Finite Group Databasebeta

← #35181537

Subgroups — #35181537

Order 20224.

1966 conjugacy classes of subgroups.

The subgroup lattice has 1856 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777732C211yesmaximal, characteristic, complemented
2#23777335C211yesmaximal, characteristic, complemented
3#23776488C211yesmaximal, characteristic, complemented
4#23776443C211yesmaximal, characteristic, complemented
5#23776152C211yesmaximal, characteristic, complemented
6#23776106C211yesmaximal, characteristic, complemented
7#23775539C211yesmaximal, characteristic, complemented
8#23775417C211yesmaximal, characteristic, complemented
9#23775407C211yesmaximal, characteristic, complemented
10#23775233C211yesmaximal, characteristic, complemented
11#23775207C211yesmaximal, characteristic, complemented
12#23775081C211yesmaximal, characteristic, complemented
13#23775070C211yesmaximal, characteristic, complemented
14#23774933C211yesmaximal, characteristic, complemented
15#23774887C211yesmaximal, characteristic, complemented
16#23774885C211yesmaximal, characteristic, complemented
17#23774877C211yesmaximal, characteristic, complemented
18#23774836C211yesmaximal, characteristic, complemented
19#23774810C211yesmaximal, characteristic, complemented
20#23774748C211yesmaximal, characteristic, complemented
21#23774495C211yesmaximal, characteristic, complemented
22#23774448C211yesmaximal, characteristic, complemented
23#23774416C211yesmaximal, characteristic, complemented
24#23773642C211yesmaximal, characteristic, complemented
25#23773594C211yesmaximal, characteristic, complemented
26#23773541C211yesmaximal, characteristic, complemented
27#23772938C211yesmaximal, characteristic, complemented
28#23772901C211yesmaximal, characteristic, complemented
29C2×#19098757C211yesmaximal, characteristic, complemented
30#23772540C211yesmaximal, characteristic, complemented
31C79×#3306C211yesmaximal, characteristic, complemented
32C2×#14579189C2211yescharacteristic, complemented
33C2×#14579188C2211yescharacteristic, complemented
34C2×#14579181C2211yescharacteristic, complemented
35C22×D632C2211yescharacteristic, complemented
36C22×#11929609C2211yescharacteristic, complemented
37C2×D8×D79C2211yescharacteristic, complemented
38#19099303—21no—
39#19099301—21no—
40#19099296C2211yescharacteristic, complemented
41#19099295C2211yescharacteristic, complemented
42#19099274C2211yescharacteristic, complemented
43#19099261C2211yescharacteristic, complemented
44#19099258—21no—
45#19099248C2211yescharacteristic, complemented
46#19099240—21no—
47#19099236—21no—
48#19099234C2211yescharacteristic, complemented
49#19099232C2211yescharacteristic, complemented
50#19099210C2211yescharacteristic, complemented
51#19099209C2211yescharacteristic, complemented
52#19099204C2211yescharacteristic
53#19099203—21no—
54#19099201—21no—
55D4×D316C2211yescharacteristic, complemented
56#19099197C2211yescharacteristic, complemented
57#19099197C2211yescharacteristic, complemented
58D4×C22⋊D79C2211yescharacteristic
59#19099195—21no—
60#19099187C2211yescharacteristic, complemented
61#19099166C2211yescharacteristic, complemented
62#19099166C2211yescharacteristic, complemented
63#19099165—21no—
64#19099164C2211yescharacteristic, complemented
65#19099159—21no—
66#19099149—21no—
67#19099131C2211yescharacteristic, complemented
68#19099129—21no—
69#19099127C2211yescharacteristic, complemented
70#19099125—21no—
71#19099123—21no—
72C2×#14579157C2211yescharacteristic, complemented
73#19099099C2211yescharacteristic, complemented
74#19099094C2211yescharacteristic, complemented
75#19099093C2211yescharacteristic
76#19099070—21no—
77#123×D79—21no—
78#19099044C2211yescharacteristic, complemented
79#19099035C2211yescharacteristic, complemented
80C2×#14579123C2211yescharacteristic, complemented
81#19098952C2211yescharacteristic, complemented
82#19098951C2211yescharacteristic, complemented
83#19098951C2211yescharacteristic, complemented
84#19098949C2211yescharacteristic, complemented
85#19098945C2211yescharacteristic, complemented
86#19098938C2211yescharacteristic, complemented
87#19098926C2211yescharacteristic, complemented
88#19098926C2211yescharacteristic, complemented
89#19098926C2211yescharacteristic, complemented
90#19098919C2211yescharacteristic, complemented
91#19098911C2211yescharacteristic, complemented
92#19098889C2211yescharacteristic, complemented
93#19098886C2211yescharacteristic, complemented
94#19098876C2211yescharacteristic, complemented
95#19098876C2211yescharacteristic, complemented
96#19098873C2211yescharacteristic, complemented
97#19098868C2211yescharacteristic, complemented
98#19098865C2211yescharacteristic, complemented
99#19098865C2211yescharacteristic, complemented
100#19098862C2211yescharacteristic, complemented
101#19098862C2211yescharacteristic, complemented
102#19098862C2211yescharacteristic, complemented
103#19098862C2211yescharacteristic, complemented
104#19098840C2211yescharacteristic, complemented
105#19098817C2211yescharacteristic, complemented
106#19098816C2211yescharacteristic, complemented
107#19098808C2211yescharacteristic, complemented
108#19098802C2211yescharacteristic, complemented
109#19098798C2211yescharacteristic, complemented
110#19098797C2211yescharacteristic
111#19098797C2211yescharacteristic, complemented
112#19098797C2211yescharacteristic, complemented
113#19098793C2211yescharacteristic, complemented
114#19098792C2211yescharacteristic, complemented
115#19098788C2211yescharacteristic, complemented
116#19098788C2211yescharacteristic, complemented
117#19098783C2211yescharacteristic, complemented
118#19098781C2211yescharacteristic, complemented
119#19098781C2211yescharacteristic, complemented
120#19098781C2211yescharacteristic, complemented
121#19098780C2211yescharacteristic, complemented
122#19098779C2211yescharacteristic, complemented
123#19098778C2211yescharacteristic, complemented
124#19098777C2211yescharacteristic, complemented
125#19098775C2211yescharacteristic, complemented
126#19098762C2211yescharacteristic, complemented
127#19098762C2211yescharacteristic, complemented
128#19098762C2211yescharacteristic, complemented
129#19098759C2211yescharacteristic, complemented
130#19098758C2211yescharacteristic, complemented
131#19098757C2211yescharacteristic
132#19098757C2211yescharacteristic, complemented
133#19098757C2211yescharacteristic, complemented
134#19098757C2211yescharacteristic, complemented
135#19098757C2211yescharacteristic, complemented
136#19098757C2211yescharacteristic, complemented
137#19098757C2211yescharacteristic, complemented
138#19098757C2211yescharacteristic, complemented
139#19098757C2211yescharacteristic, complemented
140#19098757C2211yescharacteristic, complemented
141#19098756C2211yescharacteristic, complemented
142#19098756C2211yescharacteristic, complemented
143#19098756C2211yescharacteristic, complemented
144#19098728C2211yescharacteristic, complemented
145#19098716C2211yescharacteristic, complemented
146#19098715C2211yescharacteristic, complemented
147#19098714C2211yescharacteristic, complemented
148#19098713C2211yescharacteristic, complemented
149#19098711C2211yescharacteristic, complemented
150#19098710C2211yescharacteristic, complemented
151#19098708C2211yescharacteristic, complemented
152#19098706C2211yescharacteristic, complemented
153#19098699C2211yescharacteristic
154#19098699C2211yescharacteristic, complemented
155#19098698C2211yescharacteristic, complemented
156#19098698C2211yescharacteristic, complemented
157#19098696C2211yescharacteristic, complemented
158#19098696C2211yescharacteristic, complemented
159#19098695C2211yescharacteristic, complemented
160#19098691C2211yescharacteristic, complemented
161#19098690C2211yescharacteristic, complemented
162#19098676C2211yescharacteristic, complemented
163#19098674C2211yescharacteristic, complemented
164#19098674C2211yescharacteristic, complemented
165#19098674C2211yescharacteristic, complemented
166#19098666C2211yescharacteristic, complemented
167#19098666C2211yescharacteristic, complemented
168#19098660C2211yescharacteristic, complemented
169#19098650C2211yescharacteristic, complemented
170C4×#11929609C2211yescharacteristic, complemented
171C4×#11929609C2211yescharacteristic, complemented
172#19098643C2211yescharacteristic, complemented
173#19098634C2211yescharacteristic, complemented
174#19098632C2211yescharacteristic, complemented
175#19098631C2211yescharacteristic, complemented
176D4×C79⋊C8C2211yescharacteristic, complemented
177(C22⋊D79)⋊C8C2211yescharacteristic, complemented
178#19098625C2211yescharacteristic, complemented
179#19098621C2211yescharacteristic, complemented
180#19098617C2211yescharacteristic, complemented
181#19098591C2211yescharacteristic, complemented
182#19098588C2211yescharacteristic, complemented
183C2×Dic79⋊C8C2211yescharacteristic, complemented
184#19098566C2211yescharacteristic, complemented
185#19098558C2211yescharacteristic, complemented
186C2×#14579081C2211yescharacteristic, complemented
187C2×#14579081C2211yescharacteristic, complemented
188#547×C79C2211yescharacteristic, complemented
189#546×C79C2211yescharacteristic, complemented
190#489×C79C2211yescharacteristic, complemented
191#483×C79C2211yescharacteristic, complemented
192#481×C79C2211yescharacteristic, complemented
193#476×C79C2211yescharacteristic, complemented
194#469×C79C2211yescharacteristic, complemented
195#465×C79C2211yescharacteristic, complemented
196#463×C79C2211yescharacteristic, complemented
197#449×C79C2211yescharacteristic, complemented
198#447×C79C2211yescharacteristic, complemented
199#442×C79C2211yescharacteristic, complemented
200#435×C79C2211yescharacteristic, complemented
201#417×C79C2211yescharacteristic, complemented
202C2×#102×C79C2211yescharacteristic, complemented
203C2×#11929625C2311yescharacteristic
204C2×#11929624—21no—
205C2×#11929624C2311yescharacteristic
206C22×D316C2311yescharacteristic
207C22×D316C2311yescharacteristic
208C22×D316C2311yescharacteristic
209C22×C22⋊D79—21no—
210C22×C22⋊D79—21no—
211C22×C22⋊D79—21no—
212C2×D4×D79—21no—
213C2×D4×D79—21no—
214C2×D4×D79—21no—
215C2×D4×D79C2311yescharacteristic
216C2×D4×D79C2311yescharacteristic
217C22×C4×D79—21no—
218#14579189—42no—
219#14579188—42no—
220#14579181—42no—
221C2×#11929614C2311yescharacteristic
222C2×#11929613C2311yescharacteristic
223C2×#11929613C2311yescharacteristic
224C2×#11929613C2311yescharacteristic
225C2×#11929612C2311yescharacteristic
226C2×#11929612C2311yescharacteristic
227C2×#11929611C2311yescharacteristic
228C2×#11929611C2311yescharacteristic
229C2×D632—42no—
230C2×D632C2311yescharacteristic
231C2×D632C2311yescharacteristic
232C2×D632C2311yescharacteristic
233C2×D632C2311yescharacteristic
234C2×D632C2311yescharacteristic
235C2×D632C2311yescharacteristic
236C2×#11929609—42no—
237C2×#11929609C2311yescharacteristic
238C2×#11929609C2311yescharacteristic
239C2×#11929609C2311yescharacteristic
240C2×#11929609C2311yescharacteristic
241C2×#11929609C2311yescharacteristic
242C2×#11929609C2311yescharacteristic
243C2×#11929609C2311yescharacteristic
244D8×D79—42no—
245C2×#11929607C2311yescharacteristic
246C22×C79⋊C8C2311yescharacteristic
247C22×C79⋊C8C2311yescharacteristic
248C2×C8×D79C2311yescharacteristic
249#14579158C2311yescharacteristic
250#14579157—21no—
251#14579157—21no—
252#14579157—21no—
253#14579157C2311yescharacteristic
254#14579157C2311yescharacteristic
255#14579157C2311yescharacteristic
256#14579157C2311yescharacteristic
257#14579157C2311yescharacteristic
258#14579157C2311yescharacteristic
259#14579156—21no—
260#14579156—21no—
261#14579156—21no—
262#14579156—21no—
263#14579156D411yescharacteristic
264#14579154—21no—
265#14579154D411yescharacteristic
266#14579152C2311yescharacteristic
267#14579152C2311yescharacteristic
268#14579152C2311yescharacteristic
269#14579151—21no—
270#14579151D411yescharacteristic
271#14579150—21no—
272#14579150C2311yescharacteristic
273#14579150C2311yescharacteristic
274#14579149C2311yescharacteristic
275#14579148C2311yescharacteristic
276#14579147—21no—
277#14579147—21no—
278#14579147D411yescharacteristic
279#14579146—21no—
280#14579146—21no—
281#14579146—21no—
282#14579146—21no—
283#14579145—21no—
284#14579145—21no—
285#14579145—21no—
286#14579145—21no—
287#14579145D411yescharacteristic
288#14579144—21no—
289#14579144—21no—
290#14579144—21no—
291#14579143—21no—
292#14579143—21no—
293#14579143—21no—
294#14579143—21no—
295#14579143—21no—
296#14579143—21no—
297#14579142—21no—
298#14579142D411yescharacteristic
299#14579141—21no—
300#14579141C2311yescharacteristic
301#14579140C2311yescharacteristic
302#14579138D411yescharacteristic
303#14579137—21no—
304#14579137—21no—
305#14579137—21no—
306#14579136—21no—
307#14579136—21no—
308#14579136C2311yescharacteristic
309#14579136C2311yescharacteristic
310#14579135—21no—
311#14579135—21no—
312#14579135—21no—
313#14579135—21no—
314#14579135—21no—
315#14579135—21no—
316#14579135C2311yescharacteristic
317#14579135C2311yescharacteristic
318#14579135C2311yescharacteristic
319#14579134—21no—
320#14579134—21no—
321#14579134—21no—
322#14579134—21no—
323#14579134—21no—
324#14579134—21no—
325#14579134—21no—
326#14579134—21no—
327#14579133—21no—
328#14579133—21no—
329#14579133—21no—
330#14579133D411yescharacteristic
331#14579132—21no—
332#14579132—21no—
333#14579132—21no—
334#14579132—21no—
335#14579132C2311yescharacteristic
336#14579131—21no—
337#14579131—21no—
338#14579131—21no—
339#14579131—21no—
340#14579131—21no—
341#14579131—21no—
342#14579131—21no—
343#14579130—21no—
344#14579129—21no—
345#14579129—21no—
346#14579129—21no—
347#14579129—21no—
348#14579129—21no—
349#14579129—21no—
350#14579129—21no—
351Q8×Dic79C2311yescharacteristic
352C4×Dic158C2311yescharacteristic
353#14579126C2311yescharacteristic
354#14579126C2311yescharacteristic
355C4×D316C2311yescharacteristic
356C4×D316C2311yescharacteristic
357D4×Dic79—21no—
358D4×Dic79C2311yescharacteristic
359D4×Dic79C2311yescharacteristic
360#14579123—21no—
361#14579123—21no—
362#14579123C2311yescharacteristic
363#14579123C2311yescharacteristic
364#14579123C2311yescharacteristic
365#14579123C2311yescharacteristic
366#14579123C2311yescharacteristic
367#14579123C2311yescharacteristic
368#14579123C2311yescharacteristic
369C4×C22⋊D79—21no—
370C4×C22⋊D79—21no—
371C4×C22⋊D79—21no—
372C4×C22⋊D79—21no—
373C4×C22⋊D79—21no—
374C4×C22⋊D79—21no—
375C4×C22⋊D79C2311yescharacteristic
376C4×C22⋊D79C2311yescharacteristic
377(C22⋊D79)⋊C4—21no—
378(C22⋊D79)⋊C4—21no—
379(C22⋊D79)⋊C4—21no—
380#14579120—21no—
381#14579120C2311yescharacteristic
382#14579119—21no—
383#14579119—21no—
384#14579119C2311yescharacteristic
385#14579118C2311yescharacteristic
386#14579117—21no—
387C4⋊C4×D79—21no—
388C4⋊C4×D79—21no—
389C2×(C2×D79)⋊C4—21no—
390C2×(C2×D79)⋊C4—21no—
391C22⋊C4×D79—21no—
392C22⋊C4×D79—21no—
393C22⋊C4×D79—21no—
394C22⋊C4×D79—21no—
395C2×C4×Dic79C2311yescharacteristic
396#14579094C2311yescharacteristic
397#14579094C2311yescharacteristic
398#14579094C2311yescharacteristic
399#14579094C2311yescharacteristic
400#14579093C2311yescharacteristic
401C4⋊(C79⋊C8)C2311yescharacteristic
402Dic79⋊C8C2311yescharacteristic
403Dic79⋊C8C2311yescharacteristic
404Dic79⋊C8C2311yescharacteristic
405Dic79⋊C8C2311yescharacteristic
406Dic79⋊C8C2311yescharacteristic
407Dic79⋊C8C2311yescharacteristic
408Dic79⋊C8C2311yescharacteristic
409Dic79⋊C8C2311yescharacteristic
410#14579086C2311yescharacteristic
411#14579085C2311yescharacteristic
412#14579084C2311yescharacteristic
413#14579083C2311yescharacteristic
414#14579083C2311yescharacteristic
415#14579083C2311yescharacteristic
416#14579083C2311yescharacteristic
417#14579083C2311yescharacteristic
418#14579082C2311yescharacteristic
419#14579082C2311yescharacteristic
420#14579082C2311yescharacteristic
421#14579081C2311yescharacteristic
422#14579081C2311yescharacteristic
423#14579081C2311yescharacteristic
424#14579081C2311yescharacteristic
425#14579081C2311yescharacteristic
426#14579081C2311yescharacteristic
427#14579081C2311yescharacteristic
428#14579081C2311yescharacteristic
429#14579081C2311yescharacteristic
430#14579081C2311yescharacteristic
431#14579081C2311yescharacteristic
432C22⋊(C79⋊C8)C2311yescharacteristic
433C22⋊(C79⋊C8)C2311yescharacteristic
434(C2×D79)⋊C8C2311yescharacteristic
435(C2×D79)⋊C8C2311yescharacteristic
436#14579071C2311yescharacteristic
437#14579071C2311yescharacteristic
438#14579071C2311yescharacteristic
439C4×C79⋊C8C2311yescharacteristic
440C8×Dic79C2311yescharacteristic
441C2×#41×C79—21no—
442C2×#41×C79C2311yescharacteristic
443C22×D4×C79C2311yescharacteristic
444C2×SD16×C79C2311yescharacteristic
445C2×D8×C79C2311yescharacteristic
446C2×D8×C79C2311yescharacteristic
447C2×M16×C79C2311yescharacteristic
448C22×C8×C79C2311yescharacteristic
449C4⋊Q8×C79C2311yescharacteristic
450#124×C79C2311yescharacteristic
451#123×C79—21no—
452#123×C79—21no—
453#123×C79—21no—
454C22⋊Q8×C79—21no—
455C22⋊Q8×C79C2311yescharacteristic
456#121×C79—21no—
457#121×C79C2311yescharacteristic
458#121×C79C2311yescharacteristic
459#121×C79C2311yescharacteristic
460#120×C79—21no—
461C4×D4×C79C2311yescharacteristic
462C4×D4×C79C2311yescharacteristic
463C4×D4×C79C2311yescharacteristic
464C2×C4⋊C4×C79C2311yescharacteristic
465C2×C4⋊C4×C79C2311yescharacteristic
466C2×C22⋊C4×C79—21no—
467#106×C79C2311yescharacteristic
468#106×C79C2311yescharacteristic
469#106×C79C2311yescharacteristic
470C4⋊C8×C79C2311yescharacteristic
471#103×C79C2311yescharacteristic
472#103×C79C2311yescharacteristic
473#103×C79C2311yescharacteristic
474#102×C79C2311yescharacteristic
475#102×C79C2311yescharacteristic
476#102×C79C2311yescharacteristic
477#102×C79C2311yescharacteristic
478#102×C79C2311yescharacteristic
479#102×C79C2311yescharacteristic
480#102×C79C2311yescharacteristic
481C22⋊C8×C79C2311yescharacteristic
482C22⋊C8×C79C2311yescharacteristic
483#97×C79C2311yescharacteristic
484C23×D79—21no—
485C23×D79—21no—
486C23×D79—21no—
487C23×D79—21no—
488C23×D79—21no—
489#11929625—41no—
490#11929625—41no—
491#11929624—22no—
492#11929624—41no—
493#11929624—82no—
494C2×Dic158C2×D411yescharacteristic
495C2×Dic158C2411yescharacteristic
496C2×D316—21no—
497C2×D316—21no—
498C2×D316—21no—
499C2×D316—22no—
500C2×D316—21no—
501C2×D316—21no—
502C2×D316—21no—
503C2×D316—21no—
504C2×D316—21no—
505C2×D316—41no—
506C2×D316—41no—
507C2×D316—41no—
508C2×D316—41no—
509C2×D316—41no—
510C2×D316C2411yescharacteristic
511C2×D316C2411yescharacteristic
512C2×D316C2411yescharacteristic
513C2×D316C2411yescharacteristic
514C2×D316C2411yescharacteristic
515C2×C22⋊D79—21no—
516C2×C22⋊D79—21no—
517C2×C22⋊D79—21no—
518C2×C22⋊D79—21no—
519C2×C22⋊D79—21no—
520C2×C22⋊D79—21no—
521C2×C22⋊D79—21no—
522C2×C22⋊D79—21no—
523C2×C22⋊D79—21no—
524C2×C22⋊D79—21no—
525C2×C22⋊D79—21no—
526C2×C22⋊D79—21no—
527C2×C22⋊D79—21no—
528C2×C22⋊D79—21no—
529C2×C22⋊D79—21no—
530C2×C22⋊D79—21no—
531C2×C22⋊D79—21no—
532C2×C22⋊D79—21no—
533C2×C22⋊D79—21no—
534C2×C22⋊D79—82no—
535C2×C22⋊D79—82no—
536C2×C22⋊D79—82no—
537C2×C22⋊D79C2×D411yescharacteristic
538C2×C22⋊D79C2×D411yescharacteristic
539D4×D79—22no—
540D4×D79—41no—
541D4×D79—41no—
542D4×D79—41no—
543D4×D79—82no—
544D4×D79—82no—
545D4×D79—82no—
546C22×Dic79—21no—
547C22×Dic79—21no—
548C22×Dic79C2×D411yescharacteristic
549C22×Dic79C2×D411yescharacteristic
550C2×C4×D79—21no—
551C2×C4×D79—21no—
552C2×C4×D79—21no—
553C2×C4×D79—21no—
554C2×C4×D79—21no—
555C2×C4×D79—21no—
556C2×C4×D79—21no—
557C2×C4×D79—21no—
558C2×C4×D79—21no—
559C2×C4×D79—21no—
560C2×C4×D79—21no—
561C2×C4×D79—82no—
562C2×C4×D79C2411yescharacteristic
563#11929614—41no—
564#11929613—41no—
565#11929613—41no—
566#11929613—41no—
567#11929612—41no—
568#11929612—41no—
569#11929611—22no—
570#11929611—41no—
571D632—22no—
572D632—22no—
573D632—22no—
574D632—41no—
575D632—41no—
576D632—41no—
577#11929609—22no—
578#11929609—22no—
579#11929609—41no—
580#11929609—41no—
581#11929609—41no—
582#11929609—41no—
583#11929609—41no—
584#11929607—41no—
585C2×C79⋊C8—41no—
586C2×C79⋊C8—41no—
587C2×C79⋊C8C2411yescharacteristic
588C2×C79⋊C8C2411yescharacteristic
589C2×C79⋊C8C2411yescharacteristic
590C2×C79⋊C8C2411yescharacteristic
591C8×D79—41no—
592C4⋊Dic79—21no—
593C4⋊Dic79—21no—
594C4⋊Dic79—21no—
595C4⋊Dic79—21no—
596C4⋊Dic79—21no—
597C4⋊Dic79C2×D411yescharacteristic
598C4⋊Dic79C2×D411yescharacteristic
599C4⋊Dic79C2×D411yescharacteristic
600C4⋊Dic79C2411yescharacteristic
601C4⋊Dic79C2411yescharacteristic
602Dic79⋊C4—21no—
603Dic79⋊C4—21no—
604Dic79⋊C4—21no—
605Dic79⋊C4—21no—
606Dic79⋊C4—21no—
607Dic79⋊C4—21no—
608Dic79⋊C4C2×D411yescharacteristic
609Dic79⋊C4C2×D411yescharacteristic
610Dic79⋊C4C2×D411yescharacteristic
611Dic79⋊C4C2×D411yescharacteristic
612Dic79⋊C4C2×D411yescharacteristic
613Dic79⋊C4C2×D411yescharacteristic
614C22⋊Dic79—21no—
615C22⋊Dic79—21no—
616C22⋊Dic79—21no—
617C22⋊Dic79—21no—
618C22⋊Dic79—21no—
619C22⋊Dic79—21no—
620C22⋊Dic79C2×D411yescharacteristic
621C22⋊Dic79C2×D411yescharacteristic
622C22⋊Dic79C2×D411yescharacteristic
623C22⋊Dic79C2×D411yescharacteristic
624(C2×D79)⋊C4—21no—
625(C2×D79)⋊C4—21no—
626(C2×D79)⋊C4—21no—
627(C2×D79)⋊C4—21no—
628(C2×D79)⋊C4—21no—
629(C2×D79)⋊C4—21no—
630(C2×D79)⋊C4—21no—
631(C2×D79)⋊C4—21no—
632(C2×D79)⋊C4—21no—
633(C2×D79)⋊C4—21no—
634(C2×D79)⋊C4—21no—
635(C2×D79)⋊C4—21no—
636(C2×D79)⋊C4—21no—
637(C2×D79)⋊C4—21no—
638(C2×D79)⋊C4—21no—
639(C2×D79)⋊C4—21no—
640(C2×D79)⋊C4—21no—
641(C2×D79)⋊C4—21no—
642(C2×D79)⋊C4—21no—
643(C2×D79)⋊C4—21no—
644(C2×D79)⋊C4—21no—
645(C2×D79)⋊C4—21no—
646(C2×D79)⋊C4C2×D411yescharacteristic
647(C2×D79)⋊C4C2×D411yescharacteristic
648(C2×D79)⋊C4C2×D411yescharacteristic
649(C2×D79)⋊C4C2×D411yescharacteristic
650C4×Dic79—21no—
651C4×Dic79—21no—
652C4×Dic79—21no—
653C4×Dic79—21no—
654C4×Dic79C2×D411yescharacteristic
655C4×Dic79C2×D411yescharacteristic
656C4×Dic79C2411yescharacteristic
657C4×Dic79C2411yescharacteristic
658C4×Dic79C2411yescharacteristic
659C24×C79—21no—
660#41×C79—41no—
661#41×C79—41no—
662#41×C79—82no—
663C2×Q8×C79—21no—
664C2×Q8×C79C2411yescharacteristic
665C2×D4×C79—21no—
666C2×D4×C79—21no—
667C2×D4×C79—21no—
668C2×D4×C79—21no—
669C2×D4×C79—21no—
670C2×D4×C79—41no—
671C2×D4×C79—41no—
672C2×D4×C79C2×D411yescharacteristic
673C2×D4×C79C2411yescharacteristic
674C2×D4×C79C2411yescharacteristic
675C2×D4×C79C2411yescharacteristic
676C22×C4×C79—21no—
677C22×C4×C79—21no—
678C22×C4×C79—21no—
679C22×C4×C79—21no—
680C22×C4×C79—21no—
681C22×C4×C79C2411yescharacteristic
682C22×C4×C79C2411yescharacteristic
683SD16×C79—41no—
684D8×C79—41no—
685D8×C79—41no—
686M16×C79—41no—
687C2×C8×C79—41no—
688C2×C8×C79C2411yescharacteristic
689C2×C8×C79C2411yescharacteristic
690C2×C8×C79C2411yescharacteristic
691C2×C8×C79C2411yescharacteristic
692C4⋊C4×C79—21no—
693C4⋊C4×C79—21no—
694C4⋊C4×C79—21no—
695C4⋊C4×C79—21no—
696C4⋊C4×C79C2×D411yescharacteristic
697C4⋊C4×C79C2411yescharacteristic
698C4⋊C4×C79C2411yescharacteristic
699C4⋊C4×C79C2411yescharacteristic
700C4⋊C4×C79C2411yescharacteristic
701C22⋊C4×C79—21no—
702C22⋊C4×C79—21no—
703C22⋊C4×C79—21no—
704C22⋊C4×C79—21no—
705C22⋊C4×C79—21no—
706C22⋊C4×C79—21no—
707C22⋊C4×C79—21no—
708C22⋊C4×C79—21no—
709C22⋊C4×C79C2×D411yescharacteristic
710C22⋊C4×C79C2×D411yescharacteristic
711C42×C79C2411yescharacteristic
712C23×C79—21no—
713C23×C79—21no—
714C23×C79—21no—
715C23×C79—42no—
716C23×C79—81no—
717C23×C79—81no—
718C23×C79C22×D411yescharacteristic
719C23×C79C22×D411yescharacteristic
720C22×D79—21no—
721C22×D79—21no—
722C22×D79—21no—
723C22×D79—21no—
724C22×D79—21no—
725C22×D79—42no—
726C22×D79—42no—
727C22×D79—42no—
728C22×D79—42no—
729C22×D79—81no—
730C22×D79—81no—
731C22×D79—81no—
732C22×D79—81no—
733C22×D79—81no—
734C22×D79—81no—
735C22×D79—81no—
736C22×D79—81no—
737C22×D79—81no—
738C22×D79—81no—
739C22×D79—81no—
740C22×D79C22×D411yescharacteristic
741Q8×C79—21no—
742Q8×C79—21no—
743Q8×C79—81no—
744D4×C79—22no—
745D4×C79—21no—
746D4×C79—21no—
747D4×C79—21no—
748D4×C79—21no—
749D4×C79—21no—
750D4×C79—21no—
751D4×C79—42no—
752D4×C79—81no—
753D4×C79—81no—
754D4×C79—81no—
755D4×C79—81no—
756C2×C4×C79—21no—
757C2×C4×C79—21no—
758C2×C4×C79—21no—
759C2×C4×C79—21no—
760C2×C4×C79—21no—
761C2×C4×C79—21no—
762C2×C4×C79—21no—
763C2×C4×C79—21no—
764C2×C4×C79—21no—
765C2×C4×C79—42no—
766C2×C4×C79—81no—
767C2×C4×C79—81no—
768C2×C4×C79—81no—
769C2×C4×C79—81no—
770C2×C4×C79C22×D411yescharacteristic
771C2×C4×C79C22×D411yescharacteristic
772C2×C4×C79C22×D411yescharacteristic
773C2×C4×C79C22×D411yescharacteristic
774C2×C4×C79C2511yescharacteristic
775C22⋊D79—22no—
776C22⋊D79—41no—
777C22⋊D79—42no—
778C22⋊D79—42no—
779C22⋊D79—42no—
780C22⋊D79—42no—
781C22⋊D79—42no—
782C22⋊D79—81no—
783C22⋊D79—81no—
784C22⋊D79—81no—
785C22⋊D79—81no—
786C22⋊D79—81no—
787C22⋊D79—81no—
788C22⋊D79—81no—
789C22⋊D79—81no—
790C22⋊D79—81no—
791C22⋊D79—81no—
792C22⋊D79—81no—
793C22⋊D79—81no—
794C22⋊D79—81no—
795C22⋊D79—81no—
796C2×Dic79—22no—
797C2×Dic79—21no—
798C2×Dic79—21no—
799C2×Dic79—21no—
800C2×Dic79—41no—
801C2×Dic79—81no—
802C2×Dic79—81no—
803C2×Dic79C22×D411yescharacteristic
804C2×Dic79C22×D411yescharacteristic
805C2×Dic79C22×D411yescharacteristic
806C2×Dic79C22×D411yescharacteristic
807C2×Dic79C22×D411yescharacteristic
808C2×Dic79C22×D411yescharacteristic
809C2×Dic79C22×D411yescharacteristic
810D316—21no—
811D316—21no—
812D316—21no—
813D316—21no—
814D316—21no—
815D316—21no—
816D316—21no—
817D316—21no—
818D316—21no—
819D316—42no—
820D316—81no—
821D316—81no—
822D316—81no—
823D316—81no—
824D316—81no—
825D316—81no—
826D316—81no—
827D316H(5,𝔽2)12yes—
828C4×D79—21no—
829C4×D79—21no—
830C4×D79—42no—
831C4×D79—42no—
832C4×D79—81no—
833C4×D79—81no—
834C4×D79—81no—
835C4×D79—81no—
836C4×D79—81no—
837C4×D79—81no—
838C4×D79—81no—
839C4×D79—81no—
840C4×D79—81no—
841Dic158—21no—
842Dic158—21no—
843Dic158—41no—
844C8×C79—21no—
845C8×C79—21no—
846C8×C79—21no—
847C8×C79—21no—
848C79⋊C8—21no—
849C79⋊C8—21no—
850C79⋊C8—21no—
851C79⋊C8—21no—
852C22×C79—21no—
853C22×C79—21no—
854C22×C79—21no—
855C22×C79—21no—
856C22×C79—21no—
857C22×C79—41no—
858C22×C79—41no—
859C22×C79—41no—
860C22×C79—41no—
861C22×C79—41no—
862C22×C79—41no—
863C22×C79—41no—
864C22×C79—41no—
865C22×C79—41no—
866C22×C79—162no—
867C22×C79#57612yes—
868C22×C79C23×D411yescharacteristic
869C2×D79—21no—
870C2×D79—22no—
871C2×D79—21no—
872C2×D79—21no—
873C2×D79—41no—
874C2×D79—41no—
875C2×D79—41no—
876C2×D79—41no—
877C2×D79—41no—
878C2×D79—41no—
879C2×D79—41no—
880C2×D79—41no—
881C2×D79—41no—
882C2×D79—41no—
883C2×D79—41no—
884C2×D79—41no—
885C2×D79—41no—
886C2×D79—41no—
887C2×D79—84no—
888C2×D79—162no—
889C2×D79—162no—
890C2×D79—162no—
891C2×D79—162no—
892C4×C79—21no—
893C4×C79—21no—
894C4×C79—21no—
895C4×C79—21no—
896C4×C79—41no—
897C4×C79—41no—
898C4×C79—41no—
899C4×C79—41no—
900C4×C79—41no—
901C4×C79C2×H(5,𝔽2)11yescharacteristic
902C4×C79#58511yescharacteristic
903Dic79—21no—
904Dic79—21no—
905Dic79—21no—
906Dic79—21no—
907Dic79—21no—
908Dic79—21no—
909Dic79—21no—
910Dic79—41no—
911Dic79—41no—
912Dic79—41no—
913#62007—791nomaximal, Sylow
914C2×C79—22no—
915C2×C79—41no—
916C2×C79—81no—
917C2×C79—81no—
918C2×C79—81no—
919C2×C79#348811yescharacteristic
920C2×C79C2×#57611yescharacteristic
921C2×C79#358511yescharacteristic
922D79—41no—
923D79—42no—
924D79—81no—
925D79—81no—
926D79—81no—
927D79—81no—
928#3543—791no—
929#3513—791no—
930#3403—791no—
931#3399—791no—
932#3370—791no—
933#3366—791no—
934#3318—791no—
935#3310—791no—
936#3309—791no—
937#3306D7911yescharacteristic, complemented
938#3296—791no—
939#3294—791no—
940#3280—791no—
941D4×D8—791no—
942#3268—791no—
943#3264—791no—
944#3264—791no—
945#3264—791no—
946#3259—791no—
947#3257—791no—
948#3250—791no—
949#3224—791no—
950#3220—791no—
951#3217—791no—
952#3122—791no—
953#3119—791no—
954#3114—791no—
955#3045—791no—
956#3041—791no—
957C2×#459—791no—
958#2992—791no—
959C79#6200711yescharacteristic, complemented, Sylow
960C2×AGL(1,ℤ/8)—791no—
961C2×AGL(1,ℤ/8)—791no—
962C2×#135—791no—
963C22×D8—791no—
964C22×D8—791no—
965C22×D8—791no—
966#560—1581no—
967#560—1581no—
968#559—791no—
969#559—791no—
970#554—791no—
971#553—791no—
972#553—1581no—
973#552—791no—
974#551—1581no—
975#551—1581no—
976#550—791no—
977#550—791no—
978#547C2×D7911yescharacteristic, complemented
979#546—791no—
980#546—791no—
981#546—791no—
982#546—1581no—
983#546—1581no—
984#546C2×D7911yescharacteristic, complemented
985D42—791no—
986D42—791no—
987D42—791no—
988D42—791no—
989D42—1581no—
990#542—791no—
991#540—791no—
992#540—791no—
993#540—791no—
994#540—1581no—
995#539—1581no—
996#538—1581no—
997#535—791no—
998#535—791no—
999#535—1581no—
1000#534—1581no—
1001#534—1581no—
1002C2×#127—791no—
1003#529—791no—
1004#529—791no—
1005#529—791no—
1006#525—1581no—
1007C2×#123—1581no—
1008#520—791no—
1009#518—791no—
1010C2×C4×D4—791no—
1011#496—791no—
1012#496—791no—
1013#496—791no—
1014#496—791no—
1015#495—791no—
1016#493—791no—
1017#490—791no—
1018#490—791no—
1019#490—791no—
1020#489C2×D7911yescharacteristic, complemented
1021#488—791no—
1022#486—791no—
1023#483C2×D7911yescharacteristic, complemented
1024#482—791no—
1025#482—791no—
1026#481C2×D7911yescharacteristic, complemented
1027#480—791no—
1028#480—791no—
1029#479—791no—
1030#479—791no—
1031#478—791no—
1032#478—791no—
1033#478—791no—
1034#478—791no—
1035#478—791no—
1036#478—791no—
1037#476C2×D7911yescharacteristic, complemented
1038#474—791no—
1039#469—791no—
1040#469—791no—
1041#469C2×D7911yescharacteristic, complemented
1042#468—791no—
1043#467—791no—
1044#466—791no—
1045#466—791no—
1046#466—791no—
1047#466—791no—
1048#465—791no—
1049#465—791no—
1050#465C2×D7911yescharacteristic, complemented
1051#464—791no—
1052#464—791no—
1053#464—791no—
1054#463—791no—
1055#463—791no—
1056#463—791no—
1057#463—791no—
1058#463—791no—
1059#463—791no—
1060#463—791no—
1061#463—791no—
1062#463C2×D7911yescharacteristic, complemented
1063#460—791no—
1064#460—791no—
1065#460—791no—
1066#459—791no—
1067#459—791no—
1068#459—791no—
1069#459—791no—
1070#459—791no—
1071#459—791no—
1072#459—791no—
1073#459—791no—
1074#459—791no—
1075#459—791no—
1076#459—791no—
1077#459—791no—
1078#459—791no—
1079#459—791no—
1080#459—791no—
1081#452—791no—
1082#450—791no—
1083#450—791no—
1084#450—791no—
1085#450—791no—
1086#449—791no—
1087#449—791no—
1088#449—791no—
1089#449—791no—
1090#449C2×D7911yescharacteristic, complemented
1091#447—791no—
1092#447—791no—
1093#447—791no—
1094#447—791no—
1095#447—791no—
1096#447—791no—
1097#447—791no—
1098#447C2×D7911yescharacteristic, complemented
1099#446—791no—
1100#446—791no—
1101#442—791no—
1102#442—791no—
1103#442—791no—
1104#442—791no—
1105#442C2×D7911yescharacteristic, complemented
1106#440—791no—
1107#440—791no—
1108#440—791no—
1109C4×SD16—791no—
1110C4×D8—791no—
1111C4×D8—791no—
1112C4×D8—791no—
1113#435—791no—
1114#435—791no—
1115#435—791no—
1116#435C2×D7911yescharacteristic, complemented
1117C8×D4—791no—
1118C8×D4—791no—
1119#433—791no—
1120#433—791no—
1121#432—791no—
1122#424—791no—
1123#424—791no—
1124C2×C4⋊C8—791no—
1125#418—791no—
1126#417C2×D7911yescharacteristic, complemented
1127#416—791no—
1128C2×#102—791no—
1129C2×#102—791no—
1130C2×#102C2×D7911yescharacteristic, complemented
1131C2×#41—21no—
1132C2×#41—791no—
1133C2×#41—791no—
1134C2×#41—1581no—
1135C2×#41C22×D7911yescharacteristic
1136C22×D4—791no—
1137C22×D4—791no—
1138C22×D4—791no—
1139C22×D4—791no—
1140C22×D4—791no—
1141C22×D4—1581no—
1142C22×D4—1581no—
1143C22×D4—1581no—
1144C22×D4—1581no—
1145C22×D4—1581no—
1146C22×D4—1581no—
1147C22×D4C22×D7911yescharacteristic
1148C23×C4—1581no—
1149AGL(1,ℤ/8)—3162no—
1150AGL(1,ℤ/8)—3162no—
1151#135—3162no—
1152C2×Q16—791no—
1153C2×SD16—791no—
1154C2×SD16—791no—
1155C2×SD16—791no—
1156C2×SD16—791no—
1157C2×SD16—791no—
1158C2×SD16—791no—
1159C2×SD16—791no—
1160C2×SD16C22×D7911yescharacteristic
1161C2×D8—3162no—
1162C2×D8—3162no—
1163C2×D8—3162no—
1164C2×D8—791no—
1165C2×D8—791no—
1166C2×D8—791no—
1167C2×D8—791no—
1168C2×D8—791no—
1169C2×D8—791no—
1170C2×D8—791no—
1171C2×D8—791no—
1172C2×D8—791no—
1173C2×D8—791no—
1174C2×D8—791no—
1175C2×D8—791no—
1176C2×D8—791no—
1177C2×D8C22×D7911yescharacteristic
1178C2×D8C22×D7911yescharacteristic
1179C2×M16—791no—
1180C2×M16C22×D7911yescharacteristic
1181C22×C8—791no—
1182C22×C8—791no—
1183C22×C8—791no—
1184C22×C8C22×D7911yescharacteristic
1185C4⋊Q8C22×D7911yescharacteristic
1186#127—791no—
1187#127—791no—
1188#127—791no—
1189#127—791no—
1190#127—791no—
1191#127—791no—
1192#127—791no—
1193#127—1581no—
1194#127—1581no—
1195#127—1581no—
1196#126—791no—
1197#126—791no—
1198#126—1581no—
1199#126—1581no—
1200#126—1581no—
1201#126—1581no—
1202#126—1581no—
1203#125—791no—
1204#125—791no—
1205#125—791no—
1206#125—791no—
1207#125—1581no—
1208#124—791no—
1209#124—791no—
1210#124—791no—
1211#124—791no—
1212#124—791no—
1213#124—1581no—
1214#124—1581no—
1215#124—1581no—
1216#124C22×D7911yescharacteristic
1217#123—21no—
1218#123—21no—
1219#123—21no—
1220#123—791no—
1221#123—791no—
1222#123—1581no—
1223#123—1581no—
1224#123—1581no—
1225#123—1581no—
1226#123—1581no—
1227#123—1581no—
1228#123—1581no—
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#123—1581no—
1238#123—1581no—
1239#123—1581no—
1240C22⋊Q8—21no—
1241C22⋊Q8—791no—
1242C22⋊Q8—791no—
1243C22⋊Q8—791no—
1244C22⋊Q8—1581no—
1245C22⋊Q8—1581no—
1246C22⋊Q8—1581no—
1247C22⋊Q8—1581no—
1248C22⋊Q8C22×D7911yescharacteristic
1249#121—21no—
1250#121—791no—
1251#121—791no—
1252#121—791no—
1253#121—791no—
1254#121—791no—
1255#121—791no—
1256#121—791no—
1257#121—1581no—
1258#121—1581no—
1259#121—1581no—
1260#121—1581no—
1261#121—1581no—
1262#121—1581no—
1263#121—1581no—
1264#121—1581no—
1265#121—1581no—
1266#121—1581no—
1267#121—1581no—
1268#121—1581no—
1269#121—1581no—
1270#121—1581no—
1271#121—1581no—
1272#121—1581no—
1273#121—1581no—
1274#121—1581no—
1275#121—1581no—
1276#121—1581no—
1277#121—1581no—
1278#121—1581no—
1279#121—1581no—
1280#121C22×D7911yescharacteristic
1281#121C22×D7911yescharacteristic
1282#121C22×D7911yescharacteristic
1283#120—21no—
1284#120—1581no—
1285#120—1581no—
1286#120—1581no—
1287#120—1581no—
1288#120—1581no—
1289#120—1581no—
1290#120—1581no—
1291#120—1581no—
1292#120—1581no—
1293#120—1581no—
1294#120—1581no—
1295#120—1581no—
1296#120—1581no—
1297#120—1581no—
1298#120—1581no—
1299C4×Q8—791no—
1300C4×Q8—791no—
1301C4×Q8—791no—
1302C4×Q8—791no—
1303C4×D4—791no—
1304C4×D4—791no—
1305C4×D4—791no—
1306C4×D4—791no—
1307C4×D4—791no—
1308C4×D4—791no—
1309C4×D4—791no—
1310C4×D4—791no—
1311C4×D4—791no—
1312C4×D4—791no—
1313C4×D4—791no—
1314C4×D4—791no—
1315C4×D4—791no—
1316C4×D4—1581no—
1317C4×D4—1581no—
1318C4×D4—1581no—
1319C4×D4—1581no—
1320C4×D4—1581no—
1321C4×D4—1581no—
1322C4×D4—1581no—
1323C4×D4—1581no—
1324C4×D4—1581no—
1325C4×D4—1581no—
1326C4×D4—1581no—
1327C4×D4—1581no—
1328C4×D4C22×D7911yescharacteristic
1329C4×D4C22×D7911yescharacteristic
1330C4×D4C22×D7911yescharacteristic
1331#117—791no—
1332#117—791no—
1333#117—791no—
1334#117—1581no—
1335#117—1581no—
1336#117—1581no—
1337#117—1581no—
1338C2×C4⋊C4—1581no—
1339C2×C4⋊C4—1581no—
1340C2×C4⋊C4C22×D7911yescharacteristic
1341C2×C4⋊C4C22×D7911yescharacteristic
1342C2×C22⋊C4—21no—
1343C2×C22⋊C4—1581no—
1344C2×C22⋊C4—1581no—
1345C2×C22⋊C4—1581no—
1346C2×C22⋊C4—1581no—
1347C2×C22⋊C4—1581no—
1348C2×C22⋊C4—1581no—
1349C2×C42—791no—
1350#107—791no—
1351#107—791no—
1352#107—791no—
1353#107—791no—
1354#106—791no—
1355#106C22×D7911yescharacteristic
1356#106C22×D7911yescharacteristic
1357#106C22×D7911yescharacteristic
1358C4⋊C8—791no—
1359C4⋊C8—791no—
1360C4⋊C8—791no—
1361C4⋊C8—791no—
1362C4⋊C8—791no—
1363C4⋊C8—791no—
1364C4⋊C8—791no—
1365C4⋊C8—791no—
1366C4⋊C8—791no—
1367C4⋊C8C22×D7911yescharacteristic
1368#103—791no—
1369#103—791no—
1370#103—791no—
1371#103C22×D7911yescharacteristic
1372#103C22×D7911yescharacteristic
1373#103C22×D7911yescharacteristic
1374#102—791no—
1375#102—791no—
1376#102—791no—
1377#102—791no—
1378#102—791no—
1379#102—791no—
1380#102—791no—
1381#102—791no—
1382#102—791no—
1383#102—791no—
1384#102—791no—
1385#102—791no—
1386#102—791no—
1387#102—791no—
1388#102—791no—
1389#102—791no—
1390#102—791no—
1391#102—791no—
1392#102—791no—
1393#102C22×D7911yescharacteristic
1394#102C22×D7911yescharacteristic
1395#102C22×D7911yescharacteristic
1396#102C22×D7911yescharacteristic
1397#102C22×D7911yescharacteristic
1398#102C22×D7911yescharacteristic
1399#102C22×D7911yescharacteristic
1400C22⋊C8—791no—
1401C22⋊C8—791no—
1402C22⋊C8—791no—
1403C22⋊C8—791no—
1404C22⋊C8C22×D7911yescharacteristic
1405C22⋊C8C22×D7911yescharacteristic
1406#97—791no—
1407#97—791no—
1408#97—791no—
1409#97C22×D7911yescharacteristic
1410C4×C8—791no—
1411C4×C8—791no—
1412C24—21no—
1413C24—1581no—
1414C24—1581no—
1415C24—1581no—
1416C24—1581no—
1417C24—1581no—
1418#41—41no—
1419#41—41no—
1420#41—82no—
1421#41—3161no—
1422#41—3161no—
1423#41—3161no—
1424#41—6322no—
1425#41—1582no—
1426C2×Q8—21no—
1427C2×Q8—791no—
1428C2×Q8—791no—
1429C2×Q8C23×D7911yescharacteristic
1430C2×D4—21no—
1431C2×D4—21no—
1432C2×D4—21no—
1433C2×D4—21no—
1434C2×D4—21no—
1435C2×D4—41no—
1436C2×D4—41no—
1437C2×D4—3161no—
1438C2×D4—3161no—
1439C2×D4—3161no—
1440C2×D4—3161no—
1441C2×D4—3161no—
1442C2×D4—3161no—
1443C2×D4—3161no—
1444C2×D4—3161no—
1445C2×D4—791no—
1446C2×D4—791no—
1447C2×D4—791no—
1448C2×D4—791no—
1449C2×D4—791no—
1450C2×D4—791no—
1451C2×D4—791no—
1452C2×D4—6322no—
1453C2×D4—6322no—
1454C2×D4—6322no—
1455C2×D4—6322no—
1456C2×D4—6322no—
1457C2×D4—6322no—
1458C2×D4—1582no—
1459C2×D4—1581no—
1460C2×D4—1581no—
1461C2×D4—1581no—
1462C2×D4—1581no—
1463C2×D4—1581no—
1464C2×D4—1581no—
1465C2×D4—1581no—
1466C2×D4—1581no—
1467C2×D4—1581no—
1468C2×D4—1581no—
1469C2×D4—1581no—
1470C2×D4—1581no—
1471C2×D4—1581no—
1472C2×D4—1581no—
1473C2×D4—1581no—
1474C2×D4—1581no—
1475C2×D4—1581no—
1476C2×D4—1582no—
1477C2×D4—1581no—
1478C2×D4—1581no—
1479C2×D4—1581no—
1480C2×D4—1581no—
1481C2×D4—1581no—
1482C2×D4—1581no—
1483C2×D4—1581no—
1484C2×D4—1581no—
1485C2×D4—1581no—
1486C2×D4—1581no—
1487C2×D4D4×D7911yescharacteristic
1488C2×D4C23×D7911yescharacteristic
1489C2×D4C23×D7911yescharacteristic
1490C2×D4C23×D7911yescharacteristic
1491C22×C4—21no—
1492C22×C4—21no—
1493C22×C4—21no—
1494C22×C4—21no—
1495C22×C4—21no—
1496C22×C4—791no—
1497C22×C4—791no—
1498C22×C4—791no—
1499C22×C4—6322no—
1500C22×C4—1581no—
1501C22×C4—1581no—
1502C22×C4—1581no—
1503C22×C4—1581no—
1504C22×C4—1581no—
1505C22×C4—1581no—
1506C22×C4—1581no—
1507C22×C4—1581no—
1508C22×C4—1581no—
1509C22×C4—1581no—
1510C22×C4—1581no—
1511C22×C4—1581no—
1512C22×C4—1581no—
1513C22×C4C23×D7911yescharacteristic
1514C22×C4C23×D7911yescharacteristic
1515Q16—3161no—
1516SD16—41no—
1517SD16—3161no—
1518SD16—3161no—
1519SD16—3161no—
1520SD16—3161no—
1521SD16—3161no—
1522SD16—3161no—
1523SD16—1582no—
1524D8—41no—
1525D8—41no—
1526D8—3161no—
1527D8—3161no—
1528D8—3161no—
1529D8—3161no—
1530D8—3161no—
1531D8—3161no—
1532D8—3161no—
1533D8—3161no—
1534D8—1582no—
1535D8—1582no—
1536D8—1582no—
1537D8—1582no—
1538D8—1582no—
1539M16—41no—
1540M16—3161no—
1541C2×C8—41no—
1542C2×C8—3161no—
1543C2×C8—3161no—
1544C2×C8—3161no—
1545C2×C8—791no—
1546C2×C8—791no—
1547C2×C8—791no—
1548C2×C8—791no—
1549C2×C8C23×D7911yescharacteristic
1550C2×C8C23×D7911yescharacteristic
1551C2×C8C23×D7911yescharacteristic
1552C2×C8C23×D7911yescharacteristic
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—21no—
1557C4⋊C4—791no—
1558C4⋊C4—791no—
1559C4⋊C4—791no—
1560C4⋊C4—791no—
1561C4⋊C4—791no—
1562C4⋊C4—791no—
1563C4⋊C4—791no—
1564C4⋊C4—791no—
1565C4⋊C4—791no—
1566C4⋊C4—791no—
1567C4⋊C4—791no—
1568C4⋊C4—1581no—
1569C4⋊C4—1581no—
1570C4⋊C4—1581no—
1571C4⋊C4—1581no—
1572C4⋊C4—1581no—
1573C4⋊C4—1581no—
1574C4⋊C4—1581no—
1575C4⋊C4—1581no—
1576C4⋊C4—1581no—
1577C4⋊C4—1581no—
1578C4⋊C4—1581no—
1579C4⋊C4D4×D7911yescharacteristic
1580C4⋊C4C23×D7911yescharacteristic
1581C4⋊C4C23×D7911yescharacteristic
1582C4⋊C4C23×D7911yescharacteristic
1583C4⋊C4C23×D7911yescharacteristic
1584C22⋊C4—21no—
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—21no—
1591C22⋊C4—21no—
1592C22⋊C4—791no—
1593C22⋊C4—791no—
1594C22⋊C4—791no—
1595C22⋊C4—791no—
1596C22⋊C4—791no—
1597C22⋊C4—791no—
1598C22⋊C4—791no—
1599C22⋊C4—791no—
1600C22⋊C4—1581no—
1601C22⋊C4—1581no—
1602C22⋊C4—1581no—
1603C22⋊C4—1581no—
1604C22⋊C4—1581no—
1605C22⋊C4—1581no—
1606C22⋊C4—1581no—
1607C22⋊C4—1581no—
1608C22⋊C4—1581no—
1609C22⋊C4—1581no—
1610C22⋊C4—1581no—
1611C22⋊C4—1581no—
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⋊C4D4×D7911yescharacteristic
1629C22⋊C4D4×D7911yescharacteristic
1630C42—791no—
1631C42—791no—
1632C42—791no—
1633C42—791no—
1634C42—791no—
1635C42—1581no—
1636C42—1581no—
1637C42—1581no—
1638C42—1581no—
1639C42C23×D7911yescharacteristic
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—42no—
1644C23—81no—
1645C23—81no—
1646C23—3162no—
1647C23—3162no—
1648C23—3162no—
1649C23—3162no—
1650C23—791no—
1651C23—6321no—
1652C23—6321no—
1653C23—6321no—
1654C23—6321no—
1655C23—6321no—
1656C23—6321no—
1657C23—6321no—
1658C23—6321no—
1659C23—6321no—
1660C23—6321no—
1661C23—6321no—
1662C23—1581no—
1663C23—1581no—
1664C23—1581no—
1665C23—1581no—
1666C23—1581no—
1667C23C2×D4×D7911yescharacteristic
1668C23C2×D4×D7911yescharacteristic
1669Q8—21no—
1670Q8—21no—
1671Q8—81no—
1672Q8—3161no—
1673Q8—1581no—
1674Q8—1581no—
1675D4—22no—
1676D4—21no—
1677D4—21no—
1678D4—21no—
1679D4—21no—
1680D4—21no—
1681D4—21no—
1682D4—42no—
1683D4—81no—
1684D4—81no—
1685D4—81no—
1686D4—81no—
1687D4—3162no—
1688D4—3162no—
1689D4—3162no—
1690D4—3161no—
1691D4—3162no—
1692D4—3162no—
1693D4—3162no—
1694D4—792no—
1695D4—6321no—
1696D4—6321no—
1697D4—6321no—
1698D4—6321no—
1699D4—6321no—
1700D4—6321no—
1701D4—6321no—
1702D4—6321no—
1703D4—6321no—
1704D4—6321no—
1705D4—6321no—
1706D4—6321no—
1707D4—6321no—
1708D4—6321no—
1709D4—6321no—
1710D4—6321no—
1711D4—6321no—
1712D4—6321no—
1713D4—6321no—
1714D4—6321no—
1715D4—6321no—
1716D4—1582no—
1717D4—1581no—
1718D4—1581no—
1719D4—1581no—
1720D4—1581no—
1721D4—1581no—
1722D4—1581no—
1723D4—1581no—
1724D4—1581no—
1725D4—1581no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—42no—
1736C2×C4—81no—
1737C2×C4—81no—
1738C2×C4—81no—
1739C2×C4—81no—
1740C2×C4—3162no—
1741C2×C4—3162no—
1742C2×C4—3161no—
1743C2×C4—791no—
1744C2×C4—791no—
1745C2×C4—791no—
1746C2×C4—791no—
1747C2×C4—791no—
1748C2×C4—791no—
1749C2×C4—791no—
1750C2×C4—6321no—
1751C2×C4—6321no—
1752C2×C4—6321no—
1753C2×C4—6321no—
1754C2×C4—6321no—
1755C2×C4—6321no—
1756C2×C4—6321no—
1757C2×C4—6321no—
1758C2×C4—6321no—
1759C2×C4—6321no—
1760C2×C4—6321no—
1761C2×C4—1581no—
1762C2×C4—1581no—
1763C2×C4—1581no—
1764C2×C4—1582no—
1765C2×C4—1581no—
1766C2×C4—1581no—
1767C2×C4C2×D4×D7911yescharacteristic
1768C2×C4C2×D4×D7911yescharacteristic
1769C2×C4C2×D4×D7911yescharacteristic
1770C2×C4C2×D4×D7911yescharacteristic
1771C2×C4C24×D7911yescharacteristic
1772C8—21no—
1773C8—21no—
1774C8—21no—
1775C8—21no—
1776C8—1581no—
1777C8—1581no—
1778C8—1581no—
1779C8—1581no—
1780C22—21no—
1781C22—21no—
1782C22—21no—
1783C22—21no—
1784C22—21no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—162no—
1795C22—3161no—
1796C22—3161no—
1797C22—3161no—
1798C22—3161no—
1799C22—3161no—
1800C22—3161no—
1801C22—3161no—
1802C22—3161no—
1803C22—3161no—
1804C22—3161no—
1805C22—3161no—
1806C22—3161no—
1807C22—3161no—
1808C22—3161no—
1809C22—6324no—
1810C22—1582no—
1811C22—1581no—
1812C22—1581no—
1813C22—1581no—
1814C22—12642no—
1815C22—12642no—
1816C22—12642no—
1817C22—12642no—
1818C22#1909936712yes—
1819C22C22×D4×D7911yescharacteristic
1820C4—21no—
1821C4—21no—
1822C4—21no—
1823C4—21no—
1824C4—41no—
1825C4—41no—
1826C4—41no—
1827C4—41no—
1828C4—41no—
1829C4—3161no—
1830C4—3161no—
1831C4—3161no—
1832C4—1581no—
1833C4—1581no—
1834C4—1581no—
1835C4—1581no—
1836C4—1581no—
1837C4—1581no—
1838C4—1581no—
1839C4H(5,𝔽2)×D7911yescharacteristic
1840C4#1909939911yescharacteristic
1841C2—22no—
1842C2—41no—
1843C2—81no—
1844C2—81no—
1845C2—81no—
1846C2—3162no—
1847C2—3161no—
1848C2—6321no—
1849C2—6321no—
1850C2—6321no—
1851C2—6321no—
1852C2#2377706311yescharacteristic
1853C2C2×#1909936711yescharacteristic
1854C2#2377817811yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3306C2
socleC22×C79C23×D4
hypercenter#3306D79
hypocenterC79#62007
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3306

Complements

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

NH ≅ G/Ntype
1. #23777732C2semidirect
2. #23777335C2semidirect
3. #23776488C2semidirect
4. #23776443C2semidirect
5. #23776152C2semidirect
6. #23776106C2semidirect
7. #23775539C2semidirect
8. #23775417C2semidirect
9. #23775407C2semidirect
10. #23775233C2semidirect
11. #23775207C2semidirect
12. #23775081C2semidirect
13. #23775070C2semidirect
14. #23774933C2semidirect
15. #23774887C2semidirect
16. #23774885C2semidirect
17. #23774877C2semidirect
18. #23774836C2semidirect
19. #23774810C2semidirect
20. #23774748C2semidirect
21. #23774495C2semidirect
22. #23774448C2semidirect
23. #23774416C2semidirect
24. #23773642C2semidirect
25. #23773594C2semidirect
26. #23773541C2semidirect
27. #23772938C2semidirect
28. #23772901C2semidirect
29. C2×#19098757C2semidirect
30. #23772540C2semidirect
31. C79×#3306C2semidirect
32. C2×#14579189C22semidirect
33. C2×#14579188C22semidirect
34. C2×#14579181C22semidirect
35. C22×D632C22semidirect
36. C22×#11929609C22semidirect
37. C2×D8×D79C22semidirect
40. #19099296C22semidirect
41. #19099295C22semidirect
42. #19099274C22semidirect
43. #19099261C22semidirect
45. #19099248C22semidirect
48. #19099234C22semidirect
49. #19099232C22semidirect
50. #19099210C22semidirect
51. #19099209C22semidirect
55. D4×D316C22semidirect
56. #19099197C22semidirect
57. #19099197C22semidirect
60. #19099187C22semidirect
61. #19099166C22semidirect
62. #19099166C22semidirect
64. #19099164C22semidirect
67. #19099131C22semidirect
69. #19099127C22semidirect
72. C2×#14579157C22semidirect
73. #19099099C22semidirect
74. #19099094C22semidirect
78. #19099044C22semidirect
79. #19099035C22semidirect
80. C2×#14579123C22semidirect
81. #19098952C22semidirect
82. #19098951C22semidirect
83. #19098951C22semidirect
84. #19098949C22semidirect
85. #19098945C22semidirect
86. #19098938C22semidirect
87. #19098926C22semidirect
88. #19098926C22semidirect
89. #19098926C22semidirect
90. #19098919C22semidirect
91. #19098911C22semidirect
92. #19098889C22semidirect
93. #19098886C22semidirect
94. #19098876C22semidirect
95. #19098876C22semidirect
96. #19098873C22semidirect
97. #19098868C22semidirect
98. #19098865C22semidirect
99. #19098865C22semidirect
100. #19098862C22semidirect
101. #19098862C22semidirect
102. #19098862C22semidirect
103. #19098862C22semidirect
104. #19098840C22semidirect
105. #19098817C22semidirect
106. #19098816C22semidirect
107. #19098808C22semidirect
108. #19098802C22semidirect
109. #19098798C22semidirect
111. #19098797C22semidirect
112. #19098797C22semidirect
113. #19098793C22semidirect
114. #19098792C22semidirect
115. #19098788C22semidirect
116. #19098788C22semidirect
117. #19098783C22semidirect
118. #19098781C22semidirect
119. #19098781C22semidirect
120. #19098781C22semidirect
121. #19098780C22semidirect
122. #19098779C22semidirect
123. #19098778C22semidirect
124. #19098777C22semidirect
125. #19098775C22semidirect
126. #19098762C22semidirect
127. #19098762C22semidirect
128. #19098762C22semidirect
129. #19098759C22semidirect
130. #19098758C22semidirect
132. #19098757C22semidirect
133. #19098757C22semidirect
134. #19098757C22semidirect
135. #19098757C22semidirect
136. #19098757C22semidirect
137. #19098757C22semidirect
138. #19098757C22semidirect
139. #19098757C22semidirect
140. #19098757C22semidirect
141. #19098756C22semidirect
142. #19098756C22semidirect
143. #19098756C22semidirect
144. #19098728C22semidirect
145. #19098716C22semidirect
146. #19098715C22semidirect
147. #19098714C22semidirect
148. #19098713C22semidirect
149. #19098711C22semidirect
150. #19098710C22semidirect
151. #19098708C22semidirect
152. #19098706C22semidirect
154. #19098699C22semidirect
155. #19098698C22semidirect
156. #19098698C22semidirect
157. #19098696C22semidirect
158. #19098696C22semidirect
159. #19098695C22semidirect
160. #19098691C22semidirect
161. #19098690C22semidirect
162. #19098676C22semidirect
163. #19098674C22semidirect
164. #19098674C22semidirect
165. #19098674C22semidirect
166. #19098666C22semidirect
167. #19098666C22semidirect
168. #19098660C22semidirect
169. #19098650C22semidirect
170. C4×#11929609C22semidirect
171. C4×#11929609C22semidirect
172. #19098643C22semidirect
173. #19098634C22semidirect
174. #19098632C22semidirect
175. #19098631C22semidirect
176. D4×C79⋊C8C22semidirect
177. (C22⋊D79)⋊C8C22semidirect
178. #19098625C22semidirect
179. #19098621C22semidirect
180. #19098617C22semidirect
181. #19098591C22semidirect
182. #19098588C22semidirect
183. C2×Dic79⋊C8C22semidirect
184. #19098566C22semidirect
185. #19098558C22semidirect
186. C2×#14579081C22semidirect
187. C2×#14579081C22semidirect
188. #547×C79C22semidirect
189. #546×C79C22semidirect
190. #489×C79C22semidirect
191. #483×C79C22semidirect
192. #481×C79C22semidirect
193. #476×C79C22semidirect
194. #469×C79C22semidirect
195. #465×C79C22semidirect
196. #463×C79C22semidirect
197. #449×C79C22semidirect
198. #447×C79C22semidirect
199. #442×C79C22semidirect
200. #435×C79C22semidirect
201. #417×C79C22semidirect
202. C2×#102×C79C22semidirect
937. #3306D79semidirect
959. C79#62007semidirect
978. #547C2×D79semidirect
984. #546C2×D79semidirect
1020. #489C2×D79semidirect
1023. #483C2×D79semidirect
1026. #481C2×D79semidirect
1037. #476C2×D79semidirect
1041. #469C2×D79semidirect
1050. #465C2×D79semidirect
1062. #463C2×D79semidirect
1090. #449C2×D79semidirect
1098. #447C2×D79semidirect
1105. #442C2×D79semidirect
1116. #435C2×D79semidirect
1126. #417C2×D79semidirect
1130. C2×#102C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237777322
#237773352
#237764882
#237764432
#237761522
#237761062
#237755392
#237754172
#237754072
#237752332
#237752072
#237750812
#237750702
#237749332
#237748872
#237748852
#237748772
#237748362
#237748102
#237747482
#237744952
#237744482
#237744162
#237736422
#237735942
#237735412
#237729382
#237729012
C2×#190987572
#237725402
C79×#33062
#6200779