Finite Group Databasebeta

← #35173267

Subgroups — #35173267

Order 20224.

2120 conjugacy classes of subgroups.

The subgroup lattice has 1884 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777449C211yesmaximal, characteristic, complemented
2#23775526C211yesmaximal, characteristic, complemented
3#23775496C211yesmaximal, characteristic, complemented
4#23775466C211yesmaximal, characteristic, complemented
5#23775451C211yesmaximal, characteristic, complemented
6#23775436C211yesmaximal, characteristic, complemented
7#23775421C211yesmaximal, characteristic, complemented
8#23775391C211yesmaximal, characteristic, complemented
9#23775361C211yesmaximal, characteristic, complemented
10#23774981C211yesmaximal, characteristic, complemented
11#23774971C211yesmaximal, characteristic, complemented
12#23774966C211yesmaximal, characteristic, complemented
13#23774956C211yesmaximal, characteristic, complemented
14#23774951C211yesmaximal, characteristic, complemented
15#23774921C211yesmaximal, characteristic, complemented
16#23774906C211yesmaximal, characteristic, complemented
17#23774891C211yesmaximal, characteristic, complemented
18#23774437C211yesmaximal, characteristic, complemented
19#23774411C211yesmaximal, characteristic, complemented
20#23774237C211yesmaximal, characteristic, complemented
21#23774226C211yesmaximal, characteristic, complemented
22#23774188C211yesmaximal, characteristic, complemented
23#23774177C211yesmaximal, characteristic, complemented
24#23773562C211yesmaximal, characteristic, complemented
25#23773509C211yesmaximal, characteristic, complemented
26#23772660C211yesmaximal, characteristic, complemented
27#23772642C211yesmaximal, characteristic, complemented
28#23772618C211yesmaximal, characteristic, complemented
29C2×#19098725C211yesmaximal, characteristic, complemented
30#23772429C211yesmaximal, characteristic, complemented
31D4×#41×C79C211yesmaximal, characteristic, complemented
32C2×#14579192C2211yescharacteristic, complemented
33C2×#14579191C2211yescharacteristic, complemented
34C2×#14579191C2211yescharacteristic, complemented
35C2×#14579187C2211yescharacteristic, complemented
36C2×#14579181C2211yescharacteristic, complemented
37C2×#14579181C2211yescharacteristic, complemented
38C22×#11929614C2211yescharacteristic, complemented
39C22×#11929612C2211yescharacteristic, complemented
40#19099283C2211yescharacteristic, complemented
41#19099268—21no—
42#19099253C2211yescharacteristic
43#19099253C2211yescharacteristic, complemented
44#19099239—21no—
45#19099239—21no—
46D4×Dic158C2211yescharacteristic, complemented
47#19099222C2211yescharacteristic
48#19099222C2211yescharacteristic, complemented
49#19099218C2211yescharacteristic, complemented
50#19099217C2211yescharacteristic, complemented
51#19099207—21no—
52#19099178—21no—
53#19099155—21no—
54#19099155—21no—
55#19099120C2211yescharacteristic, complemented
56#19099097C2211yescharacteristic, complemented
57#19099074C2211yescharacteristic, complemented
58#19099074C2211yescharacteristic, complemented
59C2×#14579140C2211yescharacteristic, complemented
60C2×#14579140C2211yescharacteristic, complemented
61#19099042—21no—
62#19098958C2211yescharacteristic, complemented
63#19098958C2211yescharacteristic, complemented
64#19098955C2211yescharacteristic, complemented
65#19098950C2211yescharacteristic, complemented
66#19098931C2211yescharacteristic, complemented
67#19098927C2211yescharacteristic, complemented
68#19098922C2211yescharacteristic, complemented
69#19098922C2211yescharacteristic, complemented
70#19098904C2211yescharacteristic, complemented
71#19098904C2211yescharacteristic, complemented
72#19098904C2211yescharacteristic, complemented
73#19098901C2211yescharacteristic, complemented
74#19098901C2211yescharacteristic, complemented
75#19098896C2211yescharacteristic, complemented
76#19098891C2211yescharacteristic, complemented
77#19098887C2211yescharacteristic, complemented
78#19098884C2211yescharacteristic, complemented
79#19098884C2211yescharacteristic, complemented
80#19098879C2211yescharacteristic, complemented
81#19098874C2211yescharacteristic, complemented
82#19098870C2211yescharacteristic, complemented
83#19098863C2211yescharacteristic, complemented
84#19098858C2211yescharacteristic, complemented
85#19098853C2211yescharacteristic, complemented
86#19098819C2211yescharacteristic, complemented
87#19098819C2211yescharacteristic, complemented
88#19098819C2211yescharacteristic, complemented
89#19098814C2211yescharacteristic, complemented
90#19098811C2211yescharacteristic, complemented
91#19098807C2211yescharacteristic, complemented
92#19098807C2211yescharacteristic, complemented
93#19098807C2211yescharacteristic, complemented
94#19098802C2211yescharacteristic, complemented
95#19098802C2211yescharacteristic, complemented
96#19098802C2211yescharacteristic, complemented
97#19098797C2211yescharacteristic, complemented
98#19098794C2211yescharacteristic, complemented
99#19098790C2211yescharacteristic, complemented
100#19098790C2211yescharacteristic, complemented
101#19098790C2211yescharacteristic, complemented
102#19098785C2211yescharacteristic, complemented
103#19098782C2211yescharacteristic, complemented
104#19098782C2211yescharacteristic, complemented
105#19098778C2211yescharacteristic, complemented
106#19098775C2211yescharacteristic, complemented
107#19098775C2211yescharacteristic, complemented
108#19098773C2211yescharacteristic, complemented
109#19098770C2211yescharacteristic, complemented
110#19098770C2211yescharacteristic, complemented
111#19098768C2211yescharacteristic, complemented
112#19098760C2211yescharacteristic, complemented
113#19098760C2211yescharacteristic, 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#19098725C2211yescharacteristic, complemented
126#19098725C2211yescharacteristic, complemented
127#19098725C2211yescharacteristic, complemented
128#19098725C2211yescharacteristic, complemented
129#19098723C2211yescharacteristic, complemented
130#19098723C2211yescharacteristic, complemented
131#19098719C2211yescharacteristic, complemented
132#19098719C2211yescharacteristic, complemented
133#19098719C2211yescharacteristic, complemented
134#19098718C2211yescharacteristic, complemented
135#19098718C2211yescharacteristic, complemented
136#19098714C2211yescharacteristic, complemented
137#19098714C2211yescharacteristic, complemented
138#19098714C2211yescharacteristic, complemented
139#19098708C2211yescharacteristic
140#19098708C2211yescharacteristic, complemented
141#19098708C2211yescharacteristic, complemented
142#19098708C2211yescharacteristic, complemented
143#19098708C2211yescharacteristic, complemented
144#19098706C2211yescharacteristic, complemented
145#19098706C2211yescharacteristic, complemented
146#19098702C2211yescharacteristic, complemented
147#19098701C2211yescharacteristic, complemented
148#19098701C2211yescharacteristic, complemented
149#19098697C2211yescharacteristic, complemented
150#19098673C2211yescharacteristic, complemented
151#19098668C2211yescharacteristic, complemented
152#19098668C2211yescharacteristic, complemented
153#19098668C2211yescharacteristic, complemented
154#19098663C2211yescharacteristic, complemented
155#19098663C2211yescharacteristic, complemented
156#19098663C2211yescharacteristic, complemented
157#19098661C2211yescharacteristic, complemented
158#19098635C2211yescharacteristic
159#19098635C2211yescharacteristic
160#19098635C2211yescharacteristic, complemented
161#19098635C2211yescharacteristic, complemented
162#19098635C2211yescharacteristic, complemented
163#19098635C2211yescharacteristic, complemented
164#19098635C2211yescharacteristic, complemented
165#19098635C2211yescharacteristic, complemented
166#19098620C2211yescharacteristic, complemented
167#19098620C2211yescharacteristic, complemented
168#19098572C2211yescharacteristic, complemented
169#19098568C2211yescharacteristic, complemented
170#19098564C2211yescharacteristic, complemented
171#19098564C2211yescharacteristic, complemented
172#19098559C2211yescharacteristic, complemented
173#19098559C2211yescharacteristic, complemented
174C2×#14579085C2211yescharacteristic, complemented
175C2×#14579082C2211yescharacteristic, complemented
176#19098527C2211yescharacteristic, complemented
177#19098527C2211yescharacteristic, complemented
178C2×C22⋊(C79⋊C8)C2211yescharacteristic, complemented
179C2×C22⋊(C79⋊C8)C2211yescharacteristic, complemented
180C22×#41×C79C2211yescharacteristic
181C22×#41×C79C2211yescharacteristic
182#550×C79C2211yescharacteristic
183D4×Q8×C79C2211yescharacteristic
184#548×C79C2211yescharacteristic
185#548×C79C2211yescharacteristic
186#547×C79—21no—
187#547×C79C2211yescharacteristic
188#546×C79—21no—
189#546×C79—21no—
190#546×C79C2211yescharacteristic
191#546×C79C2211yescharacteristic
192D42×C79—21no—
193D42×C79C2211yescharacteristic
194#532×C79—21no—
195#532×C79C2211yescharacteristic
196#525×C79—21no—
197#525×C79—21no—
198#525×C79C2211yescharacteristic
199#525×C79C2211yescharacteristic
200C4×#41×C79C2211yescharacteristic
201C2×C4×D4×C79—21no—
202C2×C4×D4×C79C2211yescharacteristic
203C2×#11929624C2311yescharacteristic
204C2×#11929624C2311yescharacteristic
205C2×#11929623—21no—
206C22×Dic158C2311yescharacteristic
207C22×Dic158C2311yescharacteristic
208#14579192—42no—
209#14579191—42no—
210#14579191—42no—
211#14579187—42no—
212#14579181—42no—
213#14579181—42no—
214C2×#11929614—42no—
215C2×#11929614C2311yescharacteristic
216C2×#11929614C2311yescharacteristic
217C2×#11929614C2311yescharacteristic
218C2×#11929614C2311yescharacteristic
219C2×#11929614C2311yescharacteristic
220C2×#11929614C2311yescharacteristic
221C2×#11929614C2311yescharacteristic
222C2×#11929614C2311yescharacteristic
223C2×#11929614C2311yescharacteristic
224C2×#11929612—42no—
225C2×#11929612C2311yescharacteristic
226C2×#11929612C2311yescharacteristic
227C2×#11929612C2311yescharacteristic
228C2×#11929612C2311yescharacteristic
229C2×#11929612C2311yescharacteristic
230C2×#11929612C2311yescharacteristic
231C2×#11929612C2311yescharacteristic
232C2×#11929612C2311yescharacteristic
233C2×#11929612C2311yescharacteristic
234C2×#11929611C2311yescharacteristic
235C2×#11929611C2311yescharacteristic
236C2×#11929611C2311yescharacteristic
237C2×#11929609C2311yescharacteristic
238C2×#11929609C2311yescharacteristic
239C2×#11929609C2311yescharacteristic
240C2×#11929608C2311yescharacteristic
241C2×#11929608C2311yescharacteristic
242C2×#11929608C2311yescharacteristic
243C2×#11929608C2311yescharacteristic
244C22×C79⋊C8C2311yescharacteristic
245C22×C79⋊C8C2311yescharacteristic
246C22×C79⋊C8C2311yescharacteristic
247C22×C79⋊C8C2311yescharacteristic
248#14579161C2311yescharacteristic
249#14579161C2311yescharacteristic
250#14579160—21no—
251#14579155—21no—
252#14579154—21no—
253#14579154—21no—
254#14579154—21no—
255#14579154—21no—
256#14579153—21no—
257#14579153C2311yescharacteristic
258#14579151—21no—
259#14579151—21no—
260#14579149C2311yescharacteristic
261#14579148—21no—
262#14579147—21no—
263#14579147—21no—
264#14579145—21no—
265#14579145—21no—
266#14579144—21no—
267#14579144—21no—
268#14579144—21no—
269#14579143—21no—
270#14579143—21no—
271#14579142—21no—
272#14579142—21no—
273#14579141—21no—
274#14579140—21no—
275#14579140—21no—
276#14579140—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#14579138—21no—
291#14579138—21no—
292#14579135C2311yescharacteristic
293#14579135C2311yescharacteristic
294#14579135C2311yescharacteristic
295#14579133—21no—
296#14579133—21no—
297#14579132—21no—
298#14579130—21no—
299#14579130—21no—
300C4×Dic158—21no—
301C4×Dic158C2311yescharacteristic
302C4×Dic158C2311yescharacteristic
303C4×Dic158C2311yescharacteristic
304#14579126—21no—
305C4×D316C2311yescharacteristic
306D4×Dic79—21no—
307C4×C22⋊D79—21no—
308C4×C22⋊D79—21no—
309C4×C22⋊D79—21no—
310C4×C22⋊D79—21no—
311C4×C22⋊D79—21no—
312(C22⋊D79)⋊C4—21no—
313(C22⋊D79)⋊C4—21no—
314#14579120—21no—
315#14579120C2311yescharacteristic
316#14579120C2311yescharacteristic
317#14579118—21no—
318#14579117—21no—
319#14579117—21no—
320C2×C4⋊Dic79C2311yescharacteristic
321C2×C4⋊Dic79C2311yescharacteristic
322C2×Dic79⋊C4—21no—
323C2×Dic79⋊C4—21no—
324C4⋊C4×D79—21no—
325C2×C22⋊Dic79—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#14579084C2311yescharacteristic
352#14579084C2311yescharacteristic
353#14579084C2311yescharacteristic
354#14579084C2311yescharacteristic
355#14579084C2311yescharacteristic
356#14579084C2311yescharacteristic
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
385#14579072C2311yescharacteristic
386#14579072C2311yescharacteristic
387C2×#41×C79—21no—
388C2×#41×C79—21no—
389C2×#41×C79—21no—
390C2×#41×C79—21no—
391C2×#41×C79—42no—
392C2×#41×C79—42no—
393C2×#41×C79—42no—
394C2×#41×C79—42no—
395C2×#41×C79C2311yescharacteristic
396C2×#41×C79C2311yescharacteristic
397C2×#41×C79C2311yescharacteristic
398C2×#41×C79C2311yescharacteristic
399C2×#41×C79C2311yescharacteristic
400C2×#41×C79C2311yescharacteristic
401C2×#41×C79C2311yescharacteristic
402C22×Q8×C79C2311yescharacteristic
403C22×Q8×C79C2311yescharacteristic
404C22×D4×C79—21no—
405C22×D4×C79—21no—
406C22×D4×C79—21no—
407C22×D4×C79D411yescharacteristic
408C22×D4×C79C2311yescharacteristic
409C22×D4×C79C2311yescharacteristic
410C23×C4×C79—21no—
411C23×C4×C79—21no—
412C23×C4×C79C2311yescharacteristic
413C23×C4×C79C2311yescharacteristic
414C4⋊Q8×C79—21no—
415C4⋊Q8×C79C2311yescharacteristic
416#127×C79—21no—
417#127×C79C2311yescharacteristic
418#124×C79—21no—
419#124×C79—21no—
420#124×C79C2311yescharacteristic
421#124×C79C2311yescharacteristic
422#123×C79—21no—
423#123×C79—21no—
424#123×C79—21no—
425#123×C79—21no—
426#123×C79—21no—
427#123×C79—21no—
428C22⋊Q8×C79—21no—
429C22⋊Q8×C79—21no—
430C22⋊Q8×C79—21no—
431C22⋊Q8×C79—21no—
432C22⋊Q8×C79C2311yescharacteristic
433C22⋊Q8×C79C2311yescharacteristic
434C22⋊Q8×C79C2311yescharacteristic
435C22⋊Q8×C79C2311yescharacteristic
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×C79C2311yescharacteristic
447#121×C79C2311yescharacteristic
448#121×C79C2311yescharacteristic
449#121×C79C2311yescharacteristic
450#120×C79—21no—
451#120×C79—21no—
452#120×C79—21no—
453#120×C79—21no—
454#120×C79—21no—
455#120×C79—21no—
456C4×Q8×C79C2311yescharacteristic
457C4×Q8×C79C2311yescharacteristic
458C4×D4×C79—21no—
459C4×D4×C79—21no—
460C4×D4×C79—21no—
461C4×D4×C79—21no—
462C4×D4×C79—21no—
463C4×D4×C79—21no—
464C4×D4×C79—21no—
465C4×D4×C79—21no—
466C4×D4×C79—21no—
467C4×D4×C79—21no—
468C4×D4×C79—21no—
469C4×D4×C79—21no—
470C4×D4×C79D411yescharacteristic
471C4×D4×C79D411yescharacteristic
472C4×D4×C79D411yescharacteristic
473C4×D4×C79D411yescharacteristic
474C4×D4×C79C2311yescharacteristic
475C4×D4×C79C2311yescharacteristic
476C4×D4×C79C2311yescharacteristic
477C4×D4×C79C2311yescharacteristic
478C4×D4×C79C2311yescharacteristic
479C4×D4×C79C2311yescharacteristic
480#117×C79—21no—
481#117×C79C2311yescharacteristic
482C2×C4⋊C4×C79—21no—
483C2×C4⋊C4×C79D411yescharacteristic
484C2×C22⋊C4×C79—21no—
485C2×C22⋊C4×C79—21no—
486C2×C22⋊C4×C79D411yescharacteristic
487C2×C22⋊C4×C79D411yescharacteristic
488C2×C42×C79—21no—
489C2×C42×C79C2311yescharacteristic
490#11929624—41no—
491#11929624—41no—
492#11929624—41no—
493#11929624—41no—
494#11929623—44no—
495C2×Dic158—21no—
496C2×Dic158—21no—
497C2×Dic158—21no—
498C2×Dic158—41no—
499C2×Dic158—41no—
500C2×Dic158—41no—
501C2×Dic158—41no—
502C2×Dic158C2411yescharacteristic
503C2×Dic158C2411yescharacteristic
504C2×Dic158C2411yescharacteristic
505C2×D316C2411yescharacteristic
506C2×C22⋊D79—21no—
507C2×C22⋊D79—21no—
508C2×C22⋊D79—21no—
509C2×C22⋊D79—21no—
510C2×C22⋊D79—21no—
511C22×Dic79—21no—
512C22×Dic79—21no—
513C22×Dic79—21no—
514C22×Dic79—21no—
515C2×C4×D79—21no—
516C2×C4×D79—21no—
517C2×C4×D79—21no—
518#11929614—22no—
519#11929614—22no—
520#11929614—22no—
521#11929614—41no—
522#11929614—41no—
523#11929614—41no—
524#11929614—41no—
525#11929614—41no—
526#11929614—41no—
527#11929612—22no—
528#11929612—22no—
529#11929612—22no—
530#11929612—41no—
531#11929612—41no—
532#11929612—41no—
533#11929612—41no—
534#11929612—41no—
535#11929612—41no—
536#11929611—22no—
537#11929611—41no—
538#11929611—41no—
539#11929609—22no—
540#11929609—41no—
541#11929609—41no—
542#11929608—41no—
543#11929608—41no—
544#11929608—41no—
545#11929608—41no—
546C2×C79⋊C8—41no—
547C2×C79⋊C8—41no—
548C2×C79⋊C8—41no—
549C2×C79⋊C8—41no—
550C2×C79⋊C8C2411yescharacteristic
551C2×C79⋊C8C2411yescharacteristic
552C2×C79⋊C8C2411yescharacteristic
553C2×C79⋊C8C2411yescharacteristic
554C2×C79⋊C8C2411yescharacteristic
555C2×C79⋊C8C2411yescharacteristic
556C2×C79⋊C8C2411yescharacteristic
557C2×C79⋊C8C2411yescharacteristic
558C4⋊Dic79—21no—
559C4⋊Dic79—21no—
560C4⋊Dic79—21no—
561C4⋊Dic79—21no—
562C4⋊Dic79—21no—
563C4⋊Dic79C2411yescharacteristic
564C4⋊Dic79C2411yescharacteristic
565C4⋊Dic79C2411yescharacteristic
566C4⋊Dic79C2411yescharacteristic
567Dic79⋊C4—21no—
568Dic79⋊C4—21no—
569Dic79⋊C4—21no—
570Dic79⋊C4—21no—
571Dic79⋊C4—21no—
572Dic79⋊C4—21no—
573Dic79⋊C4—21no—
574Dic79⋊C4—21no—
575Dic79⋊C4—21no—
576Dic79⋊C4—21no—
577Dic79⋊C4—21no—
578Dic79⋊C4—21no—
579Dic79⋊C4—21no—
580Dic79⋊C4—21no—
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—
591C22⋊Dic79—21no—
592(C2×D79)⋊C4—21no—
593(C2×D79)⋊C4—21no—
594(C2×D79)⋊C4—21no—
595(C2×D79)⋊C4—21no—
596(C2×D79)⋊C4—21no—
597(C2×D79)⋊C4—21no—
598C4×Dic79—21no—
599C4×Dic79—21no—
600C4×Dic79—21no—
601C4×Dic79—21no—
602C4×Dic79—21no—
603C24×C79—21no—
604C24×C79—21no—
605C24×C79C2×D411yescharacteristic
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—
624#41×C79—44no—
625C2×Q8×C79—21no—
626C2×Q8×C79—21no—
627C2×Q8×C79—22no—
628C2×Q8×C79—22no—
629C2×Q8×C79—41no—
630C2×Q8×C79—41no—
631C2×Q8×C79C2411yescharacteristic
632C2×Q8×C79C2411yescharacteristic
633C2×Q8×C79C2411yescharacteristic
634C2×D4×C79—21no—
635C2×D4×C79—22no—
636C2×D4×C79—22no—
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—41no—
652C2×D4×C79—41no—
653C2×D4×C79—42no—
654C2×D4×C79—44no—
655C2×D4×C79—44no—
656C2×D4×C79—44no—
657C2×D4×C79C2×D411yescharacteristic
658C2×D4×C79C2×D411yescharacteristic
659C2×D4×C79C2×D411yescharacteristic
660C2×D4×C79C2×D411yescharacteristic
661C2×D4×C79C2411yescharacteristic
662C2×D4×C79C2411yescharacteristic
663C2×D4×C79C2411yescharacteristic
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—21no—
673C22×C4×C79—21no—
674C22×C4×C79—21no—
675C22×C4×C79—41no—
676C22×C4×C79—41no—
677C22×C4×C79—41no—
678C22×C4×C79—41no—
679C22×C4×C79—44no—
680C22×C4×C79—44no—
681C22×C4×C79C2×D411yescharacteristic
682C22×C4×C79C2×D411yescharacteristic
683C22×C4×C79C2×D411yescharacteristic
684C22×C4×C79C2×D411yescharacteristic
685C22×C4×C79C2×D411yescharacteristic
686C22×C4×C79C2×D411yescharacteristic
687C22×C4×C79C2×D411yescharacteristic
688C22×C4×C79C2×D411yescharacteristic
689C22×C4×C79C2411yescharacteristic
690C22×C4×C79C2411yescharacteristic
691C22×C4×C79C2411yescharacteristic
692C22×C4×C79C2411yescharacteristic
693C22×C4×C79C2411yescharacteristic
694C4⋊C4×C79—21no—
695C4⋊C4×C79—21no—
696C4⋊C4×C79—21no—
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×C79C2411yescharacteristic
707C4⋊C4×C79C2411yescharacteristic
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×C79—21no—
719C22⋊C4×C79—21no—
720C22⋊C4×C79—21no—
721C22⋊C4×C79—21no—
722C22⋊C4×C79—21no—
723C22⋊C4×C79C2×D411yescharacteristic
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
731C42×C79—21no—
732C42×C79—21no—
733C42×C79—21no—
734C42×C79C2×D411yescharacteristic
735C42×C79C2×D411yescharacteristic
736C42×C79C2411yescharacteristic
737C42×C79C2411yescharacteristic
738C23×C79—21no—
739C23×C79—22no—
740C23×C79—21no—
741C23×C79—21no—
742C23×C79—41no—
743C23×C79—41no—
744C23×C79—41no—
745C23×C79—41no—
746C23×C79—41no—
747C23×C79—42no—
748C23×C79—42no—
749C23×C79—42no—
750C23×C79—42no—
751C23×C79—81no—
752C23×C79—81no—
753C23×C79C22×D411yescharacteristic
754C23×C79C22×D411yescharacteristic
755C23×C79C22×D411yescharacteristic
756C23×C79C22×D411yescharacteristic
757C23×C79C22×D411yescharacteristic
758C22×D79—21no—
759Q8×C79—21no—
760Q8×C79—21no—
761Q8×C79—21no—
762Q8×C79—21no—
763Q8×C79—21no—
764Q8×C79—42no—
765Q8×C79—42no—
766Q8×C79H(5,𝔽2)12yes—
767D4×C79—24no—
768D4×C79—22no—
769D4×C79—22no—
770D4×C79—21no—
771D4×C79—21no—
772D4×C79—21no—
773D4×C79—21no—
774D4×C79—21no—
775D4×C79—41no—
776D4×C79—41no—
777D4×C79—42no—
778D4×C79—42no—
779D4×C79—42no—
780D4×C79—42no—
781D4×C79—42no—
782D4×C79—42no—
783D4×C79—42no—
784D4×C79—42no—
785D4×C79—42no—
786D4×C79—42no—
787D4×C79—42no—
788D4×C79—81no—
789D4×C79—81no—
790D4×C79—81no—
791D4×C79H(5,𝔽2)12yes—
792C2×C4×C79—24no—
793C2×C4×C79—21no—
794C2×C4×C79—21no—
795C2×C4×C79—21no—
796C2×C4×C79—21no—
797C2×C4×C79—21no—
798C2×C4×C79—21no—
799C2×C4×C79—21no—
800C2×C4×C79—21no—
801C2×C4×C79—21no—
802C2×C4×C79—21no—
803C2×C4×C79—21no—
804C2×C4×C79—21no—
805C2×C4×C79—21no—
806C2×C4×C79—21no—
807C2×C4×C79—21no—
808C2×C4×C79—41no—
809C2×C4×C79—41no—
810C2×C4×C79—41no—
811C2×C4×C79—41no—
812C2×C4×C79—41no—
813C2×C4×C79—41no—
814C2×C4×C79—41no—
815C2×C4×C79—41no—
816C2×C4×C79—42no—
817C2×C4×C79—42no—
818C2×C4×C79—42no—
819C2×C4×C79—42no—
820C2×C4×C79—42no—
821C2×C4×C79—42no—
822C2×C4×C79—42no—
823C2×C4×C79—42no—
824C2×C4×C79—42no—
825C2×C4×C79—81no—
826C2×C4×C79C22×D411yescharacteristic
827C2×C4×C79C22×D411yescharacteristic
828C2×C4×C79C22×D411yescharacteristic
829C2×C4×C79C22×D411yescharacteristic
830C2×C4×C79C22×D411yescharacteristic
831C2×C4×C79C22×D411yescharacteristic
832C2×C4×C79C22×D411yescharacteristic
833C2×C4×C79C22×D411yescharacteristic
834C2×C4×C79C22×D411yescharacteristic
835C2×C4×C79C2511yescharacteristic
836C22⋊D79—42no—
837C22⋊D79—42no—
838C22⋊D79—42no—
839C22⋊D79—81no—
840C22⋊D79—81no—
841C2×Dic79—21no—
842C2×Dic79—21no—
843C2×Dic79—21no—
844C2×Dic79—21no—
845C2×Dic79—21no—
846C2×Dic79—21no—
847C2×Dic79—21no—
848C2×Dic79—42no—
849C2×Dic79—42no—
850C2×Dic79—81no—
851C2×Dic79—81no—
852D316—21no—
853D316—21no—
854C4×D79—42no—
855C4×D79—81no—
856C4×D79—81no—
857Dic158—21no—
858Dic158—21no—
859Dic158—21no—
860Dic158—21no—
861Dic158—21no—
862Dic158—21no—
863Dic158—42no—
864Dic158—81no—
865Dic158—81no—
866C79⋊C8—21no—
867C79⋊C8—21no—
868C79⋊C8—21no—
869C79⋊C8—21no—
870C79⋊C8—21no—
871C79⋊C8—21no—
872C79⋊C8—21no—
873C79⋊C8—21no—
874C22×C79—21no—
875C22×C79—21no—
876C22×C79—21no—
877C22×C79—21no—
878C22×C79—21no—
879C22×C79—21no—
880C22×C79—21no—
881C22×C79—21no—
882C22×C79—21no—
883C22×C79—22no—
884C22×C79—21no—
885C22×C79—21no—
886C22×C79—21no—
887C22×C79—21no—
888C22×C79—21no—
889C22×C79—41no—
890C22×C79—41no—
891C22×C79—41no—
892C22×C79—41no—
893C22×C79—41no—
894C22×C79—41no—
895C22×C79—41no—
896C22×C79—41no—
897C22×C79—82no—
898C22×C79—84no—
899C22×C79—82no—
900C22×C79—84no—
901C22×C79#57512yes—
902C22×C79C23×D411yescharacteristic
903C2×D79—41no—
904C2×D79—41no—
905C2×D79—41no—
906C4×C79—21no—
907C4×C79—21no—
908C4×C79—21no—
909C4×C79—22no—
910C4×C79—21no—
911C4×C79—21no—
912C4×C79—21no—
913C4×C79—21no—
914C4×C79—21no—
915C4×C79—21no—
916C4×C79—41no—
917C4×C79—41no—
918C4×C79—41no—
919C4×C79—41no—
920C4×C79C2×H(5,𝔽2)11yescharacteristic
921C4×C79C2×H(5,𝔽2)11yescharacteristic
922Dic79—41no—
923Dic79—41no—
924Dic79—41no—
925Dic79—41no—
926Dic79—41no—
927Dic79—41no—
928Dic79—41no—
929#61580—791nomaximal, Sylow
930C2×C79—22no—
931C2×C79—41no—
932C2×C79—41no—
933C2×C79—41no—
934C2×C79—41no—
935C2×C79—42no—
936C2×C79—81no—
937C2×C79—81no—
938C2×C79#348411yescharacteristic
939C2×C79C2×#57511yescharacteristic
940C2×C79#358611yescharacteristic
941D79—81no—
942#3520—791no—
943D4×#41D7911yescharacteristic, complemented
944#3317—791no—
945#3315—791no—
946#3313—791no—
947#3312—791no—
948#3311—791no—
949#3310—791no—
950#3308—791no—
951#3306—791no—
952#3271—791no—
953#3270—791no—
954#3270—791no—
955#3269—791no—
956#3269—791no—
957#3267—791no—
958#3266—791no—
959#3265—791no—
960#3219—791no—
961#3216—791no—
962#3197—791no—
963#3196—791no—
964#3191—791no—
965#3190—791no—
966#3116—791no—
967#3111—791no—
968#3007—791no—
969#3005—791no—
970#3002—791no—
971C2×#452—791no—
972#2973—791no—
973C79#6158011yescharacteristic, complemented, Sylow
974C22×#41C2×D7911yescharacteristic
975C22×#41C2×D7911yescharacteristic
976C2×#137—791no—
977C2×#137—791no—
978C2×#137—791no—
979C2×AGL(1,ℤ/8)—791no—
980C2×#135—791no—
981C2×#135—791no—
982C22×Q16—791no—
983C22×SD16—791no—
984#556—791no—
985#554—1581no—
986#552—791no—
987#552—791no—
988#551—1581no—
989#551—1581no—
990#550C2×D7911yescharacteristic
991D4×Q8—791no—
992D4×Q8C2×D7911yescharacteristic
993#548—791no—
994#548—791no—
995#548C2×D7911yescharacteristic
996#548C2×D7911yescharacteristic
997#547—21no—
998#547—791no—
999#547—791no—
1000#547C2×D7911yescharacteristic
1001#546—21no—
1002#546—21no—
1003#546—1581no—
1004#546C2×D7911yescharacteristic
1005#546C2×D7911yescharacteristic
1006D42—21no—
1007D42C2×D7911yescharacteristic
1008#542—1581no—
1009#539—1581no—
1010#539—1581no—
1011#533—791no—
1012#532—21no—
1013#532C2×D7911yescharacteristic
1014#529—791no—
1015#525—21no—
1016#525—21no—
1017#525—791no—
1018#525—791no—
1019#525C2×D7911yescharacteristic
1020#525C2×D7911yescharacteristic
1021C2×C22⋊Q8—791no—
1022C2×C22⋊Q8—791no—
1023#520—1581no—
1024C4×#41C2×D7911yescharacteristic
1025C2×C4×D4—21no—
1026C2×C4×D4C2×D7911yescharacteristic
1027#497—791no—
1028#497—791no—
1029#497—791no—
1030#496—791no—
1031#491—791no—
1032#490—791no—
1033#489—791no—
1034#489—791no—
1035#485—791no—
1036#485—791no—
1037#485—791no—
1038#485—791no—
1039#485—791no—
1040#484—791no—
1041#483—791no—
1042#482—791no—
1043#482—791no—
1044#482—791no—
1045#481—791no—
1046#480—791no—
1047#479—791no—
1048#478—791no—
1049#477—791no—
1050#476—791no—
1051#470—791no—
1052#470—791no—
1053#470—791no—
1054#469—791no—
1055#468—791no—
1056#468—791no—
1057#468—791no—
1058#468—791no—
1059#467—791no—
1060#467—791no—
1061#467—791no—
1062#466—791no—
1063#465—791no—
1064#465—791no—
1065#465—791no—
1066#465—791no—
1067#464—791no—
1068#464—791no—
1069#464—791no—
1070#463—791no—
1071#463—791no—
1072#463—791no—
1073#462—791no—
1074#462—791no—
1075#462—791no—
1076#461—791no—
1077#460—791no—
1078#460—791no—
1079#452—791no—
1080#452—791no—
1081#452—791no—
1082#452—791no—
1083#452—791no—
1084#452—791no—
1085#452—791no—
1086#452—791no—
1087#452—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#451—791no—
1097#451—791no—
1098#451—791no—
1099#451—791no—
1100#451—791no—
1101#450—791no—
1102#450—791no—
1103#450—791no—
1104#449—791no—
1105#449—791no—
1106#449—791no—
1107#449—791no—
1108#449—791no—
1109#449—791no—
1110#449—791no—
1111#448—791no—
1112#448—791no—
1113#448—791no—
1114#447—791no—
1115#442—791no—
1116#441—791no—
1117#441—791no—
1118#441—791no—
1119#440—791no—
1120#440—791no—
1121#440—791no—
1122#440—791no—
1123#435—791no—
1124#435—791no—
1125#435—791no—
1126#435—791no—
1127#435—791no—
1128#435—791no—
1129#435—791no—
1130#435—791no—
1131#432—791no—
1132#432—791no—
1133#419—791no—
1134#418—791no—
1135#417—791no—
1136#417—791no—
1137#416—791no—
1138#416—791no—
1139C2×#103—791no—
1140C2×#102—791no—
1141#407—791no—
1142#407—791no—
1143C2×C22⋊C8—791no—
1144C2×C22⋊C8—791no—
1145C2×#41—21no—
1146C2×#41—21no—
1147C2×#41—21no—
1148C2×#41—21no—
1149C2×#41—42no—
1150C2×#41—42no—
1151C2×#41—42no—
1152C2×#41—42no—
1153C2×#41—791no—
1154C2×#41—791no—
1155C2×#41—1581no—
1156C2×#41C22×D7911yescharacteristic
1157C2×#41C22×D7911yescharacteristic
1158C2×#41C22×D7911yescharacteristic
1159C2×#41C22×D7911yescharacteristic
1160C2×#41C22×D7911yescharacteristic
1161C2×#41C22×D7911yescharacteristic
1162C2×#41C22×D7911yescharacteristic
1163C22×Q8—791no—
1164C22×Q8—791no—
1165C22×Q8C22×D7911yescharacteristic
1166C22×Q8C22×D7911yescharacteristic
1167C22×D4—21no—
1168C22×D4—21no—
1169C22×D4—21no—
1170C22×D4C22⋊D7911yescharacteristic
1171C22×D4C22×D7911yescharacteristic
1172C22×D4C22×D7911yescharacteristic
1173C23×C4—21no—
1174C23×C4—21no—
1175C23×C4C22×D7911yescharacteristic
1176C23×C4C22×D7911yescharacteristic
1177#137—3162no—
1178#137—3162no—
1179#137—3162no—
1180AGL(1,ℤ/8)—3162no—
1181#135—3162no—
1182#135—3162no—
1183C2×Q16—3162no—
1184C2×Q16—791no—
1185C2×Q16—791no—
1186C2×Q16—791no—
1187C2×Q16—791no—
1188C2×Q16—791no—
1189C2×Q16—791no—
1190C2×Q16—791no—
1191C2×Q16—791no—
1192C2×Q16—791no—
1193C2×SD16—3162no—
1194C2×SD16—791no—
1195C2×SD16—791no—
1196C2×SD16—791no—
1197C2×SD16—791no—
1198C2×SD16—791no—
1199C2×SD16—791no—
1200C2×SD16—791no—
1201C2×SD16—791no—
1202C2×SD16—791no—
1203C2×SD16—791no—
1204C2×SD16—791no—
1205C2×SD16—791no—
1206C2×D8—791no—
1207C2×D8—791no—
1208C2×D8—791no—
1209C2×M16—791no—
1210C2×M16—791no—
1211C2×M16—791no—
1212C2×M16—791no—
1213C22×C8—791no—
1214C22×C8—791no—
1215C22×C8—791no—
1216C22×C8—791no—
1217C4⋊Q8—21no—
1218C4⋊Q8—791no—
1219C4⋊Q8—791no—
1220C4⋊Q8—1581no—
1221C4⋊Q8C22×D7911yescharacteristic
1222#127—21no—
1223#127C22×D7911yescharacteristic
1224#126—1581no—
1225#126—1581no—
1226#126—1581no—
1227#126—1581no—
1228#126—1581no—
1229#125—791no—
1230#125—1581no—
1231#125—1581no—
1232#125—1581no—
1233#124—21no—
1234#124—21no—
1235#124—791no—
1236#124—1581no—
1237#124—1581no—
1238#124—1581no—
1239#124C22×D7911yescharacteristic
1240#124C22×D7911yescharacteristic
1241#123—21no—
1242#123—21no—
1243#123—21no—
1244#123—21no—
1245#123—21no—
1246#123—21no—
1247#123—1581no—
1248#123—1581no—
1249#123—1581no—
1250#123—1581no—
1251#123—1581no—
1252#123—1581no—
1253#123—1581no—
1254#123—1581no—
1255#123—1581no—
1256C22⋊Q8—21no—
1257C22⋊Q8—21no—
1258C22⋊Q8—21no—
1259C22⋊Q8—21no—
1260C22⋊Q8—791no—
1261C22⋊Q8—791no—
1262C22⋊Q8—791no—
1263C22⋊Q8—791no—
1264C22⋊Q8—791no—
1265C22⋊Q8—791no—
1266C22⋊Q8—791no—
1267C22⋊Q8—791no—
1268C22⋊Q8—791no—
1269C22⋊Q8—1581no—
1270C22⋊Q8—1581no—
1271C22⋊Q8—1581no—
1272C22⋊Q8—1581no—
1273C22⋊Q8—1581no—
1274C22⋊Q8—1581no—
1275C22⋊Q8—1581no—
1276C22⋊Q8—1581no—
1277C22⋊Q8—1581no—
1278C22⋊Q8—1581no—
1279C22⋊Q8C22×D7911yescharacteristic
1280C22⋊Q8C22×D7911yescharacteristic
1281C22⋊Q8C22×D7911yescharacteristic
1282C22⋊Q8C22×D7911yescharacteristic
1283#121—21no—
1284#121—21no—
1285#121—21no—
1286#121—21no—
1287#121—21no—
1288#121—21no—
1289#121—21no—
1290#121—21no—
1291#121—21no—
1292#121—21no—
1293#121—791no—
1294#121—791no—
1295#121—791no—
1296#121—1581no—
1297#121—1581no—
1298#121—1581no—
1299#121C22×D7911yescharacteristic
1300#121C22×D7911yescharacteristic
1301#121C22×D7911yescharacteristic
1302#121C22×D7911yescharacteristic
1303#120—21no—
1304#120—21no—
1305#120—21no—
1306#120—21no—
1307#120—21no—
1308#120—21no—
1309#120—1581no—
1310#120—1581no—
1311C4×Q8—791no—
1312C4×Q8—791no—
1313C4×Q8—791no—
1314C4×Q8—1581no—
1315C4×Q8—1581no—
1316C4×Q8C22×D7911yescharacteristic
1317C4×Q8C22×D7911yescharacteristic
1318C4×D4—21no—
1319C4×D4—21no—
1320C4×D4—21no—
1321C4×D4—21no—
1322C4×D4—21no—
1323C4×D4—21no—
1324C4×D4—21no—
1325C4×D4—21no—
1326C4×D4—21no—
1327C4×D4—21no—
1328C4×D4—21no—
1329C4×D4—21no—
1330C4×D4—791no—
1331C4×D4—1581no—
1332C4×D4—1581no—
1333C4×D4—1581no—
1334C4×D4—1581no—
1335C4×D4—1581no—
1336C4×D4—1581no—
1337C4×D4—1581no—
1338C4×D4—1581no—
1339C4×D4C22⋊D7911yescharacteristic
1340C4×D4C22⋊D7911yescharacteristic
1341C4×D4C22⋊D7911yescharacteristic
1342C4×D4C22⋊D7911yescharacteristic
1343C4×D4C22×D7911yescharacteristic
1344C4×D4C22×D7911yescharacteristic
1345C4×D4C22×D7911yescharacteristic
1346C4×D4C22×D7911yescharacteristic
1347C4×D4C22×D7911yescharacteristic
1348C4×D4C22×D7911yescharacteristic
1349#117—21no—
1350#117—791no—
1351#117—791no—
1352#117—1581no—
1353#117—1581no—
1354#117—1581no—
1355#117—1581no—
1356#117C22×D7911yescharacteristic
1357C2×C4⋊C4—21no—
1358C2×C4⋊C4—791no—
1359C2×C4⋊C4—791no—
1360C2×C4⋊C4—1581no—
1361C2×C4⋊C4—1581no—
1362C2×C4⋊C4—1581no—
1363C2×C4⋊C4C22⋊D7911yescharacteristic
1364C2×C22⋊C4—21no—
1365C2×C22⋊C4—21no—
1366C2×C22⋊C4—1581no—
1367C2×C22⋊C4—1581no—
1368C2×C22⋊C4C22⋊D7911yescharacteristic
1369C2×C22⋊C4C22⋊D7911yescharacteristic
1370C2×C42—21no—
1371C2×C42C22×D7911yescharacteristic
1372#107—791no—
1373#107—791no—
1374#107—791no—
1375#107—791no—
1376#106—791no—
1377#106—791no—
1378#106—791no—
1379#106—791no—
1380C4⋊C8—791no—
1381C4⋊C8—791no—
1382C4⋊C8—791no—
1383C4⋊C8—791no—
1384#103—791no—
1385#103—791no—
1386#103—791no—
1387#103—791no—
1388#103—791no—
1389#103—791no—
1390#103—791no—
1391#103—791no—
1392#103—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#102—791no—
1403#102—791no—
1404#102—791no—
1405#102—791no—
1406#102—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—
1416C22⋊C8—791no—
1417C22⋊C8—791no—
1418C22⋊C8—791no—
1419C22⋊C8—791no—
1420C22⋊C8—791no—
1421C22⋊C8—791no—
1422C22⋊C8—791no—
1423C22⋊C8—791no—
1424C22⋊C8—791no—
1425C22⋊C8—791no—
1426C22⋊C8—791no—
1427C22⋊C8—791no—
1428#97—791no—
1429#97—791no—
1430#97—791no—
1431#97—791no—
1432C24—21no—
1433C24—21no—
1434C24C2×C22⋊D7911yescharacteristic
1435C24C2×C22⋊D7911yescharacteristic
1436#41—22no—
1437#41—22no—
1438#41—22no—
1439#41—22no—
1440#41—22no—
1441#41—22no—
1442#41—41no—
1443#41—41no—
1444#41—41no—
1445#41—41no—
1446#41—41no—
1447#41—41no—
1448#41—41no—
1449#41—41no—
1450#41—44no—
1451#41—44no—
1452#41—44no—
1453#41—44no—
1454#41—3161no—
1455#41—3161no—
1456#41—3161no—
1457#41—3161no—
1458#41—3164no—
1459C2×Q8—21no—
1460C2×Q8—21no—
1461C2×Q8—22no—
1462C2×Q8—22no—
1463C2×Q8—41no—
1464C2×Q8—41no—
1465C2×Q8—3161no—
1466C2×Q8—3161no—
1467C2×Q8—3161no—
1468C2×Q8—3161no—
1469C2×Q8—791no—
1470C2×Q8—791no—
1471C2×Q8—791no—
1472C2×Q8—1581no—
1473C2×Q8—1581no—
1474C2×Q8—1581no—
1475C2×Q8C23×D7911yescharacteristic
1476C2×Q8C23×D7911yescharacteristic
1477C2×Q8C23×D7911yescharacteristic
1478C2×D4—21no—
1479C2×D4—22no—
1480C2×D4—22no—
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
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—41no—
1496C2×D4—41no—
1497C2×D4—42no—
1498C2×D4—44no—
1499C2×D4—44no—
1500C2×D4—44no—
1501C2×D4—791no—
1502C2×D4—1581no—
1503C2×D4—1581no—
1504C2×D4—1581no—
1505C2×D4—1581no—
1506C2×D4—1581no—
1507C2×D4C2×C22⋊D7911yescharacteristic
1508C2×D4C2×C22⋊D7911yescharacteristic
1509C2×D4C2×C22⋊D7911yescharacteristic
1510C2×D4C2×C22⋊D7911yescharacteristic
1511C2×D4C23×D7911yescharacteristic
1512C2×D4C23×D7911yescharacteristic
1513C2×D4C23×D7911yescharacteristic
1514C22×C4—21no—
1515C22×C4—21no—
1516C22×C4—21no—
1517C22×C4—21no—
1518C22×C4—21no—
1519C22×C4—21no—
1520C22×C4—21no—
1521C22×C4—21no—
1522C22×C4—21no—
1523C22×C4—21no—
1524C22×C4—21no—
1525C22×C4—41no—
1526C22×C4—41no—
1527C22×C4—41no—
1528C22×C4—41no—
1529C22×C4—44no—
1530C22×C4—44no—
1531C22×C4—1581no—
1532C22×C4—1581no—
1533C22×C4—1581no—
1534C22×C4—1581no—
1535C22×C4—1581no—
1536C22×C4—1581no—
1537C22×C4—1581no—
1538C22×C4C2×C22⋊D7911yescharacteristic
1539C22×C4C2×C22⋊D7911yescharacteristic
1540C22×C4C2×C22⋊D7911yescharacteristic
1541C22×C4C2×C22⋊D7911yescharacteristic
1542C22×C4C2×C22⋊D7911yescharacteristic
1543C22×C4C2×C22⋊D7911yescharacteristic
1544C22×C4C2×C22⋊D7911yescharacteristic
1545C22×C4C2×C22⋊D7911yescharacteristic
1546C22×C4C23×D7911yescharacteristic
1547C22×C4C23×D7911yescharacteristic
1548C22×C4C23×D7911yescharacteristic
1549C22×C4C23×D7911yescharacteristic
1550C22×C4C23×D7911yescharacteristic
1551Q16—3161no—
1552Q16—3161no—
1553Q16—3161no—
1554Q16—3161no—
1555Q16—3161no—
1556Q16—3161no—
1557Q16—1582no—
1558Q16—1582no—
1559Q16—1582no—
1560SD16—3161no—
1561SD16—3161no—
1562SD16—3161no—
1563SD16—3161no—
1564SD16—3161no—
1565SD16—3161no—
1566SD16—3161no—
1567SD16—3161no—
1568SD16—1582no—
1569SD16—1582no—
1570SD16—1582no—
1571SD16—1582no—
1572D8—3161no—
1573D8—3161no—
1574D8—1582no—
1575M16—3161no—
1576M16—3161no—
1577M16—3161no—
1578M16—3161no—
1579C2×C8—3161no—
1580C2×C8—3161no—
1581C2×C8—3161no—
1582C2×C8—3161no—
1583C2×C8—791no—
1584C2×C8—791no—
1585C2×C8—791no—
1586C2×C8—791no—
1587C2×C8—791no—
1588C2×C8—791no—
1589C2×C8—791no—
1590C2×C8—791no—
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—21no—
1597C4⋊C4—21no—
1598C4⋊C4—21no—
1599C4⋊C4—791no—
1600C4⋊C4—791no—
1601C4⋊C4—791no—
1602C4⋊C4—791no—
1603C4⋊C4—1581no—
1604C4⋊C4—1581no—
1605C4⋊C4—1581no—
1606C4⋊C4—1581no—
1607C4⋊C4—1581no—
1608C4⋊C4—1581no—
1609C4⋊C4—1581no—
1610C4⋊C4—1581no—
1611C4⋊C4—1581no—
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⋊C4C2×C22⋊D7911yescharacteristic
1623C4⋊C4C2×C22⋊D7911yescharacteristic
1624C4⋊C4C2×C22⋊D7911yescharacteristic
1625C4⋊C4C2×C22⋊D7911yescharacteristic
1626C4⋊C4C23×D7911yescharacteristic
1627C4⋊C4C23×D7911yescharacteristic
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—1581no—
1644C22⋊C4—1581no—
1645C22⋊C4—1581no—
1646C22⋊C4—1581no—
1647C22⋊C4—1581no—
1648C22⋊C4—1581no—
1649C22⋊C4—1581no—
1650C22⋊C4—1581no—
1651C22⋊C4—1581no—
1652C22⋊C4—1581no—
1653C22⋊C4—1581no—
1654C22⋊C4—1581no—
1655C22⋊C4—1581no—
1656C22⋊C4—1581no—
1657C22⋊C4—1581no—
1658C22⋊C4—1581no—
1659C22⋊C4—1581no—
1660C22⋊C4C2×C22⋊D7911yescharacteristic
1661C22⋊C4C2×C22⋊D7911yescharacteristic
1662C22⋊C4C2×C22⋊D7911yescharacteristic
1663C22⋊C4C2×C22⋊D7911yescharacteristic
1664C22⋊C4C2×C22⋊D7911yescharacteristic
1665C22⋊C4C2×C22⋊D7911yescharacteristic
1666C22⋊C4C2×C22⋊D7911yescharacteristic
1667C22⋊C4C2×C22⋊D7911yescharacteristic
1668C42—21no—
1669C42—21no—
1670C42—21no—
1671C42—1581no—
1672C42—1581no—
1673C42—1581no—
1674C42—1581no—
1675C42—1581no—
1676C42C2×C22⋊D7911yescharacteristic
1677C42C2×C22⋊D7911yescharacteristic
1678C42C23×D7911yescharacteristic
1679C42C23×D7911yescharacteristic
1680C23—21no—
1681C23—22no—
1682C23—21no—
1683C23—21no—
1684C23—41no—
1685C23—41no—
1686C23—41no—
1687C23—41no—
1688C23—41no—
1689C23—42no—
1690C23—42no—
1691C23—42no—
1692C23—42no—
1693C23—81no—
1694C23—81no—
1695C23—1581no—
1696C23C22×C22⋊D7911yescharacteristic
1697C23C22×C22⋊D7911yescharacteristic
1698C23C22×C22⋊D7911yescharacteristic
1699C23C22×C22⋊D7911yescharacteristic
1700C23C22×C22⋊D7911yescharacteristic
1701Q8—21no—
1702Q8—21no—
1703Q8—21no—
1704Q8—21no—
1705Q8—21no—
1706Q8—42no—
1707Q8—42no—
1708Q8—3162no—
1709Q8—6321no—
1710Q8—6321no—
1711Q8—1581no—
1712Q8—1581no—
1713Q8—1581no—
1714Q8—1581no—
1715Q8—1581no—
1716Q8—1581no—
1717Q8#1457920612yes—
1718D4—24no—
1719D4—22no—
1720D4—22no—
1721D4—21no—
1722D4—21no—
1723D4—21no—
1724D4—21no—
1725D4—21no—
1726D4—41no—
1727D4—41no—
1728D4—42no—
1729D4—42no—
1730D4—42no—
1731D4—42no—
1732D4—42no—
1733D4—42no—
1734D4—42no—
1735D4—42no—
1736D4—42no—
1737D4—42no—
1738D4—42no—
1739D4—81no—
1740D4—81no—
1741D4—81no—
1742D4—3162no—
1743D4—3162no—
1744D4—3162no—
1745D4—6321no—
1746D4—6321no—
1747D4—1581no—
1748D4—1581no—
1749D4#1457920612yes—
1750C2×C4—24no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—41no—
1767C2×C4—41no—
1768C2×C4—41no—
1769C2×C4—41no—
1770C2×C4—41no—
1771C2×C4—41no—
1772C2×C4—41no—
1773C2×C4—41no—
1774C2×C4—42no—
1775C2×C4—42no—
1776C2×C4—42no—
1777C2×C4—42no—
1778C2×C4—42no—
1779C2×C4—42no—
1780C2×C4—42no—
1781C2×C4—42no—
1782C2×C4—42no—
1783C2×C4—81no—
1784C2×C4—3162no—
1785C2×C4—3162no—
1786C2×C4—3162no—
1787C2×C4—6321no—
1788C2×C4—6321no—
1789C2×C4—6321no—
1790C2×C4—6321no—
1791C2×C4—1581no—
1792C2×C4—1581no—
1793C2×C4—1581no—
1794C2×C4—1581no—
1795C2×C4—1581no—
1796C2×C4—1581no—
1797C2×C4—1581no—
1798C2×C4C22×C22⋊D7911yescharacteristic
1799C2×C4C22×C22⋊D7911yescharacteristic
1800C2×C4C22×C22⋊D7911yescharacteristic
1801C2×C4C22×C22⋊D7911yescharacteristic
1802C2×C4C22×C22⋊D7911yescharacteristic
1803C2×C4C22×C22⋊D7911yescharacteristic
1804C2×C4C22×C22⋊D7911yescharacteristic
1805C2×C4C22×C22⋊D7911yescharacteristic
1806C2×C4C22×C22⋊D7911yescharacteristic
1807C2×C4C24×D7911yescharacteristic
1808C8—1581no—
1809C8—1581no—
1810C8—1581no—
1811C8—1581no—
1812C8—1581no—
1813C8—1581no—
1814C8—1581no—
1815C8—1581no—
1816C22—21no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—22no—
1821C22—21no—
1822C22—21no—
1823C22—21no—
1824C22—21no—
1825C22—21no—
1826C22—21no—
1827C22—21no—
1828C22—21no—
1829C22—21no—
1830C22—21no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—82no—
1840C22—84no—
1841C22—82no—
1842C22—84no—
1843C22—3161no—
1844C22—3161no—
1845C22—3161no—
1846C22#1909936112yes—
1847C22C23×C22⋊D7911yescharacteristic
1848C4—21no—
1849C4—22no—
1850C4—21no—
1851C4—21no—
1852C4—21no—
1853C4—21no—
1854C4—21no—
1855C4—21no—
1856C4—21no—
1857C4—21no—
1858C4—41no—
1859C4—41no—
1860C4—41no—
1861C4—41no—
1862C4—3161no—
1863C4—3161no—
1864C4—3161no—
1865C4—3161no—
1866C4—3161no—
1867C4—3161no—
1868C4—3161no—
1869C4C2×#1457920611yescharacteristic
1870C4C2×#1457920611yescharacteristic
1871C2—22no—
1872C2—41no—
1873C2—41no—
1874C2—41no—
1875C2—41no—
1876C2—42no—
1877C2—81no—
1878C2—81no—
1879C2—6321no—
1880C2#2377703511yescharacteristic
1881C2C2×#1909936111yescharacteristic
1882C2#2377818611yescharacteristic
subgroupG/H
centerC22C23×C22⋊D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingD4×#41×C79C2
socleC22×C79C23×D4
hypercenterD4×#41D79
hypocenterC79#61580
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ D4×#41

Complements

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

NH ≅ G/Ntype
1. #23777449C2semidirect
2. #23775526C2semidirect
3. #23775496C2semidirect
4. #23775466C2semidirect
5. #23775451C2semidirect
6. #23775436C2semidirect
7. #23775421C2semidirect
8. #23775391C2semidirect
9. #23775361C2semidirect
10. #23774981C2semidirect
11. #23774971C2semidirect
12. #23774966C2semidirect
13. #23774956C2semidirect
14. #23774951C2semidirect
15. #23774921C2semidirect
16. #23774906C2semidirect
17. #23774891C2semidirect
18. #23774437C2semidirect
19. #23774411C2semidirect
20. #23774237C2semidirect
21. #23774226C2semidirect
22. #23774188C2semidirect
23. #23774177C2semidirect
24. #23773562C2semidirect
25. #23773509C2semidirect
26. #23772660C2semidirect
27. #23772642C2semidirect
28. #23772618C2semidirect
29. C2×#19098725C2semidirect
30. #23772429C2semidirect
31. D4×#41×C79C2semidirect
32. C2×#14579192C22semidirect
33. C2×#14579191C22semidirect
34. C2×#14579191C22semidirect
35. C2×#14579187C22semidirect
36. C2×#14579181C22semidirect
37. C2×#14579181C22semidirect
38. C22×#11929614C22semidirect
39. C22×#11929612C22semidirect
40. #19099283C22semidirect
43. #19099253C22semidirect
46. D4×Dic158C22semidirect
48. #19099222C22semidirect
49. #19099218C22semidirect
50. #19099217C22semidirect
55. #19099120C22semidirect
56. #19099097C22semidirect
57. #19099074C22semidirect
58. #19099074C22semidirect
59. C2×#14579140C22semidirect
60. C2×#14579140C22semidirect
62. #19098958C22semidirect
63. #19098958C22semidirect
64. #19098955C22semidirect
65. #19098950C22semidirect
66. #19098931C22semidirect
67. #19098927C22semidirect
68. #19098922C22semidirect
69. #19098922C22semidirect
70. #19098904C22semidirect
71. #19098904C22semidirect
72. #19098904C22semidirect
73. #19098901C22semidirect
74. #19098901C22semidirect
75. #19098896C22semidirect
76. #19098891C22semidirect
77. #19098887C22semidirect
78. #19098884C22semidirect
79. #19098884C22semidirect
80. #19098879C22semidirect
81. #19098874C22semidirect
82. #19098870C22semidirect
83. #19098863C22semidirect
84. #19098858C22semidirect
85. #19098853C22semidirect
86. #19098819C22semidirect
87. #19098819C22semidirect
88. #19098819C22semidirect
89. #19098814C22semidirect
90. #19098811C22semidirect
91. #19098807C22semidirect
92. #19098807C22semidirect
93. #19098807C22semidirect
94. #19098802C22semidirect
95. #19098802C22semidirect
96. #19098802C22semidirect
97. #19098797C22semidirect
98. #19098794C22semidirect
99. #19098790C22semidirect
100. #19098790C22semidirect
101. #19098790C22semidirect
102. #19098785C22semidirect
103. #19098782C22semidirect
104. #19098782C22semidirect
105. #19098778C22semidirect
106. #19098775C22semidirect
107. #19098775C22semidirect
108. #19098773C22semidirect
109. #19098770C22semidirect
110. #19098770C22semidirect
111. #19098768C22semidirect
112. #19098760C22semidirect
113. #19098760C22semidirect
117. #19098725C22semidirect
118. #19098725C22semidirect
119. #19098725C22semidirect
120. #19098725C22semidirect
121. #19098725C22semidirect
122. #19098725C22semidirect
123. #19098725C22semidirect
124. #19098725C22semidirect
125. #19098725C22semidirect
126. #19098725C22semidirect
127. #19098725C22semidirect
128. #19098725C22semidirect
129. #19098723C22semidirect
130. #19098723C22semidirect
131. #19098719C22semidirect
132. #19098719C22semidirect
133. #19098719C22semidirect
134. #19098718C22semidirect
135. #19098718C22semidirect
136. #19098714C22semidirect
137. #19098714C22semidirect
138. #19098714C22semidirect
140. #19098708C22semidirect
141. #19098708C22semidirect
142. #19098708C22semidirect
143. #19098708C22semidirect
144. #19098706C22semidirect
145. #19098706C22semidirect
146. #19098702C22semidirect
147. #19098701C22semidirect
148. #19098701C22semidirect
149. #19098697C22semidirect
150. #19098673C22semidirect
151. #19098668C22semidirect
152. #19098668C22semidirect
153. #19098668C22semidirect
154. #19098663C22semidirect
155. #19098663C22semidirect
156. #19098663C22semidirect
157. #19098661C22semidirect
160. #19098635C22semidirect
161. #19098635C22semidirect
162. #19098635C22semidirect
163. #19098635C22semidirect
164. #19098635C22semidirect
165. #19098635C22semidirect
166. #19098620C22semidirect
167. #19098620C22semidirect
168. #19098572C22semidirect
169. #19098568C22semidirect
170. #19098564C22semidirect
171. #19098564C22semidirect
172. #19098559C22semidirect
173. #19098559C22semidirect
174. C2×#14579085C22semidirect
175. C2×#14579082C22semidirect
176. #19098527C22semidirect
177. #19098527C22semidirect
178. C2×C22⋊(C79⋊C8)C22semidirect
179. C2×C22⋊(C79⋊C8)C22semidirect
943. D4×#41D79semidirect
973. C79#61580semidirect

Maximal subgroups

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

subgroupindex
#237774492
#237755262
#237754962
#237754662
#237754512
#237754362
#237754212
#237753912
#237753612
#237749812
#237749712
#237749662
#237749562
#237749512
#237749212
#237749062
#237748912
#237744372
#237744112
#237742372
#237742262
#237741882
#237741772
#237735622
#237735092
#237726602
#237726422
#237726182
C2×#190987252
#237724292
D4×#41×C792
#6158079