Finite Group Databasebeta

← #35181774

Subgroups — #35181774

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#23777915C211yesmaximal, characteristic, complemented
2#23777422C211yesmaximal, characteristic, complemented
3#23776443C211yesmaximal, characteristic, complemented
4#23776440C211yesmaximal, characteristic, complemented
5#23776154C211yesmaximal, characteristic, complemented
6#23776149C211yesmaximal, characteristic, complemented
7#23775559C211yesmaximal, characteristic, complemented
8#23775554C211yesmaximal, characteristic, complemented
9#23775546C211yesmaximal, characteristic, complemented
10#23775544C211yesmaximal, characteristic, complemented
11#23775307C211yesmaximal, characteristic, complemented
12#23775305C211yesmaximal, characteristic, complemented
13D8×D316C211yesmaximal, characteristic, complemented
14#23775070C211yesmaximal, characteristic, complemented
15#23774897C211yesmaximal, characteristic, complemented
16#23774893C211yesmaximal, characteristic, complemented
17#23774884C211yesmaximal, characteristic, complemented
18#23774878C211yesmaximal, characteristic, complemented
19#23774818C211yesmaximal, characteristic, complemented
20#23774811C211yesmaximal, characteristic, complemented
21#23774709C211yesmaximal, characteristic, complemented
22#23774452C211yesmaximal, characteristic, complemented
23#23774447C211yesmaximal, characteristic, complemented
24#23774385C211yesmaximal, characteristic, complemented
25#23773589C211yesmaximal, characteristic, complemented
26#23773493C211yesmaximal, characteristic, complemented
27#23772903C211yesmaximal, characteristic, complemented
28#23772901C211yesmaximal, characteristic, complemented
29#463×D79C211yesmaximal, characteristic, complemented
30#23772534C211yesmaximal, characteristic, complemented
31C79×#3118C211yesmaximal, characteristic, complemented
32C2×#14579188C2211yescharacteristic, complemented
33C2×#14579187C2211yescharacteristic, complemented
34C2×SD16×D79C2211yescharacteristic, complemented
35C22×#11929609C2211yescharacteristic, complemented
36C2×D8×D79C2211yescharacteristic
37C2×D8×D79C2211yescharacteristic, complemented
38#19099309—21no—
39#19099305—21no—
40#19099298C2211yescharacteristic, complemented
41#19099296C2211yescharacteristic, complemented
42#19099276C2211yescharacteristic, complemented
43#19099272C2211yescharacteristic, complemented
44#19099263C2211yescharacteristic, complemented
45#19099262—21no—
46#19099257C2211yescharacteristic, complemented
47#19099234C2211yescharacteristic, complemented
48#19099225C2211yescharacteristic, complemented
49#19099223C2211yescharacteristic, complemented
50#19099210C2211yescharacteristic, complemented
51#19099209—21no—
52#19099206—21no—
53#19099204—21no—
54#19099204C2211yescharacteristic, complemented
55#19099203—21no—
56#19099203—21no—
57D4×D316C2211yescharacteristic, complemented
58D4×D316C2211yescharacteristic, complemented
59#19099197C2211yescharacteristic, complemented
60D4×C22⋊D79C2211yescharacteristic, complemented
61D4×C22⋊D79C2211yescharacteristic, complemented
62#19099187C2211yescharacteristic, complemented
63#19099168C2211yescharacteristic, complemented
64#19099164C2211yescharacteristic, complemented
65#19099152—21no—
66#19099152—21no—
67#19099151—21no—
68#19099149—21no—
69#19099146—21no—
70#19099132C2211yescharacteristic, complemented
71#19099131C2211yescharacteristic, complemented
72#19099124—21no—
73#19099114C2211yescharacteristic, complemented
74#19099110C2211yescharacteristic, complemented
75#19099091C2211yescharacteristic
76#124×D79C2211yescharacteristic, complemented
77#19099072—21no—
78C2×#14579134—21no—
79#19099035C2211yescharacteristic, complemented
80C4×D4×D79C2211yescharacteristic, complemented
81#19098952C2211yescharacteristic, complemented
82#19098951C2211yescharacteristic, complemented
83#19098949C2211yescharacteristic, complemented
84#19098949C2211yescharacteristic, complemented
85#19098940C2211yescharacteristic, complemented
86#19098938C2211yescharacteristic, complemented
87#19098928C2211yescharacteristic, complemented
88#19098926C2211yescharacteristic, complemented
89#19098924C2211yescharacteristic, complemented
90#19098921C2211yescharacteristic, complemented
91#19098919C2211yescharacteristic, complemented
92#19098918C2211yescharacteristic, complemented
93#19098907C2211yescharacteristic, complemented
94#19098889C2211yescharacteristic, complemented
95#19098883C2211yescharacteristic, complemented
96#19098883C2211yescharacteristic, complemented
97#19098870C2211yescharacteristic, complemented
98#19098869C2211yescharacteristic, complemented
99#19098866C2211yescharacteristic, complemented
100#19098863C2211yescharacteristic, complemented
101#19098850C2211yescharacteristic, complemented
102#19098842C2211yescharacteristic, complemented
103#19098842C2211yescharacteristic, complemented
104#19098840C2211yescharacteristic, complemented
105#19098815C2211yescharacteristic, complemented
106#19098814C2211yescharacteristic, complemented
107#19098811C2211yescharacteristic, complemented
108#19098810C2211yescharacteristic, complemented
109#19098800C2211yescharacteristic, complemented
110#19098800C2211yescharacteristic, complemented
111#19098800C2211yescharacteristic, complemented
112#19098798C2211yescharacteristic, complemented
113#19098798C2211yescharacteristic, complemented
114#19098797C2211yescharacteristic, complemented
115#19098794C2211yescharacteristic, complemented
116#19098791C2211yescharacteristic, complemented
117#19098781C2211yescharacteristic, complemented
118#19098781C2211yescharacteristic, complemented
119#19098780C2211yescharacteristic, complemented
120#19098780C2211yescharacteristic, complemented
121#19098779C2211yescharacteristic, complemented
122#19098779C2211yescharacteristic, complemented
123#19098778C2211yescharacteristic, complemented
124#19098778C2211yescharacteristic, complemented
125#19098778C2211yescharacteristic, complemented
126#19098778C2211yescharacteristic, complemented
127#19098777C2211yescharacteristic, complemented
128#19098776C2211yescharacteristic, complemented
129#19098775C2211yescharacteristic, complemented
130#19098775C2211yescharacteristic, complemented
131#19098763C2211yescharacteristic, complemented
132#19098762C2211yescharacteristic, complemented
133#19098759C2211yescharacteristic, complemented
134#19098759C2211yescharacteristic, complemented
135#19098758C2211yescharacteristic
136#19098758C2211yescharacteristic, complemented
137#19098758C2211yescharacteristic, complemented
138#19098758C2211yescharacteristic, complemented
139#19098758C2211yescharacteristic, complemented
140#19098757C2211yescharacteristic, complemented
141#19098757C2211yescharacteristic, complemented
142#19098757C2211yescharacteristic, complemented
143#19098757C2211yescharacteristic, complemented
144#19098756C2211yescharacteristic
145#19098715C2211yescharacteristic, complemented
146#19098711C2211yescharacteristic, complemented
147#19098710C2211yescharacteristic, complemented
148#19098710C2211yescharacteristic, complemented
149#19098707C2211yescharacteristic, complemented
150#19098703C2211yescharacteristic, complemented
151#19098700C2211yescharacteristic, complemented
152#19098699C2211yescharacteristic, complemented
153#19098699C2211yescharacteristic, complemented
154#19098698C2211yescharacteristic
155#19098698C2211yescharacteristic, complemented
156#19098698C2211yescharacteristic, complemented
157#19098698C2211yescharacteristic, complemented
158#19098698C2211yescharacteristic, complemented
159#19098695C2211yescharacteristic, complemented
160#19098695C2211yescharacteristic, complemented
161#19098693C2211yescharacteristic, complemented
162#19098691C2211yescharacteristic, complemented
163#19098674C2211yescharacteristic, complemented
164#19098674C2211yescharacteristic, complemented
165#19098674C2211yescharacteristic, complemented
166#19098672C2211yescharacteristic, complemented
167#19098672C2211yescharacteristic, complemented
168#19098660C2211yescharacteristic, complemented
169#19098650C2211yescharacteristic, 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#19098567C2211yescharacteristic, complemented
183#19098566C2211yescharacteristic, complemented
184#19098558C2211yescharacteristic, complemented
185#19098557C2211yescharacteristic, complemented
186#103×D79C2211yescharacteristic, complemented
187#102×D79C2211yescharacteristic, complemented
188#542×C79C2211yescharacteristic, complemented
189#518×C79C2211yescharacteristic, complemented
190#485×C79C2211yescharacteristic, complemented
191#482×C79C2211yescharacteristic, complemented
192#476×C79C2211yescharacteristic, complemented
193#474×C79C2211yescharacteristic, complemented
194#463×C79C2211yescharacteristic, complemented
195#463×C79C2211yescharacteristic, complemented
196#450×C79C2211yescharacteristic, complemented
197#447×C79C2211yescharacteristic
198#442×C79C2211yescharacteristic, complemented
199#440×C79C2211yescharacteristic, complemented
200C4×SD16×C79C2211yescharacteristic, complemented
201C4×D8×C79C2211yescharacteristic, complemented
202#433×C79C2211yescharacteristic, complemented
203C2×#11929625—21no—
204C2×#11929625C2311yescharacteristic
205C2×#11929624—21no—
206C2×#11929624—21no—
207C2×#11929624C2311yescharacteristic
208C2×Q8×D79C2311yescharacteristic
209C22×D316—21no—
210C22×D316—21no—
211C22×D316C2311yescharacteristic
212C22×C22⋊D79—21no—
213C22×C22⋊D79—21no—
214C2×D4×D79—21no—
215C2×D4×D79C2311yescharacteristic
216C2×D4×D79C2311yescharacteristic
217C2×D4×D79C2311yescharacteristic
218C2×D4×D79C2311yescharacteristic
219C22×C4×D79—21no—
220#14579188—42no—
221#14579187—42no—
222C2×#11929613C2311yescharacteristic
223C2×#11929613C2311yescharacteristic
224C2×#11929612C2311yescharacteristic
225C2×#11929612C2311yescharacteristic
226C2×#11929611C2311yescharacteristic
227C2×#11929611C2311yescharacteristic
228SD16×D79—42no—
229C2×D632C2311yescharacteristic
230C2×D632C2311yescharacteristic
231C2×D632C2311yescharacteristic
232C2×D632C2311yescharacteristic
233C2×D632C2311yescharacteristic
234C2×D632C2311yescharacteristic
235C2×#11929609—42no—
236C2×#11929609C2311yescharacteristic
237C2×#11929609C2311yescharacteristic
238C2×#11929609C2311yescharacteristic
239C2×#11929609C2311yescharacteristic
240C2×#11929609C2311yescharacteristic
241C2×#11929609C2311yescharacteristic
242C2×#11929609C2311yescharacteristic
243C2×#11929609C2311yescharacteristic
244D8×D79—42no—
245D8×D79—42no—
246C2×#11929608C2311yescharacteristic
247C2×#11929607C2311yescharacteristic
248C22×C79⋊C8C2311yescharacteristic
249C2×C8×D79C2311yescharacteristic
250C2×C8×D79C2311yescharacteristic
251C2×C8×D79C2311yescharacteristic
252#14579160C2311yescharacteristic
253#14579158C2311yescharacteristic
254#14579158C2311yescharacteristic
255#14579158C2311yescharacteristic
256#14579157C2311yescharacteristic
257#14579157C2311yescharacteristic
258#14579157C2311yescharacteristic
259#14579156—21no—
260#14579156D411yescharacteristic
261#14579155—21no—
262#14579154—21no—
263#14579154D411yescharacteristic
264#14579153C2311yescharacteristic
265#14579152C2311yescharacteristic
266#14579151D411yescharacteristic
267#14579150—21no—
268#14579150—21no—
269#14579150C2311yescharacteristic
270#14579150C2311yescharacteristic
271#14579149—21no—
272#14579149—21no—
273#14579149—21no—
274#14579149C2311yescharacteristic
275#14579149C2311yescharacteristic
276#14579148C2311yescharacteristic
277#14579147—21no—
278#14579147—21no—
279#14579147—21no—
280#14579147—21no—
281#14579147—21no—
282#14579147—21no—
283#14579147D411yescharacteristic
284#14579146—21no—
285#14579146—21no—
286#14579146—21no—
287#14579146—21no—
288#14579146—21no—
289#14579146—21no—
290#14579146D411yescharacteristic
291#14579144—21no—
292#14579144—21no—
293#14579144—21no—
294#14579143—21no—
295#14579143—21no—
296#14579143—21no—
297#14579143—21no—
298#14579143D411yescharacteristic
299#14579141—21no—
300#14579141C2311yescharacteristic
301#14579140—21no—
302#14579139—21no—
303#14579139D411yescharacteristic
304#14579138—21no—
305#14579138—21no—
306#14579137—21no—
307#14579136—21no—
308#14579136—21no—
309#14579136—21no—
310#14579136—21no—
311#14579136—21no—
312#14579136C2311yescharacteristic
313#14579136C2311yescharacteristic
314#14579136C2311yescharacteristic
315#14579136C2311yescharacteristic
316#14579136C2311yescharacteristic
317#14579135—21no—
318#14579135—21no—
319#14579135—21no—
320#14579135—21no—
321#14579135C2311yescharacteristic
322#14579135C2311yescharacteristic
323#14579134—21no—
324#14579134—21no—
325#14579134—21no—
326#14579134—21no—
327#14579134—21no—
328#14579134—21no—
329#14579134—21no—
330#14579134—21no—
331#14579134—21no—
332#14579134—21no—
333#14579134—21no—
334#14579134—21no—
335#14579134—21no—
336#14579134D411yescharacteristic
337#14579133—21no—
338#14579133—21no—
339#14579132—21no—
340#14579132C2311yescharacteristic
341#14579132C2311yescharacteristic
342#14579131—21no—
343#14579131—21no—
344#14579131—21no—
345#14579131—21no—
346#14579131—21no—
347#14579131—21no—
348#14579131—21no—
349#14579131—21no—
350#14579131—21no—
351#14579131—21no—
352#14579130—21no—
353#14579130—21no—
354#14579129—21no—
355#14579129—21no—
356#14579129—21no—
357#14579129—21no—
358C4×Dic158C2311yescharacteristic
359#14579126C2311yescharacteristic
360C4×D316—21no—
361C4×D316—21no—
362C4×D316—21no—
363C4×D316C2311yescharacteristic
364C4×D316C2311yescharacteristic
365C4×D316C2311yescharacteristic
366D4×Dic79C2311yescharacteristic
367D4×Dic79C2311yescharacteristic
368#14579123—21no—
369#14579123—21no—
370#14579123C2311yescharacteristic
371#14579123C2311yescharacteristic
372#14579123C2311yescharacteristic
373#14579123C2311yescharacteristic
374#14579123C2311yescharacteristic
375C4×C22⋊D79—21no—
376C4×C22⋊D79—21no—
377C4×C22⋊D79—21no—
378C4×C22⋊D79—21no—
379C4×C22⋊D79—21no—
380C4×C22⋊D79C2311yescharacteristic
381C4×C22⋊D79C2311yescharacteristic
382(C22⋊D79)⋊C4—21no—
383(C22⋊D79)⋊C4—21no—
384#14579119C2311yescharacteristic
385#14579118—21no—
386#14579118C2311yescharacteristic
387C2×Dic79⋊C4—21no—
388C4⋊C4×D79C2311yescharacteristic
389C2×(C2×D79)⋊C4—21no—
390C22⋊C4×D79—21no—
391C22⋊C4×D79—21no—
392C22⋊C4×D79—21no—
393C22⋊C4×D79—21no—
394C22⋊C4×D79—21no—
395C22⋊C4×D79—21no—
396C42×D79C2311yescharacteristic
397#14579094C2311yescharacteristic
398#14579094C2311yescharacteristic
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#14579084C2311yescharacteristic
414#14579084C2311yescharacteristic
415#14579083C2311yescharacteristic
416#14579083C2311yescharacteristic
417#14579083C2311yescharacteristic
418#14579083C2311yescharacteristic
419#14579083C2311yescharacteristic
420#14579083C2311yescharacteristic
421#14579082C2311yescharacteristic
422#14579082C2311yescharacteristic
423#14579081C2311yescharacteristic
424#14579081C2311yescharacteristic
425#14579081C2311yescharacteristic
426#14579081C2311yescharacteristic
427#14579081C2311yescharacteristic
428#14579081C2311yescharacteristic
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
441C22×D4×C79C2311yescharacteristic
442C2×SD16×C79C2311yescharacteristic
443C2×SD16×C79C2311yescharacteristic
444C2×D8×C79C2311yescharacteristic
445C2×D8×C79C2311yescharacteristic
446C4⋊Q8×C79C2311yescharacteristic
447#126×C79—21no—
448#124×C79—21no—
449#124×C79C2311yescharacteristic
450#123×C79—21no—
451C22⋊Q8×C79—21no—
452C22⋊Q8×C79C2311yescharacteristic
453#121×C79C2311yescharacteristic
454C4×Q8×C79C2311yescharacteristic
455C4×D4×C79—21no—
456C4×D4×C79—21no—
457C4×D4×C79C2311yescharacteristic
458C4×D4×C79C2311yescharacteristic
459C4×D4×C79C2311yescharacteristic
460C4×D4×C79C2311yescharacteristic
461C4×D4×C79C2311yescharacteristic
462#117×C79C2311yescharacteristic
463#117×C79C2311yescharacteristic
464C2×C22⋊C4×C79—21no—
465C2×C22⋊C4×C79—21no—
466#107×C79C2311yescharacteristic
467#107×C79C2311yescharacteristic
468#106×C79C2311yescharacteristic
469#106×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#11929625—82no—
492#11929624—41no—
493#11929624—41no—
494#11929624—82no—
495#11929624—82no—
496C2×Dic158—21no—
497C2×Dic158—21no—
498C2×Dic158C2×D411yescharacteristic
499C2×Dic158C2411yescharacteristic
500Q8×D79—41no—
501Q8×D79—41no—
502C2×D316—21no—
503C2×D316—21no—
504C2×D316—21no—
505C2×D316—21no—
506C2×D316—21no—
507C2×D316—21no—
508C2×D316—21no—
509C2×D316—21no—
510C2×D316—21no—
511C2×D316—21no—
512C2×D316—21no—
513C2×D316—21no—
514C2×D316—21no—
515C2×D316—41no—
516C2×D316—41no—
517C2×D316—82no—
518C2×D316—82no—
519C2×D316C2×D411yescharacteristic
520C2×D316C2411yescharacteristic
521C2×D316C2411yescharacteristic
522C2×D316C2411yescharacteristic
523C2×D316C2411yescharacteristic
524C2×D316C2411yescharacteristic
525C2×C22⋊D79—21no—
526C2×C22⋊D79—21no—
527C2×C22⋊D79—21no—
528C2×C22⋊D79—21no—
529C2×C22⋊D79—21no—
530C2×C22⋊D79—21no—
531C2×C22⋊D79—21no—
532C2×C22⋊D79—21no—
533C2×C22⋊D79—21no—
534C2×C22⋊D79—21no—
535C2×C22⋊D79—21no—
536C2×C22⋊D79—21no—
537C2×C22⋊D79—21no—
538C2×C22⋊D79—21no—
539C2×C22⋊D79—21no—
540C2×C22⋊D79—82no—
541C2×C22⋊D79—82no—
542C2×C22⋊D79C2×D411yescharacteristic
543C2×C22⋊D79C2×D411yescharacteristic
544D4×D79—22no—
545D4×D79—22no—
546D4×D79—41no—
547D4×D79—41no—
548D4×D79—41no—
549D4×D79—41no—
550D4×D79—41no—
551D4×D79—41no—
552D4×D79—82no—
553C22×Dic79—21no—
554C22×Dic79—21no—
555C2×C4×D79—21no—
556C2×C4×D79—21no—
557C2×C4×D79—21no—
558C2×C4×D79—21no—
559C2×C4×D79—21no—
560C2×C4×D79—21no—
561C2×C4×D79—21no—
562C2×C4×D79—21no—
563C2×C4×D79—21no—
564C2×C4×D79—21no—
565C2×C4×D79—21no—
566C2×C4×D79—82no—
567C2×C4×D79C2×D411yescharacteristic
568C2×C4×D79C2×D411yescharacteristic
569C2×C4×D79C2411yescharacteristic
570C2×C4×D79C2411yescharacteristic
571#11929613—41no—
572#11929613—41no—
573#11929612—22no—
574#11929612—41no—
575#11929611—41no—
576#11929611—41no—
577D632—41no—
578D632—41no—
579D632—41no—
580D632—41no—
581D632—41no—
582D632—41no—
583#11929609—22no—
584#11929609—22no—
585#11929609—22no—
586#11929609—41no—
587#11929609—41no—
588#11929609—41no—
589#11929609—41no—
590#11929609—41no—
591#11929608—41no—
592#11929607—41no—
593C2×C79⋊C8—41no—
594C2×C79⋊C8C2411yescharacteristic
595C2×C79⋊C8C2411yescharacteristic
596C2×C79⋊C8C2411yescharacteristic
597C2×C79⋊C8C2411yescharacteristic
598C8×D79—41no—
599C8×D79—41no—
600C8×D79—41no—
601C4⋊Dic79—21no—
602C4⋊Dic79—21no—
603C4⋊Dic79C2×D411yescharacteristic
604C4⋊Dic79C2×D411yescharacteristic
605C4⋊Dic79C2411yescharacteristic
606C4⋊Dic79C2411yescharacteristic
607Dic79⋊C4—21no—
608Dic79⋊C4—21no—
609Dic79⋊C4—21no—
610Dic79⋊C4—21no—
611Dic79⋊C4—21no—
612Dic79⋊C4—21no—
613Dic79⋊C4C2×D411yescharacteristic
614Dic79⋊C4C2×D411yescharacteristic
615Dic79⋊C4C2×D411yescharacteristic
616Dic79⋊C4C2×D411yescharacteristic
617Dic79⋊C4C2×D411yescharacteristic
618Dic79⋊C4C2×D411yescharacteristic
619C22⋊Dic79—21no—
620C22⋊Dic79—21no—
621C22⋊Dic79—21no—
622C22⋊Dic79—21no—
623C22⋊Dic79—21no—
624C22⋊Dic79—21no—
625C22⋊Dic79C2×D411yescharacteristic
626C22⋊Dic79C2×D411yescharacteristic
627(C2×D79)⋊C4—21no—
628(C2×D79)⋊C4—21no—
629(C2×D79)⋊C4—21no—
630(C2×D79)⋊C4—21no—
631(C2×D79)⋊C4—21no—
632(C2×D79)⋊C4—21no—
633(C2×D79)⋊C4—21no—
634(C2×D79)⋊C4—21no—
635(C2×D79)⋊C4—21no—
636(C2×D79)⋊C4—21no—
637(C2×D79)⋊C4—21no—
638(C2×D79)⋊C4—21no—
639(C2×D79)⋊C4—21no—
640(C2×D79)⋊C4—21no—
641(C2×D79)⋊C4—21no—
642(C2×D79)⋊C4—21no—
643(C2×D79)⋊C4—21no—
644(C2×D79)⋊C4—21no—
645(C2×D79)⋊C4—21no—
646(C2×D79)⋊C4—21no—
647(C2×D79)⋊C4—21no—
648(C2×D79)⋊C4—21no—
649(C2×D79)⋊C4—21no—
650(C2×D79)⋊C4—21no—
651(C2×D79)⋊C4C2×D411yescharacteristic
652(C2×D79)⋊C4C2×D411yescharacteristic
653(C2×D79)⋊C4C2×D411yescharacteristic
654(C2×D79)⋊C4C2×D411yescharacteristic
655(C2×D79)⋊C4C2×D411yescharacteristic
656(C2×D79)⋊C4C2×D411yescharacteristic
657C4×Dic79—21no—
658C4×Dic79—21no—
659C4×Dic79C2×D411yescharacteristic
660C4×Dic79C2×D411yescharacteristic
661C4×Dic79C2411yescharacteristic
662C4×Dic79C2411yescharacteristic
663C24×C79—21no—
664C2×Q8×C79—21no—
665C2×Q8×C79C2411yescharacteristic
666C2×D4×C79—22no—
667C2×D4×C79—21no—
668C2×D4×C79—21no—
669C2×D4×C79—41no—
670C2×D4×C79C2411yescharacteristic
671C2×D4×C79C2411yescharacteristic
672C2×D4×C79C2411yescharacteristic
673C22×C4×C79—21no—
674C22×C4×C79—21no—
675C22×C4×C79—21no—
676C22×C4×C79—21no—
677C22×C4×C79—21no—
678C22×C4×C79C2411yescharacteristic
679SD16×C79—22no—
680SD16×C79—41no—
681D8×C79—22no—
682D8×C79—41no—
683C2×C8×C79C2411yescharacteristic
684C2×C8×C79C2411yescharacteristic
685C2×C8×C79C2411yescharacteristic
686C2×C8×C79C2411yescharacteristic
687C4⋊C4×C79—21no—
688C4⋊C4×C79—21no—
689C4⋊C4×C79—21no—
690C4⋊C4×C79C2×D411yescharacteristic
691C4⋊C4×C79C2×D411yescharacteristic
692C4⋊C4×C79C2411yescharacteristic
693C4⋊C4×C79C2411yescharacteristic
694C4⋊C4×C79C2411yescharacteristic
695C4⋊C4×C79C2411yescharacteristic
696C22⋊C4×C79—21no—
697C22⋊C4×C79—21no—
698C22⋊C4×C79—21no—
699C22⋊C4×C79—21no—
700C22⋊C4×C79—21no—
701C22⋊C4×C79—21no—
702C22⋊C4×C79—21no—
703C22⋊C4×C79—21no—
704C22⋊C4×C79—21no—
705C22⋊C4×C79—21no—
706C22⋊C4×C79C2×D411yescharacteristic
707C22⋊C4×C79C2×D411yescharacteristic
708C42×C79—21no—
709C42×C79—21no—
710C42×C79C2411yescharacteristic
711C42×C79C2411yescharacteristic
712C23×C79—21no—
713C23×C79—21no—
714C23×C79—21no—
715C23×C79—42no—
716C23×C79—81no—
717C23×C79—81no—
718C23×C79C22×D411yescharacteristic
719C22×D79—21no—
720C22×D79—21no—
721C22×D79—21no—
722C22×D79—21no—
723C22×D79—21no—
724C22×D79—42no—
725C22×D79—42no—
726C22×D79—42no—
727C22×D79—42no—
728C22×D79—81no—
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—
743Q8×C79—81no—
744D4×C79—21no—
745D4×C79—21no—
746D4×C79—21no—
747D4×C79—21no—
748D4×C79—21no—
749D4×C79—42no—
750D4×C79—81no—
751D4×C79H(5,𝔽2)12yes—
752C2×C4×C79—21no—
753C2×C4×C79—21no—
754C2×C4×C79—21no—
755C2×C4×C79—21no—
756C2×C4×C79—21no—
757C2×C4×C79—21no—
758C2×C4×C79—21no—
759C2×C4×C79—81no—
760C2×C4×C79—81no—
761C2×C4×C79—81no—
762C2×C4×C79—81no—
763C2×C4×C79—81no—
764C2×C4×C79C22×D411yescharacteristic
765C2×C4×C79C22×D411yescharacteristic
766C2×C4×C79C22×D411yescharacteristic
767C2×C4×C79C22×D411yescharacteristic
768C2×C4×C79C22×D411yescharacteristic
769C2×C4×C79C2511yescharacteristic
770C22⋊D79—22no—
771C22⋊D79—41no—
772C22⋊D79—42no—
773C22⋊D79—42no—
774C22⋊D79—42no—
775C22⋊D79—42no—
776C22⋊D79—81no—
777C22⋊D79—81no—
778C22⋊D79—81no—
779C22⋊D79—81no—
780C22⋊D79—81no—
781C22⋊D79—81no—
782C22⋊D79—81no—
783C22⋊D79—81no—
784C22⋊D79—81no—
785C22⋊D79—81no—
786C22⋊D79—81no—
787C2×Dic79—21no—
788C2×Dic79—21no—
789C2×Dic79—21no—
790C2×Dic79—42no—
791C2×Dic79—81no—
792C2×Dic79C22×D411yescharacteristic
793C2×Dic79C22×D411yescharacteristic
794C2×Dic79C22×D411yescharacteristic
795C2×Dic79C22×D411yescharacteristic
796C2×Dic79C22×D411yescharacteristic
797C2×Dic79C22×D411yescharacteristic
798D316—22no—
799D316—21no—
800D316—21no—
801D316—21no—
802D316—21no—
803D316—21no—
804D316—21no—
805D316—21no—
806D316—21no—
807D316—21no—
808D316—21no—
809D316—42no—
810D316—42no—
811D316—42no—
812D316—81no—
813D316—81no—
814D316—81no—
815D316—81no—
816D316—81no—
817D316—81no—
818D316—81no—
819D316—81no—
820D316—81no—
821D316—81no—
822C4×D79—22no—
823C4×D79—21no—
824C4×D79—21no—
825C4×D79—21no—
826C4×D79—21no—
827C4×D79—41no—
828C4×D79—42no—
829C4×D79—81no—
830C4×D79—81no—
831C4×D79—81no—
832C4×D79—81no—
833C4×D79—81no—
834C4×D79—81no—
835C4×D79—81no—
836C4×D79—81no—
837C4×D79—81no—
838C4×D79—81no—
839Dic158—21no—
840Dic158—21no—
841Dic158—41no—
842Dic158—81no—
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—22no—
854C22×C79—21no—
855C22×C79—21no—
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—162no—
865C22×C79C23×D411yescharacteristic
866C2×D79—21no—
867C2×D79—21no—
868C2×D79—21no—
869C2×D79—21no—
870C2×D79—21no—
871C2×D79—41no—
872C2×D79—41no—
873C2×D79—41no—
874C2×D79—41no—
875C2×D79—41no—
876C2×D79—41no—
877C2×D79—41no—
878C2×D79—41no—
879C2×D79—41no—
880C2×D79—41no—
881C2×D79—41no—
882C2×D79—41no—
883C2×D79—41no—
884C2×D79—41no—
885C2×D79—41no—
886C2×D79—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×C79—41no—
901C4×C79—41no—
902C4×C79C2×H(5,𝔽2)11yescharacteristic
903C4×C79#58511yescharacteristic
904Dic79—21no—
905Dic79—21no—
906Dic79—21no—
907Dic79—21no—
908Dic79—21no—
909Dic79—21no—
910Dic79—41no—
911Dic79—41no—
912Dic79—41no—
913#62015—791nomaximal, Sylow
914C2×C79—42no—
915C2×C79—41no—
916C2×C79—81no—
917C2×C79—81no—
918C2×C79#348811yescharacteristic
919C2×C79C2×#57611yescharacteristic
920C2×C79#358511yescharacteristic
921D79—22no—
922D79—41no—
923D79—81no—
924D79—81no—
925D79—81no—
926D79—81no—
927D79—81no—
928#3558—791no—
929#3519—791no—
930#3399—791no—
931#3399—791no—
932#3370—791no—
933#3370—791no—
934#3319—791no—
935#3319—791no—
936#3318—791no—
937#3318—791no—
938#3301—791no—
939#3301—791no—
940D4×D8—791no—
941D4×D8—791no—
942#3265—791no—
943#3265—791no—
944#3264—791no—
945#3264—791no—
946#3257—791no—
947#3257—791no—
948#3245—791no—
949#3220—791no—
950#3220—791no—
951#3213—791no—
952#3118—791no—
953#3118D7911yescharacteristic, complemented
954#3109—791no—
955#3041—791no—
956#3041—791no—
957C2×#463—791no—
958#2992—791no—
959C79#6201511yescharacteristic, complemented, Sylow
960C2×AGL(1,ℤ/8)—791no—
961C2×AGL(1,ℤ/8)—791no—
962C22×SD16—791no—
963C22×D8—791no—
964C22×D8—791no—
965C22×D8—791no—
966#562—1581no—
967H(3,𝔽4)—1581no—
968#559—791no—
969#559—791no—
970#555—791no—
971#554—791no—
972#553—791no—
973#553—791no—
974#553—1581no—
975#550—791no—
976#548—791no—
977#548—791no—
978#546—791no—
979#546—791no—
980#546—1581no—
981#546—1581no—
982#546—1581no—
983#546—1581no—
984#546—1581no—
985D42—791no—
986D42—791no—
987D42—791no—
988D42—791no—
989D42—791no—
990#542—791no—
991#542C2×D7911yescharacteristic, complemented
992#540—791no—
993#540—791no—
994#538—1581no—
995#538—1581no—
996#538—1581no—
997#538—1581no—
998#538—1581no—
999#535—791no—
1000#535—791no—
1001#534—1581no—
1002#532—791no—
1003#532—791no—
1004#529—791no—
1005C2×#124—791no—
1006#525—1581no—
1007C2×#121—1581no—
1008#518—791no—
1009#518C2×D7911yescharacteristic, complemented
1010C2×C4×D4—791no—
1011#496—791no—
1012#496—791no—
1013#496—791no—
1014#496—791no—
1015#493—791no—
1016#493—791no—
1017#490—791no—
1018#490—791no—
1019#489—791no—
1020#489—791no—
1021#488—791no—
1022#488—791no—
1023#485—791no—
1024#485C2×D7911yescharacteristic, complemented
1025#482—791no—
1026#482C2×D7911yescharacteristic, complemented
1027#481—791no—
1028#481—791no—
1029#479—791no—
1030#479—791no—
1031#478—791no—
1032#478—791no—
1033#476—791no—
1034#476C2×D7911yescharacteristic, complemented
1035#474—791no—
1036#474—791no—
1037#474—791no—
1038#474C2×D7911yescharacteristic, complemented
1039#469—791no—
1040#469—791no—
1041#468—791no—
1042#468—791no—
1043#466—791no—
1044#466—791no—
1045#466—791no—
1046#466—791no—
1047#466—791no—
1048#466—791no—
1049#465—791no—
1050#465—791no—
1051#463—791no—
1052#463—791no—
1053#463—791no—
1054#463—791no—
1055#463—791no—
1056#463—791no—
1057#463—791no—
1058#463—791no—
1059#463—791no—
1060#463—791no—
1061#463—791no—
1062#463—791no—
1063#463—791no—
1064#463—791no—
1065#463C2×D7911yescharacteristic, complemented
1066#463C2×D7911yescharacteristic, complemented
1067#460—791no—
1068#460—791no—
1069#459—791no—
1070#459—791no—
1071#459—791no—
1072#459—791no—
1073#459—791no—
1074#459—791no—
1075#459—791no—
1076#459—791no—
1077#459—791no—
1078#459—791no—
1079#459—791no—
1080#459—791no—
1081#450—791no—
1082#450C2×D7911yescharacteristic, complemented
1083#449—791no—
1084#449—791no—
1085#449—791no—
1086#449—791no—
1087#448—791no—
1088#448—791no—
1089#447—791no—
1090#447—791no—
1091#447—791no—
1092#447—791no—
1093#447—791no—
1094#447—791no—
1095#447—791no—
1096#447—791no—
1097#447—791no—
1098#447C2×D7911yescharacteristic
1099#446—791no—
1100#446—791no—
1101#442—791no—
1102#442—791no—
1103#442—791no—
1104#442—791no—
1105#442—791no—
1106#442C2×D7911yescharacteristic, complemented
1107#440—791no—
1108#440C2×D7911yescharacteristic, complemented
1109C4×SD16—791no—
1110C4×SD16C2×D7911yescharacteristic, complemented
1111C4×D8—791no—
1112C4×D8C2×D7911yescharacteristic, complemented
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#418—791no—
1127#416—791no—
1128#416—791no—
1129C2×#103—791no—
1130C2×#102—791no—
1131C2×#41—791no—
1132C2×#41—791no—
1133C2×#41—1581no—
1134C2×#41—1581no—
1135C2×#41—1581no—
1136C22×Q8—791no—
1137C22×D4—791no—
1138C22×D4—791no—
1139C22×D4—791no—
1140C22×D4—791no—
1141C22×D4—791no—
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—
1151C2×SD16—3162no—
1152C2×SD16—791no—
1153C2×SD16—791no—
1154C2×SD16—791no—
1155C2×SD16—791no—
1156C2×SD16—791no—
1157C2×SD16—791no—
1158C2×SD16C22×D7911yescharacteristic
1159C2×SD16C22×D7911yescharacteristic
1160C2×D8—3162no—
1161C2×D8—3162no—
1162C2×D8—3162no—
1163C2×D8—791no—
1164C2×D8—791no—
1165C2×D8—791no—
1166C2×D8—791no—
1167C2×D8—791no—
1168C2×D8—791no—
1169C2×D8—791no—
1170C2×D8—791no—
1171C2×D8—791no—
1172C2×D8—791no—
1173C2×D8—791no—
1174C2×D8—791no—
1175C2×D8—791no—
1176C2×D8—791no—
1177C2×D8C22×D7911yescharacteristic
1178C2×D8C22×D7911yescharacteristic
1179C2×M16—791no—
1180C2×M16—791no—
1181C22×C8—791no—
1182C22×C8—791no—
1183C22×C8—791no—
1184C22×C8—791no—
1185C4⋊Q8—791no—
1186C4⋊Q8C22×D7911yescharacteristic
1187#127—791no—
1188#127—791no—
1189#127—791no—
1190#127—791no—
1191#127—791no—
1192#127—791no—
1193#126—21no—
1194#126—791no—
1195#126—791no—
1196#126—1581no—
1197#126—1581no—
1198#126—1581no—
1199#125—791no—
1200#125—791no—
1201#125—791no—
1202#124—21no—
1203#124—791no—
1204#124—791no—
1205#124—791no—
1206#124—791no—
1207#124—791no—
1208#124—791no—
1209#124—1581no—
1210#124—1581no—
1211#124—1581no—
1212#124—1581no—
1213#124—1581no—
1214#124—1581no—
1215#124—1581no—
1216#124—1581no—
1217#124—1581no—
1218#124—1581no—
1219#124—1581no—
1220#124C22×D7911yescharacteristic
1221#123—21no—
1222#123—791no—
1223#123—791no—
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—
1237C22⋊Q8—21no—
1238C22⋊Q8—791no—
1239C22⋊Q8—791no—
1240C22⋊Q8—1581no—
1241C22⋊Q8—1581no—
1242C22⋊Q8—1581no—
1243C22⋊Q8—1581no—
1244C22⋊Q8—1581no—
1245C22⋊Q8—1581no—
1246C22⋊Q8C22×D7911yescharacteristic
1247#121—791no—
1248#121—791no—
1249#121—791no—
1250#121—791no—
1251#121—791no—
1252#121—791no—
1253#121—791no—
1254#121—791no—
1255#121—791no—
1256#121—791no—
1257#121—1581no—
1258#121—1581no—
1259#121—1581no—
1260#121—1581no—
1261#121—1581no—
1262#121—1581no—
1263#121—1581no—
1264#121—1581no—
1265#121—1581no—
1266#121—1581no—
1267#121—1581no—
1268#121—1581no—
1269#121—1581no—
1270#121—1581no—
1271#121—1581no—
1272#121—1581no—
1273#121—1581no—
1274#121—1581no—
1275#121—1581no—
1276#121—1581no—
1277#121—1581no—
1278#121—1581no—
1279#121—1581no—
1280#121—1581no—
1281#121—1581no—
1282#121C22×D7911yescharacteristic
1283#120—1581no—
1284#120—1581no—
1285#120—1581no—
1286#120—1581no—
1287#120—1581no—
1288#120—1581no—
1289#120—1581no—
1290#120—1581no—
1291#120—1581no—
1292#120—1581no—
1293#120—1581no—
1294#120—1581no—
1295#120—1581no—
1296#120—1581no—
1297#120—1581no—
1298#120—1581no—
1299C4×Q8—791no—
1300C4×Q8—791no—
1301C4×Q8C22×D7911yescharacteristic
1302C4×D4—21no—
1303C4×D4—21no—
1304C4×D4—791no—
1305C4×D4—791no—
1306C4×D4—791no—
1307C4×D4—791no—
1308C4×D4—791no—
1309C4×D4—791no—
1310C4×D4—791no—
1311C4×D4—791no—
1312C4×D4—791no—
1313C4×D4—791no—
1314C4×D4—791no—
1315C4×D4—791no—
1316C4×D4—1581no—
1317C4×D4—1581no—
1318C4×D4—1581no—
1319C4×D4—1581no—
1320C4×D4—1581no—
1321C4×D4—1581no—
1322C4×D4—1581no—
1323C4×D4—1581no—
1324C4×D4—1581no—
1325C4×D4—1581no—
1326C4×D4—1581no—
1327C4×D4—1581no—
1328C4×D4C22×D7911yescharacteristic
1329C4×D4C22×D7911yescharacteristic
1330C4×D4C22×D7911yescharacteristic
1331C4×D4C22×D7911yescharacteristic
1332C4×D4C22×D7911yescharacteristic
1333#117—791no—
1334#117—791no—
1335#117—1581no—
1336#117C22×D7911yescharacteristic
1337#117C22×D7911yescharacteristic
1338C2×C4⋊C4—791no—
1339C2×C4⋊C4—1581no—
1340C2×C22⋊C4—21no—
1341C2×C22⋊C4—21no—
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#107C22×D7911yescharacteristic
1353#107C22×D7911yescharacteristic
1354#106—791no—
1355#106—791no—
1356#106C22×D7911yescharacteristic
1357#106C22×D7911yescharacteristic
1358C4⋊C8—791no—
1359C4⋊C8—791no—
1360C4⋊C8—791no—
1361C4⋊C8—791no—
1362C4⋊C8—791no—
1363C4⋊C8—791no—
1364C4⋊C8—791no—
1365C4⋊C8—791no—
1366C4⋊C8C22×D7911yescharacteristic
1367C4⋊C8C22×D7911yescharacteristic
1368#103—791no—
1369#103—791no—
1370#103—791no—
1371#103—791no—
1372#103—791no—
1373#103—791no—
1374#103C22×D7911yescharacteristic
1375#103C22×D7911yescharacteristic
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—3161no—
1419#41—3161no—
1420#41—3161no—
1421#41—3161no—
1422#41—6322no—
1423#41—6322no—
1424#41—6322no—
1425C2×Q8—21no—
1426C2×Q8—3161no—
1427C2×Q8—3161no—
1428C2×Q8—791no—
1429C2×Q8—791no—
1430C2×Q8—1581no—
1431C2×Q8—1581no—
1432C2×Q8C23×D7911yescharacteristic
1433C2×D4—22no—
1434C2×D4—21no—
1435C2×D4—21no—
1436C2×D4—41no—
1437C2×D4—3161no—
1438C2×D4—3161no—
1439C2×D4—3161no—
1440C2×D4—3161no—
1441C2×D4—3161no—
1442C2×D4—3161no—
1443C2×D4—3161no—
1444C2×D4—3161no—
1445C2×D4—791no—
1446C2×D4—791no—
1447C2×D4—791no—
1448C2×D4—791no—
1449C2×D4—791no—
1450C2×D4—791no—
1451C2×D4—791no—
1452C2×D4—791no—
1453C2×D4—6322no—
1454C2×D4—6322no—
1455C2×D4—6322no—
1456C2×D4—6322no—
1457C2×D4—6322no—
1458C2×D4—1581no—
1459C2×D4—1581no—
1460C2×D4—1581no—
1461C2×D4—1581no—
1462C2×D4—1581no—
1463C2×D4—1581no—
1464C2×D4—1581no—
1465C2×D4—1581no—
1466C2×D4—1581no—
1467C2×D4—1581no—
1468C2×D4—1581no—
1469C2×D4—1581no—
1470C2×D4—1581no—
1471C2×D4—1581no—
1472C2×D4—1581no—
1473C2×D4—1581no—
1474C2×D4—1581no—
1475C2×D4—1582no—
1476C2×D4—1582no—
1477C2×D4—1581no—
1478C2×D4—1581no—
1479C2×D4—1581no—
1480C2×D4—1581no—
1481C2×D4—1581no—
1482C2×D4—1581no—
1483C2×D4—1581no—
1484C2×D4—1581no—
1485C2×D4—1581no—
1486C2×D4—1581no—
1487C2×D4—1581no—
1488C2×D4C23×D7911yescharacteristic
1489C2×D4C23×D7911yescharacteristic
1490C2×D4C23×D7911yescharacteristic
1491C22×C4—21no—
1492C22×C4—21no—
1493C22×C4—21no—
1494C22×C4—21no—
1495C22×C4—21no—
1496C22×C4—791no—
1497C22×C4—791no—
1498C22×C4—791no—
1499C22×C4—791no—
1500C22×C4—6322no—
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
1515SD16—22no—
1516SD16—41no—
1517SD16—3161no—
1518SD16—3161no—
1519SD16—3161no—
1520SD16—3161no—
1521SD16—3161no—
1522SD16—1582no—
1523D8—22no—
1524D8—41no—
1525D8—3161no—
1526D8—3161no—
1527D8—3161no—
1528D8—3161no—
1529D8—3161no—
1530D8—3161no—
1531D8—3161no—
1532D8—3161no—
1533D8—3161no—
1534D8—3161no—
1535D8—3161no—
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—21no—
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—1581no—
1567C4⋊C4—1581no—
1568C4⋊C4—1581no—
1569C4⋊C4—1581no—
1570C4⋊C4—1581no—
1571C4⋊C4—1581no—
1572C4⋊C4—1581no—
1573C4⋊C4—1581no—
1574C4⋊C4D4×D7911yescharacteristic
1575C4⋊C4D4×D7911yescharacteristic
1576C4⋊C4C23×D7911yescharacteristic
1577C4⋊C4C23×D7911yescharacteristic
1578C4⋊C4C23×D7911yescharacteristic
1579C4⋊C4C23×D7911yescharacteristic
1580C22⋊C4—21no—
1581C22⋊C4—21no—
1582C22⋊C4—21no—
1583C22⋊C4—21no—
1584C22⋊C4—21no—
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—791no—
1591C22⋊C4—791no—
1592C22⋊C4—791no—
1593C22⋊C4—791no—
1594C22⋊C4—791no—
1595C22⋊C4—791no—
1596C22⋊C4—791no—
1597C22⋊C4—791no—
1598C22⋊C4—1581no—
1599C22⋊C4—1581no—
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—21no—
1631C42—21no—
1632C42—791no—
1633C42—791no—
1634C42—791no—
1635C42—791no—
1636C42—1581no—
1637C42—1581no—
1638C42C23×D7911yescharacteristic
1639C42C23×D7911yescharacteristic
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—42no—
1644C23—81no—
1645C23—81no—
1646C23—3162no—
1647C23—3162no—
1648C23—3162no—
1649C23—3162no—
1650C23—791no—
1651C23—791no—
1652C23—6321no—
1653C23—6321no—
1654C23—6321no—
1655C23—6321no—
1656C23—6321no—
1657C23—6321no—
1658C23—6321no—
1659C23—6321no—
1660C23—6321no—
1661C23—6321no—
1662C23—6321no—
1663C23—1581no—
1664C23—1581no—
1665C23—1581no—
1666C23—1581no—
1667C23—1581no—
1668C23C2×D4×D7911yescharacteristic
1669Q8—21no—
1670Q8—21no—
1671Q8—81no—
1672Q8—3161no—
1673Q8—6321no—
1674Q8—6321no—
1675Q8—1581no—
1676Q8—1581no—
1677D4—21no—
1678D4—21no—
1679D4—21no—
1680D4—21no—
1681D4—21no—
1682D4—42no—
1683D4—81no—
1684D4—3162no—
1685D4—3162no—
1686D4—3162no—
1687D4—3162no—
1688D4—3162no—
1689D4—3162no—
1690D4—3161no—
1691D4—3162no—
1692D4—6321no—
1693D4—6321no—
1694D4—6321no—
1695D4—6321no—
1696D4—6321no—
1697D4—6321no—
1698D4—6321no—
1699D4—6321no—
1700D4—6321no—
1701D4—6321no—
1702D4—6321no—
1703D4—6321no—
1704D4—6321no—
1705D4—6321no—
1706D4—6321no—
1707D4—6321no—
1708D4—6321no—
1709D4—6321no—
1710D4—6321no—
1711D4—6321no—
1712D4—6321no—
1713D4—1582no—
1714D4—1582no—
1715D4—1581no—
1716D4—1581no—
1717D4—1581no—
1718D4—1581no—
1719D4—1581no—
1720D4—1581no—
1721D4—1581no—
1722D4—1581no—
1723D4—1581no—
1724D4—1581no—
1725D4#1457920712yes—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—81no—
1734C2×C4—81no—
1735C2×C4—81no—
1736C2×C4—81no—
1737C2×C4—81no—
1738C2×C4—3161no—
1739C2×C4—3162no—
1740C2×C4—3162no—
1741C2×C4—791no—
1742C2×C4—791no—
1743C2×C4—791no—
1744C2×C4—791no—
1745C2×C4—791no—
1746C2×C4—791no—
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—6321no—
1757C2×C4—6321no—
1758C2×C4—1582no—
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—22no—
1782C22—21no—
1783C22—21no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—162no—
1793C22—3161no—
1794C22—3161no—
1795C22—3161no—
1796C22—3161no—
1797C22—3161no—
1798C22—3161no—
1799C22—3161no—
1800C22—3161no—
1801C22—3161no—
1802C22—3161no—
1803C22—3161no—
1804C22—3161no—
1805C22—3161no—
1806C22—3161no—
1807C22—3161no—
1808C22—792no—
1809C22—6324no—
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—41no—
1829C4—41no—
1830C4—3161no—
1831C4—3161no—
1832C4—3161no—
1833C4—1581no—
1834C4—1581no—
1835C4—1581no—
1836C4—1581no—
1837C4—1581no—
1838C4—1581no—
1839C4C2×#1457920711yescharacteristic
1840C4#1909939911yescharacteristic
1841C2—41no—
1842C2—42no—
1843C2—81no—
1844C2—81no—
1845C2—3161no—
1846C2—6321no—
1847C2—6321no—
1848C2—6321no—
1849C2—6321no—
1850C2—6321no—
1851C2—1582no—
1852C2#2377706111yescharacteristic
1853C2#576×D7911yescharacteristic
1854C2#2377817811yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3118C2
socleC22×C79C23×D4
hypercenter#3118D79
hypocenterC79#62015
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ #117 ◁ #3118

Complements

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

NH ≅ G/Ntype
1. #23777915C2semidirect
2. #23777422C2semidirect
3. #23776443C2semidirect
4. #23776440C2semidirect
5. #23776154C2semidirect
6. #23776149C2semidirect
7. #23775559C2semidirect
8. #23775554C2semidirect
9. #23775546C2semidirect
10. #23775544C2semidirect
11. #23775307C2semidirect
12. #23775305C2semidirect
13. D8×D316C2semidirect
14. #23775070C2semidirect
15. #23774897C2semidirect
16. #23774893C2semidirect
17. #23774884C2semidirect
18. #23774878C2semidirect
19. #23774818C2semidirect
20. #23774811C2semidirect
21. #23774709C2semidirect
22. #23774452C2semidirect
23. #23774447C2semidirect
24. #23774385C2semidirect
25. #23773589C2semidirect
26. #23773493C2semidirect
27. #23772903C2semidirect
28. #23772901C2semidirect
29. #463×D79C2semidirect
30. #23772534C2semidirect
31. C79×#3118C2semidirect
32. C2×#14579188C22semidirect
33. C2×#14579187C22semidirect
34. C2×SD16×D79C22semidirect
35. C22×#11929609C22semidirect
37. C2×D8×D79C22semidirect
40. #19099298C22semidirect
41. #19099296C22semidirect
42. #19099276C22semidirect
43. #19099272C22semidirect
44. #19099263C22semidirect
46. #19099257C22semidirect
47. #19099234C22semidirect
48. #19099225C22semidirect
49. #19099223C22semidirect
50. #19099210C22semidirect
54. #19099204C22semidirect
57. D4×D316C22semidirect
58. D4×D316C22semidirect
59. #19099197C22semidirect
60. D4×C22⋊D79C22semidirect
61. D4×C22⋊D79C22semidirect
62. #19099187C22semidirect
63. #19099168C22semidirect
64. #19099164C22semidirect
70. #19099132C22semidirect
71. #19099131C22semidirect
73. #19099114C22semidirect
74. #19099110C22semidirect
76. #124×D79C22semidirect
79. #19099035C22semidirect
80. C4×D4×D79C22semidirect
81. #19098952C22semidirect
82. #19098951C22semidirect
83. #19098949C22semidirect
84. #19098949C22semidirect
85. #19098940C22semidirect
86. #19098938C22semidirect
87. #19098928C22semidirect
88. #19098926C22semidirect
89. #19098924C22semidirect
90. #19098921C22semidirect
91. #19098919C22semidirect
92. #19098918C22semidirect
93. #19098907C22semidirect
94. #19098889C22semidirect
95. #19098883C22semidirect
96. #19098883C22semidirect
97. #19098870C22semidirect
98. #19098869C22semidirect
99. #19098866C22semidirect
100. #19098863C22semidirect
101. #19098850C22semidirect
102. #19098842C22semidirect
103. #19098842C22semidirect
104. #19098840C22semidirect
105. #19098815C22semidirect
106. #19098814C22semidirect
107. #19098811C22semidirect
108. #19098810C22semidirect
109. #19098800C22semidirect
110. #19098800C22semidirect
111. #19098800C22semidirect
112. #19098798C22semidirect
113. #19098798C22semidirect
114. #19098797C22semidirect
115. #19098794C22semidirect
116. #19098791C22semidirect
117. #19098781C22semidirect
118. #19098781C22semidirect
119. #19098780C22semidirect
120. #19098780C22semidirect
121. #19098779C22semidirect
122. #19098779C22semidirect
123. #19098778C22semidirect
124. #19098778C22semidirect
125. #19098778C22semidirect
126. #19098778C22semidirect
127. #19098777C22semidirect
128. #19098776C22semidirect
129. #19098775C22semidirect
130. #19098775C22semidirect
131. #19098763C22semidirect
132. #19098762C22semidirect
133. #19098759C22semidirect
134. #19098759C22semidirect
136. #19098758C22semidirect
137. #19098758C22semidirect
138. #19098758C22semidirect
139. #19098758C22semidirect
140. #19098757C22semidirect
141. #19098757C22semidirect
142. #19098757C22semidirect
143. #19098757C22semidirect
145. #19098715C22semidirect
146. #19098711C22semidirect
147. #19098710C22semidirect
148. #19098710C22semidirect
149. #19098707C22semidirect
150. #19098703C22semidirect
151. #19098700C22semidirect
152. #19098699C22semidirect
153. #19098699C22semidirect
155. #19098698C22semidirect
156. #19098698C22semidirect
157. #19098698C22semidirect
158. #19098698C22semidirect
159. #19098695C22semidirect
160. #19098695C22semidirect
161. #19098693C22semidirect
162. #19098691C22semidirect
163. #19098674C22semidirect
164. #19098674C22semidirect
165. #19098674C22semidirect
166. #19098672C22semidirect
167. #19098672C22semidirect
168. #19098660C22semidirect
169. #19098650C22semidirect
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. #19098567C22semidirect
183. #19098566C22semidirect
184. #19098558C22semidirect
185. #19098557C22semidirect
186. #103×D79C22semidirect
187. #102×D79C22semidirect
188. #542×C79C22semidirect
189. #518×C79C22semidirect
190. #485×C79C22semidirect
191. #482×C79C22semidirect
192. #476×C79C22semidirect
193. #474×C79C22semidirect
194. #463×C79C22semidirect
195. #463×C79C22semidirect
196. #450×C79C22semidirect
198. #442×C79C22semidirect
199. #440×C79C22semidirect
200. C4×SD16×C79C22semidirect
201. C4×D8×C79C22semidirect
202. #433×C79C22semidirect
953. #3118D79semidirect
959. C79#62015semidirect
991. #542C2×D79semidirect
1009. #518C2×D79semidirect
1024. #485C2×D79semidirect
1026. #482C2×D79semidirect
1034. #476C2×D79semidirect
1038. #474C2×D79semidirect
1065. #463C2×D79semidirect
1066. #463C2×D79semidirect
1082. #450C2×D79semidirect
1106. #442C2×D79semidirect
1108. #440C2×D79semidirect
1110. C4×SD16C2×D79semidirect
1112. C4×D8C2×D79semidirect
1120. #433C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779152
#237774222
#237764432
#237764402
#237761542
#237761492
#237755592
#237755542
#237755462
#237755442
#237753072
#237753052
D8×D3162
#237750702
#237748972
#237748932
#237748842
#237748782
#237748182
#237748112
#237747092
#237744522
#237744472
#237743852
#237735892
#237734932
#237729032
#237729012
#463×D792
#237725342
C79×#31182
#6201579