Finite Group Databasebeta

← #35173911

Subgroups — #35173911

Order 20224.

2022 conjugacy classes of subgroups.

The subgroup lattice has 1832 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777693C211yesmaximal, characteristic, complemented
2#23775683C211yesmaximal, characteristic, complemented
3#23775668C211yesmaximal, characteristic, complemented
4#23775571C211yesmaximal, characteristic, complemented
5#23775511C211yesmaximal, characteristic, complemented
6#23775466C211yesmaximal, characteristic, complemented
7#23775451C211yesmaximal, characteristic, complemented
8#23775302C211yesmaximal, characteristic, complemented
9#23775276C211yesmaximal, characteristic, complemented
10D4×#11929614C211yesmaximal, characteristic, complemented
11#23775137C211yesmaximal, characteristic, complemented
12#23775053C211yesmaximal, characteristic, complemented
13#23775046C211yesmaximal, characteristic, complemented
14#23774971C211yesmaximal, characteristic, complemented
15#23774971C211yesmaximal, characteristic, complemented
16#23774966C211yesmaximal, characteristic, complemented
17#23774956C211yesmaximal, characteristic, complemented
18#23774509C211yesmaximal, characteristic, complemented
19#23774483C211yesmaximal, characteristic, complemented
20#23774291C211yesmaximal, characteristic, complemented
21#23774282C211yesmaximal, characteristic, complemented
22#23774226C211yesmaximal, characteristic, complemented
23#23774188C211yesmaximal, characteristic, complemented
24#23773700C211yesmaximal, characteristic, complemented
25#23773629C211yesmaximal, characteristic, complemented
26#23772715C211yesmaximal, characteristic, complemented
27#23772695C211yesmaximal, characteristic, complemented
28#23772634C211yesmaximal, characteristic, complemented
29C2×#19098719C211yesmaximal, characteristic, complemented
30#23772448C211yesmaximal, characteristic, complemented
31C79×#3486C211yesmaximal, characteristic, complemented
32C2×#14579192C2211yescharacteristic
33C2×#14579192C2211yescharacteristic
34C2×#14579192C2211yescharacteristic, complemented
35C2×#14579191C2211yescharacteristic, complemented
36C2×#14579181C2211yescharacteristic, complemented
37C22×#11929614C2211yescharacteristic
38C22×#11929614C2211yescharacteristic
39C22×#11929614C2211yescharacteristic, complemented
40#19099314—21no—
41#19099308—21no—
42#19099283C2211yescharacteristic
43#19099270C2211yescharacteristic
44#19099267—21no—
45#19099259C2211yescharacteristic
46#19099256—21no—
47#19099253C2211yescharacteristic
48D4×Dic158C2211yescharacteristic
49#19099222C2211yescharacteristic
50#19099222C2211yescharacteristic
51#19099218C2211yescharacteristic
52#19099184C2211yescharacteristic
53#19099181—21no—
54#19099175C2211yescharacteristic
55#19099156—21no—
56#19099148—21no—
57#19099148—21no—
58#19099141C2211yescharacteristic
59#19099134C2211yescharacteristic
60#19099074C2211yescharacteristic
61C2×#14579140C2211yescharacteristic
62#19098958C2211yescharacteristic, complemented
63#19098955C2211yescharacteristic, complemented
64#19098945C2211yescharacteristic, complemented
65#19098942C2211yescharacteristic, complemented
66#19098931C2211yescharacteristic, complemented
67#19098922C2211yescharacteristic, complemented
68#19098917C2211yescharacteristic, complemented
69#19098913C2211yescharacteristic, complemented
70#19098904C2211yescharacteristic
71#19098904C2211yescharacteristic
72#19098904C2211yescharacteristic
73#19098901C2211yescharacteristic
74#19098901C2211yescharacteristic, complemented
75#19098901C2211yescharacteristic, complemented
76#19098896C2211yescharacteristic
77#19098896C2211yescharacteristic, complemented
78#19098891C2211yescharacteristic, complemented
79#19098887C2211yescharacteristic
80#19098884C2211yescharacteristic
81#19098879C2211yescharacteristic
82#19098870C2211yescharacteristic, complemented
83#19098870C2211yescharacteristic, complemented
84#19098858C2211yescharacteristic, complemented
85#19098848C2211yescharacteristic, complemented
86#19098819C2211yescharacteristic
87#19098819C2211yescharacteristic
88#19098819C2211yescharacteristic, complemented
89#19098819C2211yescharacteristic, complemented
90#19098819C2211yescharacteristic, complemented
91#19098811C2211yescharacteristic, complemented
92#19098807C2211yescharacteristic
93#19098807C2211yescharacteristic
94#19098802C2211yescharacteristic
95#19098802C2211yescharacteristic, complemented
96#19098802C2211yescharacteristic, complemented
97#19098802C2211yescharacteristic, complemented
98#19098797C2211yescharacteristic
99#19098794C2211yescharacteristic
100#19098794C2211yescharacteristic, complemented
101#19098790C2211yescharacteristic
102#19098785C2211yescharacteristic, complemented
103#19098785C2211yescharacteristic, complemented
104#19098782C2211yescharacteristic, complemented
105#19098782C2211yescharacteristic, complemented
106#19098782C2211yescharacteristic, complemented
107#19098775C2211yescharacteristic, complemented
108#19098773C2211yescharacteristic, complemented
109#19098773C2211yescharacteristic, complemented
110#19098770C2211yescharacteristic, complemented
111#19098770C2211yescharacteristic, complemented
112#19098770C2211yescharacteristic, complemented
113#19098765C2211yescharacteristic, complemented
114#19098725C2211yescharacteristic
115#19098725C2211yescharacteristic
116#19098725C2211yescharacteristic
117#19098725C2211yescharacteristic, complemented
118#19098725C2211yescharacteristic, complemented
119#19098725C2211yescharacteristic, complemented
120#19098723C2211yescharacteristic
121#19098723C2211yescharacteristic, complemented
122#19098723C2211yescharacteristic, complemented
123#19098719C2211yescharacteristic
124#19098719C2211yescharacteristic
125#19098719C2211yescharacteristic
126#19098719C2211yescharacteristic
127#19098719C2211yescharacteristic
128#19098719C2211yescharacteristic
129#19098719C2211yescharacteristic
130#19098719C2211yescharacteristic
131#19098719C2211yescharacteristic
132#19098719C2211yescharacteristic
133#19098719C2211yescharacteristic
134#19098719C2211yescharacteristic
135#19098719C2211yescharacteristic, complemented
136#19098719C2211yescharacteristic, complemented
137#19098719C2211yescharacteristic, complemented
138#19098718C2211yescharacteristic
139#19098718C2211yescharacteristic, complemented
140#19098718C2211yescharacteristic, complemented
141#19098708C2211yescharacteristic
142#19098708C2211yescharacteristic, complemented
143#19098706C2211yescharacteristic
144#19098702C2211yescharacteristic
145#19098702C2211yescharacteristic
146#19098702C2211yescharacteristic
147#19098702C2211yescharacteristic
148#19098702C2211yescharacteristic, complemented
149#19098701C2211yescharacteristic
150#19098668C2211yescharacteristic, complemented
151#19098668C2211yescharacteristic, complemented
152#19098668C2211yescharacteristic, complemented
153#19098661C2211yescharacteristic, complemented
154C4×#11929614C2211yescharacteristic, complemented
155C4×#11929614C2211yescharacteristic, complemented
156C4×#11929614C2211yescharacteristic, complemented
157C4×#11929611C2211yescharacteristic, complemented
158#19098641C2211yescharacteristic
159#19098641C2211yescharacteristic
160#19098635C2211yescharacteristic
161#19098635C2211yescharacteristic
162#19098635C2211yescharacteristic
163#19098635C2211yescharacteristic
164D4×C79⋊C8C2211yescharacteristic
165D4×C79⋊C8C2211yescharacteristic
166#19098624C2211yescharacteristic
167#19098624C2211yescharacteristic
168#19098572C2211yescharacteristic
169#19098572C2211yescharacteristic
170#19098572C2211yescharacteristic, complemented
171#19098564C2211yescharacteristic, complemented
172#19098559C2211yescharacteristic, complemented
173C2×#14579085C2211yescharacteristic
174C2×#14579085C2211yescharacteristic
175C2×#14579085C2211yescharacteristic, complemented
176#19098530C2211yescharacteristic
177#19098530C2211yescharacteristic
178#19098527C2211yescharacteristic
179C2×C22⋊(C79⋊C8)C2211yescharacteristic
180C2×2−1+4×C79C2211yescharacteristic
181C23×Q8×C79C2211yescharacteristic
182D4×Q8×C79—21no—
183D4×Q8×C79—21no—
184D4×Q8×C79C2211yescharacteristic
185D4×Q8×C79C2211yescharacteristic
186D4×Q8×C79C2211yescharacteristic
187D4×Q8×C79C2211yescharacteristic
188#548×C79—21no—
189#548×C79—21no—
190#548×C79C2211yescharacteristic
191#548×C79C2211yescharacteristic
192#548×C79C2211yescharacteristic
193#548×C79C2211yescharacteristic
194#536×C79—21no—
195#536×C79—21no—
196#536×C79C2211yescharacteristic
197#536×C79C2211yescharacteristic
198#525×C79—21no—
199#525×C79—21no—
200#525×C79C2211yescharacteristic
201#525×C79C2211yescharacteristic
202#519×C79C2211yescharacteristic
203C2×#11929624C2311yescharacteristic
204C2×#11929624C2311yescharacteristic
205C22×Dic158C2311yescharacteristic
206C22×Dic158C2311yescharacteristic
207#14579192—42no—
208#14579192—42no—
209#14579192—42no—
210#14579191—42no—
211#14579181—42no—
212C2×#11929614—42no—
213C2×#11929614—42no—
214C2×#11929614—42no—
215C2×#11929614C2311yescharacteristic
216C2×#11929614C2311yescharacteristic
217C2×#11929614C2311yescharacteristic
218C2×#11929614C2311yescharacteristic
219C2×#11929614C2311yescharacteristic
220C2×#11929614C2311yescharacteristic
221C2×#11929614C2311yescharacteristic
222C2×#11929614C2311yescharacteristic
223C2×#11929614C2311yescharacteristic
224C2×#11929614C2311yescharacteristic
225C2×#11929614C2311yescharacteristic
226C2×#11929614C2311yescharacteristic
227C2×#11929614C2311yescharacteristic
228C2×#11929614C2311yescharacteristic
229C2×#11929614C2311yescharacteristic
230C2×#11929612C2311yescharacteristic
231C2×#11929612C2311yescharacteristic
232C2×#11929612C2311yescharacteristic
233C2×#11929611C2311yescharacteristic
234C2×#11929611C2311yescharacteristic
235C2×#11929611C2311yescharacteristic
236C2×#11929611C2311yescharacteristic
237C2×#11929611C2311yescharacteristic
238C2×#11929609C2311yescharacteristic
239C2×#11929608C2311yescharacteristic
240C2×#11929608C2311yescharacteristic
241C2×#11929608C2311yescharacteristic
242C2×#11929608C2311yescharacteristic
243C22×C79⋊C8C2311yescharacteristic
244C22×C79⋊C8C2311yescharacteristic
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#14579092C2311yescharacteristic
332#14579092C2311yescharacteristic
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#14579085C2311yescharacteristic
348#14579085C2311yescharacteristic
349#14579085C2311yescharacteristic
350#14579085C2311yescharacteristic
351#14579085C2311yescharacteristic
352#14579085C2311yescharacteristic
353#14579085C2311yescharacteristic
354#14579085C2311yescharacteristic
355#14579085C2311yescharacteristic
356#14579085C2311yescharacteristic
357#14579085C2311yescharacteristic
358#14579085C2311yescharacteristic
359#14579084C2311yescharacteristic
360#14579084C2311yescharacteristic
361#14579084C2311yescharacteristic
362#14579084C2311yescharacteristic
363#14579084C2311yescharacteristic
364#14579084C2311yescharacteristic
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
3872−1+4×C79—42no—
3882−1+4×C79—42no—
389C2×#41×C79—21no—
390C2×#41×C79—21no—
391C2×#41×C79—21no—
392C2×#41×C79C2311yescharacteristic
393C2×#41×C79C2311yescharacteristic
394C2×#41×C79C2311yescharacteristic
395C2×#41×C79C2311yescharacteristic
396C22×Q8×C79—21no—
397C22×Q8×C79—21no—
398C22×Q8×C79—21no—
399C22×Q8×C79—21no—
400C22×Q8×C79—42no—
401C22×Q8×C79—42no—
402C22×Q8×C79C2311yescharacteristic
403C22×Q8×C79C2311yescharacteristic
404C22×Q8×C79C2311yescharacteristic
405C22×Q8×C79C2311yescharacteristic
406C22×Q8×C79C2311yescharacteristic
407C22×Q8×C79C2311yescharacteristic
408C22×Q8×C79C2311yescharacteristic
409C22×Q8×C79C2311yescharacteristic
410C23×C4×C79—21no—
411C23×C4×C79C2311yescharacteristic
412C4⋊Q8×C79—21no—
413C4⋊Q8×C79—21no—
414C4⋊Q8×C79—21no—
415C4⋊Q8×C79—21no—
416C4⋊Q8×C79—21no—
417C4⋊Q8×C79C2311yescharacteristic
418C4⋊Q8×C79C2311yescharacteristic
419#124×C79—21no—
420#124×C79—21no—
421#124×C79—21no—
422#124×C79—21no—
423#124×C79—21no—
424#124×C79C2311yescharacteristic
425#124×C79C2311yescharacteristic
426#123×C79—21no—
427#123×C79—21no—
428#123×C79—21no—
429#123×C79—21no—
430#123×C79—21no—
431#123×C79D411yescharacteristic
432#123×C79D411yescharacteristic
433C22⋊Q8×C79—21no—
434C22⋊Q8×C79—21no—
435C22⋊Q8×C79—21no—
436C22⋊Q8×C79—21no—
437C22⋊Q8×C79—21no—
438C22⋊Q8×C79—21no—
439C22⋊Q8×C79—21no—
440C22⋊Q8×C79—21no—
441C22⋊Q8×C79—21no—
442C22⋊Q8×C79—21no—
443C22⋊Q8×C79—21no—
444C22⋊Q8×C79—21no—
445C22⋊Q8×C79—21no—
446C22⋊Q8×C79—21no—
447C22⋊Q8×C79D411yescharacteristic
448C22⋊Q8×C79D411yescharacteristic
449C22⋊Q8×C79C2311yescharacteristic
450C22⋊Q8×C79C2311yescharacteristic
451C22⋊Q8×C79C2311yescharacteristic
452C22⋊Q8×C79C2311yescharacteristic
453C22⋊Q8×C79C2311yescharacteristic
454C22⋊Q8×C79C2311yescharacteristic
455#121×C79—21no—
456#121×C79—21no—
457#121×C79—21no—
458#121×C79—21no—
459#121×C79D411yescharacteristic
460#121×C79D411yescharacteristic
461#121×C79C2311yescharacteristic
462#121×C79C2311yescharacteristic
463#120×C79—21no—
464#120×C79D411yescharacteristic
465#120×C79D411yescharacteristic
466C4×Q8×C79—21no—
467C4×Q8×C79—21no—
468C4×Q8×C79C2311yescharacteristic
469C4×Q8×C79C2311yescharacteristic
470C4×Q8×C79C2311yescharacteristic
471C4×Q8×C79C2311yescharacteristic
472C4×D4×C79—21no—
473C4×D4×C79—21no—
474C4×D4×C79—21no—
475C4×D4×C79—21no—
476C4×D4×C79—21no—
477C4×D4×C79—21no—
478C4×D4×C79—21no—
479C4×D4×C79—21no—
480C4×D4×C79—21no—
481C4×D4×C79—21no—
482C4×D4×C79C2311yescharacteristic
483C4×D4×C79C2311yescharacteristic
484C4×D4×C79C2311yescharacteristic
485C4×D4×C79C2311yescharacteristic
486#117×C79—21no—
487#117×C79—21no—
488#117×C79C2311yescharacteristic
489#117×C79C2311yescharacteristic
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—22no—
521#11929614—22no—
522#11929614—22no—
523#11929614—41no—
524#11929614—41no—
525#11929614—41no—
526#11929614—41no—
527#11929614—41no—
528#11929614—41no—
529#11929614—41no—
530#11929614—41no—
531#11929614—41no—
532#11929612—41no—
533#11929612—41no—
534#11929612—41no—
535#11929611—22no—
536#11929611—22no—
537#11929611—41no—
538#11929611—41no—
539#11929611—41no—
540#11929609—41no—
541#11929608—41no—
542#11929608—41no—
543#11929608—41no—
544#11929608—41no—
545C2×C79⋊C8—41no—
546C2×C79⋊C8—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×C79C2×D411yescharacteristic
603#41×C79—22no—
604#41×C79—22no—
605#41×C79—41no—
606#41×C79—41no—
607#41×C79—41no—
608#41×C79—41no—
609#41×C79—41no—
610#41×C79—41no—
611#41×C79—44no—
612#41×C79—44no—
613#41×C79—44no—
614C2×Q8×C79—22no—
615C2×Q8×C79—22no—
616C2×Q8×C79—21no—
617C2×Q8×C79—21no—
618C2×Q8×C79—21no—
619C2×Q8×C79—21no—
620C2×Q8×C79—21no—
621C2×Q8×C79—21no—
622C2×Q8×C79—21no—
623C2×Q8×C79—21no—
624C2×Q8×C79—22no—
625C2×Q8×C79—22no—
626C2×Q8×C79—22no—
627C2×Q8×C79—22no—
628C2×Q8×C79—22no—
629C2×Q8×C79—22no—
630C2×Q8×C79—41no—
631C2×Q8×C79—41no—
632C2×Q8×C79—41no—
633C2×Q8×C79—41no—
634C2×Q8×C79—41no—
635C2×Q8×C79—41no—
636C2×Q8×C79—41no—
637C2×Q8×C79—41no—
638C2×Q8×C79—44no—
639C2×Q8×C79—44no—
640C2×Q8×C79—44no—
641C2×Q8×C79—44no—
642C2×Q8×C79C2×D411yescharacteristic
643C2×Q8×C79C2411yescharacteristic
644C2×Q8×C79C2411yescharacteristic
645C2×Q8×C79C2411yescharacteristic
646C2×Q8×C79C2411yescharacteristic
647C2×Q8×C79C2411yescharacteristic
648C2×D4×C79—21no—
649C2×D4×C79—21no—
650C2×D4×C79—21no—
651C2×D4×C79—21no—
652C2×D4×C79—21no—
653C2×D4×C79C2×D411yescharacteristic
654C2×D4×C79C2×D411yescharacteristic
655C2×D4×C79C2×D411yescharacteristic
656C2×D4×C79C2×D411yescharacteristic
657C2×D4×C79C2×D411yescharacteristic
658C2×D4×C79C2×D411yescharacteristic
659C2×D4×C79C2×D411yescharacteristic
660C2×D4×C79C2411yescharacteristic
661C22×C4×C79—21no—
662C22×C4×C79—21no—
663C22×C4×C79—21no—
664C22×C4×C79—21no—
665C22×C4×C79—21no—
666C22×C4×C79—21no—
667C22×C4×C79—21no—
668C22×C4×C79—21no—
669C22×C4×C79—21no—
670C22×C4×C79—21no—
671C22×C4×C79—21no—
672C22×C4×C79—41no—
673C22×C4×C79—41no—
674C22×C4×C79—44no—
675C22×C4×C79C2×D411yescharacteristic
676C22×C4×C79C2×D411yescharacteristic
677C22×C4×C79C2×D411yescharacteristic
678C22×C4×C79C2411yescharacteristic
679C22×C4×C79C2411yescharacteristic
680C22×C4×C79C2411yescharacteristic
681C22×C4×C79C2411yescharacteristic
682C22×C4×C79C2411yescharacteristic
683C4⋊C4×C79—21no—
684C4⋊C4×C79—21no—
685C4⋊C4×C79—21no—
686C4⋊C4×C79—21no—
687C4⋊C4×C79—21no—
688C4⋊C4×C79—21no—
689C4⋊C4×C79—21no—
690C4⋊C4×C79—21no—
691C4⋊C4×C79—21no—
692C4⋊C4×C79—21no—
693C4⋊C4×C79—21no—
694C4⋊C4×C79—21no—
695C4⋊C4×C79—21no—
696C4⋊C4×C79—21no—
697C4⋊C4×C79C2×D411yescharacteristic
698C4⋊C4×C79C2×D411yescharacteristic
699C4⋊C4×C79C2×D411yescharacteristic
700C4⋊C4×C79C2×D411yescharacteristic
701C4⋊C4×C79C2×D411yescharacteristic
702C4⋊C4×C79C2×D411yescharacteristic
703C4⋊C4×C79C2411yescharacteristic
704C4⋊C4×C79C2411yescharacteristic
705C22⋊C4×C79—21no—
706C22⋊C4×C79—21no—
707C22⋊C4×C79—21no—
708C22⋊C4×C79—21no—
709C22⋊C4×C79—21no—
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×C79C2×D411yescharacteristic
719C22⋊C4×C79C2×D411yescharacteristic
720C22⋊C4×C79C2×D411yescharacteristic
721C22⋊C4×C79C2×D411yescharacteristic
722C22⋊C4×C79C2×D411yescharacteristic
723C22⋊C4×C79C2×D411yescharacteristic
724C22⋊C4×C79C2×D411yescharacteristic
725C22⋊C4×C79C2×D411yescharacteristic
726C22⋊C4×C79C2×D411yescharacteristic
727C22⋊C4×C79C2×D411yescharacteristic
728C42×C79—21no—
729C42×C79—21no—
730C42×C79—21no—
731C42×C79—21no—
732C42×C79—21no—
733C42×C79C2411yescharacteristic
734C42×C79C2411yescharacteristic
735C23×C79—22no—
736C23×C79—21no—
737C23×C79—41no—
738C23×C79—41no—
739C23×C79C22×D411yescharacteristic
740C23×C79C22×D411yescharacteristic
741C23×C79C22×D411yescharacteristic
742C23×C79C22×D411yescharacteristic
743C23×C79C22×D411yescharacteristic
744C22×D79—21no—
745Q8×C79—24no—
746Q8×C79—21no—
747Q8×C79—21no—
748Q8×C79—21no—
749Q8×C79—21no—
750Q8×C79—21no—
751Q8×C79—21no—
752Q8×C79—21no—
753Q8×C79—21no—
754Q8×C79—41no—
755Q8×C79—42no—
756Q8×C79—42no—
757Q8×C79—42no—
758Q8×C79—42no—
759Q8×C79—42no—
760Q8×C79—42no—
761Q8×C79—42no—
762Q8×C79H(5,𝔽2)12yes—
763Q8×C79H(5,𝔽2)12yes—
764D4×C79—22no—
765D4×C79—22no—
766D4×C79—21no—
767D4×C79—21no—
768D4×C79—41no—
769D4×C79—41no—
770D4×C79—41no—
771D4×C79—41no—
772D4×C79—41no—
773D4×C79—42no—
774D4×C79—42no—
775D4×C79—42no—
776D4×C79—42no—
777D4×C79—42no—
778C2×C4×C79—24no—
779C2×C4×C79—21no—
780C2×C4×C79—21no—
781C2×C4×C79—21no—
782C2×C4×C79—21no—
783C2×C4×C79—21no—
784C2×C4×C79—21no—
785C2×C4×C79—21no—
786C2×C4×C79—21no—
787C2×C4×C79—21no—
788C2×C4×C79—21no—
789C2×C4×C79—21no—
790C2×C4×C79—21no—
791C2×C4×C79—21no—
792C2×C4×C79—21no—
793C2×C4×C79—21no—
794C2×C4×C79—21no—
795C2×C4×C79—21no—
796C2×C4×C79—41no—
797C2×C4×C79—41no—
798C2×C4×C79—41no—
799C2×C4×C79—42no—
800C2×C4×C79—42no—
801C2×C4×C79—42no—
802C2×C4×C79—42no—
803C2×C4×C79—42no—
804C2×C4×C79—42no—
805C2×C4×C79—42no—
806C2×C4×C79—42no—
807C2×C4×C79—42no—
808C2×C4×C79—42no—
809C2×C4×C79C22×D411yescharacteristic
810C2×C4×C79C22×D411yescharacteristic
811C2×C4×C79C22×D411yescharacteristic
812C2×C4×C79C22×D411yescharacteristic
813C2×C4×C79C22×D411yescharacteristic
814C2×C4×C79C22×D411yescharacteristic
815C2×C4×C79C22×D411yescharacteristic
816C2×C4×C79C22×D411yescharacteristic
817C2×C4×C79C22×D411yescharacteristic
818C2×C4×C79C2511yescharacteristic
819C22⋊D79—42no—
820C22⋊D79—81no—
821C22⋊D79—81no—
822C22⋊D79—81no—
823C22⋊D79—81no—
824C2×Dic79—21no—
825C2×Dic79—21no—
826C2×Dic79—21no—
827C2×Dic79—21no—
828C2×Dic79—21no—
829C2×Dic79—21no—
830C2×Dic79—21no—
831C2×Dic79—81no—
832C2×Dic79—81no—
833C2×Dic79—81no—
834C2×Dic79—81no—
835D316—21no—
836D316—21no—
837C4×D79—81no—
838C4×D79—81no—
839C4×D79—81no—
840Dic158—21no—
841Dic158—21no—
842Dic158—21no—
843Dic158—21no—
844Dic158—21no—
845Dic158—21no—
846Dic158—81no—
847Dic158—81no—
848Dic158—81no—
849C79⋊C8—21no—
850C79⋊C8—21no—
851C79⋊C8—21no—
852C79⋊C8—21no—
853C79⋊C8—21no—
854C79⋊C8—21no—
855C79⋊C8—21no—
856C79⋊C8—21no—
857C22×C79—21no—
858C22×C79—21no—
859C22×C79—21no—
860C22×C79—21no—
861C22×C79—21no—
862C22×C79—21no—
863C22×C79—21no—
864C22×C79—21no—
865C22×C79—21no—
866C22×C79—21no—
867C22×C79—21no—
868C22×C79—21no—
869C22×C79—21no—
870C22×C79—21no—
871C22×C79—44no—
872C22×C79—41no—
873C22×C79—41no—
874C22×C79—41no—
875C22×C79#57812yes—
876C22×C79C23×D411yescharacteristic
877C2×D79—41no—
878C2×D79—41no—
879C2×D79—41no—
880C4×C79—21no—
881C4×C79—21no—
882C4×C79—22no—
883C4×C79—22no—
884C4×C79—21no—
885C4×C79—21no—
886C4×C79—21no—
887C4×C79—21no—
888C4×C79—21no—
889C4×C79—21no—
890C4×C79—21no—
891C4×C79—41no—
892C4×C79—41no—
893C4×C79—41no—
894C4×C79—41no—
895C4×C79—41no—
896C4×C79C2×H(5,𝔽2)11yescharacteristic
897C4×C79C2×H(5,𝔽2)11yescharacteristic
898Dic79—41no—
899Dic79—41no—
900Dic79—41no—
901Dic79—41no—
902Dic79—41no—
903Dic79—41no—
904Dic79—41no—
905#61612—791nomaximal, Sylow
906C2×C79—22no—
907C2×C79—41no—
908C2×C79—41no—
909C2×C79—41no—
910C2×C79—41no—
911C2×C79—81no—
912C2×C79#348411yescharacteristic
913C2×C79C2×#57811yescharacteristic
914C2×C79#358611yescharacteristic
915D79—81no—
916#3541—791no—
917#3486D7911yescharacteristic, complemented
918#3328—791no—
919#3327—791no—
920#3320—791no—
921#3316—791no—
922#3313—791no—
923#3312—791no—
924#3301—791no—
925#3299—791no—
926D4×Q16—791no—
927#3285—791no—
928#3277—791no—
929#3276—791no—
930#3270—791no—
931#3270—791no—
932#3270—791no—
933#3269—791no—
934#3225—791no—
935#3223—791no—
936#3202—791no—
937#3201—791no—
938#3196—791no—
939#3191—791no—
940#3127—791no—
941#3121—791no—
942#3013—791no—
943#3011—791no—
944#3004—791no—
945C2×#451—791no—
946#2976—791no—
947C79#6161211yescharacteristic, complemented, Sylow
948C2×2−1+4C2×D7911yescharacteristic
949C23×Q8C2×D7911yescharacteristic
950C2×#137—791no—
951C2×#137—791no—
952C2×#137—791no—
953C2×#137—791no—
954C2×#135—791no—
955C22×Q16—791no—
956C22×Q16—791no—
957C22×Q16—791no—
958#563—1581no—
959#562—1581no—
960#556—791no—
961#554—791no—
962#554—1581no—
963#553—791no—
964#553—1581no—
965#552—791no—
966D4×Q8—21no—
967D4×Q8—21no—
968D4×Q8—791no—
969D4×Q8C2×D7911yescharacteristic
970D4×Q8C2×D7911yescharacteristic
971D4×Q8C2×D7911yescharacteristic
972D4×Q8C2×D7911yescharacteristic
973#548—21no—
974#548—21no—
975#548—791no—
976#548—791no—
977#548C2×D7911yescharacteristic
978#548C2×D7911yescharacteristic
979#548C2×D7911yescharacteristic
980#548C2×D7911yescharacteristic
981#547—791no—
982#542—791no—
983#542—1581no—
984#541—791no—
985#539—1581no—
986#538—1581no—
987#538—1581no—
988#537—791no—
989#536—21no—
990#536—21no—
991#536—791no—
992#536C2×D7911yescharacteristic
993#536C2×D7911yescharacteristic
994#525—21no—
995#525—21no—
996#525—791no—
997#525C2×D7911yescharacteristic
998#525C2×D7911yescharacteristic
999C2×C22⋊Q8—791no—
1000#519C2×D7911yescharacteristic
1001#497—791no—
1002#497—791no—
1003#495—791no—
1004#494—791no—
1005#491—791no—
1006#489—791no—
1007#488—791no—
1008#487—791no—
1009#485—791no—
1010#485—791no—
1011#485—791no—
1012#485—791no—
1013#485—791no—
1014#485—791no—
1015#484—791no—
1016#484—791no—
1017#483—791no—
1018#482—791no—
1019#482—791no—
1020#481—791no—
1021#479—791no—
1022#479—791no—
1023#477—791no—
1024#475—791no—
1025#470—791no—
1026#470—791no—
1027#470—791no—
1028#470—791no—
1029#470—791no—
1030#468—791no—
1031#468—791no—
1032#468—791no—
1033#467—791no—
1034#467—791no—
1035#467—791no—
1036#467—791no—
1037#466—791no—
1038#465—791no—
1039#465—791no—
1040#465—791no—
1041#464—791no—
1042#464—791no—
1043#464—791no—
1044#464—791no—
1045#464—791no—
1046#463—791no—
1047#462—791no—
1048#462—791no—
1049#462—791no—
1050#462—791no—
1051#462—791no—
1052#461—791no—
1053#452—791no—
1054#452—791no—
1055#452—791no—
1056#452—791no—
1057#452—791no—
1058#452—791no—
1059#452—791no—
1060#452—791no—
1061#452—791no—
1062#451—791no—
1063#451—791no—
1064#451—791no—
1065#451—791no—
1066#451—791no—
1067#451—791no—
1068#451—791no—
1069#451—791no—
1070#451—791no—
1071#451—791no—
1072#451—791no—
1073#451—791no—
1074#451—791no—
1075#451—791no—
1076#451—791no—
1077#451—791no—
1078#451—791no—
1079#451—791no—
1080#449—791no—
1081#449—791no—
1082#449—791no—
1083#448—791no—
1084#448—791no—
1085#448—791no—
1086#448—791no—
1087#448—791no—
1088#448—791no—
1089#441—791no—
1090#441—791no—
1091#441—791no—
1092#440—791no—
1093C4×Q16—791no—
1094C4×Q16—791no—
1095C4×Q16—791no—
1096C4×SD16—791no—
1097#436—791no—
1098#436—791no—
1099#435—791no—
1100#435—791no—
1101#435—791no—
1102#435—791no—
1103C8×D4—791no—
1104C8×D4—791no—
1105#433—791no—
1106#433—791no—
1107#419—791no—
1108#419—791no—
1109#419—791no—
1110#417—791no—
1111#416—791no—
1112C2×#103—791no—
1113C2×#103—791no—
1114C2×#103—791no—
1115#408—791no—
1116#408—791no—
1117#407—791no—
1118C2×C22⋊C8—791no—
11192−1+4—42no—
11202−1+4—42no—
1121C2×#41—21no—
1122C2×#41—21no—
1123C2×#41—21no—
1124C2×#41—791no—
1125C2×#41—791no—
1126C2×#41C22×D7911yescharacteristic
1127C2×#41C22×D7911yescharacteristic
1128C2×#41C22×D7911yescharacteristic
1129C2×#41C22×D7911yescharacteristic
1130C22×Q8—21no—
1131C22×Q8—21no—
1132C22×Q8—21no—
1133C22×Q8—21no—
1134C22×Q8—42no—
1135C22×Q8—42no—
1136C22×Q8—791no—
1137C22×Q8—791no—
1138C22×Q8C22×D7911yescharacteristic
1139C22×Q8C22×D7911yescharacteristic
1140C22×Q8C22×D7911yescharacteristic
1141C22×Q8C22×D7911yescharacteristic
1142C22×Q8C22×D7911yescharacteristic
1143C22×Q8C22×D7911yescharacteristic
1144C22×Q8C22×D7911yescharacteristic
1145C22×Q8C22×D7911yescharacteristic
1146C23×C4—21no—
1147C23×C4C22×D7911yescharacteristic
1148#137—3162no—
1149#137—3162no—
1150#137—3162no—
1151#137—3162no—
1152#135—3162no—
1153C2×Q16—3162no—
1154C2×Q16—3162no—
1155C2×Q16—3162no—
1156C2×Q16—791no—
1157C2×Q16—791no—
1158C2×Q16—791no—
1159C2×Q16—791no—
1160C2×Q16—791no—
1161C2×Q16—791no—
1162C2×Q16—791no—
1163C2×Q16—791no—
1164C2×Q16—791no—
1165C2×Q16—791no—
1166C2×Q16—791no—
1167C2×Q16—791no—
1168C2×Q16—791no—
1169C2×Q16—791no—
1170C2×Q16—791no—
1171C2×SD16—791no—
1172C2×SD16—791no—
1173C2×SD16—791no—
1174C2×SD16—791no—
1175C2×SD16—791no—
1176C2×SD16—791no—
1177C2×SD16—791no—
1178C2×SD16—791no—
1179C2×D8—791no—
1180C2×M16—791no—
1181C2×M16—791no—
1182C2×M16—791no—
1183C2×M16—791no—
1184C22×C8—791no—
1185C22×C8—791no—
1186C22×C8—791no—
1187C22×C8—791no—
1188C4⋊Q8—21no—
1189C4⋊Q8—21no—
1190C4⋊Q8—21no—
1191C4⋊Q8—21no—
1192C4⋊Q8—21no—
1193C4⋊Q8—791no—
1194C4⋊Q8—791no—
1195C4⋊Q8—1581no—
1196C4⋊Q8—1581no—
1197C4⋊Q8C22×D7911yescharacteristic
1198C4⋊Q8C22×D7911yescharacteristic
1199#126—1581no—
1200#126—1581no—
1201#126—1581no—
1202#126—1581no—
1203#126—1581no—
1204#126—1581no—
1205#126—1581no—
1206#125—791no—
1207#125—1581no—
1208#125—1581no—
1209#125—1581no—
1210#125—1581no—
1211#124—21no—
1212#124—21no—
1213#124—21no—
1214#124—21no—
1215#124—21no—
1216#124—791no—
1217#124—1581no—
1218#124—1581no—
1219#124—1581no—
1220#124—1581no—
1221#124—1581no—
1222#124C22×D7911yescharacteristic
1223#124C22×D7911yescharacteristic
1224#123—21no—
1225#123—21no—
1226#123—21no—
1227#123—21no—
1228#123—21no—
1229#123—1581no—
1230#123—1581no—
1231#123—1581no—
1232#123—1581no—
1233#123—1581no—
1234#123—1581no—
1235#123—1581no—
1236#123—1581no—
1237#123C22⋊D7911yescharacteristic
1238#123C22⋊D7911yescharacteristic
1239C22⋊Q8—21no—
1240C22⋊Q8—21no—
1241C22⋊Q8—21no—
1242C22⋊Q8—21no—
1243C22⋊Q8—21no—
1244C22⋊Q8—21no—
1245C22⋊Q8—21no—
1246C22⋊Q8—21no—
1247C22⋊Q8—21no—
1248C22⋊Q8—21no—
1249C22⋊Q8—21no—
1250C22⋊Q8—21no—
1251C22⋊Q8—21no—
1252C22⋊Q8—21no—
1253C22⋊Q8—791no—
1254C22⋊Q8—791no—
1255C22⋊Q8—791no—
1256C22⋊Q8—791no—
1257C22⋊Q8—791no—
1258C22⋊Q8—791no—
1259C22⋊Q8—791no—
1260C22⋊Q8—791no—
1261C22⋊Q8—791no—
1262C22⋊Q8—1581no—
1263C22⋊Q8—1581no—
1264C22⋊Q8—1581no—
1265C22⋊Q8—1581no—
1266C22⋊Q8—1581no—
1267C22⋊Q8—1581no—
1268C22⋊Q8—1581no—
1269C22⋊Q8—1581no—
1270C22⋊Q8—1581no—
1271C22⋊Q8—1581no—
1272C22⋊Q8C22⋊D7911yescharacteristic
1273C22⋊Q8C22⋊D7911yescharacteristic
1274C22⋊Q8C22×D7911yescharacteristic
1275C22⋊Q8C22×D7911yescharacteristic
1276C22⋊Q8C22×D7911yescharacteristic
1277C22⋊Q8C22×D7911yescharacteristic
1278C22⋊Q8C22×D7911yescharacteristic
1279C22⋊Q8C22×D7911yescharacteristic
1280#121—21no—
1281#121—21no—
1282#121—21no—
1283#121—21no—
1284#121—791no—
1285#121—791no—
1286#121—791no—
1287#121—1581no—
1288#121—1581no—
1289#121—1581no—
1290#121—1581no—
1291#121—1581no—
1292#121—1581no—
1293#121—1581no—
1294#121C22⋊D7911yescharacteristic
1295#121C22⋊D7911yescharacteristic
1296#121C22×D7911yescharacteristic
1297#121C22×D7911yescharacteristic
1298#120—21no—
1299#120—1581no—
1300#120C22⋊D7911yescharacteristic
1301#120C22⋊D7911yescharacteristic
1302C4×Q8—21no—
1303C4×Q8—21no—
1304C4×Q8—791no—
1305C4×Q8—791no—
1306C4×Q8—791no—
1307C4×Q8—1581no—
1308C4×Q8C22×D7911yescharacteristic
1309C4×Q8C22×D7911yescharacteristic
1310C4×Q8C22×D7911yescharacteristic
1311C4×Q8C22×D7911yescharacteristic
1312C4×D4—21no—
1313C4×D4—21no—
1314C4×D4—21no—
1315C4×D4—21no—
1316C4×D4—21no—
1317C4×D4—21no—
1318C4×D4—21no—
1319C4×D4—21no—
1320C4×D4—21no—
1321C4×D4—21no—
1322C4×D4—791no—
1323C4×D4—1581no—
1324C4×D4—1581no—
1325C4×D4—1581no—
1326C4×D4—1581no—
1327C4×D4—1581no—
1328C4×D4—1581no—
1329C4×D4—1581no—
1330C4×D4C22×D7911yescharacteristic
1331C4×D4C22×D7911yescharacteristic
1332C4×D4C22×D7911yescharacteristic
1333C4×D4C22×D7911yescharacteristic
1334#117—21no—
1335#117—21no—
1336#117—791no—
1337#117—791no—
1338#117—1581no—
1339#117C22×D7911yescharacteristic
1340#117C22×D7911yescharacteristic
1341C2×C4⋊C4—791no—
1342C2×C4⋊C4—791no—
1343C2×C4⋊C4—1581no—
1344C2×C4⋊C4—1581no—
1345C2×C22⋊C4—1581no—
1346#107—791no—
1347#107—791no—
1348#107—791no—
1349#107—791no—
1350#106—791no—
1351#106—791no—
1352#106—791no—
1353#106—791no—
1354C4⋊C8—791no—
1355C4⋊C8—791no—
1356C4⋊C8—791no—
1357C4⋊C8—791no—
1358#103—791no—
1359#103—791no—
1360#103—791no—
1361#103—791no—
1362#103—791no—
1363#103—791no—
1364#103—791no—
1365#103—791no—
1366#103—791no—
1367#103—791no—
1368#103—791no—
1369#103—791no—
1370#103—791no—
1371#103—791no—
1372#103—791no—
1373#103—791no—
1374#103—791no—
1375#103—791no—
1376#103—791no—
1377#103—791no—
1378#103—791no—
1379#103—791no—
1380#103—791no—
1381#103—791no—
1382#103—791no—
1383#103—791no—
1384#102—791no—
1385#102—791no—
1386#102—791no—
1387#102—791no—
1388#102—791no—
1389#102—791no—
1390C22⋊C8—791no—
1391C22⋊C8—791no—
1392C22⋊C8—791no—
1393C22⋊C8—791no—
1394C22⋊C8—791no—
1395C22⋊C8—791no—
1396C22⋊C8—791no—
1397C22⋊C8—791no—
1398C22⋊C8—791no—
1399C22⋊C8—791no—
1400C22⋊C8—791no—
1401C22⋊C8—791no—
1402#97—791no—
1403#97—791no—
1404C4×C8—791no—
1405C4×C8—791no—
1406C24C2×C22⋊D7911yescharacteristic
1407#41—22no—
1408#41—22no—
1409#41—41no—
1410#41—41no—
1411#41—41no—
1412#41—41no—
1413#41—41no—
1414#41—41no—
1415#41—44no—
1416#41—44no—
1417#41—44no—
1418#41—3161no—
1419#41—3161no—
1420#41—3161no—
1421#41—3161no—
1422C2×Q8—22no—
1423C2×Q8—22no—
1424C2×Q8—21no—
1425C2×Q8—21no—
1426C2×Q8—21no—
1427C2×Q8—21no—
1428C2×Q8—21no—
1429C2×Q8—21no—
1430C2×Q8—21no—
1431C2×Q8—21no—
1432C2×Q8—22no—
1433C2×Q8—22no—
1434C2×Q8—22no—
1435C2×Q8—22no—
1436C2×Q8—22no—
1437C2×Q8—22no—
1438C2×Q8—41no—
1439C2×Q8—41no—
1440C2×Q8—41no—
1441C2×Q8—41no—
1442C2×Q8—41no—
1443C2×Q8—41no—
1444C2×Q8—41no—
1445C2×Q8—41no—
1446C2×Q8—44no—
1447C2×Q8—44no—
1448C2×Q8—44no—
1449C2×Q8—44no—
1450C2×Q8—3161no—
1451C2×Q8—3161no—
1452C2×Q8—3161no—
1453C2×Q8—3161no—
1454C2×Q8—791no—
1455C2×Q8—791no—
1456C2×Q8—791no—
1457C2×Q8—1581no—
1458C2×Q8—1581no—
1459C2×Q8—1581no—
1460C2×Q8C2×C22⋊D7911yescharacteristic
1461C2×Q8C23×D7911yescharacteristic
1462C2×Q8C23×D7911yescharacteristic
1463C2×Q8C23×D7911yescharacteristic
1464C2×Q8C23×D7911yescharacteristic
1465C2×Q8C23×D7911yescharacteristic
1466C2×D4—21no—
1467C2×D4—21no—
1468C2×D4—21no—
1469C2×D4—21no—
1470C2×D4—21no—
1471C2×D4—791no—
1472C2×D4—1581no—
1473C2×D4—1581no—
1474C2×D4—1581no—
1475C2×D4—1581no—
1476C2×D4—1581no—
1477C2×D4C2×C22⋊D7911yescharacteristic
1478C2×D4C2×C22⋊D7911yescharacteristic
1479C2×D4C2×C22⋊D7911yescharacteristic
1480C2×D4C2×C22⋊D7911yescharacteristic
1481C2×D4C2×C22⋊D7911yescharacteristic
1482C2×D4C2×C22⋊D7911yescharacteristic
1483C2×D4C2×C22⋊D7911yescharacteristic
1484C2×D4C23×D7911yescharacteristic
1485C22×C4—21no—
1486C22×C4—21no—
1487C22×C4—21no—
1488C22×C4—21no—
1489C22×C4—21no—
1490C22×C4—21no—
1491C22×C4—21no—
1492C22×C4—21no—
1493C22×C4—21no—
1494C22×C4—21no—
1495C22×C4—21no—
1496C22×C4—41no—
1497C22×C4—41no—
1498C22×C4—44no—
1499C22×C4—1581no—
1500C22×C4—1581no—
1501C22×C4—1581no—
1502C22×C4—1581no—
1503C22×C4—1581no—
1504C22×C4—1581no—
1505C22×C4—1581no—
1506C22×C4C2×C22⋊D7911yescharacteristic
1507C22×C4C2×C22⋊D7911yescharacteristic
1508C22×C4C2×C22⋊D7911yescharacteristic
1509C22×C4C23×D7911yescharacteristic
1510C22×C4C23×D7911yescharacteristic
1511C22×C4C23×D7911yescharacteristic
1512C22×C4C23×D7911yescharacteristic
1513C22×C4C23×D7911yescharacteristic
1514Q16—3161no—
1515Q16—3161no—
1516Q16—3161no—
1517Q16—3161no—
1518Q16—3161no—
1519Q16—3161no—
1520Q16—3161no—
1521Q16—3161no—
1522Q16—3161no—
1523Q16—1582no—
1524Q16—1582no—
1525Q16—1582no—
1526Q16—1582no—
1527Q16—1582no—
1528Q16—1582no—
1529SD16—3161no—
1530SD16—3161no—
1531SD16—3161no—
1532SD16—3161no—
1533SD16—3161no—
1534SD16—3161no—
1535SD16—1582no—
1536SD16—1582no—
1537D8—3161no—
1538M16—3161no—
1539M16—3161no—
1540M16—3161no—
1541M16—3161no—
1542C2×C8—3161no—
1543C2×C8—3161no—
1544C2×C8—3161no—
1545C2×C8—3161no—
1546C2×C8—791no—
1547C2×C8—791no—
1548C2×C8—791no—
1549C2×C8—791no—
1550C2×C8—791no—
1551C2×C8—791no—
1552C2×C8—791no—
1553C2×C8—791no—
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—21no—
1557C4⋊C4—21no—
1558C4⋊C4—21no—
1559C4⋊C4—21no—
1560C4⋊C4—21no—
1561C4⋊C4—21no—
1562C4⋊C4—21no—
1563C4⋊C4—21no—
1564C4⋊C4—21no—
1565C4⋊C4—21no—
1566C4⋊C4—21no—
1567C4⋊C4—21no—
1568C4⋊C4—791no—
1569C4⋊C4—791no—
1570C4⋊C4—791no—
1571C4⋊C4—791no—
1572C4⋊C4—1581no—
1573C4⋊C4—1581no—
1574C4⋊C4—1581no—
1575C4⋊C4—1581no—
1576C4⋊C4—1581no—
1577C4⋊C4—1581no—
1578C4⋊C4—1581no—
1579C4⋊C4—1581no—
1580C4⋊C4—1581no—
1581C4⋊C4—1581no—
1582C4⋊C4—1581no—
1583C4⋊C4—1581no—
1584C4⋊C4—1581no—
1585C4⋊C4—1581no—
1586C4⋊C4—1581no—
1587C4⋊C4—1581no—
1588C4⋊C4—1581no—
1589C4⋊C4—1581no—
1590C4⋊C4—1581no—
1591C4⋊C4C2×C22⋊D7911yescharacteristic
1592C4⋊C4C2×C22⋊D7911yescharacteristic
1593C4⋊C4C2×C22⋊D7911yescharacteristic
1594C4⋊C4C2×C22⋊D7911yescharacteristic
1595C4⋊C4C2×C22⋊D7911yescharacteristic
1596C4⋊C4C2×C22⋊D7911yescharacteristic
1597C4⋊C4C23×D7911yescharacteristic
1598C4⋊C4C23×D7911yescharacteristic
1599C22⋊C4—21no—
1600C22⋊C4—21no—
1601C22⋊C4—21no—
1602C22⋊C4—21no—
1603C22⋊C4—21no—
1604C22⋊C4—21no—
1605C22⋊C4—21no—
1606C22⋊C4—21no—
1607C22⋊C4—21no—
1608C22⋊C4—21no—
1609C22⋊C4—21no—
1610C22⋊C4—21no—
1611C22⋊C4—21no—
1612C22⋊C4—1581no—
1613C22⋊C4—1581no—
1614C22⋊C4—1581no—
1615C22⋊C4—1581no—
1616C22⋊C4—1581no—
1617C22⋊C4—1581no—
1618C22⋊C4—1581no—
1619C22⋊C4—1581no—
1620C22⋊C4—1581no—
1621C22⋊C4—1581no—
1622C22⋊C4—1581no—
1623C22⋊C4—1581no—
1624C22⋊C4—1581no—
1625C22⋊C4—1581no—
1626C22⋊C4—1581no—
1627C22⋊C4—1581no—
1628C22⋊C4—1581no—
1629C22⋊C4C2×C22⋊D7911yescharacteristic
1630C22⋊C4C2×C22⋊D7911yescharacteristic
1631C22⋊C4C2×C22⋊D7911yescharacteristic
1632C22⋊C4C2×C22⋊D7911yescharacteristic
1633C22⋊C4C2×C22⋊D7911yescharacteristic
1634C22⋊C4C2×C22⋊D7911yescharacteristic
1635C22⋊C4C2×C22⋊D7911yescharacteristic
1636C22⋊C4C2×C22⋊D7911yescharacteristic
1637C22⋊C4C2×C22⋊D7911yescharacteristic
1638C22⋊C4C2×C22⋊D7911yescharacteristic
1639C42—21no—
1640C42—21no—
1641C42—21no—
1642C42—21no—
1643C42—21no—
1644C42—1581no—
1645C42—1581no—
1646C42—1581no—
1647C42—1581no—
1648C42—1581no—
1649C42C23×D7911yescharacteristic
1650C42C23×D7911yescharacteristic
1651C23—22no—
1652C23—21no—
1653C23—41no—
1654C23—41no—
1655C23—1581no—
1656C23C22×C22⋊D7911yescharacteristic
1657C23C22×C22⋊D7911yescharacteristic
1658C23C22×C22⋊D7911yescharacteristic
1659C23C22×C22⋊D7911yescharacteristic
1660C23C22×C22⋊D7911yescharacteristic
1661Q8—24no—
1662Q8—21no—
1663Q8—21no—
1664Q8—21no—
1665Q8—21no—
1666Q8—21no—
1667Q8—21no—
1668Q8—21no—
1669Q8—21no—
1670Q8—41no—
1671Q8—42no—
1672Q8—42no—
1673Q8—42no—
1674Q8—42no—
1675Q8—42no—
1676Q8—42no—
1677Q8—42no—
1678Q8—6321no—
1679Q8—6321no—
1680Q8—6321no—
1681Q8—1581no—
1682Q8—1581no—
1683Q8—1581no—
1684Q8—1581no—
1685Q8—1581no—
1686Q8—1581no—
1687Q8#1457920612yes—
1688Q8#1457920612yes—
1689D4—22no—
1690D4—22no—
1691D4—21no—
1692D4—21no—
1693D4—41no—
1694D4—41no—
1695D4—41no—
1696D4—41no—
1697D4—41no—
1698D4—42no—
1699D4—42no—
1700D4—42no—
1701D4—42no—
1702D4—42no—
1703D4—3162no—
1704D4—6321no—
1705D4—6321no—
1706D4—6321no—
1707D4—6321no—
1708D4—1581no—
1709D4—1581no—
1710C2×C4—24no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—41no—
1729C2×C4—41no—
1730C2×C4—41no—
1731C2×C4—42no—
1732C2×C4—42no—
1733C2×C4—42no—
1734C2×C4—42no—
1735C2×C4—42no—
1736C2×C4—42no—
1737C2×C4—42no—
1738C2×C4—42no—
1739C2×C4—42no—
1740C2×C4—42no—
1741C2×C4—6321no—
1742C2×C4—6321no—
1743C2×C4—6321no—
1744C2×C4—6321no—
1745C2×C4—6321no—
1746C2×C4—6321no—
1747C2×C4—6321no—
1748C2×C4—1581no—
1749C2×C4—1581no—
1750C2×C4—1581no—
1751C2×C4—1581no—
1752C2×C4—1581no—
1753C2×C4—1581no—
1754C2×C4—1581no—
1755C2×C4C22×C22⋊D7911yescharacteristic
1756C2×C4C22×C22⋊D7911yescharacteristic
1757C2×C4C22×C22⋊D7911yescharacteristic
1758C2×C4C22×C22⋊D7911yescharacteristic
1759C2×C4C22×C22⋊D7911yescharacteristic
1760C2×C4C22×C22⋊D7911yescharacteristic
1761C2×C4C22×C22⋊D7911yescharacteristic
1762C2×C4C22×C22⋊D7911yescharacteristic
1763C2×C4C22×C22⋊D7911yescharacteristic
1764C2×C4C24×D7911yescharacteristic
1765C8—1581no—
1766C8—1581no—
1767C8—1581no—
1768C8—1581no—
1769C8—1581no—
1770C8—1581no—
1771C8—1581no—
1772C8—1581no—
1773C22—21no—
1774C22—21no—
1775C22—21no—
1776C22—21no—
1777C22—21no—
1778C22—21no—
1779C22—21no—
1780C22—21no—
1781C22—21no—
1782C22—21no—
1783C22—21no—
1784C22—21no—
1785C22—21no—
1786C22—21no—
1787C22—44no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—3161no—
1792C22—3161no—
1793C22—3161no—
1794C22#1909937812yes—
1795C22C23×C22⋊D7911yescharacteristic
1796C4—22no—
1797C4—22no—
1798C4—21no—
1799C4—21no—
1800C4—21no—
1801C4—21no—
1802C4—21no—
1803C4—21no—
1804C4—21no—
1805C4—21no—
1806C4—21no—
1807C4—41no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—3161no—
1813C4—3161no—
1814C4—3161no—
1815C4—3161no—
1816C4—3161no—
1817C4—3161no—
1818C4—3161no—
1819C4C2×#1457920611yescharacteristic
1820C4C2×#1457920611yescharacteristic
1821C2—22no—
1822C2—41no—
1823C2—41no—
1824C2—41no—
1825C2—41no—
1826C2—81no—
1827C2—6321no—
1828C2#2377703511yescharacteristic
1829C2C2×#1909937811yescharacteristic
1830C2#2377818711yescharacteristic
subgroupG/H
centerC22C23×C22⋊D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3486C2
socleC22×C79C23×D4
hypercenter#3486D79
hypocenterC79#61612
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ #525 ◁ #3486

Complements

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

NH ≅ G/Ntype
1. #23777693C2semidirect
2. #23775683C2semidirect
3. #23775668C2semidirect
4. #23775571C2semidirect
5. #23775511C2semidirect
6. #23775466C2semidirect
7. #23775451C2semidirect
8. #23775302C2semidirect
9. #23775276C2semidirect
10. D4×#11929614C2semidirect
11. #23775137C2semidirect
12. #23775053C2semidirect
13. #23775046C2semidirect
14. #23774971C2semidirect
15. #23774971C2semidirect
16. #23774966C2semidirect
17. #23774956C2semidirect
18. #23774509C2semidirect
19. #23774483C2semidirect
20. #23774291C2semidirect
21. #23774282C2semidirect
22. #23774226C2semidirect
23. #23774188C2semidirect
24. #23773700C2semidirect
25. #23773629C2semidirect
26. #23772715C2semidirect
27. #23772695C2semidirect
28. #23772634C2semidirect
29. C2×#19098719C2semidirect
30. #23772448C2semidirect
31. C79×#3486C2semidirect
34. C2×#14579192C22semidirect
35. C2×#14579191C22semidirect
36. C2×#14579181C22semidirect
39. C22×#11929614C22semidirect
62. #19098958C22semidirect
63. #19098955C22semidirect
64. #19098945C22semidirect
65. #19098942C22semidirect
66. #19098931C22semidirect
67. #19098922C22semidirect
68. #19098917C22semidirect
69. #19098913C22semidirect
74. #19098901C22semidirect
75. #19098901C22semidirect
77. #19098896C22semidirect
78. #19098891C22semidirect
82. #19098870C22semidirect
83. #19098870C22semidirect
84. #19098858C22semidirect
85. #19098848C22semidirect
88. #19098819C22semidirect
89. #19098819C22semidirect
90. #19098819C22semidirect
91. #19098811C22semidirect
95. #19098802C22semidirect
96. #19098802C22semidirect
97. #19098802C22semidirect
100. #19098794C22semidirect
102. #19098785C22semidirect
103. #19098785C22semidirect
104. #19098782C22semidirect
105. #19098782C22semidirect
106. #19098782C22semidirect
107. #19098775C22semidirect
108. #19098773C22semidirect
109. #19098773C22semidirect
110. #19098770C22semidirect
111. #19098770C22semidirect
112. #19098770C22semidirect
113. #19098765C22semidirect
117. #19098725C22semidirect
118. #19098725C22semidirect
119. #19098725C22semidirect
121. #19098723C22semidirect
122. #19098723C22semidirect
135. #19098719C22semidirect
136. #19098719C22semidirect
137. #19098719C22semidirect
139. #19098718C22semidirect
140. #19098718C22semidirect
142. #19098708C22semidirect
148. #19098702C22semidirect
150. #19098668C22semidirect
151. #19098668C22semidirect
152. #19098668C22semidirect
153. #19098661C22semidirect
154. C4×#11929614C22semidirect
155. C4×#11929614C22semidirect
156. C4×#11929614C22semidirect
157. C4×#11929611C22semidirect
170. #19098572C22semidirect
171. #19098564C22semidirect
172. #19098559C22semidirect
175. C2×#14579085C22semidirect
917. #3486D79semidirect
947. C79#61612semidirect

Maximal subgroups

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

subgroupindex
#237776932
#237756832
#237756682
#237755712
#237755112
#237754662
#237754512
#237753022
#237752762
D4×#119296142
#237751372
#237750532
#237750462
#237749712
#237749662
#237749562
#237745092
#237744832
#237742912
#237742822
#237742262
#237741882
#237737002
#237736292
#237727152
#237726952
#237726342
C2×#190987192
#237724482
C79×#34862
#6161279