Finite Group Databasebeta

← #3388×D79 #35168788

Subgroups — #3388×D79 #35168788

Order 20224.

1822 conjugacy classes of subgroups.

The subgroup lattice has 1612 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#557×D79C211yesmaximal, characteristic, complemented
2#554×D79C211yesmaximal, characteristic
3#23776352C211yesmaximal, characteristic, complemented
4#23776351C211yesmaximal, characteristic, complemented
5#23776350C211yesmaximal, characteristic, complemented
6#23776349C211yesmaximal, characteristic, complemented
7#23776348C211yesmaximal, characteristic, complemented
8#23776347C211yesmaximal, characteristic, complemented
9#23776346C211yesmaximal, characteristic, complemented
10#23776345C211yesmaximal, characteristic, complemented
11#23776344C211yesmaximal, characteristic, complemented
12#23776343C211yesmaximal, characteristic, complemented
13#23776342C211yesmaximal, characteristic, complemented
14#23776341C211yesmaximal, characteristic, complemented
15#23776340C211yesmaximal, characteristic, complemented
16#23776339C211yesmaximal, characteristic, complemented
17#23776338C211yesmaximal, characteristic, complemented
18#501×D79C211yesmaximal, characteristic, complemented
19#501×D79C211yesmaximal, characteristic, complemented
20#499×D79C211yesmaximal, characteristic, complemented
21#479×D79C211yesmaximal, characteristic, complemented
22#479×D79C211yesmaximal, characteristic, complemented
23#475×D79C211yesmaximal, characteristic, complemented
24#478×D79C211yesmaximal, characteristic
25#478×D79C211yesmaximal, characteristic
26#476×D79C211yesmaximal, characteristic
27#446×D79C211yesmaximal, characteristic, complemented
28#440×D79C211yesmaximal, characteristic
29#440×D79C211yesmaximal, characteristic
30C4×SD16×D79C211yesmaximal, characteristic
31C79×#3388C211yesmaximal, characteristic, complemented
32C2×SD16×D79C2211yescharacteristic
33#19099292C2211yescharacteristic, complemented
34#19099291—21no—
35#19099291C2211yescharacteristic, complemented
36#19099290—21no—
37#19099290—21no—
38#19099290C2211yescharacteristic, complemented
39#19099290C2211yescharacteristic, complemented
40#19099289C2211yescharacteristic, complemented
41#19099289C2211yescharacteristic, complemented
42#19099288—21no—
43#19099288C2211yescharacteristic, complemented
44#19099274C2211yescharacteristic
45#19099273C2211yescharacteristic
46#19099272C2211yescharacteristic
47#19099272C2211yescharacteristic
48#19099271—21no—
49#19099270C2211yescharacteristic
50#19099269C2211yescharacteristic
51#19099269C2211yescharacteristic
52#19099268—21no—
53#19099267—21no—
54#19099267—21no—
55C4⋊Q8×D79—21no—
56C4⋊Q8×D79C2211yescharacteristic
57C4⋊Q8×D79C2211yescharacteristic
58#125×D79—21no—
59#125×D79—21no—
60#125×D79C2211yescharacteristic
61#125×D79C2211yescharacteristic
62#125×D79C2211yescharacteristic
63#125×D79C2211yescharacteristic
64C22⋊Q8×D79—21no—
65C22⋊Q8×D79—21no—
66C22⋊Q8×D79—21no—
67C4×Q8×D79—21no—
68C4×Q8×D79C2211yescharacteristic
69C4×Q8×D79C2211yescharacteristic
70C4×Q8×D79C2211yescharacteristic
71C4×Q8×D79C2211yescharacteristic
72C4×D4×D79C2211yescharacteristic
73C4×D4×D79C2211yescharacteristic
74C4×D4×D79C2211yescharacteristic
75C2×C4⋊C4×D79—21no—
76#19098973C2211yescharacteristic, complemented
77#19098973C2211yescharacteristic, complemented
78#19098972C2211yescharacteristic, complemented
79#19098972C2211yescharacteristic, complemented
80#19098971C2211yescharacteristic, complemented
81#19098971C2211yescharacteristic, complemented
82#19098971C2211yescharacteristic, complemented
83#19098971C2211yescharacteristic, complemented
84#19098970C2211yescharacteristic, complemented
85#19098970C2211yescharacteristic, complemented
86#19098970C2211yescharacteristic, complemented
87#19098970C2211yescharacteristic, complemented
88#19098969C2211yescharacteristic, complemented
89#19098969C2211yescharacteristic, complemented
90#19098965C2211yescharacteristic, complemented
91#19098964C2211yescharacteristic, complemented
92#19098964C2211yescharacteristic, complemented
93#19098963C2211yescharacteristic, complemented
94#19098963C2211yescharacteristic, complemented
95#19098962C2211yescharacteristic, complemented
96#19098962C2211yescharacteristic, complemented
97#19098873C2211yescharacteristic, complemented
98#19098873C2211yescharacteristic, complemented
99#19098872C2211yescharacteristic, complemented
100#19098872C2211yescharacteristic, complemented
101#19098871C2211yescharacteristic, complemented
102#19098871C2211yescharacteristic, complemented
103#19098870C2211yescharacteristic, complemented
104#19098870C2211yescharacteristic, complemented
105#19098869C2211yescharacteristic, complemented
106#19098869C2211yescharacteristic, complemented
107#19098868C2211yescharacteristic, complemented
108#19098868C2211yescharacteristic, complemented
109#19098867C2211yescharacteristic, complemented
110#19098867C2211yescharacteristic, complemented
111#19098866C2211yescharacteristic
112#19098866C2211yescharacteristic
113#19098865C2211yescharacteristic
114#19098865C2211yescharacteristic
115#19098864C2211yescharacteristic
116#19098864C2211yescharacteristic
117#19098863C2211yescharacteristic
118#19098863C2211yescharacteristic
119#19098862C2211yescharacteristic
120#19098862C2211yescharacteristic
121#19098861C2211yescharacteristic
122#19098861C2211yescharacteristic
123#19098860C2211yescharacteristic
124#19098860C2211yescharacteristic
125#19098854C2211yescharacteristic
126#19098853C2211yescharacteristic
127#19098852C2211yescharacteristic
128#19098852C2211yescharacteristic
129#19098851C2211yescharacteristic
130#19098851C2211yescharacteristic
131#19098850C2211yescharacteristic
132#19098849C2211yescharacteristic, complemented
133#19098848C2211yescharacteristic, complemented
134#19098847C2211yescharacteristic, complemented
135#19098847C2211yescharacteristic, complemented
136#19098846C2211yescharacteristic, complemented
137#19098846C2211yescharacteristic, complemented
138#19098845C2211yescharacteristic, complemented
139#19098694C2211yescharacteristic, complemented
140#19098693C2211yescharacteristic, complemented
141#19098692C2211yescharacteristic, complemented
142#19098692C2211yescharacteristic, complemented
143#19098691C2211yescharacteristic, complemented
144#19098691C2211yescharacteristic, complemented
145#19098690C2211yescharacteristic, complemented
146#19098666C2211yescharacteristic
147#19098666C2211yescharacteristic
148#19098665C2211yescharacteristic
149#19098665C2211yescharacteristic
150#19098664C2211yescharacteristic
151#19098664C2211yescharacteristic
152#19098663C2211yescharacteristic
153#19098663C2211yescharacteristic
154#19098662C2211yescharacteristic
155#19098662C2211yescharacteristic
156#19098661C2211yescharacteristic
157#19098661C2211yescharacteristic
158#19098660C2211yescharacteristic
159#19098660C2211yescharacteristic
160#19098654C2211yescharacteristic
161C4×#11929613C2211yescharacteristic
162SD16×Dic79C2211yescharacteristic
163C4×#11929611C2211yescharacteristic
164#19098650C2211yescharacteristic
165C4×#11929612C2211yescharacteristic
166#19098648C2211yescharacteristic
167#107×D79C2211yescharacteristic
168#107×D79C2211yescharacteristic
169#107×D79C2211yescharacteristic
170#107×D79C2211yescharacteristic
171#106×D79C2211yescharacteristic
172#106×D79C2211yescharacteristic
173#106×D79C2211yescharacteristic
174#106×D79C2211yescharacteristic
175#106×D79C2211yescharacteristic
176C4⋊C8×D79C2211yescharacteristic
177C4⋊C8×D79C2211yescharacteristic
178C4⋊C8×D79C2211yescharacteristic
179#103×D79C2211yescharacteristic
180#103×D79C2211yescharacteristic
181#103×D79C2211yescharacteristic
182#102×D79C2211yescharacteristic
183#102×D79C2211yescharacteristic
184#102×D79C2211yescharacteristic
185#97×D79C2211yescharacteristic
186#97×D79C2211yescharacteristic
187C4×C8×D79C2211yescharacteristic
188#557×C79C2211yescharacteristic, complemented
189#554×C79C2211yescharacteristic
190#501×C79C2211yescharacteristic, complemented
191#501×C79C2211yescharacteristic, complemented
192#499×C79C2211yescharacteristic, complemented
193#479×C79C2211yescharacteristic, complemented
194#479×C79C2211yescharacteristic, complemented
195#478×C79C2211yescharacteristic
196#478×C79C2211yescharacteristic
197#476×C79C2211yescharacteristic
198#475×C79C2211yescharacteristic, complemented
199#446×C79C2211yescharacteristic, complemented
200#440×C79C2211yescharacteristic
201#440×C79C2211yescharacteristic
202C4×SD16×C79C2211yescharacteristic
203C2×Q8×D79—21no—
204C2×Q8×D79—21no—
205C2×Q8×D79D411yescharacteristic
206C2×Q8×D79C2311yescharacteristic
207C2×D4×D79C2311yescharacteristic
208C22×C4×D79—21no—
209C22×C4×D79—21no—
210C22×C4×D79—21no—
211C2×#11929613C2311yescharacteristic
212C2×#11929612C2311yescharacteristic
213C2×#11929611C2311yescharacteristic
214SD16×D79Q818yescomplemented
215C2×C8×D79C2311yescharacteristic
216C2×C8×D79C2311yescharacteristic
217C2×C8×D79C2311yescharacteristic
218C2×C8×D79C2311yescharacteristic
219#14579161—21no—
220#14579161C2311yescharacteristic
221#14579161C2311yescharacteristic
222#14579160—21no—
223#14579160—21no—
224#14579160—21no—
225#14579160—21no—
226#14579160—21no—
227#14579160—21no—
228#14579160C2311yescharacteristic
229#14579160C2311yescharacteristic
230#14579160C2311yescharacteristic
231#14579160C2311yescharacteristic
232#14579159—21no—
233#14579159—21no—
234#14579159—21no—
235#14579159—21no—
236#14579153—21no—
237#14579153—21no—
238#14579153C2311yescharacteristic
239#14579153C2311yescharacteristic
240#14579153C2311yescharacteristic
241#14579153C2311yescharacteristic
242#14579152—21no—
243#14579152—21no—
244#14579152—21no—
245#14579152—21no—
246#14579152C2311yescharacteristic
247#14579152C2311yescharacteristic
248#14579152C2311yescharacteristic
249#14579152C2311yescharacteristic
250#14579152C2311yescharacteristic
251#14579152C2311yescharacteristic
252#14579152C2311yescharacteristic
253#14579152C2311yescharacteristic
254#14579151—21no—
255#14579151—21no—
256#14579151—21no—
257#14579151—21no—
258#14579151—21no—
259#14579151—21no—
260#14579151—21no—
261#14579151—21no—
262#14579151—21no—
263#14579151—21no—
264#14579151—21no—
265#14579151—21no—
266#14579151—21no—
267#14579151—21no—
268#14579151—21no—
269#14579151—21no—
270#14579141—21no—
271#14579141—21no—
272#14579141—21no—
273#14579140—21no—
274#14579140—21no—
275#14579140—21no—
276#14579139—21no—
277#14579139—21no—
278#14579139—21no—
279#14579139—21no—
280#14579139—21no—
281#14579139—21no—
282#14579138—21no—
283#14579138—21no—
284#14579138—21no—
285#14579138—21no—
286#14579138—21no—
287#14579138—21no—
288#14579137—21no—
289#14579137—21no—
290#14579137—21no—
291Q8×Dic79—21no—
292Q8×Dic79D411yescharacteristic
293Q8×Dic79C2311yescharacteristic
294Q8×Dic79C2311yescharacteristic
295Q8×Dic79C2311yescharacteristic
296C4×Dic158—21no—
297C4×Dic158—21no—
298C4×Dic158—21no—
299C4×Dic158—21no—
300C4×Dic158—21no—
301C4×Dic158—21no—
302C4×Dic158C2311yescharacteristic
303C4×Dic158C2311yescharacteristic
304C4×Dic158C2311yescharacteristic
305C4×Dic158C2311yescharacteristic
306C4×Dic158C2311yescharacteristic
307C4×Dic158C2311yescharacteristic
308#14579126—21no—
309#14579126—21no—
310#14579126—21no—
311#14579126—21no—
312#14579126—21no—
313#14579126—21no—
314#14579126D411yescharacteristic
315#14579126D411yescharacteristic
316#14579126D411yescharacteristic
317#14579126C2311yescharacteristic
318#14579126C2311yescharacteristic
319#14579126C2311yescharacteristic
320C4×D316C2311yescharacteristic
321C4×D316C2311yescharacteristic
322C4×D316C2311yescharacteristic
323D4×Dic79C2311yescharacteristic
324D4×Dic79C2311yescharacteristic
325D4×Dic79C2311yescharacteristic
326#14579123C2311yescharacteristic
327#14579123C2311yescharacteristic
328#14579123C2311yescharacteristic
329C4×C22⋊D79—21no—
330C4×C22⋊D79—21no—
331C4×C22⋊D79—21no—
332(C22⋊D79)⋊C4—21no—
333(C22⋊D79)⋊C4—21no—
334(C22⋊D79)⋊C4—21no—
335C2×C4⋊Dic79—21no—
336C2×Dic79⋊C4—21no—
337C2×Dic79⋊C4—21no—
338C4⋊C4×D79—21no—
339C4⋊C4×D79—21no—
340C4⋊C4×D79—21no—
341C4⋊C4×D79—21no—
342C4⋊C4×D79—21no—
343C4⋊C4×D79—21no—
344C4⋊C4×D79—21no—
345C4⋊C4×D79—21no—
346C4⋊C4×D79—21no—
347C4⋊C4×D79—21no—
348C4⋊C4×D79—21no—
349C4⋊C4×D79—21no—
350C4⋊C4×D79—21no—
351C4⋊C4×D79—21no—
352C4⋊C4×D79—21no—
353C4⋊C4×D79—21no—
354C4⋊C4×D79—21no—
355C4⋊C4×D79D411yescharacteristic
356C4⋊C4×D79D411yescharacteristic
357C4⋊C4×D79D411yescharacteristic
358C4⋊C4×D79C2311yescharacteristic
359C4⋊C4×D79C2311yescharacteristic
360C4⋊C4×D79C2311yescharacteristic
361C4⋊C4×D79C2311yescharacteristic
362C4⋊C4×D79C2311yescharacteristic
363C4⋊C4×D79C2311yescharacteristic
364C22⋊C4×D79—21no—
365C22⋊C4×D79—21no—
366C22⋊C4×D79—21no—
367C42×D79—21no—
368C42×D79—21no—
369C42×D79—21no—
370C42×D79C2311yescharacteristic
371C42×D79C2311yescharacteristic
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#14579093C2311yescharacteristic
390#14579092C2311yescharacteristic
391#14579092C2311yescharacteristic
392#14579092C2311yescharacteristic
393#14579092C2311yescharacteristic
394#14579092C2311yescharacteristic
395#14579092C2311yescharacteristic
396#14579092C2311yescharacteristic
397#14579092C2311yescharacteristic
398#14579092C2311yescharacteristic
399#14579092C2311yescharacteristic
400C4⋊(C79⋊C8)C2311yescharacteristic
401C4⋊(C79⋊C8)C2311yescharacteristic
402C4⋊(C79⋊C8)C2311yescharacteristic
403Dic79⋊C8C2311yescharacteristic
404Dic79⋊C8C2311yescharacteristic
405Dic79⋊C8C2311yescharacteristic
406Dic79⋊C8C2311yescharacteristic
407Dic79⋊C8C2311yescharacteristic
408Dic79⋊C8C2311yescharacteristic
409#14579086C2311yescharacteristic
410#14579086C2311yescharacteristic
411#14579086C2311yescharacteristic
412#14579085C2311yescharacteristic
413#14579085C2311yescharacteristic
414#14579085C2311yescharacteristic
415#14579084C2311yescharacteristic
416#14579084C2311yescharacteristic
417#14579084C2311yescharacteristic
418#14579083C2311yescharacteristic
419#14579083C2311yescharacteristic
420#14579083C2311yescharacteristic
421#14579082C2311yescharacteristic
422#14579082C2311yescharacteristic
423#14579082C2311yescharacteristic
424#14579081C2311yescharacteristic
425#14579081C2311yescharacteristic
426#14579081C2311yescharacteristic
427#14579072C2311yescharacteristic
428#14579072C2311yescharacteristic
429#14579071C2311yescharacteristic
430#14579071C2311yescharacteristic
431#14579071C2311yescharacteristic
432#14579071C2311yescharacteristic
433C4×C79⋊C8C2311yescharacteristic
434C8×Dic79C2311yescharacteristic
435C8×Dic79C2311yescharacteristic
436C2×SD16×C79C2311yescharacteristic
437C4⋊Q8×C79—21no—
438C4⋊Q8×C79C2311yescharacteristic
439C4⋊Q8×C79C2311yescharacteristic
440#125×C79—21no—
441#125×C79—21no—
442#125×C79C2311yescharacteristic
443#125×C79C2311yescharacteristic
444#125×C79C2311yescharacteristic
445#125×C79C2311yescharacteristic
446C22⋊Q8×C79—21no—
447C22⋊Q8×C79—21no—
448C22⋊Q8×C79—21no—
449C4×Q8×C79—21no—
450C4×Q8×C79C2311yescharacteristic
451C4×Q8×C79C2311yescharacteristic
452C4×Q8×C79C2311yescharacteristic
453C4×Q8×C79C2311yescharacteristic
454C4×D4×C79C2311yescharacteristic
455C4×D4×C79C2311yescharacteristic
456C4×D4×C79C2311yescharacteristic
457C2×C4⋊C4×C79—21no—
458#107×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
467C4⋊C8×C79C2311yescharacteristic
468C4⋊C8×C79C2311yescharacteristic
469C4⋊C8×C79C2311yescharacteristic
470#103×C79C2311yescharacteristic
471#103×C79C2311yescharacteristic
472#103×C79C2311yescharacteristic
473#102×C79C2311yescharacteristic
474#102×C79C2311yescharacteristic
475#102×C79C2311yescharacteristic
476#97×C79C2311yescharacteristic
477#97×C79C2311yescharacteristic
478C4×C8×C79C2311yescharacteristic
479C23×D79—21no—
480C2×Dic158—21no—
481C2×Dic158—21no—
482C2×Dic158—21no—
483C2×Dic158—21no—
484C2×Dic158—21no—
485C2×Dic158—21no—
486C2×Dic158—21no—
487C2×Dic158C2×D411yescharacteristic
488C2×Dic158C2×D411yescharacteristic
489C2×Dic158C2×D411yescharacteristic
490C2×Dic158C2411yescharacteristic
491Q8×D79—22no—
492Q8×D79—42no—
493Q8×D79—44no—
494Q8×D79—82no—
495Q8×D79C2×Q814yes—
496C2×D316C2411yescharacteristic
497C2×C22⋊D79—21no—
498D4×D79—22no—
499D4×D79C2×Q814yes—
500C22×Dic79—21no—
501C22×Dic79—21no—
502C22×Dic79—21no—
503C2×C4×D79—21no—
504C2×C4×D79—21no—
505C2×C4×D79—21no—
506C2×C4×D79—21no—
507C2×C4×D79—21no—
508C2×C4×D79—21no—
509C2×C4×D79—21no—
510C2×C4×D79—21no—
511C2×C4×D79—21no—
512C2×C4×D79—21no—
513C2×C4×D79—21no—
514C2×C4×D79—21no—
515C2×C4×D79—21no—
516C2×C4×D79—44no—
517C2×C4×D79—82no—
518C2×C4×D79—82no—
519C2×C4×D79C2×D411yescharacteristic
520C2×C4×D79C2×D411yescharacteristic
521C2×C4×D79C2×D411yescharacteristic
522C2×C4×D79C2×D411yescharacteristic
523C2×C4×D79C2×D411yescharacteristic
524C2×C4×D79C2×D411yescharacteristic
525C2×C4×D79C2411yescharacteristic
526#11929613C2×Q814yescomplemented
527#11929612C2×Q814yescomplemented
528#11929611C2×Q814yescomplemented
529C2×C79⋊C8C2411yescharacteristic
530C2×C79⋊C8C2411yescharacteristic
531C2×C79⋊C8C2411yescharacteristic
532C2×C79⋊C8C2411yescharacteristic
533C8×D79—22no—
534C8×D79—22no—
535C8×D79—22no—
536C8×D79C2×Q814yes—
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⋊Dic79—21no—
546C4⋊Dic79—21no—
547C4⋊Dic79—21no—
548C4⋊Dic79—21no—
549C4⋊Dic79—21no—
550C4⋊Dic79C2×D411yescharacteristic
551C4⋊Dic79C2×D411yescharacteristic
552C4⋊Dic79C2×D411yescharacteristic
553C4⋊Dic79C2411yescharacteristic
554C4⋊Dic79C2411yescharacteristic
555C4⋊Dic79C2411yescharacteristic
556C4⋊Dic79C2411yescharacteristic
557C4⋊Dic79C2411yescharacteristic
558C4⋊Dic79C2411yescharacteristic
559Dic79⋊C4—21no—
560Dic79⋊C4—21no—
561Dic79⋊C4—21no—
562Dic79⋊C4—21no—
563Dic79⋊C4—21no—
564Dic79⋊C4—21no—
565Dic79⋊C4—21no—
566Dic79⋊C4—21no—
567Dic79⋊C4—21no—
568Dic79⋊C4—21no—
569Dic79⋊C4—21no—
570Dic79⋊C4—21no—
571Dic79⋊C4—21no—
572Dic79⋊C4—21no—
573Dic79⋊C4—21no—
574Dic79⋊C4—21no—
575Dic79⋊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⋊C4—21no—
585Dic79⋊C4—21no—
586Dic79⋊C4—21no—
587Dic79⋊C4—21no—
588Dic79⋊C4—21no—
589Dic79⋊C4—21no—
590Dic79⋊C4—21no—
591Dic79⋊C4C2×D411yescharacteristic
592Dic79⋊C4C2×D411yescharacteristic
593Dic79⋊C4C2×D411yescharacteristic
594Dic79⋊C4C2×D411yescharacteristic
595Dic79⋊C4C2×D411yescharacteristic
596Dic79⋊C4C2×D411yescharacteristic
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—
606C4×Dic79—21no—
607C4×Dic79—21no—
608C4×Dic79—21no—
609C4×Dic79—21no—
610C4×Dic79—21no—
611C4×Dic79—21no—
612C4×Dic79—21no—
613C4×Dic79—21no—
614C4×Dic79—21no—
615C4×Dic79C2×D411yescharacteristic
616C4×Dic79C2×D411yescharacteristic
617C4×Dic79C2×D411yescharacteristic
618C4×Dic79C2×D411yescharacteristic
619C4×Dic79C2×D411yescharacteristic
620C4×Dic79C2×D411yescharacteristic
621C4×Dic79C2411yescharacteristic
622C4×Dic79C2411yescharacteristic
623C4×Dic79C2411yescharacteristic
624C2×Q8×C79—21no—
625C2×Q8×C79—21no—
626C2×Q8×C79C2×D411yescharacteristic
627C2×Q8×C79C2411yescharacteristic
628C2×D4×C79C2411yescharacteristic
629C22×C4×C79—21no—
630C22×C4×C79—21no—
631C22×C4×C79—21no—
632SD16×C79C2×Q814yescomplemented
633C2×C8×C79C2411yescharacteristic
634C2×C8×C79C2411yescharacteristic
635C2×C8×C79C2411yescharacteristic
636C2×C8×C79C2411yescharacteristic
637C4⋊C4×C79—21no—
638C4⋊C4×C79—21no—
639C4⋊C4×C79—21no—
640C4⋊C4×C79—21no—
641C4⋊C4×C79—21no—
642C4⋊C4×C79—21no—
643C4⋊C4×C79—21no—
644C4⋊C4×C79—21no—
645C4⋊C4×C79—21no—
646C4⋊C4×C79—21no—
647C4⋊C4×C79—21no—
648C4⋊C4×C79—21no—
649C4⋊C4×C79—21no—
650C4⋊C4×C79C2×D411yescharacteristic
651C4⋊C4×C79C2×D411yescharacteristic
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—
662C42×C79—21no—
663C42×C79—21no—
664C42×C79—21no—
665C42×C79C2411yescharacteristic
666C42×C79C2411yescharacteristic
667C42×C79C2411yescharacteristic
668C23×C79—21no—
669C22×D79—21no—
670C22×D79—24no—
671C22×D79—42no—
672C22×D79—42no—
673C22×D79C22×D411yescharacteristic
674Q8×C79—21no—
675Q8×C79—41no—
676Q8×C79—42no—
677Q8×C79—81no—
678Q8×C79C22×Q812yes—
679D4×C79—21no—
680D4×C79C22×Q812yes—
681C2×C4×C79—21no—
682C2×C4×C79—21no—
683C2×C4×C79—21no—
684C2×C4×C79—21no—
685C2×C4×C79—21no—
686C2×C4×C79—21no—
687C2×C4×C79—21no—
688C2×C4×C79—42no—
689C2×C4×C79—81no—
690C2×C4×C79—81no—
691C2×C4×C79C22×D411yescharacteristic
692C2×C4×C79C22×D411yescharacteristic
693C2×C4×C79C22×D411yescharacteristic
694C2×C4×C79C22×D411yescharacteristic
695C2×C4×C79C22×D411yescharacteristic
696C2×C4×C79C22×D411yescharacteristic
697C2×C4×C79C2511yescharacteristic
698C22⋊D79—24no—
699C2×Dic79—21no—
700C2×Dic79—21no—
701C2×Dic79—21no—
702C2×Dic79—21no—
703C2×Dic79—21no—
704C2×Dic79—21no—
705C2×Dic79—21no—
706C2×Dic79—42no—
707C2×Dic79—81no—
708C2×Dic79—81no—
709C2×Dic79C22×D411yescharacteristic
710C2×Dic79C22×D411yescharacteristic
711C2×Dic79C22×D411yescharacteristic
712C2×Dic79C22×D411yescharacteristic
713C2×Dic79C22×D411yescharacteristic
714C2×Dic79C22×D411yescharacteristic
715C2×Dic79C22×D411yescharacteristic
716D316—21no—
717D316C22×Q812yes—
718C4×D79—24no—
719C4×D79—22no—
720C4×D79—22no—
721C4×D79—22no—
722C4×D79—22no—
723C4×D79—22no—
724C4×D79—22no—
725C4×D79—42no—
726C4×D79—42no—
727C4×D79—42no—
728C4×D79—42no—
729C4×D79—42no—
730C4×D79—42no—
731C4×D79—42no—
732C4×D79—42no—
733C4×D79—81no—
734C4×D79—81no—
735C4×D79—81no—
736C4×D79—81no—
737C4×D79C22×Q812yes—
738C4×D792−1+412yes—
739Dic158—21no—
740Dic158—24no—
741Dic158—41no—
742Dic158—41no—
743Dic158—41no—
744Dic158—42no—
745Dic158—42no—
746Dic158—42no—
747Dic158—81no—
748Dic158—81no—
749Dic158—81no—
750Dic158C22×Q812yes—
751C8×C79—21no—
752C8×C79—21no—
753C8×C79—21no—
754C8×C79C22×Q812yes—
755C79⋊C8—21no—
756C79⋊C8—21no—
757C79⋊C8—21no—
758C79⋊C8C22×Q812yes—
759C22×C79—22no—
760C22×C79—41no—
761C22×C79—41no—
762C22×C79C23×D411yescharacteristic
763C2×D79—22no—
764C2×D79—41no—
765C2×D79—41no—
766C2×D79—48no—
767C2×D79D4×Q812yes—
768C2×D79#57512yes—
769C2×D79#57712yes—
770C4×C79—22no—
771C4×C79—21no—
772C4×C79—21no—
773C4×C79—21no—
774C4×C79—21no—
775C4×C79—21no—
776C4×C79—21no—
777C4×C79—41no—
778C4×C79—41no—
779C4×C79—41no—
780C4×C79—41no—
781C4×C79—41no—
782C4×C79—41no—
783C4×C79C23×Q811yescharacteristic
784C4×C79C2×2−1+411yescharacteristic
785Dic79—22no—
786Dic79—21no—
787Dic79—21no—
788Dic79—21no—
789Dic79—21no—
790Dic79—21no—
791Dic79—21no—
792Dic79—41no—
793Dic79—41no—
794Dic79—41no—
795Dic79—41no—
796Dic79—41no—
797Dic79—41no—
798Dic79D4×Q812yes—
799C2×#3388—791nomaximal, Sylow
800C2×C79—42no—
801C2×C79C2×D4×Q811yescharacteristic
802C2×C79C2×#57511yescharacteristic
803C2×C79C2×#57711yescharacteristic
804D79—42no—
805D79#338814yesdirect product factor
806C2×#557—791no—
807C2×#554—791no—
808#3388—791no—
809#3388—791no—
810#3388—791no—
811#3388—791no—
812#3388—791no—
813#3388—791no—
814#3388—791no—
815#3388—791no—
816#3388—791no—
817#3388—791no—
818#3388—791no—
819#3388—791no—
820#3388—791no—
821#3388—791no—
822#3388—791no—
823#3388D7911yescharacteristic, direct product factor
824C2×#501—791no—
825C2×#501—791no—
826C2×#499—791no—
827C2×#479—791no—
828C2×#479—791no—
829C2×#475—791no—
830C2×#478—791no—
831C2×#478—791no—
832C2×#476—791no—
833C2×#446—791no—
834C2×#440—791no—
835C2×#440—791no—
836C2×C4×SD16—791no—
837C79C2×#338811yescharacteristic, complemented, Sylow
838C22×SD16—791no—
839#557—791no—
840#557—791no—
841#557—791no—
842#557—791no—
843#557—791no—
844#557—791no—
845#557—791no—
846#557—1581no—
847#557—1581no—
848#557—1581no—
849#557—1581no—
850#557C2×D7911yescharacteristic, complemented
851#554—791no—
852#554—791no—
853#554—791no—
854#554—791no—
855#554—791no—
856#554—791no—
857#554—791no—
858#554—1581no—
859#554—1581no—
860#554—1581no—
861#554—1581no—
862#554C2×D7911yescharacteristic
863C2×C4⋊Q8—791no—
864C2×C4⋊Q8—791no—
865C2×C4⋊Q8—1581no—
866C2×#125—791no—
867C2×#125—791no—
868C2×#125—791no—
869C2×#125—791no—
870C2×#125—1581no—
871C2×#125—1581no—
872C2×C22⋊Q8—1581no—
873C2×C22⋊Q8—1581no—
874C2×C22⋊Q8—1581no—
875C2×C4×Q8—791no—
876C2×C4×Q8—791no—
877C2×C4×Q8—791no—
878C2×C4×Q8—791no—
879C2×C4×Q8—1581no—
880C2×C4×D4—791no—
881C2×C4×D4—791no—
882C2×C4×D4—791no—
883C22×C4⋊C4—1581no—
884#501—791no—
885#501—791no—
886#501—791no—
887#501—791no—
888#501—791no—
889#501—791no—
890#501—791no—
891#501—791no—
892#501—791no—
893#501—791no—
894#501—791no—
895#501—791no—
896#501—791no—
897#501—791no—
898#501C2×D7911yescharacteristic, complemented
899#501C2×D7911yescharacteristic, complemented
900#499—791no—
901#499—791no—
902#499—791no—
903#499—791no—
904#499—791no—
905#499—791no—
906#499—791no—
907#499C2×D7911yescharacteristic, complemented
908#479—791no—
909#479—791no—
910#479—791no—
911#479—791no—
912#479—791no—
913#479—791no—
914#479—791no—
915#479—791no—
916#479—791no—
917#479—791no—
918#479—791no—
919#479—791no—
920#479—791no—
921#479—791no—
922#479C2×D7911yescharacteristic, complemented
923#479C2×D7911yescharacteristic, complemented
924#478—791no—
925#478—791no—
926#478—791no—
927#478—791no—
928#478—791no—
929#478—791no—
930#478—791no—
931#478—791no—
932#478—791no—
933#478—791no—
934#478—791no—
935#478—791no—
936#478—791no—
937#478—791no—
938#478C2×D7911yescharacteristic
939#478C2×D7911yescharacteristic
940#476—791no—
941#476—791no—
942#476—791no—
943#476—791no—
944#476—791no—
945#476—791no—
946#476—791no—
947#476C2×D7911yescharacteristic
948#475—791no—
949#475—791no—
950#475—791no—
951#475—791no—
952#475—791no—
953#475—791no—
954#475—791no—
955#475C2×D7911yescharacteristic, complemented
956#446—791no—
957#446—791no—
958#446—791no—
959#446—791no—
960#446—791no—
961#446—791no—
962#446—791no—
963#446C2×D7911yescharacteristic, complemented
964#440—791no—
965#440—791no—
966#440—791no—
967#440—791no—
968#440—791no—
969#440—791no—
970#440—791no—
971#440—791no—
972#440—791no—
973#440—791no—
974#440—791no—
975#440—791no—
976#440—791no—
977#440—791no—
978#440C2×D7911yescharacteristic
979#440C2×D7911yescharacteristic
980C4×SD16—791no—
981C4×SD16—791no—
982C4×SD16—791no—
983C4×SD16—791no—
984C4×SD16—791no—
985C4×SD16—791no—
986C4×SD16—791no—
987C4×SD16C2×D7911yescharacteristic
988C2×#107—791no—
989C2×#107—791no—
990C2×#107—791no—
991C2×#107—791no—
992C2×#106—791no—
993C2×#106—791no—
994C2×#106—791no—
995C2×#106—791no—
996C2×#106—791no—
997C2×C4⋊C8—791no—
998C2×C4⋊C8—791no—
999C2×C4⋊C8—791no—
1000C2×#103—791no—
1001C2×#103—791no—
1002C2×#103—791no—
1003C2×#102—791no—
1004C2×#102—791no—
1005C2×#102—791no—
1006C2×#97—791no—
1007C2×#97—791no—
1008C2×C4×C8—791no—
1009C22×Q8—791no—
1010C22×Q8—791no—
1011C22×Q8—1581no—
1012C22×Q8—1581no—
1013C22×D4—791no—
1014C23×C4—1581no—
1015C23×C4—1581no—
1016C23×C4—1581no—
1017C2×SD16—791no—
1018C2×SD16—791no—
1019C2×SD16—798no—
1020C2×SD16—791no—
1021C2×SD16C22×D7911yescharacteristic
1022C22×C8—791no—
1023C22×C8—791no—
1024C22×C8—791no—
1025C22×C8—791no—
1026C4⋊Q8—21no—
1027C4⋊Q8—791no—
1028C4⋊Q8—791no—
1029C4⋊Q8—791no—
1030C4⋊Q8—791no—
1031C4⋊Q8—791no—
1032C4⋊Q8—791no—
1033C4⋊Q8—1581no—
1034C4⋊Q8—1581no—
1035C4⋊Q8—1581no—
1036C4⋊Q8—1581no—
1037C4⋊Q8—1581no—
1038C4⋊Q8—1581no—
1039C4⋊Q8—1581no—
1040C4⋊Q8—1581no—
1041C4⋊Q8—1581no—
1042C4⋊Q8—1581no—
1043C4⋊Q8—1581no—
1044C4⋊Q8C22×D7911yescharacteristic
1045C4⋊Q8C22×D7911yescharacteristic
1046#125—21no—
1047#125—21no—
1048#125—791no—
1049#125—791no—
1050#125—791no—
1051#125—791no—
1052#125—791no—
1053#125—791no—
1054#125—791no—
1055#125—791no—
1056#125—791no—
1057#125—791no—
1058#125—791no—
1059#125—791no—
1060#125—1581no—
1061#125—1581no—
1062#125—1581no—
1063#125—1581no—
1064#125—1581no—
1065#125—1581no—
1066#125—1581no—
1067#125—1581no—
1068#125—1581no—
1069#125—1581no—
1070#125—1581no—
1071#125—1581no—
1072#125—1581no—
1073#125—1581no—
1074#125—1581no—
1075#125—1581no—
1076#125—1581no—
1077#125—1581no—
1078#125—1581no—
1079#125—1581no—
1080#125—1581no—
1081#125—1581no—
1082#125C22×D7911yescharacteristic
1083#125C22×D7911yescharacteristic
1084#125C22×D7911yescharacteristic
1085#125C22×D7911yescharacteristic
1086C22⋊Q8—21no—
1087C22⋊Q8—21no—
1088C22⋊Q8—21no—
1089C22⋊Q8—1581no—
1090C22⋊Q8—1581no—
1091C22⋊Q8—1581no—
1092C22⋊Q8—1581no—
1093C22⋊Q8—1581no—
1094C22⋊Q8—1581no—
1095C22⋊Q8—1581no—
1096C22⋊Q8—1581no—
1097C22⋊Q8—1581no—
1098C22⋊Q8—1581no—
1099C22⋊Q8—1581no—
1100C22⋊Q8—1581no—
1101C22⋊Q8—1581no—
1102C22⋊Q8—1581no—
1103C22⋊Q8—1581no—
1104C22⋊Q8—1581no—
1105C22⋊Q8—1581no—
1106C22⋊Q8—1581no—
1107C22⋊Q8—1581no—
1108C22⋊Q8—1581no—
1109C22⋊Q8—1581no—
1110C4×Q8—21no—
1111C4×Q8—791no—
1112C4×Q8—791no—
1113C4×Q8—791no—
1114C4×Q8—791no—
1115C4×Q8—791no—
1116C4×Q8—791no—
1117C4×Q8—791no—
1118C4×Q8—791no—
1119C4×Q8—791no—
1120C4×Q8—791no—
1121C4×Q8—791no—
1122C4×Q8—791no—
1123C4×Q8—791no—
1124C4×Q8—791no—
1125C4×Q8—791no—
1126C4×Q8—791no—
1127C4×Q8—1581no—
1128C4×Q8—1581no—
1129C4×Q8—1581no—
1130C4×Q8—1581no—
1131C4×Q8—1581no—
1132C4×Q8—1581no—
1133C4×Q8—1581no—
1134C4×Q8—1581no—
1135C4×Q8—1581no—
1136C4×Q8—1581no—
1137C4×Q8—1581no—
1138C4×Q8—1581no—
1139C4×Q8—1581no—
1140C4×Q8C22×D7911yescharacteristic
1141C4×Q8C22×D7911yescharacteristic
1142C4×Q8C22×D7911yescharacteristic
1143C4×Q8C22×D7911yescharacteristic
1144C4×D4—791no—
1145C4×D4—791no—
1146C4×D4—791no—
1147C4×D4—791no—
1148C4×D4—791no—
1149C4×D4—791no—
1150C4×D4—791no—
1151C4×D4—791no—
1152C4×D4—791no—
1153C4×D4—1581no—
1154C4×D4—1581no—
1155C4×D4—1581no—
1156C4×D4—1581no—
1157C4×D4—1581no—
1158C4×D4—1581no—
1159C4×D4C22×D7911yescharacteristic
1160C4×D4C22×D7911yescharacteristic
1161C4×D4C22×D7911yescharacteristic
1162C2×C4⋊C4—21no—
1163C2×C4⋊C4—791no—
1164C2×C4⋊C4—791no—
1165C2×C4⋊C4—791no—
1166C2×C4⋊C4—791no—
1167C2×C4⋊C4—791no—
1168C2×C4⋊C4—791no—
1169C2×C4⋊C4—791no—
1170C2×C4⋊C4—791no—
1171C2×C4⋊C4—791no—
1172C2×C4⋊C4—1581no—
1173C2×C4⋊C4—1581no—
1174C2×C4⋊C4—1581no—
1175C2×C4⋊C4—1581no—
1176C2×C4⋊C4—1581no—
1177C2×C4⋊C4—1581no—
1178C2×C4⋊C4—1581no—
1179C2×C4⋊C4—1581no—
1180C2×C4⋊C4—1581no—
1181C2×C4⋊C4—1581no—
1182C2×C4⋊C4—1581no—
1183C2×C4⋊C4—1581no—
1184C2×C4⋊C4—1581no—
1185C2×C4⋊C4—1581no—
1186C2×C4⋊C4—1581no—
1187C2×C4⋊C4—1581no—
1188C2×C4⋊C4—1581no—
1189C2×C4⋊C4—1581no—
1190C2×C4⋊C4—1581no—
1191C2×C4⋊C4—1581no—
1192C2×C22⋊C4—1581no—
1193C2×C22⋊C4—1581no—
1194C2×C22⋊C4—1581no—
1195C2×C42—791no—
1196C2×C42—791no—
1197C2×C42—791no—
1198C2×C42—1581no—
1199C2×C42—1581no—
1200C2×C42—1581no—
1201#107—791no—
1202#107—791no—
1203#107—791no—
1204#107—791no—
1205#107—791no—
1206#107—791no—
1207#107—791no—
1208#107—791no—
1209#107—791no—
1210#107—791no—
1211#107—791no—
1212#107—791no—
1213#107C22×D7911yescharacteristic
1214#107C22×D7911yescharacteristic
1215#107C22×D7911yescharacteristic
1216#107C22×D7911yescharacteristic
1217#106—791no—
1218#106—791no—
1219#106—791no—
1220#106—791no—
1221#106—791no—
1222#106—791no—
1223#106—791no—
1224#106—791no—
1225#106—791no—
1226#106—791no—
1227#106—791no—
1228#106—791no—
1229#106—791no—
1230#106—791no—
1231#106—791no—
1232#106C22×D7911yescharacteristic
1233#106C22×D7911yescharacteristic
1234#106C22×D7911yescharacteristic
1235#106C22×D7911yescharacteristic
1236#106C22×D7911yescharacteristic
1237C4⋊C8—791no—
1238C4⋊C8—791no—
1239C4⋊C8—791no—
1240C4⋊C8—791no—
1241C4⋊C8—791no—
1242C4⋊C8—791no—
1243C4⋊C8—791no—
1244C4⋊C8—791no—
1245C4⋊C8—791no—
1246C4⋊C8C22×D7911yescharacteristic
1247C4⋊C8C22×D7911yescharacteristic
1248C4⋊C8C22×D7911yescharacteristic
1249#103—791no—
1250#103—791no—
1251#103—791no—
1252#103—791no—
1253#103—791no—
1254#103—791no—
1255#103—791no—
1256#103—791no—
1257#103—791no—
1258#103C22×D7911yescharacteristic
1259#103C22×D7911yescharacteristic
1260#103C22×D7911yescharacteristic
1261#102—791no—
1262#102—791no—
1263#102—791no—
1264#102—791no—
1265#102—791no—
1266#102—791no—
1267#102—791no—
1268#102—791no—
1269#102—791no—
1270#102C22×D7911yescharacteristic
1271#102C22×D7911yescharacteristic
1272#102C22×D7911yescharacteristic
1273#97—791no—
1274#97—791no—
1275#97—791no—
1276#97—791no—
1277#97—791no—
1278#97—791no—
1279#97C22×D7911yescharacteristic
1280#97C22×D7911yescharacteristic
1281C4×C8—791no—
1282C4×C8—791no—
1283C4×C8—791no—
1284C4×C8C22×D7911yescharacteristic
1285C24—1581no—
1286C2×Q8—21no—
1287C2×Q8—21no—
1288C2×Q8—3164no—
1289C2×Q8—3162no—
1290C2×Q8—791no—
1291C2×Q8—791no—
1292C2×Q8—791no—
1293C2×Q8—794no—
1294C2×Q8—791no—
1295C2×Q8—6322no—
1296C2×Q8—1581no—
1297C2×Q8—1581no—
1298C2×Q8—1581no—
1299C2×Q8—1581no—
1300C2×Q8—1581no—
1301C2×Q8—1582no—
1302C2×Q8—1581no—
1303C2×Q8—1581no—
1304C2×Q8D4×D7911yescharacteristic
1305C2×Q8C23×D7911yescharacteristic
1306C2×D4—794no—
1307C2×D4—791no—
1308C2×D4—1582no—
1309C2×D4—1581no—
1310C2×D4C23×D7911yescharacteristic
1311C22×C4—21no—
1312C22×C4—21no—
1313C22×C4—21no—
1314C22×C4—3164no—
1315C22×C4—791no—
1316C22×C4—791no—
1317C22×C4—791no—
1318C22×C4—791no—
1319C22×C4—791no—
1320C22×C4—791no—
1321C22×C4—791no—
1322C22×C4—6322no—
1323C22×C4—6322no—
1324C22×C4—1581no—
1325C22×C4—1581no—
1326C22×C4—1581no—
1327C22×C4—1581no—
1328C22×C4—1581no—
1329C22×C4—1581no—
1330C22×C4—1581no—
1331C22×C4—1581no—
1332C22×C4—1581no—
1333C22×C4—1581no—
1334C22×C4—1581no—
1335C22×C4—1581no—
1336C22×C4—1581no—
1337C22×C4—1581no—
1338C22×C4—1581no—
1339C22×C4—1581no—
1340SD16—794no—
1341SD16—794no—
1342SD16—794no—
1343SD16Q8×D7914yescomplemented
1344C2×C8—791no—
1345C2×C8—794no—
1346C2×C8—791no—
1347C2×C8—791no—
1348C2×C8—791no—
1349C2×C8—1582no—
1350C2×C8—1582no—
1351C2×C8—1582no—
1352C2×C8C23×D7911yescharacteristic
1353C2×C8C23×D7911yescharacteristic
1354C2×C8C23×D7911yescharacteristic
1355C2×C8C23×D7911yescharacteristic
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—21no—
1361C4⋊C4—21no—
1362C4⋊C4—21no—
1363C4⋊C4—21no—
1364C4⋊C4—21no—
1365C4⋊C4—21no—
1366C4⋊C4—21no—
1367C4⋊C4—21no—
1368C4⋊C4—21no—
1369C4⋊C4—791no—
1370C4⋊C4—791no—
1371C4⋊C4—791no—
1372C4⋊C4—791no—
1373C4⋊C4—791no—
1374C4⋊C4—791no—
1375C4⋊C4—791no—
1376C4⋊C4—791no—
1377C4⋊C4—791no—
1378C4⋊C4—791no—
1379C4⋊C4—791no—
1380C4⋊C4—791no—
1381C4⋊C4—791no—
1382C4⋊C4—791no—
1383C4⋊C4—791no—
1384C4⋊C4—1581no—
1385C4⋊C4—1581no—
1386C4⋊C4—1581no—
1387C4⋊C4—1581no—
1388C4⋊C4—1581no—
1389C4⋊C4—1581no—
1390C4⋊C4—1581no—
1391C4⋊C4—1581no—
1392C4⋊C4—1581no—
1393C4⋊C4—1581no—
1394C4⋊C4—1581no—
1395C4⋊C4—1581no—
1396C4⋊C4—1581no—
1397C4⋊C4—1581no—
1398C4⋊C4—1581no—
1399C4⋊C4—1581no—
1400C4⋊C4—1581no—
1401C4⋊C4—1581no—
1402C4⋊C4—1581no—
1403C4⋊C4—1581no—
1404C4⋊C4—1581no—
1405C4⋊C4—1581no—
1406C4⋊C4—1581no—
1407C4⋊C4—1581no—
1408C4⋊C4—1581no—
1409C4⋊C4—1581no—
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⋊C4D4×D7911yescharacteristic
1430C4⋊C4D4×D7911yescharacteristic
1431C4⋊C4D4×D7911yescharacteristic
1432C4⋊C4C23×D7911yescharacteristic
1433C4⋊C4C23×D7911yescharacteristic
1434C4⋊C4C23×D7911yescharacteristic
1435C4⋊C4C23×D7911yescharacteristic
1436C4⋊C4C23×D7911yescharacteristic
1437C4⋊C4C23×D7911yescharacteristic
1438C22⋊C4—21no—
1439C22⋊C4—21no—
1440C22⋊C4—21no—
1441C22⋊C4—1581no—
1442C22⋊C4—1581no—
1443C22⋊C4—1581no—
1444C22⋊C4—1581no—
1445C22⋊C4—1581no—
1446C22⋊C4—1581no—
1447C22⋊C4—1581no—
1448C22⋊C4—1581no—
1449C22⋊C4—1581no—
1450C42—21no—
1451C42—21no—
1452C42—21no—
1453C42—791no—
1454C42—791no—
1455C42—791no—
1456C42—791no—
1457C42—791no—
1458C42—791no—
1459C42—791no—
1460C42—791no—
1461C42—791no—
1462C42—1581no—
1463C42—1581no—
1464C42—1581no—
1465C42—1581no—
1466C42—1581no—
1467C42—1581no—
1468C42—1581no—
1469C42—1581no—
1470C42—1581no—
1471C42C23×D7911yescharacteristic
1472C42C23×D7911yescharacteristic
1473C42C23×D7911yescharacteristic
1474C23—21no—
1475C23—3162no—
1476C23—3162no—
1477C23—791no—
1478C23—1584no—
1479C23—1581no—
1480Q8—21no—
1481Q8—41no—
1482Q8—42no—
1483Q8—81no—
1484Q8—3162no—
1485Q8—3161no—
1486Q8—3161no—
1487Q8—3161no—
1488Q8—3162no—
1489Q8—3162no—
1490Q8—792no—
1491Q8—6321no—
1492Q8—6321no—
1493Q8—6321no—
1494Q8—1584no—
1495Q8—1581no—
1496Q8C2×Q8×D7912yes—
1497D4—21no—
1498D4—792no—
1499D4—1584no—
1500D4—1581no—
1501D4C2×Q8×D7912yes—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—42no—
1510C2×C4—81no—
1511C2×C4—81no—
1512C2×C4—3162no—
1513C2×C4—3162no—
1514C2×C4—3162no—
1515C2×C4—3162no—
1516C2×C4—3162no—
1517C2×C4—3162no—
1518C2×C4—3162no—
1519C2×C4—3162no—
1520C2×C4—3162no—
1521C2×C4—791no—
1522C2×C4—792no—
1523C2×C4—792no—
1524C2×C4—791no—
1525C2×C4—791no—
1526C2×C4—791no—
1527C2×C4—791no—
1528C2×C4—791no—
1529C2×C4—791no—
1530C2×C4—6321no—
1531C2×C4—6321no—
1532C2×C4—6321no—
1533C2×C4—6321no—
1534C2×C4—6321no—
1535C2×C4—6321no—
1536C2×C4—1582no—
1537C2×C4—1582no—
1538C2×C4—1582no—
1539C2×C4—1582no—
1540C2×C4—1582no—
1541C2×C4—1582no—
1542C2×C4—1584no—
1543C2×C4—1581no—
1544C2×C4—1581no—
1545C2×C4—1581no—
1546C2×C4—1581no—
1547C2×C4—1581no—
1548C2×C4—1581no—
1549C2×C4—1581no—
1550C2×C4C2×D4×D7911yescharacteristic
1551C2×C4C2×D4×D7911yescharacteristic
1552C2×C4C2×D4×D7911yescharacteristic
1553C2×C4C2×D4×D7911yescharacteristic
1554C2×C4C2×D4×D7911yescharacteristic
1555C2×C4C2×D4×D7911yescharacteristic
1556C2×C4C24×D7911yescharacteristic
1557C8—21no—
1558C8—21no—
1559C8—21no—
1560C8—792no—
1561C8—1581no—
1562C8—1581no—
1563C8—1581no—
1564C8C2×Q8×D7912yes—
1565C22—22no—
1566C22—41no—
1567C22—41no—
1568C22—3168no—
1569C22—3161no—
1570C22—3161no—
1571C22—792no—
1572C22—792no—
1573C22—792no—
1574C22—1582no—
1575C22C22×D4×D7911yescharacteristic
1576C4—21no—
1577C4—21no—
1578C4—21no—
1579C4—22no—
1580C4—21no—
1581C4—21no—
1582C4—21no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—3161no—
1590C4—3161no—
1591C4—3161no—
1592C4—3161no—
1593C4—3161no—
1594C4—3161no—
1595C4—792no—
1596C4—1581no—
1597C4—1581no—
1598C4—1581no—
1599C4—1582no—
1600C4—1581no—
1601C4—1581no—
1602C4—1581no—
1603C4C22×Q8×D7911yescharacteristic
1604C42−1+4×D7911yescharacteristic
1605C2—42no—
1606C2—3162no—
1607C2—794no—
1608C2D4×Q8×D7911yescharacteristic
1609C2#575×D7911yescharacteristic
1610C2#577×D7911yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3388C2
socleC22×C79C23×D4
prime radicalC2×D4×D79C23
hypercenter#3388D79
hypocenterC79C2×#3388
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3388

Complements

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

NH ≅ G/Ntype
1. #557×D79C2semidirect
3. #23776352C2semidirect
4. #23776351C2semidirect
5. #23776350C2semidirect
6. #23776349C2semidirect
7. #23776348C2semidirect
8. #23776347C2semidirect
9. #23776346C2semidirect
10. #23776345C2semidirect
11. #23776344C2semidirect
12. #23776343C2semidirect
13. #23776342C2semidirect
14. #23776341C2semidirect
15. #23776340C2semidirect
16. #23776339C2semidirect
17. #23776338C2semidirect
18. #501×D79C2semidirect
19. #501×D79C2semidirect
20. #499×D79C2semidirect
21. #479×D79C2semidirect
22. #479×D79C2semidirect
23. #475×D79C2semidirect
27. #446×D79C2semidirect
31. C79×#3388C2semidirect
33. #19099292C22semidirect
35. #19099291C22semidirect
38. #19099290C22semidirect
39. #19099290C22semidirect
40. #19099289C22semidirect
41. #19099289C22semidirect
43. #19099288C22semidirect
76. #19098973C22semidirect
77. #19098973C22semidirect
78. #19098972C22semidirect
79. #19098972C22semidirect
80. #19098971C22semidirect
81. #19098971C22semidirect
82. #19098971C22semidirect
83. #19098971C22semidirect
84. #19098970C22semidirect
85. #19098970C22semidirect
86. #19098970C22semidirect
87. #19098970C22semidirect
88. #19098969C22semidirect
89. #19098969C22semidirect
90. #19098965C22semidirect
91. #19098964C22semidirect
92. #19098964C22semidirect
93. #19098963C22semidirect
94. #19098963C22semidirect
95. #19098962C22semidirect
96. #19098962C22semidirect
97. #19098873C22semidirect
98. #19098873C22semidirect
99. #19098872C22semidirect
100. #19098872C22semidirect
101. #19098871C22semidirect
102. #19098871C22semidirect
103. #19098870C22semidirect
104. #19098870C22semidirect
105. #19098869C22semidirect
106. #19098869C22semidirect
107. #19098868C22semidirect
108. #19098868C22semidirect
109. #19098867C22semidirect
110. #19098867C22semidirect
132. #19098849C22semidirect
133. #19098848C22semidirect
134. #19098847C22semidirect
135. #19098847C22semidirect
136. #19098846C22semidirect
137. #19098846C22semidirect
138. #19098845C22semidirect
139. #19098694C22semidirect
140. #19098693C22semidirect
141. #19098692C22semidirect
142. #19098692C22semidirect
143. #19098691C22semidirect
144. #19098691C22semidirect
145. #19098690C22semidirect
188. #557×C79C22semidirect
190. #501×C79C22semidirect
191. #501×C79C22semidirect
192. #499×C79C22semidirect
193. #479×C79C22semidirect
194. #479×C79C22semidirect
198. #475×C79C22semidirect
199. #446×C79C22semidirect
214. SD16×D79Q8semidirect
526. #11929613C2×Q8semidirect
527. #11929612C2×Q8semidirect
528. #11929611C2×Q8semidirect
632. SD16×C79C2×Q8semidirect
805. D79#3388direct (N × H)
823. #3388D79direct (N × H)
837. C79C2×#3388semidirect
850. #557C2×D79semidirect
898. #501C2×D79semidirect
899. #501C2×D79semidirect
907. #499C2×D79semidirect
922. #479C2×D79semidirect
923. #479C2×D79semidirect
955. #475C2×D79semidirect
963. #446C2×D79semidirect
1343. SD16Q8×D79semidirect

Maximal subgroups

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

subgroupindex
#557×D792
#554×D792
#237763522
#237763512
#237763502
#237763492
#237763482
#237763472
#237763462
#237763452
#237763442
#237763432
#237763422
#237763412
#237763402
#237763392
#237763382
#501×D792
#499×D792
#479×D792
#475×D792
#478×D792
#476×D792
#446×D792
#440×D792
C4×SD16×D792
C79×#33882
C2×#338879