Finite Group Databasebeta

← #35156938

Subgroups — #35156938

Order 20224.

2080 conjugacy classes of subgroups.

The subgroup lattice has 1752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23776831C211yesmaximal, characteristic, complemented
2C4×#14579206C211yesmaximal, characteristic, complemented
3#23773667C211yesmaximal, characteristic, complemented
4#23773665C211yesmaximal, characteristic, complemented
5#23773650C211yesmaximal, characteristic, complemented
6#23773646C211yesmaximal, characteristic, complemented
7#23773611C211yesmaximal, characteristic, complemented
8#23773609C211yesmaximal, characteristic, complemented
9#23773591C211yesmaximal, characteristic, complemented
10#23773585C211yesmaximal, characteristic, complemented
11#23773558C211yesmaximal, characteristic, complemented
12#23773556C211yesmaximal, characteristic, complemented
13#23773542C211yesmaximal, characteristic, complemented
14#23773538C211yesmaximal, characteristic, complemented
15#23773513C211yesmaximal, characteristic, complemented
16#23773511C211yesmaximal, characteristic, complemented
17#23773497C211yesmaximal, characteristic, complemented
18#23773379C211yesmaximal, characteristic, complemented
19#23773368C211yesmaximal, characteristic, complemented
20#23773246C211yesmaximal, characteristic, complemented
21#23773224C211yesmaximal, characteristic, complemented
22#23772945C211yesmaximal, characteristic, complemented
23#23772907C211yesmaximal, characteristic, complemented
24#23772705C211yesmaximal, characteristic
25#23772672C211yesmaximal, characteristic, complemented
26#23772222C211yesmaximal, characteristic, complemented
27#23772205C211yesmaximal, characteristic, complemented
28#23772195C211yesmaximal, characteristic, complemented
29#440×D79C211yesmaximal, characteristic, complemented
30#23772046C211yesmaximal, characteristic, complemented
31C79×#3110C211yesmaximal, characteristic, complemented
32C2×#14579206C2211yescharacteristic
33C2×#14579190C2211yescharacteristic
34C2×#14579188C2211yescharacteristic
35C2×#14579182C2211yescharacteristic
36C2×SD16×D79C2211yescharacteristic
37#19099190C2211yescharacteristic, complemented
38#19099187C2211yescharacteristic, complemented
39#19099186C2211yescharacteristic, complemented
40#19099183—21no—
41#19099174C2211yescharacteristic, complemented
42#19099173C2211yescharacteristic, complemented
43#19099172—21no—
44#19099161—21no—
45#19099159—21no—
46#19099143C2211yescharacteristic
47#19099138C2211yescharacteristic, complemented
48#19099136C2211yescharacteristic
49#19099117—21no—
50#19099117C2211yescharacteristic, complemented
51#19099100—21no—
52#19099100C2211yescharacteristic, complemented
53#19099097C2211yescharacteristic, complemented
54#19099091—21no—
55#19099091—21no—
56#19099044C2211yescharacteristic
57#19099044C2211yescharacteristic
58#19099042—21no—
59#19099042C2211yescharacteristic
60#19099042C2211yescharacteristic
61#19099038C2211yescharacteristic
62#19099036—21no—
63#19099036—21no—
64#19099035—21no—
65#19099035C2211yescharacteristic
66#19099035C2211yescharacteristic
67C4×#11929625C2211yescharacteristic, complemented
68C4×#11929624C2211yescharacteristic
69C4×#11929624C2211yescharacteristic
70C4×#11929623—21no—
71C4×#11929623C2211yescharacteristic
72C4×#11929623C2211yescharacteristic
73C4×Q8×D79C2211yescharacteristic, complemented
74C2×C4×C22⋊D79—21no—
75C2×C4×C22⋊D79—21no—
76C4×D4×D79—21no—
77C4×D4×D79C2211yescharacteristic
78C4×D4×D79C2211yescharacteristic
79#19098906C2211yescharacteristic, complemented
80#19098905C2211yescharacteristic, complemented
81#19098903C2211yescharacteristic, complemented
82#19098902C2211yescharacteristic, complemented
83#19098901C2211yescharacteristic, complemented
84#19098901C2211yescharacteristic, complemented
85#19098900C2211yescharacteristic, complemented
86#19098897C2211yescharacteristic, complemented
87#19098893C2211yescharacteristic, complemented
88#19098892C2211yescharacteristic, complemented
89#19098890C2211yescharacteristic, complemented
90#19098888C2211yescharacteristic, complemented
91#19098878C2211yescharacteristic, complemented
92#19098876C2211yescharacteristic, complemented
93#19098871C2211yescharacteristic, complemented
94#19098869C2211yescharacteristic, complemented
95#19098866C2211yescharacteristic, complemented
96#19098865C2211yescharacteristic, complemented
97#19098864C2211yescharacteristic, complemented
98#19098863C2211yescharacteristic, complemented
99#19098863C2211yescharacteristic, complemented
100#19098861C2211yescharacteristic, complemented
101#19098857C2211yescharacteristic, complemented
102#19098855C2211yescharacteristic, complemented
103#19098851C2211yescharacteristic, complemented
104#19098850C2211yescharacteristic, complemented
105#19098842C2211yescharacteristic, complemented
106#19098841C2211yescharacteristic, complemented
107#19098788C2211yescharacteristic, complemented
108#19098786C2211yescharacteristic, complemented
109#19098781C2211yescharacteristic, complemented
110#19098780C2211yescharacteristic, complemented
111#19098780C2211yescharacteristic, complemented
112#19098779C2211yescharacteristic, complemented
113#19098778C2211yescharacteristic, complemented
114#19098778C2211yescharacteristic, complemented
115#19098772C2211yescharacteristic, complemented
116#19098770C2211yescharacteristic, complemented
117#19098767C2211yescharacteristic, complemented
118#19098766C2211yescharacteristic, complemented
119#19098766C2211yescharacteristic, complemented
120#19098765C2211yescharacteristic, complemented
121#19098727C2211yescharacteristic
122#19098726C2211yescharacteristic
123#19098723C2211yescharacteristic
124#19098723C2211yescharacteristic
125#19098722C2211yescharacteristic
126#19098722C2211yescharacteristic
127#19098715C2211yescharacteristic
128#19098714C2211yescharacteristic
129#19098712C2211yescharacteristic
130#19098712C2211yescharacteristic
131#19098710C2211yescharacteristic
132#19098709C2211yescharacteristic
133#19098698C2211yescharacteristic
134#19098697C2211yescharacteristic
135#19098676C2211yescharacteristic, complemented
136#19098673C2211yescharacteristic, complemented
137#19098673C2211yescharacteristic, complemented
138#19098672C2211yescharacteristic, complemented
139#19098671C2211yescharacteristic, complemented
140#19098668C2211yescharacteristic, complemented
141#19098668C2211yescharacteristic, complemented
142#19098667C2211yescharacteristic, complemented
143#19098666C2211yescharacteristic, complemented
144#19098665C2211yescharacteristic, complemented
145#19098665C2211yescharacteristic, complemented
146#19098664C2211yescharacteristic, complemented
147#19098664C2211yescharacteristic, complemented
148#19098663C2211yescharacteristic, complemented
149#19098663C2211yescharacteristic, complemented
150#19098662C2211yescharacteristic, complemented
151#19098662C2211yescharacteristic, complemented
152#19098661C2211yescharacteristic, complemented
153#19098661C2211yescharacteristic, complemented
154#19098660C2211yescharacteristic, complemented
155#19098657C2211yescharacteristic, complemented
156#19098655C2211yescharacteristic, complemented
157#19098654C2211yescharacteristic, complemented
158SD16×Dic79C2211yescharacteristic, complemented
159SD16×Dic79C2211yescharacteristic, complemented
160#19098648C2211yescharacteristic, complemented
161#19098645C2211yescharacteristic, complemented
162#19098643C2211yescharacteristic, complemented
163#19098623C2211yescharacteristic, complemented
164#19098623C2211yescharacteristic, complemented
165#19098621C2211yescharacteristic, complemented
166#19098621C2211yescharacteristic, complemented
167#19098620C2211yescharacteristic, complemented
168#19098618C2211yescharacteristic, complemented
169#19098618C2211yescharacteristic, complemented
170#19098604C2211yescharacteristic, complemented
171#19098604C2211yescharacteristic, complemented
172#19098600C2211yescharacteristic, complemented
173#107×D79C2211yescharacteristic, complemented
174#19098588C2211yescharacteristic, complemented
175#19098588C2211yescharacteristic, complemented
176#19098570C2211yescharacteristic, complemented
177#19098566C2211yescharacteristic
178#19098563C2211yescharacteristic, complemented
179#19098561C2211yescharacteristic
180#19098558C2211yescharacteristic, complemented
181#19098556C2211yescharacteristic
182#103×D79C2211yescharacteristic, complemented
183#102×D79C2211yescharacteristic
184#19098528C2211yescharacteristic
185#19098528C2211yescharacteristic
186#19098515C2211yescharacteristic, complemented
187#97×D79C2211yescharacteristic, complemented
188#533×C79C2211yescharacteristic, complemented
189C2×C4×D4×C79C2211yescharacteristic
190#484×C79C2211yescharacteristic, complemented
191#484×C79C2211yescharacteristic, complemented
192#474×C79C2211yescharacteristic, complemented
193#474×C79C2211yescharacteristic, complemented
194#461×C79C2211yescharacteristic, complemented
195#461×C79C2211yescharacteristic, complemented
196#450×C79C2211yescharacteristic
197#450×C79C2211yescharacteristic
198#440×C79C2211yescharacteristic, complemented
199#440×C79C2211yescharacteristic, complemented
200#440×C79C2211yescharacteristic, complemented
201#440×C79C2211yescharacteristic, complemented
202#432×C79C2211yescharacteristic, complemented
203#14579206—24no—
204#14579206—24no—
205C2×#11929625C2311yescharacteristic
206C2×#11929624C2311yescharacteristic
207C2×#11929624C2311yescharacteristic
208C2×#11929623—21no—
209C2×#11929623C2311yescharacteristic
210C2×#11929623C2311yescharacteristic
211C2×Q8×D79C2311yescharacteristic
212C22×C22⋊D79—21no—
213C22×C22⋊D79—21no—
214C2×D4×D79—21no—
215C2×D4×D79C2311yescharacteristic
216C2×D4×D79C2311yescharacteristic
217C22×C4×D79—21no—
218C22×C4×D79—21no—
219#14579190—24no—
220#14579188—24no—
221#14579182—24no—
222C2×Dic316C2311yescharacteristic
223C2×#11929614C2311yescharacteristic
224C2×#11929614C2311yescharacteristic
225C2×#11929613C2311yescharacteristic
226C2×#11929613C2311yescharacteristic
227C2×#11929612C2311yescharacteristic
228C2×#11929612C2311yescharacteristic
229C2×#11929611C2311yescharacteristic
230C2×#11929611C2311yescharacteristic
231SD16×D79—24no—
232C2×D632C2311yescharacteristic
233C2×#11929609C2311yescharacteristic
234C2×#11929609C2311yescharacteristic
235C2×#11929607C2311yescharacteristic
236C2×#11929607C2311yescharacteristic
237C2×C8×D79C2311yescharacteristic
238C2×C8×D79C2311yescharacteristic
239#14579160—21no—
240#14579160C2311yescharacteristic
241#14579159—21no—
242#14579159C2311yescharacteristic
243#14579156—21no—
244#14579156—21no—
245#14579156—21no—
246#14579156—21no—
247#14579156—21no—
248#14579155—21no—
249#14579154—21no—
250#14579154—21no—
251#14579153C2311yescharacteristic
252#14579152—21no—
253#14579152C2311yescharacteristic
254#14579151—21no—
255#14579151—21no—
256#14579151—21no—
257#14579151—21no—
258#14579151—21no—
259#14579150—21no—
260#14579150C2311yescharacteristic
261#14579149C2311yescharacteristic
262#14579147—21no—
263#14579147—21no—
264#14579146—21no—
265#14579146—21no—
266#14579146—21no—
267#14579146—21no—
268#14579146—21no—
269#14579144—21no—
270#14579143—21no—
271#14579143—21no—
272#14579141—21no—
273#14579141C2311yescharacteristic
274#14579140C2311yescharacteristic
275#14579139—21no—
276#14579139—21no—
277#14579139—21no—
278#14579139—21no—
279#14579139—21no—
280#14579137—21no—
281#14579137—21no—
282#14579137C2311yescharacteristic
283#14579137C2311yescharacteristic
284#14579136—21no—
285#14579136C2311yescharacteristic
286#14579135C2311yescharacteristic
287#14579134—21no—
288#14579134—21no—
289Q8×Dic79C2311yescharacteristic
290Q8×Dic79C2311yescharacteristic
291C4×Dic158—21no—
292C4×Dic158—21no—
293C4×Dic158D411yescharacteristic
294C4×Dic158D411yescharacteristic
295C4×Dic158C2311yescharacteristic
296C4×Dic158C2311yescharacteristic
297C4×Dic158C2311yescharacteristic
298#14579126—21no—
299#14579126—21no—
300#14579126C2311yescharacteristic
301#14579126C2311yescharacteristic
302#14579126C2311yescharacteristic
303C4×D316—21no—
304C4×D316—21no—
305C4×D316D411yescharacteristic
306C4×D316D411yescharacteristic
307C4×D316C2311yescharacteristic
308C4×D316C2311yescharacteristic
309C4×D316C2311yescharacteristic
310D4×Dic79—21no—
311D4×Dic79—21no—
312D4×Dic79C2311yescharacteristic
313D4×Dic79C2311yescharacteristic
314D4×Dic79C2311yescharacteristic
315D4×Dic79C2311yescharacteristic
316#14579123—21no—
317#14579123—21no—
318#14579123C2311yescharacteristic
319#14579123C2311yescharacteristic
320#14579123C2311yescharacteristic
321C4×C22⋊D79—21no—
322C4×C22⋊D79—21no—
323C4×C22⋊D79—21no—
324C4×C22⋊D79—21no—
325C4×C22⋊D79—21no—
326C4×C22⋊D79—21no—
327C4×C22⋊D79—21no—
328C4×C22⋊D79—21no—
329C4×C22⋊D79—21no—
330C4×C22⋊D79—21no—
331C4×C22⋊D79—21no—
332C4×C22⋊D79—21no—
333C4×C22⋊D79—21no—
334C4×C22⋊D79—21no—
335C4×C22⋊D79—21no—
336C4×C22⋊D79D411yescharacteristic
337C4×C22⋊D79D411yescharacteristic
338C4×C22⋊D79D411yescharacteristic
339C4×C22⋊D79D411yescharacteristic
340(C22⋊D79)⋊C4—21no—
341(C22⋊D79)⋊C4—21no—
342(C22⋊D79)⋊C4—21no—
343(C22⋊D79)⋊C4—21no—
344(C22⋊D79)⋊C4—21no—
345(C22⋊D79)⋊C4—21no—
346(C22⋊D79)⋊C4—21no—
347(C22⋊D79)⋊C4—21no—
348#14579120C2311yescharacteristic
349#14579120C2311yescharacteristic
350#14579119—21no—
351#14579119—21no—
352#14579119C2311yescharacteristic
353#14579119C2311yescharacteristic
354#14579119C2311yescharacteristic
355#14579118—21no—
356#14579118—21no—
357#14579118—21no—
358#14579118—21no—
359#14579118C2311yescharacteristic
360#14579118C2311yescharacteristic
361#14579117—21no—
362#14579117—21no—
363#14579117—21no—
364#14579117—21no—
365C2×Dic79⋊C4—21no—
366C2×Dic79⋊C4—21no—
367C4⋊C4×D79—21no—
368C4⋊C4×D79—21no—
369C4⋊C4×D79C2311yescharacteristic
370C4⋊C4×D79C2311yescharacteristic
371C4⋊C4×D79C2311yescharacteristic
372C2×C22⋊Dic79—21no—
373C2×C22⋊Dic79—21no—
374C2×(C2×D79)⋊C4—21no—
375C2×(C2×D79)⋊C4—21no—
376C22⋊C4×D79—21no—
377C22⋊C4×D79—21no—
378C22⋊C4×D79—21no—
379C22⋊C4×D79—21no—
380C2×C4×Dic79—21no—
381C2×C4×Dic79—21no—
382C42×D79—21no—
383C42×D79—21no—
384C42×D79—21no—
385C42×D79C2311yescharacteristic
386C42×D79C2311yescharacteristic
387#14579095C2311yescharacteristic
388#14579095C2311yescharacteristic
389#14579094C2311yescharacteristic
390#14579094C2311yescharacteristic
391#14579094C2311yescharacteristic
392#14579094C2311yescharacteristic
393#14579093C2311yescharacteristic
394#14579093C2311yescharacteristic
395#14579092C2311yescharacteristic
396#14579092C2311yescharacteristic
397#14579092C2311yescharacteristic
398#14579092C2311yescharacteristic
399C4⋊(C79⋊C8)C2311yescharacteristic
400C4⋊(C79⋊C8)C2311yescharacteristic
401Dic79⋊C8C2311yescharacteristic
402Dic79⋊C8C2311yescharacteristic
403Dic79⋊C8C2311yescharacteristic
404Dic79⋊C8C2311yescharacteristic
405#14579086C2311yescharacteristic
406#14579086C2311yescharacteristic
407#14579086C2311yescharacteristic
408#14579086C2311yescharacteristic
409#14579085C2311yescharacteristic
410#14579085C2311yescharacteristic
411#14579085C2311yescharacteristic
412#14579085C2311yescharacteristic
413#14579084C2311yescharacteristic
414#14579084C2311yescharacteristic
415#14579084C2311yescharacteristic
416#14579084C2311yescharacteristic
417#14579083C2311yescharacteristic
418#14579083C2311yescharacteristic
419#14579083C2311yescharacteristic
420#14579083C2311yescharacteristic
421#14579082C2311yescharacteristic
422#14579082C2311yescharacteristic
423#14579082C2311yescharacteristic
424#14579082C2311yescharacteristic
425#14579081C2311yescharacteristic
426#14579081C2311yescharacteristic
427#14579081C2311yescharacteristic
428#14579081C2311yescharacteristic
429C22⋊(C79⋊C8)C2311yescharacteristic
430C22⋊(C79⋊C8)C2311yescharacteristic
431(C2×D79)⋊C8C2311yescharacteristic
432(C2×D79)⋊C8C2311yescharacteristic
433(C2×D79)⋊C8C2311yescharacteristic
434(C2×D79)⋊C8C2311yescharacteristic
435#14579072C2311yescharacteristic
436#14579072C2311yescharacteristic
437#14579071C2311yescharacteristic
438#14579071C2311yescharacteristic
439C8×Dic79C2311yescharacteristic
440C8×Dic79C2311yescharacteristic
441C22×D4×C79C2311yescharacteristic
442C23×C4×C79—21no—
443C2×SD16×C79C2311yescharacteristic
444C2×SD16×C79C2311yescharacteristic
445C2×SD16×C79C2311yescharacteristic
446C2×SD16×C79C2311yescharacteristic
447C4⋊Q8×C79C2311yescharacteristic
448C4⋊Q8×C79C2311yescharacteristic
449#125×C79—21no—
450C22⋊Q8×C79—21no—
451C22⋊Q8×C79C2311yescharacteristic
452C22⋊Q8×C79C2311yescharacteristic
453C4×Q8×C79—21no—
454C4×Q8×C79C2311yescharacteristic
455C4×Q8×C79C2311yescharacteristic
456C4×D4×C79—21no—
457C4×D4×C79—21no—
458C4×D4×C79C2311yescharacteristic
459C4×D4×C79C2311yescharacteristic
460C4×D4×C79C2311yescharacteristic
461C4×D4×C79C2311yescharacteristic
462#117×C79—21no—
463C2×C4⋊C4×C79C2311yescharacteristic
464C2×C22⋊C4×C79—21no—
465C2×C42×C79C2311yescharacteristic
466#107×C79C2311yescharacteristic
467#107×C79C2311yescharacteristic
468#107×C79C2311yescharacteristic
469#107×C79C2311yescharacteristic
470C4⋊C8×C79C2311yescharacteristic
471C4⋊C8×C79C2311yescharacteristic
472#103×C79C2311yescharacteristic
473#103×C79C2311yescharacteristic
474#103×C79C2311yescharacteristic
475#103×C79C2311yescharacteristic
476#102×C79C2311yescharacteristic
477#102×C79C2311yescharacteristic
478#102×C79C2311yescharacteristic
479#102×C79C2311yescharacteristic
480C22⋊C8×C79C2311yescharacteristic
481C22⋊C8×C79C2311yescharacteristic
482#97×C79C2311yescharacteristic
483#97×C79C2311yescharacteristic
484C23×D79—21no—
485C23×D79—21no—
486#11929625—22no—
487#11929625—22no—
488#11929624—22no—
489#11929624—22no—
490#11929624—22no—
491#11929624—22no—
492#11929623—28no—
493#11929623—22no—
494#11929623—22no—
495#11929623—22no—
496#11929623#4114yes—
497C2×Dic158—21no—
498C2×Dic158—21no—
499C2×Dic158C2×D411yescharacteristic
500C2×Dic158C2411yescharacteristic
501C2×Dic158C2411yescharacteristic
502Q8×D79—22no—
503Q8×D79—22no—
504C2×D316—21no—
505C2×D316—21no—
506C2×D316C2×D411yescharacteristic
507C2×D316C2411yescharacteristic
508C2×D316C2411yescharacteristic
509C2×C22⋊D79—28no—
510C2×C22⋊D79—28no—
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⋊D79C2×D411yescharacteristic
518C2×C22⋊D79C2×D411yescharacteristic
519D4×D79—28no—
520D4×D79—22no—
521D4×D79—22no—
522D4×D79—22no—
523D4×D79#4114yes—
524C22×Dic79—21no—
525C22×Dic79—21no—
526C22×Dic79—21no—
527C22×Dic79—21no—
528C22×Dic79—21no—
529C22×Dic79—21no—
530C2×C4×D79—21no—
531C2×C4×D79—21no—
532C2×C4×D79—21no—
533C2×C4×D79—21no—
534C2×C4×D79—21no—
535C2×C4×D79—21no—
536C2×C4×D79—21no—
537C2×C4×D79—21no—
538C2×C4×D79—21no—
539C2×C4×D79—21no—
540C2×C4×D79—21no—
541C2×C4×D79—21no—
542C2×C4×D79—82no—
543C2×C4×D79—82no—
544C2×C4×D79C2×D411yescharacteristic
545C2×C4×D79C2×D411yescharacteristic
546C2×C4×D79C2×D411yescharacteristic
547C2×C4×D79C2×D411yescharacteristic
548C2×C4×D79C2411yescharacteristic
549C2×C4×D79C2411yescharacteristic
550Dic316—22no—
551#11929614—22no—
552#11929614—22no—
553#11929613—22no—
554#11929613—22no—
555#11929612—22no—
556#11929612—22no—
557#11929611—22no—
558#11929611—22no—
559D632—22no—
560#11929609—22no—
561#11929609—22no—
562#11929607—22no—
563#11929607—22no—
564C2×C79⋊C8C2411yescharacteristic
565C2×C79⋊C8C2411yescharacteristic
566C2×C79⋊C8C2411yescharacteristic
567C2×C79⋊C8C2411yescharacteristic
568C8×D79—22no—
569C8×D79—22no—
570C4⋊Dic79—21no—
571C4⋊Dic79—21no—
572C4⋊Dic79—21no—
573C4⋊Dic79—21no—
574C4⋊Dic79C2×D411yescharacteristic
575C4⋊Dic79C2×D411yescharacteristic
576C4⋊Dic79C2411yescharacteristic
577C4⋊Dic79C2411yescharacteristic
578C4⋊Dic79C2411yescharacteristic
579C4⋊Dic79C2411yescharacteristic
580Dic79⋊C4—21no—
581Dic79⋊C4—21no—
582Dic79⋊C4—21no—
583Dic79⋊C4—21no—
584Dic79⋊C4—21no—
585Dic79⋊C4—21no—
586Dic79⋊C4—21no—
587Dic79⋊C4—21no—
588Dic79⋊C4—21no—
589Dic79⋊C4—21no—
590Dic79⋊C4—21no—
591Dic79⋊C4—21no—
592Dic79⋊C4—21no—
593Dic79⋊C4—21no—
594Dic79⋊C4—21no—
595Dic79⋊C4—21no—
596Dic79⋊C4—21no—
597Dic79⋊C4—21no—
598Dic79⋊C4C2×D411yescharacteristic
599Dic79⋊C4C2×D411yescharacteristic
600Dic79⋊C4C2×D411yescharacteristic
601Dic79⋊C4C2×D411yescharacteristic
602C22⋊Dic79—21no—
603C22⋊Dic79—21no—
604C22⋊Dic79—21no—
605C22⋊Dic79—21no—
606C22⋊Dic79—21no—
607C22⋊Dic79—21no—
608C22⋊Dic79C2×D411yescharacteristic
609C22⋊Dic79C2×D411yescharacteristic
610(C2×D79)⋊C4—21no—
611(C2×D79)⋊C4—21no—
612(C2×D79)⋊C4—21no—
613(C2×D79)⋊C4—21no—
614(C2×D79)⋊C4—21no—
615(C2×D79)⋊C4—21no—
616(C2×D79)⋊C4—21no—
617(C2×D79)⋊C4—21no—
618(C2×D79)⋊C4—21no—
619(C2×D79)⋊C4—21no—
620(C2×D79)⋊C4—21no—
621(C2×D79)⋊C4—21no—
622(C2×D79)⋊C4—21no—
623(C2×D79)⋊C4—21no—
624(C2×D79)⋊C4—21no—
625(C2×D79)⋊C4—21no—
626(C2×D79)⋊C4—21no—
627(C2×D79)⋊C4—21no—
628(C2×D79)⋊C4C2×D411yescharacteristic
629(C2×D79)⋊C4C2×D411yescharacteristic
630(C2×D79)⋊C4C2×D411yescharacteristic
631(C2×D79)⋊C4C2×D411yescharacteristic
632C4×Dic79—21no—
633C4×Dic79—21no—
634C4×Dic79—21no—
635C4×Dic79—21no—
636C4×Dic79—21no—
637C4×Dic79—21no—
638C4×Dic79—21no—
639C4×Dic79—21no—
640C4×Dic79—21no—
641C4×Dic79—21no—
642C4×Dic79—21no—
643C4×Dic79—21no—
644C4×Dic79C2×D411yescharacteristic
645C4×Dic79C2×D411yescharacteristic
646C4×Dic79C2×D411yescharacteristic
647C4×Dic79C2×D411yescharacteristic
648C4×Dic79C2411yescharacteristic
649C4×Dic79C2411yescharacteristic
650C24×C79—21no—
651C2×Q8×C79—21no—
652C2×Q8×C79C2411yescharacteristic
653C2×Q8×C79C2411yescharacteristic
654C2×D4×C79—22no—
655C2×D4×C79—22no—
656C2×D4×C79—21no—
657C2×D4×C79C2411yescharacteristic
658C2×D4×C79C2411yescharacteristic
659C22×C4×C79—21no—
660C22×C4×C79—21no—
661C22×C4×C79—21no—
662C22×C4×C79—21no—
663C22×C4×C79—21no—
664C22×C4×C79—82no—
665C22×C4×C79C2×D411yescharacteristic
666C22×C4×C79C2×D411yescharacteristic
667C22×C4×C79C2411yescharacteristic
668SD16×C79—22no—
669SD16×C79—22no—
670SD16×C79—22no—
671SD16×C79—22no—
672C2×C8×C79C2411yescharacteristic
673C2×C8×C79C2411yescharacteristic
674C2×C8×C79C2411yescharacteristic
675C2×C8×C79C2411yescharacteristic
676C4⋊C4×C79—21no—
677C4⋊C4×C79—21no—
678C4⋊C4×C79—21no—
679C4⋊C4×C79—21no—
680C4⋊C4×C79—21no—
681C4⋊C4×C79—21no—
682C4⋊C4×C79—21no—
683C4⋊C4×C79—21no—
684C4⋊C4×C79C2411yescharacteristic
685C4⋊C4×C79C2411yescharacteristic
686C4⋊C4×C79C2411yescharacteristic
687C4⋊C4×C79C2411yescharacteristic
688C22⋊C4×C79—21no—
689C22⋊C4×C79—21no—
690C22⋊C4×C79—21no—
691C22⋊C4×C79—21no—
692C22⋊C4×C79—21no—
693C22⋊C4×C79—21no—
694C42×C79—21no—
695C42×C79—21no—
696C42×C79C2×D411yescharacteristic
697C42×C79C2×D411yescharacteristic
698C42×C79C2411yescharacteristic
699C42×C79C2411yescharacteristic
700C23×C79—24no—
701C23×C79—21no—
702C23×C79—21no—
703C23×C79—81no—
704C23×C79—81no—
705C23×C79C22×D411yescharacteristic
706C22×D79—21no—
707C22×D79—24no—
708C22×D79—24no—
709C22×D79—21no—
710C22×D79—81no—
711C22×D79—81no—
712C22×D79—81no—
713C22×D79—81no—
714C22×D79C22×D411yescharacteristic
715C22×D79C22×D411yescharacteristic
716Q8×C79—21no—
717Q8×C79—21no—
718Q8×C79—21no—
719Q8×C79—21no—
720Q8×C79—81no—
721D4×C79—24no—
722D4×C79—21no—
723D4×C79—21no—
724D4×C79C2×#4112yes—
725D4×C79C2×#4112yes—
726C2×C4×C79—21no—
727C2×C4×C79—21no—
728C2×C4×C79—21no—
729C2×C4×C79—21no—
730C2×C4×C79—21no—
731C2×C4×C79—21no—
732C2×C4×C79—21no—
733C2×C4×C79—21no—
734C2×C4×C79—41no—
735C2×C4×C79—41no—
736C2×C4×C79—42no—
737C2×C4×C79—42no—
738C2×C4×C79—81no—
739C2×C4×C79—81no—
740C2×C4×C79—81no—
741C2×C4×C79C22×D411yescharacteristic
742C2×C4×C79C22×D411yescharacteristic
743C2×C4×C79C22×D411yescharacteristic
744C2×C4×C79C22×D411yescharacteristic
745C2×C4×C79C22×D411yescharacteristic
746C2×C4×C79C2511yescharacteristic
747C22⋊D79—24no—
748C22⋊D79—24no—
749C22⋊D79—24no—
750C22⋊D79—24no—
751C22⋊D79—22no—
752C22⋊D79—24no—
753C22⋊D79—22no—
754C22⋊D79—81no—
755C2×Dic79—24no—
756C2×Dic79—21no—
757C2×Dic79—24no—
758C2×Dic79—21no—
759C2×Dic79—21no—
760C2×Dic79—21no—
761C2×Dic79—21no—
762C2×Dic79—21no—
763C2×Dic79—81no—
764C2×Dic79—81no—
765C2×Dic79—81no—
766C2×Dic79—81no—
767C2×Dic79C22×D411yescharacteristic
768C2×Dic79C22×D411yescharacteristic
769C2×Dic79C22×D411yescharacteristic
770C2×Dic79C22×D411yescharacteristic
771C2×Dic79C22×D411yescharacteristic
772C2×Dic79C22×D411yescharacteristic
773D316—22no—
774D316—21no—
775D316—21no—
776D316—21no—
777D316—42no—
778D316—81no—
779D316C2×#4112yes—
780C4×D79—24no—
781C4×D79—21no—
782C4×D79—21no—
783C4×D79—41no—
784C4×D79—41no—
785C4×D79—41no—
786C4×D79—41no—
787C4×D79—42no—
788C4×D79—42no—
789C4×D79—42no—
790C4×D79—42no—
791C4×D79—81no—
792C4×D79—81no—
793C4×D79—81no—
794C4×D79—81no—
795C4×D79—81no—
796C4×D79—81no—
797C4×D79—81no—
798C4×D79C2×#4112yes—
799C4×D79C2×#4112yes—
800Dic158—21no—
801Dic158—22no—
802Dic158—21no—
803Dic158—21no—
804Dic158—42no—
805Dic158—81no—
806Dic158C2×#4112yes—
807C8×C79—21no—
808C8×C79—21no—
809C8×C79—21no—
810C8×C79—21no—
811C79⋊C8—21no—
812C79⋊C8—21no—
813C79⋊C8—21no—
814C79⋊C8—21no—
815C22×C79—21no—
816C22×C79—21no—
817C22×C79—21no—
818C22×C79—22no—
819C22×C79—22no—
820C22×C79—41no—
821C22×C79—41no—
822C22×C79—41no—
823C22×C79—41no—
824C22×C79—84no—
825C22×C79C23×D411yescharacteristic
826C2×D79—21no—
827C2×D79—21no—
828C2×D79—21no—
829C2×D79—21no—
830C2×D79—22no—
831C2×D79—21no—
832C2×D79—41no—
833C2×D79—41no—
834C2×D79—41no—
835C2×D79—41no—
836C2×D79—41no—
837C2×D79—84no—
838C2×D79—84no—
839C2×D79#52512yes—
840C4×C79—21no—
841C4×C79—21no—
842C4×C79—21no—
843C4×C79—21no—
844C4×C79—21no—
845C4×C79—41no—
846C4×C79—41no—
847C4×C79—41no—
848C4×C79—41no—
849C4×C79—41no—
850C4×C79—41no—
851C4×C79C22×#4111yescharacteristic
852C4×C79C22×#4111yescharacteristic
853Dic79—21no—
854Dic79—21no—
855Dic79—21no—
856Dic79—21no—
857Dic79—21no—
858Dic79—22no—
859Dic79—41no—
860Dic79—41no—
861Dic79—41no—
862Dic79—41no—
863Dic79—41no—
864Dic79#52512yes—
865#60575—791nomaximal, Sylow
866C2×C79—42no—
867C2×C79—42no—
868C2×C79—41no—
869C2×C79C2×#52511yescharacteristic
870C2×C79#358511yescharacteristic
871C2×C79#358611yescharacteristic
872D79—22no—
873D79—41no—
874D79—42no—
875D79—81no—
876#3461—791no—
877C4×H(5,𝔽2)—791no—
878#3124—791no—
879#3124—791no—
880#3123—791no—
881#3123—791no—
882#3120—791no—
883#3120—791no—
884#3118—791no—
885#3118—791no—
886#3116—791no—
887#3116—791no—
888#3114—791no—
889#3114—791no—
890#3111—791no—
891#3111—791no—
892#3110—791no—
893#3110D7911yescharacteristic, complemented
894#3098—791no—
895#3097—791no—
896#3083—791no—
897#3081—791no—
898#3046—791no—
899#3042—791no—
900#3012—791no—
901#3009—791no—
902C4×#137—791no—
903C4×AGL(1,ℤ/8)—791no—
904#2943—791no—
905C2×#440—791no—
906#2923—791no—
907C79#6057511yescharacteristic, complemented, Sylow
908C2×H(5,𝔽2)—791no—
909C2×#137—791no—
910C2×AGL(1,ℤ/8)—791no—
911C2×#135—791no—
912C22×SD16—791no—
913#544—791no—
914#542—791no—
915#542—791no—
916#542—1581no—
917#541—791no—
918#541—791no—
919#541—1581no—
920#539—1581no—
921#539—1581no—
922#537—791no—
923#536—791no—
924#536—791no—
925#533—791no—
926#533—1581no—
927#533C2×D7911yescharacteristic, complemented
928#529—791no—
929#529—791no—
930#529—1581no—
931#529—1581no—
932#529—1581no—
933#520—791no—
934#520—791no—
935#520—791no—
936#520—791no—
937#520—1581no—
938#518—791no—
939#518—791no—
940#518—791no—
941#518—1581no—
942#518—1581no—
943#518—1581no—
944C4×#41—791no—
945C4×#41—791no—
946C4×#41—791no—
947C4×#41—791no—
948C4×#41—791no—
949C4×#41—1581no—
950C2×C4×Q8—791no—
951C2×C4×D4—791no—
952C2×C4×D4—791no—
953C2×C4×D4—1581no—
954C2×C4×D4—1581no—
955C2×C4×D4—1581no—
956C2×C4×D4C2×D7911yescharacteristic
957#485—791no—
958#485—791no—
959#485—791no—
960#485—791no—
961#485—791no—
962#485—791no—
963#484—791no—
964#484—791no—
965#484C2×D7911yescharacteristic, complemented
966#484C2×D7911yescharacteristic, complemented
967#483—791no—
968#483—791no—
969#482—791no—
970#482—791no—
971#480—791no—
972#480—791no—
973#479—791no—
974#479—791no—
975#478—791no—
976#478—791no—
977#478—791no—
978#478—791no—
979#478—791no—
980#478—791no—
981#477—791no—
982#477—791no—
983#476—791no—
984#476—791no—
985#474—791no—
986#474—791no—
987#474C2×D7911yescharacteristic, complemented
988#474C2×D7911yescharacteristic, complemented
989#464—791no—
990#464—791no—
991#463—791no—
992#463—791no—
993#463—791no—
994#463—791no—
995#463—791no—
996#463—791no—
997#462—791no—
998#462—791no—
999#461—791no—
1000#461—791no—
1001#461—791no—
1002#461—791no—
1003#461C2×D7911yescharacteristic, complemented
1004#461C2×D7911yescharacteristic, complemented
1005#452—791no—
1006#452—791no—
1007#452—791no—
1008#452—791no—
1009#452—791no—
1010#452—791no—
1011#450—791no—
1012#450—791no—
1013#450—791no—
1014#450—791no—
1015#450C2×D7911yescharacteristic
1016#450C2×D7911yescharacteristic
1017#449—791no—
1018#449—791no—
1019#447—791no—
1020#447—791no—
1021#442—791no—
1022#442—791no—
1023#442—791no—
1024#442—791no—
1025#441—791no—
1026#441—791no—
1027#441—791no—
1028#441—791no—
1029#440—791no—
1030#440—791no—
1031#440—791no—
1032#440—791no—
1033#440—791no—
1034#440—791no—
1035#440—791no—
1036#440—791no—
1037#440—791no—
1038#440—791no—
1039#440—791no—
1040#440—791no—
1041#440C2×D7911yescharacteristic, complemented
1042#440C2×D7911yescharacteristic, complemented
1043#440C2×D7911yescharacteristic, complemented
1044#440C2×D7911yescharacteristic, complemented
1045C4×Q16—791no—
1046C4×Q16—791no—
1047C4×SD16—791no—
1048C4×SD16—791no—
1049C4×SD16—791no—
1050C4×SD16—791no—
1051C4×D8—791no—
1052C4×D8—791no—
1053#433—791no—
1054#433—791no—
1055#433—791no—
1056#433—791no—
1057#432—791no—
1058#432—791no—
1059#432—791no—
1060#432C2×D7911yescharacteristic, complemented
1061#428—791no—
1062#428—791no—
1063#427—791no—
1064C2×#107—791no—
1065#424—791no—
1066#424—791no—
1067#419—791no—
1068#418—791no—
1069#417—791no—
1070#417—791no—
1071#416—791no—
1072#416—791no—
1073C2×#103—791no—
1074C2×#102—791no—
1075#408—791no—
1076#408—791no—
1077C4×M16—791no—
1078C2×#97—791no—
1079H(5,𝔽2)—1584no—
1080H(5,𝔽2)—1584no—
1081C2×#41—791no—
1082C2×#41—791no—
1083C2×#41—791no—
1084C2×#41—791no—
1085C2×#41—791no—
1086C2×#41—1581no—
1087C22×Q8—791no—
1088C22×D4—791no—
1089C22×D4—791no—
1090C22×D4—1581no—
1091C22×D4—1581no—
1092C22×D4—1581no—
1093C22×D4C22×D7911yescharacteristic
1094C23×C4—21no—
1095C23×C4—1581no—
1096C23×C4—1581no—
1097#137—1584no—
1098AGL(1,ℤ/8)—1584no—
1099#135—1584no—
1100C2×Q16—791no—
1101C2×Q16—791no—
1102C2×Q16—791no—
1103C2×SD16—791no—
1104C2×SD16—791no—
1105C2×SD16—791no—
1106C2×SD16—791no—
1107C2×SD16—791no—
1108C2×SD16—791no—
1109C2×SD16—1584no—
1110C2×SD16C22×D7911yescharacteristic
1111C2×SD16C22×D7911yescharacteristic
1112C2×SD16C22×D7911yescharacteristic
1113C2×SD16C22×D7911yescharacteristic
1114C2×D8—791no—
1115C2×D8—791no—
1116C2×D8—791no—
1117C2×M16—791no—
1118C2×M16—791no—
1119C22×C8—791no—
1120C22×C8—791no—
1121C4⋊Q8—791no—
1122C4⋊Q8—791no—
1123C4⋊Q8—1581no—
1124C4⋊Q8—1581no—
1125C4⋊Q8C22×D7911yescharacteristic
1126C4⋊Q8C22×D7911yescharacteristic
1127#126—1581no—
1128#126—1581no—
1129#126—1581no—
1130#126—1581no—
1131#126—1581no—
1132#126—1581no—
1133#126—1581no—
1134#126—1581no—
1135#125—21no—
1136#125—791no—
1137#125—791no—
1138#125—1581no—
1139#125—1581no—
1140#125—1581no—
1141#125—1581no—
1142#125—1581no—
1143#125—1581no—
1144#124—791no—
1145#124—791no—
1146#124—1581no—
1147#124—1581no—
1148#124—1581no—
1149#123—1581no—
1150#123—1581no—
1151#123—1581no—
1152#123—1581no—
1153#123—1581no—
1154#123—1581no—
1155#123—1581no—
1156#123—1581no—
1157C22⋊Q8—21no—
1158C22⋊Q8—791no—
1159C22⋊Q8—791no—
1160C22⋊Q8—791no—
1161C22⋊Q8—791no—
1162C22⋊Q8—1581no—
1163C22⋊Q8—1581no—
1164C22⋊Q8—1581no—
1165C22⋊Q8—1581no—
1166C22⋊Q8—1581no—
1167C22⋊Q8—1581no—
1168C22⋊Q8—1581no—
1169C22⋊Q8—1581no—
1170C22⋊Q8C22×D7911yescharacteristic
1171C22⋊Q8C22×D7911yescharacteristic
1172#121—791no—
1173#121—791no—
1174#121—1581no—
1175#121—1581no—
1176#121—1581no—
1177C4×Q8—21no—
1178C4×Q8—791no—
1179C4×Q8—791no—
1180C4×Q8—791no—
1181C4×Q8—791no—
1182C4×Q8—791no—
1183C4×Q8—791no—
1184C4×Q8—791no—
1185C4×Q8—791no—
1186C4×Q8—791no—
1187C4×Q8—791no—
1188C4×Q8—1581no—
1189C4×Q8—1581no—
1190C4×Q8—1581no—
1191C4×Q8—1581no—
1192C4×Q8C22×D7911yescharacteristic
1193C4×Q8C22×D7911yescharacteristic
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—791no—
1197C4×D4—791no—
1198C4×D4—791no—
1199C4×D4—791no—
1200C4×D4—791no—
1201C4×D4—791no—
1202C4×D4—791no—
1203C4×D4—791no—
1204C4×D4—791no—
1205C4×D4—791no—
1206C4×D4—791no—
1207C4×D4—791no—
1208C4×D4—791no—
1209C4×D4—791no—
1210C4×D4—791no—
1211C4×D4—791no—
1212C4×D4—1581no—
1213C4×D4—1581no—
1214C4×D4—1581no—
1215C4×D4—1581no—
1216C4×D4—1581no—
1217C4×D4—1581no—
1218C4×D4—1581no—
1219C4×D4—1581no—
1220C4×D4—1581no—
1221C4×D4—1581no—
1222C4×D4—1581no—
1223C4×D4—1581no—
1224C4×D4—1581no—
1225C4×D4—1581no—
1226C4×D4—1581no—
1227C4×D4—1581no—
1228C4×D4—1581no—
1229C4×D4—1581no—
1230C4×D4—1581no—
1231C4×D4—1581no—
1232C4×D4—1581no—
1233C4×D4—1581no—
1234C4×D4—1581no—
1235C4×D4—1581no—
1236C4×D4—1581no—
1237C4×D4—1581no—
1238C4×D4—1581no—
1239C4×D4—1581no—
1240C4×D4—1581no—
1241C4×D4C22×D7911yescharacteristic
1242C4×D4C22×D7911yescharacteristic
1243C4×D4C22×D7911yescharacteristic
1244C4×D4C22×D7911yescharacteristic
1245#117—21no—
1246#117—791no—
1247#117—791no—
1248#117—791no—
1249#117—791no—
1250#117—791no—
1251#117—791no—
1252#117—791no—
1253#117—1581no—
1254#117—1581no—
1255#117—1581no—
1256#117—1581no—
1257#117—1581no—
1258#117—1581no—
1259#117—1581no—
1260#117—1581no—
1261#117—1581no—
1262#117—1581no—
1263C2×C4⋊C4—791no—
1264C2×C4⋊C4—791no—
1265C2×C4⋊C4—791no—
1266C2×C4⋊C4—1581no—
1267C2×C4⋊C4—1581no—
1268C2×C4⋊C4—1581no—
1269C2×C4⋊C4—1581no—
1270C2×C4⋊C4C22×D7911yescharacteristic
1271C2×C22⋊C4—21no—
1272C2×C22⋊C4—1581no—
1273C2×C22⋊C4—1581no—
1274C2×C22⋊C4—1581no—
1275C2×C22⋊C4—1581no—
1276C2×C22⋊C4—1581no—
1277C2×C22⋊C4—1581no—
1278C2×C22⋊C4—1581no—
1279C2×C22⋊C4—1581no—
1280C2×C42—791no—
1281C2×C42—791no—
1282C2×C42—1581no—
1283C2×C42—1581no—
1284C2×C42—1581no—
1285C2×C42—1581no—
1286C2×C42—1581no—
1287C2×C42C22×D7911yescharacteristic
1288#107—791no—
1289#107—791no—
1290#107—791no—
1291#107—791no—
1292#107—791no—
1293#107—791no—
1294#107C22×D7911yescharacteristic
1295#107C22×D7911yescharacteristic
1296#107C22×D7911yescharacteristic
1297#107C22×D7911yescharacteristic
1298#106—791no—
1299#106—791no—
1300#106—791no—
1301#106—791no—
1302#106—791no—
1303#106—791no—
1304C4⋊C8—791no—
1305C4⋊C8—791no—
1306C4⋊C8—791no—
1307C4⋊C8—791no—
1308C4⋊C8—791no—
1309C4⋊C8—791no—
1310C4⋊C8C22×D7911yescharacteristic
1311C4⋊C8C22×D7911yescharacteristic
1312#103—791no—
1313#103—791no—
1314#103—791no—
1315#103—791no—
1316#103—791no—
1317#103—791no—
1318#103—791no—
1319#103—791no—
1320#103—791no—
1321#103—791no—
1322#103—791no—
1323#103—791no—
1324#103C22×D7911yescharacteristic
1325#103C22×D7911yescharacteristic
1326#103C22×D7911yescharacteristic
1327#103C22×D7911yescharacteristic
1328#102—791no—
1329#102—791no—
1330#102—791no—
1331#102—791no—
1332#102—791no—
1333#102—791no—
1334#102—791no—
1335#102—791no—
1336#102—791no—
1337#102—791no—
1338#102—791no—
1339#102—791no—
1340#102C22×D7911yescharacteristic
1341#102C22×D7911yescharacteristic
1342#102C22×D7911yescharacteristic
1343#102C22×D7911yescharacteristic
1344C22⋊C8—791no—
1345C22⋊C8—791no—
1346C22⋊C8—791no—
1347C22⋊C8—791no—
1348C22⋊C8—791no—
1349C22⋊C8—791no—
1350C22⋊C8C22×D7911yescharacteristic
1351C22⋊C8C22×D7911yescharacteristic
1352#97—791no—
1353#97—791no—
1354#97—791no—
1355#97—791no—
1356#97C22×D7911yescharacteristic
1357#97C22×D7911yescharacteristic
1358C4×C8—791no—
1359C4×C8—791no—
1360C24—21no—
1361C24—1581no—
1362C24—1581no—
1363#41—794no—
1364#41—1582no—
1365#41—1582no—
1366#41—1582no—
1367#41—1582no—
1368#41—1582no—
1369#41—1582no—
1370#41—1582no—
1371#41—1582no—
1372#41—1588no—
1373#41—1582no—
1374C2×Q8—21no—
1375C2×Q8—791no—
1376C2×Q8—791no—
1377C2×Q8—791no—
1378C2×Q8—1581no—
1379C2×Q8—1581no—
1380C2×Q8—1582no—
1381C2×Q8—1582no—
1382C2×Q8C23×D7911yescharacteristic
1383C2×Q8C23×D7911yescharacteristic
1384C2×D4—22no—
1385C2×D4—22no—
1386C2×D4—21no—
1387C2×D4—794no—
1388C2×D4—791no—
1389C2×D4—791no—
1390C2×D4—791no—
1391C2×D4—791no—
1392C2×D4—791no—
1393C2×D4—1581no—
1394C2×D4—1581no—
1395C2×D4—1582no—
1396C2×D4—1581no—
1397C2×D4—1581no—
1398C2×D4—1582no—
1399C2×D4—1588no—
1400C2×D4—1581no—
1401C2×D4—1581no—
1402C2×D4—1581no—
1403C2×D4—1588no—
1404C2×D4—1588no—
1405C2×D4—1581no—
1406C2×D4—1582no—
1407C2×D4C23×D7911yescharacteristic
1408C2×D4C23×D7911yescharacteristic
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—21no—
1413C22×C4—21no—
1414C22×C4—82no—
1415C22×C4—791no—
1416C22×C4—791no—
1417C22×C4—791no—
1418C22×C4—791no—
1419C22×C4—791no—
1420C22×C4—791no—
1421C22×C4—6322no—
1422C22×C4—6322no—
1423C22×C4—1581no—
1424C22×C4—1581no—
1425C22×C4—1581no—
1426C22×C4—1581no—
1427C22×C4—1581no—
1428C22×C4—1581no—
1429C22×C4—1581no—
1430C22×C4—1581no—
1431C22×C4—1581no—
1432C22×C4—1581no—
1433C22×C4—1581no—
1434C22×C4—1581no—
1435C22×C4—1581no—
1436C22×C4—1581no—
1437C22×C4—1581no—
1438C22×C4—1581no—
1439C22×C4—1581no—
1440C22×C4—1581no—
1441C22×C4D4×D7911yescharacteristic
1442C22×C4D4×D7911yescharacteristic
1443C22×C4C23×D7911yescharacteristic
1444Q16—1582no—
1445Q16—1582no—
1446Q16—1582no—
1447SD16—22no—
1448SD16—22no—
1449SD16—22no—
1450SD16—22no—
1451SD16—1582no—
1452SD16—1582no—
1453SD16—1582no—
1454SD16—1582no—
1455SD16—1582no—
1456SD16—1582no—
1457D8—1582no—
1458D8—1582no—
1459D8—1582no—
1460M16—1582no—
1461M16—1582no—
1462C2×C8—791no—
1463C2×C8—791no—
1464C2×C8—791no—
1465C2×C8—791no—
1466C2×C8—1582no—
1467C2×C8—1582no—
1468C2×C8C23×D7911yescharacteristic
1469C2×C8C23×D7911yescharacteristic
1470C2×C8C23×D7911yescharacteristic
1471C2×C8C23×D7911yescharacteristic
1472C4⋊C4—21no—
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—791no—
1481C4⋊C4—791no—
1482C4⋊C4—791no—
1483C4⋊C4—791no—
1484C4⋊C4—791no—
1485C4⋊C4—791no—
1486C4⋊C4—791no—
1487C4⋊C4—791no—
1488C4⋊C4—791no—
1489C4⋊C4—791no—
1490C4⋊C4—1581no—
1491C4⋊C4—1581no—
1492C4⋊C4—1581no—
1493C4⋊C4—1581no—
1494C4⋊C4—1581no—
1495C4⋊C4—1581no—
1496C4⋊C4—1581no—
1497C4⋊C4—1581no—
1498C4⋊C4—1581no—
1499C4⋊C4—1581no—
1500C4⋊C4—1581no—
1501C4⋊C4—1581no—
1502C4⋊C4—1581no—
1503C4⋊C4—1581no—
1504C4⋊C4—1581no—
1505C4⋊C4—1581no—
1506C4⋊C4—1581no—
1507C4⋊C4—1581no—
1508C4⋊C4—1581no—
1509C4⋊C4—1581no—
1510C4⋊C4—1581no—
1511C4⋊C4—1581no—
1512C4⋊C4C23×D7911yescharacteristic
1513C4⋊C4C23×D7911yescharacteristic
1514C4⋊C4C23×D7911yescharacteristic
1515C4⋊C4C23×D7911yescharacteristic
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—791no—
1523C22⋊C4—791no—
1524C22⋊C4—791no—
1525C22⋊C4—791no—
1526C22⋊C4—791no—
1527C22⋊C4—791no—
1528C22⋊C4—1581no—
1529C22⋊C4—1581no—
1530C22⋊C4—1581no—
1531C22⋊C4—1581no—
1532C22⋊C4—1581no—
1533C22⋊C4—1581no—
1534C22⋊C4—1581no—
1535C22⋊C4—1581no—
1536C22⋊C4—1581no—
1537C22⋊C4—1581no—
1538C22⋊C4—1581no—
1539C22⋊C4—1581no—
1540C22⋊C4—1581no—
1541C22⋊C4—1581no—
1542C22⋊C4—1581no—
1543C22⋊C4—1581no—
1544C22⋊C4—1581no—
1545C22⋊C4—1581no—
1546C22⋊C4—1581no—
1547C22⋊C4—1581no—
1548C22⋊C4—1581no—
1549C22⋊C4—1581no—
1550C22⋊C4—1581no—
1551C22⋊C4—1581no—
1552C42—21no—
1553C42—21no—
1554C42—791no—
1555C42—791no—
1556C42—791no—
1557C42—791no—
1558C42—791no—
1559C42—791no—
1560C42—1581no—
1561C42—1581no—
1562C42—1581no—
1563C42—1581no—
1564C42—1581no—
1565C42—1581no—
1566C42—1581no—
1567C42—1581no—
1568C42—1581no—
1569C42—1581no—
1570C42—1581no—
1571C42—1581no—
1572C42D4×D7911yescharacteristic
1573C42D4×D7911yescharacteristic
1574C42C23×D7911yescharacteristic
1575C42C23×D7911yescharacteristic
1576C23—24no—
1577C23—21no—
1578C23—21no—
1579C23—81no—
1580C23—81no—
1581C23—791no—
1582C23—791no—
1583C23—6321no—
1584C23—6321no—
1585C23—6321no—
1586C23—6321no—
1587C23—1584no—
1588C23—1584no—
1589C23—1581no—
1590C23—1581no—
1591C23C2×D4×D7911yescharacteristic
1592Q8—21no—
1593Q8—21no—
1594Q8—21no—
1595Q8—21no—
1596Q8—81no—
1597Q8—3162no—
1598Q8—792no—
1599Q8—6321no—
1600Q8—1582no—
1601Q8—1581no—
1602Q8—1581no—
1603Q8—1581no—
1604D4—24no—
1605D4—21no—
1606D4—21no—
1607D4—3162no—
1608D4—792no—
1609D4—6321no—
1610D4—6321no—
1611D4—1582no—
1612D4—1582no—
1613D4—1584no—
1614D4—1582no—
1615D4—1584no—
1616D4—1584no—
1617D4—1584no—
1618D4—1584no—
1619D4—1581no—
1620D4—1581no—
1621D4—1581no—
1622D4#41×D7912yes—
1623D4#41×D7912yes—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—41no—
1633C2×C4—41no—
1634C2×C4—42no—
1635C2×C4—42no—
1636C2×C4—81no—
1637C2×C4—81no—
1638C2×C4—81no—
1639C2×C4—3162no—
1640C2×C4—3162no—
1641C2×C4—3161no—
1642C2×C4—3161no—
1643C2×C4—3161no—
1644C2×C4—3161no—
1645C2×C4—3162no—
1646C2×C4—3162no—
1647C2×C4—791no—
1648C2×C4—792no—
1649C2×C4—792no—
1650C2×C4—791no—
1651C2×C4—791no—
1652C2×C4—791no—
1653C2×C4—791no—
1654C2×C4—791no—
1655C2×C4—6321no—
1656C2×C4—6321no—
1657C2×C4—6321no—
1658C2×C4—6321no—
1659C2×C4—6321no—
1660C2×C4—6321no—
1661C2×C4—6321no—
1662C2×C4—6321no—
1663C2×C4—6321no—
1664C2×C4—6321no—
1665C2×C4—6321no—
1666C2×C4—1584no—
1667C2×C4—1581no—
1668C2×C4—1581no—
1669C2×C4—1581no—
1670C2×C4—1581no—
1671C2×C4—1581no—
1672C2×C4—1584no—
1673C2×C4—1584no—
1674C2×C4—1581no—
1675C2×C4—1581no—
1676C2×C4—1581no—
1677C2×C4C2×D4×D7911yescharacteristic
1678C2×C4C2×D4×D7911yescharacteristic
1679C2×C4C2×D4×D7911yescharacteristic
1680C2×C4C2×D4×D7911yescharacteristic
1681C2×C4C2×D4×D7911yescharacteristic
1682C2×C4C24×D7911yescharacteristic
1683C8—21no—
1684C8—21no—
1685C8—21no—
1686C8—21no—
1687C8—1581no—
1688C8—1581no—
1689C8—1581no—
1690C8—1581no—
1691C22—21no—
1692C22—22no—
1693C22—22no—
1694C22—21no—
1695C22—21no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—84no—
1701C22—3161no—
1702C22—3161no—
1703C22—3161no—
1704C22—3161no—
1705C22—3161no—
1706C22—792no—
1707C22—6324no—
1708C22—6324no—
1709C22—1582no—
1710C22—1581no—
1711C22—1581no—
1712C22—1581no—
1713C22—1581no—
1714C22—1581no—
1715C22C22×D4×D7911yescharacteristic
1716C4—21no—
1717C4—21no—
1718C4—21no—
1719C4—21no—
1720C4—21no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—3161no—
1728C4—3161no—
1729C4—3161no—
1730C4—3161no—
1731C4—3161no—
1732C4—792no—
1733C4—1581no—
1734C4—1582no—
1735C4—1581no—
1736C4—1581no—
1737C4—1581no—
1738C4—1581no—
1739C4C2×#41×D7911yescharacteristic
1740C4C2×#41×D7911yescharacteristic
1741C2—41no—
1742C2—42no—
1743C2—42no—
1744C2—3162no—
1745C2—3161no—
1746C2—6321no—
1747C2—1582no—
1748C2#525×D7911yescharacteristic
1749C2#2377817611yescharacteristic
1750C2#2377818311yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3110C2
socleC22×C79C23×D4
prime radical#23772705C2
hypercenter#3110D79
hypocenterC79#60575
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3110

Complements

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

NH ≅ G/Ntype
1. #23776831C2semidirect
2. C4×#14579206C2semidirect
3. #23773667C2semidirect
4. #23773665C2semidirect
5. #23773650C2semidirect
6. #23773646C2semidirect
7. #23773611C2semidirect
8. #23773609C2semidirect
9. #23773591C2semidirect
10. #23773585C2semidirect
11. #23773558C2semidirect
12. #23773556C2semidirect
13. #23773542C2semidirect
14. #23773538C2semidirect
15. #23773513C2semidirect
16. #23773511C2semidirect
17. #23773497C2semidirect
18. #23773379C2semidirect
19. #23773368C2semidirect
20. #23773246C2semidirect
21. #23773224C2semidirect
22. #23772945C2semidirect
23. #23772907C2semidirect
25. #23772672C2semidirect
26. #23772222C2semidirect
27. #23772205C2semidirect
28. #23772195C2semidirect
29. #440×D79C2semidirect
30. #23772046C2semidirect
31. C79×#3110C2semidirect
37. #19099190C22semidirect
38. #19099187C22semidirect
39. #19099186C22semidirect
41. #19099174C22semidirect
42. #19099173C22semidirect
47. #19099138C22semidirect
50. #19099117C22semidirect
52. #19099100C22semidirect
53. #19099097C22semidirect
67. C4×#11929625C22semidirect
73. C4×Q8×D79C22semidirect
79. #19098906C22semidirect
80. #19098905C22semidirect
81. #19098903C22semidirect
82. #19098902C22semidirect
83. #19098901C22semidirect
84. #19098901C22semidirect
85. #19098900C22semidirect
86. #19098897C22semidirect
87. #19098893C22semidirect
88. #19098892C22semidirect
89. #19098890C22semidirect
90. #19098888C22semidirect
91. #19098878C22semidirect
92. #19098876C22semidirect
93. #19098871C22semidirect
94. #19098869C22semidirect
95. #19098866C22semidirect
96. #19098865C22semidirect
97. #19098864C22semidirect
98. #19098863C22semidirect
99. #19098863C22semidirect
100. #19098861C22semidirect
101. #19098857C22semidirect
102. #19098855C22semidirect
103. #19098851C22semidirect
104. #19098850C22semidirect
105. #19098842C22semidirect
106. #19098841C22semidirect
107. #19098788C22semidirect
108. #19098786C22semidirect
109. #19098781C22semidirect
110. #19098780C22semidirect
111. #19098780C22semidirect
112. #19098779C22semidirect
113. #19098778C22semidirect
114. #19098778C22semidirect
115. #19098772C22semidirect
116. #19098770C22semidirect
117. #19098767C22semidirect
118. #19098766C22semidirect
119. #19098766C22semidirect
120. #19098765C22semidirect
135. #19098676C22semidirect
136. #19098673C22semidirect
137. #19098673C22semidirect
138. #19098672C22semidirect
139. #19098671C22semidirect
140. #19098668C22semidirect
141. #19098668C22semidirect
142. #19098667C22semidirect
143. #19098666C22semidirect
144. #19098665C22semidirect
145. #19098665C22semidirect
146. #19098664C22semidirect
147. #19098664C22semidirect
148. #19098663C22semidirect
149. #19098663C22semidirect
150. #19098662C22semidirect
151. #19098662C22semidirect
152. #19098661C22semidirect
153. #19098661C22semidirect
154. #19098660C22semidirect
155. #19098657C22semidirect
156. #19098655C22semidirect
157. #19098654C22semidirect
158. SD16×Dic79C22semidirect
159. SD16×Dic79C22semidirect
160. #19098648C22semidirect
161. #19098645C22semidirect
162. #19098643C22semidirect
163. #19098623C22semidirect
164. #19098623C22semidirect
165. #19098621C22semidirect
166. #19098621C22semidirect
167. #19098620C22semidirect
168. #19098618C22semidirect
169. #19098618C22semidirect
170. #19098604C22semidirect
171. #19098604C22semidirect
172. #19098600C22semidirect
173. #107×D79C22semidirect
174. #19098588C22semidirect
175. #19098588C22semidirect
176. #19098570C22semidirect
178. #19098563C22semidirect
180. #19098558C22semidirect
182. #103×D79C22semidirect
186. #19098515C22semidirect
187. #97×D79C22semidirect
188. #533×C79C22semidirect
190. #484×C79C22semidirect
191. #484×C79C22semidirect
192. #474×C79C22semidirect
193. #474×C79C22semidirect
194. #461×C79C22semidirect
195. #461×C79C22semidirect
198. #440×C79C22semidirect
199. #440×C79C22semidirect
200. #440×C79C22semidirect
201. #440×C79C22semidirect
202. #432×C79C22semidirect
893. #3110D79semidirect
907. C79#60575semidirect
927. #533C2×D79semidirect
965. #484C2×D79semidirect
966. #484C2×D79semidirect
987. #474C2×D79semidirect
988. #474C2×D79semidirect
1003. #461C2×D79semidirect
1004. #461C2×D79semidirect
1041. #440C2×D79semidirect
1042. #440C2×D79semidirect
1043. #440C2×D79semidirect
1044. #440C2×D79semidirect
1060. #432C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237768312
C4×#145792062
#237736672
#237736652
#237736502
#237736462
#237736112
#237736092
#237735912
#237735852
#237735582
#237735562
#237735422
#237735382
#237735132
#237735112
#237734972
#237733792
#237733682
#237732462
#237732242
#237729452
#237729072
#237727052
#237726722
#237722222
#237722052
#237721952
#440×D792
#237720462
C79×#31102
#6057579