79semidirect
865. C79#62176semidirect
896. #542C2×D79semidirect
962. #476C2×D79semidirect
963. #476C2×D79semidirect
965. #475C2×D79semidirect
966. #475C2×D79semidirect
972. #470C2×D79semidirect
982. #465C2×D79semidirect
984. #464C2×D79semidirect
985. #464C2×D79semidirect
989. #463C2×D79semidirect
990. #463C2×D79semidirect
1029. #424C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237780512
#237773462
#237763522
#237762662
#237761502
#237760912
#237760012
#237759872
#237759702
#237759212
#237758772
#237757742
#237756372
#237756222
#237756082
#237754432
#237754272
#237752562
#237748162
#237747992
#237746772
#237746522
#237745832
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