Finite Group Databasebeta

← #35173733

Subgroups — #35173733

Order 20224.

2138 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777241C211yesmaximal, characteristic, complemented
2#41×C22⋊D79C211yesmaximal, characteristic, complemented
3#23775661C211yesmaximal, characteristic, complemented
4#23775609C211yesmaximal, characteristic, complemented
5#23775567C211yesmaximal, characteristic, complemented
6#23775537C211yesmaximal, characteristic, complemented
7#23775519C211yesmaximal, characteristic, complemented
8#23775489C211yesmaximal, characteristic, complemented
9#23775298C211yesmaximal, characteristic, complemented
10#23775246C211yesmaximal, characteristic, complemented
11#23775141C211yesmaximal, characteristic, complemented
12#23775107C211yesmaximal, characteristic, complemented
13#23775024C211yesmaximal, characteristic, complemented
14#23775004C211yesmaximal, characteristic, complemented
15#23774970C211yesmaximal, characteristic, complemented
16#23774943C211yesmaximal, characteristic, complemented
17#23774928C211yesmaximal, characteristic, complemented
18#23774895C211yesmaximal, characteristic, complemented
19#23774441C211yesmaximal, characteristic, complemented
20#23774379C211yesmaximal, characteristic, complemented
21#23774241C211yesmaximal, characteristic, complemented
22#23774230C211yesmaximal, characteristic, complemented
23#23774192C211yesmaximal, characteristic, complemented
24#23774167C211yesmaximal, characteristic, complemented
25#23773510C211yesmaximal, characteristic, complemented
26#23773419C211yesmaximal, characteristic, complemented
27#23772652C211yesmaximal, characteristic, complemented
28#23772643C211yesmaximal, characteristic, complemented
29#23772621C211yesmaximal, characteristic, complemented
30#23772431C211yesmaximal, characteristic, complemented
31C2×#452×C79C211yesmaximal, characteristic, complemented
32C2×#41×D79C2211yescharacteristic, complemented
33C2×#14579193C2211yescharacteristic, complemented
34C2×#14579188C2211yescharacteristic, complemented
35C2×#14579186C2211yescharacteristic, complemented
36C2×#14579186C2211yescharacteristic, complemented
37C2×#14579184C2211yescharacteristic, complemented
38C2×#14579182C2211yescharacteristic, complemented
39#19099261—21no—
40#19099261—21no—
41#19099261C2211yescharacteristic
42#19099261C2211yescharacteristic, complemented
43#19099255C2211yescharacteristic, complemented
44#19099255C2211yescharacteristic, complemented
45#19099240—21no—
46#19099240—21no—
47#19099232C2211yescharacteristic
48Q8×C22⋊D79C2211yescharacteristic, complemented
49#19099224C2211yescharacteristic
50#19099224C2211yescharacteristic, complemented
51#19099224C2211yescharacteristic, complemented
52#19099220C2211yescharacteristic
53#19099212—21no—
54#19099212C2211yescharacteristic
55#19099207—21no—
56#19099207C2211yescharacteristic, complemented
57#19099204C2211yescharacteristic, complemented
58#19099204C2211yescharacteristic, complemented
59#19099201—21no—
60#19099201C2211yescharacteristic
61D4×C22⋊D79—21no—
62D4×C22⋊D79C2211yescharacteristic, complemented
63#19099162—21no—
64#19099153—21no—
65#19099125—21no—
66#19099109—21no—
67#19099109C2211yescharacteristic, complemented
68#19099099C2211yescharacteristic, complemented
69#19099099C2211yescharacteristic, complemented
70#19099076C2211yescharacteristic, complemented
71#19099076C2211yescharacteristic, complemented
72#19099074—21no—
73#19099074C2211yescharacteristic
74#19099070—21no—
75#19099070C2211yescharacteristic, complemented
76C2×#14579135C2211yescharacteristic, complemented
77#19099036—21no—
78#41×Dic79C2211yescharacteristic, complemented
79C2×C4×C22⋊D79—21no—
80C2×C4×C22⋊D79C2211yescharacteristic
81#19098956C2211yescharacteristic, complemented
82#19098949C2211yescharacteristic, complemented
83#19098948C2211yescharacteristic, complemented
84#19098944C2211yescharacteristic, complemented
85#19098930C2211yescharacteristic, complemented
86#19098926C2211yescharacteristic, complemented
87#19098919C2211yescharacteristic, complemented
88#19098916C2211yescharacteristic, complemented
89#19098903C2211yescharacteristic, complemented
90#19098902C2211yescharacteristic, complemented
91#19098901C2211yescharacteristic, complemented
92#19098901C2211yescharacteristic, complemented
93#19098899C2211yescharacteristic, complemented
94#19098898C2211yescharacteristic, complemented
95#19098888C2211yescharacteristic, complemented
96#19098888C2211yescharacteristic, complemented
97#19098886C2211yescharacteristic, complemented
98#19098885C2211yescharacteristic, complemented
99#19098882C2211yescharacteristic, complemented
100#19098881C2211yescharacteristic, complemented
101#19098872C2211yescharacteristic, complemented
102#19098868C2211yescharacteristic, complemented
103#19098865C2211yescharacteristic, complemented
104#19098861C2211yescharacteristic, complemented
105#19098819C2211yescharacteristic, complemented
106#19098819C2211yescharacteristic, complemented
107#19098818C2211yescharacteristic, complemented
108#19098815C2211yescharacteristic, complemented
109#19098812C2211yescharacteristic, complemented
110#19098811C2211yescharacteristic, complemented
111#19098811C2211yescharacteristic, complemented
112#19098806C2211yescharacteristic, complemented
113#19098801C2211yescharacteristic, complemented
114#19098799C2211yescharacteristic, complemented
115#19098799C2211yescharacteristic, complemented
116#19098798C2211yescharacteristic, complemented
117#19098795C2211yescharacteristic, complemented
118#19098792C2211yescharacteristic, complemented
119#19098792C2211yescharacteristic, complemented
120#19098789C2211yescharacteristic, complemented
121#19098787C2211yescharacteristic, complemented
122#19098787C2211yescharacteristic, complemented
123#19098787C2211yescharacteristic, complemented
124#19098783C2211yescharacteristic, complemented
125#19098781C2211yescharacteristic, complemented
126#19098780C2211yescharacteristic, complemented
127#19098780C2211yescharacteristic, complemented
128#19098777C2211yescharacteristic, complemented
129#19098771C2211yescharacteristic, complemented
130#19098767C2211yescharacteristic, complemented
131#19098761C2211yescharacteristic, complemented
132#19098757C2211yescharacteristic, complemented
133#19098724C2211yescharacteristic, complemented
134#19098724C2211yescharacteristic, complemented
135#19098724C2211yescharacteristic, complemented
136#19098723C2211yescharacteristic, complemented
137#19098723C2211yescharacteristic, complemented
138#19098722C2211yescharacteristic, complemented
139#19098719C2211yescharacteristic, complemented
140#19098717C2211yescharacteristic, complemented
141#19098716C2211yescharacteristic, complemented
142#19098712C2211yescharacteristic, complemented
143#19098711C2211yescharacteristic, complemented
144#19098710C2211yescharacteristic, complemented
145#19098710C2211yescharacteristic, complemented
146#19098709C2211yescharacteristic, complemented
147#19098708C2211yescharacteristic
148#19098708C2211yescharacteristic
149#19098708C2211yescharacteristic, complemented
150#19098708C2211yescharacteristic, complemented
151#19098707C2211yescharacteristic, complemented
152#19098707C2211yescharacteristic, complemented
153#19098703C2211yescharacteristic, complemented
154#19098702C2211yescharacteristic, complemented
155#19098702C2211yescharacteristic, complemented
156#19098702C2211yescharacteristic, complemented
157#19098699C2211yescharacteristic, complemented
158#19098698C2211yescharacteristic, complemented
159#19098697C2211yescharacteristic, complemented
160#19098697C2211yescharacteristic, complemented
161#19098672C2211yescharacteristic, complemented
162#19098670C2211yescharacteristic, complemented
163#19098666C2211yescharacteristic, complemented
164#19098664C2211yescharacteristic, complemented
165Q16×Dic79C2211yescharacteristic, complemented
166SD16×Dic79C2211yescharacteristic, complemented
167#19098648C2211yescharacteristic, complemented
168#19098643C2211yescharacteristic, complemented
169#19098638C2211yescharacteristic, complemented
170#19098638C2211yescharacteristic, complemented
171#19098637C2211yescharacteristic, complemented
172#19098637C2211yescharacteristic, complemented
173#19098634C2211yescharacteristic, complemented
174#19098634C2211yescharacteristic, complemented
175C8×C22⋊D79C2211yescharacteristic, complemented
176C8×C22⋊D79C2211yescharacteristic, complemented
177#19098617C2211yescharacteristic, complemented
178#19098613C2211yescharacteristic, complemented
179#19098570C2211yescharacteristic, complemented
180#19098566C2211yescharacteristic, complemented
181#19098564C2211yescharacteristic, complemented
182#19098564C2211yescharacteristic, complemented
183#19098558C2211yescharacteristic, complemented
184#19098556C2211yescharacteristic, complemented
185#19098527C2211yescharacteristic, complemented
186#19098525C2211yescharacteristic, complemented
187C22⋊C8×D79C2211yescharacteristic, complemented
188C22×#41×C79C2211yescharacteristic
189C22×Q16×C79C2211yescharacteristic, complemented
190C22×SD16×C79C2211yescharacteristic, complemented
191C2×C22⋊Q8×C79C2211yescharacteristic, complemented
192#452×C79C2211yescharacteristic, complemented
193#452×C79C2211yescharacteristic, complemented
194#452×C79C2211yescharacteristic, complemented
195#452×C79C2211yescharacteristic, complemented
196#452×C79C2211yescharacteristic, complemented
197#452×C79C2211yescharacteristic, complemented
198#452×C79C2211yescharacteristic, complemented
199#452×C79C2211yescharacteristic, complemented
200C2×#103×C79C2211yescharacteristic, complemented
201C2×#102×C79C2211yescharacteristic, complemented
202C2×C22⋊C8×C79C2211yescharacteristic, complemented
203C2×#11929625C2311yescharacteristic
204C2×#11929625C2311yescharacteristic
205C2×#11929625C2311yescharacteristic
206C2×#11929624—21no—
207C2×#11929624C2311yescharacteristic
208C2×#11929623—21no—
209C2×#11929623C2311yescharacteristic
210#41×D79—42no—
211#41×D79—42no—
212C2×Q8×D79C2311yescharacteristic
213C22×D316C2311yescharacteristic
214C22×C22⋊D79—21no—
215C22×C22⋊D79—21no—
216C22×C22⋊D79D411yescharacteristic
217C2×D4×D79—21no—
218C2×D4×D79C2311yescharacteristic
219C22×C4×D79—21no—
220C22×C4×D79C2311yescharacteristic
221#14579193—42no—
222#14579188—42no—
223#14579186—42no—
224#14579186—42no—
225#14579184—42no—
226#14579182—42no—
227C2×#11929614C2311yescharacteristic
228C2×#11929614C2311yescharacteristic
229C2×#11929613C2311yescharacteristic
230C2×#11929613C2311yescharacteristic
231C2×#11929611C2311yescharacteristic
232C2×#11929611C2311yescharacteristic
233C2×#11929611C2311yescharacteristic
234C2×#11929611C2311yescharacteristic
235C2×#11929611C2311yescharacteristic
236C2×#11929611C2311yescharacteristic
237C2×D632C2311yescharacteristic
238C2×D632C2311yescharacteristic
239C2×#11929609C2311yescharacteristic
240C2×#11929609C2311yescharacteristic
241C2×#11929609C2311yescharacteristic
242C2×#11929609C2311yescharacteristic
243C2×#11929608C2311yescharacteristic
244C2×#11929608C2311yescharacteristic
245C2×#11929607C2311yescharacteristic
246C2×#11929607C2311yescharacteristic
247C2×C8×D79C2311yescharacteristic
248C2×C8×D79C2311yescharacteristic
249#14579159—21no—
250#14579159C2311yescharacteristic
251#14579157—21no—
252#14579157C2311yescharacteristic
253#14579156—21no—
254#14579156—21no—
255#14579156—21no—
256#14579156—21no—
257#14579156—21no—
258#14579156—21no—
259#14579152—21no—
260#14579152—21no—
261#14579152C2311yescharacteristic
262#14579152C2311yescharacteristic
263#14579150—21no—
264#14579150—21no—
265#14579150—21no—
266#14579150C2311yescharacteristic
267#14579150C2311yescharacteristic
268#14579150C2311yescharacteristic
269#14579148—21no—
270#14579148C2311yescharacteristic
271#14579146—21no—
272#14579146—21no—
273#14579146—21no—
274#14579146—21no—
275#14579146—21no—
276#14579146—21no—
277#14579145—21no—
278#14579145—21no—
279#14579145—21no—
280#14579145—21no—
281#14579144—21no—
282#14579144—21no—
283#14579144—21no—
284#14579142—21no—
285#14579142—21no—
286#14579142—21no—
287#14579140—21no—
288#14579140—21no—
289#14579140C2311yescharacteristic
290#14579140C2311yescharacteristic
291#14579137—21no—
292#14579137—21no—
293#14579137—21no—
294#14579137—21no—
295#14579137C2311yescharacteristic
296#14579137C2311yescharacteristic
297#14579137C2311yescharacteristic
298#14579137C2311yescharacteristic
299#14579136—21no—
300#14579136—21no—
301#14579136C2311yescharacteristic
302#14579136C2311yescharacteristic
303#14579135—21no—
304#14579135—21no—
305#14579135—21no—
306#14579135—21no—
307#14579135—21no—
308#14579135—21no—
309#14579135—21no—
310#14579135—21no—
311#14579135C2311yescharacteristic
312#14579135C2311yescharacteristic
313#14579135C2311yescharacteristic
314#14579135C2311yescharacteristic
315#14579135C2311yescharacteristic
316#14579135C2311yescharacteristic
317#14579133—21no—
318#14579133—21no—
319#14579133—21no—
320#14579133—21no—
321#14579133—21no—
322#14579133—21no—
323#14579132—21no—
324#14579132—21no—
325#14579132C2311yescharacteristic
326#14579132C2311yescharacteristic
327#14579131—21no—
328#14579131—21no—
329#14579131—21no—
330#14579131—21no—
331#14579130—21no—
332#14579130—21no—
333#14579130—21no—
334#14579129—21no—
335#14579129—21no—
336#14579129—21no—
337Q8×Dic79C2311yescharacteristic
338Q8×Dic79C2311yescharacteristic
339Q8×Dic79C2311yescharacteristic
340Q8×Dic79C2311yescharacteristic
341D4×Dic79—21no—
342D4×Dic79—21no—
343D4×Dic79C2311yescharacteristic
344D4×Dic79C2311yescharacteristic
345#14579123—21no—
346#14579123—21no—
347#14579123C2311yescharacteristic
348#14579123C2311yescharacteristic
349C4×C22⋊D79—21no—
350C4×C22⋊D79—21no—
351C4×C22⋊D79—21no—
352C4×C22⋊D79—21no—
353C4×C22⋊D79—21no—
354C4×C22⋊D79—21no—
355C4×C22⋊D79—21no—
356C4×C22⋊D79—21no—
357C4×C22⋊D79—21no—
358C4×C22⋊D79—21no—
359C4×C22⋊D79—21no—
360C4×C22⋊D79—21no—
361C4×C22⋊D79—21no—
362C4×C22⋊D79—21no—
363C4×C22⋊D79D411yescharacteristic
364C4×C22⋊D79D411yescharacteristic
365C4×C22⋊D79D411yescharacteristic
366C4×C22⋊D79D411yescharacteristic
367C4×C22⋊D79C2311yescharacteristic
368C4×C22⋊D79C2311yescharacteristic
369C4×C22⋊D79C2311yescharacteristic
370C4×C22⋊D79C2311yescharacteristic
371(C22⋊D79)⋊C4—21no—
372(C22⋊D79)⋊C4—21no—
373(C22⋊D79)⋊C4—21no—
374(C22⋊D79)⋊C4—21no—
375#14579120—21no—
376#14579120C2311yescharacteristic
377#14579119—21no—
378#14579119—21no—
379#14579119C2311yescharacteristic
380#14579119C2311yescharacteristic
381#14579117—21no—
382#14579117—21no—
383C2×C4⋊Dic79C2311yescharacteristic
384C2×Dic79⋊C4—21no—
385C2×Dic79⋊C4D411yescharacteristic
386C2×C22⋊Dic79—21no—
387C2×C22⋊Dic79D411yescharacteristic
388C2×(C2×D79)⋊C4—21no—
389C2×(C2×D79)⋊C4—21no—
390C2×(C2×D79)⋊C4D411yescharacteristic
391C22⋊C4×D79—21no—
392C22⋊C4×D79—21no—
393C2×C4×Dic79—21no—
394C2×C4×Dic79C2311yescharacteristic
395#14579095C2311yescharacteristic
396#14579095C2311yescharacteristic
397#14579094C2311yescharacteristic
398#14579094C2311yescharacteristic
399#14579093C2311yescharacteristic
400#14579093C2311yescharacteristic
401#14579092C2311yescharacteristic
402#14579092C2311yescharacteristic
403Dic79⋊C8C2311yescharacteristic
404Dic79⋊C8C2311yescharacteristic
405Dic79⋊C8C2311yescharacteristic
406Dic79⋊C8C2311yescharacteristic
407#14579086C2311yescharacteristic
408#14579086C2311yescharacteristic
409#14579085C2311yescharacteristic
410#14579085C2311yescharacteristic
411#14579085C2311yescharacteristic
412#14579085C2311yescharacteristic
413#14579085C2311yescharacteristic
414#14579085C2311yescharacteristic
415#14579085C2311yescharacteristic
416#14579085C2311yescharacteristic
417#14579084C2311yescharacteristic
418#14579084C2311yescharacteristic
419#14579083C2311yescharacteristic
420#14579083C2311yescharacteristic
421#14579083C2311yescharacteristic
422#14579083C2311yescharacteristic
423#14579083C2311yescharacteristic
424#14579083C2311yescharacteristic
425#14579082C2311yescharacteristic
426#14579082C2311yescharacteristic
427#14579082C2311yescharacteristic
428#14579082C2311yescharacteristic
429#14579081C2311yescharacteristic
430#14579081C2311yescharacteristic
431C22⋊(C79⋊C8)C2311yescharacteristic
432C22⋊(C79⋊C8)C2311yescharacteristic
433C22⋊(C79⋊C8)C2311yescharacteristic
434C22⋊(C79⋊C8)C2311yescharacteristic
435(C2×D79)⋊C8C2311yescharacteristic
436(C2×D79)⋊C8C2311yescharacteristic
437(C2×D79)⋊C8C2311yescharacteristic
438(C2×D79)⋊C8C2311yescharacteristic
439#14579071C2311yescharacteristic
440#14579071C2311yescharacteristic
441C8×Dic79C2311yescharacteristic
442C8×Dic79C2311yescharacteristic
443C2×#41×C79—21no—
444C2×#41×C79—21no—
445C2×#41×C79—42no—
446C2×#41×C79—42no—
447C2×#41×C79C2311yescharacteristic
448C2×#41×C79C2311yescharacteristic
449C2×#41×C79C2311yescharacteristic
450C2×#41×C79C2311yescharacteristic
451C22×Q8×C79C2311yescharacteristic
452C22×Q8×C79C2311yescharacteristic
453C22×D4×C79—21no—
454C22×D4×C79C2311yescharacteristic
455C23×C4×C79—21no—
456C23×C4×C79C2311yescharacteristic
457C2×Q16×C79—42no—
458C2×Q16×C79C2311yescharacteristic
459C2×Q16×C79C2311yescharacteristic
460C2×Q16×C79C2311yescharacteristic
461C2×Q16×C79C2311yescharacteristic
462C2×SD16×C79—42no—
463C2×SD16×C79C2311yescharacteristic
464C2×SD16×C79C2311yescharacteristic
465C2×SD16×C79C2311yescharacteristic
466C2×SD16×C79C2311yescharacteristic
467C22×C8×C79C2311yescharacteristic
468C22×C8×C79C2311yescharacteristic
469C22⋊Q8×C79—21no—
470C22⋊Q8×C79—21no—
471C22⋊Q8×C79C2311yescharacteristic
472C22⋊Q8×C79C2311yescharacteristic
473C22⋊Q8×C79C2311yescharacteristic
474C22⋊Q8×C79C2311yescharacteristic
475C2×C4⋊C4×C79—21no—
476C2×C4⋊C4×C79C2311yescharacteristic
477C2×C22⋊C4×C79—21no—
478#103×C79C2311yescharacteristic
479#103×C79C2311yescharacteristic
480#103×C79C2311yescharacteristic
481#103×C79C2311yescharacteristic
482#102×C79C2311yescharacteristic
483#102×C79C2311yescharacteristic
484#102×C79C2311yescharacteristic
485#102×C79C2311yescharacteristic
486C22⋊C8×C79C2311yescharacteristic
487C22⋊C8×C79C2311yescharacteristic
488C22⋊C8×C79C2311yescharacteristic
489C22⋊C8×C79C2311yescharacteristic
490C23×D79—21no—
491C23×D79—21no—
492C23×D79C2×D411yescharacteristic
493#11929625—22no—
494#11929625—41no—
495#11929625—41no—
496#11929625—41no—
497#11929625—41no—
498#11929625—41no—
499#11929624—41no—
500#11929624—41no—
501#11929624—44no—
502#11929623—22no—
503#11929623—41no—
504#11929623—44no—
505C2×Dic158—21no—
506C2×Dic158C2411yescharacteristic
507Q8×D79—22no—
508Q8×D79—41no—
509C2×D316—21no—
510C2×D316—21no—
511C2×D316—21no—
512C2×D316—21no—
513C2×D316—21no—
514C2×D316—21no—
515C2×D316—41no—
516C2×D316—41no—
517C2×D316C2411yescharacteristic
518C2×D316C2411yescharacteristic
519C2×D316C2411yescharacteristic
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—42no—
534C2×C22⋊D79—44no—
535C2×C22⋊D79—44no—
536C2×C22⋊D79C2×D411yescharacteristic
537C2×C22⋊D79C2×D411yescharacteristic
538C2×C22⋊D79C2×D411yescharacteristic
539C2×C22⋊D79C2×D411yescharacteristic
540D4×D79—22no—
541D4×D79—41no—
542D4×D79—44no—
543C22×Dic79—21no—
544C22×Dic79—21no—
545C22×Dic79—21no—
546C22×Dic79—21no—
547C22×Dic79C2×D411yescharacteristic
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—41no—
558C2×C4×D79—41no—
559C2×C4×D79—44no—
560C2×C4×D79C2×D411yescharacteristic
561C2×C4×D79C2×D411yescharacteristic
562C2×C4×D79C2411yescharacteristic
563C2×C4×D79C2411yescharacteristic
564#11929614—41no—
565#11929614—41no—
566#11929613—41no—
567#11929613—41no—
568#11929611—22no—
569#11929611—22no—
570#11929611—41no—
571#11929611—41no—
572#11929611—41no—
573#11929611—41no—
574D632—41no—
575D632—41no—
576#11929609—22no—
577#11929609—22no—
578#11929609—41no—
579#11929609—41no—
580#11929608—41no—
581#11929608—41no—
582#11929607—41no—
583#11929607—41no—
584C2×C79⋊C8C2411yescharacteristic
585C2×C79⋊C8C2411yescharacteristic
586C2×C79⋊C8C2411yescharacteristic
587C2×C79⋊C8C2411yescharacteristic
588C8×D79—41no—
589C8×D79—41no—
590C4⋊Dic79—21no—
591C4⋊Dic79—21no—
592C4⋊Dic79—21no—
593C4⋊Dic79—21no—
594C4⋊Dic79—21no—
595C4⋊Dic79—21no—
596C4⋊Dic79—21no—
597C4⋊Dic79C2411yescharacteristic
598C4⋊Dic79C2411yescharacteristic
599C4⋊Dic79C2411yescharacteristic
600C4⋊Dic79C2411yescharacteristic
601Dic79⋊C4—21no—
602Dic79⋊C4—21no—
603Dic79⋊C4—21no—
604Dic79⋊C4—21no—
605Dic79⋊C4—21no—
606Dic79⋊C4—21no—
607Dic79⋊C4—21no—
608Dic79⋊C4—21no—
609Dic79⋊C4—21no—
610Dic79⋊C4—21no—
611Dic79⋊C4C2×D411yescharacteristic
612Dic79⋊C4C2×D411yescharacteristic
613Dic79⋊C4C2×D411yescharacteristic
614Dic79⋊C4C2×D411yescharacteristic
615C22⋊Dic79—21no—
616C22⋊Dic79—21no—
617C22⋊Dic79—21no—
618C22⋊Dic79—21no—
619C22⋊Dic79—21no—
620C22⋊Dic79—21no—
621C22⋊Dic79—21no—
622C22⋊Dic79—21no—
623C22⋊Dic79—21no—
624C22⋊Dic79C2×D411yescharacteristic
625C22⋊Dic79C2×D411yescharacteristic
626C22⋊Dic79C2×D411yescharacteristic
627C22⋊Dic79C2×D411yescharacteristic
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)⋊C4—21no—
647(C2×D79)⋊C4—21no—
648(C2×D79)⋊C4—21no—
649(C2×D79)⋊C4—21no—
650(C2×D79)⋊C4C2×D411yescharacteristic
651(C2×D79)⋊C4C2×D411yescharacteristic
652(C2×D79)⋊C4C2×D411yescharacteristic
653(C2×D79)⋊C4C2×D411yescharacteristic
654C4×Dic79—21no—
655C4×Dic79—21no—
656C4×Dic79—21no—
657C4×Dic79—21no—
658C4×Dic79—21no—
659C4×Dic79—21no—
660C4×Dic79—21no—
661C4×Dic79C2×D411yescharacteristic
662C4×Dic79C2×D411yescharacteristic
663C4×Dic79C2411yescharacteristic
664C4×Dic79C2411yescharacteristic
665C24×C79—21no—
666C24×C79C2×D411yescharacteristic
667#41×C79—22no—
668#41×C79—22no—
669#41×C79—22no—
670#41×C79—22no—
671#41×C79—41no—
672#41×C79—41no—
673#41×C79—41no—
674#41×C79—41no—
675#41×C79—44no—
676#41×C79—44no—
677C2×Q8×C79—21no—
678C2×Q8×C79—21no—
679C2×Q8×C79—22no—
680C2×Q8×C79—41no—
681C2×Q8×C79—41no—
682C2×Q8×C79—41no—
683C2×Q8×C79C2411yescharacteristic
684C2×Q8×C79C2411yescharacteristic
685C2×Q8×C79C2411yescharacteristic
686C2×Q8×C79C2411yescharacteristic
687C2×D4×C79—21no—
688C2×D4×C79—22no—
689C2×D4×C79—21no—
690C2×D4×C79—21no—
691C2×D4×C79—21no—
692C2×D4×C79—21no—
693C2×D4×C79—41no—
694C2×D4×C79—44no—
695C2×D4×C79C2411yescharacteristic
696C2×D4×C79C2411yescharacteristic
697C22×C4×C79—21no—
698C22×C4×C79—21no—
699C22×C4×C79—21no—
700C22×C4×C79—21no—
701C22×C4×C79—21no—
702C22×C4×C79—21no—
703C22×C4×C79—21no—
704C22×C4×C79—41no—
705C22×C4×C79—41no—
706C22×C4×C79—44no—
707C22×C4×C79C2×D411yescharacteristic
708C22×C4×C79C2×D411yescharacteristic
709C22×C4×C79C2×D411yescharacteristic
710C22×C4×C79C2411yescharacteristic
711C22×C4×C79C2411yescharacteristic
712C22×C4×C79C2411yescharacteristic
713Q16×C79—22no—
714Q16×C79—22no—
715Q16×C79—41no—
716Q16×C79—41no—
717SD16×C79—22no—
718SD16×C79—22no—
719SD16×C79—41no—
720SD16×C79—41no—
721C2×C8×C79—41no—
722C2×C8×C79—41no—
723C2×C8×C79C2411yescharacteristic
724C2×C8×C79C2411yescharacteristic
725C2×C8×C79C2411yescharacteristic
726C2×C8×C79C2411yescharacteristic
727C4⋊C4×C79—21no—
728C4⋊C4×C79—21no—
729C4⋊C4×C79—21no—
730C4⋊C4×C79—21no—
731C4⋊C4×C79—21no—
732C4⋊C4×C79C2411yescharacteristic
733C4⋊C4×C79C2411yescharacteristic
734C22⋊C4×C79—21no—
735C22⋊C4×C79—21no—
736C22⋊C4×C79—21no—
737C22⋊C4×C79—21no—
738C23×C79—21no—
739C23×C79—22no—
740C23×C79—21no—
741C23×C79—41no—
742C23×C79—41no—
743C23×C79—42no—
744C23×C79—42no—
745C23×C79—81no—
746C23×C79C22×D411yescharacteristic
747C23×C79C22×D411yescharacteristic
748C23×C79C22×D411yescharacteristic
749C22×D79—21no—
750C22×D79—21no—
751C22×D79—21no—
752C22×D79—41no—
753C22×D79—41no—
754C22×D79—41no—
755C22×D79—42no—
756C22×D79—42no—
757C22×D79—42no—
758C22×D79—81no—
759C22×D79—81no—
760C22×D79—81no—
761C22×D79C22×D411yescharacteristic
762C22×D79C22×D411yescharacteristic
763Q8×C79—21no—
764Q8×C79—21no—
765Q8×C79—21no—
766Q8×C79—21no—
767Q8×C79—21no—
768Q8×C79—21no—
769Q8×C79—21no—
770Q8×C79—42no—
771Q8×C79—81no—
772Q8×C79H(5,𝔽2)12yes—
773D4×C79—24no—
774D4×C79—21no—
775D4×C79—21no—
776D4×C79—21no—
777D4×C79—42no—
778D4×C79—42no—
779D4×C79—42no—
780D4×C79—42no—
781D4×C79H(5,𝔽2)12yes—
782C2×C4×C79—24no—
783C2×C4×C79—21no—
784C2×C4×C79—21no—
785C2×C4×C79—21no—
786C2×C4×C79—21no—
787C2×C4×C79—21no—
788C2×C4×C79—21no—
789C2×C4×C79—21no—
790C2×C4×C79—21no—
791C2×C4×C79—21no—
792C2×C4×C79—21no—
793C2×C4×C79—21no—
794C2×C4×C79—21no—
795C2×C4×C79—41no—
796C2×C4×C79—41no—
797C2×C4×C79—41no—
798C2×C4×C79—42no—
799C2×C4×C79—42no—
800C2×C4×C79—42no—
801C2×C4×C79—42no—
802C2×C4×C79—81no—
803C2×C4×C79—81no—
804C2×C4×C79C22×D411yescharacteristic
805C2×C4×C79C22×D411yescharacteristic
806C2×C4×C79C22×D411yescharacteristic
807C2×C4×C79C2511yescharacteristic
808C22⋊D79—22no—
809C22⋊D79—22no—
810C22⋊D79—41no—
811C22⋊D79—41no—
812C22⋊D79—42no—
813C22⋊D79—42no—
814C22⋊D79—42no—
815C22⋊D79—42no—
816C22⋊D79—42no—
817C22⋊D79—42no—
818C22⋊D79—42no—
819C22⋊D79—42no—
820C22⋊D79—42no—
821C22⋊D79—42no—
822C22⋊D79—81no—
823C22⋊D79—81no—
824C22⋊D79—81no—
825C2×Dic79—21no—
826C2×Dic79—21no—
827C2×Dic79—21no—
828C2×Dic79—21no—
829C2×Dic79—21no—
830C2×Dic79—41no—
831C2×Dic79—41no—
832C2×Dic79—41no—
833C2×Dic79—42no—
834C2×Dic79—42no—
835C2×Dic79—42no—
836C2×Dic79—81no—
837C2×Dic79C22×D411yescharacteristic
838C2×Dic79C22×D411yescharacteristic
839C2×Dic79C22×D411yescharacteristic
840C2×Dic79C22×D411yescharacteristic
841C2×Dic79C22×D411yescharacteristic
842C2×Dic79C22×D411yescharacteristic
843D316—21no—
844D316—21no—
845D316—21no—
846D316—21no—
847D316—21no—
848D316—21no—
849D316—42no—
850D316—81no—
851D316—81no—
852D316—81no—
853D316—81no—
854D316—81no—
855C4×D79—21no—
856C4×D79—21no—
857C4×D79—21no—
858C4×D79—21no—
859C4×D79—41no—
860C4×D79—41no—
861C4×D79—42no—
862C4×D79—42no—
863C4×D79—42no—
864C4×D79—81no—
865C4×D79—81no—
866C4×D79—81no—
867C4×D79—81no—
868Dic158—21no—
869Dic158—21no—
870Dic158—42no—
871C8×C79—21no—
872C8×C79—21no—
873C8×C79—21no—
874C8×C79—21no—
875C79⋊C8—21no—
876C79⋊C8—21no—
877C79⋊C8—21no—
878C79⋊C8—21no—
879C22×C79—21no—
880C22×C79—21no—
881C22×C79—21no—
882C22×C79—21no—
883C22×C79—21no—
884C22×C79—22no—
885C22×C79—21no—
886C22×C79—21no—
887C22×C79—21no—
888C22×C79—41no—
889C22×C79—41no—
890C22×C79—41no—
891C22×C79—41no—
892C22×C79—41no—
893C22×C79—82no—
894C22×C79—84no—
895C22×C79#57512yes—
896C22×C79C23×D411yescharacteristic
897C2×D79—21no—
898C2×D79—21no—
899C2×D79—21no—
900C2×D79—21no—
901C2×D79—21no—
902C2×D79—21no—
903C2×D79—41no—
904C2×D79—41no—
905C2×D79—41no—
906C2×D79—41no—
907C2×D79—41no—
908C2×D79—41no—
909C2×D79—41no—
910C2×D79—41no—
911C2×D79—41no—
912C2×D79—82no—
913C2×D79—84no—
914C2×D79—162no—
915C4×C79—21no—
916C4×C79—22no—
917C4×C79—21no—
918C4×C79—21no—
919C4×C79—41no—
920C4×C79—41no—
921C4×C79—41no—
922C4×C79—41no—
923C4×C79—41no—
924C4×C79C2×H(5,𝔽2)11yescharacteristic
925C4×C79C2×H(5,𝔽2)11yescharacteristic
926Dic79—21no—
927Dic79—21no—
928Dic79—21no—
929Dic79—21no—
930Dic79—21no—
931Dic79—21no—
932Dic79—41no—
933Dic79—41no—
934Dic79—41no—
935Dic79—41no—
936Dic79—41no—
937#61606—791nomaximal, Sylow
938C2×C79—22no—
939C2×C79—41no—
940C2×C79—42no—
941C2×C79—41no—
942C2×C79—81no—
943C2×C79#348411yescharacteristic
944C2×C79C2×#57511yescharacteristic
945C2×C79#358411yescharacteristic
946D79—41no—
947D79—41no—
948D79—81no—
949D79—81no—
950D79—81no—
951#3505—791no—
952D4×#41—791no—
953#3327—791no—
954#3323—791no—
955#3320—791no—
956#3318—791no—
957#3317—791no—
958#3315—791no—
959#3301—791no—
960#3297—791no—
961#3285—791no—
962#3282—791no—
963#3275—791no—
964#3273—791no—
965#3270—791no—
966#3268—791no—
967#3267—791no—
968#3265—791no—
969#3219—791no—
970#3212—791no—
971#3197—791no—
972#3196—791no—
973#3191—791no—
974#3188—791no—
975#3111—791no—
976#3102—791no—
977#3006—791no—
978#3005—791no—
979#3002—791no—
980C2×#452D7911yescharacteristic, complemented
981#2974—791no—
982C79#6160611yescharacteristic, complemented, Sylow
983C22×#41—791no—
984C22×#41C2×D7911yescharacteristic
985C2×#137—791no—
986C2×AGL(1,ℤ/8)—791no—
987C2×AGL(1,ℤ/8)—791no—
988C2×AGL(1,ℤ/8)—791no—
989C2×#135—791no—
990C2×#135—791no—
991C22×Q16C2×D7911yescharacteristic, complemented
992C22×SD16C2×D7911yescharacteristic, complemented
993#553—791no—
994#553—791no—
995#553—1581no—
996#553—1581no—
997#552—791no—
998#552—791no—
999#551—1581no—
1000#551—1581no—
1001#550—791no—
1002D4×Q8—791no—
1003#548—791no—
1004#548—791no—
1005#548—791no—
1006#548—791no—
1007#547—791no—
1008#547—1581no—
1009#546—791no—
1010#546—791no—
1011#546—791no—
1012#546—791no—
1013#546—1581no—
1014#546—1581no—
1015D42—791no—
1016D42—1581no—
1017#539—1581no—
1018#538—1581no—
1019#534—1581no—
1020#532—791no—
1021#532—1581no—
1022#529—791no—
1023#529—791no—
1024#525—791no—
1025#525—791no—
1026#525—791no—
1027#525—791no—
1028#525—1581no—
1029#525—1581no—
1030C2×C22⋊Q8C2×D7911yescharacteristic, complemented
1031C2×#121—791no—
1032#518—1581no—
1033C4×#41—791no—
1034C2×C4×D4—791no—
1035C2×C4×D4—1581no—
1036#497—791no—
1037#496—791no—
1038#495—791no—
1039#495—791no—
1040#491—791no—
1041#490—791no—
1042#488—791no—
1043#488—791no—
1044#485—791no—
1045#485—791no—
1046#485—791no—
1047#485—791no—
1048#484—791no—
1049#484—791no—
1050#482—791no—
1051#482—791no—
1052#482—791no—
1053#482—791no—
1054#481—791no—
1055#481—791no—
1056#479—791no—
1057#479—791no—
1058#478—791no—
1059#478—791no—
1060#470—791no—
1061#470—791no—
1062#470—791no—
1063#469—791no—
1064#468—791no—
1065#468—791no—
1066#468—791no—
1067#468—791no—
1068#467—791no—
1069#466—791no—
1070#466—791no—
1071#466—791no—
1072#465—791no—
1073#465—791no—
1074#465—791no—
1075#465—791no—
1076#464—791no—
1077#464—791no—
1078#464—791no—
1079#464—791no—
1080#463—791no—
1081#463—791no—
1082#463—791no—
1083#463—791no—
1084#462—791no—
1085#461—791no—
1086#460—791no—
1087#459—791no—
1088#452—791no—
1089#452—791no—
1090#452—791no—
1091#452—791no—
1092#452—791no—
1093#452—791no—
1094#452C2×D7911yescharacteristic, complemented
1095#452C2×D7911yescharacteristic, complemented
1096#452C2×D7911yescharacteristic, complemented
1097#452C2×D7911yescharacteristic, complemented
1098#452C2×D7911yescharacteristic, complemented
1099#452C2×D7911yescharacteristic, complemented
1100#452C2×D7911yescharacteristic, complemented
1101#452C2×D7911yescharacteristic, complemented
1102#451—791no—
1103#451—791no—
1104#450—791no—
1105#450—791no—
1106#449—791no—
1107#449—791no—
1108#449—791no—
1109#449—791no—
1110#449—791no—
1111#449—791no—
1112#449—791no—
1113#449—791no—
1114#449—791no—
1115#449—791no—
1116#448—791no—
1117#448—791no—
1118#448—791no—
1119#448—791no—
1120#447—791no—
1121#447—791no—
1122#447—791no—
1123#447—791no—
1124#442—791no—
1125#441—791no—
1126#440—791no—
1127#440—791no—
1128C4×Q16—791no—
1129C4×SD16—791no—
1130C4×SD16—791no—
1131C4×D8—791no—
1132#436—791no—
1133#436—791no—
1134#435—791no—
1135#435—791no—
1136#435—791no—
1137#435—791no—
1138C8×D4—791no—
1139C8×D4—791no—
1140#432—791no—
1141#431—791no—
1142#419—791no—
1143#418—791no—
1144#417—791no—
1145#417—791no—
1146#416—791no—
1147#416—791no—
1148C2×#103C2×D7911yescharacteristic, complemented
1149C2×#102C2×D7911yescharacteristic, complemented
1150#407—791no—
1151#407—791no—
1152C2×C22⋊C8—791no—
1153C2×C22⋊C8C2×D7911yescharacteristic, complemented
1154C2×#41—21no—
1155C2×#41—21no—
1156C2×#41—42no—
1157C2×#41—42no—
1158C2×#41—3162no—
1159C2×#41—3162no—
1160C2×#41—791no—
1161C2×#41—791no—
1162C2×#41—791no—
1163C2×#41—791no—
1164C2×#41—791no—
1165C2×#41—1581no—
1166C2×#41—1581no—
1167C2×#41C22×D7911yescharacteristic
1168C2×#41C22×D7911yescharacteristic
1169C2×#41C22×D7911yescharacteristic
1170C2×#41C22×D7911yescharacteristic
1171C22×Q8—791no—
1172C22×Q8C22×D7911yescharacteristic
1173C22×Q8C22×D7911yescharacteristic
1174C22×D4—21no—
1175C22×D4—791no—
1176C22×D4—791no—
1177C22×D4—791no—
1178C22×D4—1581no—
1179C22×D4—1581no—
1180C22×D4—1581no—
1181C22×D4C22×D7911yescharacteristic
1182C23×C4—21no—
1183C23×C4—791no—
1184C23×C4—1581no—
1185C23×C4C22×D7911yescharacteristic
1186#137—3162no—
1187AGL(1,ℤ/8)—3162no—
1188AGL(1,ℤ/8)—3162no—
1189AGL(1,ℤ/8)—3162no—
1190#135—3162no—
1191#135—3162no—
1192C2×Q16—42no—
1193C2×Q16—791no—
1194C2×Q16—791no—
1195C2×Q16C22×D7911yescharacteristic
1196C2×Q16C22×D7911yescharacteristic
1197C2×Q16C22×D7911yescharacteristic
1198C2×Q16C22×D7911yescharacteristic
1199C2×SD16—42no—
1200C2×SD16—791no—
1201C2×SD16—791no—
1202C2×SD16—791no—
1203C2×SD16—791no—
1204C2×SD16—791no—
1205C2×SD16—791no—
1206C2×SD16—791no—
1207C2×SD16—791no—
1208C2×SD16C22×D7911yescharacteristic
1209C2×SD16C22×D7911yescharacteristic
1210C2×SD16C22×D7911yescharacteristic
1211C2×SD16C22×D7911yescharacteristic
1212C2×D8—791no—
1213C2×D8—791no—
1214C2×D8—791no—
1215C2×D8—791no—
1216C2×D8—791no—
1217C2×D8—791no—
1218C2×M16—791no—
1219C2×M16—791no—
1220C2×M16—791no—
1221C2×M16—791no—
1222C22×C8—791no—
1223C22×C8—791no—
1224C22×C8C22×D7911yescharacteristic
1225C22×C8C22×D7911yescharacteristic
1226C4⋊Q8—791no—
1227C4⋊Q8—1581no—
1228#127—791no—
1229#127—1581no—
1230#126—1581no—
1231#126—1581no—
1232#126—1581no—
1233#126—1581no—
1234#126—1581no—
1235#126—1581no—
1236#125—791no—
1237#125—791no—
1238#125—1581no—
1239#125—1581no—
1240#124—791no—
1241#124—791no—
1242#124—791no—
1243#124—791no—
1244#124—1581no—
1245#124—1581no—
1246#124—1581no—
1247#124—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—
1256#123—1581no—
1257#123—1581no—
1258#123—1581no—
1259#123—1581no—
1260#123—1581no—
1261#123—1581no—
1262#123—1581no—
1263#123—1581no—
1264C22⋊Q8—21no—
1265C22⋊Q8—21no—
1266C22⋊Q8—791no—
1267C22⋊Q8—791no—
1268C22⋊Q8—791no—
1269C22⋊Q8—791no—
1270C22⋊Q8—791no—
1271C22⋊Q8—791no—
1272C22⋊Q8—1581no—
1273C22⋊Q8—1581no—
1274C22⋊Q8—1581no—
1275C22⋊Q8—1581no—
1276C22⋊Q8—1581no—
1277C22⋊Q8—1581no—
1278C22⋊Q8C22×D7911yescharacteristic
1279C22⋊Q8C22×D7911yescharacteristic
1280C22⋊Q8C22×D7911yescharacteristic
1281C22⋊Q8C22×D7911yescharacteristic
1282#121—791no—
1283#121—791no—
1284#121—791no—
1285#121—791no—
1286#121—791no—
1287#121—791no—
1288#121—791no—
1289#121—791no—
1290#121—791no—
1291#121—791no—
1292#121—1581no—
1293#121—1581no—
1294#121—1581no—
1295#121—1581no—
1296#121—1581no—
1297#121—1581no—
1298#121—1581no—
1299#121—1581no—
1300#121—1581no—
1301#121—1581no—
1302#121—1581no—
1303#121—1581no—
1304#121—1581no—
1305#121—1581no—
1306#121—1581no—
1307#121—1581no—
1308#121—1581no—
1309#121—1581no—
1310#120—1581no—
1311#120—1581no—
1312#120—1581no—
1313#120—1581no—
1314#120—1581no—
1315#120—1581no—
1316#120—1581no—
1317#120—1581no—
1318#120—1581no—
1319#120—1581no—
1320C4×Q8—791no—
1321C4×Q8—791no—
1322C4×Q8—791no—
1323C4×Q8—791no—
1324C4×D4—791no—
1325C4×D4—791no—
1326C4×D4—791no—
1327C4×D4—791no—
1328C4×D4—791no—
1329C4×D4—791no—
1330C4×D4—791no—
1331C4×D4—791no—
1332C4×D4—791no—
1333C4×D4—791no—
1334C4×D4—791no—
1335C4×D4—791no—
1336C4×D4—1581no—
1337C4×D4—1581no—
1338C4×D4—1581no—
1339C4×D4—1581no—
1340C4×D4—1581no—
1341C4×D4—1581no—
1342C4×D4—1581no—
1343C4×D4—1581no—
1344C4×D4—1581no—
1345C4×D4—1581no—
1346C4×D4—1581no—
1347C4×D4—1581no—
1348C4×D4—1581no—
1349C4×D4—1581no—
1350C4×D4—1581no—
1351C4×D4—1581no—
1352C4×D4—1581no—
1353C4×D4—1581no—
1354C4×D4—1581no—
1355C4×D4—1581no—
1356C4×D4—1581no—
1357C4×D4—1581no—
1358#117—791no—
1359#117—791no—
1360#117—791no—
1361#117—1581no—
1362#117—1581no—
1363#117—1581no—
1364#117—1581no—
1365#117—1581no—
1366C2×C4⋊C4—21no—
1367C2×C4⋊C4—791no—
1368C2×C4⋊C4—791no—
1369C2×C4⋊C4—1581no—
1370C2×C4⋊C4C22×D7911yescharacteristic
1371C2×C22⋊C4—21no—
1372C2×C22⋊C4—791no—
1373C2×C22⋊C4—791no—
1374C2×C22⋊C4—1581no—
1375C2×C22⋊C4—1581no—
1376C2×C22⋊C4—1581no—
1377C2×C22⋊C4—1581no—
1378C2×C22⋊C4—1581no—
1379C2×C42—791no—
1380C2×C42—1581no—
1381#107—791no—
1382#107—791no—
1383#107—791no—
1384#107—791no—
1385#106—791no—
1386#106—791no—
1387#106—791no—
1388#106—791no—
1389C4⋊C8—791no—
1390C4⋊C8—791no—
1391C4⋊C8—791no—
1392C4⋊C8—791no—
1393#103—791no—
1394#103—791no—
1395#103—791no—
1396#103—791no—
1397#103—791no—
1398#103—791no—
1399#103—791no—
1400#103—791no—
1401#103—791no—
1402#103—791no—
1403#103—791no—
1404#103—791no—
1405#103C22×D7911yescharacteristic
1406#103C22×D7911yescharacteristic
1407#103C22×D7911yescharacteristic
1408#103C22×D7911yescharacteristic
1409#102—791no—
1410#102—791no—
1411#102—791no—
1412#102—791no—
1413#102—791no—
1414#102—791no—
1415#102—791no—
1416#102—791no—
1417#102—791no—
1418#102—791no—
1419#102—791no—
1420#102—791no—
1421#102C22×D7911yescharacteristic
1422#102C22×D7911yescharacteristic
1423#102C22×D7911yescharacteristic
1424#102C22×D7911yescharacteristic
1425C22⋊C8—791no—
1426C22⋊C8—791no—
1427C22⋊C8—791no—
1428C22⋊C8—791no—
1429C22⋊C8—791no—
1430C22⋊C8—791no—
1431C22⋊C8—791no—
1432C22⋊C8—791no—
1433C22⋊C8C22×D7911yescharacteristic
1434C22⋊C8C22×D7911yescharacteristic
1435C22⋊C8C22×D7911yescharacteristic
1436C22⋊C8C22×D7911yescharacteristic
1437#97—791no—
1438#97—791no—
1439C4×C8—791no—
1440C4×C8—791no—
1441C24—21no—
1442C24—791no—
1443C24—1581no—
1444C24—1581no—
1445C24D4×D7911yescharacteristic
1446#41—22no—
1447#41—22no—
1448#41—22no—
1449#41—22no—
1450#41—41no—
1451#41—41no—
1452#41—41no—
1453#41—41no—
1454#41—44no—
1455#41—44no—
1456#41—3164no—
1457#41—3161no—
1458#41—3161no—
1459#41—3164no—
1460#41—3161no—
1461#41—3161no—
1462#41—3161no—
1463#41—3161no—
1464#41—3161no—
1465#41—3161no—
1466#41—1582no—
1467#41—1582no—
1468C2×Q8—21no—
1469C2×Q8—21no—
1470C2×Q8—22no—
1471C2×Q8—41no—
1472C2×Q8—41no—
1473C2×Q8—41no—
1474C2×Q8—3161no—
1475C2×Q8—791no—
1476C2×Q8—1581no—
1477C2×Q8—1582no—
1478C2×Q8C23×D7911yescharacteristic
1479C2×Q8C23×D7911yescharacteristic
1480C2×Q8C23×D7911yescharacteristic
1481C2×Q8C23×D7911yescharacteristic
1482C2×D4—21no—
1483C2×D4—22no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—41no—
1489C2×D4—44no—
1490C2×D4—3161no—
1491C2×D4—3161no—
1492C2×D4—3164no—
1493C2×D4—3164no—
1494C2×D4—3164no—
1495C2×D4—3162no—
1496C2×D4—3161no—
1497C2×D4—791no—
1498C2×D4—791no—
1499C2×D4—791no—
1500C2×D4—791no—
1501C2×D4—791no—
1502C2×D4—791no—
1503C2×D4—791no—
1504C2×D4—1581no—
1505C2×D4—1581no—
1506C2×D4—1581no—
1507C2×D4—1581no—
1508C2×D4—1581no—
1509C2×D4—1581no—
1510C2×D4—1581no—
1511C2×D4—1581no—
1512C2×D4—1581no—
1513C2×D4—1581no—
1514C2×D4—1581no—
1515C2×D4—1581no—
1516C2×D4—1581no—
1517C2×D4—1581no—
1518C2×D4—1581no—
1519C2×D4—1581no—
1520C2×D4—1582no—
1521C2×D4—1581no—
1522C2×D4—1581no—
1523C2×D4—1581no—
1524C2×D4C23×D7911yescharacteristic
1525C2×D4C23×D7911yescharacteristic
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—21no—
1530C22×C4—21no—
1531C22×C4—21no—
1532C22×C4—21no—
1533C22×C4—41no—
1534C22×C4—41no—
1535C22×C4—44no—
1536C22×C4—3164no—
1537C22×C4—3161no—
1538C22×C4—3161no—
1539C22×C4—791no—
1540C22×C4—791no—
1541C22×C4—791no—
1542C22×C4—791no—
1543C22×C4—791no—
1544C22×C4—791no—
1545C22×C4—791no—
1546C22×C4—1581no—
1547C22×C4—1581no—
1548C22×C4—1581no—
1549C22×C4—1581no—
1550C22×C4—1581no—
1551C22×C4—1581no—
1552C22×C4—1581no—
1553C22×C4—1581no—
1554C22×C4—1581no—
1555C22×C4—1581no—
1556C22×C4—1581no—
1557C22×C4D4×D7911yescharacteristic
1558C22×C4D4×D7911yescharacteristic
1559C22×C4D4×D7911yescharacteristic
1560C22×C4C23×D7911yescharacteristic
1561C22×C4C23×D7911yescharacteristic
1562C22×C4C23×D7911yescharacteristic
1563Q16—22no—
1564Q16—22no—
1565Q16—41no—
1566Q16—41no—
1567Q16—3161no—
1568Q16—3161no—
1569SD16—22no—
1570SD16—22no—
1571SD16—41no—
1572SD16—41no—
1573SD16—3161no—
1574SD16—3161no—
1575SD16—3161no—
1576SD16—3161no—
1577SD16—3161no—
1578SD16—3161no—
1579SD16—1582no—
1580SD16—1582no—
1581D8—3161no—
1582D8—3161no—
1583D8—3161no—
1584D8—3161no—
1585D8—1582no—
1586D8—1582no—
1587M16—3161no—
1588M16—3161no—
1589M16—3161no—
1590M16—3161no—
1591C2×C8—41no—
1592C2×C8—41no—
1593C2×C8—3161no—
1594C2×C8—3161no—
1595C2×C8—791no—
1596C2×C8—791no—
1597C2×C8—791no—
1598C2×C8—791no—
1599C2×C8C23×D7911yescharacteristic
1600C2×C8C23×D7911yescharacteristic
1601C2×C8C23×D7911yescharacteristic
1602C2×C8C23×D7911yescharacteristic
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—791no—
1609C4⋊C4—791no—
1610C4⋊C4—791no—
1611C4⋊C4—791no—
1612C4⋊C4—791no—
1613C4⋊C4—791no—
1614C4⋊C4—791no—
1615C4⋊C4—791no—
1616C4⋊C4—1581no—
1617C4⋊C4—1581no—
1618C4⋊C4—1581no—
1619C4⋊C4—1581no—
1620C4⋊C4—1581no—
1621C4⋊C4—1581no—
1622C4⋊C4—1581no—
1623C4⋊C4—1581no—
1624C4⋊C4—1581no—
1625C4⋊C4—1581no—
1626C4⋊C4—1581no—
1627C4⋊C4—1581no—
1628C4⋊C4—1581no—
1629C4⋊C4—1581no—
1630C4⋊C4—1581no—
1631C4⋊C4—1581no—
1632C4⋊C4—1581no—
1633C4⋊C4C23×D7911yescharacteristic
1634C4⋊C4C23×D7911yescharacteristic
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—791no—
1640C22⋊C4—791no—
1641C22⋊C4—791no—
1642C22⋊C4—791no—
1643C22⋊C4—791no—
1644C22⋊C4—791no—
1645C22⋊C4—791no—
1646C22⋊C4—791no—
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⋊C4—1581no—
1661C22⋊C4—1581no—
1662C22⋊C4—1581no—
1663C22⋊C4—1581no—
1664C22⋊C4—1581no—
1665C22⋊C4—1581no—
1666C22⋊C4—1581no—
1667C22⋊C4—1581no—
1668C22⋊C4—1581no—
1669C22⋊C4—1581no—
1670C22⋊C4—1581no—
1671C22⋊C4—1581no—
1672C22⋊C4—1581no—
1673C22⋊C4—1581no—
1674C22⋊C4—1581no—
1675C22⋊C4—1581no—
1676C22⋊C4—1581no—
1677C22⋊C4—1581no—
1678C42—791no—
1679C42—791no—
1680C42—791no—
1681C42—791no—
1682C42—1581no—
1683C42—1581no—
1684C42—1581no—
1685C42—1581no—
1686C42—1581no—
1687C42—1581no—
1688C42—1581no—
1689C23—21no—
1690C23—22no—
1691C23—21no—
1692C23—41no—
1693C23—41no—
1694C23—42no—
1695C23—42no—
1696C23—81no—
1697C23—3162no—
1698C23—3162no—
1699C23—3161no—
1700C23—3161no—
1701C23—3161no—
1702C23—3162no—
1703C23—791no—
1704C23—791no—
1705C23—6321no—
1706C23—6321no—
1707C23—6321no—
1708C23—1581no—
1709C23—1581no—
1710C23—1581no—
1711C23C2×D4×D7911yescharacteristic
1712C23C2×D4×D7911yescharacteristic
1713C23C2×D4×D7911yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—21no—
1719Q8—21no—
1720Q8—21no—
1721Q8—42no—
1722Q8—81no—
1723Q8—3162no—
1724Q8—1581no—
1725Q8—1581no—
1726Q8#1457920612yes—
1727D4—24no—
1728D4—21no—
1729D4—21no—
1730D4—21no—
1731D4—42no—
1732D4—42no—
1733D4—42no—
1734D4—42no—
1735D4—3162no—
1736D4—3162no—
1737D4—3162no—
1738D4—3162no—
1739D4—3162no—
1740D4—3162no—
1741D4—3162no—
1742D4—3162no—
1743D4—3162no—
1744D4—3162no—
1745D4—3161no—
1746D4—3161no—
1747D4—3162no—
1748D4—6321no—
1749D4—6321no—
1750D4—6321no—
1751D4—6321no—
1752D4—6321no—
1753D4—6321no—
1754D4—6321no—
1755D4—6321no—
1756D4—1582no—
1757D4—1582no—
1758D4—1581no—
1759D4—1581no—
1760D4—1581no—
1761D4—1581no—
1762D4—1581no—
1763D4—1581no—
1764D4#1457920612yes—
1765C2×C4—24no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—41no—
1779C2×C4—41no—
1780C2×C4—41no—
1781C2×C4—42no—
1782C2×C4—42no—
1783C2×C4—42no—
1784C2×C4—42no—
1785C2×C4—81no—
1786C2×C4—81no—
1787C2×C4—3162no—
1788C2×C4—3162no—
1789C2×C4—3162no—
1790C2×C4—3161no—
1791C2×C4—3161no—
1792C2×C4—3162no—
1793C2×C4—3162no—
1794C2×C4—3162no—
1795C2×C4—3161no—
1796C2×C4—3161no—
1797C2×C4—3161no—
1798C2×C4—791no—
1799C2×C4—791no—
1800C2×C4—791no—
1801C2×C4—791no—
1802C2×C4—791no—
1803C2×C4—791no—
1804C2×C4—6321no—
1805C2×C4—6321no—
1806C2×C4—6321no—
1807C2×C4—6321no—
1808C2×C4—6321no—
1809C2×C4—1581no—
1810C2×C4—1581no—
1811C2×C4—1581no—
1812C2×C4—1581no—
1813C2×C4—1581no—
1814C2×C4—1581no—
1815C2×C4—1581no—
1816C2×C4—1581no—
1817C2×C4—1581no—
1818C2×C4C2×D4×D7911yescharacteristic
1819C2×C4C2×D4×D7911yescharacteristic
1820C2×C4C2×D4×D7911yescharacteristic
1821C2×C4C24×D7911yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—1581no—
1827C8—1581no—
1828C8—1581no—
1829C8—1581no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—22no—
1834C22—21no—
1835C22—21no—
1836C22—21no—
1837C22—21no—
1838C22—21no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—82no—
1845C22—84no—
1846C22—3161no—
1847C22—3161no—
1848C22—3161no—
1849C22—3161no—
1850C22—3161no—
1851C22—3161no—
1852C22—3161no—
1853C22—3161no—
1854C22—3161no—
1855C22—6322no—
1856C22—6324no—
1857C22—1581no—
1858C22—1581no—
1859C22—1581no—
1860C22—1581no—
1861C22—1581no—
1862C22—1581no—
1863C22—12642no—
1864C22#1909936212yes—
1865C22C22×D4×D7911yescharacteristic
1866C4—21no—
1867C4—22no—
1868C4—21no—
1869C4—21no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—3161no—
1876C4—3161no—
1877C4—3161no—
1878C4—3161no—
1879C4—3161no—
1880C4—1581no—
1881C4—1581no—
1882C4—1581no—
1883C4—1581no—
1884C4—1581no—
1885C4—1581no—
1886C4C2×#1457920611yescharacteristic
1887C4C2×#1457920611yescharacteristic
1888C2—22no—
1889C2—41no—
1890C2—41no—
1891C2—42no—
1892C2—81no—
1893C2—3161no—
1894C2—3161no—
1895C2—6321no—
1896C2—6321no—
1897C2—6321no—
1898C2#2377702911yescharacteristic
1899C2C2×#1909936211yescharacteristic
1900C2#2377816911yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC2×#452×C79C2
socleC22×C79C23×D4
hypercenterC2×#452D79
hypocenterC79#61606
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#452

Complements

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

NH ≅ G/Ntype
1. #23777241C2semidirect
2. #41×C22⋊D79C2semidirect
3. #23775661C2semidirect
4. #23775609C2semidirect
5. #23775567C2semidirect
6. #23775537C2semidirect
7. #23775519C2semidirect
8. #23775489C2semidirect
9. #23775298C2semidirect
10. #23775246C2semidirect
11. #23775141C2semidirect
12. #23775107C2semidirect
13. #23775024C2semidirect
14. #23775004C2semidirect
15. #23774970C2semidirect
16. #23774943C2semidirect
17. #23774928C2semidirect
18. #23774895C2semidirect
19. #23774441C2semidirect
20. #23774379C2semidirect
21. #23774241C2semidirect
22. #23774230C2semidirect
23. #23774192C2semidirect
24. #23774167C2semidirect
25. #23773510C2semidirect
26. #23773419C2semidirect
27. #23772652C2semidirect
28. #23772643C2semidirect
29. #23772621C2semidirect
30. #23772431C2semidirect
31. C2×#452×C79C2semidirect
32. C2×#41×D79C22semidirect
33. C2×#14579193C22semidirect
34. C2×#14579188C22semidirect
35. C2×#14579186C22semidirect
36. C2×#14579186C22semidirect
37. C2×#14579184C22semidirect
38. C2×#14579182C22semidirect
42. #19099261C22semidirect
43. #19099255C22semidirect
44. #19099255C22semidirect
48. Q8×C22⋊D79C22semidirect
50. #19099224C22semidirect
51. #19099224C22semidirect
56. #19099207C22semidirect
57. #19099204C22semidirect
58. #19099204C22semidirect
62. D4×C22⋊D79C22semidirect
67. #19099109C22semidirect
68. #19099099C22semidirect
69. #19099099C22semidirect
70. #19099076C22semidirect
71. #19099076C22semidirect
75. #19099070C22semidirect
76. C2×#14579135C22semidirect
78. #41×Dic79C22semidirect
81. #19098956C22semidirect
82. #19098949C22semidirect
83. #19098948C22semidirect
84. #19098944C22semidirect
85. #19098930C22semidirect
86. #19098926C22semidirect
87. #19098919C22semidirect
88. #19098916C22semidirect
89. #19098903C22semidirect
90. #19098902C22semidirect
91. #19098901C22semidirect
92. #19098901C22semidirect
93. #19098899C22semidirect
94. #19098898C22semidirect
95. #19098888C22semidirect
96. #19098888C22semidirect
97. #19098886C22semidirect
98. #19098885C22semidirect
99. #19098882C22semidirect
100. #19098881C22semidirect
101. #19098872C22semidirect
102. #19098868C22semidirect
103. #19098865C22semidirect
104. #19098861C22semidirect
105. #19098819C22semidirect
106. #19098819C22semidirect
107. #19098818C22semidirect
108. #19098815C22semidirect
109. #19098812C22semidirect
110. #19098811C22semidirect
111. #19098811C22semidirect
112. #19098806C22semidirect
113. #19098801C22semidirect
114. #19098799C22semidirect
115. #19098799C22semidirect
116. #19098798C22semidirect
117. #19098795C22semidirect
118. #19098792C22semidirect
119. #19098792C22semidirect
120. #19098789C22semidirect
121. #19098787C22semidirect
122. #19098787C22semidirect
123. #19098787C22semidirect
124. #19098783C22semidirect
125. #19098781C22semidirect
126. #19098780C22semidirect
127. #19098780C22semidirect
128. #19098777C22semidirect
129. #19098771C22semidirect
130. #19098767C22semidirect
131. #19098761C22semidirect
132. #19098757C22semidirect
133. #19098724C22semidirect
134. #19098724C22semidirect
135. #19098724C22semidirect
136. #19098723C22semidirect
137. #19098723C22semidirect
138. #19098722C22semidirect
139. #19098719C22semidirect
140. #19098717C22semidirect
141. #19098716C22semidirect
142. #19098712C22semidirect
143. #19098711C22semidirect
144. #19098710C22semidirect
145. #19098710C22semidirect
146. #19098709C22semidirect
149. #19098708C22semidirect
150. #19098708C22semidirect
151. #19098707C22semidirect
152. #19098707C22semidirect
153. #19098703C22semidirect
154. #19098702C22semidirect
155. #19098702C22semidirect
156. #19098702C22semidirect
157. #19098699C22semidirect
158. #19098698C22semidirect
159. #19098697C22semidirect
160. #19098697C22semidirect
161. #19098672C22semidirect
162. #19098670C22semidirect
163. #19098666C22semidirect
164. #19098664C22semidirect
165. Q16×Dic79C22semidirect
166. SD16×Dic79C22semidirect
167. #19098648C22semidirect
168. #19098643C22semidirect
169. #19098638C22semidirect
170. #19098638C22semidirect
171. #19098637C22semidirect
172. #19098637C22semidirect
173. #19098634C22semidirect
174. #19098634C22semidirect
175. C8×C22⋊D79C22semidirect
176. C8×C22⋊D79C22semidirect
177. #19098617C22semidirect
178. #19098613C22semidirect
179. #19098570C22semidirect
180. #19098566C22semidirect
181. #19098564C22semidirect
182. #19098564C22semidirect
183. #19098558C22semidirect
184. #19098556C22semidirect
185. #19098527C22semidirect
186. #19098525C22semidirect
187. C22⋊C8×D79C22semidirect
189. C22×Q16×C79C22semidirect
190. C22×SD16×C79C22semidirect
191. C2×C22⋊Q8×C79C22semidirect
192. #452×C79C22semidirect
193. #452×C79C22semidirect
194. #452×C79C22semidirect
195. #452×C79C22semidirect
196. #452×C79C22semidirect
197. #452×C79C22semidirect
198. #452×C79C22semidirect
199. #452×C79C22semidirect
200. C2×#103×C79C22semidirect
201. C2×#102×C79C22semidirect
202. C2×C22⋊C8×C79C22semidirect
980. C2×#452D79semidirect
982. C79#61606semidirect
991. C22×Q16C2×D79semidirect
992. C22×SD16C2×D79semidirect
1030. C2×C22⋊Q8C2×D79semidirect
1094. #452C2×D79semidirect
1095. #452C2×D79semidirect
1096. #452C2×D79semidirect
1097. #452C2×D79semidirect
1098. #452C2×D79semidirect
1099. #452C2×D79semidirect
1100. #452C2×D79semidirect
1101. #452C2×D79semidirect
1148. C2×#103C2×D79semidirect
1149. C2×#102C2×D79semidirect
1153. C2×C22⋊C8C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237772412
#41×C22⋊D792
#237756612
#237756092
#237755672
#237755372
#237755192
#237754892
#237752982
#237752462
#237751412
#237751072
#237750242
#237750042
#237749702
#237749432
#237749282
#237748952
#237744412
#237743792
#237742412
#237742302
#237741922
#237741672
#237735102
#237734192
#237726522
#237726432
#237726212
#237724312
C2×#452×C792
#6160679