Finite Group Databasebeta

← #35169762

Subgroups — #35169762

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#23777006C211yesmaximal, characteristic, complemented
2#23777004C211yesmaximal, characteristic, complemented
3#23776407C211yesmaximal, characteristic, complemented
4#23776262C211yesmaximal, characteristic, complemented
5#23776063C211yesmaximal, characteristic, complemented
6#23776055C211yesmaximal, characteristic, complemented
7#23775800C211yesmaximal, characteristic, complemented
8#23775799C211yesmaximal, characteristic, complemented
9#23775787C211yesmaximal, characteristic, complemented
10#23775257C211yesmaximal, characteristic, complemented
11#23775254C211yesmaximal, characteristic, complemented
12#23775248C211yesmaximal, characteristic, complemented
13#23775247C211yesmaximal, characteristic, complemented
14#23775222C211yesmaximal, characteristic, complemented
15#23775217C211yesmaximal, characteristic, complemented
16#23775080C211yesmaximal, characteristic, complemented
17#23775078C211yesmaximal, characteristic, complemented
18#23775070C211yesmaximal, characteristic, complemented
19#23773976C211yesmaximal, characteristic, complemented
20#23773966C211yesmaximal, characteristic, complemented
21#23773964C211yesmaximal, characteristic, complemented
22#23773458C211yesmaximal, characteristic, complemented
23#23773456C211yesmaximal, characteristic, complemented
24#23773451C211yesmaximal, characteristic, complemented
25#23773449C211yesmaximal, characteristic, complemented
26#23773445C211yesmaximal, characteristic, complemented
27#23772356C211yesmaximal, characteristic, complemented
28C4×#14579182C211yesmaximal, characteristic, complemented
29C2×C4×#11929609C211yesmaximal, characteristic, complemented
30C4×D8×D79C211yesmaximal, characteristic, complemented
31C79×#3105C211yesmaximal, characteristic, complemented
32C2×#14579182C2211yescharacteristic
33C22×#11929609C2211yescharacteristic
34C2×D8×D79C2211yescharacteristic
35#19099296C2211yescharacteristic, complemented
36#19099295C2211yescharacteristic, complemented
37#19099272C2211yescharacteristic, complemented
38#19099271C2211yescharacteristic
39#19099269C2211yescharacteristic, complemented
40#19099268C2211yescharacteristic
41#19099266C2211yescharacteristic, complemented
42#19099265C2211yescharacteristic, complemented
43#19099264—21no—
44#19099263C2211yescharacteristic, complemented
45#19099262—21no—
46#19099261C2211yescharacteristic, complemented
47#19099242—21no—
48#19099239—21no—
49#19099238—21no—
50#19099236—21no—
51#19099208C2211yescharacteristic, complemented
52#19099207C2211yescharacteristic, complemented
53#19099206C2211yescharacteristic, complemented
54#19099205—21no—
55#19099204C2211yescharacteristic, complemented
56#19099203—21no—
57#19099197C2211yescharacteristic
58D4×C22⋊D79C2211yescharacteristic
59#19099110C2211yescharacteristic, complemented
60#19099110C2211yescharacteristic, complemented
61#19099100C2211yescharacteristic, complemented
62#19099097C2211yescharacteristic, complemented
63#19099095C2211yescharacteristic, complemented
64#19099093—21no—
65#19099091—21no—
66#19099075—21no—
67#19099074—21no—
68#19099072—21no—
69#19099072—21no—
70C4×#11929625C2211yescharacteristic, complemented
71C4×#11929624C2211yescharacteristic
72C4×#11929623C2211yescharacteristic, complemented
73C2×C4×D316C2211yescharacteristic, complemented
74C2×C4×C22⋊D79—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#19098920C2211yescharacteristic, complemented
85#19098919C2211yescharacteristic, complemented
86#19098917C2211yescharacteristic, complemented
87#19098916C2211yescharacteristic, complemented
88#19098908C2211yescharacteristic, complemented
89#19098908C2211yescharacteristic, complemented
90#19098900C2211yescharacteristic, complemented
91#19098899C2211yescharacteristic, complemented
92#19098897C2211yescharacteristic, complemented
93#19098890C2211yescharacteristic, complemented
94#19098889C2211yescharacteristic, complemented
95#19098886C2211yescharacteristic, complemented
96#19098885C2211yescharacteristic, complemented
97#19098883C2211yescharacteristic, complemented
98#19098882C2211yescharacteristic, complemented
99#19098880C2211yescharacteristic, complemented
100#19098866C2211yescharacteristic, complemented
101#19098865C2211yescharacteristic, complemented
102#19098864C2211yescharacteristic, complemented
103#19098864C2211yescharacteristic, complemented
104#19098862C2211yescharacteristic, complemented
105#19098861C2211yescharacteristic, complemented
106#19098857C2211yescharacteristic, complemented
107#19098856C2211yescharacteristic, complemented
108#19098852C2211yescharacteristic, complemented
109#19098851C2211yescharacteristic, complemented
110#19098803C2211yescharacteristic, complemented
111#19098802C2211yescharacteristic, complemented
112#19098800C2211yescharacteristic, complemented
113#19098798C2211yescharacteristic
114#19098798C2211yescharacteristic, complemented
115#19098798C2211yescharacteristic, complemented
116#19098797C2211yescharacteristic
117#19098796C2211yescharacteristic, complemented
118#19098794C2211yescharacteristic, complemented
119#19098793C2211yescharacteristic, complemented
120#19098790C2211yescharacteristic, complemented
121#19098789C2211yescharacteristic, complemented
122#19098781C2211yescharacteristic, complemented
123#19098780C2211yescharacteristic, complemented
124#19098779C2211yescharacteristic, complemented
125#19098779C2211yescharacteristic, complemented
126#19098777C2211yescharacteristic, complemented
127#19098776C2211yescharacteristic, complemented
128#19098762C2211yescharacteristic, complemented
129#19098761C2211yescharacteristic, complemented
130#19098757C2211yescharacteristic
131#19098756C2211yescharacteristic
132#19098716C2211yescharacteristic, complemented
133#19098715C2211yescharacteristic, complemented
134#19098712C2211yescharacteristic, complemented
135#19098711C2211yescharacteristic, complemented
136#19098709C2211yescharacteristic, complemented
137#19098707C2211yescharacteristic, complemented
138#19098705C2211yescharacteristic, complemented
139#19098699C2211yescharacteristic
140#19098698C2211yescharacteristic
141#19098695C2211yescharacteristic
142#19098687C2211yescharacteristic, complemented
143#19098687C2211yescharacteristic, complemented
144C4×#11929614C2211yescharacteristic, complemented
145#19098655C2211yescharacteristic, complemented
146C4×#11929613C2211yescharacteristic, complemented
147C4×#11929613C2211yescharacteristic, complemented
148SD16×Dic79C2211yescharacteristic, complemented
149C4×#11929611C2211yescharacteristic, complemented
150#19098650C2211yescharacteristic, complemented
151C4×#11929612C2211yescharacteristic, complemented
152C4×D632C2211yescharacteristic, complemented
153C4×D632C2211yescharacteristic, complemented
154D8×Dic79C2211yescharacteristic, complemented
155#19098645C2211yescharacteristic, complemented
156C4×#11929609C2211yescharacteristic
157C4×#11929609C2211yescharacteristic
158C4×#11929609C2211yescharacteristic, complemented
159C4×#11929609C2211yescharacteristic, complemented
160C4×#11929609C2211yescharacteristic, complemented
161C4×#11929609C2211yescharacteristic, complemented
162C4×#11929609C2211yescharacteristic, complemented
163C4×#11929609C2211yescharacteristic, complemented
164C4×#11929609C2211yescharacteristic, complemented
165#19098643C2211yescharacteristic
166#19098643C2211yescharacteristic
167#19098643C2211yescharacteristic, complemented
168#19098628C2211yescharacteristic, complemented
169#19098628C2211yescharacteristic, complemented
170(C22⋊D79)⋊C8C2211yescharacteristic
171(C22⋊D79)⋊C8C2211yescharacteristic
172(C22⋊D79)⋊C8C2211yescharacteristic, complemented
173(C22⋊D79)⋊C8C2211yescharacteristic, complemented
174#19098614C2211yescharacteristic, complemented
175#19098614C2211yescharacteristic, complemented
176#19098598C2211yescharacteristic, complemented
177C2×#14579094C2211yescharacteristic, complemented
178#107×D79C2211yescharacteristic, complemented
179#19098558C2211yescharacteristic, complemented
180#19098556C2211yescharacteristic, complemented
181C2×#14579082C2211yescharacteristic, complemented
182C2×#14579081C2211yescharacteristic, complemented
183#102×D79C2211yescharacteristic, complemented
184#102×D79C2211yescharacteristic, complemented
185C2×C4×C79⋊C8C2211yescharacteristic, complemented
186C4×C8×D79C2211yescharacteristic, complemented
187C4×C8×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×#11929624—21no—
206C2×#11929624D411yescharacteristic
207C2×#11929623C2311yescharacteristic
208C22×D316C2311yescharacteristic
209C22×C22⋊D79—21no—
210C2×D4×D79—21no—
211C2×D4×D79C2311yescharacteristic
212C2×D4×D79C2311yescharacteristic
213C22×C4×D79—21no—
214C22×C4×D79—21no—
215C22×C4×D79—21no—
216#14579182—24no—
217C2×#11929614C2311yescharacteristic
218C2×#11929613C2311yescharacteristic
219C2×#11929613C2311yescharacteristic
220C2×#11929612C2311yescharacteristic
221C2×#11929611C2311yescharacteristic
222C2×D632C2311yescharacteristic
223C2×D632C2311yescharacteristic
224C2×#11929609—24no—
225C2×#11929609C2311yescharacteristic
226C2×#11929609C2311yescharacteristic
227C2×#11929609C2311yescharacteristic
228C2×#11929609C2311yescharacteristic
229C2×#11929609C2311yescharacteristic
230D8×D79—24no—
231C22×C79⋊C8C2311yescharacteristic
232C22×C79⋊C8C2311yescharacteristic
233C2×C8×D79C2311yescharacteristic
234C2×C8×D79C2311yescharacteristic
235C2×C8×D79C2311yescharacteristic
236C2×C8×D79C2311yescharacteristic
237#14579160C2311yescharacteristic
238#14579160C2311yescharacteristic
239#14579157C2311yescharacteristic
240#14579157C2311yescharacteristic
241#14579156—21no—
242#14579156—21no—
243#14579156—21no—
244#14579155—21no—
245#14579154—21no—
246#14579154—21no—
247#14579154—21no—
248#14579153C2311yescharacteristic
249#14579152C2311yescharacteristic
250#14579152C2311yescharacteristic
251#14579151—21no—
252#14579151—21no—
253#14579150C2311yescharacteristic
254#14579149C2311yescharacteristic
255#14579148C2311yescharacteristic
256#14579147—21no—
257#14579147—21no—
258#14579147—21no—
259#14579147—21no—
260#14579146—21no—
261#14579146—21no—
262#14579146—21no—
263#14579146—21no—
264#14579145—21no—
265#14579145—21no—
266#14579145—21no—
267#14579144—21no—
268#14579144—21no—
269#14579144—21no—
270#14579143—21no—
271#14579143—21no—
272#14579143—21no—
273#14579143—21no—
274#14579142—21no—
275#14579141—21no—
276#14579141—21no—
277#14579141C2311yescharacteristic
278#14579140—21no—
279#14579140—21no—
280#14579140C2311yescharacteristic
281#14579139—21no—
282#14579139—21no—
283#14579139—21no—
284#14579138—21no—
285#14579138—21no—
286#14579138—21no—
287#14579137C2311yescharacteristic
288#14579136—21no—
289#14579136—21no—
290#14579136C2311yescharacteristic
291#14579136C2311yescharacteristic
292#14579136C2311yescharacteristic
293#14579135—21no—
294#14579135—21no—
295#14579135C2311yescharacteristic
296#14579134—21no—
297#14579134—21no—
298#14579134—21no—
299#14579134—21no—
300#14579134—21no—
301#14579133—21no—
302#14579133—21no—
303#14579133—21no—
304#14579132C2311yescharacteristic
305#14579132C2311yescharacteristic
306#14579132C2311yescharacteristic
307#14579131—21no—
308#14579131—21no—
309#14579131—21no—
310#14579131—21no—
311#14579130—21no—
312#14579130—21no—
313#14579129—21no—
314#14579129—21no—
315Q8×Dic79C2311yescharacteristic
316C4×Dic158D411yescharacteristic
317C4×Dic158C2311yescharacteristic
318C4×Dic158C2311yescharacteristic
319#14579126C2311yescharacteristic
320C4×D316—21no—
321C4×D316—21no—
322C4×D316—21no—
323C4×D316—21no—
324C4×D316D411yescharacteristic
325C4×D316C2311yescharacteristic
326C4×D316C2311yescharacteristic
327C4×D316C2311yescharacteristic
328C4×D316C2311yescharacteristic
329C4×D316C2311yescharacteristic
330C4×D316C2311yescharacteristic
331D4×Dic79—21no—
332D4×Dic79C2311yescharacteristic
333D4×Dic79C2311yescharacteristic
334D4×Dic79C2311yescharacteristic
335#14579123—21no—
336#14579123—21no—
337#14579123C2311yescharacteristic
338#14579123C2311yescharacteristic
339#14579123C2311yescharacteristic
340C4×C22⋊D79—21no—
341C4×C22⋊D79—21no—
342C4×C22⋊D79—21no—
343C4×C22⋊D79—21no—
344C4×C22⋊D79—21no—
345C4×C22⋊D79—21no—
346C4×C22⋊D79—21no—
347C4×C22⋊D79—21no—
348C4×C22⋊D79—21no—
349C4×C22⋊D79—21no—
350C4×C22⋊D79—21no—
351C4×C22⋊D79D411yescharacteristic
352C4×C22⋊D79D411yescharacteristic
353C4×C22⋊D79C2311yescharacteristic
354C4×C22⋊D79C2311yescharacteristic
355(C22⋊D79)⋊C4—21no—
356(C22⋊D79)⋊C4—21no—
357(C22⋊D79)⋊C4—21no—
358(C22⋊D79)⋊C4—21no—
359(C22⋊D79)⋊C4—21no—
360#14579120—21no—
361#14579120D411yescharacteristic
362#14579119—21no—
363#14579119C2311yescharacteristic
364#14579119C2311yescharacteristic
365#14579118—21no—
366#14579118—21no—
367#14579118D411yescharacteristic
368#14579118D411yescharacteristic
369#14579117—21no—
370C2×C4⋊Dic79C2311yescharacteristic
371C2×Dic79⋊C4—21no—
372C4⋊C4×D79—21no—
373C4⋊C4×D79C2311yescharacteristic
374C4⋊C4×D79C2311yescharacteristic
375C2×C22⋊Dic79—21no—
376C2×(C2×D79)⋊C4—21no—
377C2×(C2×D79)⋊C4—21no—
378C22⋊C4×D79—21no—
379C22⋊C4×D79—21no—
380C22⋊C4×D79—21no—
381C22⋊C4×D79—21no—
382C2×C4×Dic79—21no—
383C42×D79—21no—
384C42×D79C2311yescharacteristic
385C42×D79C2311yescharacteristic
386#14579095C2311yescharacteristic
387#14579095C2311yescharacteristic
388#14579094C2311yescharacteristic
389#14579094C2311yescharacteristic
390#14579094C2311yescharacteristic
391#14579094C2311yescharacteristic
392#14579094C2311yescharacteristic
393#14579094C2311yescharacteristic
394#14579093C2311yescharacteristic
395#14579093C2311yescharacteristic
396#14579092C2311yescharacteristic
397#14579092C2311yescharacteristic
398Dic79⋊C8C2311yescharacteristic
399Dic79⋊C8C2311yescharacteristic
400Dic79⋊C8C2311yescharacteristic
401Dic79⋊C8C2311yescharacteristic
402#14579086C2311yescharacteristic
403#14579086C2311yescharacteristic
404#14579085C2311yescharacteristic
405#14579085C2311yescharacteristic
406#14579084C2311yescharacteristic
407#14579084C2311yescharacteristic
408#14579083C2311yescharacteristic
409#14579083C2311yescharacteristic
410#14579083C2311yescharacteristic
411#14579083C2311yescharacteristic
412#14579083C2311yescharacteristic
413#14579083C2311yescharacteristic
414#14579082C2311yescharacteristic
415#14579082C2311yescharacteristic
416#14579082C2311yescharacteristic
417#14579082C2311yescharacteristic
418#14579082C2311yescharacteristic
419#14579082C2311yescharacteristic
420#14579081C2311yescharacteristic
421#14579081C2311yescharacteristic
422#14579081C2311yescharacteristic
423#14579081C2311yescharacteristic
424#14579081C2311yescharacteristic
425#14579081C2311yescharacteristic
426(C2×D79)⋊C8C2311yescharacteristic
427(C2×D79)⋊C8C2311yescharacteristic
428(C2×D79)⋊C8C2311yescharacteristic
429(C2×D79)⋊C8C2311yescharacteristic
430C4×C79⋊C8C2311yescharacteristic
431C4×C79⋊C8C2311yescharacteristic
432C4×C79⋊C8C2311yescharacteristic
433C4×C79⋊C8C2311yescharacteristic
434C8×Dic79C2311yescharacteristic
435C8×Dic79C2311yescharacteristic
436C8×Dic79C2311yescharacteristic
437C8×Dic79C2311yescharacteristic
438C22×D4×C79C2311yescharacteristic
439C23×C4×C79—21no—
440C2×SD16×C79C2311yescharacteristic
441C2×SD16×C79C2311yescharacteristic
442C2×D8×C79C2311yescharacteristic
443C2×D8×C79C2311yescharacteristic
444#126×C79—21no—
445#125×C79C2311yescharacteristic
446#124×C79C2311yescharacteristic
447#123×C79—21no—
448C22⋊Q8×C79C2311yescharacteristic
449#121×C79C2311yescharacteristic
450C4×Q8×C79C2311yescharacteristic
451C4×D4×C79—21no—
452C4×D4×C79—21no—
453C4×D4×C79—21no—
454C4×D4×C79C2311yescharacteristic
455C4×D4×C79C2311yescharacteristic
456C4×D4×C79C2311yescharacteristic
457C4×D4×C79C2311yescharacteristic
458C4×D4×C79C2311yescharacteristic
459#117×C79—21no—
460C2×C4⋊C4×C79C2311yescharacteristic
461C2×C22⋊C4×C79—21no—
462C2×C42×C79C2311yescharacteristic
463#107×C79C2311yescharacteristic
464#107×C79C2311yescharacteristic
465#106×C79C2311yescharacteristic
466#106×C79C2311yescharacteristic
467C4⋊C8×C79C2311yescharacteristic
468C4⋊C8×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
477C22⋊C8×C79C2311yescharacteristic
478C22⋊C8×C79C2311yescharacteristic
479C4×C8×C79C2311yescharacteristic
480C4×C8×C79C2311yescharacteristic
481C23×D79—21no—
482C23×D79—21no—
483C23×D79—21no—
484#11929625—22no—
485#11929625—41no—
486#11929624—24no—
487#11929624—82no—
488#11929624—82no—
489#11929623—22no—
490#11929623—41no—
491C2×Dic158—21no—
492C2×Dic158—21no—
493C2×Dic158C2×D411yescharacteristic
494C2×Dic158C2411yescharacteristic
495C2×D316—21no—
496C2×D316—21no—
497C2×D316—21no—
498C2×D316—21no—
499C2×D316—22no—
500C2×D316—21no—
501C2×D316—41no—
502C2×D316C2×D411yescharacteristic
503C2×D316C2411yescharacteristic
504C2×D316C2411yescharacteristic
505C2×D316C2411yescharacteristic
506C2×C22⋊D79—21no—
507C2×C22⋊D79—21no—
508C2×C22⋊D79—21no—
509C2×C22⋊D79—21no—
510C2×C22⋊D79—21no—
511C2×C22⋊D79—21no—
512C2×C22⋊D79—21no—
513C2×C22⋊D79—21no—
514C2×C22⋊D79—21no—
515C2×C22⋊D79—21no—
516C2×C22⋊D79—21no—
517C2×C22⋊D79—44no—
518C2×C22⋊D79C2×D411yescharacteristic
519C2×C22⋊D79C2×D411yescharacteristic
520D4×D79—22no—
521D4×D79—22no—
522D4×D79—41no—
523D4×D79—41no—
524D4×D79—44no—
525C22×Dic79—21no—
526C22×Dic79—21no—
527C22×Dic79—21no—
528C22×Dic79—21no—
529C22×Dic79—21no—
530C2×C4×D79—21no—
531C2×C4×D79—21no—
532C2×C4×D79—21no—
533C2×C4×D79—21no—
534C2×C4×D79—21no—
535C2×C4×D79—21no—
536C2×C4×D79—21no—
537C2×C4×D79—21no—
538C2×C4×D79—21no—
539C2×C4×D79—21no—
540C2×C4×D79—21no—
541C2×C4×D79—82no—
542C2×C4×D79—82no—
543C2×C4×D79—82no—
544C2×C4×D79C2×D411yescharacteristic
545C2×C4×D79C2×D411yescharacteristic
546C2×C4×D79C2×D411yescharacteristic
547C2×C4×D79C2×D411yescharacteristic
548C2×C4×D79C2411yescharacteristic
549C2×C4×D79C2411yescharacteristic
550#11929614—22no—
551#11929613—22no—
552#11929613—41no—
553#11929612—41no—
554#11929611—41no—
555D632—22no—
556D632—41no—
557#11929609—22no—
558#11929609—22no—
559#11929609—22no—
560#11929609—22no—
561#11929609#4114yescomplemented
562C2×C79⋊C8—22no—
563C2×C79⋊C8—41no—
564C2×C79⋊C8C2411yescharacteristic
565C2×C79⋊C8C2411yescharacteristic
566C2×C79⋊C8C2411yescharacteristic
567C2×C79⋊C8C2411yescharacteristic
568C8×D79—22no—
569C8×D79—22no—
570C8×D79—41no—
571C8×D79—41no—
572C4⋊Dic79—21no—
573C4⋊Dic79—21no—
574C4⋊Dic79—21no—
575C4⋊Dic79—21no—
576C4⋊Dic79—21no—
577C4⋊Dic79C2×D411yescharacteristic
578C4⋊Dic79C2×D411yescharacteristic
579C4⋊Dic79C2411yescharacteristic
580C4⋊Dic79C2411yescharacteristic
581C4⋊Dic79C2411yescharacteristic
582C4⋊Dic79C2411yescharacteristic
583Dic79⋊C4—21no—
584Dic79⋊C4—21no—
585Dic79⋊C4—21no—
586Dic79⋊C4—21no—
587Dic79⋊C4—21no—
588Dic79⋊C4—21no—
589Dic79⋊C4—21no—
590Dic79⋊C4—21no—
591Dic79⋊C4—21no—
592Dic79⋊C4—21no—
593Dic79⋊C4—21no—
594Dic79⋊C4—21no—
595Dic79⋊C4C2×D411yescharacteristic
596Dic79⋊C4C2×D411yescharacteristic
597Dic79⋊C4C2×D411yescharacteristic
598Dic79⋊C4C2×D411yescharacteristic
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⋊Dic79—21no—
608C22⋊Dic79C2×D411yescharacteristic
609C22⋊Dic79C2×D411yescharacteristic
610(C2×D79)⋊C4—21no—
611(C2×D79)⋊C4—21no—
612(C2×D79)⋊C4—21no—
613(C2×D79)⋊C4—21no—
614(C2×D79)⋊C4—21no—
615(C2×D79)⋊C4—21no—
616(C2×D79)⋊C4—21no—
617(C2×D79)⋊C4—21no—
618(C2×D79)⋊C4—21no—
619(C2×D79)⋊C4—21no—
620(C2×D79)⋊C4—21no—
621(C2×D79)⋊C4—21no—
622(C2×D79)⋊C4—21no—
623(C2×D79)⋊C4—21no—
624(C2×D79)⋊C4—21no—
625(C2×D79)⋊C4—21no—
626(C2×D79)⋊C4—21no—
627(C2×D79)⋊C4—21no—
628(C2×D79)⋊C4—21no—
629(C2×D79)⋊C4—21no—
630(C2×D79)⋊C4C2×D411yescharacteristic
631(C2×D79)⋊C4C2×D411yescharacteristic
632(C2×D79)⋊C4C2×D411yescharacteristic
633(C2×D79)⋊C4C2×D411yescharacteristic
634C4×Dic79—21no—
635C4×Dic79—21no—
636C4×Dic79—21no—
637C4×Dic79—21no—
638C4×Dic79—21no—
639C4×Dic79C2×D411yescharacteristic
640C4×Dic79C2×D411yescharacteristic
641C4×Dic79C2×D411yescharacteristic
642C4×Dic79C2×D411yescharacteristic
643C4×Dic79C2411yescharacteristic
644C4×Dic79C2411yescharacteristic
645C24×C79—21no—
646C2×Q8×C79C2411yescharacteristic
647C2×D4×C79—22no—
648C2×D4×C79—21no—
649C2×D4×C79—21no—
650C2×D4×C79—41no—
651C2×D4×C79C2411yescharacteristic
652C2×D4×C79C2411yescharacteristic
653C2×D4×C79C2411yescharacteristic
654C22×C4×C79—21no—
655C22×C4×C79—21no—
656C22×C4×C79—21no—
657C22×C4×C79—21no—
658C22×C4×C79—21no—
659C22×C4×C79—21no—
660C22×C4×C79—82no—
661C22×C4×C79C2×D411yescharacteristic
662C22×C4×C79C2×D411yescharacteristic
663C22×C4×C79C2411yescharacteristic
664SD16×C79—22no—
665SD16×C79—41no—
666D8×C79—22no—
667D8×C79—41no—
668C2×C8×C79C2411yescharacteristic
669C2×C8×C79C2411yescharacteristic
670C2×C8×C79C2411yescharacteristic
671C2×C8×C79C2411yescharacteristic
672C4⋊C4×C79—21no—
673C4⋊C4×C79—21no—
674C4⋊C4×C79—21no—
675C4⋊C4×C79—21no—
676C4⋊C4×C79—21no—
677C4⋊C4×C79C2411yescharacteristic
678C4⋊C4×C79C2411yescharacteristic
679C4⋊C4×C79C2411yescharacteristic
680C4⋊C4×C79C2411yescharacteristic
681C22⋊C4×C79—21no—
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—
690C42×C79—21no—
691C42×C79C2×D411yescharacteristic
692C42×C79C2×D411yescharacteristic
693C42×C79C2411yescharacteristic
694C42×C79C2411yescharacteristic
695C23×C79—21no—
696C23×C79—21no—
697C23×C79—21no—
698C23×C79—42no—
699C23×C79—42no—
700C23×C79—81no—
701C23×C79C22×D411yescharacteristic
702C22×D79—21no—
703C22×D79—21no—
704C22×D79—21no—
705C22×D79—42no—
706C22×D79—42no—
707C22×D79—42no—
708C22×D79—42no—
709C22×D79—42no—
710C22×D79—42no—
711C22×D79—81no—
712C22×D79—81no—
713C22×D79—81no—
714C22×D79C22×D411yescharacteristic
715C22×D79C22×D411yescharacteristic
716Q8×C79—21no—
717Q8×C79—21no—
718D4×C79—21no—
719D4×C79—21no—
720D4×C79—21no—
721D4×C79—21no—
722D4×C79—21no—
723D4×C79—42no—
724D4×C79—42no—
725D4×C79C2×#4112yes—
726C2×C4×C79—22no—
727C2×C4×C79—22no—
728C2×C4×C79—21no—
729C2×C4×C79—21no—
730C2×C4×C79—21no—
731C2×C4×C79—21no—
732C2×C4×C79—21no—
733C2×C4×C79—21no—
734C2×C4×C79—21no—
735C2×C4×C79—42no—
736C2×C4×C79—42no—
737C2×C4×C79—42no—
738C2×C4×C79—81no—
739C2×C4×C79—81no—
740C2×C4×C79—81no—
741C2×C4×C79C22×D411yescharacteristic
742C2×C4×C79C22×D411yescharacteristic
743C2×C4×C79C22×D411yescharacteristic
744C2×C4×C79C22×D411yescharacteristic
745C2×C4×C79C22×D411yescharacteristic
746C2×C4×C79C2511yescharacteristic
747C22⋊D79—22no—
748C22⋊D79—42no—
749C22⋊D79—42no—
750C22⋊D79—42no—
751C22⋊D79—42no—
752C22⋊D79—42no—
753C22⋊D79—42no—
754C22⋊D79—42no—
755C22⋊D79—81no—
756C22⋊D79—81no—
757C22⋊D79—81no—
758C22⋊D79—81no—
759C22⋊D79#13514yescomplemented
760C2×Dic79—21no—
761C2×Dic79—21no—
762C2×Dic79—21no—
763C2×Dic79—21no—
764C2×Dic79—21no—
765C2×Dic79—42no—
766C2×Dic79—42no—
767C2×Dic79—81no—
768C2×Dic79—81no—
769C2×Dic79—81no—
770C2×Dic79C22×D411yescharacteristic
771C2×Dic79C22×D411yescharacteristic
772C2×Dic79C22×D411yescharacteristic
773C2×Dic79C22×D411yescharacteristic
774C2×Dic79C22×D411yescharacteristic
775C2×Dic79C22×D411yescharacteristic
776D316—22no—
777D316—21no—
778D316—21no—
779D316—21no—
780D316—21no—
781D316—21no—
782D316—42no—
783D316—42no—
784D316—42no—
785D316—81no—
786D316—81no—
787D316C2×#4112yes—
788C4×D79—22no—
789C4×D79—22no—
790C4×D79—22no—
791C4×D79—21no—
792C4×D79—21no—
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—22no—
823C22×C79—41no—
824C22×C79—41no—
825C22×C79—41no—
826C22×C79—41no—
827C22×C79—41no—
828C22×C79—41no—
829C22×C79—41no—
830C22×C79—41no—
831C22×C79—84no—
832C22×C79C2×#13512yes—
833C22×C79C23×D411yescharacteristic
834C2×D79—21no—
835C2×D79—21no—
836C2×D79—21no—
837C2×D79—22no—
838C2×D79—21no—
839C2×D79—21no—
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×C79#57612yes—
862C4×C79C22×#4111yescharacteristic
863C4×C79#58511yescharacteristic
864Dic79—21no—
865Dic79—21no—
866Dic79—21no—
867Dic79—21no—
868Dic79—21no—
869Dic79—41no—
870Dic79—41no—
871Dic79—41no—
872Dic79—41no—
873Dic79—41no—
874Dic79C2×#13512yes—
875#61431—791nomaximal, Sylow
876C2×C79—22no—
877C2×C79—42no—
878C2×C79—81no—
879C2×C79—81no—
880C2×C79D4×#4111yescharacteristic
881C2×C79C22×#13511yescharacteristic
882C2×C79C2×#57611yescharacteristic
883D79—22no—
884D79—41no—
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#3297—791no—
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#3105D7911yescharacteristic, complemented
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—791no—
933#553—1581no—
934#553—1581no—
935#551—1581no—
936#551—1581no—
937#551—1581no—
938#551—1581no—
939#546—791no—
940#546—791no—
941#546—791no—
942#546—791no—
943#546—1581no—
944#546—1581no—
945D42—791no—
946D42—791no—
947#532—791no—
948#532—791no—
949#529—791no—
950#529—791no—
951#529—791no—
952#529—1581no—
953#529—1581no—
954#529C2×D7911yescharacteristic, complemented
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—1581no—
966C2×C4×D4—1581no—
967C2×C4×D4C2×D7911yescharacteristic, complemented
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#488—791no—
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#482—791no—
988#481—791no—
989#481—791no—
990#481—791no—
991#481C2×D7911yescharacteristic, complemented
992#478—791no—
993#478—791no—
994#478—791no—
995#478—791no—
996#478—791no—
997#478—791no—
998#478C2×D7911yescharacteristic, complemented
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#466—791no—
1012#465—791no—
1013#465—791no—
1014#465—791no—
1015#465—791no—
1016#463—791no—
1017#463—791no—
1018#463—791no—
1019#463—791no—
1020#463—791no—
1021#463—791no—
1022#463C2×D7911yescharacteristic, complemented
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#450C2×D7911yescharacteristic, complemented
1032#449—791no—
1033#449—791no—
1034#449—791no—
1035#449—791no—
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×SD16C2×D7911yescharacteristic, complemented
1051C4×SD16C2×D7911yescharacteristic, complemented
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×D8C2×D7911yescharacteristic, complemented
1069C4×D8C2×D7911yescharacteristic, complemented
1070C8×D4—791no—
1071C8×D4—791no—
1072C8×D4—791no—
1073C8×D4—791no—
1074C8×D4—791no—
1075C8×D4—791no—
1076#431—791no—
1077#431—791no—
1078#431C2×D7911yescharacteristic, complemented
1079#427—791no—
1080C2×#107—791no—
1081C2×#107—791no—
1082#416—791no—
1083#416—791no—
1084C2×#102—791no—
1085C2×#102—791no—
1086C2×#102—791no—
1087C2×#102—791no—
1088C2×C4×C8—791no—
1089C2×C4×C8—791no—
1090C2×C4×C8—791no—
1091C2×#41—791no—
1092C2×#41—791no—
1093C2×#41—791no—
1094C2×#41—1581no—
1095C2×#41—1581no—
1096C22×D4—791no—
1097C22×D4—791no—
1098C22×D4—791no—
1099C22×D4—1581no—
1100C22×D4—1581no—
1101C22×D4C22×D7911yescharacteristic
1102C23×C4—21no—
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×SD16C22×D7911yescharacteristic
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×C8—791no—
1130C22×C8—791no—
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—1581no—
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—791no—
1188#121—791no—
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#121—1581no—
1205#121—1581no—
1206#121C22×D7911yescharacteristic
1207#120—1581no—
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×Q8C22×D7911yescharacteristic
1221C4×D4—21no—
1222C4×D4—21no—
1223C4×D4—21no—
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×D4C22×D7911yescharacteristic
1265C4×D4C22×D7911yescharacteristic
1266C4×D4C22×D7911yescharacteristic
1267C4×D4C22×D7911yescharacteristic
1268C4×D4C22×D7911yescharacteristic
1269#117—21no—
1270#117—791no—
1271#117—791no—
1272#117—791no—
1273#117—791no—
1274#117—791no—
1275#117—1581no—
1276#117—1581no—
1277#117—1581no—
1278#117—1581no—
1279#117—1581no—
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—1581no—
1297C2×C42—1581no—
1298C2×C42C22×D7911yescharacteristic
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#106C22×D7911yescharacteristic
1314#106C22×D7911yescharacteristic
1315C4⋊C8—791no—
1316C4⋊C8—791no—
1317C4⋊C8—791no—
1318C4⋊C8—791no—
1319C4⋊C8C22×D7911yescharacteristic
1320C4⋊C8C22×D7911yescharacteristic
1321#103—791no—
1322#103—791no—
1323#103—791no—
1324#103—791no—
1325#103—791no—
1326#103—791no—
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#102—791no—
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×C8C22×D7911yescharacteristic
1368C4×C8C22×D7911yescharacteristic
1369C24—21no—
1370C24—1581no—
1371C24—1581no—
1372C24—1581no—
1373#41—3161no—
1374#41—3161no—
1375#41—6322no—
1376#41—6322no—
1377#41—1584no—
1378#41—1582no—
1379#41—1582no—
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—41no—
1389C2×D4—3161no—
1390C2×D4—3164no—
1391C2×D4—3164no—
1392C2×D4—3161no—
1393C2×D4—3161no—
1394C2×D4—791no—
1395C2×D4—791no—
1396C2×D4—791no—
1397C2×D4—791no—
1398C2×D4—791no—
1399C2×D4—791no—
1400C2×D4—1581no—
1401C2×D4—1581no—
1402C2×D4—1582no—
1403C2×D4—1581no—
1404C2×D4—1581no—
1405C2×D4—1581no—
1406C2×D4—1581no—
1407C2×D4—1581no—
1408C2×D4—1581no—
1409C2×D4—1581no—
1410C2×D4—1581no—
1411C2×D4—1582no—
1412C2×D4—1581no—
1413C2×D4—1581no—
1414C2×D4—1581no—
1415C2×D4—1582no—
1416C2×D4—1581no—
1417C2×D4—1581no—
1418C2×D4—1581no—
1419C2×D4C23×D7911yescharacteristic
1420C2×D4C23×D7911yescharacteristic
1421C2×D4C23×D7911yescharacteristic
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—21no—
1426C22×C4—21no—
1427C22×C4—21no—
1428C22×C4—82no—
1429C22×C4—791no—
1430C22×C4—791no—
1431C22×C4—791no—
1432C22×C4—791no—
1433C22×C4—791no—
1434C22×C4—791no—
1435C22×C4—6322no—
1436C22×C4—6322no—
1437C22×C4—6322no—
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×C4D4×D7911yescharacteristic
1455C22×C4D4×D7911yescharacteristic
1456C22×C4C23×D7911yescharacteristic
1457Q16—1582no—
1458SD16—22no—
1459SD16—41no—
1460SD16—3161no—
1461SD16—3161no—
1462SD16—3161no—
1463SD16—1582no—
1464D8—22no—
1465D8—41no—
1466D8—3161no—
1467D8—794no—
1468D8—1582no—
1469D8—1582no—
1470D8—1582no—
1471D8—1582no—
1472D8—1582no—
1473C2×C8—3161no—
1474C2×C8—3161no—
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—21no—
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—791no—
1501C4⋊C4—791no—
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⋊C4—1581no—
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—791no—
1537C22⋊C4—791no—
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⋊C4—1581no—
1566C22⋊C4—1581no—
1567C42—21no—
1568C42—791no—
1569C42—791no—
1570C42—791no—
1571C42—791no—
1572C42—791no—
1573C42—791no—
1574C42—1581no—
1575C42—1581no—
1576C42—1581no—
1577C42—1581no—
1578C42—1581no—
1579C42D4×D7911yescharacteristic
1580C42D4×D7911yescharacteristic
1581C42C23×D7911yescharacteristic
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—791no—
1597C23—6321no—
1598C23—6321no—
1599C23—6321no—
1600C23—1581no—
1601C23—1581no—
1602C23—1581no—
1603C23C2×D4×D7911yescharacteristic
1604Q8—21no—
1605Q8—21no—
1606Q8—6321no—
1607Q8—6321no—
1608Q8—1582no—
1609Q8—1581no—
1610Q8—1581no—
1611D4—21no—
1612D4—21no—
1613D4—21no—
1614D4—21no—
1615D4—21no—
1616D4—42no—
1617D4—42no—
1618D4—3162no—
1619D4—3162no—
1620D4—3162no—
1621D4—3162no—
1622D4—3162no—
1623D4—3162no—
1624D4—3162no—
1625D4—3162no—
1626D4—3162no—
1627D4—3162no—
1628D4—794no—
1629D4—792no—
1630D4—6321no—
1631D4—6321no—
1632D4—6321no—
1633D4—6321no—
1634D4—6321no—
1635D4—6321no—
1636D4—1582no—
1637D4—1582no—
1638D4—1581no—
1639D4—1581no—
1640D4—1581no—
1641D4—1581no—
1642D4—1581no—
1643D4#41×D7912yes—
1644C2×C4—22no—
1645C2×C4—21no—
1646C2×C4—22no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—42no—
1654C2×C4—42no—
1655C2×C4—42no—
1656C2×C4—81no—
1657C2×C4—81no—
1658C2×C4—81no—
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—6321no—
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—1582no—
1682C2×C4—1582no—
1683C2×C4—1581no—
1684C2×C4—1581no—
1685C2×C4—1581no—
1686C2×C4—1581no—
1687C2×C4—1581no—
1688C2×C4—1581no—
1689C2×C4—1581no—
1690C2×C4—1582no—
1691C2×C4—1582no—
1692C2×C4—1581no—
1693C2×C4—1581no—
1694C2×C4C2×D4×D7911yescharacteristic
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—22no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—84no—
1720C22—3161no—
1721C22—3161no—
1722C22—3161no—
1723C22—3161no—
1724C22—3161no—
1725C22—3161no—
1726C22—3161no—
1727C22—3161no—
1728C22—792no—
1729C22—6324no—
1730C22—6324no—
1731C22—6324no—
1732C22—1581no—
1733C22—1581no—
1734C22—1582no—
1735C22—1581no—
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—1581no—
1756C4—1581no—
1757C4—1581no—
1758C4—1581no—
1759C4—1581no—
1760C4#1909936712yes—
1761C4C2×#41×D7911yescharacteristic
1762C4#1909939911yescharacteristic
1763C2—22no—
1764C2—42no—
1765C2—81no—
1766C2—81no—
1767C2—3162no—
1768C2—3161no—
1769C2—6321no—
1770C2—6321no—
1771C2—1582no—
1772C2#2377688311yescharacteristic
1773C2C2×#135×D7911yescharacteristic
1774C2C2×#1909936711yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3105C2
socleC22×C79C23×D4
hypercenter#3105D79
hypocenterC79#61431
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #3105

Complements

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

NH ≅ G/Ntype
1. #23777006C2semidirect
2. #23777004C2semidirect
3. #23776407C2semidirect
4. #23776262C2semidirect
5. #23776063C2semidirect
6. #23776055C2semidirect
7. #23775800C2semidirect
8. #23775799C2semidirect
9. #23775787C2semidirect
10. #23775257C2semidirect
11. #23775254C2semidirect
12. #23775248C2semidirect
13. #23775247C2semidirect
14. #23775222C2semidirect
15. #23775217C2semidirect
16. #23775080C2semidirect
17. #23775078C2semidirect
18. #23775070C2semidirect
19. #23773976C2semidirect
20. #23773966C2semidirect
21. #23773964C2semidirect
22. #23773458C2semidirect
23. #23773456C2semidirect
24. #23773451C2semidirect
25. #23773449C2semidirect
26. #23773445C2semidirect
27. #23772356C2semidirect
28. C4×#14579182C2semidirect
29. C2×C4×#11929609C2semidirect
30. C4×D8×D79C2semidirect
31. C79×#3105C2semidirect
35. #19099296C22semidirect
36. #19099295C22semidirect
37. #19099272C22semidirect
39. #19099269C22semidirect
41. #19099266C22semidirect
42. #19099265C22semidirect
44. #19099263C22semidirect
46. #19099261C22semidirect
51. #19099208C22semidirect
52. #19099207C22semidirect
53. #19099206C22semidirect
55. #19099204C22semidirect
59. #19099110C22semidirect
60. #19099110C22semidirect
61. #19099100C22semidirect
62. #19099097C22semidirect
63. #19099095C22semidirect
70. C4×#11929625C22semidirect
72. C4×#11929623C22semidirect
73. C2×C4×D316C22semidirect
76. C4×D4×D79C22semidirect
77. C4×D4×D79C22semidirect
78. #19098967C22semidirect
79. #19098963C22semidirect
80. #19098962C22semidirect
81. #19098945C22semidirect
82. #19098944C22semidirect
84. #19098920C22semidirect
85. #19098919C22semidirect
86. #19098917C22semidirect
87. #19098916C22semidirect
88. #19098908C22semidirect
89. #19098908C22semidirect
90. #19098900C22semidirect
91. #19098899C22semidirect
92. #19098897C22semidirect
93. #19098890C22semidirect
94. #19098889C22semidirect
95. #19098886C22semidirect
96. #19098885C22semidirect
97. #19098883C22semidirect
98. #19098882C22semidirect
99. #19098880C22semidirect
100. #19098866C22semidirect
101. #19098865C22semidirect
102. #19098864C22semidirect
103. #19098864C22semidirect
104. #19098862C22semidirect
105. #19098861C22semidirect
106. #19098857C22semidirect
107. #19098856C22semidirect
108. #19098852C22semidirect
109. #19098851C22semidirect
110. #19098803C22semidirect
111. #19098802C22semidirect
112. #19098800C22semidirect
114. #19098798C22semidirect
115. #19098798C22semidirect
117. #19098796C22semidirect
118. #19098794C22semidirect
119. #19098793C22semidirect
120. #19098790C22semidirect
121. #19098789C22semidirect
122. #19098781C22semidirect
123. #19098780C22semidirect
124. #19098779C22semidirect
125. #19098779C22semidirect
126. #19098777C22semidirect
127. #19098776C22semidirect
128. #19098762C22semidirect
129. #19098761C22semidirect
132. #19098716C22semidirect
133. #19098715C22semidirect
134. #19098712C22semidirect
135. #19098711C22semidirect
136. #19098709C22semidirect
137. #19098707C22semidirect
138. #19098705C22semidirect
142. #19098687C22semidirect
143. #19098687C22semidirect
144. C4×#11929614C22semidirect
145. #19098655C22semidirect
146. C4×#11929613C22semidirect
147. C4×#11929613C22semidirect
148. SD16×Dic79C22semidirect
149. C4×#11929611C22semidirect
150. #19098650C22semidirect
151. C4×#11929612C22semidirect
152. C4×D632C22semidirect
153. C4×D632C22semidirect
154. D8×Dic79C22semidirect
155. #19098645C22semidirect
158. C4×#11929609C22semidirect
159. C4×#11929609C22semidirect
160. C4×#11929609C22semidirect
161. C4×#11929609C22semidirect
162. C4×#11929609C22semidirect
163. C4×#11929609C22semidirect
164. C4×#11929609C22semidirect
167. #19098643C22semidirect
168. #19098628C22semidirect
169. #19098628C22semidirect
172. (C22⋊D79)⋊C8C22semidirect
173. (C22⋊D79)⋊C8C22semidirect
174. #19098614C22semidirect
175. #19098614C22semidirect
176. #19098598C22semidirect
177. C2×#14579094C22semidirect
178. #107×D79C22semidirect
179. #19098558C22semidirect
180. #19098556C22semidirect
181. C2×#14579082C22semidirect
182. C2×#14579081C22semidirect
183. #102×D79C22semidirect
184. #102×D79C22semidirect
185. C2×C4×C79⋊C8C22semidirect
186. C4×C8×D79C22semidirect
187. C4×C8×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
561. #11929609#41semidirect
759. C22⋊D79#135semidirect
914. #3105D79semidirect
919. C79#61431semidirect
954. #529C2×D79semidirect
967. C2×C4×D4C2×D79semidirect
983. #484C2×D79semidirect
991. #481C2×D79semidirect
998. #478C2×D79semidirect
999. #478C2×D79semidirect
1022. #463C2×D79semidirect
1023. #463C2×D79semidirect
1031. #450C2×D79semidirect
1050. C4×SD16C2×D79semidirect
1051. C4×SD16C2×D79semidirect
1068. C4×D8C2×D79semidirect
1069. C4×D8C2×D79semidirect
1078. #431C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237770062
#237770042
#237764072
#237762622
#237760632
#237760552
#237758002
#237757992
#237757872
#237752572
#237752542
#237752482
#237752472
#237752222
#237752172
#237750802
#237750782
#237750702
#237739762
#237739662
#237739642
#237734582
#237734562
#237734512
#237734492
#237734452
#237723562
C4×#145791822
C2×C4×#119296092
C4×D8×D792
C79×#31052
#6143179