Finite Group Databasebeta

← #35174829

Subgroups — #35174829

Order 20224.

2100 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777693C211yesmaximal, characteristic, complemented
2#23775738C211yesmaximal, characteristic, complemented
3#23775668C211yesmaximal, characteristic, complemented
4#23775631C211yesmaximal, characteristic, complemented
5#23775601C211yesmaximal, characteristic, complemented
6#23775481C211yesmaximal, characteristic, complemented
7#23775466C211yesmaximal, characteristic, complemented
8#23775421C211yesmaximal, characteristic, complemented
9#23775406C211yesmaximal, characteristic, complemented
10#23775066C211yesmaximal, characteristic, complemented
11#23775053C211yesmaximal, characteristic, complemented
12#23775027C211yesmaximal, characteristic, complemented
13#23774996C211yesmaximal, characteristic, complemented
14#23774981C211yesmaximal, characteristic, complemented
15#23774956C211yesmaximal, characteristic, complemented
16#23774906C211yesmaximal, characteristic, complemented
17#23774891C211yesmaximal, characteristic, complemented
18#23774494C211yesmaximal, characteristic, complemented
19#23774472C211yesmaximal, characteristic, complemented
20#23774297C211yesmaximal, characteristic, complemented
21#23774276C211yesmaximal, characteristic, complemented
22#23774214C211yesmaximal, characteristic, complemented
23#23774206C211yesmaximal, characteristic, complemented
24#23773662C211yesmaximal, characteristic, complemented
25#23773614C211yesmaximal, characteristic, complemented
26#23772704C211yesmaximal, characteristic, complemented
27#23772677C211yesmaximal, characteristic, complemented
28#23772660C211yesmaximal, characteristic, complemented
29#23772642C211yesmaximal, characteristic, complemented
30#23772462C211yesmaximal, characteristic, complemented
31C79×#3488C211yesmaximal, characteristic, complemented
32C2×#14579192C2211yescharacteristic, complemented
33C2×#14579191C2211yescharacteristic, complemented
34C2×#14579191C2211yescharacteristic, complemented
35C2×#14579191C2211yescharacteristic, complemented
36C2×#14579187C2211yescharacteristic, complemented
37C2×#14579187C2211yescharacteristic, complemented
38C2×#14579181C2211yescharacteristic, complemented
39C22×#11929612C2211yescharacteristic, complemented
40#19099314—21no—
41#19099308—21no—
42#19099283C2211yescharacteristic, complemented
43#19099270C2211yescharacteristic, complemented
44#19099267—21no—
45#19099259C2211yescharacteristic, complemented
46#19099256—21no—
47#19099253C2211yescharacteristic, complemented
48D4×Dic158C2211yescharacteristic, complemented
49#19099222C2211yescharacteristic, complemented
50#19099222C2211yescharacteristic, complemented
51#19099218C2211yescharacteristic, complemented
52#19099184C2211yescharacteristic, complemented
53#19099181—21no—
54#19099175C2211yescharacteristic, complemented
55#19099156—21no—
56#19099148—21no—
57#19099148—21no—
58#19099141C2211yescharacteristic, complemented
59#19099134C2211yescharacteristic, complemented
60#19099074C2211yescharacteristic, complemented
61C2×#14579140C2211yescharacteristic, complemented
62#19098958C2211yescharacteristic, complemented
63#19098950C2211yescharacteristic, complemented
64#19098945C2211yescharacteristic, complemented
65#19098935C2211yescharacteristic, complemented
66#19098927C2211yescharacteristic, complemented
67#19098922C2211yescharacteristic, complemented
68#19098917C2211yescharacteristic, complemented
69#19098909C2211yescharacteristic, complemented
70#19098901C2211yescharacteristic, complemented
71#19098898C2211yescharacteristic, complemented
72#19098898C2211yescharacteristic, complemented
73#19098896C2211yescharacteristic, complemented
74#19098893C2211yescharacteristic, complemented
75#19098884C2211yescharacteristic, complemented
76#19098884C2211yescharacteristic, complemented
77#19098884C2211yescharacteristic, complemented
78#19098876C2211yescharacteristic, complemented
79#19098874C2211yescharacteristic, complemented
80#19098874C2211yescharacteristic, complemented
81#19098874C2211yescharacteristic, complemented
82#19098870C2211yescharacteristic, complemented
83#19098863C2211yescharacteristic, complemented
84#19098858C2211yescharacteristic, complemented
85#19098843C2211yescharacteristic, complemented
86#19098819C2211yescharacteristic, complemented
87#19098814C2211yescharacteristic, complemented
88#19098814C2211yescharacteristic, complemented
89#19098811C2211yescharacteristic, complemented
90#19098807C2211yescharacteristic, complemented
91#19098807C2211yescharacteristic, complemented
92#19098807C2211yescharacteristic, complemented
93#19098807C2211yescharacteristic, complemented
94#19098807C2211yescharacteristic, complemented
95#19098807C2211yescharacteristic, complemented
96#19098807C2211yescharacteristic, complemented
97#19098807C2211yescharacteristic, complemented
98#19098802C2211yescharacteristic, complemented
99#19098802C2211yescharacteristic, complemented
100#19098797C2211yescharacteristic, complemented
101#19098790C2211yescharacteristic, complemented
102#19098785C2211yescharacteristic, complemented
103#19098782C2211yescharacteristic, complemented
104#19098782C2211yescharacteristic, complemented
105#19098782C2211yescharacteristic, complemented
106#19098778C2211yescharacteristic, complemented
107#19098775C2211yescharacteristic, complemented
108#19098773C2211yescharacteristic, complemented
109#19098768C2211yescharacteristic, complemented
110#19098760C2211yescharacteristic, complemented
111#19098760C2211yescharacteristic, complemented
112#19098760C2211yescharacteristic, complemented
113#19098755C2211yescharacteristic, complemented
114#19098725C2211yescharacteristic
115#19098725C2211yescharacteristic
116#19098725C2211yescharacteristic
117#19098725C2211yescharacteristic, complemented
118#19098725C2211yescharacteristic, complemented
119#19098725C2211yescharacteristic, complemented
120#19098725C2211yescharacteristic, complemented
121#19098725C2211yescharacteristic, complemented
122#19098725C2211yescharacteristic, complemented
123#19098725C2211yescharacteristic, complemented
124#19098725C2211yescharacteristic, complemented
125#19098723C2211yescharacteristic, complemented
126#19098719C2211yescharacteristic, complemented
127#19098719C2211yescharacteristic, complemented
128#19098718C2211yescharacteristic, complemented
129#19098714C2211yescharacteristic, complemented
130#19098714C2211yescharacteristic, complemented
131#19098714C2211yescharacteristic, complemented
132#19098714C2211yescharacteristic, complemented
133#19098714C2211yescharacteristic, complemented
134#19098714C2211yescharacteristic, complemented
135#19098714C2211yescharacteristic, complemented
136#19098714C2211yescharacteristic, complemented
137#19098708C2211yescharacteristic
138#19098708C2211yescharacteristic, complemented
139#19098708C2211yescharacteristic, complemented
140#19098708C2211yescharacteristic, complemented
141#19098708C2211yescharacteristic, complemented
142#19098706C2211yescharacteristic, complemented
143#19098706C2211yescharacteristic, complemented
144#19098706C2211yescharacteristic, complemented
145#19098701C2211yescharacteristic, complemented
146#19098701C2211yescharacteristic, complemented
147#19098701C2211yescharacteristic, complemented
148#19098697C2211yescharacteristic, complemented
149#19098697C2211yescharacteristic, complemented
150#19098668C2211yescharacteristic, complemented
151#19098663C2211yescharacteristic, complemented
152#19098663C2211yescharacteristic, complemented
153#19098661C2211yescharacteristic, complemented
154C4×#11929614C2211yescharacteristic, complemented
155C4×#11929614C2211yescharacteristic, complemented
156C4×#11929612C2211yescharacteristic, complemented
157C4×#11929609C2211yescharacteristic, complemented
158#19098641C2211yescharacteristic, complemented
159#19098641C2211yescharacteristic, complemented
160#19098641C2211yescharacteristic, complemented
161#19098641C2211yescharacteristic, complemented
162#19098635C2211yescharacteristic, complemented
163#19098635C2211yescharacteristic, complemented
164#19098635C2211yescharacteristic, complemented
165#19098635C2211yescharacteristic, complemented
166#19098624C2211yescharacteristic, complemented
167#19098624C2211yescharacteristic, complemented
168#19098572C2211yescharacteristic, complemented
169#19098568C2211yescharacteristic, complemented
170#19098568C2211yescharacteristic, complemented
171#19098564C2211yescharacteristic, complemented
172#19098564C2211yescharacteristic, complemented
173#19098564C2211yescharacteristic, complemented
174#19098559C2211yescharacteristic, complemented
175C2×#14579082C2211yescharacteristic, complemented
176#19098530C2211yescharacteristic, complemented
177#19098530C2211yescharacteristic, complemented
178#19098527C2211yescharacteristic, complemented
179#19098527C2211yescharacteristic, complemented
180C2×H(5,𝔽2)×C79C2211yescharacteristic
181C22×#41×C79C2211yescharacteristic
182#550×C79C2211yescharacteristic
183#550×C79C2211yescharacteristic
184#548×C79C2211yescharacteristic
185#548×C79C2211yescharacteristic
186#546×C79—21no—
187#546×C79—21no—
188#546×C79C2211yescharacteristic
189#546×C79C2211yescharacteristic
190D42×C79—21no—
191D42×C79—21no—
192D42×C79C2211yescharacteristic
193D42×C79C2211yescharacteristic
194#537×C79—21no—
195#537×C79C2211yescharacteristic
196#535×C79—21no—
197#535×C79C2211yescharacteristic
198#525×C79—21no—
199#525×C79C2211yescharacteristic
200C2×#121×C79—21no—
201C2×#121×C79C2211yescharacteristic
202#520×C79C2211yescharacteristic
203C2×#11929624C2311yescharacteristic
204C2×#11929624C2311yescharacteristic
205C22×Dic158C2311yescharacteristic
206C22×Dic158C2311yescharacteristic
207#14579192—42no—
208#14579191—42no—
209#14579191—42no—
210#14579191—42no—
211#14579187—42no—
212#14579187—42no—
213#14579181—42no—
214C2×#11929614C2311yescharacteristic
215C2×#11929614C2311yescharacteristic
216C2×#11929614C2311yescharacteristic
217C2×#11929614C2311yescharacteristic
218C2×#11929614C2311yescharacteristic
219C2×#11929614C2311yescharacteristic
220C2×#11929612—42no—
221C2×#11929612C2311yescharacteristic
222C2×#11929612C2311yescharacteristic
223C2×#11929612C2311yescharacteristic
224C2×#11929612C2311yescharacteristic
225C2×#11929612C2311yescharacteristic
226C2×#11929612C2311yescharacteristic
227C2×#11929612C2311yescharacteristic
228C2×#11929612C2311yescharacteristic
229C2×#11929612C2311yescharacteristic
230C2×#11929612C2311yescharacteristic
231C2×#11929612C2311yescharacteristic
232C2×#11929612C2311yescharacteristic
233C2×#11929611C2311yescharacteristic
234C2×#11929611C2311yescharacteristic
235C2×#11929609C2311yescharacteristic
236C2×#11929609C2311yescharacteristic
237C2×#11929609C2311yescharacteristic
238C2×#11929609C2311yescharacteristic
239C2×#11929608C2311yescharacteristic
240C2×#11929608C2311yescharacteristic
241C2×#11929608C2311yescharacteristic
242C2×#11929608C2311yescharacteristic
243C2×#11929608C2311yescharacteristic
244C2×#11929608C2311yescharacteristic
245C22×C79⋊C8C2311yescharacteristic
246C22×C79⋊C8C2311yescharacteristic
247#14579161C2311yescharacteristic
248#14579161C2311yescharacteristic
249#14579160—21no—
250#14579159—21no—
251#14579156—21no—
252#14579156—21no—
253#14579154—21no—
254#14579154—21no—
255#14579154—21no—
256#14579154—21no—
257#14579154—21no—
258#14579153C2311yescharacteristic
259#14579152—21no—
260#14579151—21no—
261#14579151—21no—
262#14579151—21no—
263#14579149C2311yescharacteristic
264#14579148—21no—
265#14579148—21no—
266#14579147—21no—
267#14579147—21no—
268#14579147—21no—
269#14579144—21no—
270#14579143—21no—
271#14579143—21no—
272#14579143—21no—
273#14579143—21no—
274#14579142—21no—
275#14579142—21no—
276#14579142—21no—
277#14579140—21no—
278#14579140—21no—
279#14579140C2311yescharacteristic
280#14579140C2311yescharacteristic
281#14579140C2311yescharacteristic
282#14579140C2311yescharacteristic
283#14579140C2311yescharacteristic
284#14579140C2311yescharacteristic
285#14579140C2311yescharacteristic
286#14579140C2311yescharacteristic
287#14579140C2311yescharacteristic
288#14579139—21no—
289#14579139—21no—
290#14579139—21no—
291#14579138—21no—
292#14579138—21no—
293#14579138—21no—
294#14579138—21no—
295#14579137—21no—
296#14579135C2311yescharacteristic
297#14579135C2311yescharacteristic
298#14579135C2311yescharacteristic
299#14579133—21no—
300#14579133—21no—
301#14579133—21no—
302#14579133—21no—
303#14579133—21no—
304#14579132—21no—
305#14579132—21no—
306#14579130—21no—
307C4×Dic158C2311yescharacteristic
308C4×Dic158C2311yescharacteristic
309C4×Dic158C2311yescharacteristic
310#14579126—21no—
311C4×D316C2311yescharacteristic
312D4×Dic79—21no—
313D4×Dic79—21no—
314C4×C22⋊D79—21no—
315C4×C22⋊D79—21no—
316(C22⋊D79)⋊C4—21no—
317(C22⋊D79)⋊C4—21no—
318(C22⋊D79)⋊C4—21no—
319#14579120C2311yescharacteristic
320#14579120C2311yescharacteristic
321#14579117—21no—
322C2×C4⋊Dic79C2311yescharacteristic
323C2×C4⋊Dic79C2311yescharacteristic
324C2×Dic79⋊C4—21no—
325C4⋊C4×D79—21no—
326C2×C22⋊Dic79—21no—
327#14579094C2311yescharacteristic
328#14579094C2311yescharacteristic
329#14579094C2311yescharacteristic
330#14579094C2311yescharacteristic
331#14579094C2311yescharacteristic
332#14579094C2311yescharacteristic
333#14579092C2311yescharacteristic
334#14579092C2311yescharacteristic
335C4⋊(C79⋊C8)C2311yescharacteristic
336C4⋊(C79⋊C8)C2311yescharacteristic
337C4⋊(C79⋊C8)C2311yescharacteristic
338C4⋊(C79⋊C8)C2311yescharacteristic
339#14579085C2311yescharacteristic
340#14579085C2311yescharacteristic
341#14579085C2311yescharacteristic
342#14579085C2311yescharacteristic
343#14579085C2311yescharacteristic
344#14579085C2311yescharacteristic
345#14579085C2311yescharacteristic
346#14579085C2311yescharacteristic
347#14579084C2311yescharacteristic
348#14579084C2311yescharacteristic
349#14579084C2311yescharacteristic
350#14579084C2311yescharacteristic
351#14579084C2311yescharacteristic
352#14579084C2311yescharacteristic
353#14579082C2311yescharacteristic
354#14579082C2311yescharacteristic
355#14579082C2311yescharacteristic
356#14579082C2311yescharacteristic
357#14579082C2311yescharacteristic
358#14579082C2311yescharacteristic
359#14579082C2311yescharacteristic
360#14579082C2311yescharacteristic
361#14579082C2311yescharacteristic
362#14579082C2311yescharacteristic
363#14579082C2311yescharacteristic
364#14579082C2311yescharacteristic
365#14579082C2311yescharacteristic
366#14579082C2311yescharacteristic
367#14579082C2311yescharacteristic
368#14579082C2311yescharacteristic
369#14579081C2311yescharacteristic
370#14579081C2311yescharacteristic
371C22⋊(C79⋊C8)C2311yescharacteristic
372C22⋊(C79⋊C8)C2311yescharacteristic
373C22⋊(C79⋊C8)C2311yescharacteristic
374C22⋊(C79⋊C8)C2311yescharacteristic
375C22⋊(C79⋊C8)C2311yescharacteristic
376C22⋊(C79⋊C8)C2311yescharacteristic
377C22⋊(C79⋊C8)C2311yescharacteristic
378C22⋊(C79⋊C8)C2311yescharacteristic
379C22⋊(C79⋊C8)C2311yescharacteristic
380C22⋊(C79⋊C8)C2311yescharacteristic
381C22⋊(C79⋊C8)C2311yescharacteristic
382C22⋊(C79⋊C8)C2311yescharacteristic
383#14579072C2311yescharacteristic
384#14579072C2311yescharacteristic
385C4×C79⋊C8C2311yescharacteristic
386C4×C79⋊C8C2311yescharacteristic
387H(5,𝔽2)×C79—42no—
388H(5,𝔽2)×C79—42no—
389C2×#41×C79—21no—
390C2×#41×C79—21no—
391C2×#41×C79—21no—
392C2×#41×C79—42no—
393C2×#41×C79—42no—
394C2×#41×C79C2311yescharacteristic
395C2×#41×C79C2311yescharacteristic
396C2×#41×C79C2311yescharacteristic
397C2×#41×C79C2311yescharacteristic
398C2×#41×C79C2311yescharacteristic
399C2×#41×C79C2311yescharacteristic
400C2×#41×C79C2311yescharacteristic
401C22×Q8×C79C2311yescharacteristic
402C22×D4×C79—21no—
403C22×D4×C79—21no—
404C22×D4×C79—21no—
405C22×D4×C79—21no—
406C22×D4×C79—21no—
407C22×D4×C79—21no—
408C22×D4×C79—21no—
409C22×D4×C79C2311yescharacteristic
410C22×D4×C79C2311yescharacteristic
411C22×D4×C79C2311yescharacteristic
412C22×D4×C79C2311yescharacteristic
413C23×C4×C79—21no—
414C23×C4×C79C2311yescharacteristic
415#127×C79—21no—
416#127×C79—21no—
417#127×C79C2311yescharacteristic
418#127×C79C2311yescharacteristic
419#124×C79—21no—
420#124×C79—21no—
421#124×C79C2311yescharacteristic
422#124×C79C2311yescharacteristic
423#123×C79—21no—
424#123×C79—21no—
425#123×C79D411yescharacteristic
426#123×C79D411yescharacteristic
427C22⋊Q8×C79—21no—
428C22⋊Q8×C79—21no—
429C22⋊Q8×C79—21no—
430C22⋊Q8×C79D411yescharacteristic
431C22⋊Q8×C79D411yescharacteristic
432C22⋊Q8×C79C2311yescharacteristic
433C22⋊Q8×C79C2311yescharacteristic
434#121×C79—21no—
435#121×C79—21no—
436#121×C79—21no—
437#121×C79—21no—
438#121×C79—21no—
439#121×C79—21no—
440#121×C79—21no—
441#121×C79—21no—
442#121×C79—21no—
443#121×C79—21no—
444#121×C79—21no—
445#121×C79—21no—
446#121×C79—21no—
447#121×C79—21no—
448#121×C79—21no—
449#121×C79—21no—
450#121×C79—21no—
451#121×C79D411yescharacteristic
452#121×C79D411yescharacteristic
453#121×C79C2311yescharacteristic
454#121×C79C2311yescharacteristic
455#121×C79C2311yescharacteristic
456#121×C79C2311yescharacteristic
457#121×C79C2311yescharacteristic
458#121×C79C2311yescharacteristic
459#120×C79—21no—
460#120×C79—21no—
461#120×C79—21no—
462#120×C79—21no—
463#120×C79—21no—
464#120×C79—21no—
465#120×C79—21no—
466#120×C79—21no—
467#120×C79D411yescharacteristic
468#120×C79D411yescharacteristic
469C4×Q8×C79C2311yescharacteristic
470C4×Q8×C79C2311yescharacteristic
471C4×D4×C79—21no—
472C4×D4×C79—21no—
473C4×D4×C79—21no—
474C4×D4×C79—21no—
475C4×D4×C79—21no—
476C4×D4×C79—21no—
477C4×D4×C79C2311yescharacteristic
478C4×D4×C79C2311yescharacteristic
479C4×D4×C79C2311yescharacteristic
480C4×D4×C79C2311yescharacteristic
481C4×D4×C79C2311yescharacteristic
482C4×D4×C79C2311yescharacteristic
483#117×C79—21no—
484#117×C79C2311yescharacteristic
485C2×C4⋊C4×C79—21no—
486C2×C4⋊C4×C79C2311yescharacteristic
487C2×C22⋊C4×C79—21no—
488C2×C22⋊C4×C79—21no—
489C2×C22⋊C4×C79—21no—
490#11929624—41no—
491#11929624—41no—
492#11929624—41no—
493#11929624—41no—
494C2×Dic158—21no—
495C2×Dic158—21no—
496C2×Dic158—21no—
497C2×Dic158—41no—
498C2×Dic158—41no—
499C2×Dic158—41no—
500C2×Dic158—41no—
501C2×Dic158C2411yescharacteristic
502C2×Dic158C2411yescharacteristic
503C2×Dic158C2411yescharacteristic
504C2×D316C2411yescharacteristic
505C2×C22⋊D79—21no—
506C2×C22⋊D79—21no—
507C2×C22⋊D79—21no—
508C2×C22⋊D79—21no—
509C2×C22⋊D79—21no—
510C22×Dic79—21no—
511C22×Dic79—21no—
512C22×Dic79—21no—
513C22×Dic79—21no—
514C2×C4×D79—21no—
515C2×C4×D79—21no—
516C2×C4×D79—21no—
517#11929614—22no—
518#11929614—22no—
519#11929614—22no—
520#11929614—41no—
521#11929614—41no—
522#11929614—41no—
523#11929612—22no—
524#11929612—22no—
525#11929612—22no—
526#11929612—41no—
527#11929612—41no—
528#11929612—41no—
529#11929612—41no—
530#11929612—41no—
531#11929612—41no—
532#11929612—41no—
533#11929612—41no—
534#11929612—41no—
535#11929611—22no—
536#11929611—41no—
537#11929609—22no—
538#11929609—41no—
539#11929609—41no—
540#11929609—41no—
541#11929608—41no—
542#11929608—41no—
543#11929608—41no—
544#11929608—41no—
545#11929608—41no—
546#11929608—41no—
547C2×C79⋊C8—41no—
548C2×C79⋊C8—41no—
549C2×C79⋊C8C2411yescharacteristic
550C2×C79⋊C8C2411yescharacteristic
551C2×C79⋊C8C2411yescharacteristic
552C2×C79⋊C8C2411yescharacteristic
553C2×C79⋊C8C2411yescharacteristic
554C2×C79⋊C8C2411yescharacteristic
555C2×C79⋊C8C2411yescharacteristic
556C2×C79⋊C8C2411yescharacteristic
557C4⋊Dic79—21no—
558C4⋊Dic79—21no—
559C4⋊Dic79—21no—
560C4⋊Dic79—21no—
561C4⋊Dic79—21no—
562C4⋊Dic79C2411yescharacteristic
563C4⋊Dic79C2411yescharacteristic
564C4⋊Dic79C2411yescharacteristic
565C4⋊Dic79C2411yescharacteristic
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—
580C22⋊Dic79—21no—
581C22⋊Dic79—21no—
582C22⋊Dic79—21no—
583C22⋊Dic79—21no—
584C22⋊Dic79—21no—
585C22⋊Dic79—21no—
586C22⋊Dic79—21no—
587C22⋊Dic79—21no—
588C22⋊Dic79—21no—
589C22⋊Dic79—21no—
590C22⋊Dic79—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—
597C4×Dic79—21no—
598C4×Dic79—21no—
599C4×Dic79—21no—
600C4×Dic79—21no—
601C4×Dic79—21no—
602C24×C79—21no—
603C24×C79—21no—
604C24×C79—21no—
605C24×C79—21no—
606C24×C79C2×D411yescharacteristic
607#41×C79—22no—
608#41×C79—22no—
609#41×C79—22no—
610#41×C79—22no—
611#41×C79—22no—
612#41×C79—22no—
613#41×C79—41no—
614#41×C79—41no—
615#41×C79—41no—
616#41×C79—41no—
617#41×C79—41no—
618#41×C79—41no—
619#41×C79—41no—
620#41×C79—41no—
621#41×C79—44no—
622#41×C79—44no—
623#41×C79—44no—
624C2×Q8×C79—21no—
625C2×Q8×C79—22no—
626C2×Q8×C79—41no—
627C2×Q8×C79C2×D411yescharacteristic
628C2×Q8×C79C2411yescharacteristic
629C2×Q8×C79C2411yescharacteristic
630C2×D4×C79—21no—
631C2×D4×C79—22no—
632C2×D4×C79—22no—
633C2×D4×C79—22no—
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×C79—21no—
641C2×D4×C79—21no—
642C2×D4×C79—21no—
643C2×D4×C79—21no—
644C2×D4×C79—21no—
645C2×D4×C79—21no—
646C2×D4×C79—21no—
647C2×D4×C79—21no—
648C2×D4×C79—21no—
649C2×D4×C79—21no—
650C2×D4×C79—21no—
651C2×D4×C79—21no—
652C2×D4×C79—21no—
653C2×D4×C79—41no—
654C2×D4×C79—41no—
655C2×D4×C79—41no—
656C2×D4×C79—41no—
657C2×D4×C79—41no—
658C2×D4×C79—44no—
659C2×D4×C79—44no—
660C2×D4×C79—44no—
661C2×D4×C79—44no—
662C2×D4×C79—82no—
663C2×D4×C79—82no—
664C2×D4×C79—82no—
665C2×D4×C79C2×D411yescharacteristic
666C2×D4×C79C2×D411yescharacteristic
667C2×D4×C79C2×D411yescharacteristic
668C2×D4×C79C2×D411yescharacteristic
669C2×D4×C79C2×D411yescharacteristic
670C2×D4×C79C2×D411yescharacteristic
671C2×D4×C79C2×D411yescharacteristic
672C2×D4×C79C2411yescharacteristic
673C2×D4×C79C2411yescharacteristic
674C2×D4×C79C2411yescharacteristic
675C2×D4×C79C2411yescharacteristic
676C22×C4×C79—21no—
677C22×C4×C79—21no—
678C22×C4×C79—21no—
679C22×C4×C79—21no—
680C22×C4×C79—21no—
681C22×C4×C79—21no—
682C22×C4×C79—21no—
683C22×C4×C79—21no—
684C22×C4×C79—21no—
685C22×C4×C79—21no—
686C22×C4×C79—41no—
687C22×C4×C79—41no—
688C22×C4×C79—44no—
689C22×C4×C79C2×D411yescharacteristic
690C22×C4×C79C2×D411yescharacteristic
691C22×C4×C79C2×D411yescharacteristic
692C22×C4×C79C2411yescharacteristic
693C22×C4×C79C2411yescharacteristic
694C22×C4×C79C2411yescharacteristic
695C22×C4×C79C2411yescharacteristic
696C22×C4×C79C2411yescharacteristic
697C4⋊C4×C79—21no—
698C4⋊C4×C79—21no—
699C4⋊C4×C79—21no—
700C4⋊C4×C79—21no—
701C4⋊C4×C79—21no—
702C4⋊C4×C79C2×D411yescharacteristic
703C4⋊C4×C79C2×D411yescharacteristic
704C4⋊C4×C79C2×D411yescharacteristic
705C4⋊C4×C79C2×D411yescharacteristic
706C4⋊C4×C79C2×D411yescharacteristic
707C4⋊C4×C79C2×D411yescharacteristic
708C4⋊C4×C79C2411yescharacteristic
709C4⋊C4×C79C2411yescharacteristic
710C22⋊C4×C79—21no—
711C22⋊C4×C79—21no—
712C22⋊C4×C79—21no—
713C22⋊C4×C79—21no—
714C22⋊C4×C79—21no—
715C22⋊C4×C79—21no—
716C22⋊C4×C79—21no—
717C22⋊C4×C79—21no—
718C22⋊C4×C79—21no—
719C22⋊C4×C79—21no—
720C22⋊C4×C79—21no—
721C22⋊C4×C79—21no—
722C22⋊C4×C79—21no—
723C22⋊C4×C79—21no—
724C22⋊C4×C79C2×D411yescharacteristic
725C22⋊C4×C79C2×D411yescharacteristic
726C22⋊C4×C79C2×D411yescharacteristic
727C22⋊C4×C79C2×D411yescharacteristic
728C22⋊C4×C79C2×D411yescharacteristic
729C22⋊C4×C79C2×D411yescharacteristic
730C22⋊C4×C79C2×D411yescharacteristic
731C22⋊C4×C79C2×D411yescharacteristic
732C22⋊C4×C79C2×D411yescharacteristic
733C22⋊C4×C79C2×D411yescharacteristic
734C42×C79—21no—
735C42×C79—21no—
736C42×C79C2411yescharacteristic
737C42×C79C2411yescharacteristic
738C23×C79—21no—
739C23×C79—21no—
740C23×C79—21no—
741C23×C79—21no—
742C23×C79—41no—
743C23×C79—41no—
744C23×C79—41no—
745C23×C79—42no—
746C23×C79—42no—
747C23×C79—42no—
748C23×C79—42no—
749C23×C79—42no—
750C23×C79—81no—
751C23×C79—81no—
752C23×C79—81no—
753C23×C79—81no—
754C23×C79—81no—
755C23×C79—81no—
756C23×C79—81no—
757C23×C79C22×D411yescharacteristic
758C23×C79C22×D411yescharacteristic
759C23×C79C22×D411yescharacteristic
760C23×C79C22×D411yescharacteristic
761C23×C79C22×D411yescharacteristic
762C22×D79—21no—
763Q8×C79—21no—
764Q8×C79—21no—
765Q8×C79—21no—
766Q8×C79—41no—
767Q8×C79—42no—
768Q8×C79H(5,𝔽2)12yes—
769D4×C79—24no—
770D4×C79—21no—
771D4×C79—21no—
772D4×C79—21no—
773D4×C79—21no—
774D4×C79—21no—
775D4×C79—21no—
776D4×C79—21no—
777D4×C79—41no—
778D4×C79—41no—
779D4×C79—41no—
780D4×C79—41no—
781D4×C79—41no—
782D4×C79—41no—
783D4×C79—41no—
784D4×C79—42no—
785D4×C79—42no—
786D4×C79—42no—
787D4×C79—42no—
788D4×C79—42no—
789D4×C79—42no—
790D4×C79—42no—
791D4×C79—42no—
792D4×C79—42no—
793D4×C79—42no—
794D4×C79—42no—
795D4×C79—81no—
796D4×C79—81no—
797D4×C79—81no—
798D4×C79—81no—
799D4×C79—81no—
800D4×C79—81no—
801D4×C79—81no—
802D4×C79—81no—
803D4×C79H(5,𝔽2)12yes—
804C2×C4×C79—24no—
805C2×C4×C79—21no—
806C2×C4×C79—21no—
807C2×C4×C79—21no—
808C2×C4×C79—21no—
809C2×C4×C79—21no—
810C2×C4×C79—21no—
811C2×C4×C79—21no—
812C2×C4×C79—21no—
813C2×C4×C79—21no—
814C2×C4×C79—21no—
815C2×C4×C79—21no—
816C2×C4×C79—21no—
817C2×C4×C79—21no—
818C2×C4×C79—21no—
819C2×C4×C79—41no—
820C2×C4×C79—41no—
821C2×C4×C79—41no—
822C2×C4×C79—42no—
823C2×C4×C79—42no—
824C2×C4×C79—42no—
825C2×C4×C79—42no—
826C2×C4×C79—42no—
827C2×C4×C79—42no—
828C2×C4×C79—81no—
829C2×C4×C79—81no—
830C2×C4×C79—81no—
831C2×C4×C79C22×D411yescharacteristic
832C2×C4×C79C22×D411yescharacteristic
833C2×C4×C79C22×D411yescharacteristic
834C2×C4×C79C22×D411yescharacteristic
835C2×C4×C79C22×D411yescharacteristic
836C2×C4×C79C22×D411yescharacteristic
837C2×C4×C79C22×D411yescharacteristic
838C2×C4×C79C22×D411yescharacteristic
839C2×C4×C79C22×D411yescharacteristic
840C2×C4×C79C2511yescharacteristic
841C22⋊D79—42no—
842C22⋊D79—81no—
843C22⋊D79—81no—
844C22⋊D79—81no—
845C22⋊D79—81no—
846C2×Dic79—21no—
847C2×Dic79—21no—
848C2×Dic79—21no—
849C2×Dic79—21no—
850C2×Dic79—21no—
851C2×Dic79—21no—
852C2×Dic79—21no—
853C2×Dic79—81no—
854C2×Dic79—81no—
855C2×Dic79—81no—
856C2×Dic79—81no—
857D316—21no—
858D316—21no—
859C4×D79—81no—
860C4×D79—81no—
861C4×D79—81no—
862Dic158—21no—
863Dic158—21no—
864Dic158—21no—
865Dic158—21no—
866Dic158—21no—
867Dic158—21no—
868Dic158—81no—
869Dic158—81no—
870Dic158—81no—
871C79⋊C8—21no—
872C79⋊C8—21no—
873C79⋊C8—21no—
874C79⋊C8—21no—
875C79⋊C8—21no—
876C79⋊C8—21no—
877C79⋊C8—21no—
878C79⋊C8—21no—
879C22×C79—21no—
880C22×C79—21no—
881C22×C79—21no—
882C22×C79—21no—
883C22×C79—21no—
884C22×C79—21no—
885C22×C79—21no—
886C22×C79—21no—
887C22×C79—21no—
888C22×C79—21no—
889C22×C79—21no—
890C22×C79—21no—
891C22×C79—21no—
892C22×C79—22no—
893C22×C79—21no—
894C22×C79—21no—
895C22×C79—41no—
896C22×C79—41no—
897C22×C79—41no—
898C22×C79—41no—
899C22×C79—41no—
900C22×C79—41no—
901C22×C79—41no—
902C22×C79—41no—
903C22×C79—41no—
904C22×C79—41no—
905C22×C79—41no—
906C22×C79—82no—
907C22×C79—84no—
908C22×C79—162no—
909C22×C79—162no—
910C22×C79—162no—
911C22×C79C23×D411yescharacteristic
912C2×D79—41no—
913C2×D79—41no—
914C2×D79—41no—
915C4×C79—21no—
916C4×C79—21no—
917C4×C79—21no—
918C4×C79—21no—
919C4×C79—21no—
920C4×C79—22no—
921C4×C79—21no—
922C4×C79—21no—
923C4×C79—21no—
924C4×C79—21no—
925C4×C79—41no—
926C4×C79—41no—
927C4×C79—41no—
928C4×C79C2×H(5,𝔽2)11yescharacteristic
929C4×C79C2×H(5,𝔽2)11yescharacteristic
930Dic79—41no—
931Dic79—41no—
932Dic79—41no—
933Dic79—41no—
934Dic79—41no—
935Dic79—41no—
936Dic79—41no—
937#61654—791nomaximal, Sylow
938C2×C79—41no—
939C2×C79—41no—
940C2×C79—41no—
941C2×C79—41no—
942C2×C79—41no—
943C2×C79—42no—
944C2×C79—81no—
945C2×C79—81no—
946C2×C79—81no—
947C2×C79#348411yescharacteristic
948C2×C79#358511yescharacteristic
949C2×C79#358611yescharacteristic
950D79—81no—
951#3541—791no—
952#3488D7911yescharacteristic, complemented
953#3333—791no—
954#3327—791no—
955#3324—791no—
956#3322—791no—
957#3314—791no—
958#3313—791no—
959#3310—791no—
960#3309—791no—
961#3278—791no—
962#3277—791no—
963#3275—791no—
964#3272—791no—
965#3271—791no—
966#3269—791no—
967#3266—791no—
968#3265—791no—
969#3224—791no—
970#3222—791no—
971#3203—791no—
972#3201—791no—
973#3194—791no—
974#3193—791no—
975#3124—791no—
976#3120—791no—
977#3012—791no—
978#3009—791no—
979#3007—791no—
980#3005—791no—
981#2978—791no—
982C79#6165411yescharacteristic, complemented, Sylow
983C2×H(5,𝔽2)C2×D7911yescharacteristic
984C22×#41C2×D7911yescharacteristic
985C2×#137—791no—
986C2×#137—791no—
987C2×#137—791no—
988C2×#137—791no—
989C2×AGL(1,ℤ/8)—791no—
990C2×AGL(1,ℤ/8)—791no—
991C2×#135—791no—
992C22×SD16—791no—
993#563—1581no—
994#562—1581no—
995#556—791no—
996#554—791no—
997#554—1581no—
998#553—791no—
999#553—1581no—
1000#552—791no—
1001#550C2×D7911yescharacteristic
1002#550C2×D7911yescharacteristic
1003D4×Q8—791no—
1004#548—791no—
1005#548—791no—
1006#548C2×D7911yescharacteristic
1007#548C2×D7911yescharacteristic
1008#547—791no—
1009#546—21no—
1010#546—21no—
1011#546C2×D7911yescharacteristic
1012#546C2×D7911yescharacteristic
1013D42—21no—
1014D42—21no—
1015D42C2×D7911yescharacteristic
1016D42C2×D7911yescharacteristic
1017#542—791no—
1018#542—1581no—
1019#541—791no—
1020#539—1581no—
1021#538—1581no—
1022#538—1581no—
1023#537—21no—
1024#537—791no—
1025#537C2×D7911yescharacteristic
1026#536—791no—
1027#535—21no—
1028#535C2×D7911yescharacteristic
1029#525—21no—
1030#525—791no—
1031#525C2×D7911yescharacteristic
1032C2×C22⋊Q8—791no—
1033C2×#121—21no—
1034C2×#121C2×D7911yescharacteristic
1035#520C2×D7911yescharacteristic
1036#497—791no—
1037#496—791no—
1038#495—791no—
1039#492—791no—
1040#490—791no—
1041#489—791no—
1042#488—791no—
1043#486—791no—
1044#485—791no—
1045#484—791no—
1046#484—791no—
1047#484—791no—
1048#483—791no—
1049#482—791no—
1050#482—791no—
1051#482—791no—
1052#480—791no—
1053#480—791no—
1054#480—791no—
1055#480—791no—
1056#479—791no—
1057#478—791no—
1058#477—791no—
1059#474—791no—
1060#470—791no—
1061#469—791no—
1062#469—791no—
1063#468—791no—
1064#468—791no—
1065#468—791no—
1066#468—791no—
1067#468—791no—
1068#468—791no—
1069#468—791no—
1070#468—791no—
1071#468—791no—
1072#467—791no—
1073#467—791no—
1074#466—791no—
1075#465—791no—
1076#464—791no—
1077#464—791no—
1078#464—791no—
1079#464—791no—
1080#463—791no—
1081#463—791no—
1082#462—791no—
1083#461—791no—
1084#460—791no—
1085#460—791no—
1086#460—791no—
1087#459—791no—
1088#452—791no—
1089#452—791no—
1090#452—791no—
1091#452—791no—
1092#452—791no—
1093#452—791no—
1094#452—791no—
1095#452—791no—
1096#452—791no—
1097#452—791no—
1098#452—791no—
1099#452—791no—
1100#451—791no—
1101#451—791no—
1102#451—791no—
1103#450—791no—
1104#450—791no—
1105#450—791no—
1106#450—791no—
1107#450—791no—
1108#450—791no—
1109#450—791no—
1110#450—791no—
1111#449—791no—
1112#449—791no—
1113#449—791no—
1114#449—791no—
1115#449—791no—
1116#449—791no—
1117#449—791no—
1118#449—791no—
1119#448—791no—
1120#448—791no—
1121#448—791no—
1122#447—791no—
1123#447—791no—
1124#441—791no—
1125#440—791no—
1126#440—791no—
1127#440—791no—
1128C4×Q16—791no—
1129C4×Q16—791no—
1130C4×SD16—791no—
1131C4×D8—791no—
1132#436—791no—
1133#436—791no—
1134#436—791no—
1135#436—791no—
1136#435—791no—
1137#435—791no—
1138#435—791no—
1139#435—791no—
1140#433—791no—
1141#433—791no—
1142#419—791no—
1143#418—791no—
1144#418—791no—
1145#417—791no—
1146#417—791no—
1147#417—791no—
1148#416—791no—
1149C2×#102—791no—
1150#408—791no—
1151#408—791no—
1152#407—791no—
1153#407—791no—
1154H(5,𝔽2)—42no—
1155H(5,𝔽2)—42no—
1156C2×#41—21no—
1157C2×#41—21no—
1158C2×#41—21no—
1159C2×#41—42no—
1160C2×#41—42no—
1161C2×#41—791no—
1162C2×#41—791no—
1163C2×#41C22×D7911yescharacteristic
1164C2×#41C22×D7911yescharacteristic
1165C2×#41C22×D7911yescharacteristic
1166C2×#41C22×D7911yescharacteristic
1167C2×#41C22×D7911yescharacteristic
1168C2×#41C22×D7911yescharacteristic
1169C2×#41C22×D7911yescharacteristic
1170C22×Q8—791no—
1171C22×Q8—791no—
1172C22×Q8C22×D7911yescharacteristic
1173C22×D4—21no—
1174C22×D4—21no—
1175C22×D4—21no—
1176C22×D4—21no—
1177C22×D4—21no—
1178C22×D4—21no—
1179C22×D4—21no—
1180C22×D4C22×D7911yescharacteristic
1181C22×D4C22×D7911yescharacteristic
1182C22×D4C22×D7911yescharacteristic
1183C22×D4C22×D7911yescharacteristic
1184C23×C4—21no—
1185C23×C4C22×D7911yescharacteristic
1186#137—3162no—
1187#137—3162no—
1188#137—3162no—
1189#137—3162no—
1190AGL(1,ℤ/8)—3162no—
1191AGL(1,ℤ/8)—3162no—
1192#135—3162no—
1193C2×Q16—791no—
1194C2×Q16—791no—
1195C2×Q16—791no—
1196C2×Q16—791no—
1197C2×Q16—791no—
1198C2×Q16—791no—
1199C2×SD16—3162no—
1200C2×SD16—791no—
1201C2×SD16—791no—
1202C2×SD16—791no—
1203C2×SD16—791no—
1204C2×SD16—791no—
1205C2×SD16—791no—
1206C2×SD16—791no—
1207C2×SD16—791no—
1208C2×SD16—791no—
1209C2×SD16—791no—
1210C2×SD16—791no—
1211C2×SD16—791no—
1212C2×SD16—791no—
1213C2×SD16—791no—
1214C2×D8—791no—
1215C2×D8—791no—
1216C2×D8—791no—
1217C2×D8—791no—
1218C2×M16—791no—
1219C2×M16—791no—
1220C2×M16—791no—
1221C2×M16—791no—
1222C2×M16—791no—
1223C2×M16—791no—
1224C22×C8—791no—
1225C22×C8—791no—
1226C4⋊Q8—791no—
1227C4⋊Q8—791no—
1228C4⋊Q8—1581no—
1229C4⋊Q8—1581no—
1230#127—21no—
1231#127—21no—
1232#127C22×D7911yescharacteristic
1233#127C22×D7911yescharacteristic
1234#126—1581no—
1235#126—1581no—
1236#126—1581no—
1237#126—1581no—
1238#126—1581no—
1239#126—1581no—
1240#126—1581no—
1241#125—791no—
1242#125—1581no—
1243#125—1581no—
1244#125—1581no—
1245#125—1581no—
1246#124—21no—
1247#124—21no—
1248#124—791no—
1249#124—1581no—
1250#124—1581no—
1251#124—1581no—
1252#124—1581no—
1253#124—1581no—
1254#124C22×D7911yescharacteristic
1255#124C22×D7911yescharacteristic
1256#123—21no—
1257#123—21no—
1258#123—1581no—
1259#123—1581no—
1260#123—1581no—
1261#123—1581no—
1262#123—1581no—
1263#123—1581no—
1264#123—1581no—
1265#123—1581no—
1266#123C22⋊D7911yescharacteristic
1267#123C22⋊D7911yescharacteristic
1268C22⋊Q8—21no—
1269C22⋊Q8—21no—
1270C22⋊Q8—21no—
1271C22⋊Q8—791no—
1272C22⋊Q8—791no—
1273C22⋊Q8—791no—
1274C22⋊Q8—791no—
1275C22⋊Q8—791no—
1276C22⋊Q8—791no—
1277C22⋊Q8—791no—
1278C22⋊Q8—791no—
1279C22⋊Q8—791no—
1280C22⋊Q8—1581no—
1281C22⋊Q8—1581no—
1282C22⋊Q8—1581no—
1283C22⋊Q8—1581no—
1284C22⋊Q8—1581no—
1285C22⋊Q8—1581no—
1286C22⋊Q8—1581no—
1287C22⋊Q8—1581no—
1288C22⋊Q8—1581no—
1289C22⋊Q8—1581no—
1290C22⋊Q8C22⋊D7911yescharacteristic
1291C22⋊Q8C22⋊D7911yescharacteristic
1292C22⋊Q8C22×D7911yescharacteristic
1293C22⋊Q8C22×D7911yescharacteristic
1294#121—21no—
1295#121—21no—
1296#121—21no—
1297#121—21no—
1298#121—21no—
1299#121—21no—
1300#121—21no—
1301#121—21no—
1302#121—21no—
1303#121—21no—
1304#121—21no—
1305#121—21no—
1306#121—21no—
1307#121—21no—
1308#121—21no—
1309#121—21no—
1310#121—21no—
1311#121—791no—
1312#121—791no—
1313#121—791no—
1314#121—1581no—
1315#121—1581no—
1316#121—1581no—
1317#121—1581no—
1318#121—1581no—
1319#121—1581no—
1320#121—1581no—
1321#121C22⋊D7911yescharacteristic
1322#121C22⋊D7911yescharacteristic
1323#121C22×D7911yescharacteristic
1324#121C22×D7911yescharacteristic
1325#121C22×D7911yescharacteristic
1326#121C22×D7911yescharacteristic
1327#121C22×D7911yescharacteristic
1328#121C22×D7911yescharacteristic
1329#120—21no—
1330#120—21no—
1331#120—21no—
1332#120—21no—
1333#120—21no—
1334#120—21no—
1335#120—21no—
1336#120—21no—
1337#120—1581no—
1338#120C22⋊D7911yescharacteristic
1339#120C22⋊D7911yescharacteristic
1340C4×Q8—791no—
1341C4×Q8—791no—
1342C4×Q8—791no—
1343C4×Q8—1581no—
1344C4×Q8C22×D7911yescharacteristic
1345C4×Q8C22×D7911yescharacteristic
1346C4×D4—21no—
1347C4×D4—21no—
1348C4×D4—21no—
1349C4×D4—21no—
1350C4×D4—21no—
1351C4×D4—21no—
1352C4×D4—791no—
1353C4×D4—1581no—
1354C4×D4—1581no—
1355C4×D4—1581no—
1356C4×D4—1581no—
1357C4×D4—1581no—
1358C4×D4—1581no—
1359C4×D4—1581no—
1360C4×D4C22×D7911yescharacteristic
1361C4×D4C22×D7911yescharacteristic
1362C4×D4C22×D7911yescharacteristic
1363C4×D4C22×D7911yescharacteristic
1364C4×D4C22×D7911yescharacteristic
1365C4×D4C22×D7911yescharacteristic
1366#117—21no—
1367#117—791no—
1368#117—791no—
1369#117—1581no—
1370#117C22×D7911yescharacteristic
1371C2×C4⋊C4—21no—
1372C2×C4⋊C4—791no—
1373C2×C4⋊C4—791no—
1374C2×C4⋊C4—1581no—
1375C2×C4⋊C4—1581no—
1376C2×C4⋊C4C22×D7911yescharacteristic
1377C2×C22⋊C4—21no—
1378C2×C22⋊C4—21no—
1379C2×C22⋊C4—21no—
1380C2×C22⋊C4—1581no—
1381#107—791no—
1382#107—791no—
1383#107—791no—
1384#107—791no—
1385#107—791no—
1386#107—791no—
1387#106—791no—
1388#106—791no—
1389C4⋊C8—791no—
1390C4⋊C8—791no—
1391C4⋊C8—791no—
1392C4⋊C8—791no—
1393#103—791no—
1394#103—791no—
1395#103—791no—
1396#103—791no—
1397#103—791no—
1398#103—791no—
1399#103—791no—
1400#103—791no—
1401#103—791no—
1402#103—791no—
1403#103—791no—
1404#103—791no—
1405#103—791no—
1406#103—791no—
1407#102—791no—
1408#102—791no—
1409#102—791no—
1410#102—791no—
1411#102—791no—
1412#102—791no—
1413#102—791no—
1414#102—791no—
1415#102—791no—
1416#102—791no—
1417#102—791no—
1418#102—791no—
1419#102—791no—
1420#102—791no—
1421#102—791no—
1422#102—791no—
1423#102—791no—
1424#102—791no—
1425C22⋊C8—791no—
1426C22⋊C8—791no—
1427C22⋊C8—791no—
1428C22⋊C8—791no—
1429C22⋊C8—791no—
1430C22⋊C8—791no—
1431C22⋊C8—791no—
1432C22⋊C8—791no—
1433C22⋊C8—791no—
1434C22⋊C8—791no—
1435C22⋊C8—791no—
1436C22⋊C8—791no—
1437#97—791no—
1438#97—791no—
1439C4×C8—791no—
1440C4×C8—791no—
1441C24—21no—
1442C24—21no—
1443C24—21no—
1444C24—21no—
1445C24C2×C22⋊D7911yescharacteristic
1446#41—22no—
1447#41—22no—
1448#41—22no—
1449#41—22no—
1450#41—22no—
1451#41—22no—
1452#41—41no—
1453#41—41no—
1454#41—41no—
1455#41—41no—
1456#41—41no—
1457#41—41no—
1458#41—41no—
1459#41—41no—
1460#41—44no—
1461#41—44no—
1462#41—44no—
1463#41—3161no—
1464#41—3161no—
1465#41—3161no—
1466#41—3161no—
1467C2×Q8—21no—
1468C2×Q8—22no—
1469C2×Q8—41no—
1470C2×Q8—3161no—
1471C2×Q8—3161no—
1472C2×Q8—3161no—
1473C2×Q8—3161no—
1474C2×Q8—791no—
1475C2×Q8—791no—
1476C2×Q8—791no—
1477C2×Q8—1581no—
1478C2×Q8—1581no—
1479C2×Q8—1581no—
1480C2×Q8C2×C22⋊D7911yescharacteristic
1481C2×Q8C23×D7911yescharacteristic
1482C2×Q8C23×D7911yescharacteristic
1483C2×D4—21no—
1484C2×D4—22no—
1485C2×D4—22no—
1486C2×D4—22no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—41no—
1507C2×D4—41no—
1508C2×D4—41no—
1509C2×D4—41no—
1510C2×D4—41no—
1511C2×D4—44no—
1512C2×D4—44no—
1513C2×D4—44no—
1514C2×D4—44no—
1515C2×D4—82no—
1516C2×D4—82no—
1517C2×D4—82no—
1518C2×D4—791no—
1519C2×D4—1581no—
1520C2×D4—1581no—
1521C2×D4—1581no—
1522C2×D4—1581no—
1523C2×D4—1581no—
1524C2×D4C2×C22⋊D7911yescharacteristic
1525C2×D4C2×C22⋊D7911yescharacteristic
1526C2×D4C2×C22⋊D7911yescharacteristic
1527C2×D4C2×C22⋊D7911yescharacteristic
1528C2×D4C2×C22⋊D7911yescharacteristic
1529C2×D4C2×C22⋊D7911yescharacteristic
1530C2×D4C2×C22⋊D7911yescharacteristic
1531C2×D4C23×D7911yescharacteristic
1532C2×D4C23×D7911yescharacteristic
1533C2×D4C23×D7911yescharacteristic
1534C2×D4C23×D7911yescharacteristic
1535C22×C4—21no—
1536C22×C4—21no—
1537C22×C4—21no—
1538C22×C4—21no—
1539C22×C4—21no—
1540C22×C4—21no—
1541C22×C4—21no—
1542C22×C4—21no—
1543C22×C4—21no—
1544C22×C4—21no—
1545C22×C4—41no—
1546C22×C4—41no—
1547C22×C4—44no—
1548C22×C4—1581no—
1549C22×C4—1581no—
1550C22×C4—1581no—
1551C22×C4—1581no—
1552C22×C4—1581no—
1553C22×C4—1581no—
1554C22×C4—1581no—
1555C22×C4C2×C22⋊D7911yescharacteristic
1556C22×C4C2×C22⋊D7911yescharacteristic
1557C22×C4C2×C22⋊D7911yescharacteristic
1558C22×C4C23×D7911yescharacteristic
1559C22×C4C23×D7911yescharacteristic
1560C22×C4C23×D7911yescharacteristic
1561C22×C4C23×D7911yescharacteristic
1562C22×C4C23×D7911yescharacteristic
1563Q16—3161no—
1564Q16—3161no—
1565Q16—3161no—
1566Q16—1582no—
1567Q16—1582no—
1568Q16—1582no—
1569SD16—3161no—
1570SD16—3161no—
1571SD16—3161no—
1572SD16—3161no—
1573SD16—3161no—
1574SD16—3161no—
1575SD16—3161no—
1576SD16—3161no—
1577SD16—3161no—
1578SD16—3161no—
1579SD16—1582no—
1580SD16—1582no—
1581SD16—1582no—
1582SD16—1582no—
1583D8—3161no—
1584D8—3161no—
1585D8—3161no—
1586D8—1582no—
1587M16—3161no—
1588M16—3161no—
1589M16—3161no—
1590M16—3161no—
1591M16—3161no—
1592M16—3161no—
1593C2×C8—3161no—
1594C2×C8—3161no—
1595C2×C8—791no—
1596C2×C8—791no—
1597C2×C8—791no—
1598C2×C8—791no—
1599C2×C8—791no—
1600C2×C8—791no—
1601C2×C8—791no—
1602C2×C8—791no—
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—791no—
1609C4⋊C4—791no—
1610C4⋊C4—791no—
1611C4⋊C4—791no—
1612C4⋊C4—1581no—
1613C4⋊C4—1581no—
1614C4⋊C4—1581no—
1615C4⋊C4—1581no—
1616C4⋊C4—1581no—
1617C4⋊C4—1581no—
1618C4⋊C4—1581no—
1619C4⋊C4—1581no—
1620C4⋊C4—1581no—
1621C4⋊C4—1581no—
1622C4⋊C4—1581no—
1623C4⋊C4—1581no—
1624C4⋊C4—1581no—
1625C4⋊C4—1581no—
1626C4⋊C4—1581no—
1627C4⋊C4—1581no—
1628C4⋊C4—1581no—
1629C4⋊C4—1581no—
1630C4⋊C4—1581no—
1631C4⋊C4C2×C22⋊D7911yescharacteristic
1632C4⋊C4C2×C22⋊D7911yescharacteristic
1633C4⋊C4C2×C22⋊D7911yescharacteristic
1634C4⋊C4C2×C22⋊D7911yescharacteristic
1635C4⋊C4C2×C22⋊D7911yescharacteristic
1636C4⋊C4C2×C22⋊D7911yescharacteristic
1637C4⋊C4C23×D7911yescharacteristic
1638C4⋊C4C23×D7911yescharacteristic
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—1581no—
1654C22⋊C4—1581no—
1655C22⋊C4—1581no—
1656C22⋊C4—1581no—
1657C22⋊C4—1581no—
1658C22⋊C4—1581no—
1659C22⋊C4—1581no—
1660C22⋊C4—1581no—
1661C22⋊C4—1581no—
1662C22⋊C4—1581no—
1663C22⋊C4—1581no—
1664C22⋊C4—1581no—
1665C22⋊C4—1581no—
1666C22⋊C4—1581no—
1667C22⋊C4—1581no—
1668C22⋊C4—1581no—
1669C22⋊C4—1581no—
1670C22⋊C4C2×C22⋊D7911yescharacteristic
1671C22⋊C4C2×C22⋊D7911yescharacteristic
1672C22⋊C4C2×C22⋊D7911yescharacteristic
1673C22⋊C4C2×C22⋊D7911yescharacteristic
1674C22⋊C4C2×C22⋊D7911yescharacteristic
1675C22⋊C4C2×C22⋊D7911yescharacteristic
1676C22⋊C4C2×C22⋊D7911yescharacteristic
1677C22⋊C4C2×C22⋊D7911yescharacteristic
1678C22⋊C4C2×C22⋊D7911yescharacteristic
1679C22⋊C4C2×C22⋊D7911yescharacteristic
1680C42—21no—
1681C42—21no—
1682C42—1581no—
1683C42—1581no—
1684C42—1581no—
1685C42—1581no—
1686C42—1581no—
1687C42C23×D7911yescharacteristic
1688C42C23×D7911yescharacteristic
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—41no—
1694C23—41no—
1695C23—41no—
1696C23—42no—
1697C23—42no—
1698C23—42no—
1699C23—42no—
1700C23—42no—
1701C23—81no—
1702C23—81no—
1703C23—81no—
1704C23—81no—
1705C23—81no—
1706C23—81no—
1707C23—81no—
1708C23—1581no—
1709C23C22×C22⋊D7911yescharacteristic
1710C23C22×C22⋊D7911yescharacteristic
1711C23C22×C22⋊D7911yescharacteristic
1712C23C22×C22⋊D7911yescharacteristic
1713C23C22×C22⋊D7911yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—41no—
1718Q8—42no—
1719Q8—6321no—
1720Q8—6321no—
1721Q8—6321no—
1722Q8—1581no—
1723Q8—1581no—
1724Q8—1581no—
1725Q8—1581no—
1726Q8—1581no—
1727Q8—1581no—
1728Q8#1457920612yes—
1729D4—24no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—21no—
1734D4—21no—
1735D4—21no—
1736D4—21no—
1737D4—41no—
1738D4—41no—
1739D4—41no—
1740D4—41no—
1741D4—41no—
1742D4—41no—
1743D4—41no—
1744D4—42no—
1745D4—42no—
1746D4—42no—
1747D4—42no—
1748D4—42no—
1749D4—42no—
1750D4—42no—
1751D4—42no—
1752D4—42no—
1753D4—42no—
1754D4—42no—
1755D4—81no—
1756D4—81no—
1757D4—81no—
1758D4—81no—
1759D4—81no—
1760D4—81no—
1761D4—81no—
1762D4—81no—
1763D4—3162no—
1764D4—6321no—
1765D4—6321no—
1766D4—6321no—
1767D4—6321no—
1768D4—1581no—
1769D4—1581no—
1770D4#1457920612yes—
1771C2×C4—24no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—41no—
1787C2×C4—41no—
1788C2×C4—41no—
1789C2×C4—42no—
1790C2×C4—42no—
1791C2×C4—42no—
1792C2×C4—42no—
1793C2×C4—42no—
1794C2×C4—42no—
1795C2×C4—81no—
1796C2×C4—81no—
1797C2×C4—81no—
1798C2×C4—6321no—
1799C2×C4—6321no—
1800C2×C4—6321no—
1801C2×C4—6321no—
1802C2×C4—6321no—
1803C2×C4—6321no—
1804C2×C4—6321no—
1805C2×C4—1581no—
1806C2×C4—1581no—
1807C2×C4—1581no—
1808C2×C4—1581no—
1809C2×C4—1581no—
1810C2×C4—1581no—
1811C2×C4—1581no—
1812C2×C4C22×C22⋊D7911yescharacteristic
1813C2×C4C22×C22⋊D7911yescharacteristic
1814C2×C4C22×C22⋊D7911yescharacteristic
1815C2×C4C22×C22⋊D7911yescharacteristic
1816C2×C4C22×C22⋊D7911yescharacteristic
1817C2×C4C22×C22⋊D7911yescharacteristic
1818C2×C4C22×C22⋊D7911yescharacteristic
1819C2×C4C22×C22⋊D7911yescharacteristic
1820C2×C4C22×C22⋊D7911yescharacteristic
1821C2×C4C24×D7911yescharacteristic
1822C8—1581no—
1823C8—1581no—
1824C8—1581no—
1825C8—1581no—
1826C8—1581no—
1827C8—1581no—
1828C8—1581no—
1829C8—1581no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—22no—
1834C22—21no—
1835C22—21no—
1836C22—21no—
1837C22—21no—
1838C22—21no—
1839C22—21no—
1840C22—21no—
1841C22—21no—
1842C22—21no—
1843C22—21no—
1844C22—21no—
1845C22—21no—
1846C22—41no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—82no—
1858C22—84no—
1859C22—162no—
1860C22—162no—
1861C22—162no—
1862C22—3161no—
1863C22—3161no—
1864C22—3161no—
1865C22C23×C22⋊D7911yescharacteristic
1866C4—21no—
1867C4—22no—
1868C4—21no—
1869C4—21no—
1870C4—21no—
1871C4—21no—
1872C4—21no—
1873C4—21no—
1874C4—21no—
1875C4—21no—
1876C4—41no—
1877C4—41no—
1878C4—41no—
1879C4—3161no—
1880C4—3161no—
1881C4—3161no—
1882C4—3161no—
1883C4—3161no—
1884C4—3161no—
1885C4—3161no—
1886C4C2×#1457920611yescharacteristic
1887C4C2×#1457920611yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—41no—
1891C2—41no—
1892C2—41no—
1893C2—42no—
1894C2—81no—
1895C2—81no—
1896C2—81no—
1897C2—6321no—
1898C2#2377703511yescharacteristic
1899C2#2377818011yescharacteristic
1900C2#2377818611yescharacteristic
subgroupG/H
centerC22C23×C22⋊D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3488C2
socleC22×C79C23×D4
hypercenter#3488D79
hypocenterC79#61654
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ #525 ◁ #3488

Complements

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

NH ≅ G/Ntype
1. #23777693C2semidirect
2. #23775738C2semidirect
3. #23775668C2semidirect
4. #23775631C2semidirect
5. #23775601C2semidirect
6. #23775481C2semidirect
7. #23775466C2semidirect
8. #23775421C2semidirect
9. #23775406C2semidirect
10. #23775066C2semidirect
11. #23775053C2semidirect
12. #23775027C2semidirect
13. #23774996C2semidirect
14. #23774981C2semidirect
15. #23774956C2semidirect
16. #23774906C2semidirect
17. #23774891C2semidirect
18. #23774494C2semidirect
19. #23774472C2semidirect
20. #23774297C2semidirect
21. #23774276C2semidirect
22. #23774214C2semidirect
23. #23774206C2semidirect
24. #23773662C2semidirect
25. #23773614C2semidirect
26. #23772704C2semidirect
27. #23772677C2semidirect
28. #23772660C2semidirect
29. #23772642C2semidirect
30. #23772462C2semidirect
31. C79×#3488C2semidirect
32. C2×#14579192C22semidirect
33. C2×#14579191C22semidirect
34. C2×#14579191C22semidirect
35. C2×#14579191C22semidirect
36. C2×#14579187C22semidirect
37. C2×#14579187C22semidirect
38. C2×#14579181C22semidirect
39. C22×#11929612C22semidirect
42. #19099283C22semidirect
43. #19099270C22semidirect
45. #19099259C22semidirect
47. #19099253C22semidirect
48. D4×Dic158C22semidirect
49. #19099222C22semidirect
50. #19099222C22semidirect
51. #19099218C22semidirect
52. #19099184C22semidirect
54. #19099175C22semidirect
58. #19099141C22semidirect
59. #19099134C22semidirect
60. #19099074C22semidirect
61. C2×#14579140C22semidirect
62. #19098958C22semidirect
63. #19098950C22semidirect
64. #19098945C22semidirect
65. #19098935C22semidirect
66. #19098927C22semidirect
67. #19098922C22semidirect
68. #19098917C22semidirect
69. #19098909C22semidirect
70. #19098901C22semidirect
71. #19098898C22semidirect
72. #19098898C22semidirect
73. #19098896C22semidirect
74. #19098893C22semidirect
75. #19098884C22semidirect
76. #19098884C22semidirect
77. #19098884C22semidirect
78. #19098876C22semidirect
79. #19098874C22semidirect
80. #19098874C22semidirect
81. #19098874C22semidirect
82. #19098870C22semidirect
83. #19098863C22semidirect
84. #19098858C22semidirect
85. #19098843C22semidirect
86. #19098819C22semidirect
87. #19098814C22semidirect
88. #19098814C22semidirect
89. #19098811C22semidirect
90. #19098807C22semidirect
91. #19098807C22semidirect
92. #19098807C22semidirect
93. #19098807C22semidirect
94. #19098807C22semidirect
95. #19098807C22semidirect
96. #19098807C22semidirect
97. #19098807C22semidirect
98. #19098802C22semidirect
99. #19098802C22semidirect
100. #19098797C22semidirect
101. #19098790C22semidirect
102. #19098785C22semidirect
103. #19098782C22semidirect
104. #19098782C22semidirect
105. #19098782C22semidirect
106. #19098778C22semidirect
107. #19098775C22semidirect
108. #19098773C22semidirect
109. #19098768C22semidirect
110. #19098760C22semidirect
111. #19098760C22semidirect
112. #19098760C22semidirect
113. #19098755C22semidirect
117. #19098725C22semidirect
118. #19098725C22semidirect
119. #19098725C22semidirect
120. #19098725C22semidirect
121. #19098725C22semidirect
122. #19098725C22semidirect
123. #19098725C22semidirect
124. #19098725C22semidirect
125. #19098723C22semidirect
126. #19098719C22semidirect
127. #19098719C22semidirect
128. #19098718C22semidirect
129. #19098714C22semidirect
130. #19098714C22semidirect
131. #19098714C22semidirect
132. #19098714C22semidirect
133. #19098714C22semidirect
134. #19098714C22semidirect
135. #19098714C22semidirect
136. #19098714C22semidirect
138. #19098708C22semidirect
139. #19098708C22semidirect
140. #19098708C22semidirect
141. #19098708C22semidirect
142. #19098706C22semidirect
143. #19098706C22semidirect
144. #19098706C22semidirect
145. #19098701C22semidirect
146. #19098701C22semidirect
147. #19098701C22semidirect
148. #19098697C22semidirect
149. #19098697C22semidirect
150. #19098668C22semidirect
151. #19098663C22semidirect
152. #19098663C22semidirect
153. #19098661C22semidirect
154. C4×#11929614C22semidirect
155. C4×#11929614C22semidirect
156. C4×#11929612C22semidirect
157. C4×#11929609C22semidirect
158. #19098641C22semidirect
159. #19098641C22semidirect
160. #19098641C22semidirect
161. #19098641C22semidirect
162. #19098635C22semidirect
163. #19098635C22semidirect
164. #19098635C22semidirect
165. #19098635C22semidirect
166. #19098624C22semidirect
167. #19098624C22semidirect
168. #19098572C22semidirect
169. #19098568C22semidirect
170. #19098568C22semidirect
171. #19098564C22semidirect
172. #19098564C22semidirect
173. #19098564C22semidirect
174. #19098559C22semidirect
175. C2×#14579082C22semidirect
176. #19098530C22semidirect
177. #19098530C22semidirect
178. #19098527C22semidirect
179. #19098527C22semidirect
952. #3488D79semidirect
982. C79#61654semidirect

Maximal subgroups

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

subgroupindex
#237776932
#237757382
#237756682
#237756312
#237756012
#237754812
#237754662
#237754212
#237754062
#237750662
#237750532
#237750272
#237749962
#237749812
#237749562
#237749062
#237748912
#237744942
#237744722
#237742972
#237742762
#237742142
#237742062
#237736622
#237736142
#237727042
#237726772
#237726602
#237726422
#237724622
C79×#34882
#6165479