Finite Group Databasebeta

← #35181538

Subgroups — #35181538

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#23777726C211yesmaximal, characteristic, complemented
2#23777338C211yesmaximal, characteristic, complemented
3#23776485C211yesmaximal, characteristic, complemented
4#23776447C211yesmaximal, characteristic, complemented
5#23776159C211yesmaximal, characteristic, complemented
6#23776104C211yesmaximal, characteristic, complemented
7#23775545C211yesmaximal, characteristic, complemented
8#23775420C211yesmaximal, characteristic, complemented
9#23775399C211yesmaximal, characteristic, complemented
10#23775354C211yesmaximal, characteristic, complemented
11#23775234C211yesmaximal, characteristic, complemented
12#23775206C211yesmaximal, characteristic, complemented
13#23775083C211yesmaximal, characteristic, complemented
14#23775075C211yesmaximal, characteristic, complemented
15#23774933C211yesmaximal, characteristic, complemented
16#23774879C211yesmaximal, characteristic, complemented
17#23774878C211yesmaximal, characteristic, complemented
18#23774878C211yesmaximal, characteristic, complemented
19#23774835C211yesmaximal, characteristic, complemented
20#23774807C211yesmaximal, characteristic, complemented
21#23774749C211yesmaximal, characteristic, complemented
22#23774493C211yesmaximal, characteristic, complemented
23#23774417C211yesmaximal, characteristic, complemented
24#23773641C211yesmaximal, characteristic, complemented
25#23773601C211yesmaximal, characteristic, complemented
26#23773537C211yesmaximal, characteristic, complemented
27#23772935C211yesmaximal, characteristic, complemented
28#23772901C211yesmaximal, characteristic, complemented
29#459×D79C211yesmaximal, characteristic, complemented
30#23772534C211yesmaximal, characteristic, complemented
31C79×#3220C211yesmaximal, characteristic, complemented
32C2×#14579188C2211yescharacteristic, complemented
33C2×#14579187C2211yescharacteristic, complemented
34C2×#14579181C2211yescharacteristic, complemented
35C2×D8×D79C2211yescharacteristic, complemented
36C2×D8×D79C2211yescharacteristic, complemented
37C2×D8×D79C2211yescharacteristic, complemented
38#19099302—21no—
39#19099301—21no—
40#19099299C2211yescharacteristic, complemented
41#19099295C2211yescharacteristic, complemented
42#19099269C2211yescharacteristic, complemented
43#19099265C2211yescharacteristic, complemented
44#19099260—21no—
45#19099251C2211yescharacteristic, complemented
46#19099241—21no—
47#19099236—21no—
48#19099233C2211yescharacteristic, complemented
49#19099232C2211yescharacteristic, complemented
50#19099213C2211yescharacteristic, complemented
51#19099210C2211yescharacteristic, complemented
52#19099210C2211yescharacteristic, complemented
53#19099206C2211yescharacteristic
54#19099202—21no—
55#19099202—21no—
56#19099201C2211yescharacteristic, complemented
57#19099198C2211yescharacteristic
58#19099198C2211yescharacteristic, complemented
59D4×C22⋊D79C2211yescharacteristic, complemented
60D4×C22⋊D79C2211yescharacteristic, complemented
61#19099195—21no—
62#19099178C2211yescharacteristic, complemented
63#19099168C2211yescharacteristic, complemented
64#19099167C2211yescharacteristic, complemented
65#19099163—21no—
66#19099156—21no—
67#19099145—21no—
68#19099131C2211yescharacteristic, complemented
69#19099128—21no—
70#19099123—21no—
71#19099121—21no—
72#127×D79C2211yescharacteristic, complemented
73#19099095C2211yescharacteristic, complemented
74#19099092C2211yescharacteristic, complemented
75#19099091C2211yescharacteristic
76#19099073—21no—
77#123×D79—21no—
78#19099043C2211yescharacteristic, complemented
79#19099035C2211yescharacteristic, complemented
80C4×D4×D79C2211yescharacteristic, complemented
81#19098951C2211yescharacteristic, complemented
82#19098951C2211yescharacteristic, complemented
83#19098951C2211yescharacteristic, complemented
84#19098944C2211yescharacteristic, complemented
85#19098926C2211yescharacteristic, complemented
86#19098926C2211yescharacteristic, complemented
87#19098924C2211yescharacteristic, complemented
88#19098908C2211yescharacteristic, complemented
89#19098892C2211yescharacteristic, complemented
90#19098886C2211yescharacteristic, complemented
91#19098885C2211yescharacteristic, complemented
92#19098882C2211yescharacteristic, complemented
93#19098877C2211yescharacteristic, complemented
94#19098875C2211yescharacteristic, complemented
95#19098872C2211yescharacteristic, complemented
96#19098871C2211yescharacteristic, complemented
97#19098865C2211yescharacteristic, complemented
98#19098864C2211yescharacteristic, complemented
99#19098863C2211yescharacteristic, complemented
100#19098863C2211yescharacteristic, complemented
101#19098860C2211yescharacteristic, complemented
102#19098860C2211yescharacteristic, complemented
103#19098851C2211yescharacteristic, complemented
104#19098841C2211yescharacteristic, complemented
105#19098814C2211yescharacteristic, complemented
106#19098814C2211yescharacteristic, complemented
107#19098813C2211yescharacteristic, complemented
108#19098808C2211yescharacteristic, complemented
109#19098803C2211yescharacteristic, complemented
110#19098797C2211yescharacteristic, complemented
111#19098797C2211yescharacteristic, complemented
112#19098796C2211yescharacteristic
113#19098796C2211yescharacteristic, complemented
114#19098791C2211yescharacteristic, complemented
115#19098791C2211yescharacteristic, complemented
116#19098789C2211yescharacteristic, complemented
117#19098783C2211yescharacteristic, complemented
118#19098782C2211yescharacteristic, complemented
119#19098782C2211yescharacteristic, complemented
120#19098781C2211yescharacteristic, complemented
121#19098780C2211yescharacteristic, complemented
122#19098776C2211yescharacteristic, complemented
123#19098776C2211yescharacteristic, complemented
124#19098776C2211yescharacteristic, complemented
125#19098775C2211yescharacteristic, complemented
126#19098775C2211yescharacteristic, complemented
127#19098764C2211yescharacteristic, complemented
128#19098760C2211yescharacteristic, complemented
129#19098760C2211yescharacteristic, complemented
130#19098759C2211yescharacteristic, complemented
131#19098758C2211yescharacteristic, complemented
132#19098758C2211yescharacteristic, complemented
133#19098757C2211yescharacteristic
134#19098757C2211yescharacteristic, complemented
135#19098757C2211yescharacteristic, complemented
136#19098756C2211yescharacteristic, complemented
137#19098756C2211yescharacteristic, complemented
138#19098756C2211yescharacteristic, complemented
139#19098755C2211yescharacteristic, complemented
140#19098755C2211yescharacteristic, complemented
141#19098755C2211yescharacteristic, complemented
142#19098755C2211yescharacteristic, complemented
143#19098728C2211yescharacteristic, complemented
144#19098715C2211yescharacteristic, complemented
145#19098715C2211yescharacteristic, complemented
146#19098715C2211yescharacteristic, complemented
147#19098712C2211yescharacteristic, complemented
148#19098710C2211yescharacteristic, complemented
149#19098710C2211yescharacteristic, complemented
150#19098707C2211yescharacteristic, complemented
151#19098695C2211yescharacteristic
152#19098695C2211yescharacteristic, complemented
153#19098695C2211yescharacteristic, complemented
154#19098695C2211yescharacteristic, complemented
155#19098695C2211yescharacteristic, complemented
156#19098695C2211yescharacteristic, complemented
157#19098693C2211yescharacteristic, complemented
158#19098691C2211yescharacteristic, complemented
159#19098676C2211yescharacteristic, complemented
160#19098675C2211yescharacteristic, complemented
161#19098675C2211yescharacteristic, complemented
162#19098672C2211yescharacteristic, complemented
163#19098672C2211yescharacteristic, complemented
164#19098666C2211yescharacteristic, complemented
165#19098665C2211yescharacteristic, complemented
166#19098664C2211yescharacteristic, complemented
167C4×#11929613C2211yescharacteristic, complemented
168C4×D632C2211yescharacteristic, complemented
169D8×Dic79C2211yescharacteristic, complemented
170#19098643C2211yescharacteristic, complemented
171#19098637C2211yescharacteristic, complemented
172#19098637C2211yescharacteristic, complemented
173#19098636C2211yescharacteristic, complemented
174#19098631C2211yescharacteristic, complemented
175C8×D316C2211yescharacteristic, complemented
176(C22⋊D79)⋊C8C2211yescharacteristic, complemented
177#19098623C2211yescharacteristic, complemented
178#19098619C2211yescharacteristic, complemented
179#19098590C2211yescharacteristic, complemented
180#19098588C2211yescharacteristic, complemented
181C4⋊C8×D79C2211yescharacteristic, complemented
182#19098566C2211yescharacteristic, complemented
183#19098564C2211yescharacteristic, complemented
184#19098558C2211yescharacteristic, complemented
185C2×#14579082C2211yescharacteristic, complemented
186#102×D79C2211yescharacteristic, complemented
187#102×D79C2211yescharacteristic, complemented
188#540×C79C2211yescharacteristic, complemented
189#535×C79C2211yescharacteristic, complemented
190#496×C79C2211yescharacteristic, complemented
191#493×C79C2211yescharacteristic, complemented
192#490×C79C2211yescharacteristic, complemented
193#488×C79C2211yescharacteristic, complemented
194#463×C79C2211yescharacteristic, complemented
195#463×C79C2211yescharacteristic, complemented
196#459×C79C2211yescharacteristic, complemented
197#459×C79C2211yescharacteristic, complemented
198#449×C79C2211yescharacteristic, complemented
199#449×C79C2211yescharacteristic, complemented
200#447×C79C2211yescharacteristic, complemented
201#447×C79C2211yescharacteristic, complemented
202#433×C79C2211yescharacteristic, complemented
203C2×#11929625C2311yescharacteristic
204C2×#11929624C2311yescharacteristic
205C2×#11929623—21no—
206C2×#11929623—21no—
207C22×C22⋊D79—21no—
208C22×C22⋊D79—21no—
209C2×D4×D79—21no—
210C2×D4×D79—21no—
211C2×D4×D79—21no—
212C2×D4×D79—21no—
213C2×D4×D79C2311yescharacteristic
214C2×D4×D79C2311yescharacteristic
215C2×D4×D79C2311yescharacteristic
216C2×D4×D79C2311yescharacteristic
217C2×D4×D79C2311yescharacteristic
218C22×C4×D79—21no—
219#14579188—42no—
220#14579187—42no—
221#14579181—42no—
222C2×#11929614C2311yescharacteristic
223C2×#11929613C2311yescharacteristic
224C2×#11929613C2311yescharacteristic
225C2×#11929612C2311yescharacteristic
226C2×#11929612C2311yescharacteristic
227C2×#11929612C2311yescharacteristic
228C2×#11929611C2311yescharacteristic
229C2×D632C2311yescharacteristic
230C2×D632C2311yescharacteristic
231C2×#11929609C2311yescharacteristic
232C2×#11929609C2311yescharacteristic
233C2×#11929609C2311yescharacteristic
234C2×#11929609C2311yescharacteristic
235C2×#11929609C2311yescharacteristic
236C2×#11929609C2311yescharacteristic
237C2×#11929609C2311yescharacteristic
238D8×D79—42no—
239D8×D79—42no—
240D8×D79—42no—
241C2×#11929608C2311yescharacteristic
242C2×#11929607C2311yescharacteristic
243C22×C79⋊C8C2311yescharacteristic
244C2×C8×D79C2311yescharacteristic
245C2×C8×D79C2311yescharacteristic
246C2×C8×D79C2311yescharacteristic
247#14579160C2311yescharacteristic
248#14579158C2311yescharacteristic
249#14579157—21no—
250#14579157—21no—
251#14579157—21no—
252#14579157C2311yescharacteristic
253#14579157C2311yescharacteristic
254#14579157C2311yescharacteristic
255#14579156—21no—
256#14579156D411yescharacteristic
257#14579154—21no—
258#14579154—21no—
259#14579154—21no—
260#14579154—21no—
261#14579154D411yescharacteristic
262#14579153C2311yescharacteristic
263#14579152—21no—
264#14579152C2311yescharacteristic
265#14579151D411yescharacteristic
266#14579150C2311yescharacteristic
267#14579148—21no—
268#14579148C2311yescharacteristic
269#14579148C2311yescharacteristic
270#14579147—21no—
271#14579147—21no—
272#14579147D411yescharacteristic
273#14579146—21no—
274#14579146—21no—
275#14579146—21no—
276#14579146D411yescharacteristic
277#14579145—21no—
278#14579145—21no—
279#14579144—21no—
280#14579144—21no—
281#14579143—21no—
282#14579143—21no—
283#14579143—21no—
284#14579143—21no—
285#14579143—21no—
286#14579143—21no—
287#14579143—21no—
288#14579143D411yescharacteristic
289#14579142—21no—
290#14579142—21no—
291#14579142—21no—
292#14579142—21no—
293#14579142—21no—
294#14579141—21no—
295#14579141C2311yescharacteristic
296#14579141C2311yescharacteristic
297#14579140—21no—
298#14579139—21no—
299#14579139—21no—
300#14579139D411yescharacteristic
301#14579138—21no—
302#14579137C2311yescharacteristic
303#14579135—21no—
304#14579135C2311yescharacteristic
305#14579135C2311yescharacteristic
306#14579134—21no—
307#14579134—21no—
308#14579134—21no—
309#14579134—21no—
310#14579134—21no—
311#14579134D411yescharacteristic
312#14579133—21no—
313#14579133—21no—
314#14579133—21no—
315#14579133—21no—
316#14579133—21no—
317#14579133—21no—
318#14579133—21no—
319#14579133—21no—
320#14579132—21no—
321#14579132—21no—
322#14579132—21no—
323#14579132—21no—
324#14579132—21no—
325#14579132—21no—
326#14579132C2311yescharacteristic
327#14579132C2311yescharacteristic
328#14579132C2311yescharacteristic
329#14579132C2311yescharacteristic
330#14579132C2311yescharacteristic
331#14579131—21no—
332#14579131—21no—
333#14579131—21no—
334#14579130—21no—
335#14579130—21no—
336#14579129—21no—
337#14579129—21no—
338#14579129—21no—
339#14579129—21no—
340#14579129—21no—
341#14579129—21no—
342#14579129—21no—
343#14579129—21no—
344#14579129—21no—
345Q8×Dic79C2311yescharacteristic
346C4×Dic158C2311yescharacteristic
347C4×Dic158C2311yescharacteristic
348C4×Dic158C2311yescharacteristic
349C4×D316C2311yescharacteristic
350C4×D316C2311yescharacteristic
351C4×D316C2311yescharacteristic
352C4×D316C2311yescharacteristic
353C4×D316C2311yescharacteristic
354D4×Dic79—21no—
355D4×Dic79—21no—
356D4×Dic79C2311yescharacteristic
357D4×Dic79C2311yescharacteristic
358D4×Dic79C2311yescharacteristic
359D4×Dic79C2311yescharacteristic
360D4×Dic79C2311yescharacteristic
361#14579123C2311yescharacteristic
362#14579123C2311yescharacteristic
363C4×C22⋊D79—21no—
364C4×C22⋊D79—21no—
365C4×C22⋊D79—21no—
366C4×C22⋊D79—21no—
367C4×C22⋊D79C2311yescharacteristic
368C4×C22⋊D79C2311yescharacteristic
369(C22⋊D79)⋊C4—21no—
370(C22⋊D79)⋊C4—21no—
371(C22⋊D79)⋊C4—21no—
372(C22⋊D79)⋊C4—21no—
373(C22⋊D79)⋊C4—21no—
374(C22⋊D79)⋊C4—21no—
375#14579120—21no—
376#14579119—21no—
377#14579119—21no—
378#14579119C2311yescharacteristic
379#14579118C2311yescharacteristic
380#14579117—21no—
381C2×C4⋊Dic79C2311yescharacteristic
382C4⋊C4×D79—21no—
383C4⋊C4×D79—21no—
384C4⋊C4×D79C2311yescharacteristic
385C2×(C2×D79)⋊C4—21no—
386C2×(C2×D79)⋊C4—21no—
387C22⋊C4×D79—21no—
388C22⋊C4×D79—21no—
389C22⋊C4×D79—21no—
390C22⋊C4×D79—21no—
391C22⋊C4×D79—21no—
392C42×D79C2311yescharacteristic
393#14579095C2311yescharacteristic
394#14579095C2311yescharacteristic
395#14579094C2311yescharacteristic
396#14579094C2311yescharacteristic
397#14579093C2311yescharacteristic
398#14579093C2311yescharacteristic
399#14579092C2311yescharacteristic
400#14579092C2311yescharacteristic
401C4⋊(C79⋊C8)C2311yescharacteristic
402C4⋊(C79⋊C8)C2311yescharacteristic
403C4⋊(C79⋊C8)C2311yescharacteristic
404C4⋊(C79⋊C8)C2311yescharacteristic
405Dic79⋊C8C2311yescharacteristic
406Dic79⋊C8C2311yescharacteristic
407Dic79⋊C8C2311yescharacteristic
408Dic79⋊C8C2311yescharacteristic
409#14579086C2311yescharacteristic
410#14579086C2311yescharacteristic
411#14579085C2311yescharacteristic
412#14579085C2311yescharacteristic
413#14579083C2311yescharacteristic
414#14579083C2311yescharacteristic
415#14579083C2311yescharacteristic
416#14579083C2311yescharacteristic
417#14579083C2311yescharacteristic
418#14579083C2311yescharacteristic
419#14579082C2311yescharacteristic
420#14579082C2311yescharacteristic
421#14579082C2311yescharacteristic
422#14579082C2311yescharacteristic
423#14579082C2311yescharacteristic
424#14579082C2311yescharacteristic
425#14579082C2311yescharacteristic
426#14579082C2311yescharacteristic
427#14579082C2311yescharacteristic
428#14579082C2311yescharacteristic
429#14579081C2311yescharacteristic
430#14579081C2311yescharacteristic
431#14579081C2311yescharacteristic
432#14579081C2311yescharacteristic
433(C2×D79)⋊C8C2311yescharacteristic
434(C2×D79)⋊C8C2311yescharacteristic
435(C2×D79)⋊C8C2311yescharacteristic
436(C2×D79)⋊C8C2311yescharacteristic
437#14579071C2311yescharacteristic
438#14579071C2311yescharacteristic
439#14579071C2311yescharacteristic
440C8×Dic79C2311yescharacteristic
441C2×#41×C79C2311yescharacteristic
442C22×D4×C79C2311yescharacteristic
443C2×SD16×C79C2311yescharacteristic
444C2×SD16×C79C2311yescharacteristic
445C2×D8×C79C2311yescharacteristic
446C2×D8×C79C2311yescharacteristic
447C2×D8×C79C2311yescharacteristic
448C2×D8×C79C2311yescharacteristic
449C2×D8×C79C2311yescharacteristic
450C2×D8×C79C2311yescharacteristic
451#127×C79C2311yescharacteristic
452#127×C79C2311yescharacteristic
453#127×C79C2311yescharacteristic
454#125×C79C2311yescharacteristic
455#124×C79C2311yescharacteristic
456#124×C79C2311yescharacteristic
457#123×C79—21no—
458#123×C79—21no—
459#121×C79—21no—
460#121×C79—21no—
461#121×C79—21no—
462#121×C79—21no—
463#121×C79C2311yescharacteristic
464#121×C79C2311yescharacteristic
465#120×C79—21no—
466#120×C79—21no—
467C4×D4×C79C2311yescharacteristic
468C4×D4×C79C2311yescharacteristic
469#117×C79C2311yescharacteristic
470C4⋊C8×C79C2311yescharacteristic
471C4⋊C8×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
480C22⋊C8×C79C2311yescharacteristic
481C22⋊C8×C79C2311yescharacteristic
482#97×C79C2311yescharacteristic
483C4×C8×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#11929623—82no—
494#11929623—82no—
495C2×Dic158—21no—
496C2×Dic158C2×D411yescharacteristic
497C2×Dic158C2411yescharacteristic
498C2×D316—21no—
499C2×D316—21no—
500C2×D316—21no—
501C2×D316C2×D411yescharacteristic
502C2×D316C2411yescharacteristic
503C2×D316C2411yescharacteristic
504C2×D316C2411yescharacteristic
505C2×C22⋊D79—21no—
506C2×C22⋊D79—21no—
507C2×C22⋊D79—21no—
508C2×C22⋊D79—21no—
509C2×C22⋊D79—21no—
510C2×C22⋊D79—21no—
511C2×C22⋊D79—21no—
512C2×C22⋊D79—21no—
513C2×C22⋊D79—21no—
514C2×C22⋊D79—21no—
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—82no—
525C2×C22⋊D79—82no—
526C2×C22⋊D79C2×D411yescharacteristic
527C2×C22⋊D79C2×D411yescharacteristic
528D4×D79—22no—
529D4×D79—22no—
530D4×D79—41no—
531D4×D79—41no—
532D4×D79—41no—
533D4×D79—41no—
534D4×D79—41no—
535D4×D79—41no—
536D4×D79—41no—
537D4×D79—41no—
538D4×D79—82no—
539D4×D79—82no—
540D4×D79—82no—
541D4×D79—82no—
542C22×Dic79—21no—
543C22×Dic79—21no—
544C22×Dic79—21no—
545C22×Dic79—21no—
546C22×Dic79—21no—
547C22×Dic79—21no—
548C2×C4×D79—21no—
549C2×C4×D79—21no—
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—82no—
558C2×C4×D79C2×D411yescharacteristic
559C2×C4×D79C2×D411yescharacteristic
560C2×C4×D79C2411yescharacteristic
561C2×C4×D79C2411yescharacteristic
562#11929614—41no—
563#11929613—41no—
564#11929613—41no—
565#11929612—41no—
566#11929612—41no—
567#11929612—41no—
568#11929611—22no—
569D632—22no—
570D632—22no—
571#11929609—22no—
572#11929609—22no—
573#11929609—22no—
574#11929609—41no—
575#11929609—41no—
576#11929609—41no—
577#11929609—41no—
578#11929608—41no—
579#11929607—41no—
580C2×C79⋊C8—41no—
581C2×C79⋊C8C2411yescharacteristic
582C2×C79⋊C8C2411yescharacteristic
583C2×C79⋊C8C2411yescharacteristic
584C2×C79⋊C8C2411yescharacteristic
585C8×D79—41no—
586C8×D79—41no—
587C8×D79—41no—
588C4⋊Dic79—21no—
589C4⋊Dic79—21no—
590C4⋊Dic79—21no—
591C4⋊Dic79—21no—
592C4⋊Dic79—21no—
593C4⋊Dic79C2×D411yescharacteristic
594C4⋊Dic79C2×D411yescharacteristic
595C4⋊Dic79C2411yescharacteristic
596C4⋊Dic79C2411yescharacteristic
597C4⋊Dic79C2411yescharacteristic
598C4⋊Dic79C2411yescharacteristic
599Dic79⋊C4—21no—
600Dic79⋊C4—21no—
601Dic79⋊C4—21no—
602Dic79⋊C4—21no—
603Dic79⋊C4—21no—
604Dic79⋊C4—21no—
605Dic79⋊C4—21no—
606Dic79⋊C4—21no—
607Dic79⋊C4C2×D411yescharacteristic
608Dic79⋊C4C2×D411yescharacteristic
609Dic79⋊C4C2×D411yescharacteristic
610Dic79⋊C4C2×D411yescharacteristic
611Dic79⋊C4C2×D411yescharacteristic
612Dic79⋊C4C2×D411yescharacteristic
613C22⋊Dic79—21no—
614C22⋊Dic79—21no—
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⋊Dic79—21no—
625C22⋊Dic79—21no—
626C22⋊Dic79—21no—
627C22⋊Dic79C2×D411yescharacteristic
628C22⋊Dic79C2×D411yescharacteristic
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)⋊C4C2×D411yescharacteristic
644(C2×D79)⋊C4C2×D411yescharacteristic
645(C2×D79)⋊C4C2×D411yescharacteristic
646(C2×D79)⋊C4C2×D411yescharacteristic
647(C2×D79)⋊C4C2×D411yescharacteristic
648(C2×D79)⋊C4C2×D411yescharacteristic
649C4×Dic79—21no—
650C4×Dic79—21no—
651C4×Dic79—21no—
652C4×Dic79—21no—
653C4×Dic79C2×D411yescharacteristic
654C4×Dic79C2×D411yescharacteristic
655C4×Dic79C2411yescharacteristic
656C4×Dic79C2411yescharacteristic
657C24×C79—21no—
658#41×C79—41no—
659#41×C79—41no—
660C2×Q8×C79C2411yescharacteristic
661C2×D4×C79—21no—
662C2×D4×C79—21no—
663C2×D4×C79—21no—
664C2×D4×C79—21no—
665C2×D4×C79—21no—
666C2×D4×C79—21no—
667C2×D4×C79—21no—
668C2×D4×C79—21no—
669C2×D4×C79—21no—
670C2×D4×C79—21no—
671C2×D4×C79—41no—
672C2×D4×C79—41no—
673C2×D4×C79C2411yescharacteristic
674C2×D4×C79C2411yescharacteristic
675C2×D4×C79C2411yescharacteristic
676C2×D4×C79C2411yescharacteristic
677C2×D4×C79C2411yescharacteristic
678C22×C4×C79—21no—
679C22×C4×C79—21no—
680C22×C4×C79—21no—
681C22×C4×C79C2411yescharacteristic
682SD16×C79—41no—
683SD16×C79—41no—
684D8×C79—41no—
685D8×C79—41no—
686D8×C79—41no—
687D8×C79—41no—
688D8×C79—41no—
689D8×C79—41no—
690C2×C8×C79C2411yescharacteristic
691C2×C8×C79C2411yescharacteristic
692C2×C8×C79C2411yescharacteristic
693C2×C8×C79C2411yescharacteristic
694C4⋊C4×C79—21no—
695C4⋊C4×C79—21no—
696C4⋊C4×C79C2×D411yescharacteristic
697C4⋊C4×C79C2×D411yescharacteristic
698C4⋊C4×C79C2411yescharacteristic
699C4⋊C4×C79C2411yescharacteristic
700C22⋊C4×C79—21no—
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×C79C2×D411yescharacteristic
709C22⋊C4×C79C2×D411yescharacteristic
710C42×C79C2411yescharacteristic
711C42×C79C2411yescharacteristic
712C23×C79—21no—
713C23×C79—21no—
714C23×C79—21no—
715C23×C79—21no—
716C23×C79—21no—
717C23×C79—81no—
718C23×C79—81no—
719C23×C79—81no—
720C23×C79C22×D411yescharacteristic
721C22×D79—21no—
722C22×D79—21no—
723C22×D79—21no—
724C22×D79—42no—
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×D79C22×D411yescharacteristic
740C22×D79C22×D411yescharacteristic
741Q8×C79—21no—
742Q8×C79—21no—
743D4×C79—21no—
744D4×C79—21no—
745D4×C79—21no—
746D4×C79—21no—
747D4×C79—21no—
748D4×C79—21no—
749D4×C79—21no—
750D4×C79—21no—
751D4×C79—21no—
752D4×C79—21no—
753D4×C79—81no—
754D4×C79—81no—
755D4×C79—81no—
756D4×C79—81no—
757D4×C79—81no—
758D4×C79—81no—
759D4×C79—81no—
760D4×C79—81no—
761D4×C79—81no—
762D4×C79—81no—
763C2×C4×C79—21no—
764C2×C4×C79—21no—
765C2×C4×C79—21no—
766C2×C4×C79—21no—
767C2×C4×C79—21no—
768C2×C4×C79—81no—
769C2×C4×C79—81no—
770C2×C4×C79—81no—
771C2×C4×C79C22×D411yescharacteristic
772C2×C4×C79C22×D411yescharacteristic
773C2×C4×C79C22×D411yescharacteristic
774C2×C4×C79C22×D411yescharacteristic
775C2×C4×C79C22×D411yescharacteristic
776C2×C4×C79C2511yescharacteristic
777C22⋊D79—22no—
778C22⋊D79—41no—
779C22⋊D79—42no—
780C22⋊D79—42no—
781C22⋊D79—42no—
782C22⋊D79—42no—
783C22⋊D79—42no—
784C22⋊D79—42no—
785C22⋊D79—42no—
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—
796C22⋊D79—81no—
797C22⋊D79—81no—
798C2×Dic79—21no—
799C2×Dic79—21no—
800C2×Dic79—21no—
801C2×Dic79—21no—
802C2×Dic79—21no—
803C2×Dic79—42no—
804C2×Dic79—81no—
805C2×Dic79—81no—
806C2×Dic79—81no—
807C2×Dic79—81no—
808C2×Dic79—81no—
809C2×Dic79C22×D411yescharacteristic
810C2×Dic79C22×D411yescharacteristic
811C2×Dic79C22×D411yescharacteristic
812C2×Dic79C22×D411yescharacteristic
813C2×Dic79C22×D411yescharacteristic
814C2×Dic79C22×D411yescharacteristic
815D316—22no—
816D316—21no—
817D316—21no—
818D316—21no—
819D316—21no—
820D316—21no—
821D316—81no—
822D316—81no—
823D316—81no—
824D316H(5,𝔽2)12yes—
825C4×D79—22no—
826C4×D79—21no—
827C4×D79—21no—
828C4×D79—21no—
829C4×D79—21no—
830C4×D79—41no—
831C4×D79—42no—
832C4×D79—42no—
833C4×D79—81no—
834C4×D79—81no—
835C4×D79—81no—
836C4×D79—81no—
837C4×D79—81no—
838C4×D79—81no—
839C4×D79—81no—
840Dic158—21no—
841Dic158—21no—
842Dic158—41no—
843Dic158—81no—
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—41no—
856C22×C79—41no—
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—41no—
867C22×C79—41no—
868C22×C79—41no—
869C22×C79—41no—
870C22×C79—162no—
871C22×C79C23×D411yescharacteristic
872C2×D79—21no—
873C2×D79—21no—
874C2×D79—21no—
875C2×D79—22no—
876C2×D79—21no—
877C2×D79—21no—
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—84no—
887C2×D79—162no—
888C2×D79—162no—
889C2×D79—162no—
890C2×D79—162no—
891C2×D79#57612yes—
892C4×C79—21no—
893C4×C79—21no—
894C4×C79—21no—
895C4×C79—21no—
896C4×C79—21no—
897C4×C79—41no—
898C4×C79—41no—
899C4×C79—41no—
900C4×C79C2×H(5,𝔽2)11yescharacteristic
901C4×C79#58511yescharacteristic
902Dic79—21no—
903Dic79—21no—
904Dic79—21no—
905Dic79—21no—
906Dic79—21no—
907Dic79—21no—
908Dic79—41no—
909Dic79—41no—
910Dic79—41no—
911Dic79—41no—
912Dic79—41no—
913#62007—791nomaximal, Sylow
914C2×C79—41no—
915C2×C79—81no—
916C2×C79—81no—
917C2×C79—81no—
918C2×C79—81no—
919C2×C79—81no—
920C2×C79#348811yescharacteristic
921C2×C79C2×#57611yescharacteristic
922C2×C79#358511yescharacteristic
923D79—22no—
924D79—41no—
925D79—42no—
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#3306—791no—
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#3220D7911yescharacteristic, complemented
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#547—791no—
979#546—791no—
980#546—791no—
981#546—791no—
982#546—791no—
983#546—1581no—
984#546—1581no—
985D42—791no—
986D42—791no—
987D42—791no—
988D42—791no—
989D42—1581no—
990#542—791no—
991#540—791no—
992#540—791no—
993#540—1581no—
994#540C2×D7911yescharacteristic, complemented
995#539—1581no—
996#538—1581no—
997#535—791no—
998#535—1581no—
999#535C2×D7911yescharacteristic, complemented
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#496C2×D7911yescharacteristic, complemented
1015#495—791no—
1016#493C2×D7911yescharacteristic, complemented
1017#490—791no—
1018#490—791no—
1019#490C2×D7911yescharacteristic, complemented
1020#489—791no—
1021#488C2×D7911yescharacteristic, complemented
1022#486—791no—
1023#483—791no—
1024#482—791no—
1025#482—791no—
1026#481—791no—
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#476—791no—
1038#474—791no—
1039#469—791no—
1040#469—791no—
1041#469—791no—
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#465—791no—
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#463C2×D7911yescharacteristic, complemented
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#459C2×D7911yescharacteristic, complemented
1080#459C2×D7911yescharacteristic, complemented
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#449C2×D7911yescharacteristic, complemented
1090#449C2×D7911yescharacteristic, complemented
1091#447—791no—
1092#447—791no—
1093#447—791no—
1094#447—791no—
1095#447—791no—
1096#447—791no—
1097#447C2×D7911yescharacteristic, complemented
1098#447C2×D7911yescharacteristic, complemented
1099#446—791no—
1100#446—791no—
1101#442—791no—
1102#442—791no—
1103#442—791no—
1104#442—791no—
1105#442—791no—
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#435—791no—
1117C8×D4—791no—
1118C8×D4—791no—
1119#433—791no—
1120#433C2×D7911yescharacteristic, complemented
1121#432—791no—
1122#424—791no—
1123#424—791no—
1124C2×C4⋊C8—791no—
1125#418—791no—
1126#417—791no—
1127#416—791no—
1128C2×#102—791no—
1129C2×#102—791no—
1130C2×#102—791no—
1131C2×#41—791no—
1132C2×#41—791no—
1133C2×#41—1581no—
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×SD16C22×D7911yescharacteristic
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×D8C22×D7911yescharacteristic
1174C2×D8C22×D7911yescharacteristic
1175C2×D8C22×D7911yescharacteristic
1176C2×D8C22×D7911yescharacteristic
1177C2×D8C22×D7911yescharacteristic
1178C2×D8C22×D7911yescharacteristic
1179C2×M16—791no—
1180C2×M16—791no—
1181C22×C8—791no—
1182C22×C8—791no—
1183C22×C8—791no—
1184C22×C8—791no—
1185C4⋊Q8—791no—
1186#127—791no—
1187#127—791no—
1188#127—791no—
1189#127—791no—
1190#127—1581no—
1191#127—1581no—
1192#127—1581no—
1193#127C22×D7911yescharacteristic
1194#127C22×D7911yescharacteristic
1195#127C22×D7911yescharacteristic
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—1581no—
1207#125C22×D7911yescharacteristic
1208#124—791no—
1209#124—791no—
1210#124—791no—
1211#124—791no—
1212#124—1581no—
1213#124—1581no—
1214#124—1581no—
1215#124C22×D7911yescharacteristic
1216#124C22×D7911yescharacteristic
1217#123—21no—
1218#123—21no—
1219#123—791no—
1220#123—791no—
1221#123—1581no—
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—791no—
1241C22⋊Q8—791no—
1242C22⋊Q8—791no—
1243C22⋊Q8—791no—
1244C22⋊Q8—1581no—
1245C22⋊Q8—1581no—
1246C22⋊Q8—1581no—
1247C22⋊Q8—1581no—
1248C22⋊Q8—1581no—
1249#121—21no—
1250#121—21no—
1251#121—21no—
1252#121—21no—
1253#121—791no—
1254#121—791no—
1255#121—791no—
1256#121—791no—
1257#121—791no—
1258#121—791no—
1259#121—791no—
1260#121—791no—
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#121—1581no—
1281#121C22×D7911yescharacteristic
1282#121C22×D7911yescharacteristic
1283#120—21no—
1284#120—21no—
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—791no—
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×D4—1581no—
1329C4×D4C22×D7911yescharacteristic
1330C4×D4C22×D7911yescharacteristic
1331#117—791no—
1332#117—791no—
1333#117—1581no—
1334#117—1581no—
1335#117—1581no—
1336#117—1581no—
1337#117C22×D7911yescharacteristic
1338C2×C4⋊C4—791no—
1339C2×C4⋊C4—791no—
1340C2×C4⋊C4—1581no—
1341C2×C4⋊C4—1581no—
1342C2×C22⋊C4—1581no—
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#106—791no—
1356#106—791no—
1357#106—791no—
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⋊C8C22×D7911yescharacteristic
1367C4⋊C8C22×D7911yescharacteristic
1368#103—791no—
1369#103—791no—
1370#103—791no—
1371#103—791no—
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#102—791no—
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×C8C22×D7911yescharacteristic
1412C24—21no—
1413C24—1581no—
1414C24—1581no—
1415C24—1581no—
1416C24—1581no—
1417C24—1581no—
1418#41—41no—
1419#41—41no—
1420#41—3161no—
1421#41—3161no—
1422#41—3161no—
1423#41—6322no—
1424#41—6322no—
1425#41—1582no—
1426C2×Q8—791no—
1427C2×Q8—791no—
1428C2×Q8—1581no—
1429C2×Q8C23×D7911yescharacteristic
1430C2×D4—21no—
1431C2×D4—21no—
1432C2×D4—21no—
1433C2×D4—21no—
1434C2×D4—21no—
1435C2×D4—21no—
1436C2×D4—21no—
1437C2×D4—21no—
1438C2×D4—21no—
1439C2×D4—21no—
1440C2×D4—41no—
1441C2×D4—41no—
1442C2×D4—3161no—
1443C2×D4—3161no—
1444C2×D4—3161no—
1445C2×D4—3161no—
1446C2×D4—3161no—
1447C2×D4—3161no—
1448C2×D4—3161no—
1449C2×D4—3161no—
1450C2×D4—791no—
1451C2×D4—791no—
1452C2×D4—791no—
1453C2×D4—791no—
1454C2×D4—791no—
1455C2×D4—791no—
1456C2×D4—6322no—
1457C2×D4—6322no—
1458C2×D4—6322no—
1459C2×D4—6322no—
1460C2×D4—6322no—
1461C2×D4—6322no—
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—1582no—
1475C2×D4—1582no—
1476C2×D4—1581no—
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×D4C23×D7911yescharacteristic
1487C2×D4C23×D7911yescharacteristic
1488C2×D4C23×D7911yescharacteristic
1489C2×D4C23×D7911yescharacteristic
1490C2×D4C23×D7911yescharacteristic
1491C22×C4—21no—
1492C22×C4—21no—
1493C22×C4—21no—
1494C22×C4—791no—
1495C22×C4—791no—
1496C22×C4—791no—
1497C22×C4—791no—
1498C22×C4—6322no—
1499C22×C4—1581no—
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×C4—1581no—
1514C22×C4C23×D7911yescharacteristic
1515Q16—3161no—
1516SD16—41no—
1517SD16—41no—
1518SD16—3161no—
1519SD16—3161no—
1520SD16—3161no—
1521SD16—3161no—
1522SD16—3161no—
1523SD16—1582no—
1524D8—41no—
1525D8—41no—
1526D8—41no—
1527D8—41no—
1528D8—41no—
1529D8—41no—
1530D8—3161no—
1531D8—3161no—
1532D8—3161no—
1533D8—3161no—
1534D8—1582no—
1535D8—1582no—
1536D8—1582no—
1537D8—1582no—
1538D8—1582no—
1539M16—3161no—
1540M16—3161no—
1541C2×C8—3161no—
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—791no—
1556C4⋊C4—791no—
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—1581no—
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⋊C4—1581no—
1580C4⋊C4D4×D7911yescharacteristic
1581C4⋊C4D4×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—1581no—
1635C42—1581no—
1636C42—1581no—
1637C42—1581no—
1638C42C23×D7911yescharacteristic
1639C42C23×D7911yescharacteristic
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—81no—
1646C23—81no—
1647C23—81no—
1648C23—3162no—
1649C23—3162no—
1650C23—3162no—
1651C23—3162no—
1652C23—3162no—
1653C23—791no—
1654C23—791no—
1655C23—6321no—
1656C23—6321no—
1657C23—6321no—
1658C23—6321no—
1659C23—6321no—
1660C23—6321no—
1661C23—6321no—
1662C23—6321no—
1663C23—6321no—
1664C23—6321no—
1665C23—1581no—
1666C23—1581no—
1667C23—1581no—
1668C23C2×D4×D7911yescharacteristic
1669Q8—21no—
1670Q8—21no—
1671Q8—3161no—
1672Q8—6321no—
1673Q8—1581no—
1674Q8—1581no—
1675D4—21no—
1676D4—21no—
1677D4—21no—
1678D4—21no—
1679D4—21no—
1680D4—21no—
1681D4—21no—
1682D4—21no—
1683D4—21no—
1684D4—21no—
1685D4—81no—
1686D4—81no—
1687D4—81no—
1688D4—81no—
1689D4—81no—
1690D4—81no—
1691D4—81no—
1692D4—81no—
1693D4—81no—
1694D4—81no—
1695D4—3162no—
1696D4—3162no—
1697D4—3162no—
1698D4—3161no—
1699D4—3162no—
1700D4—3162no—
1701D4—3162no—
1702D4—3162no—
1703D4—792no—
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—6321no—
1717D4—6321no—
1718D4—6321no—
1719D4—1582no—
1720D4—1582no—
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—81no—
1732C2×C4—81no—
1733C2×C4—81no—
1734C2×C4—3162no—
1735C2×C4—3161no—
1736C2×C4—3162no—
1737C2×C4—3162no—
1738C2×C4—791no—
1739C2×C4—791no—
1740C2×C4—791no—
1741C2×C4—791no—
1742C2×C4—791no—
1743C2×C4—791no—
1744C2×C4—6321no—
1745C2×C4—6321no—
1746C2×C4—6321no—
1747C2×C4—6321no—
1748C2×C4—6321no—
1749C2×C4—6321no—
1750C2×C4—6321no—
1751C2×C4—6321no—
1752C2×C4—6321no—
1753C2×C4—6321no—
1754C2×C4—6321no—
1755C2×C4—6321no—
1756C2×C4—1582no—
1757C2×C4—1581no—
1758C2×C4—1581no—
1759C2×C4—1581no—
1760C2×C4—1581no—
1761C2×C4—1581no—
1762C2×C4—1581no—
1763C2×C4—1581no—
1764C2×C4—1581no—
1765C2×C4—1581no—
1766C2×C4C2×D4×D7911yescharacteristic
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—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—162no—
1799C22—3161no—
1800C22—3161no—
1801C22—3161no—
1802C22—3161no—
1803C22—3161no—
1804C22—3161no—
1805C22—3161no—
1806C22—3161no—
1807C22—792no—
1808C22—6324no—
1809C22—1582no—
1810C22—1581no—
1811C22—1581no—
1812C22—1581no—
1813C22—1581no—
1814C22—1581no—
1815C22—12642no—
1816C22—12642no—
1817C22—12642no—
1818C22—12642no—
1819C22C22×D4×D7911yescharacteristic
1820C4—21no—
1821C4—21no—
1822C4—21no—
1823C4—21no—
1824C4—21no—
1825C4—41no—
1826C4—41no—
1827C4—41no—
1828C4—3161no—
1829C4—3161no—
1830C4—3161no—
1831C4—3161no—
1832C4—3161no—
1833C4—1581no—
1834C4—1581no—
1835C4—1581no—
1836C4—1581no—
1837C4—1581no—
1838C4—1581no—
1839C4H(5,𝔽2)×D7911yescharacteristic
1840C4#1909939811yescharacteristic
1841C2—41no—
1842C2—81no—
1843C2—81no—
1844C2—81no—
1845C2—81no—
1846C2—81no—
1847C2—3162no—
1848C2—3161no—
1849C2—6321no—
1850C2—6321no—
1851C2—1582no—
1852C2#2377706711yescharacteristic
1853C2#576×D7911yescharacteristic
1854C2#2377817511yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3220C2
socleC22×C79C23×D4
hypercenter#3220D79
hypocenterC79#62007
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ #117 ◁ #3220

Complements

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

NH ≅ G/Ntype
1. #23777726C2semidirect
2. #23777338C2semidirect
3. #23776485C2semidirect
4. #23776447C2semidirect
5. #23776159C2semidirect
6. #23776104C2semidirect
7. #23775545C2semidirect
8. #23775420C2semidirect
9. #23775399C2semidirect
10. #23775354C2semidirect
11. #23775234C2semidirect
12. #23775206C2semidirect
13. #23775083C2semidirect
14. #23775075C2semidirect
15. #23774933C2semidirect
16. #23774879C2semidirect
17. #23774878C2semidirect
18. #23774878C2semidirect
19. #23774835C2semidirect
20. #23774807C2semidirect
21. #23774749C2semidirect
22. #23774493C2semidirect
23. #23774417C2semidirect
24. #23773641C2semidirect
25. #23773601C2semidirect
26. #23773537C2semidirect
27. #23772935C2semidirect
28. #23772901C2semidirect
29. #459×D79C2semidirect
30. #23772534C2semidirect
31. C79×#3220C2semidirect
32. C2×#14579188C22semidirect
33. C2×#14579187C22semidirect
34. C2×#14579181C22semidirect
35. C2×D8×D79C22semidirect
36. C2×D8×D79C22semidirect
37. C2×D8×D79C22semidirect
40. #19099299C22semidirect
41. #19099295C22semidirect
42. #19099269C22semidirect
43. #19099265C22semidirect
45. #19099251C22semidirect
48. #19099233C22semidirect
49. #19099232C22semidirect
50. #19099213C22semidirect
51. #19099210C22semidirect
52. #19099210C22semidirect
56. #19099201C22semidirect
58. #19099198C22semidirect
59. D4×C22⋊D79C22semidirect
60. D4×C22⋊D79C22semidirect
62. #19099178C22semidirect
63. #19099168C22semidirect
64. #19099167C22semidirect
68. #19099131C22semidirect
72. #127×D79C22semidirect
73. #19099095C22semidirect
74. #19099092C22semidirect
78. #19099043C22semidirect
79. #19099035C22semidirect
80. C4×D4×D79C22semidirect
81. #19098951C22semidirect
82. #19098951C22semidirect
83. #19098951C22semidirect
84. #19098944C22semidirect
85. #19098926C22semidirect
86. #19098926C22semidirect
87. #19098924C22semidirect
88. #19098908C22semidirect
89. #19098892C22semidirect
90. #19098886C22semidirect
91. #19098885C22semidirect
92. #19098882C22semidirect
93. #19098877C22semidirect
94. #19098875C22semidirect
95. #19098872C22semidirect
96. #19098871C22semidirect
97. #19098865C22semidirect
98. #19098864C22semidirect
99. #19098863C22semidirect
100. #19098863C22semidirect
101. #19098860C22semidirect
102. #19098860C22semidirect
103. #19098851C22semidirect
104. #19098841C22semidirect
105. #19098814C22semidirect
106. #19098814C22semidirect
107. #19098813C22semidirect
108. #19098808C22semidirect
109. #19098803C22semidirect
110. #19098797C22semidirect
111. #19098797C22semidirect
113. #19098796C22semidirect
114. #19098791C22semidirect
115. #19098791C22semidirect
116. #19098789C22semidirect
117. #19098783C22semidirect
118. #19098782C22semidirect
119. #19098782C22semidirect
120. #19098781C22semidirect
121. #19098780C22semidirect
122. #19098776C22semidirect
123. #19098776C22semidirect
124. #19098776C22semidirect
125. #19098775C22semidirect
126. #19098775C22semidirect
127. #19098764C22semidirect
128. #19098760C22semidirect
129. #19098760C22semidirect
130. #19098759C22semidirect
131. #19098758C22semidirect
132. #19098758C22semidirect
134. #19098757C22semidirect
135. #19098757C22semidirect
136. #19098756C22semidirect
137. #19098756C22semidirect
138. #19098756C22semidirect
139. #19098755C22semidirect
140. #19098755C22semidirect
141. #19098755C22semidirect
142. #19098755C22semidirect
143. #19098728C22semidirect
144. #19098715C22semidirect
145. #19098715C22semidirect
146. #19098715C22semidirect
147. #19098712C22semidirect
148. #19098710C22semidirect
149. #19098710C22semidirect
150. #19098707C22semidirect
152. #19098695C22semidirect
153. #19098695C22semidirect
154. #19098695C22semidirect
155. #19098695C22semidirect
156. #19098695C22semidirect
157. #19098693C22semidirect
158. #19098691C22semidirect
159. #19098676C22semidirect
160. #19098675C22semidirect
161. #19098675C22semidirect
162. #19098672C22semidirect
163. #19098672C22semidirect
164. #19098666C22semidirect
165. #19098665C22semidirect
166. #19098664C22semidirect
167. C4×#11929613C22semidirect
168. C4×D632C22semidirect
169. D8×Dic79C22semidirect
170. #19098643C22semidirect
171. #19098637C22semidirect
172. #19098637C22semidirect
173. #19098636C22semidirect
174. #19098631C22semidirect
175. C8×D316C22semidirect
176. (C22⋊D79)⋊C8C22semidirect
177. #19098623C22semidirect
178. #19098619C22semidirect
179. #19098590C22semidirect
180. #19098588C22semidirect
181. C4⋊C8×D79C22semidirect
182. #19098566C22semidirect
183. #19098564C22semidirect
184. #19098558C22semidirect
185. C2×#14579082C22semidirect
186. #102×D79C22semidirect
187. #102×D79C22semidirect
188. #540×C79C22semidirect
189. #535×C79C22semidirect
190. #496×C79C22semidirect
191. #493×C79C22semidirect
192. #490×C79C22semidirect
193. #488×C79C22semidirect
194. #463×C79C22semidirect
195. #463×C79C22semidirect
196. #459×C79C22semidirect
197. #459×C79C22semidirect
198. #449×C79C22semidirect
199. #449×C79C22semidirect
200. #447×C79C22semidirect
201. #447×C79C22semidirect
202. #433×C79C22semidirect
950. #3220D79semidirect
959. C79#62007semidirect
994. #540C2×D79semidirect
999. #535C2×D79semidirect
1014. #496C2×D79semidirect
1016. #493C2×D79semidirect
1019. #490C2×D79semidirect
1021. #488C2×D79semidirect
1061. #463C2×D79semidirect
1062. #463C2×D79semidirect
1079. #459C2×D79semidirect
1080. #459C2×D79semidirect
1089. #449C2×D79semidirect
1090. #449C2×D79semidirect
1097. #447C2×D79semidirect
1098. #447C2×D79semidirect
1120. #433C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237777262
#237773382
#237764852
#237764472
#237761592
#237761042
#237755452
#237754202
#237753992
#237753542
#237752342
#237752062
#237750832
#237750752
#237749332
#237748792
#237748782
#237748352
#237748072
#237747492
#237744932
#237744172
#237736412
#237736012
#237735372
#237729352
#237729012
#459×D792
#237725342
C79×#32202
#6200779