Finite Group Databasebeta

← #35180498

Subgroups — #35180498

Order 20224.

1952 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777349C211yesmaximal, characteristic, complemented
2#23777004C211yesmaximal, characteristic, complemented
3#23776412C211yesmaximal, characteristic, complemented
4#23776397C211yesmaximal, characteristic, complemented
5#23776061C211yesmaximal, characteristic, complemented
6#23776050C211yesmaximal, characteristic, complemented
7#23775307C211yesmaximal, characteristic, complemented
8#23775300C211yesmaximal, characteristic, complemented
9#23775274C211yesmaximal, characteristic, complemented
10#23775255C211yesmaximal, characteristic, complemented
11#23775248C211yesmaximal, characteristic, complemented
12#23775222C211yesmaximal, characteristic, complemented
13#23775111C211yesmaximal, characteristic, complemented
14#23775109C211yesmaximal, characteristic, complemented
15#23775094C211yesmaximal, characteristic, complemented
16#23775086C211yesmaximal, characteristic, complemented
17#23775078C211yesmaximal, characteristic, complemented
18#23775070C211yesmaximal, characteristic, complemented
19#23774751C211yesmaximal, characteristic, complemented
20#23774747C211yesmaximal, characteristic, complemented
21#23774725C211yesmaximal, characteristic, complemented
22#23774367C211yesmaximal, characteristic, complemented
23#23774363C211yesmaximal, characteristic, complemented
24#23774332C211yesmaximal, characteristic, complemented
25#23773452C211yesmaximal, characteristic, complemented
26#23773423C211yesmaximal, characteristic, complemented
27#23772852C211yesmaximal, characteristic, complemented
28C2×#19098778C211yesmaximal, characteristic, complemented
29#463×D79C211yesmaximal, characteristic, complemented
30#23772508C211yesmaximal, characteristic, complemented
31C79×#3105C211yesmaximal, characteristic, complemented
32C2×#14579182C2211yescharacteristic, complemented
33C2×#14579180C2211yescharacteristic, complemented
34C22×#11929612C2211yescharacteristic, complemented
35C2×SD16×D79C2211yescharacteristic, complemented
36C22×#11929609C2211yescharacteristic
37C2×D8×D79C2211yescharacteristic
38#19099296C2211yescharacteristic, complemented
39#19099296C2211yescharacteristic, complemented
40#19099285C2211yescharacteristic, complemented
41#19099276—21no—
42#19099272C2211yescharacteristic, complemented
43#19099268C2211yescharacteristic
44#19099263C2211yescharacteristic, complemented
45#19099262—21no—
46#19099261C2211yescharacteristic, complemented
47#19099242—21no—
48#19099239—21no—
49#19099237—21no—
50#19099236—21no—
51#19099226C2211yescharacteristic
52#19099225C2211yescharacteristic, complemented
53#19099219C2211yescharacteristic, complemented
54#19099208C2211yescharacteristic, complemented
55#19099208C2211yescharacteristic, complemented
56#19099207C2211yescharacteristic, complemented
57#19099205—21no—
58#19099204C2211yescharacteristic, complemented
59#19099203—21no—
60#19099197C2211yescharacteristic
61D4×C22⋊D79C2211yescharacteristic
62#19099179—21no—
63#19099152—21no—
64#19099146—21no—
65#19099112C2211yescharacteristic, complemented
66#19099110C2211yescharacteristic, complemented
67#19099098C2211yescharacteristic, complemented
68#19099098C2211yescharacteristic, complemented
69#19099097C2211yescharacteristic, complemented
70#19099095C2211yescharacteristic, complemented
71#19099093—21no—
72C2×#14579149C2211yescharacteristic, complemented
73#124×D79C2211yescharacteristic, complemented
74#19099074—21no—
75#19099072—21no—
76#19099035—21no—
77C4×#11929624C2211yescharacteristic
78C4×#11929623C2211yescharacteristic, complemented
79C2×C4×C22⋊D79—21no—
80C4×D4×D79C2211yescharacteristic, complemented
81#19098947C2211yescharacteristic, complemented
82#19098947C2211yescharacteristic, complemented
83#19098946C2211yescharacteristic, complemented
84#19098944C2211yescharacteristic, complemented
85#19098938C2211yescharacteristic
86#19098934C2211yescharacteristic, complemented
87#19098919C2211yescharacteristic, complemented
88#19098918C2211yescharacteristic, complemented
89#19098918C2211yescharacteristic, complemented
90#19098916C2211yescharacteristic, complemented
91#19098912C2211yescharacteristic, complemented
92#19098908C2211yescharacteristic, complemented
93#19098907C2211yescharacteristic, complemented
94#19098900C2211yescharacteristic, complemented
95#19098890C2211yescharacteristic, complemented
96#19098883C2211yescharacteristic, complemented
97#19098873C2211yescharacteristic, complemented
98#19098870C2211yescharacteristic, complemented
99#19098867C2211yescharacteristic, complemented
100#19098866C2211yescharacteristic, complemented
101#19098863C2211yescharacteristic, complemented
102#19098860C2211yescharacteristic, complemented
103#19098857C2211yescharacteristic, complemented
104#19098852C2211yescharacteristic, complemented
105#19098805C2211yescharacteristic, complemented
106#19098802C2211yescharacteristic, complemented
107#19098800C2211yescharacteristic, complemented
108#19098798C2211yescharacteristic
109#19098798C2211yescharacteristic, complemented
110#19098797C2211yescharacteristic
111#19098794C2211yescharacteristic, complemented
112#19098793C2211yescharacteristic, complemented
113#19098793C2211yescharacteristic, complemented
114#19098791C2211yescharacteristic, complemented
115#19098791C2211yescharacteristic, complemented
116#19098790C2211yescharacteristic, complemented
117#19098786C2211yescharacteristic, complemented
118#19098786C2211yescharacteristic, complemented
119#19098785C2211yescharacteristic, complemented
120#19098784C2211yescharacteristic, complemented
121#19098782C2211yescharacteristic, complemented
122#19098781C2211yescharacteristic, complemented
123#19098780C2211yescharacteristic
124#19098779C2211yescharacteristic, complemented
125#19098779C2211yescharacteristic, complemented
126#19098778C2211yescharacteristic
127#19098778C2211yescharacteristic
128#19098778C2211yescharacteristic, complemented
129#19098778C2211yescharacteristic, complemented
130#19098778C2211yescharacteristic, complemented
131#19098778C2211yescharacteristic, complemented
132#19098778C2211yescharacteristic, complemented
133#19098778C2211yescharacteristic, complemented
134#19098778C2211yescharacteristic, complemented
135#19098777C2211yescharacteristic, complemented
136#19098777C2211yescharacteristic, complemented
137#19098776C2211yescharacteristic, complemented
138#19098775C2211yescharacteristic, complemented
139#19098772C2211yescharacteristic, complemented
140#19098766C2211yescharacteristic, complemented
141#19098762C2211yescharacteristic, complemented
142#19098762C2211yescharacteristic, complemented
143#19098757C2211yescharacteristic
144#19098756C2211yescharacteristic
145#19098726C2211yescharacteristic, complemented
146#19098721C2211yescharacteristic, complemented
147#19098720C2211yescharacteristic, complemented
148#19098716C2211yescharacteristic, complemented
149#19098715C2211yescharacteristic, complemented
150#19098715C2211yescharacteristic, complemented
151#19098711C2211yescharacteristic, complemented
152#19098709C2211yescharacteristic
153#19098709C2211yescharacteristic, complemented
154#19098707C2211yescharacteristic, complemented
155#19098705C2211yescharacteristic, complemented
156#19098704C2211yescharacteristic, complemented
157#19098700C2211yescharacteristic, complemented
158#19098699C2211yescharacteristic
159#19098698C2211yescharacteristic
160#19098695C2211yescharacteristic
161C8×Dic158C2211yescharacteristic, complemented
162C8×Dic158C2211yescharacteristic, complemented
163#19098657C2211yescharacteristic, complemented
164#19098654C2211yescharacteristic, complemented
165#19098654C2211yescharacteristic, complemented
166#19098650C2211yescharacteristic, complemented
167#19098650C2211yescharacteristic, complemented
168#19098645C2211yescharacteristic, complemented
169#19098643C2211yescharacteristic
170#19098643C2211yescharacteristic, complemented
171C8×D316C2211yescharacteristic, complemented
172C8×D316C2211yescharacteristic, complemented
173(C22⋊D79)⋊C8C2211yescharacteristic
174(C22⋊D79)⋊C8C2211yescharacteristic
175(C22⋊D79)⋊C8C2211yescharacteristic, complemented
176(C22⋊D79)⋊C8C2211yescharacteristic, complemented
177#19098615C2211yescharacteristic, complemented
178#19098615C2211yescharacteristic, complemented
179C2×C4⋊(C79⋊C8)C2211yescharacteristic, complemented
180C4⋊C8×D79C2211yescharacteristic, complemented
181C4⋊C8×D79C2211yescharacteristic, complemented
182#19098558C2211yescharacteristic, complemented
183#19098556C2211yescharacteristic, complemented
184C2×#14579084C2211yescharacteristic, complemented
185#103×D79C2211yescharacteristic, complemented
186C2×#14579081C2211yescharacteristic, complemented
187#102×D79C2211yescharacteristic, complemented
188#529×C79C2211yescharacteristic, complemented
189C2×C4×D4×C79C2211yescharacteristic, complemented
190#484×C79C2211yescharacteristic, complemented
191#481×C79C2211yescharacteristic, complemented
192#478×C79C2211yescharacteristic, complemented
193#478×C79C2211yescharacteristic, complemented
194#463×C79C2211yescharacteristic, complemented
195#463×C79C2211yescharacteristic, complemented
196#450×C79C2211yescharacteristic, complemented
197#447×C79C2211yescharacteristic
198C4×SD16×C79C2211yescharacteristic, complemented
199C4×SD16×C79C2211yescharacteristic, complemented
200C4×D8×C79C2211yescharacteristic, complemented
201C4×D8×C79C2211yescharacteristic, complemented
202#431×C79C2211yescharacteristic, complemented
203C2×#11929625C2311yescharacteristic
204C2×#11929624—21no—
205C2×#11929624D411yescharacteristic
206C2×#11929623C2311yescharacteristic
207C2×#11929623C2311yescharacteristic
208C22×Dic158C2311yescharacteristic
209C2×Q8×D79C2311yescharacteristic
210C22×D316C2311yescharacteristic
211C22×C22⋊D79—21no—
212C2×D4×D79—21no—
213C2×D4×D79C2311yescharacteristic
214C2×D4×D79C2311yescharacteristic
215C22×C4×D79—21no—
216#14579182—42no—
217#14579180—42no—
218C2×Dic316C2311yescharacteristic
219C2×Dic316C2311yescharacteristic
220C2×#11929614C2311yescharacteristic
221C2×#11929613C2311yescharacteristic
222C2×#11929613C2311yescharacteristic
223C2×#11929613C2311yescharacteristic
224C2×#11929613C2311yescharacteristic
225C2×#11929612—42no—
226C2×#11929612C2311yescharacteristic
227C2×#11929612C2311yescharacteristic
228C2×#11929612C2311yescharacteristic
229C2×#11929612C2311yescharacteristic
230C2×#11929612C2311yescharacteristic
231C2×#11929611C2311yescharacteristic
232SD16×D79—42no—
233C2×D632C2311yescharacteristic
234C2×D632C2311yescharacteristic
235C2×#11929609—42no—
236C2×#11929609C2311yescharacteristic
237C2×#11929609C2311yescharacteristic
238C2×#11929609C2311yescharacteristic
239C2×#11929609C2311yescharacteristic
240C2×#11929609C2311yescharacteristic
241D8×D79—42no—
242C22×C79⋊C8C2311yescharacteristic
243C22×C79⋊C8C2311yescharacteristic
244C2×C8×D79C2311yescharacteristic
245C2×C8×D79C2311yescharacteristic
246C2×C8×D79C2311yescharacteristic
247C2×C8×D79C2311yescharacteristic
248#14579160—21no—
249#14579160C2311yescharacteristic
250#14579159C2311yescharacteristic
251#14579157C2311yescharacteristic
252#14579157C2311yescharacteristic
253#14579156—21no—
254#14579156—21no—
255#14579156—21no—
256#14579156—21no—
257#14579155—21no—
258#14579155—21no—
259#14579154—21no—
260#14579154—21no—
261#14579153C2311yescharacteristic
262#14579152C2311yescharacteristic
263#14579151—21no—
264#14579150C2311yescharacteristic
265#14579149—21no—
266#14579149—21no—
267#14579149—21no—
268#14579149C2311yescharacteristic
269#14579149C2311yescharacteristic
270#14579149C2311yescharacteristic
271#14579149C2311yescharacteristic
272#14579149C2311yescharacteristic
273#14579148C2311yescharacteristic
274#14579148C2311yescharacteristic
275#14579147—21no—
276#14579147—21no—
277#14579147—21no—
278#14579147—21no—
279#14579147—21no—
280#14579147—21no—
281#14579146—21no—
282#14579146—21no—
283#14579146—21no—
284#14579146—21no—
285#14579145—21no—
286#14579145—21no—
287#14579144—21no—
288#14579144—21no—
289#14579144—21no—
290#14579144—21no—
291#14579143—21no—
292#14579143—21no—
293#14579143—21no—
294#14579142—21no—
295#14579141—21no—
296#14579141C2311yescharacteristic
297#14579141C2311yescharacteristic
298#14579141C2311yescharacteristic
299#14579140—21no—
300#14579140—21no—
301#14579140C2311yescharacteristic
302#14579139—21no—
303#14579139—21no—
304#14579139—21no—
305#14579138—21no—
306#14579138—21no—
307#14579138—21no—
308#14579138—21no—
309#14579136—21no—
310#14579136—21no—
311#14579136C2311yescharacteristic
312#14579136C2311yescharacteristic
313#14579136C2311yescharacteristic
314#14579135—21no—
315#14579135—21no—
316#14579135—21no—
317#14579135C2311yescharacteristic
318#14579134—21no—
319#14579134—21no—
320#14579134—21no—
321#14579134—21no—
322#14579134—21no—
323#14579133—21no—
324#14579133—21no—
325#14579133—21no—
326#14579132C2311yescharacteristic
327#14579132C2311yescharacteristic
328#14579131—21no—
329#14579131—21no—
330#14579131—21no—
331#14579131—21no—
332#14579130—21no—
333#14579130—21no—
334#14579129—21no—
335#14579129—21no—
336C4×Dic158D411yescharacteristic
337C4×Dic158C2311yescharacteristic
338C4×Dic158C2311yescharacteristic
339#14579126C2311yescharacteristic
340#14579126C2311yescharacteristic
341#14579126C2311yescharacteristic
342C4×D316—21no—
343C4×D316D411yescharacteristic
344C4×D316C2311yescharacteristic
345C4×D316C2311yescharacteristic
346D4×Dic79—21no—
347D4×Dic79C2311yescharacteristic
348D4×Dic79C2311yescharacteristic
349#14579123—21no—
350#14579123—21no—
351#14579123C2311yescharacteristic
352#14579123C2311yescharacteristic
353#14579123C2311yescharacteristic
354C4×C22⋊D79—21no—
355C4×C22⋊D79—21no—
356C4×C22⋊D79—21no—
357C4×C22⋊D79—21no—
358C4×C22⋊D79—21no—
359C4×C22⋊D79—21no—
360C4×C22⋊D79—21no—
361C4×C22⋊D79—21no—
362C4×C22⋊D79—21no—
363C4×C22⋊D79—21no—
364C4×C22⋊D79D411yescharacteristic
365C4×C22⋊D79D411yescharacteristic
366C4×C22⋊D79C2311yescharacteristic
367C4×C22⋊D79C2311yescharacteristic
368(C22⋊D79)⋊C4—21no—
369(C22⋊D79)⋊C4—21no—
370(C22⋊D79)⋊C4—21no—
371(C22⋊D79)⋊C4—21no—
372(C22⋊D79)⋊C4—21no—
373#14579120—21no—
374#14579120D411yescharacteristic
375#14579119—21no—
376#14579119—21no—
377#14579119C2311yescharacteristic
378#14579118—21no—
379#14579118—21no—
380#14579118D411yescharacteristic
381#14579118D411yescharacteristic
382#14579117—21no—
383C2×Dic79⋊C4—21no—
384C4⋊C4×D79C2311yescharacteristic
385C2×C22⋊Dic79—21no—
386C2×(C2×D79)⋊C4—21no—
387C2×(C2×D79)⋊C4—21no—
388C2×(C2×D79)⋊C4—21no—
389C2×(C2×D79)⋊C4—21no—
390C22⋊C4×D79—21no—
391C22⋊C4×D79—21no—
392C22⋊C4×D79—21no—
393C22⋊C4×D79—21no—
394C2×C4×Dic79—21no—
395C42×D79C2311yescharacteristic
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#14579086C2311yescharacteristic
412#14579086C2311yescharacteristic
413#14579085C2311yescharacteristic
414#14579085C2311yescharacteristic
415#14579084C2311yescharacteristic
416#14579084C2311yescharacteristic
417#14579084C2311yescharacteristic
418#14579084C2311yescharacteristic
419#14579084C2311yescharacteristic
420#14579084C2311yescharacteristic
421#14579083C2311yescharacteristic
422#14579083C2311yescharacteristic
423#14579083C2311yescharacteristic
424#14579083C2311yescharacteristic
425#14579082C2311yescharacteristic
426#14579082C2311yescharacteristic
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
437C8×Dic79C2311yescharacteristic
438C8×Dic79C2311yescharacteristic
439C8×Dic79C2311yescharacteristic
440C8×Dic79C2311yescharacteristic
441C22×D4×C79C2311yescharacteristic
442C23×C4×C79—21no—
443C2×SD16×C79C2311yescharacteristic
444C2×SD16×C79C2311yescharacteristic
445C2×D8×C79C2311yescharacteristic
446C2×D8×C79C2311yescharacteristic
447#126×C79—21no—
448#125×C79C2311yescharacteristic
449#124×C79C2311yescharacteristic
450#123×C79—21no—
451C22⋊Q8×C79C2311yescharacteristic
452#121×C79C2311yescharacteristic
453C4×Q8×C79C2311yescharacteristic
454C4×D4×C79—21no—
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×C79—21no—
463C2×C4⋊C4×C79C2311yescharacteristic
464C2×C22⋊C4×C79—21no—
465C2×C42×C79C2311yescharacteristic
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
482C4×C8×C79C2311yescharacteristic
483C4×C8×C79C2311yescharacteristic
484C23×D79—21no—
485C23×D79—21no—
486C23×D79—21no—
487#11929625—41no—
488#11929625—41no—
489#11929624—24no—
490#11929624—82no—
491#11929623—22no—
492#11929623—41no—
493#11929623—41no—
494#11929623—41no—
495C2×Dic158—21no—
496C2×Dic158—21no—
497C2×Dic158—21no—
498C2×Dic158—41no—
499C2×Dic158—41no—
500C2×Dic158C2×D411yescharacteristic
501C2×Dic158C2411yescharacteristic
502C2×Dic158C2411yescharacteristic
503C2×Dic158C2411yescharacteristic
504Q8×D79—41no—
505Q8×D79—41no—
506C2×D316—21no—
507C2×D316—21no—
508C2×D316—21no—
509C2×D316—21no—
510C2×D316—21no—
511C2×D316—41no—
512C2×D316—41no—
513C2×D316C2×D411yescharacteristic
514C2×D316C2411yescharacteristic
515C2×D316C2411yescharacteristic
516C2×D316C2411yescharacteristic
517C2×C22⋊D79—21no—
518C2×C22⋊D79—21no—
519C2×C22⋊D79—21no—
520C2×C22⋊D79—21no—
521C2×C22⋊D79—21no—
522C2×C22⋊D79—21no—
523C2×C22⋊D79—21no—
524C2×C22⋊D79—21no—
525C2×C22⋊D79—21no—
526C2×C22⋊D79—21no—
527C2×C22⋊D79—21no—
528C2×C22⋊D79—44no—
529C2×C22⋊D79C2×D411yescharacteristic
530C2×C22⋊D79C2×D411yescharacteristic
531D4×D79—22no—
532D4×D79—41no—
533D4×D79—44no—
534D4×D79—41no—
535D4×D79—41no—
536C22×Dic79—21no—
537C22×Dic79—21no—
538C22×Dic79—21no—
539C22×Dic79—21no—
540C22×Dic79—21no—
541C2×C4×D79—21no—
542C2×C4×D79—21no—
543C2×C4×D79—21no—
544C2×C4×D79—21no—
545C2×C4×D79—21no—
546C2×C4×D79—21no—
547C2×C4×D79—21no—
548C2×C4×D79—82no—
549C2×C4×D79C2×D411yescharacteristic
550C2×C4×D79C2×D411yescharacteristic
551C2×C4×D79C2×D411yescharacteristic
552C2×C4×D79C2×D411yescharacteristic
553C2×C4×D79C2411yescharacteristic
554C2×C4×D79C2411yescharacteristic
555Dic316—41no—
556Dic316—41no—
557#11929614—41no—
558#11929613—41no—
559#11929613—41no—
560#11929613—41no—
561#11929613—41no—
562#11929612—22no—
563#11929612—22no—
564#11929612—41no—
565#11929612—41no—
566#11929612—41no—
567#11929611—41no—
568D632—41no—
569D632—41no—
570#11929609—22no—
571#11929609—22no—
572#11929609—41no—
573#11929609—41no—
574#11929609—41no—
575C2×C79⋊C8—41no—
576C2×C79⋊C8—41no—
577C2×C79⋊C8C2411yescharacteristic
578C2×C79⋊C8C2411yescharacteristic
579C2×C79⋊C8C2411yescharacteristic
580C2×C79⋊C8C2411yescharacteristic
581C8×D79—41no—
582C8×D79—41no—
583C8×D79—41no—
584C8×D79—41no—
585C4⋊Dic79—21no—
586C4⋊Dic79—21no—
587C4⋊Dic79—21no—
588C4⋊Dic79—21no—
589C4⋊Dic79C2×D411yescharacteristic
590C4⋊Dic79C2×D411yescharacteristic
591C4⋊Dic79C2411yescharacteristic
592C4⋊Dic79C2411yescharacteristic
593Dic79⋊C4—21no—
594Dic79⋊C4—21no—
595Dic79⋊C4—21no—
596Dic79⋊C4—21no—
597Dic79⋊C4—21no—
598Dic79⋊C4—21no—
599Dic79⋊C4—21no—
600Dic79⋊C4—21no—
601Dic79⋊C4—21no—
602Dic79⋊C4—21no—
603Dic79⋊C4—21no—
604Dic79⋊C4—21no—
605Dic79⋊C4C2×D411yescharacteristic
606Dic79⋊C4C2×D411yescharacteristic
607Dic79⋊C4C2×D411yescharacteristic
608Dic79⋊C4C2×D411yescharacteristic
609C22⋊Dic79—21no—
610C22⋊Dic79—21no—
611C22⋊Dic79—21no—
612C22⋊Dic79—21no—
613C22⋊Dic79—21no—
614C22⋊Dic79—21no—
615C22⋊Dic79—21no—
616C22⋊Dic79—21no—
617C22⋊Dic79—21no—
618C22⋊Dic79C2×D411yescharacteristic
619C22⋊Dic79C2×D411yescharacteristic
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)⋊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)⋊C4C2×D411yescharacteristic
645(C2×D79)⋊C4C2×D411yescharacteristic
646(C2×D79)⋊C4C2×D411yescharacteristic
647(C2×D79)⋊C4C2×D411yescharacteristic
648C4×Dic79—21no—
649C4×Dic79—21no—
650C4×Dic79—21no—
651C4×Dic79—21no—
652C4×Dic79—21no—
653C4×Dic79C2×D411yescharacteristic
654C4×Dic79C2×D411yescharacteristic
655C4×Dic79C2×D411yescharacteristic
656C4×Dic79C2×D411yescharacteristic
657C4×Dic79C2411yescharacteristic
658C4×Dic79C2411yescharacteristic
659C24×C79—21no—
660C2×Q8×C79C2411yescharacteristic
661C2×D4×C79—22no—
662C2×D4×C79—21no—
663C2×D4×C79—21no—
664C2×D4×C79—41no—
665C2×D4×C79C2411yescharacteristic
666C2×D4×C79C2411yescharacteristic
667C2×D4×C79C2411yescharacteristic
668C22×C4×C79—21no—
669C22×C4×C79—21no—
670C22×C4×C79—21no—
671C22×C4×C79—21no—
672C22×C4×C79—21no—
673C22×C4×C79—21no—
674C22×C4×C79—82no—
675C22×C4×C79C2×D411yescharacteristic
676C22×C4×C79C2×D411yescharacteristic
677C22×C4×C79C2411yescharacteristic
678SD16×C79—22no—
679SD16×C79—41no—
680D8×C79—22no—
681D8×C79—41no—
682C2×C8×C79C2411yescharacteristic
683C2×C8×C79C2411yescharacteristic
684C2×C8×C79C2411yescharacteristic
685C2×C8×C79C2411yescharacteristic
686C4⋊C4×C79—21no—
687C4⋊C4×C79—21no—
688C4⋊C4×C79—21no—
689C4⋊C4×C79—21no—
690C4⋊C4×C79—21no—
691C4⋊C4×C79C2411yescharacteristic
692C4⋊C4×C79C2411yescharacteristic
693C4⋊C4×C79C2411yescharacteristic
694C4⋊C4×C79C2411yescharacteristic
695C22⋊C4×C79—21no—
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—
704C42×C79—21no—
705C42×C79C2×D411yescharacteristic
706C42×C79C2×D411yescharacteristic
707C42×C79C2411yescharacteristic
708C42×C79C2411yescharacteristic
709C23×C79—21no—
710C23×C79—21no—
711C23×C79—21no—
712C23×C79—42no—
713C23×C79—42no—
714C23×C79—81no—
715C23×C79C22×D411yescharacteristic
716C22×D79—21no—
717C22×D79—21no—
718C22×D79—21no—
719C22×D79—42no—
720C22×D79—42no—
721C22×D79—42no—
722C22×D79—42no—
723C22×D79—81no—
724C22×D79—81no—
725C22×D79—81no—
726C22×D79—81no—
727C22×D79—81no—
728C22×D79C22×D411yescharacteristic
729C22×D79C22×D411yescharacteristic
730Q8×C79—21no—
731Q8×C79—21no—
732D4×C79—21no—
733D4×C79—21no—
734D4×C79—21no—
735D4×C79—21no—
736D4×C79—21no—
737D4×C79—42no—
738D4×C79—42no—
739D4×C79H(5,𝔽2)12yes—
740C2×C4×C79—22no—
741C2×C4×C79—21no—
742C2×C4×C79—21no—
743C2×C4×C79—21no—
744C2×C4×C79—21no—
745C2×C4×C79—21no—
746C2×C4×C79—21no—
747C2×C4×C79—21no—
748C2×C4×C79—41no—
749C2×C4×C79—42no—
750C2×C4×C79—42no—
751C2×C4×C79—81no—
752C2×C4×C79—81no—
753C2×C4×C79—81no—
754C2×C4×C79—81no—
755C2×C4×C79C22×D411yescharacteristic
756C2×C4×C79C22×D411yescharacteristic
757C2×C4×C79C22×D411yescharacteristic
758C2×C4×C79C22×D411yescharacteristic
759C2×C4×C79C22×D411yescharacteristic
760C2×C4×C79C2511yescharacteristic
761C22⋊D79—22no—
762C22⋊D79—42no—
763C22⋊D79—42no—
764C22⋊D79—42no—
765C22⋊D79—42no—
766C22⋊D79—42no—
767C22⋊D79—42no—
768C22⋊D79—81no—
769C22⋊D79—81no—
770C22⋊D79—81no—
771C22⋊D79—81no—
772C22⋊D79—81no—
773C22⋊D79#13514yescomplemented
774C2×Dic79—21no—
775C2×Dic79—21no—
776C2×Dic79—21no—
777C2×Dic79—21no—
778C2×Dic79—21no—
779C2×Dic79—42no—
780C2×Dic79—42no—
781C2×Dic79—81no—
782C2×Dic79—81no—
783C2×Dic79—81no—
784C2×Dic79C22×D411yescharacteristic
785C2×Dic79C22×D411yescharacteristic
786C2×Dic79C22×D411yescharacteristic
787C2×Dic79C22×D411yescharacteristic
788C2×Dic79C22×D411yescharacteristic
789C2×Dic79C22×D411yescharacteristic
790D316—22no—
791D316—21no—
792D316—21no—
793D316—21no—
794D316—21no—
795D316—21no—
796D316—21no—
797D316—42no—
798D316—81no—
799D316—81no—
800D316—81no—
801D316—81no—
802C4×D79—22no—
803C4×D79—21no—
804C4×D79—21no—
805C4×D79—21no—
806C4×D79—21no—
807C4×D79—22no—
808C4×D79—41no—
809C4×D79—41no—
810C4×D79—42no—
811C4×D79—42no—
812C4×D79—81no—
813C4×D79—81no—
814C4×D79—81no—
815C4×D79—81no—
816C4×D79—81no—
817Dic158—22no—
818Dic158—21no—
819Dic158—21no—
820Dic158—21no—
821Dic158—21no—
822Dic158—21no—
823Dic158—21no—
824Dic158—81no—
825Dic158—81no—
826Dic158—81no—
827C8×C79—21no—
828C8×C79—21no—
829C8×C79—21no—
830C8×C79—21no—
831C79⋊C8—21no—
832C79⋊C8—21no—
833C79⋊C8—21no—
834C79⋊C8—21no—
835C22×C79—21no—
836C22×C79—21no—
837C22×C79—22no—
838C22×C79—41no—
839C22×C79—41no—
840C22×C79—41no—
841C22×C79—41no—
842C22×C79—41no—
843C22×C79—41no—
844C22×C79—41no—
845C22×C79—41no—
846C22×C79—84no—
847C22×C79C2×#13512yes—
848C22×C79C23×D411yescharacteristic
849C2×D79—21no—
850C2×D79—21no—
851C2×D79—21no—
852C2×D79—21no—
853C2×D79—21no—
854C2×D79—41no—
855C2×D79—41no—
856C2×D79—41no—
857C2×D79—41no—
858C2×D79—41no—
859C2×D79—41no—
860C2×D79—41no—
861C2×D79—41no—
862C2×D79—41no—
863C2×D79—84no—
864C2×D79—162no—
865C2×D79—162no—
866C2×D79C2×#13512yes—
867C4×C79—21no—
868C4×C79—21no—
869C4×C79—21no—
870C4×C79—21no—
871C4×C79—21no—
872C4×C79—41no—
873C4×C79—41no—
874C4×C79—41no—
875C4×C79—41no—
876C4×C79—41no—
877C4×C79C2×H(5,𝔽2)11yescharacteristic
878C4×C79#58511yescharacteristic
879Dic79—21no—
880Dic79—21no—
881Dic79—21no—
882Dic79—21no—
883Dic79—21no—
884Dic79—41no—
885Dic79—41no—
886Dic79—41no—
887Dic79—41no—
888Dic79—41no—
889Dic79C2×#13512yes—
890#61955—791nomaximal, Sylow
891C2×C79—22no—
892C2×C79—42no—
893C2×C79—81no—
894C2×C79—81no—
895C2×C79#348811yescharacteristic
896C2×C79C22×#13511yescharacteristic
897C2×C79#358511yescharacteristic
898D79—22no—
899D79—41no—
900D79—81no—
901D79—81no—
902D79—81no—
903#3514—791no—
904#3481—791no—
905#3396—791no—
906#3394—791no—
907#3361—791no—
908#3360—791no—
909#3301—791no—
910#3301—791no—
911#3299—791no—
912#3297—791no—
913#3297—791no—
914#3295—791no—
915#3282—791no—
916#3282—791no—
917D4×SD16—791no—
918#3280—791no—
919#3280—791no—
920D4×D8—791no—
921#3250—791no—
922#3250—791no—
923#3247—791no—
924#3211—791no—
925#3211—791no—
926#3207—791no—
927#3105—791no—
928#3105D7911yescharacteristic, complemented
929#3102—791no—
930#3035—791no—
931C2×#463—791no—
932C2×#463—791no—
933#2988—791no—
934C79#6195511yescharacteristic, complemented, Sylow
935C2×#135—791no—
936C2×#135—791no—
937C22×SD16—791no—
938C22×SD16—791no—
939C22×D8—791no—
940C22×D8—791no—
941#559—791no—
942#559—791no—
943#556—791no—
944#555—1581no—
945#554—791no—
946#554—791no—
947#553—791no—
948#553—791no—
949#553—1581no—
950#551—1581no—
951#551—1581no—
952#551—1581no—
953#551—1581no—
954D4×Q8—791no—
955#548—791no—
956#548—791no—
957#546—791no—
958#546—791no—
959#546—791no—
960#546—791no—
961#546—1581no—
962#546—1581no—
963D42—791no—
964D42—791no—
965#542—1581no—
966#538—1581no—
967#538—1581no—
968#532—791no—
969#532—791no—
970#529—791no—
971#529—791no—
972#529—791no—
973#529—791no—
974#529—1581no—
975#529C2×D7911yescharacteristic, complemented
976C2×#124—791no—
977C2×#124—791no—
978#525—1581no—
979#525—1581no—
980#518—1581no—
981C4×#41—791no—
982C4×#41—791no—
983C2×C4×D4—791no—
984C2×C4×D4—1581no—
985C2×C4×D4C2×D7911yescharacteristic, complemented
986#495—791no—
987#495—791no—
988#495—791no—
989#495—791no—
990#493—791no—
991#492—791no—
992#488—791no—
993#488—791no—
994#488—791no—
995#488—791no—
996#487—791no—
997#486—791no—
998#485—791no—
999#484—791no—
1000#484C2×D7911yescharacteristic, complemented
1001#482—791no—
1002#481—791no—
1003#481C2×D7911yescharacteristic, complemented
1004#479—791no—
1005#479—791no—
1006#479—791no—
1007#478—791no—
1008#478—791no—
1009#478—791no—
1010#478C2×D7911yescharacteristic, complemented
1011#478C2×D7911yescharacteristic, complemented
1012#477—791no—
1013#476—791no—
1014#467—791no—
1015#467—791no—
1016#466—791no—
1017#466—791no—
1018#466—791no—
1019#466—791no—
1020#465—791no—
1021#465—791no—
1022#465—791no—
1023#465—791no—
1024#465—791no—
1025#465—791no—
1026#464—791no—
1027#464—791no—
1028#464—791no—
1029#464—791no—
1030#464—791no—
1031#463—791no—
1032#463—791no—
1033#463—791no—
1034#463—791no—
1035#463—791no—
1036#463—791no—
1037#463—791no—
1038#463—791no—
1039#463—791no—
1040#463—791no—
1041#463—791no—
1042#463—791no—
1043#463—791no—
1044#463—791no—
1045#463—791no—
1046#463—791no—
1047#463—791no—
1048#463C2×D7911yescharacteristic, complemented
1049#463C2×D7911yescharacteristic, complemented
1050#462—791no—
1051#461—791no—
1052#460—791no—
1053#460—791no—
1054#459—791no—
1055#459—791no—
1056#452—791no—
1057#451—791no—
1058#451—791no—
1059#450—791no—
1060#450—791no—
1061#450—791no—
1062#450C2×D7911yescharacteristic, complemented
1063#449—791no—
1064#449—791no—
1065#449—791no—
1066#449—791no—
1067#449—791no—
1068#448—791no—
1069#448—791no—
1070#447—791no—
1071#447—791no—
1072#447—791no—
1073#447C2×D7911yescharacteristic
1074C8×Q8—791no—
1075C8×Q8—791no—
1076C4×Q16—791no—
1077C4×SD16—791no—
1078C4×SD16—791no—
1079C4×SD16—791no—
1080C4×SD16—791no—
1081C4×SD16C2×D7911yescharacteristic, complemented
1082C4×SD16C2×D7911yescharacteristic, complemented
1083C4×D8—791no—
1084C4×D8—791no—
1085C4×D8—791no—
1086C4×D8C2×D7911yescharacteristic, complemented
1087C4×D8C2×D7911yescharacteristic, complemented
1088C8×D4—791no—
1089C8×D4—791no—
1090C8×D4—791no—
1091C8×D4—791no—
1092C8×D4—791no—
1093C8×D4—791no—
1094#431—791no—
1095#431—791no—
1096#431C2×D7911yescharacteristic, complemented
1097C2×C4⋊C8—791no—
1098C2×C4⋊C8—791no—
1099C2×C4⋊C8—791no—
1100#416—791no—
1101#416—791no—
1102C2×#103—791no—
1103C2×#103—791no—
1104C2×#102—791no—
1105C2×#102—791no—
1106C2×#41—791no—
1107C2×#41—791no—
1108C2×#41—791no—
1109C2×#41—791no—
1110C2×#41—1581no—
1111C22×Q8—791no—
1112C22×Q8—791no—
1113C22×D4—791no—
1114C22×D4—791no—
1115C22×D4—791no—
1116C22×D4—1581no—
1117C22×D4—1581no—
1118C22×D4C22×D7911yescharacteristic
1119C23×C4—21no—
1120C23×C4—1581no—
1121#135—3162no—
1122#135—3162no—
1123C2×Q16—791no—
1124C2×Q16—791no—
1125C2×Q16—791no—
1126C2×SD16—3162no—
1127C2×SD16—3162no—
1128C2×SD16—791no—
1129C2×SD16—791no—
1130C2×SD16—791no—
1131C2×SD16—791no—
1132C2×SD16—791no—
1133C2×SD16—791no—
1134C2×SD16—791no—
1135C2×SD16—791no—
1136C2×SD16—791no—
1137C2×SD16—791no—
1138C2×SD16C22×D7911yescharacteristic
1139C2×SD16C22×D7911yescharacteristic
1140C2×D8—3162no—
1141C2×D8—3162no—
1142C2×D8—791no—
1143C2×D8—791no—
1144C2×D8—791no—
1145C2×D8—791no—
1146C2×D8—791no—
1147C2×D8—791no—
1148C2×D8—791no—
1149C2×D8C22×D7911yescharacteristic
1150C2×D8C22×D7911yescharacteristic
1151C22×C8—791no—
1152C22×C8—791no—
1153C22×C8—791no—
1154C22×C8—791no—
1155C22×C8—791no—
1156C22×C8—791no—
1157C4⋊Q8—791no—
1158C4⋊Q8—791no—
1159C4⋊Q8—1581no—
1160#127—791no—
1161#127—791no—
1162#126—21no—
1163#126—1581no—
1164#126—1581no—
1165#126—1581no—
1166#126—1581no—
1167#126—1581no—
1168#126—1581no—
1169#126—1581no—
1170#126—1581no—
1171#125—791no—
1172#125—791no—
1173#125—1581no—
1174#125C22×D7911yescharacteristic
1175#124—791no—
1176#124—791no—
1177#124—791no—
1178#124—791no—
1179#124—791no—
1180#124—791no—
1181#124—791no—
1182#124—791no—
1183#124—1581no—
1184#124—1581no—
1185#124—1581no—
1186#124—1581no—
1187#124—1581no—
1188#124—1581no—
1189#124—1581no—
1190#124—1581no—
1191#124—1581no—
1192#124C22×D7911yescharacteristic
1193#123—21no—
1194#123—1581no—
1195#123—1581no—
1196#123—1581no—
1197#123—1581no—
1198#123—1581no—
1199#123—1581no—
1200#123—1581no—
1201#123—1581no—
1202#123—1581no—
1203#123—1581no—
1204#123—1581no—
1205#123—1581no—
1206#123—1581no—
1207#123—1581no—
1208C22⋊Q8—791no—
1209C22⋊Q8—791no—
1210C22⋊Q8—791no—
1211C22⋊Q8—791no—
1212C22⋊Q8—1581no—
1213C22⋊Q8—1581no—
1214C22⋊Q8—1581no—
1215C22⋊Q8—1581no—
1216C22⋊Q8—1581no—
1217C22⋊Q8—1581no—
1218C22⋊Q8—1581no—
1219C22⋊Q8—1581no—
1220C22⋊Q8—1581no—
1221C22⋊Q8—1581no—
1222C22⋊Q8C22×D7911yescharacteristic
1223#121—791no—
1224#121—791no—
1225#121—791no—
1226#121—791no—
1227#121—791no—
1228#121—791no—
1229#121—1581no—
1230#121—1581no—
1231#121—1581no—
1232#121—1581no—
1233#121—1581no—
1234#121—1581no—
1235#121—1581no—
1236#121—1581no—
1237#121—1581no—
1238#121—1581no—
1239#121—1581no—
1240#121—1581no—
1241#121—1581no—
1242#121C22×D7911yescharacteristic
1243#120—1581no—
1244#120—1581no—
1245#120—1581no—
1246#120—1581no—
1247#120—1581no—
1248#120—1581no—
1249#120—1581no—
1250#120—1581no—
1251C4×Q8—791no—
1252C4×Q8—791no—
1253C4×Q8—791no—
1254C4×Q8—791no—
1255C4×Q8—791no—
1256C4×Q8—791no—
1257C4×Q8C22×D7911yescharacteristic
1258C4×D4—21no—
1259C4×D4—21no—
1260C4×D4—21no—
1261C4×D4—791no—
1262C4×D4—791no—
1263C4×D4—791no—
1264C4×D4—791no—
1265C4×D4—791no—
1266C4×D4—791no—
1267C4×D4—791no—
1268C4×D4—791no—
1269C4×D4—791no—
1270C4×D4—791no—
1271C4×D4—791no—
1272C4×D4—791no—
1273C4×D4—1581no—
1274C4×D4—1581no—
1275C4×D4—1581no—
1276C4×D4—1581no—
1277C4×D4—1581no—
1278C4×D4—1581no—
1279C4×D4—1581no—
1280C4×D4—1581no—
1281C4×D4—1581no—
1282C4×D4—1581no—
1283C4×D4—1581no—
1284C4×D4—1581no—
1285C4×D4—1581no—
1286C4×D4—1581no—
1287C4×D4—1581no—
1288C4×D4—1581no—
1289C4×D4—1581no—
1290C4×D4—1581no—
1291C4×D4—1581no—
1292C4×D4C22×D7911yescharacteristic
1293C4×D4C22×D7911yescharacteristic
1294C4×D4C22×D7911yescharacteristic
1295C4×D4C22×D7911yescharacteristic
1296C4×D4C22×D7911yescharacteristic
1297#117—21no—
1298#117—791no—
1299#117—791no—
1300#117—791no—
1301#117—791no—
1302#117—1581no—
1303#117—1581no—
1304#117—1581no—
1305#117—1581no—
1306#117—1581no—
1307#117—1581no—
1308C2×C4⋊C4—791no—
1309C2×C4⋊C4—1581no—
1310C2×C4⋊C4C22×D7911yescharacteristic
1311C2×C22⋊C4—21no—
1312C2×C22⋊C4—1581no—
1313C2×C22⋊C4—1581no—
1314C2×C22⋊C4—1581no—
1315C2×C22⋊C4—1581no—
1316C2×C22⋊C4—1581no—
1317C2×C22⋊C4—1581no—
1318C2×C22⋊C4—1581no—
1319C2×C22⋊C4—1581no—
1320C2×C22⋊C4—1581no—
1321C2×C42—791no—
1322C2×C42—791no—
1323C2×C42—1581no—
1324C2×C42C22×D7911yescharacteristic
1325#107—791no—
1326#107—791no—
1327#107C22×D7911yescharacteristic
1328#107C22×D7911yescharacteristic
1329#106—791no—
1330#106—791no—
1331#106C22×D7911yescharacteristic
1332#106C22×D7911yescharacteristic
1333C4⋊C8—791no—
1334C4⋊C8—791no—
1335C4⋊C8—791no—
1336C4⋊C8—791no—
1337C4⋊C8—791no—
1338C4⋊C8—791no—
1339C4⋊C8—791no—
1340C4⋊C8—791no—
1341C4⋊C8C22×D7911yescharacteristic
1342C4⋊C8C22×D7911yescharacteristic
1343#103—791no—
1344#103—791no—
1345#103—791no—
1346#103—791no—
1347#103—791no—
1348#103—791no—
1349#103—791no—
1350#103—791no—
1351#103—791no—
1352#103—791no—
1353#103—791no—
1354#103—791no—
1355#103C22×D7911yescharacteristic
1356#103C22×D7911yescharacteristic
1357#102—791no—
1358#102—791no—
1359#102—791no—
1360#102—791no—
1361#102—791no—
1362#102—791no—
1363#102—791no—
1364#102—791no—
1365#102—791no—
1366#102—791no—
1367#102—791no—
1368#102—791no—
1369#102C22×D7911yescharacteristic
1370#102C22×D7911yescharacteristic
1371#102C22×D7911yescharacteristic
1372#102C22×D7911yescharacteristic
1373#102C22×D7911yescharacteristic
1374#102C22×D7911yescharacteristic
1375C22⋊C8—791no—
1376C22⋊C8—791no—
1377C22⋊C8—791no—
1378C22⋊C8—791no—
1379C22⋊C8C22×D7911yescharacteristic
1380C22⋊C8C22×D7911yescharacteristic
1381C4×C8—791no—
1382C4×C8—791no—
1383C4×C8—791no—
1384C4×C8—791no—
1385C4×C8C22×D7911yescharacteristic
1386C4×C8C22×D7911yescharacteristic
1387C24—21no—
1388C24—1581no—
1389C24—1581no—
1390C24—1581no—
1391#41—3161no—
1392#41—3161no—
1393#41—3161no—
1394#41—3161no—
1395#41—3161no—
1396#41—6322no—
1397#41—1584no—
1398#41—1582no—
1399C2×Q8—3161no—
1400C2×Q8—3161no—
1401C2×Q8—3161no—
1402C2×Q8—3161no—
1403C2×Q8—791no—
1404C2×Q8—791no—
1405C2×Q8—791no—
1406C2×Q8—791no—
1407C2×Q8—1581no—
1408C2×Q8—1581no—
1409C2×Q8—1581no—
1410C2×Q8C23×D7911yescharacteristic
1411C2×D4—22no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—41no—
1415C2×D4—3161no—
1416C2×D4—3161no—
1417C2×D4—3164no—
1418C2×D4—3164no—
1419C2×D4—3161no—
1420C2×D4—3161no—
1421C2×D4—3161no—
1422C2×D4—791no—
1423C2×D4—791no—
1424C2×D4—791no—
1425C2×D4—791no—
1426C2×D4—791no—
1427C2×D4—791no—
1428C2×D4—1581no—
1429C2×D4—1581no—
1430C2×D4—1581no—
1431C2×D4—1581no—
1432C2×D4—1581no—
1433C2×D4—1581no—
1434C2×D4—1581no—
1435C2×D4—1581no—
1436C2×D4—1581no—
1437C2×D4—1581no—
1438C2×D4—1581no—
1439C2×D4—1581no—
1440C2×D4—1581no—
1441C2×D4—1582no—
1442C2×D4—1581no—
1443C2×D4—1581no—
1444C2×D4—1581no—
1445C2×D4C23×D7911yescharacteristic
1446C2×D4C23×D7911yescharacteristic
1447C2×D4C23×D7911yescharacteristic
1448C22×C4—21no—
1449C22×C4—21no—
1450C22×C4—21no—
1451C22×C4—21no—
1452C22×C4—21no—
1453C22×C4—21no—
1454C22×C4—82no—
1455C22×C4—791no—
1456C22×C4—791no—
1457C22×C4—791no—
1458C22×C4—791no—
1459C22×C4—791no—
1460C22×C4—791no—
1461C22×C4—6322no—
1462C22×C4—1581no—
1463C22×C4—1581no—
1464C22×C4—1581no—
1465C22×C4—1581no—
1466C22×C4—1581no—
1467C22×C4—1581no—
1468C22×C4—1581no—
1469C22×C4—1581no—
1470C22×C4—1581no—
1471C22×C4—1581no—
1472C22×C4—1581no—
1473C22×C4—1581no—
1474C22×C4D4×D7911yescharacteristic
1475C22×C4D4×D7911yescharacteristic
1476C22×C4C23×D7911yescharacteristic
1477Q16—3161no—
1478Q16—3161no—
1479Q16—3161no—
1480SD16—22no—
1481SD16—41no—
1482SD16—3161no—
1483SD16—3161no—
1484SD16—3161no—
1485SD16—3161no—
1486SD16—3161no—
1487SD16—3161no—
1488SD16—3161no—
1489SD16—3161no—
1490SD16—1582no—
1491SD16—1582no—
1492D8—22no—
1493D8—41no—
1494D8—3161no—
1495D8—3161no—
1496D8—3161no—
1497D8—3161no—
1498D8—3161no—
1499D8—1582no—
1500D8—1582no—
1501C2×C8—3161no—
1502C2×C8—3161no—
1503C2×C8—3161no—
1504C2×C8—3161no—
1505C2×C8—3161no—
1506C2×C8—3161no—
1507C2×C8—791no—
1508C2×C8—791no—
1509C2×C8—791no—
1510C2×C8—791no—
1511C2×C8C23×D7911yescharacteristic
1512C2×C8C23×D7911yescharacteristic
1513C2×C8C23×D7911yescharacteristic
1514C2×C8C23×D7911yescharacteristic
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—21no—
1519C4⋊C4—21no—
1520C4⋊C4—791no—
1521C4⋊C4—791no—
1522C4⋊C4—791no—
1523C4⋊C4—791no—
1524C4⋊C4—791no—
1525C4⋊C4—791no—
1526C4⋊C4—791no—
1527C4⋊C4—791no—
1528C4⋊C4—1581no—
1529C4⋊C4—1581no—
1530C4⋊C4—1581no—
1531C4⋊C4—1581no—
1532C4⋊C4—1581no—
1533C4⋊C4—1581no—
1534C4⋊C4—1581no—
1535C4⋊C4—1581no—
1536C4⋊C4—1581no—
1537C4⋊C4—1581no—
1538C4⋊C4—1581no—
1539C4⋊C4—1581no—
1540C4⋊C4—1581no—
1541C4⋊C4—1581no—
1542C4⋊C4—1581no—
1543C4⋊C4—1581no—
1544C4⋊C4C23×D7911yescharacteristic
1545C4⋊C4C23×D7911yescharacteristic
1546C4⋊C4C23×D7911yescharacteristic
1547C4⋊C4C23×D7911yescharacteristic
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—791no—
1558C22⋊C4—791no—
1559C22⋊C4—791no—
1560C22⋊C4—791no—
1561C22⋊C4—791no—
1562C22⋊C4—791no—
1563C22⋊C4—1581no—
1564C22⋊C4—1581no—
1565C22⋊C4—1581no—
1566C22⋊C4—1581no—
1567C22⋊C4—1581no—
1568C22⋊C4—1581no—
1569C22⋊C4—1581no—
1570C22⋊C4—1581no—
1571C22⋊C4—1581no—
1572C22⋊C4—1581no—
1573C22⋊C4—1581no—
1574C22⋊C4—1581no—
1575C22⋊C4—1581no—
1576C22⋊C4—1581no—
1577C22⋊C4—1581no—
1578C22⋊C4—1581no—
1579C22⋊C4—1581no—
1580C22⋊C4—1581no—
1581C22⋊C4—1581no—
1582C22⋊C4—1581no—
1583C22⋊C4—1581no—
1584C22⋊C4—1581no—
1585C22⋊C4—1581no—
1586C22⋊C4—1581no—
1587C22⋊C4—1581no—
1588C22⋊C4—1581no—
1589C22⋊C4—1581no—
1590C22⋊C4—1581no—
1591C22⋊C4—1581no—
1592C22⋊C4—1581no—
1593C22⋊C4—1581no—
1594C22⋊C4—1581no—
1595C22⋊C4—1581no—
1596C42—21no—
1597C42—791no—
1598C42—791no—
1599C42—791no—
1600C42—791no—
1601C42—791no—
1602C42—791no—
1603C42—1581no—
1604C42—1581no—
1605C42—1581no—
1606C42—1581no—
1607C42—1581no—
1608C42D4×D7911yescharacteristic
1609C42D4×D7911yescharacteristic
1610C42C23×D7911yescharacteristic
1611C42C23×D7911yescharacteristic
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—42no—
1616C23—42no—
1617C23—81no—
1618C23—3162no—
1619C23—3162no—
1620C23—3162no—
1621C23—3162no—
1622C23—791no—
1623C23—791no—
1624C23—6321no—
1625C23—6321no—
1626C23—6321no—
1627C23—6321no—
1628C23—6321no—
1629C23—1581no—
1630C23—1581no—
1631C23—1581no—
1632C23C2×D4×D7911yescharacteristic
1633Q8—21no—
1634Q8—21no—
1635Q8—6321no—
1636Q8—6321no—
1637Q8—6321no—
1638Q8—1582no—
1639Q8—1581no—
1640Q8—1581no—
1641Q8—1581no—
1642Q8—1581no—
1643Q8—1581no—
1644Q8—1581no—
1645D4—21no—
1646D4—21no—
1647D4—21no—
1648D4—21no—
1649D4—21no—
1650D4—42no—
1651D4—42no—
1652D4—3162no—
1653D4—3162no—
1654D4—3162no—
1655D4—3162no—
1656D4—3162no—
1657D4—3162no—
1658D4—3162no—
1659D4—794no—
1660D4—6321no—
1661D4—6321no—
1662D4—6321no—
1663D4—6321no—
1664D4—6321no—
1665D4—6321no—
1666D4—6321no—
1667D4—6321no—
1668D4—6321no—
1669D4—1582no—
1670D4—1582no—
1671D4—1581no—
1672D4—1581no—
1673D4—1581no—
1674D4—1581no—
1675D4—1581no—
1676D4—1581no—
1677D4#1457920712yes—
1678C2×C4—22no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—41no—
1687C2×C4—42no—
1688C2×C4—42no—
1689C2×C4—81no—
1690C2×C4—81no—
1691C2×C4—81no—
1692C2×C4—81no—
1693C2×C4—3162no—
1694C2×C4—3161no—
1695C2×C4—3161no—
1696C2×C4—3162no—
1697C2×C4—3162no—
1698C2×C4—3162no—
1699C2×C4—791no—
1700C2×C4—791no—
1701C2×C4—791no—
1702C2×C4—791no—
1703C2×C4—791no—
1704C2×C4—791no—
1705C2×C4—6321no—
1706C2×C4—6321no—
1707C2×C4—6321no—
1708C2×C4—6321no—
1709C2×C4—6321no—
1710C2×C4—6321no—
1711C2×C4—6321no—
1712C2×C4—6321no—
1713C2×C4—1582no—
1714C2×C4—1582no—
1715C2×C4—1581no—
1716C2×C4—1581no—
1717C2×C4—1581no—
1718C2×C4—1581no—
1719C2×C4—1581no—
1720C2×C4—1581no—
1721C2×C4—1581no—
1722C2×C4—1581no—
1723C2×C4—1581no—
1724C2×C4C2×D4×D7911yescharacteristic
1725C2×C4C2×D4×D7911yescharacteristic
1726C2×C4C2×D4×D7911yescharacteristic
1727C2×C4C2×D4×D7911yescharacteristic
1728C2×C4C2×D4×D7911yescharacteristic
1729C2×C4C24×D7911yescharacteristic
1730C8—21no—
1731C8—21no—
1732C8—21no—
1733C8—21no—
1734C8—1581no—
1735C8—1581no—
1736C8—1581no—
1737C8—1581no—
1738C22—21no—
1739C22—21no—
1740C22—22no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—84no—
1750C22—3161no—
1751C22—3161no—
1752C22—3161no—
1753C22—3161no—
1754C22—3161no—
1755C22—3161no—
1756C22—3161no—
1757C22—3161no—
1758C22—3161no—
1759C22—792no—
1760C22—6324no—
1761C22—1581no—
1762C22—1581no—
1763C22—1581no—
1764C22—1581no—
1765C22—1581no—
1766C22—12642no—
1767C22—12642no—
1768C22#135×D7912yes—
1769C22C22×D4×D7911yescharacteristic
1770C4—21no—
1771C4—21no—
1772C4—21no—
1773C4—21no—
1774C4—21no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—3161no—
1781C4—3161no—
1782C4—3161no—
1783C4—3161no—
1784C4—3161no—
1785C4—792no—
1786C4—1581no—
1787C4—1581no—
1788C4—1581no—
1789C4—1581no—
1790C4—1581no—
1791C4C2×#1457920711yescharacteristic
1792C4#1909939911yescharacteristic
1793C2—22no—
1794C2—42no—
1795C2—81no—
1796C2—81no—
1797C2—3161no—
1798C2—6321no—
1799C2—6321no—
1800C2—6321no—
1801C2—1582no—
1802C2#2377706111yescharacteristic
1803C2C2×#135×D7911yescharacteristic
1804C2#2377817611yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3105C2
socleC22×C79C23×D4
hypercenter#3105D79
hypocenterC79#61955
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3105

Complements

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

NH ≅ G/Ntype
1. #23777349C2semidirect
2. #23777004C2semidirect
3. #23776412C2semidirect
4. #23776397C2semidirect
5. #23776061C2semidirect
6. #23776050C2semidirect
7. #23775307C2semidirect
8. #23775300C2semidirect
9. #23775274C2semidirect
10. #23775255C2semidirect
11. #23775248C2semidirect
12. #23775222C2semidirect
13. #23775111C2semidirect
14. #23775109C2semidirect
15. #23775094C2semidirect
16. #23775086C2semidirect
17. #23775078C2semidirect
18. #23775070C2semidirect
19. #23774751C2semidirect
20. #23774747C2semidirect
21. #23774725C2semidirect
22. #23774367C2semidirect
23. #23774363C2semidirect
24. #23774332C2semidirect
25. #23773452C2semidirect
26. #23773423C2semidirect
27. #23772852C2semidirect
28. C2×#19098778C2semidirect
29. #463×D79C2semidirect
30. #23772508C2semidirect
31. C79×#3105C2semidirect
32. C2×#14579182C22semidirect
33. C2×#14579180C22semidirect
34. C22×#11929612C22semidirect
35. C2×SD16×D79C22semidirect
38. #19099296C22semidirect
39. #19099296C22semidirect
40. #19099285C22semidirect
42. #19099272C22semidirect
44. #19099263C22semidirect
46. #19099261C22semidirect
52. #19099225C22semidirect
53. #19099219C22semidirect
54. #19099208C22semidirect
55. #19099208C22semidirect
56. #19099207C22semidirect
58. #19099204C22semidirect
65. #19099112C22semidirect
66. #19099110C22semidirect
67. #19099098C22semidirect
68. #19099098C22semidirect
69. #19099097C22semidirect
70. #19099095C22semidirect
72. C2×#14579149C22semidirect
73. #124×D79C22semidirect
78. C4×#11929623C22semidirect
80. C4×D4×D79C22semidirect
81. #19098947C22semidirect
82. #19098947C22semidirect
83. #19098946C22semidirect
84. #19098944C22semidirect
86. #19098934C22semidirect
87. #19098919C22semidirect
88. #19098918C22semidirect
89. #19098918C22semidirect
90. #19098916C22semidirect
91. #19098912C22semidirect
92. #19098908C22semidirect
93. #19098907C22semidirect
94. #19098900C22semidirect
95. #19098890C22semidirect
96. #19098883C22semidirect
97. #19098873C22semidirect
98. #19098870C22semidirect
99. #19098867C22semidirect
100. #19098866C22semidirect
101. #19098863C22semidirect
102. #19098860C22semidirect
103. #19098857C22semidirect
104. #19098852C22semidirect
105. #19098805C22semidirect
106. #19098802C22semidirect
107. #19098800C22semidirect
109. #19098798C22semidirect
111. #19098794C22semidirect
112. #19098793C22semidirect
113. #19098793C22semidirect
114. #19098791C22semidirect
115. #19098791C22semidirect
116. #19098790C22semidirect
117. #19098786C22semidirect
118. #19098786C22semidirect
119. #19098785C22semidirect
120. #19098784C22semidirect
121. #19098782C22semidirect
122. #19098781C22semidirect
124. #19098779C22semidirect
125. #19098779C22semidirect
128. #19098778C22semidirect
129. #19098778C22semidirect
130. #19098778C22semidirect
131. #19098778C22semidirect
132. #19098778C22semidirect
133. #19098778C22semidirect
134. #19098778C22semidirect
135. #19098777C22semidirect
136. #19098777C22semidirect
137. #19098776C22semidirect
138. #19098775C22semidirect
139. #19098772C22semidirect
140. #19098766C22semidirect
141. #19098762C22semidirect
142. #19098762C22semidirect
145. #19098726C22semidirect
146. #19098721C22semidirect
147. #19098720C22semidirect
148. #19098716C22semidirect
149. #19098715C22semidirect
150. #19098715C22semidirect
151. #19098711C22semidirect
153. #19098709C22semidirect
154. #19098707C22semidirect
155. #19098705C22semidirect
156. #19098704C22semidirect
157. #19098700C22semidirect
161. C8×Dic158C22semidirect
162. C8×Dic158C22semidirect
163. #19098657C22semidirect
164. #19098654C22semidirect
165. #19098654C22semidirect
166. #19098650C22semidirect
167. #19098650C22semidirect
168. #19098645C22semidirect
170. #19098643C22semidirect
171. C8×D316C22semidirect
172. C8×D316C22semidirect
175. (C22⋊D79)⋊C8C22semidirect
176. (C22⋊D79)⋊C8C22semidirect
177. #19098615C22semidirect
178. #19098615C22semidirect
179. C2×C4⋊(C79⋊C8)C22semidirect
180. C4⋊C8×D79C22semidirect
181. C4⋊C8×D79C22semidirect
182. #19098558C22semidirect
183. #19098556C22semidirect
184. C2×#14579084C22semidirect
185. #103×D79C22semidirect
186. C2×#14579081C22semidirect
187. #102×D79C22semidirect
188. #529×C79C22semidirect
189. C2×C4×D4×C79C22semidirect
190. #484×C79C22semidirect
191. #481×C79C22semidirect
192. #478×C79C22semidirect
193. #478×C79C22semidirect
194. #463×C79C22semidirect
195. #463×C79C22semidirect
196. #450×C79C22semidirect
198. C4×SD16×C79C22semidirect
199. C4×SD16×C79C22semidirect
200. C4×D8×C79C22semidirect
201. C4×D8×C79C22semidirect
202. #431×C79C22semidirect
773. C22⋊D79#135semidirect
928. #3105D79semidirect
934. C79#61955semidirect
975. #529C2×D79semidirect
985. C2×C4×D4C2×D79semidirect
1000. #484C2×D79semidirect
1003. #481C2×D79semidirect
1010. #478C2×D79semidirect
1011. #478C2×D79semidirect
1048. #463C2×D79semidirect
1049. #463C2×D79semidirect
1062. #450C2×D79semidirect
1081. C4×SD16C2×D79semidirect
1082. C4×SD16C2×D79semidirect
1086. C4×D8C2×D79semidirect
1087. C4×D8C2×D79semidirect
1096. #431C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237773492
#237770042
#237764122
#237763972
#237760612
#237760502
#237753072
#237753002
#237752742
#237752552
#237752482
#237752222
#237751112
#237751092
#237750942
#237750862
#237750782
#237750702
#237747512
#237747472
#237747252
#237743672
#237743632
#237743322
#237734522
#237734232
#237728522
C2×#190987782
#463×D792
#237725082
C79×#31052
#6195579