Finite Group Databasebeta

← #35169763

Subgroups — #35169763

Order 20224.

2000 conjugacy classes of subgroups.

The subgroup lattice has 1776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777007C211yesmaximal, characteristic, complemented
2#23777005C211yesmaximal, characteristic, complemented
3#23776407C211yesmaximal, characteristic, complemented
4#23776262C211yesmaximal, characteristic, complemented
5#23776061C211yesmaximal, characteristic, complemented
6#23776057C211yesmaximal, characteristic, complemented
7#23775796C211yesmaximal, characteristic, complemented
8#23775795C211yesmaximal, characteristic, complemented
9#23775787C211yesmaximal, characteristic, complemented
10#23775252C211yesmaximal, characteristic, complemented
11#23775251C211yesmaximal, characteristic, complemented
12#23775245C211yesmaximal, characteristic, complemented
13#23775220C211yesmaximal, characteristic, complemented
14#23775219C211yesmaximal, characteristic, complemented
15#23775083C211yesmaximal, characteristic, complemented
16#23775081C211yesmaximal, characteristic, complemented
17#23775070C211yesmaximal, characteristic, complemented
18#23773974C211yesmaximal, characteristic, complemented
19#23773969C211yesmaximal, characteristic, complemented
20#23773963C211yesmaximal, characteristic, complemented
21#23773455C211yesmaximal, characteristic, complemented
22#23773453C211yesmaximal, characteristic, complemented
23#23773452C211yesmaximal, characteristic, complemented
24#23773450C211yesmaximal, characteristic, complemented
25#23773446C211yesmaximal, characteristic, complemented
26#23773442C211yesmaximal, characteristic, complemented
27C8×#11929623C211yesmaximal, characteristic, complemented
28#23772168C211yesmaximal, characteristic, complemented
29C2×#19098643C211yesmaximal, characteristic, complemented
30C4×D8×D79C211yesmaximal, characteristic, complemented
31C79×#3297C211yesmaximal, characteristic, complemented
32C2×#14579181C2211yescharacteristic
33C22×#11929609C2211yescharacteristic
34C2×D8×D79C2211yescharacteristic
35#19099296C2211yescharacteristic, complemented
36#19099295C2211yescharacteristic, complemented
37#19099272C2211yescharacteristic, complemented
38#19099271C2211yescharacteristic
39#19099269C2211yescharacteristic, complemented
40#19099268C2211yescharacteristic
41#19099260C2211yescharacteristic, complemented
42#19099259C2211yescharacteristic, complemented
43#19099258—21no—
44#19099257C2211yescharacteristic, complemented
45#19099256—21no—
46#19099242—21no—
47#19099239—21no—
48#19099238—21no—
49#19099236—21no—
50#19099210C2211yescharacteristic, complemented
51#19099209C2211yescharacteristic, complemented
52#19099202—21no—
53#19099201C2211yescharacteristic, complemented
54#19099200—21no—
55#19099197C2211yescharacteristic
56D4×C22⋊D79C2211yescharacteristic
57#19099108C2211yescharacteristic, complemented
58#19099108C2211yescharacteristic, complemented
59#19099099C2211yescharacteristic, complemented
60#19099098C2211yescharacteristic, complemented
61#19099096—21no—
62#19099094C2211yescharacteristic, complemented
63#19099092C2211yescharacteristic, complemented
64#19099090—21no—
65#19099073—21no—
66#19099073—21no—
67#19099071—21no—
68#19099069—21no—
69#41×Dic79C2211yescharacteristic, complemented
70#19099031C2211yescharacteristic, complemented
71C4×#11929623C2211yescharacteristic
72C2×D4×Dic79C2211yescharacteristic, complemented
73C2×#14579123C2211yescharacteristic, complemented
74C2×(C22⋊D79)⋊C4—21no—
75C4×D4×D79—21no—
76C4×D4×D79C2211yescharacteristic, complemented
77C4×D4×D79C2211yescharacteristic, complemented
78#19098967C2211yescharacteristic, complemented
79#19098963C2211yescharacteristic, complemented
80#19098962C2211yescharacteristic, complemented
81#19098945C2211yescharacteristic, complemented
82#19098944C2211yescharacteristic, complemented
83#19098938C2211yescharacteristic
84#19098919C2211yescharacteristic, complemented
85#19098918C2211yescharacteristic, complemented
86#19098916C2211yescharacteristic, complemented
87#19098908C2211yescharacteristic, complemented
88#19098908C2211yescharacteristic, complemented
89#19098900C2211yescharacteristic, complemented
90#19098899C2211yescharacteristic, complemented
91#19098897C2211yescharacteristic, complemented
92#19098888C2211yescharacteristic, complemented
93#19098887C2211yescharacteristic, complemented
94#19098884C2211yescharacteristic, complemented
95#19098883C2211yescharacteristic, complemented
96#19098881C2211yescharacteristic, complemented
97#19098880C2211yescharacteristic, complemented
98#19098879C2211yescharacteristic, complemented
99#19098866C2211yescharacteristic, complemented
100#19098866C2211yescharacteristic, complemented
101#19098864C2211yescharacteristic, complemented
102#19098863C2211yescharacteristic, complemented
103#19098861C2211yescharacteristic, complemented
104#19098861C2211yescharacteristic, complemented
105#19098860C2211yescharacteristic, complemented
106#19098857C2211yescharacteristic, complemented
107#19098856C2211yescharacteristic, complemented
108#19098852C2211yescharacteristic, complemented
109#19098851C2211yescharacteristic, complemented
110#19098803C2211yescharacteristic, complemented
111#19098802C2211yescharacteristic, complemented
112#19098799C2211yescharacteristic, complemented
113#19098798C2211yescharacteristic
114#19098797C2211yescharacteristic
115#19098797C2211yescharacteristic, complemented
116#19098797C2211yescharacteristic, complemented
117#19098795C2211yescharacteristic, complemented
118#19098792C2211yescharacteristic, complemented
119#19098791C2211yescharacteristic, complemented
120#19098781C2211yescharacteristic, complemented
121#19098781C2211yescharacteristic, complemented
122#19098779C2211yescharacteristic, complemented
123#19098778C2211yescharacteristic, complemented
124#19098776C2211yescharacteristic, complemented
125#19098776C2211yescharacteristic, complemented
126#19098775C2211yescharacteristic, complemented
127#19098762C2211yescharacteristic, complemented
128#19098761C2211yescharacteristic, complemented
129#19098757C2211yescharacteristic
130#19098756C2211yescharacteristic
131#19098715C2211yescharacteristic, complemented
132#19098714C2211yescharacteristic, complemented
133#19098713C2211yescharacteristic, complemented
134#19098712C2211yescharacteristic, complemented
135#19098710C2211yescharacteristic, complemented
136#19098708C2211yescharacteristic, complemented
137#19098706C2211yescharacteristic, complemented
138#19098699C2211yescharacteristic
139#19098698C2211yescharacteristic
140#19098695C2211yescharacteristic
141C8×Dic158C2211yescharacteristic, complemented
142#19098687C2211yescharacteristic, complemented
143#19098655C2211yescharacteristic, complemented
144#19098655C2211yescharacteristic, complemented
145#19098654C2211yescharacteristic, complemented
146#19098654C2211yescharacteristic, complemented
147#19098654C2211yescharacteristic, complemented
148SD16×Dic79C2211yescharacteristic, complemented
149#19098650C2211yescharacteristic, complemented
150#19098648C2211yescharacteristic, complemented
151#19098648C2211yescharacteristic, complemented
152#19098648C2211yescharacteristic, complemented
153C4×D632C2211yescharacteristic, complemented
154D8×Dic79C2211yescharacteristic, complemented
155D8×Dic79C2211yescharacteristic, complemented
156#19098645C2211yescharacteristic, complemented
157#19098645C2211yescharacteristic, complemented
158C4×#11929609C2211yescharacteristic
159C4×#11929609C2211yescharacteristic, complemented
160#19098643C2211yescharacteristic
161#19098643C2211yescharacteristic
162#19098643C2211yescharacteristic
163#19098643C2211yescharacteristic, complemented
164#19098643C2211yescharacteristic, complemented
165#19098643C2211yescharacteristic, complemented
166#19098643C2211yescharacteristic, complemented
167#19098643C2211yescharacteristic, complemented
168#19098643C2211yescharacteristic, complemented
169#19098643C2211yescharacteristic, complemented
170D4×C79⋊C8C2211yescharacteristic, complemented
171C8×C22⋊D79C2211yescharacteristic
172C8×C22⋊D79C2211yescharacteristic, complemented
173(C22⋊D79)⋊C8C2211yescharacteristic
174(C22⋊D79)⋊C8C2211yescharacteristic, complemented
175#19098615C2211yescharacteristic, complemented
176#19098613C2211yescharacteristic, complemented
177#19098613C2211yescharacteristic, complemented
178#19098599C2211yescharacteristic, complemented
179C2×#14579094C2211yescharacteristic, complemented
180#107×D79C2211yescharacteristic, complemented
181#19098560C2211yescharacteristic, complemented
182C2×#14579083C2211yescharacteristic, complemented
183#102×D79C2211yescharacteristic, complemented
184#102×D79C2211yescharacteristic, complemented
185C2×C8×Dic79C2211yescharacteristic, complemented
186C2×C8×Dic79C2211yescharacteristic, complemented
187C4×C8×D79C2211yescharacteristic, complemented
188#553×C79C2211yescharacteristic, complemented
189#546×C79C2211yescharacteristic, complemented
190#488×C79C2211yescharacteristic, complemented
191#484×C79C2211yescharacteristic, complemented
192#482×C79C2211yescharacteristic, complemented
193#478×C79C2211yescharacteristic, complemented
194#466×C79C2211yescharacteristic, complemented
195#465×C79C2211yescharacteristic, complemented
196#463×C79C2211yescharacteristic, complemented
197#449×C79C2211yescharacteristic, complemented
198#447×C79C2211yescharacteristic
199C4×D8×C79C2211yescharacteristic, complemented
200C8×D4×C79C2211yescharacteristic, complemented
201#416×C79C2211yescharacteristic, complemented
202C2×#102×C79C2211yescharacteristic, complemented
203C2×#11929624C2311yescharacteristic
204C2×#11929623—21no—
205C2×#11929623—21no—
206C2×#11929623D411yescharacteristic
207C22×D316C2311yescharacteristic
208C22×C22⋊D79—21no—
209C2×D4×D79—21no—
210C2×D4×D79C2311yescharacteristic
211C2×D4×D79C2311yescharacteristic
212C23×Dic79—21no—
213C22×C4×D79—21no—
214C22×C4×D79—21no—
215C22×C4×D79—21no—
216#14579181—24no—
217C2×#11929614C2311yescharacteristic
218C2×#11929613C2311yescharacteristic
219C2×#11929612C2311yescharacteristic
220C2×#11929612C2311yescharacteristic
221C2×#11929611C2311yescharacteristic
222C2×#11929611C2311yescharacteristic
223C2×D632C2311yescharacteristic
224C2×D632C2311yescharacteristic
225C2×#11929609—24no—
226C2×#11929609C2311yescharacteristic
227C2×#11929609C2311yescharacteristic
228C2×#11929609C2311yescharacteristic
229C2×#11929609C2311yescharacteristic
230C2×#11929609C2311yescharacteristic
231D8×D79—24no—
232C22×C79⋊C8C2311yescharacteristic
233C22×C79⋊C8C2311yescharacteristic
234C2×C8×D79C2311yescharacteristic
235C2×C8×D79C2311yescharacteristic
236#14579160C2311yescharacteristic
237#14579160C2311yescharacteristic
238#14579157C2311yescharacteristic
239#14579157C2311yescharacteristic
240#14579156—21no—
241#14579156—21no—
242#14579156—21no—
243#14579155—21no—
244#14579154—21no—
245#14579154—21no—
246#14579154—21no—
247#14579153C2311yescharacteristic
248#14579152C2311yescharacteristic
249#14579152C2311yescharacteristic
250#14579151—21no—
251#14579151—21no—
252#14579150C2311yescharacteristic
253#14579149C2311yescharacteristic
254#14579148C2311yescharacteristic
255#14579147—21no—
256#14579147—21no—
257#14579147—21no—
258#14579147—21no—
259#14579146—21no—
260#14579146—21no—
261#14579145—21no—
262#14579145—21no—
263#14579144—21no—
264#14579144—21no—
265#14579143—21no—
266#14579143—21no—
267#14579143—21no—
268#14579143—21no—
269#14579143—21no—
270#14579143—21no—
271#14579142—21no—
272#14579142—21no—
273#14579141—21no—
274#14579141—21no—
275#14579141C2311yescharacteristic
276#14579140—21no—
277#14579140—21no—
278#14579140C2311yescharacteristic
279#14579139—21no—
280#14579139—21no—
281#14579139—21no—
282#14579138—21no—
283#14579138—21no—
284#14579138—21no—
285#14579137C2311yescharacteristic
286#14579136C2311yescharacteristic
287#14579135C2311yescharacteristic
288#14579135C2311yescharacteristic
289#14579135C2311yescharacteristic
290#14579134—21no—
291#14579134—21no—
292#14579134—21no—
293#14579133—21no—
294#14579133—21no—
295#14579133—21no—
296#14579133—21no—
297#14579133—21no—
298#14579132—21no—
299#14579132—21no—
300#14579132C2311yescharacteristic
301#14579131—21no—
302#14579130—21no—
303#14579129—21no—
304#14579129—21no—
305#14579129—21no—
306#14579129—21no—
307#14579129—21no—
308Q8×Dic79C2311yescharacteristic
309Q8×Dic79C2311yescharacteristic
310C4×Dic158C2311yescharacteristic
311#14579126D411yescharacteristic
312#14579126C2311yescharacteristic
313#14579126C2311yescharacteristic
314C4×D316—21no—
315C4×D316C2311yescharacteristic
316C4×D316C2311yescharacteristic
317D4×Dic79—21no—
318D4×Dic79—21no—
319D4×Dic79—21no—
320D4×Dic79—21no—
321D4×Dic79—21no—
322D4×Dic79D411yescharacteristic
323D4×Dic79C2311yescharacteristic
324D4×Dic79C2311yescharacteristic
325D4×Dic79C2311yescharacteristic
326D4×Dic79C2311yescharacteristic
327D4×Dic79C2311yescharacteristic
328D4×Dic79C2311yescharacteristic
329#14579123—21no—
330#14579123—21no—
331#14579123—21no—
332#14579123C2311yescharacteristic
333#14579123C2311yescharacteristic
334#14579123C2311yescharacteristic
335#14579123C2311yescharacteristic
336#14579123C2311yescharacteristic
337#14579123C2311yescharacteristic
338C4×C22⋊D79—21no—
339C4×C22⋊D79—21no—
340C4×C22⋊D79—21no—
341C4×C22⋊D79—21no—
342C4×C22⋊D79C2311yescharacteristic
343C4×C22⋊D79C2311yescharacteristic
344(C22⋊D79)⋊C4—21no—
345(C22⋊D79)⋊C4—21no—
346(C22⋊D79)⋊C4—21no—
347(C22⋊D79)⋊C4—21no—
348(C22⋊D79)⋊C4—21no—
349(C22⋊D79)⋊C4—21no—
350(C22⋊D79)⋊C4—21no—
351(C22⋊D79)⋊C4—21no—
352(C22⋊D79)⋊C4—21no—
353(C22⋊D79)⋊C4—21no—
354(C22⋊D79)⋊C4—21no—
355(C22⋊D79)⋊C4—21no—
356(C22⋊D79)⋊C4D411yescharacteristic
357(C22⋊D79)⋊C4D411yescharacteristic
358#14579120—21no—
359#14579120C2311yescharacteristic
360#14579119—21no—
361#14579119—21no—
362#14579119D411yescharacteristic
363#14579118—21no—
364#14579117—21no—
365#14579117—21no—
366#14579117D411yescharacteristic
367#14579117D411yescharacteristic
368C2×C4⋊Dic79C2311yescharacteristic
369C2×Dic79⋊C4—21no—
370C4⋊C4×D79—21no—
371C4⋊C4×D79C2311yescharacteristic
372C4⋊C4×D79C2311yescharacteristic
373C2×C22⋊Dic79—21no—
374C2×(C2×D79)⋊C4—21no—
375C2×(C2×D79)⋊C4—21no—
376C22⋊C4×D79—21no—
377C22⋊C4×D79—21no—
378C22⋊C4×D79—21no—
379C22⋊C4×D79—21no—
380C2×C4×Dic79—21no—
381C2×C4×Dic79C2311yescharacteristic
382C2×C4×Dic79C2311yescharacteristic
383C42×D79—21no—
384C42×D79C2311yescharacteristic
385#14579095C2311yescharacteristic
386#14579095C2311yescharacteristic
387#14579094C2311yescharacteristic
388#14579094C2311yescharacteristic
389#14579094C2311yescharacteristic
390#14579094C2311yescharacteristic
391#14579094C2311yescharacteristic
392#14579094C2311yescharacteristic
393#14579093C2311yescharacteristic
394#14579092C2311yescharacteristic
395#14579092C2311yescharacteristic
396#14579092C2311yescharacteristic
397#14579092C2311yescharacteristic
398C4⋊(C79⋊C8)C2311yescharacteristic
399Dic79⋊C8C2311yescharacteristic
400Dic79⋊C8C2311yescharacteristic
401Dic79⋊C8C2311yescharacteristic
402Dic79⋊C8C2311yescharacteristic
403#14579086C2311yescharacteristic
404#14579086C2311yescharacteristic
405#14579086C2311yescharacteristic
406#14579085C2311yescharacteristic
407#14579084C2311yescharacteristic
408#14579083C2311yescharacteristic
409#14579083C2311yescharacteristic
410#14579083C2311yescharacteristic
411#14579083C2311yescharacteristic
412#14579083C2311yescharacteristic
413#14579083C2311yescharacteristic
414#14579083C2311yescharacteristic
415#14579082C2311yescharacteristic
416#14579082C2311yescharacteristic
417#14579082C2311yescharacteristic
418#14579082C2311yescharacteristic
419#14579082C2311yescharacteristic
420#14579081C2311yescharacteristic
421#14579081C2311yescharacteristic
422#14579081C2311yescharacteristic
423#14579081C2311yescharacteristic
424#14579081C2311yescharacteristic
425C22⋊(C79⋊C8)C2311yescharacteristic
426C22⋊(C79⋊C8)C2311yescharacteristic
427(C2×D79)⋊C8C2311yescharacteristic
428(C2×D79)⋊C8C2311yescharacteristic
429C4×C79⋊C8C2311yescharacteristic
430C8×Dic79C2311yescharacteristic
431C8×Dic79C2311yescharacteristic
432C8×Dic79C2311yescharacteristic
433C8×Dic79C2311yescharacteristic
434C8×Dic79C2311yescharacteristic
435C8×Dic79C2311yescharacteristic
436C8×Dic79C2311yescharacteristic
437C8×Dic79C2311yescharacteristic
438C2×#41×C79C2311yescharacteristic
439C22×D4×C79C2311yescharacteristic
440C2×SD16×C79C2311yescharacteristic
441C2×D8×C79C2311yescharacteristic
442C2×D8×C79C2311yescharacteristic
443C22×C8×C79C2311yescharacteristic
444C22×C8×C79C2311yescharacteristic
445#126×C79—21no—
446#125×C79C2311yescharacteristic
447#124×C79C2311yescharacteristic
448#123×C79—21no—
449#123×C79—21no—
450C22⋊Q8×C79C2311yescharacteristic
451#121×C79—21no—
452#121×C79—21no—
453#121×C79C2311yescharacteristic
454#121×C79C2311yescharacteristic
455#121×C79C2311yescharacteristic
456#120×C79—21no—
457C4×D4×C79—21no—
458C4×D4×C79C2311yescharacteristic
459C4×D4×C79C2311yescharacteristic
460C4×D4×C79C2311yescharacteristic
461#117×C79C2311yescharacteristic
462C2×C4⋊C4×C79C2311yescharacteristic
463C2×C22⋊C4×C79—21no—
464#107×C79C2311yescharacteristic
465#107×C79C2311yescharacteristic
466#106×C79C2311yescharacteristic
467C4⋊C8×C79C2311yescharacteristic
468#103×C79C2311yescharacteristic
469#103×C79C2311yescharacteristic
470#103×C79C2311yescharacteristic
471#102×C79C2311yescharacteristic
472#102×C79C2311yescharacteristic
473#102×C79C2311yescharacteristic
474#102×C79C2311yescharacteristic
475#102×C79C2311yescharacteristic
476#102×C79C2311yescharacteristic
477#102×C79C2311yescharacteristic
478C22⋊C8×C79C2311yescharacteristic
479C22⋊C8×C79C2311yescharacteristic
480C4×C8×C79C2311yescharacteristic
481C23×D79—21no—
482C23×D79—21no—
483C23×D79—21no—
484#11929624—22no—
485#11929624—41no—
486#11929623—24no—
487#11929623—82no—
488#11929623—82no—
489C2×Dic158—21no—
490C2×Dic158—21no—
491C2×Dic158C2×D411yescharacteristic
492C2×Dic158C2411yescharacteristic
493C2×D316—21no—
494C2×D316—22no—
495C2×D316—21no—
496C2×D316—41no—
497C2×D316C2411yescharacteristic
498C2×D316C2411yescharacteristic
499C2×D316C2411yescharacteristic
500C2×C22⋊D79—21no—
501C2×C22⋊D79—21no—
502C2×C22⋊D79—21no—
503C2×C22⋊D79—21no—
504C2×C22⋊D79—21no—
505C2×C22⋊D79—21no—
506C2×C22⋊D79—21no—
507C2×C22⋊D79—21no—
508C2×C22⋊D79—21no—
509C2×C22⋊D79—21no—
510C2×C22⋊D79—21no—
511C2×C22⋊D79—44no—
512C2×C22⋊D79C2×D411yescharacteristic
513C2×C22⋊D79C2×D411yescharacteristic
514D4×D79—22no—
515D4×D79—22no—
516D4×D79—41no—
517D4×D79—41no—
518D4×D79—44no—
519C22×Dic79—21no—
520C22×Dic79—21no—
521C22×Dic79—21no—
522C22×Dic79—21no—
523C22×Dic79—21no—
524C22×Dic79—21no—
525C22×Dic79—21no—
526C22×Dic79—82no—
527C22×Dic79C2×D411yescharacteristic
528C22×Dic79C2×D411yescharacteristic
529C22×Dic79C2×D411yescharacteristic
530C22×Dic79C2×D411yescharacteristic
531C2×C4×D79—21no—
532C2×C4×D79—21no—
533C2×C4×D79—21no—
534C2×C4×D79—21no—
535C2×C4×D79—21no—
536C2×C4×D79—21no—
537C2×C4×D79—21no—
538C2×C4×D79—21no—
539C2×C4×D79—21no—
540C2×C4×D79—21no—
541C2×C4×D79—21no—
542C2×C4×D79—82no—
543C2×C4×D79—82no—
544C2×C4×D79—82no—
545C2×C4×D79C2×D411yescharacteristic
546C2×C4×D79C2×D411yescharacteristic
547C2×C4×D79C2411yescharacteristic
548#11929614—22no—
549#11929613—41no—
550#11929612—22no—
551#11929612—41no—
552#11929611—22no—
553#11929611—41no—
554D632—22no—
555D632—41no—
556#11929609—22no—
557#11929609—22no—
558#11929609—22no—
559#11929609—22no—
560#11929609#4114yescomplemented
561C2×C79⋊C8—22no—
562C2×C79⋊C8—22no—
563C2×C79⋊C8C2411yescharacteristic
564C2×C79⋊C8C2411yescharacteristic
565C2×C79⋊C8C2411yescharacteristic
566C2×C79⋊C8C2411yescharacteristic
567C8×D79—22no—
568C8×D79—41no—
569C4⋊Dic79—21no—
570C4⋊Dic79—21no—
571C4⋊Dic79—21no—
572C4⋊Dic79—21no—
573C4⋊Dic79—21no—
574C4⋊Dic79—21no—
575C4⋊Dic79C2×D411yescharacteristic
576C4⋊Dic79C2411yescharacteristic
577C4⋊Dic79C2411yescharacteristic
578C4⋊Dic79C2411yescharacteristic
579C4⋊Dic79C2411yescharacteristic
580Dic79⋊C4—21no—
581Dic79⋊C4—21no—
582Dic79⋊C4—21no—
583Dic79⋊C4—21no—
584Dic79⋊C4—21no—
585Dic79⋊C4—21no—
586Dic79⋊C4—21no—
587Dic79⋊C4—21no—
588Dic79⋊C4—21no—
589Dic79⋊C4—21no—
590Dic79⋊C4—21no—
591Dic79⋊C4—21no—
592Dic79⋊C4C2×D411yescharacteristic
593Dic79⋊C4C2×D411yescharacteristic
594Dic79⋊C4C2×D411yescharacteristic
595Dic79⋊C4C2×D411yescharacteristic
596C22⋊Dic79—21no—
597C22⋊Dic79—21no—
598C22⋊Dic79—21no—
599C22⋊Dic79—21no—
600C22⋊Dic79—21no—
601C22⋊Dic79—21no—
602C22⋊Dic79—21no—
603C22⋊Dic79—21no—
604C22⋊Dic79—21no—
605C22⋊Dic79—21no—
606C22⋊Dic79—21no—
607C22⋊Dic79C2×D411yescharacteristic
608C22⋊Dic79C2×D411yescharacteristic
609(C2×D79)⋊C4—21no—
610(C2×D79)⋊C4—21no—
611(C2×D79)⋊C4—21no—
612(C2×D79)⋊C4—21no—
613(C2×D79)⋊C4—21no—
614(C2×D79)⋊C4—21no—
615(C2×D79)⋊C4—21no—
616(C2×D79)⋊C4—21no—
617(C2×D79)⋊C4—21no—
618(C2×D79)⋊C4—21no—
619(C2×D79)⋊C4—21no—
620(C2×D79)⋊C4—21no—
621(C2×D79)⋊C4—21no—
622(C2×D79)⋊C4—21no—
623(C2×D79)⋊C4—21no—
624(C2×D79)⋊C4—21no—
625(C2×D79)⋊C4—21no—
626(C2×D79)⋊C4—21no—
627(C2×D79)⋊C4C2×D411yescharacteristic
628(C2×D79)⋊C4C2×D411yescharacteristic
629C4×Dic79—21no—
630C4×Dic79—21no—
631C4×Dic79—21no—
632C4×Dic79—21no—
633C4×Dic79—21no—
634C4×Dic79C2×D411yescharacteristic
635C4×Dic79C2×D411yescharacteristic
636C4×Dic79C2×D411yescharacteristic
637C4×Dic79C2×D411yescharacteristic
638C4×Dic79C2×D411yescharacteristic
639C4×Dic79C2×D411yescharacteristic
640C4×Dic79C2411yescharacteristic
641C4×Dic79C2411yescharacteristic
642C4×Dic79C2411yescharacteristic
643C24×C79—21no—
644#41×C79—22no—
645#41×C79—41no—
646C2×Q8×C79C2411yescharacteristic
647C2×D4×C79—22no—
648C2×D4×C79—21no—
649C2×D4×C79—21no—
650C2×D4×C79—21no—
651C2×D4×C79—21no—
652C2×D4×C79—21no—
653C2×D4×C79—41no—
654C2×D4×C79C2×D411yescharacteristic
655C2×D4×C79C2411yescharacteristic
656C2×D4×C79C2411yescharacteristic
657C2×D4×C79C2411yescharacteristic
658C22×C4×C79—21no—
659C22×C4×C79—21no—
660C22×C4×C79—21no—
661C22×C4×C79—21no—
662C22×C4×C79C2411yescharacteristic
663C22×C4×C79C2411yescharacteristic
664SD16×C79—41no—
665D8×C79—22no—
666D8×C79—41no—
667C2×C8×C79—41no—
668C2×C8×C79—41no—
669C2×C8×C79C2411yescharacteristic
670C2×C8×C79C2411yescharacteristic
671C2×C8×C79C2411yescharacteristic
672C2×C8×C79C2411yescharacteristic
673C4⋊C4×C79—21no—
674C4⋊C4×C79—21no—
675C4⋊C4×C79—21no—
676C4⋊C4×C79—21no—
677C4⋊C4×C79C2×D411yescharacteristic
678C4⋊C4×C79C2411yescharacteristic
679C4⋊C4×C79C2411yescharacteristic
680C4⋊C4×C79C2411yescharacteristic
681C4⋊C4×C79C2411yescharacteristic
682C22⋊C4×C79—21no—
683C22⋊C4×C79—21no—
684C22⋊C4×C79—21no—
685C22⋊C4×C79—21no—
686C22⋊C4×C79—21no—
687C22⋊C4×C79—21no—
688C22⋊C4×C79—21no—
689C22⋊C4×C79—21no—
690C22⋊C4×C79—21no—
691C22⋊C4×C79C2×D411yescharacteristic
692C22⋊C4×C79C2×D411yescharacteristic
693C42×C79—21no—
694C42×C79C2411yescharacteristic
695C23×C79—21no—
696C23×C79—21no—
697C23×C79—21no—
698C23×C79—42no—
699C23×C79—42no—
700C23×C79—81no—
701C23×C79C22×D411yescharacteristic
702C23×C79C22×D411yescharacteristic
703C22×D79—21no—
704C22×D79—21no—
705C22×D79—21no—
706C22×D79—42no—
707C22×D79—42no—
708C22×D79—42no—
709C22×D79—42no—
710C22×D79—42no—
711C22×D79—42no—
712C22×D79—81no—
713C22×D79—81no—
714C22×D79—81no—
715C22×D79C22×D411yescharacteristic
716Q8×C79—21no—
717Q8×C79—21no—
718D4×C79—22no—
719D4×C79—21no—
720D4×C79—21no—
721D4×C79—21no—
722D4×C79—21no—
723D4×C79—21no—
724D4×C79—42no—
725D4×C79—42no—
726D4×C79—42no—
727D4×C79—81no—
728D4×C79—81no—
729D4×C79C2×#4112yes—
730C2×C4×C79—21no—
731C2×C4×C79—21no—
732C2×C4×C79—21no—
733C2×C4×C79—21no—
734C2×C4×C79—21no—
735C2×C4×C79—21no—
736C2×C4×C79—21no—
737C2×C4×C79—21no—
738C2×C4×C79—21no—
739C2×C4×C79—42no—
740C2×C4×C79—81no—
741C2×C4×C79—81no—
742C2×C4×C79—81no—
743C2×C4×C79C22×D411yescharacteristic
744C2×C4×C79C22×D411yescharacteristic
745C2×C4×C79C22×D411yescharacteristic
746C2×C4×C79C22×D411yescharacteristic
747C2×C4×C79C2511yescharacteristic
748C22⋊D79—22no—
749C22⋊D79—42no—
750C22⋊D79—42no—
751C22⋊D79—42no—
752C22⋊D79—42no—
753C22⋊D79—42no—
754C22⋊D79—42no—
755C22⋊D79—42no—
756C22⋊D79—81no—
757C22⋊D79—81no—
758C22⋊D79—81no—
759C22⋊D79—81no—
760C22⋊D79#13514yescomplemented
761C2×Dic79—22no—
762C2×Dic79—22no—
763C2×Dic79—22no—
764C2×Dic79—22no—
765C2×Dic79—21no—
766C2×Dic79—21no—
767C2×Dic79—21no—
768C2×Dic79—21no—
769C2×Dic79—21no—
770C2×Dic79—42no—
771C2×Dic79—42no—
772C2×Dic79—42no—
773C2×Dic79—42no—
774C2×Dic79—81no—
775C2×Dic79—81no—
776C2×Dic79—81no—
777C2×Dic79C22×D411yescharacteristic
778C2×Dic79C22×D411yescharacteristic
779C2×Dic79C22×D411yescharacteristic
780C2×Dic79C22×D411yescharacteristic
781C2×Dic79C22×D411yescharacteristic
782C2×Dic79C22×D411yescharacteristic
783C2×Dic79C22×D411yescharacteristic
784D316—21no—
785D316—21no—
786D316—21no—
787D316—21no—
788D316—21no—
789D316—42no—
790D316—42no—
791D316C2×#4112yes—
792C4×D79—22no—
793C4×D79—21no—
794C4×D79—21no—
795C4×D79—22no—
796C4×D79—42no—
797C4×D79—42no—
798C4×D79—42no—
799C4×D79—42no—
800C4×D79—42no—
801C4×D79—81no—
802C4×D79—81no—
803C4×D79—81no—
804C4×D79—81no—
805C4×D79—81no—
806C4×D79—81no—
807Dic158—22no—
808Dic158—21no—
809Dic158—21no—
810Dic158—81no—
811Dic158—81no—
812C8×C79—21no—
813C8×C79—21no—
814C8×C79—21no—
815C8×C79—21no—
816C79⋊C8—21no—
817C79⋊C8—21no—
818C79⋊C8—21no—
819C79⋊C8C2×#4112yes—
820C22×C79—21no—
821C22×C79—21no—
822C22×C79—21no—
823C22×C79—22no—
824C22×C79—21no—
825C22×C79—21no—
826C22×C79—41no—
827C22×C79—41no—
828C22×C79—41no—
829C22×C79—41no—
830C22×C79—41no—
831C22×C79—41no—
832C22×C79—41no—
833C22×C79—41no—
834C22×C79—84no—
835C22×C79C2×#13512yes—
836C22×C79C23×D411yescharacteristic
837C2×D79—21no—
838C2×D79—21no—
839C2×D79—22no—
840C2×D79—41no—
841C2×D79—41no—
842C2×D79—41no—
843C2×D79—41no—
844C2×D79—41no—
845C2×D79—41no—
846C2×D79—41no—
847C2×D79—41no—
848C2×D79—84no—
849C2×D79—84no—
850C2×D79—84no—
851C2×D79C2×#13512yes—
852C4×C79—21no—
853C4×C79—21no—
854C4×C79—21no—
855C4×C79—21no—
856C4×C79—41no—
857C4×C79—41no—
858C4×C79—41no—
859C4×C79—41no—
860C4×C79—41no—
861C4×C79C22×#4111yescharacteristic
862C4×C79#58511yescharacteristic
863Dic79—21no—
864Dic79—21no—
865Dic79—21no—
866Dic79—21no—
867Dic79—21no—
868Dic79—41no—
869Dic79—41no—
870Dic79—41no—
871Dic79—41no—
872Dic79—41no—
873Dic79C2×#13512yes—
874Dic79#57612yes—
875#61431—791nomaximal, Sylow
876C2×C79—22no—
877C2×C79—42no—
878C2×C79—41no—
879C2×C79—81no—
880C2×C79—81no—
881C2×C79D4×#4111yescharacteristic
882C2×C79C22×#13511yescharacteristic
883C2×C79C2×#57611yescharacteristic
884D79—22no—
885D79—42no—
886D79—81no—
887D79—81no—
888#3481—791no—
889#3481—791no—
890#3396—791no—
891#3380—791no—
892#3361—791no—
893#3361—791no—
894#3339—791no—
895#3339—791no—
896#3338—791no—
897#3297—791no—
898#3297—791no—
899#3297—791no—
900#3297D7911yescharacteristic, complemented
901#3295—791no—
902#3295—791no—
903#3280—791no—
904#3280—791no—
905D4×D8—791no—
906#3169—791no—
907#3168—791no—
908#3168—791no—
909#3106—791no—
910#3106—791no—
911#3105—791no—
912#3105—791no—
913#3105—791no—
914#3105—791no—
915C8×#41—791no—
916C4×#135—791no—
917C2×C4×D8—791no—
918C2×C4×D8—791no—
919C79#6143111yescharacteristic, complemented, Sylow
920C2×#135—791no—
921C22×D8—791no—
922C22×D8—791no—
923#559—791no—
924#559—791no—
925#554—791no—
926#554—791no—
927#554—791no—
928#554—791no—
929#553—791no—
930#553—791no—
931#553—791no—
932#553—1581no—
933#553—1581no—
934#553C2×D7911yescharacteristic, complemented
935#551—1581no—
936#551—1581no—
937#551—1581no—
938#551—1581no—
939#546—791no—
940#546—791no—
941#546—791no—
942#546—1581no—
943#546—1581no—
944#546C2×D7911yescharacteristic, complemented
945D42—791no—
946D42—791no—
947#532—791no—
948#532—791no—
949#529—791no—
950#529—791no—
951#529—791no—
952#529—791no—
953#529—1581no—
954#529—1581no—
955#525—1581no—
956#525—1581no—
957#525—1581no—
958#525—1581no—
959C4×#41—791no—
960C4×#41—791no—
961C4×#41—791no—
962C2×C4×D4—791no—
963C2×C4×D4—791no—
964C2×C4×D4—791no—
965C2×C4×D4—791no—
966C2×C4×D4—1581no—
967C2×C4×D4—1581no—
968#500—791no—
969#499—791no—
970#499—791no—
971#495—791no—
972#495—791no—
973#493—791no—
974#488—791no—
975#488—791no—
976#488—791no—
977#488C2×D7911yescharacteristic, complemented
978#486—791no—
979#486—791no—
980#484—791no—
981#484—791no—
982#484—791no—
983#484C2×D7911yescharacteristic, complemented
984#482—791no—
985#482—791no—
986#482—791no—
987#482C2×D7911yescharacteristic, complemented
988#481—791no—
989#481—791no—
990#481—791no—
991#481—791no—
992#478—791no—
993#478—791no—
994#478—791no—
995#478—791no—
996#478—791no—
997#478—791no—
998#478—791no—
999#478C2×D7911yescharacteristic, complemented
1000#477—791no—
1001#477—791no—
1002#476—791no—
1003#476—791no—
1004#467—791no—
1005#467—791no—
1006#466—791no—
1007#466—791no—
1008#466—791no—
1009#466—791no—
1010#466—791no—
1011#466C2×D7911yescharacteristic, complemented
1012#465—791no—
1013#465—791no—
1014#465—791no—
1015#465C2×D7911yescharacteristic, complemented
1016#463—791no—
1017#463—791no—
1018#463—791no—
1019#463—791no—
1020#463—791no—
1021#463—791no—
1022#463—791no—
1023#463C2×D7911yescharacteristic, complemented
1024#460—791no—
1025#460—791no—
1026#459—791no—
1027#459—791no—
1028#450—791no—
1029#450—791no—
1030#450—791no—
1031#450—791no—
1032#449—791no—
1033#449—791no—
1034#449—791no—
1035#449C2×D7911yescharacteristic, complemented
1036#447—791no—
1037#447—791no—
1038#447—791no—
1039#447C2×D7911yescharacteristic
1040C8×Q8—791no—
1041C8×Q8—791no—
1042C4×Q16—791no—
1043C4×Q16—791no—
1044C4×SD16—791no—
1045C4×SD16—791no—
1046C4×SD16—791no—
1047C4×SD16—791no—
1048C4×SD16—791no—
1049C4×SD16—791no—
1050C4×SD16—791no—
1051C4×SD16—791no—
1052C4×D8—791no—
1053C4×D8—791no—
1054C4×D8—791no—
1055C4×D8—791no—
1056C4×D8—791no—
1057C4×D8—791no—
1058C4×D8—791no—
1059C4×D8—791no—
1060C4×D8—791no—
1061C4×D8—791no—
1062C4×D8—791no—
1063C4×D8—791no—
1064C4×D8—791no—
1065C4×D8—791no—
1066C4×D8—791no—
1067C4×D8—791no—
1068C4×D8—791no—
1069C4×D8C2×D7911yescharacteristic, complemented
1070C8×D4—791no—
1071C8×D4—791no—
1072C8×D4—791no—
1073C8×D4—791no—
1074C8×D4—791no—
1075C8×D4C2×D7911yescharacteristic, complemented
1076#431—791no—
1077#431—791no—
1078#431—791no—
1079#427—791no—
1080C2×#107—791no—
1081C2×#107—791no—
1082#416—791no—
1083#416C2×D7911yescharacteristic, complemented
1084C2×#102—791no—
1085C2×#102—791no—
1086C2×#102—791no—
1087C2×#102C2×D7911yescharacteristic, complemented
1088C2×C4×C8—791no—
1089C2×C4×C8—791no—
1090C2×C4×C8—791no—
1091C2×#41—791no—
1092C2×#41—791no—
1093C2×#41—1581no—
1094C2×#41—1581no—
1095C2×#41C22×D7911yescharacteristic
1096C22×D4—791no—
1097C22×D4—791no—
1098C22×D4—791no—
1099C22×D4—1581no—
1100C22×D4—1581no—
1101C22×D4C22×D7911yescharacteristic
1102C23×C4—1581no—
1103C23×C4—1581no—
1104C23×C4—1581no—
1105C23×C4—1581no—
1106#135—1584no—
1107C2×Q16—791no—
1108C2×SD16—791no—
1109C2×SD16—791no—
1110C2×SD16—791no—
1111C2×SD16—791no—
1112C2×SD16—791no—
1113C2×SD16C22×D7911yescharacteristic
1114C2×D8—791no—
1115C2×D8—791no—
1116C2×D8—791no—
1117C2×D8—791no—
1118C2×D8—791no—
1119C2×D8—791no—
1120C2×D8—791no—
1121C2×D8—1584no—
1122C2×D8—1584no—
1123C2×D8C22×D7911yescharacteristic
1124C2×D8C22×D7911yescharacteristic
1125C22×C8—791no—
1126C22×C8—791no—
1127C22×C8—791no—
1128C22×C8—791no—
1129C22×C8C22×D7911yescharacteristic
1130C22×C8C22×D7911yescharacteristic
1131C4⋊Q8—791no—
1132C4⋊Q8—791no—
1133#127—791no—
1134#127—791no—
1135#126—21no—
1136#126—1581no—
1137#126—1581no—
1138#126—1581no—
1139#126—1581no—
1140#126—1581no—
1141#126—1581no—
1142#126—1581no—
1143#125—791no—
1144#125—791no—
1145#125—791no—
1146#125—1581no—
1147#125—1581no—
1148#125C22×D7911yescharacteristic
1149#124—791no—
1150#124—791no—
1151#124—791no—
1152#124—1581no—
1153#124—1581no—
1154#124—1581no—
1155#124—1581no—
1156#124C22×D7911yescharacteristic
1157#123—21no—
1158#123—21no—
1159#123—1581no—
1160#123—1581no—
1161#123—1581no—
1162#123—1581no—
1163#123—1581no—
1164#123—1581no—
1165#123—1581no—
1166#123—1581no—
1167#123—1581no—
1168#123—1581no—
1169#123—1581no—
1170#123—1581no—
1171#123—1581no—
1172#123—1581no—
1173C22⋊Q8—791no—
1174C22⋊Q8—791no—
1175C22⋊Q8—791no—
1176C22⋊Q8—1581no—
1177C22⋊Q8—1581no—
1178C22⋊Q8—1581no—
1179C22⋊Q8—1581no—
1180C22⋊Q8—1581no—
1181C22⋊Q8—1581no—
1182C22⋊Q8—1581no—
1183C22⋊Q8—1581no—
1184C22⋊Q8—1581no—
1185C22⋊Q8—1581no—
1186C22⋊Q8C22×D7911yescharacteristic
1187#121—21no—
1188#121—21no—
1189#121—791no—
1190#121—791no—
1191#121—791no—
1192#121—791no—
1193#121—791no—
1194#121—1581no—
1195#121—1581no—
1196#121—1581no—
1197#121—1581no—
1198#121—1581no—
1199#121—1581no—
1200#121—1581no—
1201#121—1581no—
1202#121—1581no—
1203#121—1581no—
1204#121C22×D7911yescharacteristic
1205#121C22×D7911yescharacteristic
1206#121C22×D7911yescharacteristic
1207#120—21no—
1208#120—1581no—
1209#120—1581no—
1210#120—1581no—
1211#120—1581no—
1212#120—1581no—
1213#120—1581no—
1214#120—1581no—
1215C4×Q8—791no—
1216C4×Q8—791no—
1217C4×Q8—791no—
1218C4×Q8—791no—
1219C4×Q8—791no—
1220C4×Q8—791no—
1221C4×D4—21no—
1222C4×D4—791no—
1223C4×D4—791no—
1224C4×D4—791no—
1225C4×D4—791no—
1226C4×D4—791no—
1227C4×D4—791no—
1228C4×D4—791no—
1229C4×D4—791no—
1230C4×D4—791no—
1231C4×D4—791no—
1232C4×D4—791no—
1233C4×D4—791no—
1234C4×D4—791no—
1235C4×D4—791no—
1236C4×D4—791no—
1237C4×D4—791no—
1238C4×D4—791no—
1239C4×D4—791no—
1240C4×D4—791no—
1241C4×D4—1581no—
1242C4×D4—1581no—
1243C4×D4—1581no—
1244C4×D4—1581no—
1245C4×D4—1581no—
1246C4×D4—1581no—
1247C4×D4—1581no—
1248C4×D4—1581no—
1249C4×D4—1581no—
1250C4×D4—1581no—
1251C4×D4—1581no—
1252C4×D4—1581no—
1253C4×D4—1581no—
1254C4×D4—1581no—
1255C4×D4—1581no—
1256C4×D4—1581no—
1257C4×D4—1581no—
1258C4×D4—1581no—
1259C4×D4—1581no—
1260C4×D4—1581no—
1261C4×D4—1581no—
1262C4×D4—1581no—
1263C4×D4—1581no—
1264C4×D4—1581no—
1265C4×D4—1581no—
1266C4×D4C22×D7911yescharacteristic
1267C4×D4C22×D7911yescharacteristic
1268C4×D4C22×D7911yescharacteristic
1269#117—791no—
1270#117—791no—
1271#117—791no—
1272#117—791no—
1273#117—1581no—
1274#117—1581no—
1275#117—1581no—
1276#117—1581no—
1277#117—1581no—
1278#117—1581no—
1279#117C22×D7911yescharacteristic
1280C2×C4⋊C4—791no—
1281C2×C4⋊C4—791no—
1282C2×C4⋊C4—791no—
1283C2×C4⋊C4—1581no—
1284C2×C4⋊C4—1581no—
1285C2×C4⋊C4C22×D7911yescharacteristic
1286C2×C22⋊C4—21no—
1287C2×C22⋊C4—1581no—
1288C2×C22⋊C4—1581no—
1289C2×C22⋊C4—1581no—
1290C2×C22⋊C4—1581no—
1291C2×C22⋊C4—1581no—
1292C2×C22⋊C4—1581no—
1293C2×C22⋊C4—1581no—
1294C2×C42—791no—
1295C2×C42—791no—
1296C2×C42—791no—
1297C2×C42—1581no—
1298C2×C42—1581no—
1299#107—791no—
1300#107—791no—
1301#107—791no—
1302#107—791no—
1303#107—791no—
1304#107—791no—
1305#107—791no—
1306#107—791no—
1307#107C22×D7911yescharacteristic
1308#107C22×D7911yescharacteristic
1309#106—791no—
1310#106—791no—
1311#106—791no—
1312#106—791no—
1313#106—791no—
1314#106C22×D7911yescharacteristic
1315C4⋊C8—791no—
1316C4⋊C8—791no—
1317C4⋊C8—791no—
1318C4⋊C8—791no—
1319C4⋊C8—791no—
1320C4⋊C8C22×D7911yescharacteristic
1321#103—791no—
1322#103—791no—
1323#103—791no—
1324#103—791no—
1325#103—791no—
1326#103C22×D7911yescharacteristic
1327#103C22×D7911yescharacteristic
1328#103C22×D7911yescharacteristic
1329#102—791no—
1330#102—791no—
1331#102—791no—
1332#102—791no—
1333#102—791no—
1334#102—791no—
1335#102—791no—
1336#102—791no—
1337#102—791no—
1338#102—791no—
1339#102—791no—
1340#102—791no—
1341#102—791no—
1342#102—791no—
1343#102—791no—
1344#102—791no—
1345#102—791no—
1346#102C22×D7911yescharacteristic
1347#102C22×D7911yescharacteristic
1348#102C22×D7911yescharacteristic
1349#102C22×D7911yescharacteristic
1350#102C22×D7911yescharacteristic
1351#102C22×D7911yescharacteristic
1352#102C22×D7911yescharacteristic
1353C22⋊C8—791no—
1354C22⋊C8—791no—
1355C22⋊C8—791no—
1356C22⋊C8—791no—
1357C22⋊C8C22×D7911yescharacteristic
1358C22⋊C8C22×D7911yescharacteristic
1359C4×C8—791no—
1360C4×C8—791no—
1361C4×C8—791no—
1362C4×C8—791no—
1363C4×C8—791no—
1364C4×C8—791no—
1365C4×C8—791no—
1366C4×C8—791no—
1367C4×C8—791no—
1368C4×C8C22×D7911yescharacteristic
1369C24—21no—
1370C24—1581no—
1371C24—1581no—
1372C24—1581no—
1373#41—22no—
1374#41—41no—
1375#41—3161no—
1376#41—6322no—
1377#41—6322no—
1378#41—1582no—
1379#41—1584no—
1380C2×Q8—791no—
1381C2×Q8—791no—
1382C2×Q8—1581no—
1383C2×Q8—1581no—
1384C2×Q8C23×D7911yescharacteristic
1385C2×D4—22no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—21no—
1391C2×D4—41no—
1392C2×D4—3161no—
1393C2×D4—3164no—
1394C2×D4—3164no—
1395C2×D4—3161no—
1396C2×D4—3161no—
1397C2×D4—791no—
1398C2×D4—791no—
1399C2×D4—791no—
1400C2×D4—791no—
1401C2×D4—791no—
1402C2×D4—1581no—
1403C2×D4—1582no—
1404C2×D4—1581no—
1405C2×D4—1581no—
1406C2×D4—1581no—
1407C2×D4—1581no—
1408C2×D4—1581no—
1409C2×D4—1581no—
1410C2×D4—1582no—
1411C2×D4—1581no—
1412C2×D4—1581no—
1413C2×D4—1581no—
1414C2×D4—1582no—
1415C2×D4—1581no—
1416C2×D4—1581no—
1417C2×D4—1581no—
1418C2×D4D4×D7911yescharacteristic
1419C2×D4C23×D7911yescharacteristic
1420C2×D4C23×D7911yescharacteristic
1421C2×D4C23×D7911yescharacteristic
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—21no—
1426C22×C4—791no—
1427C22×C4—791no—
1428C22×C4—791no—
1429C22×C4—791no—
1430C22×C4—791no—
1431C22×C4—791no—
1432C22×C4—791no—
1433C22×C4—6322no—
1434C22×C4—6322no—
1435C22×C4—6322no—
1436C22×C4—6322no—
1437C22×C4—1581no—
1438C22×C4—1581no—
1439C22×C4—1581no—
1440C22×C4—1581no—
1441C22×C4—1581no—
1442C22×C4—1581no—
1443C22×C4—1581no—
1444C22×C4—1581no—
1445C22×C4—1581no—
1446C22×C4—1581no—
1447C22×C4—1581no—
1448C22×C4—1581no—
1449C22×C4—1581no—
1450C22×C4—1581no—
1451C22×C4—1581no—
1452C22×C4—1581no—
1453C22×C4—1581no—
1454C22×C4—1581no—
1455C22×C4C23×D7911yescharacteristic
1456C22×C4C23×D7911yescharacteristic
1457Q16—1582no—
1458SD16—41no—
1459SD16—3161no—
1460SD16—3161no—
1461SD16—3161no—
1462SD16—1582no—
1463SD16—1582no—
1464D8—22no—
1465D8—41no—
1466D8—3161no—
1467D8—794no—
1468D8—1582no—
1469D8—1582no—
1470D8—1582no—
1471D8—1582no—
1472D8—1582no—
1473C2×C8—41no—
1474C2×C8—41no—
1475C2×C8—3161no—
1476C2×C8—791no—
1477C2×C8—791no—
1478C2×C8—791no—
1479C2×C8—791no—
1480C2×C8—1582no—
1481C2×C8—1582no—
1482C2×C8—1582no—
1483C2×C8C23×D7911yescharacteristic
1484C2×C8C23×D7911yescharacteristic
1485C2×C8C23×D7911yescharacteristic
1486C2×C8C23×D7911yescharacteristic
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—791no—
1492C4⋊C4—791no—
1493C4⋊C4—791no—
1494C4⋊C4—791no—
1495C4⋊C4—791no—
1496C4⋊C4—791no—
1497C4⋊C4—791no—
1498C4⋊C4—791no—
1499C4⋊C4—791no—
1500C4⋊C4—1581no—
1501C4⋊C4—1581no—
1502C4⋊C4—1581no—
1503C4⋊C4—1581no—
1504C4⋊C4—1581no—
1505C4⋊C4—1581no—
1506C4⋊C4—1581no—
1507C4⋊C4—1581no—
1508C4⋊C4—1581no—
1509C4⋊C4—1581no—
1510C4⋊C4—1581no—
1511C4⋊C4—1581no—
1512C4⋊C4—1581no—
1513C4⋊C4—1581no—
1514C4⋊C4—1581no—
1515C4⋊C4—1581no—
1516C4⋊C4—1581no—
1517C4⋊C4—1581no—
1518C4⋊C4D4×D7911yescharacteristic
1519C4⋊C4C23×D7911yescharacteristic
1520C4⋊C4C23×D7911yescharacteristic
1521C4⋊C4C23×D7911yescharacteristic
1522C4⋊C4C23×D7911yescharacteristic
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—791no—
1533C22⋊C4—791no—
1534C22⋊C4—791no—
1535C22⋊C4—791no—
1536C22⋊C4—1581no—
1537C22⋊C4—1581no—
1538C22⋊C4—1581no—
1539C22⋊C4—1581no—
1540C22⋊C4—1581no—
1541C22⋊C4—1581no—
1542C22⋊C4—1581no—
1543C22⋊C4—1581no—
1544C22⋊C4—1581no—
1545C22⋊C4—1581no—
1546C22⋊C4—1581no—
1547C22⋊C4—1581no—
1548C22⋊C4—1581no—
1549C22⋊C4—1581no—
1550C22⋊C4—1581no—
1551C22⋊C4—1581no—
1552C22⋊C4—1581no—
1553C22⋊C4—1581no—
1554C22⋊C4—1581no—
1555C22⋊C4—1581no—
1556C22⋊C4—1581no—
1557C22⋊C4—1581no—
1558C22⋊C4—1581no—
1559C22⋊C4—1581no—
1560C22⋊C4—1581no—
1561C22⋊C4—1581no—
1562C22⋊C4—1581no—
1563C22⋊C4—1581no—
1564C22⋊C4—1581no—
1565C22⋊C4D4×D7911yescharacteristic
1566C22⋊C4D4×D7911yescharacteristic
1567C42—21no—
1568C42—791no—
1569C42—791no—
1570C42—791no—
1571C42—791no—
1572C42—791no—
1573C42—791no—
1574C42—791no—
1575C42—791no—
1576C42—791no—
1577C42—1581no—
1578C42—1581no—
1579C42—1581no—
1580C42—1581no—
1581C42—1581no—
1582C42C23×D7911yescharacteristic
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—42no—
1587C23—42no—
1588C23—81no—
1589C23—3162no—
1590C23—3162no—
1591C23—3162no—
1592C23—3162no—
1593C23—3162no—
1594C23—3162no—
1595C23—791no—
1596C23—6321no—
1597C23—6321no—
1598C23—6321no—
1599C23—1581no—
1600C23—1581no—
1601C23—1581no—
1602C23C2×D4×D7911yescharacteristic
1603C23C2×D4×D7911yescharacteristic
1604Q8—21no—
1605Q8—21no—
1606Q8—6321no—
1607Q8—6321no—
1608Q8—1582no—
1609Q8—1581no—
1610Q8—1581no—
1611D4—22no—
1612D4—21no—
1613D4—21no—
1614D4—21no—
1615D4—21no—
1616D4—21no—
1617D4—42no—
1618D4—42no—
1619D4—42no—
1620D4—81no—
1621D4—81no—
1622D4—3162no—
1623D4—3162no—
1624D4—3162no—
1625D4—3162no—
1626D4—3162no—
1627D4—3162no—
1628D4—3162no—
1629D4—3162no—
1630D4—3162no—
1631D4—794no—
1632D4—792no—
1633D4—6321no—
1634D4—6321no—
1635D4—6321no—
1636D4—6321no—
1637D4—1582no—
1638D4—1581no—
1639D4—1581no—
1640D4—1581no—
1641D4—1581no—
1642D4—1581no—
1643D4#41×D7912yes—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—42no—
1654C2×C4—81no—
1655C2×C4—81no—
1656C2×C4—81no—
1657C2×C4—3162no—
1658C2×C4—3162no—
1659C2×C4—3162no—
1660C2×C4—3162no—
1661C2×C4—3162no—
1662C2×C4—3162no—
1663C2×C4—3162no—
1664C2×C4—3162no—
1665C2×C4—3162no—
1666C2×C4—791no—
1667C2×C4—791no—
1668C2×C4—791no—
1669C2×C4—791no—
1670C2×C4—791no—
1671C2×C4—791no—
1672C2×C4—791no—
1673C2×C4—6321no—
1674C2×C4—6321no—
1675C2×C4—6321no—
1676C2×C4—6321no—
1677C2×C4—6321no—
1678C2×C4—6321no—
1679C2×C4—6321no—
1680C2×C4—6321no—
1681C2×C4—6321no—
1682C2×C4—1582no—
1683C2×C4—1582no—
1684C2×C4—1581no—
1685C2×C4—1581no—
1686C2×C4—1581no—
1687C2×C4—1581no—
1688C2×C4—1581no—
1689C2×C4—1582no—
1690C2×C4—1582no—
1691C2×C4—1582no—
1692C2×C4—1582no—
1693C2×C4—1581no—
1694C2×C4—1581no—
1695C2×C4C2×D4×D7911yescharacteristic
1696C2×C4C2×D4×D7911yescharacteristic
1697C2×C4C2×D4×D7911yescharacteristic
1698C2×C4C2×D4×D7911yescharacteristic
1699C2×C4C24×D7911yescharacteristic
1700C8—21no—
1701C8—21no—
1702C8—21no—
1703C8—21no—
1704C8—792no—
1705C8—1581no—
1706C8—1581no—
1707C8—1581no—
1708C22—21no—
1709C22—21no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—22no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—84no—
1723C22—3161no—
1724C22—3161no—
1725C22—3161no—
1726C22—3161no—
1727C22—3161no—
1728C22—3161no—
1729C22—3161no—
1730C22—3161no—
1731C22—792no—
1732C22—6324no—
1733C22—6324no—
1734C22—6324no—
1735C22—1582no—
1736C22—1581no—
1737C22—1581no—
1738C22#135×D7912yes—
1739C22C22×D4×D7911yescharacteristic
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—3161no—
1750C4—3161no—
1751C4—3161no—
1752C4—3161no—
1753C4—3161no—
1754C4—792no—
1755C4—792no—
1756C4—1581no—
1757C4—1581no—
1758C4—1581no—
1759C4—1581no—
1760C4—1581no—
1761C4C2×#41×D7911yescharacteristic
1762C4#1909939811yescharacteristic
1763C2—22no—
1764C2—41no—
1765C2—42no—
1766C2—81no—
1767C2—81no—
1768C2—3162no—
1769C2—6321no—
1770C2—6321no—
1771C2—1582no—
1772C2#2377688411yescharacteristic
1773C2C2×#135×D7911yescharacteristic
1774C2#576×D7911yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3297C2
socleC22×C79C23×D4
hypercenter#3297D79
hypocenterC79#61431
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3297

Complements

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

NH ≅ G/Ntype
1. #23777007C2semidirect
2. #23777005C2semidirect
3. #23776407C2semidirect
4. #23776262C2semidirect
5. #23776061C2semidirect
6. #23776057C2semidirect
7. #23775796C2semidirect
8. #23775795C2semidirect
9. #23775787C2semidirect
10. #23775252C2semidirect
11. #23775251C2semidirect
12. #23775245C2semidirect
13. #23775220C2semidirect
14. #23775219C2semidirect
15. #23775083C2semidirect
16. #23775081C2semidirect
17. #23775070C2semidirect
18. #23773974C2semidirect
19. #23773969C2semidirect
20. #23773963C2semidirect
21. #23773455C2semidirect
22. #23773453C2semidirect
23. #23773452C2semidirect
24. #23773450C2semidirect
25. #23773446C2semidirect
26. #23773442C2semidirect
27. C8×#11929623C2semidirect
28. #23772168C2semidirect
29. C2×#19098643C2semidirect
30. C4×D8×D79C2semidirect
31. C79×#3297C2semidirect
35. #19099296C22semidirect
36. #19099295C22semidirect
37. #19099272C22semidirect
39. #19099269C22semidirect
41. #19099260C22semidirect
42. #19099259C22semidirect
44. #19099257C22semidirect
50. #19099210C22semidirect
51. #19099209C22semidirect
53. #19099201C22semidirect
57. #19099108C22semidirect
58. #19099108C22semidirect
59. #19099099C22semidirect
60. #19099098C22semidirect
62. #19099094C22semidirect
63. #19099092C22semidirect
69. #41×Dic79C22semidirect
70. #19099031C22semidirect
72. C2×D4×Dic79C22semidirect
73. C2×#14579123C22semidirect
76. C4×D4×D79C22semidirect
77. C4×D4×D79C22semidirect
78. #19098967C22semidirect
79. #19098963C22semidirect
80. #19098962C22semidirect
81. #19098945C22semidirect
82. #19098944C22semidirect
84. #19098919C22semidirect
85. #19098918C22semidirect
86. #19098916C22semidirect
87. #19098908C22semidirect
88. #19098908C22semidirect
89. #19098900C22semidirect
90. #19098899C22semidirect
91. #19098897C22semidirect
92. #19098888C22semidirect
93. #19098887C22semidirect
94. #19098884C22semidirect
95. #19098883C22semidirect
96. #19098881C22semidirect
97. #19098880C22semidirect
98. #19098879C22semidirect
99. #19098866C22semidirect
100. #19098866C22semidirect
101. #19098864C22semidirect
102. #19098863C22semidirect
103. #19098861C22semidirect
104. #19098861C22semidirect
105. #19098860C22semidirect
106. #19098857C22semidirect
107. #19098856C22semidirect
108. #19098852C22semidirect
109. #19098851C22semidirect
110. #19098803C22semidirect
111. #19098802C22semidirect
112. #19098799C22semidirect
115. #19098797C22semidirect
116. #19098797C22semidirect
117. #19098795C22semidirect
118. #19098792C22semidirect
119. #19098791C22semidirect
120. #19098781C22semidirect
121. #19098781C22semidirect
122. #19098779C22semidirect
123. #19098778C22semidirect
124. #19098776C22semidirect
125. #19098776C22semidirect
126. #19098775C22semidirect
127. #19098762C22semidirect
128. #19098761C22semidirect
131. #19098715C22semidirect
132. #19098714C22semidirect
133. #19098713C22semidirect
134. #19098712C22semidirect
135. #19098710C22semidirect
136. #19098708C22semidirect
137. #19098706C22semidirect
141. C8×Dic158C22semidirect
142. #19098687C22semidirect
143. #19098655C22semidirect
144. #19098655C22semidirect
145. #19098654C22semidirect
146. #19098654C22semidirect
147. #19098654C22semidirect
148. SD16×Dic79C22semidirect
149. #19098650C22semidirect
150. #19098648C22semidirect
151. #19098648C22semidirect
152. #19098648C22semidirect
153. C4×D632C22semidirect
154. D8×Dic79C22semidirect
155. D8×Dic79C22semidirect
156. #19098645C22semidirect
157. #19098645C22semidirect
159. C4×#11929609C22semidirect
163. #19098643C22semidirect
164. #19098643C22semidirect
165. #19098643C22semidirect
166. #19098643C22semidirect
167. #19098643C22semidirect
168. #19098643C22semidirect
169. #19098643C22semidirect
170. D4×C79⋊C8C22semidirect
172. C8×C22⋊D79C22semidirect
174. (C22⋊D79)⋊C8C22semidirect
175. #19098615C22semidirect
176. #19098613C22semidirect
177. #19098613C22semidirect
178. #19098599C22semidirect
179. C2×#14579094C22semidirect
180. #107×D79C22semidirect
181. #19098560C22semidirect
182. C2×#14579083C22semidirect
183. #102×D79C22semidirect
184. #102×D79C22semidirect
185. C2×C8×Dic79C22semidirect
186. C2×C8×Dic79C22semidirect
187. C4×C8×D79C22semidirect
188. #553×C79C22semidirect
189. #546×C79C22semidirect
190. #488×C79C22semidirect
191. #484×C79C22semidirect
192. #482×C79C22semidirect
193. #478×C79C22semidirect
194. #466×C79C22semidirect
195. #465×C79C22semidirect
196. #463×C79C22semidirect
197. #449×C79C22semidirect
199. C4×D8×C79C22semidirect
200. C8×D4×C79C22semidirect
201. #416×C79C22semidirect
202. C2×#102×C79C22semidirect
560. #11929609#41semidirect
760. C22⋊D79#135semidirect
900. #3297D79semidirect
919. C79#61431semidirect
934. #553C2×D79semidirect
944. #546C2×D79semidirect
977. #488C2×D79semidirect
983. #484C2×D79semidirect
987. #482C2×D79semidirect
999. #478C2×D79semidirect
1011. #466C2×D79semidirect
1015. #465C2×D79semidirect
1023. #463C2×D79semidirect
1035. #449C2×D79semidirect
1069. C4×D8C2×D79semidirect
1075. C8×D4C2×D79semidirect
1083. #416C2×D79semidirect
1087. C2×#102C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237770072
#237770052
#237764072
#237762622
#237760612
#237760572
#237757962
#237757952
#237757872
#237752522
#237752512
#237752452
#237752202
#237752192
#237750832
#237750812
#237750702
#237739742
#237739692
#237739632
#237734552
#237734532
#237734522
#237734502
#237734462
#237734422
C8×#119296232
#237721682
C2×#190986432
C4×D8×D792
C79×#32972
#6143179