Finite Group Databasebeta

← #35185205

Subgroups — #35185205

Order 20224.

1814 conjugacy classes of subgroups.

The subgroup lattice has 1730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777935C211yesmaximal, characteristic, complemented
2#23777431C211yesmaximal, characteristic, complemented
3#23776360C211yesmaximal, characteristic, complemented
4#23776354C211yesmaximal, characteristic, complemented
5#23776103C211yesmaximal, characteristic, complemented
6#23775905C211yesmaximal, characteristic, complemented
7#23775897C211yesmaximal, characteristic, complemented
8#23775877C211yesmaximal, characteristic, complemented
9#23775875C211yesmaximal, characteristic, complemented
10#23775804C211yesmaximal, characteristic, complemented
11#23775799C211yesmaximal, characteristic, complemented
12#23775548C211yesmaximal, characteristic, complemented
13#23775548C211yesmaximal, characteristic, complemented
14#23775540C211yesmaximal, characteristic, complemented
15#23775540C211yesmaximal, characteristic, complemented
16#23775216C211yesmaximal, characteristic, complemented
17#23775212C211yesmaximal, characteristic, complemented
18#23774837C211yesmaximal, characteristic, complemented
19#23774837C211yesmaximal, characteristic, complemented
20#23774708C211yesmaximal, characteristic, complemented
21#23774648C211yesmaximal, characteristic, complemented
22#23774646C211yesmaximal, characteristic, complemented
23#23774585C211yesmaximal, characteristic, complemented
24#23773642C211yesmaximal, characteristic, complemented
25#23773640C211yesmaximal, characteristic, complemented
26#23773489C211yesmaximal, characteristic, complemented
27#23773228C211yesmaximal, characteristic, complemented
28#23773226C211yesmaximal, characteristic, complemented
29#478×D79C211yesmaximal, characteristic, complemented
30#23772538C211yesmaximal, characteristic, complemented
31C79×#3366C211yesmaximal, characteristic, complemented
32#19099314—21no—
33#19099309—21no—
34#19099278C2211yescharacteristic
35#19099273C2211yescharacteristic
36#19099273C2211yescharacteristic, complemented
37#19099266C2211yescharacteristic, complemented
38#19099266C2211yescharacteristic, complemented
39#19099263C2211yescharacteristic
40#19099263C2211yescharacteristic
41#19099263C2211yescharacteristic, complemented
42#19099263C2211yescharacteristic, complemented
43#19099260—21no—
44#19099218C2211yescharacteristic, complemented
45#19099216C2211yescharacteristic, complemented
46#19099215—21no—
47#19099214—21no—
48#19099202—21no—
49#19099202—21no—
50#19099201—21no—
51#19099198C2211yescharacteristic
52#19099198C2211yescharacteristic
53#19099198C2211yescharacteristic
54#19099193C2211yescharacteristic, complemented
55#19099190C2211yescharacteristic, complemented
56#19099167C2211yescharacteristic
57#19099167C2211yescharacteristic
58#19099164C2211yescharacteristic, complemented
59#19099164C2211yescharacteristic, complemented
60#19099160—21no—
61#19099159—21no—
62#19099159—21no—
63#19099145—21no—
64#19099145—21no—
65#19099143—21no—
66#19099111C2211yescharacteristic
67#19099110C2211yescharacteristic, complemented
68#19099100C2211yescharacteristic
69#125×D79C2211yescharacteristic, complemented
70#19099070—21no—
71#121×D79—21no—
72#19099035C2211yescharacteristic
73#19099035C2211yescharacteristic
74C4×D4×D79C2211yescharacteristic
75#19098973C2211yescharacteristic, complemented
76#19098972C2211yescharacteristic, complemented
77#19098972C2211yescharacteristic, complemented
78#19098969C2211yescharacteristic, complemented
79#19098965C2211yescharacteristic, complemented
80#19098962C2211yescharacteristic, complemented
81#19098927C2211yescharacteristic, complemented
82#19098927C2211yescharacteristic, complemented
83#19098909C2211yescharacteristic, complemented
84#19098890C2211yescharacteristic, complemented
85#19098889C2211yescharacteristic, complemented
86#19098886C2211yescharacteristic, complemented
87#19098886C2211yescharacteristic, complemented
88#19098886C2211yescharacteristic, complemented
89#19098885C2211yescharacteristic, complemented
90#19098885C2211yescharacteristic, complemented
91#19098885C2211yescharacteristic, complemented
92#19098883C2211yescharacteristic, complemented
93#19098880C2211yescharacteristic, complemented
94#19098880C2211yescharacteristic, complemented
95#19098880C2211yescharacteristic, complemented
96#19098880C2211yescharacteristic, complemented
97#19098880C2211yescharacteristic, complemented
98#19098875C2211yescharacteristic, complemented
99#19098875C2211yescharacteristic, complemented
100#19098875C2211yescharacteristic, complemented
101#19098875C2211yescharacteristic, complemented
102#19098866C2211yescharacteristic
103#19098865C2211yescharacteristic, complemented
104#19098865C2211yescharacteristic, complemented
105#19098865C2211yescharacteristic, complemented
106#19098864C2211yescharacteristic
107#19098864C2211yescharacteristic
108#19098864C2211yescharacteristic, complemented
109#19098864C2211yescharacteristic, complemented
110#19098863C2211yescharacteristic, complemented
111#19098863C2211yescharacteristic, complemented
112#19098863C2211yescharacteristic, complemented
113#19098863C2211yescharacteristic, complemented
114#19098862C2211yescharacteristic
115#19098861C2211yescharacteristic, complemented
116#19098861C2211yescharacteristic, complemented
117#19098861C2211yescharacteristic, complemented
118#19098860C2211yescharacteristic
119#19098860C2211yescharacteristic
120#19098853C2211yescharacteristic, complemented
121#19098852C2211yescharacteristic
122#19098851C2211yescharacteristic, complemented
123#19098844C2211yescharacteristic
124#19098844C2211yescharacteristic, complemented
125#19098843C2211yescharacteristic, complemented
126#19098841C2211yescharacteristic, complemented
127#19098841C2211yescharacteristic, complemented
128#19098840C2211yescharacteristic
129#19098815C2211yescharacteristic, complemented
130#19098815C2211yescharacteristic, complemented
131#19098813C2211yescharacteristic, complemented
132#19098813C2211yescharacteristic, complemented
133#19098798C2211yescharacteristic, complemented
134#19098798C2211yescharacteristic, complemented
135#19098798C2211yescharacteristic, complemented
136#19098798C2211yescharacteristic, complemented
137#19098796C2211yescharacteristic, complemented
138#19098796C2211yescharacteristic, complemented
139#19098796C2211yescharacteristic, complemented
140#19098796C2211yescharacteristic, complemented
141#19098757C2211yescharacteristic
142#19098756C2211yescharacteristic, complemented
143#19098756C2211yescharacteristic, complemented
144#19098756C2211yescharacteristic, complemented
145#19098755C2211yescharacteristic, complemented
146#19098755C2211yescharacteristic, complemented
147#19098755C2211yescharacteristic, complemented
148#19098698C2211yescharacteristic
149#19098698C2211yescharacteristic
150#19098698C2211yescharacteristic
151#19098695C2211yescharacteristic
152#19098695C2211yescharacteristic
153#19098695C2211yescharacteristic
154#19098694C2211yescharacteristic, complemented
155#19098676C2211yescharacteristic
156#19098676C2211yescharacteristic
157#19098673C2211yescharacteristic
158#19098673C2211yescharacteristic
159#19098673C2211yescharacteristic, complemented
160#19098673C2211yescharacteristic, complemented
161C4×D632C2211yescharacteristic
162C4×#11929609C2211yescharacteristic
163C4×#11929609C2211yescharacteristic, complemented
164#19098636C2211yescharacteristic, complemented
165#19098636C2211yescharacteristic, complemented
166#19098633C2211yescharacteristic, complemented
167#19098633C2211yescharacteristic, complemented
168C8×D316C2211yescharacteristic, complemented
169#19098628C2211yescharacteristic, complemented
170#19098625C2211yescharacteristic, complemented
171#19098622C2211yescharacteristic, complemented
172#19098618C2211yescharacteristic, complemented
173#19098602C2211yescharacteristic, complemented
174#19098602C2211yescharacteristic, complemented
175#19098600C2211yescharacteristic, complemented
176#19098598C2211yescharacteristic, complemented
177#107×D79C2211yescharacteristic, complemented
178#106×D79C2211yescharacteristic, complemented
179#19098588C2211yescharacteristic, complemented
180#19098588C2211yescharacteristic, complemented
181C4⋊C8×D79C2211yescharacteristic, complemented
182#19098566C2211yescharacteristic
183#19098566C2211yescharacteristic
184#102×D79C2211yescharacteristic
185#102×D79C2211yescharacteristic
186#102×D79C2211yescharacteristic
187#102×D79C2211yescharacteristic
188#554×C79C2211yescharacteristic, complemented
189#550×C79C2211yescharacteristic
190#490×C79C2211yescharacteristic, complemented
191#490×C79C2211yescharacteristic, complemented
192#486×C79C2211yescharacteristic, complemented
193#478×C79C2211yescharacteristic, complemented
194#478×C79C2211yescharacteristic, complemented
195#476×C79C2211yescharacteristic, complemented
196#459×C79C2211yescharacteristic, complemented
197#459×C79C2211yescharacteristic, complemented
198#459×C79C2211yescharacteristic, complemented
199#446×C79C2211yescharacteristic, complemented
200#442×C79C2211yescharacteristic, complemented
201#442×C79C2211yescharacteristic, complemented
202C4×D8×C79C2211yescharacteristic, complemented
203C2×#11929625—21no—
204C2×#11929624—21no—
205C2×#11929624—21no—
206C2×#11929623—21no—
207C2×D4×D79—21no—
208C2×D4×D79—21no—
209C2×D4×D79—21no—
210C2×D4×D79C2311yescharacteristic
211C2×D4×D79C2311yescharacteristic
212C2×D4×D79C2311yescharacteristic
213C22×C4×D79—21no—
214C2×D632C2311yescharacteristic
215C2×#11929609C2311yescharacteristic
216C2×#11929609C2311yescharacteristic
217C2×#11929609C2311yescharacteristic
218C2×#11929609C2311yescharacteristic
219C2×#11929607C2311yescharacteristic
220C2×#11929607C2311yescharacteristic
221C2×C8×D79C2311yescharacteristic
222C2×C8×D79C2311yescharacteristic
223C2×C8×D79C2311yescharacteristic
224C2×C8×D79C2311yescharacteristic
225#14579161C2311yescharacteristic
226#14579161C2311yescharacteristic
227#14579160—21no—
228#14579160C2311yescharacteristic
229#14579159—21no—
230#14579157C2311yescharacteristic
231#14579156—21no—
232#14579156—21no—
233#14579156D411yescharacteristic
234#14579156D411yescharacteristic
235#14579154—21no—
236#14579154—21no—
237#14579154—21no—
238#14579154—21no—
239#14579153C2311yescharacteristic
240#14579153C2311yescharacteristic
241#14579153C2311yescharacteristic
242#14579153C2311yescharacteristic
243#14579152D411yescharacteristic
244#14579152C2311yescharacteristic
245#14579152C2311yescharacteristic
246#14579151—21no—
247#14579151—21no—
248#14579151—21no—
249#14579151—21no—
250#14579150D411yescharacteristic
251#14579148—21no—
252#14579147—21no—
253#14579147—21no—
254#14579147—21no—
255#14579146—21no—
256#14579146—21no—
257#14579146—21no—
258#14579146—21no—
259#14579146D411yescharacteristic
260#14579146D411yescharacteristic
261#14579144—21no—
262#14579144—21no—
263#14579144—21no—
264#14579144—21no—
265#14579144—21no—
266#14579144—21no—
267#14579143—21no—
268#14579143—21no—
269#14579143—21no—
270#14579143—21no—
271#14579142—21no—
272#14579142—21no—
273#14579142—21no—
274#14579142—21no—
275#14579141—21no—
276#14579140—21no—
277#14579139—21no—
278#14579139—21no—
279#14579139—21no—
280#14579139—21no—
281#14579139—21no—
282#14579139—21no—
283#14579137—21no—
284#14579137—21no—
285#14579137—21no—
286#14579137—21no—
287#14579137D411yescharacteristic
288#14579136—21no—
289#14579136—21no—
290#14579136D411yescharacteristic
291#14579136C2311yescharacteristic
292#14579136C2311yescharacteristic
293#14579136C2311yescharacteristic
294#14579135—21no—
295#14579135—21no—
296#14579135—21no—
297#14579134—21no—
298#14579134—21no—
299#14579134—21no—
300#14579134—21no—
301#14579134—21no—
302#14579134—21no—
303#14579134—21no—
304#14579133—21no—
305#14579133—21no—
306#14579133—21no—
307#14579133—21no—
308#14579132—21no—
309#14579132—21no—
310#14579132—21no—
311#14579132—21no—
312#14579132C2311yescharacteristic
313#14579132C2311yescharacteristic
314#14579132C2311yescharacteristic
315#14579132C2311yescharacteristic
316#14579132C2311yescharacteristic
317#14579132C2311yescharacteristic
318#14579132C2311yescharacteristic
319#14579132C2311yescharacteristic
320#14579132C2311yescharacteristic
321#14579129—21no—
322#14579129—21no—
323#14579129—21no—
324#14579129—21no—
325#14579129—21no—
326#14579129—21no—
327C4×D316C2311yescharacteristic
328C4×D316C2311yescharacteristic
329C4×D316C2311yescharacteristic
330C4×D316C2311yescharacteristic
331C4×D316C2311yescharacteristic
332C4×D316C2311yescharacteristic
333C4×D316C2311yescharacteristic
334C4×D316C2311yescharacteristic
335C4×D316C2311yescharacteristic
336D4×Dic79—21no—
337D4×Dic79C2311yescharacteristic
338D4×Dic79C2311yescharacteristic
339D4×Dic79C2311yescharacteristic
340#14579123—21no—
341#14579123—21no—
342#14579123C2311yescharacteristic
343C4×C22⋊D79—21no—
344C4×C22⋊D79—21no—
345C4×C22⋊D79—21no—
346C4×C22⋊D79—21no—
347C4×C22⋊D79—21no—
348C4×C22⋊D79—21no—
349C4×C22⋊D79—21no—
350C4×C22⋊D79—21no—
351(C22⋊D79)⋊C4—21no—
352(C22⋊D79)⋊C4—21no—
353(C22⋊D79)⋊C4—21no—
354#14579120—21no—
355#14579119C2311yescharacteristic
356#14579119C2311yescharacteristic
357#14579119C2311yescharacteristic
358#14579119C2311yescharacteristic
359#14579118C2311yescharacteristic
360#14579118C2311yescharacteristic
361C4⋊C4×D79—21no—
362C4⋊C4×D79—21no—
363C4⋊C4×D79—21no—
364C4⋊C4×D79—21no—
365C4⋊C4×D79C2311yescharacteristic
366C4⋊C4×D79C2311yescharacteristic
367C4⋊C4×D79C2311yescharacteristic
368C4⋊C4×D79C2311yescharacteristic
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—
375C42×D79C2311yescharacteristic
376#14579095C2311yescharacteristic
377#14579095C2311yescharacteristic
378#14579095C2311yescharacteristic
379#14579095C2311yescharacteristic
380#14579095C2311yescharacteristic
381#14579094C2311yescharacteristic
382#14579094C2311yescharacteristic
383#14579094C2311yescharacteristic
384#14579094C2311yescharacteristic
385#14579094C2311yescharacteristic
386#14579094C2311yescharacteristic
387#14579093C2311yescharacteristic
388#14579093C2311yescharacteristic
389#14579093C2311yescharacteristic
390#14579093C2311yescharacteristic
391#14579092C2311yescharacteristic
392#14579092C2311yescharacteristic
393#14579092C2311yescharacteristic
394#14579092C2311yescharacteristic
395#14579092C2311yescharacteristic
396#14579092C2311yescharacteristic
397C4⋊(C79⋊C8)C2311yescharacteristic
398C4⋊(C79⋊C8)C2311yescharacteristic
399C4⋊(C79⋊C8)C2311yescharacteristic
400Dic79⋊C8C2311yescharacteristic
401Dic79⋊C8C2311yescharacteristic
402Dic79⋊C8C2311yescharacteristic
403Dic79⋊C8C2311yescharacteristic
404#14579083C2311yescharacteristic
405#14579083C2311yescharacteristic
406#14579083C2311yescharacteristic
407#14579083C2311yescharacteristic
408#14579083C2311yescharacteristic
409#14579083C2311yescharacteristic
410#14579082C2311yescharacteristic
411#14579082C2311yescharacteristic
412#14579082C2311yescharacteristic
413#14579082C2311yescharacteristic
414#14579082C2311yescharacteristic
415#14579082C2311yescharacteristic
416#14579082C2311yescharacteristic
417#14579082C2311yescharacteristic
418#14579082C2311yescharacteristic
419#14579082C2311yescharacteristic
420#14579082C2311yescharacteristic
421#14579082C2311yescharacteristic
422#14579081C2311yescharacteristic
423#14579081C2311yescharacteristic
424#14579081C2311yescharacteristic
425#14579081C2311yescharacteristic
426(C2×D79)⋊C8C2311yescharacteristic
427(C2×D79)⋊C8C2311yescharacteristic
428(C2×D79)⋊C8C2311yescharacteristic
429(C2×D79)⋊C8C2311yescharacteristic
430(C2×D79)⋊C8C2311yescharacteristic
431(C2×D79)⋊C8C2311yescharacteristic
432#14579072C2311yescharacteristic
433#14579072C2311yescharacteristic
434C4×C79⋊C8C2311yescharacteristic
435C2×#41×C79—21no—
436C2×D8×C79C2311yescharacteristic
437C2×D8×C79C2311yescharacteristic
438C2×D8×C79C2311yescharacteristic
439C4⋊Q8×C79C2311yescharacteristic
440#127×C79C2311yescharacteristic
441#127×C79C2311yescharacteristic
442#127×C79C2311yescharacteristic
443#125×C79C2311yescharacteristic
444#125×C79C2311yescharacteristic
445C22⋊Q8×C79—21no—
446C22⋊Q8×C79—21no—
447C22⋊Q8×C79—21no—
448#121×C79—21no—
449#121×C79—21no—
450#121×C79—21no—
451C4×Q8×C79C2311yescharacteristic
452C4×D4×C79C2311yescharacteristic
453C4×D4×C79C2311yescharacteristic
454C4×D4×C79C2311yescharacteristic
455C4×D4×C79C2311yescharacteristic
456C4×D4×C79C2311yescharacteristic
457C4×D4×C79C2311yescharacteristic
458C2×C4⋊C4×C79—21no—
459#107×C79C2311yescharacteristic
460#106×C79C2311yescharacteristic
461#106×C79C2311yescharacteristic
462C4⋊C8×C79C2311yescharacteristic
463C4⋊C8×C79C2311yescharacteristic
464C4⋊C8×C79C2311yescharacteristic
465#102×C79C2311yescharacteristic
466#102×C79C2311yescharacteristic
467#102×C79C2311yescharacteristic
468#102×C79C2311yescharacteristic
469#102×C79C2311yescharacteristic
470#102×C79C2311yescharacteristic
471#102×C79C2311yescharacteristic
472#102×C79C2311yescharacteristic
473#102×C79C2311yescharacteristic
474#102×C79C2311yescharacteristic
475#97×C79C2311yescharacteristic
476#97×C79C2311yescharacteristic
477C4×C8×C79C2311yescharacteristic
478C23×D79—21no—
479C23×D79—21no—
480C23×D79—21no—
481#11929625—82no—
482#11929624—82no—
483#11929624—82no—
484#11929623—82no—
485C2×Dic158—21no—
486C2×Dic158—21no—
487C2×Dic158—21no—
488C2×D316—21no—
489C2×D316—21no—
490C2×D316—21no—
491C2×D316C2×D411yescharacteristic
492C2×D316C2×D411yescharacteristic
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⋊D79—21no—
503C2×C22⋊D79—21no—
504C2×C22⋊D79—21no—
505C2×C22⋊D79—21no—
506C2×C22⋊D79—21no—
507C2×C22⋊D79—21no—
508C2×C22⋊D79—21no—
509C2×C22⋊D79—21no—
510D4×D79—22no—
511D4×D79—22no—
512D4×D79—22no—
513D4×D79—41no—
514D4×D79—41no—
515D4×D79—41no—
516D4×D79—82no—
517D4×D79—82no—
518D4×D79—82no—
519C22×Dic79—21no—
520C22×Dic79—21no—
521C22×Dic79—21no—
522C2×C4×D79—21no—
523C2×C4×D79—21no—
524C2×C4×D79—21no—
525C2×C4×D79—21no—
526C2×C4×D79—21no—
527C2×C4×D79—21no—
528C2×C4×D79—21no—
529C2×C4×D79—21no—
530C2×C4×D79—21no—
531C2×C4×D79—21no—
532C2×C4×D79—21no—
533C2×C4×D79—21no—
534C2×C4×D79—82no—
535C2×C4×D79C2×D411yescharacteristic
536C2×C4×D79C2×D411yescharacteristic
537C2×C4×D79C2411yescharacteristic
538C2×C4×D79C2411yescharacteristic
539C2×C4×D79C2411yescharacteristic
540D632—22no—
541#11929609—22no—
542#11929609—41no—
543#11929609—41no—
544#11929609—41no—
545#11929607—41no—
546#11929607—41no—
547C2×C79⋊C8C2411yescharacteristic
548C2×C79⋊C8C2411yescharacteristic
549C2×C79⋊C8C2411yescharacteristic
550C2×C79⋊C8C2411yescharacteristic
551C8×D79—41no—
552C8×D79—41no—
553C8×D79—41no—
554C8×D79—41no—
555C4⋊Dic79—21no—
556C4⋊Dic79—21no—
557C4⋊Dic79—21no—
558C4⋊Dic79—21no—
559C4⋊Dic79C2×D411yescharacteristic
560C4⋊Dic79C2×D411yescharacteristic
561C4⋊Dic79C2×D411yescharacteristic
562C4⋊Dic79C2411yescharacteristic
563C4⋊Dic79C2411yescharacteristic
564C4⋊Dic79C2411yescharacteristic
565C4⋊Dic79C2411yescharacteristic
566C4⋊Dic79C2411yescharacteristic
567C4⋊Dic79C2411yescharacteristic
568Dic79⋊C4—21no—
569Dic79⋊C4—21no—
570Dic79⋊C4—21no—
571Dic79⋊C4—21no—
572Dic79⋊C4—21no—
573Dic79⋊C4—21no—
574Dic79⋊C4—21no—
575Dic79⋊C4—21no—
576Dic79⋊C4—21no—
577Dic79⋊C4—21no—
578Dic79⋊C4—21no—
579Dic79⋊C4—21no—
580Dic79⋊C4—21no—
581Dic79⋊C4—21no—
582Dic79⋊C4—21no—
583Dic79⋊C4—21no—
584Dic79⋊C4C2×D411yescharacteristic
585Dic79⋊C4C2×D411yescharacteristic
586Dic79⋊C4C2×D411yescharacteristic
587Dic79⋊C4C2×D411yescharacteristic
588C22⋊Dic79—21no—
589C22⋊Dic79—21no—
590C22⋊Dic79—21no—
591C22⋊Dic79—21no—
592C22⋊Dic79—21no—
593C22⋊Dic79—21no—
594C22⋊Dic79—21no—
595C22⋊Dic79—21no—
596C22⋊Dic79—21no—
597C22⋊Dic79—21no—
598C22⋊Dic79—21no—
599C22⋊Dic79—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)⋊C4—21no—
613(C2×D79)⋊C4—21no—
614(C2×D79)⋊C4C2×D411yescharacteristic
615(C2×D79)⋊C4C2×D411yescharacteristic
616(C2×D79)⋊C4C2×D411yescharacteristic
617(C2×D79)⋊C4C2×D411yescharacteristic
618(C2×D79)⋊C4C2×D411yescharacteristic
619(C2×D79)⋊C4C2×D411yescharacteristic
620(C2×D79)⋊C4C2×D411yescharacteristic
621(C2×D79)⋊C4C2×D411yescharacteristic
622(C2×D79)⋊C4C2×D411yescharacteristic
623(C2×D79)⋊C4C2×D411yescharacteristic
624C4×Dic79—21no—
625C4×Dic79—21no—
626C4×Dic79—21no—
627C4×Dic79—21no—
628C4×Dic79C2×D411yescharacteristic
629C4×Dic79C2×D411yescharacteristic
630C4×Dic79C2411yescharacteristic
631#41×C79—82no—
632C2×Q8×C79—21no—
633C2×Q8×C79C2×D411yescharacteristic
634C2×D4×C79—21no—
635C2×D4×C79—21no—
636C2×D4×C79—21no—
637C2×D4×C79—21no—
638C2×D4×C79—21no—
639C2×D4×C79—21no—
640C2×D4×C79C2411yescharacteristic
641C2×D4×C79C2411yescharacteristic
642C2×D4×C79C2411yescharacteristic
643C2×D4×C79C2411yescharacteristic
644C22×C4×C79—21no—
645C22×C4×C79—21no—
646C22×C4×C79—21no—
647C22×C4×C79—21no—
648C22×C4×C79—21no—
649C22×C4×C79—21no—
650D8×C79—41no—
651D8×C79—41no—
652D8×C79—41no—
653C2×C8×C79C2411yescharacteristic
654C2×C8×C79C2411yescharacteristic
655C2×C8×C79C2411yescharacteristic
656C2×C8×C79C2411yescharacteristic
657C4⋊C4×C79—21no—
658C4⋊C4×C79—21no—
659C4⋊C4×C79—21no—
660C4⋊C4×C79—21no—
661C4⋊C4×C79—21no—
662C4⋊C4×C79C2×D411yescharacteristic
663C4⋊C4×C79C2×D411yescharacteristic
664C4⋊C4×C79C2×D411yescharacteristic
665C4⋊C4×C79C2411yescharacteristic
666C4⋊C4×C79C2411yescharacteristic
667C4⋊C4×C79C2411yescharacteristic
668C4⋊C4×C79C2411yescharacteristic
669C22⋊C4×C79—21no—
670C22⋊C4×C79—21no—
671C22⋊C4×C79—21no—
672C22⋊C4×C79—21no—
673C22⋊C4×C79—21no—
674C22⋊C4×C79—21no—
675C42×C79C2411yescharacteristic
676C42×C79C2411yescharacteristic
677C42×C79C2411yescharacteristic
678C23×C79—21no—
679C23×C79—21no—
680C23×C79—21no—
681C23×C79—21no—
682C22×D79—21no—
683C22×D79—21no—
684C22×D79—42no—
685C22×D79—42no—
686C22×D79—42no—
687C22×D79—42no—
688C22×D79—81no—
689C22×D79—81no—
690C22×D79—81no—
691C22×D79—81no—
692C22×D79—81no—
693C22×D79C22×D411yescharacteristic
694C22×D79C22×D411yescharacteristic
695C22×D79C22×D411yescharacteristic
696Q8×C79—41no—
697Q8×C79—81no—
698D4×C79—21no—
699D4×C79—21no—
700D4×C79—21no—
701D4×C79—21no—
702D4×C79—21no—
703D4×C79—21no—
704D4×C79—21no—
705D4×C79—21no—
706D4×C79—42no—
707D4×C79—81no—
708D4×C79—81no—
709D4×C79—81no—
710D4×C79—81no—
711D4×C79—81no—
712C2×C4×C79—21no—
713C2×C4×C79—21no—
714C2×C4×C79—21no—
715C2×C4×C79—21no—
716C2×C4×C79—42no—
717C2×C4×C79—81no—
718C2×C4×C79—81no—
719C2×C4×C79—81no—
720C2×C4×C79—81no—
721C2×C4×C79—81no—
722C2×C4×C79C22×D411yescharacteristic
723C2×C4×C79C22×D411yescharacteristic
724C2×C4×C79C22×D411yescharacteristic
725C2×C4×C79C22×D411yescharacteristic
726C2×C4×C79C22×D411yescharacteristic
727C2×C4×C79C22×D411yescharacteristic
728C2×C4×C79C2511yescharacteristic
729C22⋊D79—42no—
730C22⋊D79—42no—
731C22⋊D79—42no—
732C22⋊D79—42no—
733C22⋊D79—42no—
734C22⋊D79—42no—
735C22⋊D79—81no—
736C22⋊D79—81no—
737C22⋊D79—81no—
738C22⋊D79—81no—
739C22⋊D79—81no—
740C22⋊D79—81no—
741C22⋊D79—81no—
742C22⋊D79—81no—
743C2×Dic79—21no—
744C2×Dic79—21no—
745C2×Dic79—21no—
746C2×Dic79—21no—
747C2×Dic79—21no—
748C2×Dic79—21no—
749C2×Dic79—81no—
750C2×Dic79—81no—
751C2×Dic79—81no—
752C2×Dic79C22×D411yescharacteristic
753C2×Dic79C22×D411yescharacteristic
754C2×Dic79C22×D411yescharacteristic
755C2×Dic79C22×D411yescharacteristic
756C2×Dic79C22×D411yescharacteristic
757D316—22no—
758D316—22no—
759D316—21no—
760D316—21no—
761D316—21no—
762D316—41no—
763D316—42no—
764D316—81no—
765D316—81no—
766D3162−1+412yes—
767C4×D79—22no—
768C4×D79—21no—
769C4×D79—21no—
770C4×D79—21no—
771C4×D79—21no—
772C4×D79—21no—
773C4×D79—21no—
774C4×D79—41no—
775C4×D79—42no—
776C4×D79—42no—
777C4×D79—81no—
778C4×D79—81no—
779C4×D79—81no—
780C4×D79—81no—
781C4×D79—81no—
782C4×D79—81no—
783C4×D79—81no—
784C4×D79—81no—
785C4×D79—81no—
786C4×D79—81no—
787Dic158—81no—
788Dic158—81no—
789Dic158—81no—
790C8×C79—21no—
791C8×C79—21no—
792C8×C79—21no—
793C8×C79—21no—
794C79⋊C8—21no—
795C79⋊C8—21no—
796C79⋊C8—21no—
797C79⋊C8—21no—
798C22×C79—41no—
799C22×C79—41no—
800C22×C79—41no—
801C22×C79—41no—
802C22×C79—41no—
803C22×C79—41no—
804C22×C79—41no—
805C22×C79—41no—
806C22×C79—41no—
807C22×C79—41no—
808C22×C79—41no—
809C22×C79—41no—
810C22×C79C23×D411yescharacteristic
811C2×D79—21no—
812C2×D79—21no—
813C2×D79—21no—
814C2×D79—21no—
815C2×D79—22no—
816C2×D79—21no—
817C2×D79—21no—
818C2×D79—21no—
819C2×D79—21no—
820C2×D79—41no—
821C2×D79—41no—
822C2×D79—41no—
823C2×D79—41no—
824C2×D79—41no—
825C2×D79—84no—
826C2×D79—162no—
827C2×D79—162no—
828C2×D79#57612yes—
829C4×C79—21no—
830C4×C79—21no—
831C4×C79—21no—
832C4×C79—21no—
833C4×C79—21no—
834C4×C79—21no—
835C4×C79—41no—
836C4×C79—41no—
837C4×C79—41no—
838C4×C79—41no—
839C4×C79C2×2−1+411yescharacteristic
840C4×C79#58511yescharacteristic
841Dic79—21no—
842Dic79—21no—
843Dic79—21no—
844Dic79—21no—
845Dic79—21no—
846Dic79—41no—
847Dic79—41no—
848Dic79—41no—
849Dic79—41no—
850Dic79—41no—
851Dic79—41no—
852#62163—791nomaximal, Sylow
853C2×C79—81no—
854C2×C79—81no—
855C2×C79—81no—
856C2×C79—81no—
857C2×C79#348911yescharacteristic
858C2×C79C2×#57611yescharacteristic
859C2×C79#358511yescharacteristic
860D79—22no—
861D79—41no—
862D79—41no—
863D79—42no—
864D79—81no—
865#3559—791no—
866#3519—791no—
867#3389—791no—
868#3389—791no—
869#3366—791no—
870#3366D7911yescharacteristic, complemented
871#3347—791no—
872#3347—791no—
873#3345—791no—
874#3345—791no—
875#3339—791no—
876#3339—791no—
877#3318—791no—
878#3318—791no—
879#3318—791no—
880#3318—791no—
881#3294—791no—
882#3294—791no—
883#3259—791no—
884#3259—791no—
885#3245—791no—
886#3241—791no—
887#3241—791no—
888#3234—791no—
889#3122—791no—
890#3122—791no—
891#3109—791no—
892#3081—791no—
893#3081—791no—
894C2×#478—791no—
895#2992—791no—
896C79#6216311yescharacteristic, complemented, Sylow
897#563—1581no—
898#562—1581no—
899#555—791no—
900#554—791no—
901#554—791no—
902#554C2×D7911yescharacteristic, complemented
903#553—791no—
904#553—791no—
905#553—791no—
906#553—791no—
907#553—791no—
908#553—791no—
909#553—1581no—
910#550C2×D7911yescharacteristic
911#547—791no—
912#547—791no—
913#547—1581no—
914#547—1581no—
915#546—1581no—
916#546—1581no—
917#546—1581no—
918D42—791no—
919D42—791no—
920D42—791no—
921#544—791no—
922#544—791no—
923#540—791no—
924#540—791no—
925#540—791no—
926#540—791no—
927#539—1581no—
928#539—1581no—
929#539—1581no—
930#538—1581no—
931#538—1581no—
932#537—1581no—
933#532—791no—
934#532—791no—
935#529—791no—
936C2×#125—791no—
937#525—1581no—
938C2×#121—1581no—
939#518—791no—
940#518—791no—
941C2×C4×D4—791no—
942#501—791no—
943#501—791no—
944#501—791no—
945#501—791no—
946#499—791no—
947#499—791no—
948#490—791no—
949#490—791no—
950#490C2×D7911yescharacteristic, complemented
951#490C2×D7911yescharacteristic, complemented
952#486—791no—
953#486C2×D7911yescharacteristic, complemented
954#482—791no—
955#482—791no—
956#482—791no—
957#482—791no—
958#482—791no—
959#482—791no—
960#482—791no—
961#482—791no—
962#481—791no—
963#481—791no—
964#481—791no—
965#481—791no—
966#481—791no—
967#481—791no—
968#480—791no—
969#480—791no—
970#480—791no—
971#480—791no—
972#478—791no—
973#478—791no—
974#478—791no—
975#478—791no—
976#478—791no—
977#478—791no—
978#478—791no—
979#478—791no—
980#478—791no—
981#478—791no—
982#478—791no—
983#478—791no—
984#478—791no—
985#478—791no—
986#478—791no—
987#478—791no—
988#478—791no—
989#478—791no—
990#478C2×D7911yescharacteristic, complemented
991#478C2×D7911yescharacteristic, complemented
992#476—791no—
993#476—791no—
994#476—791no—
995#476C2×D7911yescharacteristic, complemented
996#474—791no—
997#474—791no—
998#474—791no—
999#474—791no—
1000#474—791no—
1001#474—791no—
1002#469—791no—
1003#469—791no—
1004#469—791no—
1005#469—791no—
1006#466—791no—
1007#466—791no—
1008#466—791no—
1009#466—791no—
1010#466—791no—
1011#466—791no—
1012#466—791no—
1013#466—791no—
1014#459—791no—
1015#459—791no—
1016#459—791no—
1017#459—791no—
1018#459—791no—
1019#459—791no—
1020#459—791no—
1021#459C2×D7911yescharacteristic, complemented
1022#459C2×D7911yescharacteristic, complemented
1023#459C2×D7911yescharacteristic, complemented
1024#447—791no—
1025#447—791no—
1026#447—791no—
1027#447—791no—
1028#447—791no—
1029#447—791no—
1030#446—791no—
1031#446C2×D7911yescharacteristic, complemented
1032#442—791no—
1033#442—791no—
1034#442—791no—
1035#442—791no—
1036#442—791no—
1037#442—791no—
1038#442C2×D7911yescharacteristic, complemented
1039#442C2×D7911yescharacteristic, complemented
1040C4×D8—791no—
1041C4×D8—791no—
1042C4×D8—791no—
1043C4×D8C2×D7911yescharacteristic, complemented
1044#435—791no—
1045#435—791no—
1046#435—791no—
1047#435—791no—
1048C8×D4—791no—
1049C8×D4—791no—
1050#433—791no—
1051#433—791no—
1052#432—791no—
1053#428—791no—
1054#428—791no—
1055#427—791no—
1056#427—791no—
1057C2×#107—791no—
1058C2×#106—791no—
1059#424—791no—
1060#424—791no—
1061C2×C4⋊C8—791no—
1062#418—791no—
1063#418—791no—
1064C2×#102—791no—
1065C2×#102—791no—
1066C2×#102—791no—
1067C2×#102—791no—
1068C2×#41—21no—
1069C2×#41—1581no—
1070C2×#41—1581no—
1071C2×#41—1581no—
1072C2×#41—1581no—
1073C22×D4—791no—
1074C22×D4—791no—
1075C22×D4—791no—
1076C22×D4—1581no—
1077C22×D4—1581no—
1078C22×D4—1581no—
1079C23×C4—1581no—
1080C2×D8—791no—
1081C2×D8—791no—
1082C2×D8—791no—
1083C2×D8—791no—
1084C2×D8—791no—
1085C2×D8C22×D7911yescharacteristic
1086C2×D8C22×D7911yescharacteristic
1087C2×D8C22×D7911yescharacteristic
1088C2×M16—791no—
1089C2×M16—791no—
1090C22×C8—791no—
1091C22×C8—791no—
1092C22×C8—791no—
1093C22×C8—791no—
1094C4⋊Q8—791no—
1095C4⋊Q8—791no—
1096C4⋊Q8—791no—
1097C4⋊Q8—1581no—
1098C4⋊Q8—1581no—
1099C4⋊Q8C22×D7911yescharacteristic
1100#127—791no—
1101#127C22×D7911yescharacteristic
1102#127C22×D7911yescharacteristic
1103#127C22×D7911yescharacteristic
1104#126—791no—
1105#126—791no—
1106#126—1581no—
1107#126—1581no—
1108#126—1581no—
1109#126—1581no—
1110#126—1581no—
1111#126—1581no—
1112#125—791no—
1113#125—791no—
1114#125—791no—
1115#125—791no—
1116#125—791no—
1117#125—791no—
1118#125—791no—
1119#125—1581no—
1120#125—1581no—
1121#125—1581no—
1122#125—1581no—
1123#125C22×D7911yescharacteristic
1124#125C22×D7911yescharacteristic
1125#124—791no—
1126#124—1581no—
1127#124—1581no—
1128#124—1581no—
1129#124—1581no—
1130#123—791no—
1131#123—791no—
1132#123—1581no—
1133#123—1581no—
1134#123—1581no—
1135#123—1581no—
1136#123—1581no—
1137#123—1581no—
1138#123—1581no—
1139#123—1581no—
1140#123—1581no—
1141#123—1581no—
1142#123—1581no—
1143#123—1581no—
1144#123—1581no—
1145#123—1581no—
1146#123—1581no—
1147#123—1581no—
1148#123—1581no—
1149#123—1581no—
1150C22⋊Q8—21no—
1151C22⋊Q8—21no—
1152C22⋊Q8—21no—
1153C22⋊Q8—791no—
1154C22⋊Q8—1581no—
1155C22⋊Q8—1581no—
1156C22⋊Q8—1581no—
1157C22⋊Q8—1581no—
1158C22⋊Q8—1581no—
1159C22⋊Q8—1581no—
1160C22⋊Q8—1581no—
1161C22⋊Q8—1581no—
1162C22⋊Q8—1581no—
1163C22⋊Q8—1581no—
1164C22⋊Q8—1581no—
1165C22⋊Q8—1581no—
1166#121—21no—
1167#121—21no—
1168#121—21no—
1169#121—791no—
1170#121—791no—
1171#121—791no—
1172#121—791no—
1173#121—791no—
1174#121—791no—
1175#121—791no—
1176#121—791no—
1177#121—791no—
1178#121—791no—
1179#121—791no—
1180#121—791no—
1181#121—791no—
1182#121—1581no—
1183#121—1581no—
1184#121—1581no—
1185#121—1581no—
1186#121—1581no—
1187#121—1581no—
1188#121—1581no—
1189#121—1581no—
1190#121—1581no—
1191#121—1581no—
1192#121—1581no—
1193#121—1581no—
1194#121—1581no—
1195#121—1581no—
1196#121—1581no—
1197#121—1581no—
1198#121—1581no—
1199#121—1581no—
1200#121—1581no—
1201#121—1581no—
1202#120—1581no—
1203#120—1581no—
1204#120—1581no—
1205#120—1581no—
1206#120—1581no—
1207#120—1581no—
1208C4×Q8C22×D7911yescharacteristic
1209C4×D4—791no—
1210C4×D4—791no—
1211C4×D4—791no—
1212C4×D4—791no—
1213C4×D4—791no—
1214C4×D4—791no—
1215C4×D4—791no—
1216C4×D4—791no—
1217C4×D4—791no—
1218C4×D4—791no—
1219C4×D4—791no—
1220C4×D4—791no—
1221C4×D4—791no—
1222C4×D4—1581no—
1223C4×D4—1581no—
1224C4×D4—1581no—
1225C4×D4—1581no—
1226C4×D4—1581no—
1227C4×D4—1581no—
1228C4×D4—1581no—
1229C4×D4—1581no—
1230C4×D4—1581no—
1231C4×D4—1581no—
1232C4×D4—1581no—
1233C4×D4—1581no—
1234C4×D4—1581no—
1235C4×D4—1581no—
1236C4×D4C22×D7911yescharacteristic
1237C4×D4C22×D7911yescharacteristic
1238C4×D4C22×D7911yescharacteristic
1239C4×D4C22×D7911yescharacteristic
1240C4×D4C22×D7911yescharacteristic
1241C4×D4C22×D7911yescharacteristic
1242#117—791no—
1243#117—791no—
1244#117—791no—
1245#117—791no—
1246#117—791no—
1247#117—791no—
1248#117—1581no—
1249C2×C4⋊C4—21no—
1250C2×C4⋊C4—791no—
1251C2×C4⋊C4—791no—
1252C2×C4⋊C4—791no—
1253C2×C4⋊C4—791no—
1254C2×C4⋊C4—791no—
1255C2×C4⋊C4—1581no—
1256C2×C4⋊C4—1581no—
1257C2×C4⋊C4—1581no—
1258C2×C4⋊C4—1581no—
1259C2×C22⋊C4—1581no—
1260C2×C22⋊C4—1581no—
1261C2×C22⋊C4—1581no—
1262C2×C22⋊C4—1581no—
1263C2×C22⋊C4—1581no—
1264C2×C42—791no—
1265#107—791no—
1266#107—791no—
1267#107—791no—
1268#107—791no—
1269#107—791no—
1270#107—791no—
1271#107—791no—
1272#107—791no—
1273#107—791no—
1274#107—791no—
1275#107—791no—
1276#107C22×D7911yescharacteristic
1277#106—791no—
1278#106—791no—
1279#106—791no—
1280#106—791no—
1281#106—791no—
1282#106—791no—
1283#106—791no—
1284#106—791no—
1285#106—791no—
1286#106—791no—
1287#106C22×D7911yescharacteristic
1288#106C22×D7911yescharacteristic
1289C4⋊C8—791no—
1290C4⋊C8—791no—
1291C4⋊C8—791no—
1292C4⋊C8—791no—
1293C4⋊C8—791no—
1294C4⋊C8—791no—
1295C4⋊C8—791no—
1296C4⋊C8C22×D7911yescharacteristic
1297C4⋊C8C22×D7911yescharacteristic
1298C4⋊C8C22×D7911yescharacteristic
1299#102—791no—
1300#102—791no—
1301#102—791no—
1302#102—791no—
1303#102—791no—
1304#102—791no—
1305#102—791no—
1306#102—791no—
1307#102—791no—
1308#102—791no—
1309#102—791no—
1310#102—791no—
1311#102—791no—
1312#102—791no—
1313#102—791no—
1314#102—791no—
1315#102—791no—
1316#102—791no—
1317#102—791no—
1318#102—791no—
1319#102—791no—
1320#102—791no—
1321#102C22×D7911yescharacteristic
1322#102C22×D7911yescharacteristic
1323#102C22×D7911yescharacteristic
1324#102C22×D7911yescharacteristic
1325#102C22×D7911yescharacteristic
1326#102C22×D7911yescharacteristic
1327#102C22×D7911yescharacteristic
1328#102C22×D7911yescharacteristic
1329#102C22×D7911yescharacteristic
1330#102C22×D7911yescharacteristic
1331C22⋊C8—791no—
1332C22⋊C8—791no—
1333C22⋊C8—791no—
1334C22⋊C8—791no—
1335C22⋊C8—791no—
1336C22⋊C8—791no—
1337#97—791no—
1338#97—791no—
1339#97C22×D7911yescharacteristic
1340#97C22×D7911yescharacteristic
1341C4×C8—791no—
1342C4×C8C22×D7911yescharacteristic
1343C24—1581no—
1344C24—1581no—
1345C24—1581no—
1346#41—82no—
1347#41—6322no—
1348#41—6322no—
1349#41—6322no—
1350#41—6322no—
1351C2×Q8—21no—
1352C2×Q8—1581no—
1353C2×Q8—1581no—
1354C2×Q8—1581no—
1355C2×Q8D4×D7911yescharacteristic
1356C2×D4—21no—
1357C2×D4—21no—
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—3161no—
1363C2×D4—3161no—
1364C2×D4—3161no—
1365C2×D4—791no—
1366C2×D4—791no—
1367C2×D4—791no—
1368C2×D4—791no—
1369C2×D4—791no—
1370C2×D4—6322no—
1371C2×D4—6322no—
1372C2×D4—6322no—
1373C2×D4—1581no—
1374C2×D4—1581no—
1375C2×D4—1581no—
1376C2×D4—1581no—
1377C2×D4—1581no—
1378C2×D4—1581no—
1379C2×D4—1581no—
1380C2×D4—1581no—
1381C2×D4—1582no—
1382C2×D4—1582no—
1383C2×D4—1582no—
1384C2×D4—1581no—
1385C2×D4—1581no—
1386C2×D4—1581no—
1387C2×D4—1581no—
1388C2×D4—1581no—
1389C2×D4—1581no—
1390C2×D4—1581no—
1391C2×D4—1581no—
1392C2×D4—1581no—
1393C2×D4C23×D7911yescharacteristic
1394C2×D4C23×D7911yescharacteristic
1395C2×D4C23×D7911yescharacteristic
1396C2×D4C23×D7911yescharacteristic
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—21no—
1403C22×C4—791no—
1404C22×C4—791no—
1405C22×C4—791no—
1406C22×C4—791no—
1407C22×C4—791no—
1408C22×C4—6322no—
1409C22×C4—1581no—
1410C22×C4—1581no—
1411C22×C4—1581no—
1412C22×C4—1581no—
1413C22×C4—1581no—
1414C22×C4—1581no—
1415C22×C4—1581no—
1416C22×C4—1581no—
1417C22×C4—1581no—
1418C22×C4—1581no—
1419C22×C4—1581no—
1420C22×C4—1581no—
1421C22×C4—1581no—
1422C22×C4—1581no—
1423C22×C4—1581no—
1424D8—41no—
1425D8—41no—
1426D8—41no—
1427D8—3161no—
1428D8—3161no—
1429D8—3161no—
1430D8—1582no—
1431D8—1582no—
1432M16—3161no—
1433M16—3161no—
1434C2×C8—3161no—
1435C2×C8—3161no—
1436C2×C8—3161no—
1437C2×C8—3161no—
1438C2×C8—791no—
1439C2×C8—791no—
1440C2×C8—791no—
1441C2×C8—791no—
1442C2×C8C23×D7911yescharacteristic
1443C2×C8C23×D7911yescharacteristic
1444C2×C8C23×D7911yescharacteristic
1445C2×C8C23×D7911yescharacteristic
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—791no—
1452C4⋊C4—791no—
1453C4⋊C4—791no—
1454C4⋊C4—791no—
1455C4⋊C4—791no—
1456C4⋊C4—791no—
1457C4⋊C4—791no—
1458C4⋊C4—791no—
1459C4⋊C4—791no—
1460C4⋊C4—791no—
1461C4⋊C4—791no—
1462C4⋊C4—791no—
1463C4⋊C4—791no—
1464C4⋊C4—1581no—
1465C4⋊C4—1581no—
1466C4⋊C4—1581no—
1467C4⋊C4—1581no—
1468C4⋊C4—1581no—
1469C4⋊C4—1581no—
1470C4⋊C4—1581no—
1471C4⋊C4—1581no—
1472C4⋊C4—1581no—
1473C4⋊C4—1581no—
1474C4⋊C4—1581no—
1475C4⋊C4—1581no—
1476C4⋊C4—1581no—
1477C4⋊C4—1581no—
1478C4⋊C4—1581no—
1479C4⋊C4—1581no—
1480C4⋊C4—1581no—
1481C4⋊C4—1581no—
1482C4⋊C4—1581no—
1483C4⋊C4—1581no—
1484C4⋊C4D4×D7911yescharacteristic
1485C4⋊C4D4×D7911yescharacteristic
1486C4⋊C4D4×D7911yescharacteristic
1487C4⋊C4C23×D7911yescharacteristic
1488C4⋊C4C23×D7911yescharacteristic
1489C4⋊C4C23×D7911yescharacteristic
1490C4⋊C4C23×D7911yescharacteristic
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—791no—
1498C22⋊C4—791no—
1499C22⋊C4—791no—
1500C22⋊C4—791no—
1501C22⋊C4—791no—
1502C22⋊C4—791no—
1503C22⋊C4—791no—
1504C22⋊C4—791no—
1505C22⋊C4—791no—
1506C22⋊C4—791no—
1507C22⋊C4—1581no—
1508C22⋊C4—1581no—
1509C22⋊C4—1581no—
1510C22⋊C4—1581no—
1511C22⋊C4—1581no—
1512C22⋊C4—1581no—
1513C22⋊C4—1581no—
1514C22⋊C4—1581no—
1515C22⋊C4—1581no—
1516C22⋊C4—1581no—
1517C22⋊C4—1581no—
1518C22⋊C4—1581no—
1519C22⋊C4—1581no—
1520C22⋊C4—1581no—
1521C22⋊C4—1581no—
1522C22⋊C4—1581no—
1523C22⋊C4—1581no—
1524C22⋊C4—1581no—
1525C22⋊C4—1581no—
1526C22⋊C4—1581no—
1527C22⋊C4—1581no—
1528C22⋊C4—1581no—
1529C22⋊C4—1581no—
1530C22⋊C4—1581no—
1531C22⋊C4—1581no—
1532C22⋊C4—1581no—
1533C42—791no—
1534C42—791no—
1535C42—791no—
1536C42—1581no—
1537C42—1581no—
1538C42—1581no—
1539C42—1581no—
1540C42C23×D7911yescharacteristic
1541C42C23×D7911yescharacteristic
1542C42C23×D7911yescharacteristic
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—3162no—
1548C23—3162no—
1549C23—3162no—
1550C23—3162no—
1551C23—791no—
1552C23—791no—
1553C23—791no—
1554C23—6321no—
1555C23—6321no—
1556C23—6321no—
1557C23—6321no—
1558C23—6321no—
1559C23—1581no—
1560C23—1581no—
1561Q8—41no—
1562Q8—81no—
1563Q8—6321no—
1564Q8—6321no—
1565Q8—6321no—
1566D4—21no—
1567D4—21no—
1568D4—21no—
1569D4—21no—
1570D4—21no—
1571D4—21no—
1572D4—21no—
1573D4—21no—
1574D4—42no—
1575D4—81no—
1576D4—81no—
1577D4—81no—
1578D4—81no—
1579D4—81no—
1580D4—3161no—
1581D4—3162no—
1582D4—3162no—
1583D4—3162no—
1584D4—3162no—
1585D4—3162no—
1586D4—3162no—
1587D4—3162no—
1588D4—792no—
1589D4—6321no—
1590D4—6321no—
1591D4—6321no—
1592D4—6321no—
1593D4—6321no—
1594D4—6321no—
1595D4—6321no—
1596D4—6321no—
1597D4—6321no—
1598D4—6321no—
1599D4—1582no—
1600D4—1582no—
1601D4—1581no—
1602D4—1581no—
1603D4—1581no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—42no—
1609C2×C4—81no—
1610C2×C4—81no—
1611C2×C4—81no—
1612C2×C4—81no—
1613C2×C4—81no—
1614C2×C4—3162no—
1615C2×C4—3161no—
1616C2×C4—3162no—
1617C2×C4—791no—
1618C2×C4—791no—
1619C2×C4—791no—
1620C2×C4—791no—
1621C2×C4—791no—
1622C2×C4—6321no—
1623C2×C4—6321no—
1624C2×C4—6321no—
1625C2×C4—6321no—
1626C2×C4—6321no—
1627C2×C4—6321no—
1628C2×C4—6321no—
1629C2×C4—6321no—
1630C2×C4—6321no—
1631C2×C4—6321no—
1632C2×C4—6321no—
1633C2×C4—6321no—
1634C2×C4—6321no—
1635C2×C4—1582no—
1636C2×C4—1581no—
1637C2×C4—1581no—
1638C2×C4—1581no—
1639C2×C4—1581no—
1640C2×C4—1581no—
1641C2×C4—1581no—
1642C2×C4—1581no—
1643C2×C4—1581no—
1644C2×C4—1581no—
1645C2×C4—1581no—
1646C2×C4—1581no—
1647C2×C4—1581no—
1648C2×C4C2×D4×D7911yescharacteristic
1649C2×C4C2×D4×D7911yescharacteristic
1650C2×C4C2×D4×D7911yescharacteristic
1651C2×C4C2×D4×D7911yescharacteristic
1652C2×C4C2×D4×D7911yescharacteristic
1653C2×C4C2×D4×D7911yescharacteristic
1654C2×C4C24×D7911yescharacteristic
1655C8—21no—
1656C8—21no—
1657C8—21no—
1658C8—21no—
1659C8—1581no—
1660C8—1581no—
1661C8—1581no—
1662C8—1581no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—3161no—
1676C22—3161no—
1677C22—3161no—
1678C22—3161no—
1679C22—3161no—
1680C22—792no—
1681C22—6324no—
1682C22—1581no—
1683C22—1581no—
1684C22—1582no—
1685C22—1581no—
1686C22—1581no—
1687C22—1581no—
1688C22—1581no—
1689C22—1581no—
1690C22—1581no—
1691C22—12642no—
1692C22—12642no—
1693C22C22×D4×D7911yescharacteristic
1694C4—21no—
1695C4—21no—
1696C4—21no—
1697C4—21no—
1698C4—21no—
1699C4—21no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—3161no—
1705C4—3161no—
1706C4—3161no—
1707C4—3161no—
1708C4—3161no—
1709C4—3161no—
1710C4—1581no—
1711C4—1581no—
1712C4—1581no—
1713C4—1581no—
1714C4—1581no—
1715C42−1+4×D7911yescharacteristic
1716C4#1909939911yescharacteristic
1717C2—81no—
1718C2—81no—
1719C2—81no—
1720C2—81no—
1721C2—3162no—
1722C2—3161no—
1723C2—3161no—
1724C2—6321no—
1725C2—1582no—
1726C2#2377707911yescharacteristic
1727C2#576×D7911yescharacteristic
1728C2#2377817611yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3366C2
socleC22×C79C23×D4
hypercenter#3366D79
hypocenterC79#62163
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3366

Complements

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

NH ≅ G/Ntype
1. #23777935C2semidirect
2. #23777431C2semidirect
3. #23776360C2semidirect
4. #23776354C2semidirect
5. #23776103C2semidirect
6. #23775905C2semidirect
7. #23775897C2semidirect
8. #23775877C2semidirect
9. #23775875C2semidirect
10. #23775804C2semidirect
11. #23775799C2semidirect
12. #23775548C2semidirect
13. #23775548C2semidirect
14. #23775540C2semidirect
15. #23775540C2semidirect
16. #23775216C2semidirect
17. #23775212C2semidirect
18. #23774837C2semidirect
19. #23774837C2semidirect
20. #23774708C2semidirect
21. #23774648C2semidirect
22. #23774646C2semidirect
23. #23774585C2semidirect
24. #23773642C2semidirect
25. #23773640C2semidirect
26. #23773489C2semidirect
27. #23773228C2semidirect
28. #23773226C2semidirect
29. #478×D79C2semidirect
30. #23772538C2semidirect
31. C79×#3366C2semidirect
36. #19099273C22semidirect
37. #19099266C22semidirect
38. #19099266C22semidirect
41. #19099263C22semidirect
42. #19099263C22semidirect
44. #19099218C22semidirect
45. #19099216C22semidirect
54. #19099193C22semidirect
55. #19099190C22semidirect
58. #19099164C22semidirect
59. #19099164C22semidirect
67. #19099110C22semidirect
69. #125×D79C22semidirect
75. #19098973C22semidirect
76. #19098972C22semidirect
77. #19098972C22semidirect
78. #19098969C22semidirect
79. #19098965C22semidirect
80. #19098962C22semidirect
81. #19098927C22semidirect
82. #19098927C22semidirect
83. #19098909C22semidirect
84. #19098890C22semidirect
85. #19098889C22semidirect
86. #19098886C22semidirect
87. #19098886C22semidirect
88. #19098886C22semidirect
89. #19098885C22semidirect
90. #19098885C22semidirect
91. #19098885C22semidirect
92. #19098883C22semidirect
93. #19098880C22semidirect
94. #19098880C22semidirect
95. #19098880C22semidirect
96. #19098880C22semidirect
97. #19098880C22semidirect
98. #19098875C22semidirect
99. #19098875C22semidirect
100. #19098875C22semidirect
101. #19098875C22semidirect
103. #19098865C22semidirect
104. #19098865C22semidirect
105. #19098865C22semidirect
108. #19098864C22semidirect
109. #19098864C22semidirect
110. #19098863C22semidirect
111. #19098863C22semidirect
112. #19098863C22semidirect
113. #19098863C22semidirect
115. #19098861C22semidirect
116. #19098861C22semidirect
117. #19098861C22semidirect
120. #19098853C22semidirect
122. #19098851C22semidirect
124. #19098844C22semidirect
125. #19098843C22semidirect
126. #19098841C22semidirect
127. #19098841C22semidirect
129. #19098815C22semidirect
130. #19098815C22semidirect
131. #19098813C22semidirect
132. #19098813C22semidirect
133. #19098798C22semidirect
134. #19098798C22semidirect
135. #19098798C22semidirect
136. #19098798C22semidirect
137. #19098796C22semidirect
138. #19098796C22semidirect
139. #19098796C22semidirect
140. #19098796C22semidirect
142. #19098756C22semidirect
143. #19098756C22semidirect
144. #19098756C22semidirect
145. #19098755C22semidirect
146. #19098755C22semidirect
147. #19098755C22semidirect
154. #19098694C22semidirect
159. #19098673C22semidirect
160. #19098673C22semidirect
163. C4×#11929609C22semidirect
164. #19098636C22semidirect
165. #19098636C22semidirect
166. #19098633C22semidirect
167. #19098633C22semidirect
168. C8×D316C22semidirect
169. #19098628C22semidirect
170. #19098625C22semidirect
171. #19098622C22semidirect
172. #19098618C22semidirect
173. #19098602C22semidirect
174. #19098602C22semidirect
175. #19098600C22semidirect
176. #19098598C22semidirect
177. #107×D79C22semidirect
178. #106×D79C22semidirect
179. #19098588C22semidirect
180. #19098588C22semidirect
181. C4⋊C8×D79C22semidirect
188. #554×C79C22semidirect
190. #490×C79C22semidirect
191. #490×C79C22semidirect
192. #486×C79C22semidirect
193. #478×C79C22semidirect
194. #478×C79C22semidirect
195. #476×C79C22semidirect
196. #459×C79C22semidirect
197. #459×C79C22semidirect
198. #459×C79C22semidirect
199. #446×C79C22semidirect
200. #442×C79C22semidirect
201. #442×C79C22semidirect
202. C4×D8×C79C22semidirect
870. #3366D79semidirect
896. C79#62163semidirect
902. #554C2×D79semidirect
950. #490C2×D79semidirect
951. #490C2×D79semidirect
953. #486C2×D79semidirect
990. #478C2×D79semidirect
991. #478C2×D79semidirect
995. #476C2×D79semidirect
1021. #459C2×D79semidirect
1022. #459C2×D79semidirect
1023. #459C2×D79semidirect
1031. #446C2×D79semidirect
1038. #442C2×D79semidirect
1039. #442C2×D79semidirect
1043. C4×D8C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779352
#237774312
#237763602
#237763542
#237761032
#237759052
#237758972
#237758772
#237758752
#237758042
#237757992
#237755482
#237755402
#237752162
#237752122
#237748372
#237747082
#237746482
#237746462
#237745852
#237736422
#237736402
#237734892
#237732282
#237732262
#478×D792
#237725382
C79×#33662
#6216379