Finite Group Databasebeta

← #35171242

Subgroups — #35171242

Order 20224.

1936 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777478C211yesmaximal, characteristic, complemented
2#23777428C211yesmaximal, characteristic, complemented
3#23776443C211yesmaximal, characteristic, complemented
4#23776307C211yesmaximal, characteristic, complemented
5#23776070C211yesmaximal, characteristic, complemented
6#23776063C211yesmaximal, characteristic, complemented
7#23776022C211yesmaximal, characteristic, complemented
8#23775866C211yesmaximal, characteristic, complemented
9#23775348C211yesmaximal, characteristic, complemented
10#23775300C211yesmaximal, characteristic, complemented
11#23775296C211yesmaximal, characteristic, complemented
12#23775222C211yesmaximal, characteristic, complemented
13#23775211C211yesmaximal, characteristic, complemented
14#23775207C211yesmaximal, characteristic, complemented
15#23775017C211yesmaximal, characteristic, complemented
16#23774900C211yesmaximal, characteristic, complemented
17#23774892C211yesmaximal, characteristic, complemented
18#23774088C211yesmaximal, characteristic, complemented
19#23774084C211yesmaximal, characteristic, complemented
20#23773974C211yesmaximal, characteristic, complemented
21#23773604C211yesmaximal, characteristic, complemented
22#23773594C211yesmaximal, characteristic, complemented
23#23773589C211yesmaximal, characteristic, complemented
24#23773579C211yesmaximal, characteristic, complemented
25#23773519C211yesmaximal, characteristic, complemented
26#23773488C211yesmaximal, characteristic, complemented
27#23772370C211yesmaximal, characteristic, complemented
28#23772230C211yesmaximal, characteristic, complemented
29#23772229C211yesmaximal, characteristic, complemented
30C2×#19098650C211yesmaximal, characteristic, complemented
31C79×#3345C211yesmaximal, characteristic, complemented
32C2×#14579189C2211yescharacteristic
33C2×#14579185C2211yescharacteristic
34C22×#11929613C2211yescharacteristic
35#19099297—21no—
36#19099296C2211yescharacteristic, complemented
37#19099293C2211yescharacteristic, complemented
38#19099276C2211yescharacteristic
39#19099269C2211yescharacteristic
40#19099268C2211yescharacteristic, complemented
41#19099267—21no—
42#19099264—21no—
43#19099261C2211yescharacteristic
44#19099234C2211yescharacteristic
45#19099231C2211yescharacteristic, complemented
46#19099222C2211yescharacteristic, complemented
47#19099219C2211yescharacteristic, complemented
48#19099214C2211yescharacteristic, complemented
49#19099212—21no—
50#19099211—21no—
51#19099208—21no—
52#19099205—21no—
53#19099202—21no—
54D4×D316C2211yescharacteristic
55#19099197C2211yescharacteristic
56#19099197C2211yescharacteristic
57#19099187C2211yescharacteristic, complemented
58#19099183—21no—
59#19099181—21no—
60#19099180C2211yescharacteristic, complemented
61#19099169C2211yescharacteristic
62#19099166C2211yescharacteristic
63#19099152—21no—
64#19099149—21no—
65#19099109—21no—
66#19099108C2211yescharacteristic
67#19099108C2211yescharacteristic, complemented
68#19099093C2211yescharacteristic
69#19099090—21no—
70#19099072—21no—
71#121×D79—21no—
72#19099044C2211yescharacteristic, complemented
73#19099042C2211yescharacteristic, complemented
74#19099037C2211yescharacteristic
75#19099035C2211yescharacteristic
76C2×#14579126C2211yescharacteristic, complemented
77C2×#14579123C2211yescharacteristic
78#19098970C2211yescharacteristic, complemented
79#19098967C2211yescharacteristic, complemented
80#19098952C2211yescharacteristic, complemented
81#19098951C2211yescharacteristic, complemented
82#19098938C2211yescharacteristic, complemented
83#19098920C2211yescharacteristic, complemented
84#19098916C2211yescharacteristic, complemented
85#19098911C2211yescharacteristic, complemented
86#19098908C2211yescharacteristic, complemented
87#19098908C2211yescharacteristic, complemented
88#19098908C2211yescharacteristic, complemented
89#19098907C2211yescharacteristic, complemented
90#19098904C2211yescharacteristic, complemented
91#19098889C2211yescharacteristic, complemented
92#19098883C2211yescharacteristic, complemented
93#19098881C2211yescharacteristic, complemented
94#19098878C2211yescharacteristic, complemented
95#19098876C2211yescharacteristic, complemented
96#19098876C2211yescharacteristic, complemented
97#19098873C2211yescharacteristic, complemented
98#19098867C2211yescharacteristic, complemented
99#19098862C2211yescharacteristic, complemented
100#19098857C2211yescharacteristic, complemented
101#19098857C2211yescharacteristic, complemented
102#19098852C2211yescharacteristic
103#19098852C2211yescharacteristic, complemented
104#19098852C2211yescharacteristic, complemented
105#19098842C2211yescharacteristic
106#19098840C2211yescharacteristic
107#19098817C2211yescharacteristic, complemented
108#19098810C2211yescharacteristic, complemented
109#19098809C2211yescharacteristic, complemented
110#19098800C2211yescharacteristic, complemented
111#19098799C2211yescharacteristic, complemented
112#19098797C2211yescharacteristic, complemented
113#19098797C2211yescharacteristic, complemented
114#19098797C2211yescharacteristic, complemented
115#19098793C2211yescharacteristic, complemented
116#19098790C2211yescharacteristic, complemented
117#19098779C2211yescharacteristic
118#19098778C2211yescharacteristic, complemented
119#19098777C2211yescharacteristic
120#19098777C2211yescharacteristic, complemented
121#19098764C2211yescharacteristic, complemented
122#19098762C2211yescharacteristic, complemented
123#19098762C2211yescharacteristic, complemented
124#19098762C2211yescharacteristic, complemented
125#19098758C2211yescharacteristic, complemented
126#19098757C2211yescharacteristic
127#19098757C2211yescharacteristic, complemented
128#19098757C2211yescharacteristic, complemented
129#19098716C2211yescharacteristic
130#19098715C2211yescharacteristic
131#19098710C2211yescharacteristic, complemented
132#19098709C2211yescharacteristic, complemented
133#19098709C2211yescharacteristic, complemented
134#19098706C2211yescharacteristic, complemented
135#19098704C2211yescharacteristic, complemented
136#19098701C2211yescharacteristic, complemented
137#19098699C2211yescharacteristic
138#19098698C2211yescharacteristic
139#19098696C2211yescharacteristic
140#19098696C2211yescharacteristic
141#19098691C2211yescharacteristic, complemented
142#19098687C2211yescharacteristic, complemented
143#19098674C2211yescharacteristic
144#19098674C2211yescharacteristic, complemented
145#19098674C2211yescharacteristic, complemented
146#19098672C2211yescharacteristic
147#19098672C2211yescharacteristic, complemented
148#19098665C2211yescharacteristic
149#19098662C2211yescharacteristic
150#19098662C2211yescharacteristic, complemented
151#19098662C2211yescharacteristic, complemented
152#19098660C2211yescharacteristic, complemented
153#19098660C2211yescharacteristic, complemented
154#19098650C2211yescharacteristic
155#19098650C2211yescharacteristic
156#19098650C2211yescharacteristic
157#19098650C2211yescharacteristic
158#19098650C2211yescharacteristic, complemented
159#19098650C2211yescharacteristic, complemented
160#19098650C2211yescharacteristic, complemented
161#19098650C2211yescharacteristic, complemented
162#19098650C2211yescharacteristic, complemented
163C4×#11929612C2211yescharacteristic, complemented
164D8×Dic79C2211yescharacteristic, complemented
165#19098645C2211yescharacteristic
166#19098645C2211yescharacteristic, complemented
167C4×#11929609C2211yescharacteristic
168#19098643C2211yescharacteristic, complemented
169#19098643C2211yescharacteristic, complemented
170#19098639C2211yescharacteristic, complemented
171#19098634C2211yescharacteristic, complemented
172D4×C79⋊C8C2211yescharacteristic, complemented
173(C22⋊D79)⋊C8C2211yescharacteristic, complemented
174(C22⋊D79)⋊C8C2211yescharacteristic, complemented
175#19098623C2211yescharacteristic, complemented
176#19098621C2211yescharacteristic, complemented
177#19098617C2211yescharacteristic, complemented
178#19098602C2211yescharacteristic, complemented
179#19098557C2211yescharacteristic, complemented
180#19098556C2211yescharacteristic, complemented
181C2×#14579084C2211yescharacteristic, complemented
182C2×#14579081C2211yescharacteristic
183C2×#14579081C2211yescharacteristic
184#102×D79C2211yescharacteristic
185#19098521C2211yescharacteristic, complemented
186#19098520C2211yescharacteristic, complemented
187C2×C8×Dic79C2211yescharacteristic, complemented
188#553×C79C2211yescharacteristic
189#547×C79C2211yescharacteristic, complemented
190#501×C79C2211yescharacteristic, complemented
191#482×C79C2211yescharacteristic, complemented
192#481×C79C2211yescharacteristic, complemented
193#481×C79C2211yescharacteristic, complemented
194#480×C79C2211yescharacteristic, complemented
195#478×C79C2211yescharacteristic, complemented
196#476×C79C2211yescharacteristic, complemented
197#469×C79C2211yescharacteristic, complemented
198#466×C79C2211yescharacteristic, complemented
199#442×C79C2211yescharacteristic, complemented
200#435×C79C2211yescharacteristic, complemented
201#428×C79C2211yescharacteristic, complemented
202C2×#106×C79C2211yescharacteristic, complemented
203C2×#11929624—21no—
204C2×#11929624—21no—
205C2×#11929624C2311yescharacteristic
206C2×#11929623—21no—
207C2×#11929623—21no—
208C2×#11929623C2311yescharacteristic
209C22×Dic158C2311yescharacteristic
210C22×D316C2311yescharacteristic
211C22×D316C2311yescharacteristic
212C2×D4×D79—21no—
213C2×D4×D79—21no—
214C2×D4×D79—21no—
215C2×D4×D79C2311yescharacteristic
216C22×C4×D79—21no—
217#14579189—24no—
218#14579185—24no—
219C2×#11929613—24no—
220C2×#11929613C2311yescharacteristic
221C2×#11929613C2311yescharacteristic
222C2×#11929613C2311yescharacteristic
223C2×#11929613C2311yescharacteristic
224C2×#11929613C2311yescharacteristic
225C2×#11929613C2311yescharacteristic
226C2×#11929612C2311yescharacteristic
227C2×#11929612C2311yescharacteristic
228C2×D632C2311yescharacteristic
229C2×D632C2311yescharacteristic
230C2×D632C2311yescharacteristic
231C2×#11929609C2311yescharacteristic
232C2×#11929609C2311yescharacteristic
233C2×#11929609C2311yescharacteristic
234C2×#11929609C2311yescharacteristic
235C2×#11929607C2311yescharacteristic
236C22×C79⋊C8C2311yescharacteristic
237C22×C79⋊C8C2311yescharacteristic
238C2×C8×D79C2311yescharacteristic
239#14579160—21no—
240#14579160C2311yescharacteristic
241#14579160C2311yescharacteristic
242#14579160C2311yescharacteristic
243#14579159—21no—
244#14579159—21no—
245#14579158C2311yescharacteristic
246#14579157—21no—
247#14579157C2311yescharacteristic
248#14579157C2311yescharacteristic
249#14579157C2311yescharacteristic
250#14579156—21no—
251#14579156—21no—
252#14579156D411yescharacteristic
253#14579154—21no—
254#14579154D411yescharacteristic
255#14579152C2311yescharacteristic
256#14579151—21no—
257#14579151D411yescharacteristic
258#14579150—21no—
259#14579149—21no—
260#14579149C2311yescharacteristic
261#14579148—21no—
262#14579148C2311yescharacteristic
263#14579147—21no—
264#14579147—21no—
265#14579147—21no—
266#14579147—21no—
267#14579147—21no—
268#14579147—21no—
269#14579147D411yescharacteristic
270#14579146—21no—
271#14579146—21no—
272#14579146—21no—
273#14579146—21no—
274#14579146—21no—
275#14579145—21no—
276#14579145D411yescharacteristic
277#14579144—21no—
278#14579144—21no—
279#14579143—21no—
280#14579143—21no—
281#14579142—21no—
282#14579142D411yescharacteristic
283#14579141—21no—
284#14579141C2311yescharacteristic
285#14579140—21no—
286#14579140C2311yescharacteristic
287#14579139—21no—
288#14579139—21no—
289#14579139—21no—
290#14579139—21no—
291#14579139—21no—
292#14579138—21no—
293#14579138—21no—
294#14579138D411yescharacteristic
295#14579137—21no—
296#14579136—21no—
297#14579136—21no—
298#14579136—21no—
299#14579136C2311yescharacteristic
300#14579136C2311yescharacteristic
301#14579136C2311yescharacteristic
302#14579135—21no—
303#14579135—21no—
304#14579135C2311yescharacteristic
305#14579135C2311yescharacteristic
306#14579135C2311yescharacteristic
307#14579134—21no—
308#14579134—21no—
309#14579134—21no—
310#14579134—21no—
311#14579134—21no—
312#14579134—21no—
313#14579133—21no—
314#14579133—21no—
315#14579133—21no—
316#14579133—21no—
317#14579133—21no—
318#14579133—21no—
319#14579133D411yescharacteristic
320#14579132—21no—
321#14579131—21no—
322#14579131—21no—
323#14579131—21no—
324#14579131—21no—
325#14579129—21no—
326#14579129—21no—
327C4×Dic158C2311yescharacteristic
328C4×Dic158C2311yescharacteristic
329#14579126—21no—
330#14579126—21no—
331#14579126—21no—
332#14579126C2311yescharacteristic
333#14579126C2311yescharacteristic
334#14579126C2311yescharacteristic
335#14579126C2311yescharacteristic
336#14579126C2311yescharacteristic
337C4×D316—21no—
338C4×D316—21no—
339C4×D316C2311yescharacteristic
340D4×Dic79—21no—
341D4×Dic79C2311yescharacteristic
342D4×Dic79C2311yescharacteristic
343#14579123—21no—
344#14579123—21no—
345#14579123C2311yescharacteristic
346#14579123C2311yescharacteristic
347#14579123C2311yescharacteristic
348#14579123C2311yescharacteristic
349#14579123C2311yescharacteristic
350#14579123C2311yescharacteristic
351#14579123C2311yescharacteristic
352#14579123C2311yescharacteristic
353#14579123C2311yescharacteristic
354C4×C22⋊D79—21no—
355C4×C22⋊D79—21no—
356C4×C22⋊D79—21no—
357C4×C22⋊D79—21no—
358C4×C22⋊D79—21no—
359C4×C22⋊D79—21no—
360C4×C22⋊D79—21no—
361C4×C22⋊D79C2311yescharacteristic
362C4×C22⋊D79C2311yescharacteristic
363(C22⋊D79)⋊C4—21no—
364(C22⋊D79)⋊C4—21no—
365(C22⋊D79)⋊C4—21no—
366(C22⋊D79)⋊C4—21no—
367(C22⋊D79)⋊C4—21no—
368(C22⋊D79)⋊C4—21no—
369#14579120C2311yescharacteristic
370#14579119—21no—
371#14579119C2311yescharacteristic
372#14579118—21no—
373#14579118C2311yescharacteristic
374#14579117—21no—
375C2×Dic79⋊C4—21no—
376C2×Dic79⋊C4—21no—
377C4⋊C4×D79—21no—
378C4⋊C4×D79—21no—
379C4⋊C4×D79C2311yescharacteristic
380C2×(C2×D79)⋊C4—21no—
381C2×(C2×D79)⋊C4—21no—
382C22⋊C4×D79—21no—
383C22⋊C4×D79—21no—
384C22⋊C4×D79—21no—
385C2×C4×Dic79—21no—
386C2×C4×Dic79C2311yescharacteristic
387#14579095C2311yescharacteristic
388#14579094C2311yescharacteristic
389#14579094C2311yescharacteristic
390#14579094C2311yescharacteristic
391#14579094C2311yescharacteristic
392#14579092C2311yescharacteristic
393#14579092C2311yescharacteristic
394C4⋊(C79⋊C8)C2311yescharacteristic
395Dic79⋊C8C2311yescharacteristic
396Dic79⋊C8C2311yescharacteristic
397Dic79⋊C8C2311yescharacteristic
398Dic79⋊C8C2311yescharacteristic
399#14579086C2311yescharacteristic
400#14579086C2311yescharacteristic
401#14579084C2311yescharacteristic
402#14579084C2311yescharacteristic
403#14579084C2311yescharacteristic
404#14579084C2311yescharacteristic
405#14579084C2311yescharacteristic
406#14579084C2311yescharacteristic
407#14579083C2311yescharacteristic
408#14579083C2311yescharacteristic
409#14579083C2311yescharacteristic
410#14579083C2311yescharacteristic
411#14579082C2311yescharacteristic
412#14579082C2311yescharacteristic
413#14579081C2311yescharacteristic
414#14579081C2311yescharacteristic
415#14579081C2311yescharacteristic
416#14579081C2311yescharacteristic
417#14579081C2311yescharacteristic
418#14579081C2311yescharacteristic
419#14579081C2311yescharacteristic
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
429#14579071C2311yescharacteristic
430#14579071C2311yescharacteristic
431#14579071C2311yescharacteristic
432C4×C79⋊C8C2311yescharacteristic
433C8×Dic79C2311yescharacteristic
434C8×Dic79C2311yescharacteristic
435C8×Dic79C2311yescharacteristic
436C8×Dic79C2311yescharacteristic
437C8×Dic79C2311yescharacteristic
438C2×#41×C79—21no—
439C2×D8×C79C2311yescharacteristic
440C2×M16×C79C2311yescharacteristic
441C22×C8×C79C2311yescharacteristic
442C4⋊Q8×C79C2311yescharacteristic
443#126×C79—21no—
444#125×C79C2311yescharacteristic
445#123×C79—21no—
446#123×C79—21no—
447#123×C79—21no—
448C22⋊Q8×C79—21no—
449#121×C79—21no—
450#121×C79C2311yescharacteristic
451#121×C79C2311yescharacteristic
452#121×C79C2311yescharacteristic
453#121×C79C2311yescharacteristic
454C4×D4×C79—21no—
455C4×D4×C79C2311yescharacteristic
456C4×D4×C79C2311yescharacteristic
457C4×D4×C79C2311yescharacteristic
458#117×C79C2311yescharacteristic
459C2×C4⋊C4×C79C2311yescharacteristic
460C2×C4⋊C4×C79C2311yescharacteristic
461C2×C4⋊C4×C79C2311yescharacteristic
462#107×C79C2311yescharacteristic
463#107×C79C2311yescharacteristic
464#107×C79C2311yescharacteristic
465#106×C79C2311yescharacteristic
466#106×C79C2311yescharacteristic
467#106×C79C2311yescharacteristic
468#106×C79C2311yescharacteristic
469#106×C79C2311yescharacteristic
470#106×C79C2311yescharacteristic
471C4⋊C8×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
480#97×C79C2311yescharacteristic
481C23×D79—21no—
482C23×D79—21no—
483C23×D79—21no—
484#11929624—22no—
485#11929624—41no—
486#11929624—82no—
487#11929624—82no—
488#11929623—22no—
489#11929623—41no—
490#11929623—82no—
491#11929623—82no—
492C2×Dic158—22no—
493C2×Dic158—21no—
494C2×Dic158—21no—
495C2×Dic158—21no—
496C2×Dic158—21no—
497C2×Dic158—41no—
498C2×Dic158C2×D411yescharacteristic
499C2×Dic158C2411yescharacteristic
500C2×Dic158C2411yescharacteristic
501C2×D316—21no—
502C2×D316—21no—
503C2×D316—21no—
504C2×D316—22no—
505C2×D316—22no—
506C2×D316—21no—
507C2×D316—21no—
508C2×D316—21no—
509C2×D316—21no—
510C2×D316—41no—
511C2×D316—41no—
512C2×D316C2411yescharacteristic
513C2×D316C2411yescharacteristic
514C2×D316C2411yescharacteristic
515C2×D316C2411yescharacteristic
516C2×C22⋊D79—21no—
517C2×C22⋊D79—21no—
518C2×C22⋊D79—21no—
519C2×C22⋊D79—21no—
520C2×C22⋊D79—21no—
521C2×C22⋊D79—21no—
522C2×C22⋊D79—21no—
523C2×C22⋊D79—21no—
524C2×C22⋊D79—21no—
525C2×C22⋊D79—21no—
526C2×C22⋊D79—21no—
527C2×C22⋊D79—21no—
528C2×C22⋊D79C2×D411yescharacteristic
529C2×C22⋊D79C2×D411yescharacteristic
530D4×D79—22no—
531D4×D79—41no—
532D4×D79—82no—
533D4×D79—82no—
534D4×D79—82no—
535C22×Dic79—21no—
536C22×Dic79—21no—
537C22×Dic79—21no—
538C22×Dic79—21no—
539C22×Dic79C2×D411yescharacteristic
540C22×Dic79C2×D411yescharacteristic
541C2×C4×D79—21no—
542C2×C4×D79—21no—
543C2×C4×D79—21no—
544C2×C4×D79—21no—
545C2×C4×D79—21no—
546C2×C4×D79—21no—
547C2×C4×D79—21no—
548C2×C4×D79—21no—
549C2×C4×D79—21no—
550C2×C4×D79—21no—
551C2×C4×D79—21no—
552C2×C4×D79—21no—
553C2×C4×D79—82no—
554C2×C4×D79C2411yescharacteristic
555#11929613—22no—
556#11929613—22no—
557#11929613—22no—
558#11929613—22no—
559#11929613—41no—
560#11929613#4114yescomplemented
561#11929612—22no—
562#11929612—41no—
563D632—22no—
564D632—22no—
565D632—41no—
566#11929609—22no—
567#11929609—41no—
568#11929609—41no—
569#11929609—41no—
570#11929607—22no—
571C2×C79⋊C8—41no—
572C2×C79⋊C8—41no—
573C2×C79⋊C8C2411yescharacteristic
574C2×C79⋊C8C2411yescharacteristic
575C2×C79⋊C8C2411yescharacteristic
576C2×C79⋊C8C2411yescharacteristic
577C8×D79—41no—
578C4⋊Dic79—21no—
579C4⋊Dic79—21no—
580C4⋊Dic79C2×D411yescharacteristic
581C4⋊Dic79C2×D411yescharacteristic
582C4⋊Dic79C2×D411yescharacteristic
583C4⋊Dic79C2411yescharacteristic
584C4⋊Dic79C2411yescharacteristic
585Dic79⋊C4—21no—
586Dic79⋊C4—21no—
587Dic79⋊C4—21no—
588Dic79⋊C4—21no—
589Dic79⋊C4—21no—
590Dic79⋊C4—21no—
591Dic79⋊C4—21no—
592Dic79⋊C4—21no—
593Dic79⋊C4—21no—
594Dic79⋊C4—21no—
595Dic79⋊C4—21no—
596Dic79⋊C4—21no—
597Dic79⋊C4C2×D411yescharacteristic
598Dic79⋊C4C2×D411yescharacteristic
599Dic79⋊C4C2×D411yescharacteristic
600Dic79⋊C4C2×D411yescharacteristic
601Dic79⋊C4C2×D411yescharacteristic
602Dic79⋊C4C2×D411yescharacteristic
603C22⋊Dic79—21no—
604C22⋊Dic79—21no—
605C22⋊Dic79—21no—
606C22⋊Dic79—21no—
607C22⋊Dic79—21no—
608C22⋊Dic79C2×D411yescharacteristic
609C22⋊Dic79C2×D411yescharacteristic
610C22⋊Dic79C2×D411yescharacteristic
611C22⋊Dic79C2×D411yescharacteristic
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)⋊C4—21no—
631(C2×D79)⋊C4—21no—
632(C2×D79)⋊C4C2×D411yescharacteristic
633(C2×D79)⋊C4C2×D411yescharacteristic
634(C2×D79)⋊C4C2×D411yescharacteristic
635(C2×D79)⋊C4C2×D411yescharacteristic
636C4×Dic79—21no—
637C4×Dic79—21no—
638C4×Dic79—21no—
639C4×Dic79—21no—
640C4×Dic79—21no—
641C4×Dic79—21no—
642C4×Dic79—21no—
643C4×Dic79C2×D411yescharacteristic
644C4×Dic79C2×D411yescharacteristic
645C4×Dic79C2411yescharacteristic
646C4×Dic79C2411yescharacteristic
647C4×Dic79C2411yescharacteristic
648#41×C79—82no—
649C2×Q8×C79—21no—
650C2×D4×C79—21no—
651C2×D4×C79—21no—
652C2×D4×C79—21no—
653C2×D4×C79—21no—
654C2×D4×C79C2×D411yescharacteristic
655C2×D4×C79C2411yescharacteristic
656C2×D4×C79C2411yescharacteristic
657C22×C4×C79—21no—
658C22×C4×C79—21no—
659C22×C4×C79—21no—
660C22×C4×C79—21no—
661C22×C4×C79—21no—
662C22×C4×C79C2411yescharacteristic
663C22×C4×C79C2411yescharacteristic
664D8×C79—22no—
665M16×C79—22no—
666C2×C8×C79—22no—
667C2×C8×C79C2411yescharacteristic
668C2×C8×C79C2411yescharacteristic
669C2×C8×C79C2411yescharacteristic
670C2×C8×C79C2411yescharacteristic
671C4⋊C4×C79—21no—
672C4⋊C4×C79—21no—
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
682C4⋊C4×C79C2411yescharacteristic
683C4⋊C4×C79C2411yescharacteristic
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×C79C22×D411yescharacteristic
698C23×C79C22×D411yescharacteristic
699C22×D79—21no—
700C22×D79—21no—
701C22×D79—21no—
702C22×D79—21no—
703C22×D79—42no—
704C22×D79—42no—
705C22×D79—42no—
706C22×D79—42no—
707C22×D79—81no—
708C22×D79—81no—
709C22×D79—81no—
710C22×D79—81no—
711C22×D79—81no—
712C22×D79C22×D411yescharacteristic
713Q8×C79—81no—
714D4×C79—22no—
715D4×C79—21no—
716D4×C79—21no—
717D4×C79—21no—
718D4×C79—21no—
719D4×C79—42no—
720D4×C79—42no—
721D4×C79—81no—
722D4×C79—81no—
723C2×C4×C79—21no—
724C2×C4×C79—21no—
725C2×C4×C79—21no—
726C2×C4×C79—21no—
727C2×C4×C79—21no—
728C2×C4×C79—21no—
729C2×C4×C79—21no—
730C2×C4×C79—21no—
731C2×C4×C79—21no—
732C2×C4×C79—21no—
733C2×C4×C79—42no—
734C2×C4×C79—81no—
735C2×C4×C79—81no—
736C2×C4×C79—81no—
737C2×C4×C79—81no—
738C2×C4×C79C22×D411yescharacteristic
739C2×C4×C79C22×D411yescharacteristic
740C2×C4×C79C22×D411yescharacteristic
741C2×C4×C79C22×D411yescharacteristic
742C2×C4×C79C2511yescharacteristic
743C22⋊D79—22no—
744C22⋊D79—22no—
745C22⋊D79—42no—
746C22⋊D79—42no—
747C22⋊D79—42no—
748C22⋊D79—42no—
749C22⋊D79—42no—
750C22⋊D79—42no—
751C22⋊D79—42no—
752C22⋊D79—81no—
753C22⋊D79—81no—
754C22⋊D79—81no—
755C22⋊D79—81no—
756C22⋊D79—81no—
757C2×Dic79—22no—
758C2×Dic79—21no—
759C2×Dic79—22no—
760C2×Dic79—21no—
761C2×Dic79—21no—
762C2×Dic79—21no—
763C2×Dic79—42no—
764C2×Dic79—42no—
765C2×Dic79—81no—
766C2×Dic79—81no—
767C2×Dic79C22×D411yescharacteristic
768C2×Dic79C22×D411yescharacteristic
769C2×Dic79C22×D411yescharacteristic
770C2×Dic79C22×D411yescharacteristic
771C2×Dic79C22×D411yescharacteristic
772C2×Dic79C22×D411yescharacteristic
773C2×Dic79C22×D411yescharacteristic
774D316—21no—
775D316—21no—
776D316—21no—
777D316—21no—
778D316—21no—
779D316—21no—
780D316—21no—
781D316—42no—
782D316—42no—
783D316—81no—
784D316—81no—
785D316—81no—
786D316—81no—
787D316—81no—
788D316C2×#4112yes—
789C4×D79—21no—
790C4×D79—21no—
791C4×D79—42no—
792C4×D79—42no—
793C4×D79—42no—
794C4×D79—81no—
795C4×D79—81no—
796C4×D79—81no—
797C4×D79—81no—
798C4×D79—81no—
799C4×D79—81no—
800C4×D79—81no—
801C4×D79—81no—
802C4×D79—81no—
803Dic158—21no—
804Dic158—22no—
805Dic158—21no—
806Dic158—21no—
807Dic158—42no—
808Dic158—81no—
809Dic158—81no—
810Dic158—81no—
811Dic158C2×#4112yes—
812C8×C79—21no—
813C8×C79—21no—
814C8×C79—21no—
815C8×C79C2×#4112yes—
816C79⋊C8—21no—
817C79⋊C8—21no—
818C79⋊C8—21no—
819C79⋊C8—21no—
820C22×C79—21no—
821C22×C79—21no—
822C22×C79—21no—
823C22×C79—21no—
824C22×C79—21no—
825C22×C79—41no—
826C22×C79—41no—
827C22×C79—41no—
828C22×C79—41no—
829C22×C79—41no—
830C22×C79—41no—
831C22×C79#57612yes—
832C22×C79C23×D411yescharacteristic
833C2×D79—21no—
834C2×D79—22no—
835C2×D79—21no—
836C2×D79—21no—
837C2×D79—41no—
838C2×D79—41no—
839C2×D79—41no—
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—162no—
850C2×D79—162no—
851C4×C79—21no—
852C4×C79—21no—
853C4×C79—21no—
854C4×C79—21no—
855C4×C79—41no—
856C4×C79—41no—
857C4×C79—41no—
858C4×C79—41no—
859C4×C79—41no—
860C4×C79—41no—
861C4×C79C22×#4111yescharacteristic
862C4×C79#58511yescharacteristic
863Dic79—22no—
864Dic79—21no—
865Dic79—21no—
866Dic79—21no—
867Dic79—21no—
868Dic79—21no—
869Dic79—21no—
870Dic79—41no—
871Dic79—41no—
872Dic79—41no—
873Dic79#57712yes—
874#61498—791nomaximal, Sylow
875C2×C79—22no—
876C2×C79—41no—
877C2×C79—81no—
878C2×C79—81no—
879C2×C79D4×#4111yescharacteristic
880C2×C79C2×#57611yescharacteristic
881C2×C79C2×#57711yescharacteristic
882D79—41no—
883D79—42no—
884D79—81no—
885D79—81no—
886D79—81no—
887#3522—791no—
888#3519—791no—
889#3399—791no—
890#3385—791no—
891#3362—791no—
892#3361—791no—
893#3357—791no—
894#3345—791no—
895#3345D7911yescharacteristic, complemented
896#3305—791no—
897#3301—791no—
898#3301—791no—
899#3295—791no—
900#3294—791no—
901#3294—791no—
902#3274—791no—
903#3265—791no—
904#3265—791no—
905#3179—791no—
906#3179—791no—
907#3169—791no—
908#3119—791no—
909#3119—791no—
910#3118—791no—
911#3118—791no—
912#3112—791no—
913#3109—791no—
914#2966—791no—
915#2946—791no—
916#2946—791no—
917C2×C4×SD16—791no—
918C79#6149811yescharacteristic, complemented, Sylow
919C2×AGL(1,ℤ/8)—791no—
920C2×AGL(1,ℤ/8)—791no—
921C22×SD16—791no—
922#559—791no—
923#559—1581no—
924Q82—791no—
925#555—791no—
926#554—791no—
927#554—791no—
928#554—1581no—
929#553—791no—
930#553—1581no—
931#553C2×D7911yescharacteristic
932#550—791no—
933#550—791no—
934#548—791no—
935#548—791no—
936#547—791no—
937#547—1581no—
938#547—1581no—
939#547C2×D7911yescharacteristic, complemented
940#546—1581no—
941#546—1581no—
942#546—1581no—
943D42—791no—
944D42—791no—
945D42—791no—
946#542—791no—
947#542—791no—
948#542—1581no—
949#542—1581no—
950#540—791no—
951#540—791no—
952#538—1581no—
953#538—1581no—
954#532—791no—
955#532—791no—
956#532—1581no—
957#529—791no—
958#529—1581no—
959#525—1581no—
960C2×#121—1581no—
961#520—791no—
962#520—791no—
963#518—791no—
964#518—791no—
965C2×C4×Q8—791no—
966C2×C4×D4—791no—
967#501—791no—
968#501C2×D7911yescharacteristic, complemented
969#500—791no—
970#496—791no—
971#496—791no—
972#493—791no—
973#488—791no—
974#488—791no—
975#486—791no—
976#486—791no—
977#486—791no—
978#486—791no—
979#485—791no—
980#485—791no—
981#482—791no—
982#482C2×D7911yescharacteristic, complemented
983#481—791no—
984#481—791no—
985#481C2×D7911yescharacteristic, complemented
986#481C2×D7911yescharacteristic, complemented
987#480—791no—
988#480—791no—
989#480—791no—
990#480C2×D7911yescharacteristic, complemented
991#479—791no—
992#479—791no—
993#478—791no—
994#478C2×D7911yescharacteristic, complemented
995#477—791no—
996#477—791no—
997#476—791no—
998#476—791no—
999#476—791no—
1000#476C2×D7911yescharacteristic, complemented
1001#474—791no—
1002#474—791no—
1003#469—791no—
1004#469C2×D7911yescharacteristic, complemented
1005#468—791no—
1006#468—791no—
1007#466—791no—
1008#466—791no—
1009#466—791no—
1010#466—791no—
1011#466—791no—
1012#466C2×D7911yescharacteristic, complemented
1013#465—791no—
1014#465—791no—
1015#463—791no—
1016#463—791no—
1017#463—791no—
1018#463—791no—
1019#460—791no—
1020#460—791no—
1021#460—791no—
1022#460—791no—
1023#459—791no—
1024#459—791no—
1025#459—791no—
1026#459—791no—
1027#450—791no—
1028#450—791no—
1029#449—791no—
1030#449—791no—
1031#449—791no—
1032#449—791no—
1033#448—791no—
1034#448—791no—
1035#447—791no—
1036#447—791no—
1037#447—791no—
1038#447—791no—
1039#446—791no—
1040C8×Q8—791no—
1041#442—791no—
1042#442—791no—
1043#442—791no—
1044#442—791no—
1045#442—791no—
1046#442C2×D7911yescharacteristic, complemented
1047#440—791no—
1048#440—791no—
1049#440—791no—
1050#440—791no—
1051#440—791no—
1052#440—791no—
1053C4×SD16—791no—
1054C4×SD16—791no—
1055C4×SD16—791no—
1056C4×SD16—791no—
1057C4×SD16—791no—
1058C4×SD16—791no—
1059C4×SD16—791no—
1060C4×SD16—791no—
1061C4×SD16—791no—
1062C4×SD16—791no—
1063C4×D8—791no—
1064C4×D8—791no—
1065C4×D8—791no—
1066C4×D8—791no—
1067C4×D8—791no—
1068C4×D8—791no—
1069#436—791no—
1070#435—791no—
1071#435C2×D7911yescharacteristic, complemented
1072C8×D4—791no—
1073C8×D4—791no—
1074C8×D4—791no—
1075#433—791no—
1076#433—791no—
1077#432—791no—
1078#428—791no—
1079#428C2×D7911yescharacteristic, complemented
1080C2×#106C2×D7911yescharacteristic, complemented
1081#416—791no—
1082#416—791no—
1083C2×#103—791no—
1084C2×#102—791no—
1085C2×#102—791no—
1086C2×#102—791no—
1087#405—791no—
1088#405—791no—
1089C2×C4×C8—791no—
1090C2×#41—21no—
1091C2×#41—791no—
1092C2×#41—791no—
1093C2×#41—1581no—
1094C2×#41—1581no—
1095C2×#41—1581no—
1096C2×#41—1581no—
1097C22×Q8—791no—
1098C22×D4—791no—
1099C22×D4—791no—
1100C22×D4—791no—
1101C22×D4—1581no—
1102C22×D4—1581no—
1103C22×D4—1581no—
1104C23×C4—1581no—
1105AGL(1,ℤ/8)—1584no—
1106AGL(1,ℤ/8)—1584no—
1107C2×SD16—791no—
1108C2×SD16—791no—
1109C2×SD16—791no—
1110C2×SD16—791no—
1111C2×SD16—791no—
1112C2×SD16—791no—
1113C2×SD16—791no—
1114C2×SD16—791no—
1115C2×SD16—1584no—
1116C2×D8—791no—
1117C2×D8—791no—
1118C2×D8—791no—
1119C2×D8—791no—
1120C2×D8—791no—
1121C2×D8—791no—
1122C2×D8—791no—
1123C2×D8C22×D7911yescharacteristic
1124C2×M16—791no—
1125C2×M16C22×D7911yescharacteristic
1126C22×C8—791no—
1127C22×C8—791no—
1128C22×C8—791no—
1129C22×C8C22×D7911yescharacteristic
1130C4⋊Q8—791no—
1131C4⋊Q8—791no—
1132C4⋊Q8—791no—
1133C4⋊Q8—1581no—
1134C4⋊Q8—1581no—
1135C4⋊Q8—1581no—
1136C4⋊Q8C22×D7911yescharacteristic
1137#127—791no—
1138#127—791no—
1139#127—791no—
1140#127—791no—
1141#127—1581no—
1142#126—21no—
1143#126—791no—
1144#126—791no—
1145#126—1581no—
1146#126—1581no—
1147#126—1581no—
1148#125—791no—
1149#125—791no—
1150#125—1581no—
1151#125C22×D7911yescharacteristic
1152#124—791no—
1153#124—791no—
1154#124—791no—
1155#124—1581no—
1156#124—1581no—
1157#124—1581no—
1158#124—1581no—
1159#124—1581no—
1160#124—1581no—
1161#124—1581no—
1162#124—1581no—
1163#124—1581no—
1164#123—21no—
1165#123—21no—
1166#123—21no—
1167#123—791no—
1168#123—791no—
1169#123—1581no—
1170#123—1581no—
1171#123—1581no—
1172#123—1581no—
1173#123—1581no—
1174#123—1581no—
1175#123—1581no—
1176#123—1581no—
1177#123—1581no—
1178#123—1581no—
1179#123—1581no—
1180C22⋊Q8—21no—
1181C22⋊Q8—791no—
1182C22⋊Q8—791no—
1183C22⋊Q8—791no—
1184C22⋊Q8—1581no—
1185C22⋊Q8—1581no—
1186C22⋊Q8—1581no—
1187C22⋊Q8—1581no—
1188C22⋊Q8—1581no—
1189C22⋊Q8—1581no—
1190C22⋊Q8—1581no—
1191C22⋊Q8—1581no—
1192C22⋊Q8—1581no—
1193C22⋊Q8—1581no—
1194#121—21no—
1195#121—791no—
1196#121—791no—
1197#121—791no—
1198#121—791no—
1199#121—791no—
1200#121—791no—
1201#121—791no—
1202#121—1581no—
1203#121—1581no—
1204#121—1581no—
1205#121—1581no—
1206#121—1581no—
1207#121—1581no—
1208#121—1581no—
1209#121—1581no—
1210#121—1581no—
1211#121—1581no—
1212#121—1581no—
1213#121—1581no—
1214#121—1581no—
1215#121—1581no—
1216#121—1581no—
1217#121—1581no—
1218#121—1581no—
1219#121—1581no—
1220#121C22×D7911yescharacteristic
1221#121C22×D7911yescharacteristic
1222#121C22×D7911yescharacteristic
1223#121C22×D7911yescharacteristic
1224#120—1581no—
1225#120—1581no—
1226#120—1581no—
1227#120—1581no—
1228#120—1581no—
1229#120—1581no—
1230C4×Q8—791no—
1231C4×Q8—791no—
1232C4×Q8—791no—
1233C4×Q8—791no—
1234C4×Q8—791no—
1235C4×Q8—791no—
1236C4×Q8—791no—
1237C4×Q8—1581no—
1238C4×Q8—1581no—
1239C4×Q8—1581no—
1240C4×D4—21no—
1241C4×D4—791no—
1242C4×D4—791no—
1243C4×D4—791no—
1244C4×D4—791no—
1245C4×D4—791no—
1246C4×D4—791no—
1247C4×D4—791no—
1248C4×D4—791no—
1249C4×D4—791no—
1250C4×D4—791no—
1251C4×D4—791no—
1252C4×D4—791no—
1253C4×D4—791no—
1254C4×D4—791no—
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×D4—1581no—
1267C4×D4—1581no—
1268C4×D4—1581no—
1269C4×D4—1581no—
1270C4×D4—1581no—
1271C4×D4—1581no—
1272C4×D4—1581no—
1273C4×D4C22×D7911yescharacteristic
1274C4×D4C22×D7911yescharacteristic
1275C4×D4C22×D7911yescharacteristic
1276#117—791no—
1277#117—791no—
1278#117—791no—
1279#117—1581no—
1280#117—1581no—
1281#117—1581no—
1282#117C22×D7911yescharacteristic
1283C2×C4⋊C4—791no—
1284C2×C4⋊C4—1581no—
1285C2×C4⋊C4—1581no—
1286C2×C4⋊C4—1581no—
1287C2×C4⋊C4—1581no—
1288C2×C4⋊C4C22×D7911yescharacteristic
1289C2×C4⋊C4C22×D7911yescharacteristic
1290C2×C4⋊C4C22×D7911yescharacteristic
1291C2×C22⋊C4—1581no—
1292C2×C22⋊C4—1581no—
1293C2×C22⋊C4—1581no—
1294C2×C22⋊C4—1581no—
1295C2×C22⋊C4—1581no—
1296C2×C42—791no—
1297C2×C42—1581no—
1298#107—791no—
1299#107—791no—
1300#107—791no—
1301#107—791no—
1302#107—791no—
1303#107C22×D7911yescharacteristic
1304#107C22×D7911yescharacteristic
1305#107C22×D7911yescharacteristic
1306#106—791no—
1307#106—791no—
1308#106C22×D7911yescharacteristic
1309#106C22×D7911yescharacteristic
1310#106C22×D7911yescharacteristic
1311#106C22×D7911yescharacteristic
1312#106C22×D7911yescharacteristic
1313#106C22×D7911yescharacteristic
1314C4⋊C8—791no—
1315C4⋊C8—791no—
1316C4⋊C8—791no—
1317C4⋊C8—791no—
1318C4⋊C8—791no—
1319C4⋊C8C22×D7911yescharacteristic
1320#103—791no—
1321#103—791no—
1322#103—791no—
1323#103—791no—
1324#103—791no—
1325#103—791no—
1326#103—791no—
1327#103—791no—
1328#102—791no—
1329#102—791no—
1330#102—791no—
1331#102—791no—
1332#102—791no—
1333#102—791no—
1334#102—791no—
1335#102—791no—
1336#102—791no—
1337#102—791no—
1338#102—791no—
1339#102—791no—
1340#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
1352C22⋊C8—791no—
1353C22⋊C8—791no—
1354C22⋊C8—791no—
1355C22⋊C8—791no—
1356C22⋊C8C22×D7911yescharacteristic
1357C22⋊C8C22×D7911yescharacteristic
1358#97—791no—
1359#97—791no—
1360#97—791no—
1361#97C22×D7911yescharacteristic
1362C4×C8—791no—
1363C4×C8—791no—
1364C4×C8—791no—
1365C4×C8—791no—
1366C4×C8—791no—
1367C4×C8—791no—
1368C24—1581no—
1369C24—1581no—
1370C24—1581no—
1371#41—82no—
1372#41—3161no—
1373#41—3161no—
1374#41—6322no—
1375#41—6322no—
1376#41—6322no—
1377#41—6322no—
1378#41—1582no—
1379#41—1582no—
1380C2×Q8—21no—
1381C2×Q8—3161no—
1382C2×Q8—791no—
1383C2×Q8—791no—
1384C2×Q8—791no—
1385C2×Q8—1582no—
1386C2×Q8—1581no—
1387C2×Q8—1581no—
1388C2×Q8—1581no—
1389C2×Q8—1581no—
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—3161no—
1395C2×D4—3161no—
1396C2×D4—3161no—
1397C2×D4—791no—
1398C2×D4—791no—
1399C2×D4—791no—
1400C2×D4—791no—
1401C2×D4—791no—
1402C2×D4—791no—
1403C2×D4—6322no—
1404C2×D4—6322no—
1405C2×D4—6322no—
1406C2×D4—1582no—
1407C2×D4—1582no—
1408C2×D4—1581no—
1409C2×D4—1581no—
1410C2×D4—1581no—
1411C2×D4—1581no—
1412C2×D4—1581no—
1413C2×D4—1581no—
1414C2×D4—1581no—
1415C2×D4—1581no—
1416C2×D4—1581no—
1417C2×D4—1581no—
1418C2×D4—1582no—
1419C2×D4—1581no—
1420C2×D4—1581no—
1421C2×D4—1581no—
1422C2×D4—1581no—
1423C2×D4—1581no—
1424C2×D4—1581no—
1425C2×D4—1581no—
1426C2×D4—1581no—
1427C2×D4—1581no—
1428C2×D4D4×D7911yescharacteristic
1429C2×D4C23×D7911yescharacteristic
1430C2×D4C23×D7911yescharacteristic
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—791no—
1437C22×C4—791no—
1438C22×C4—791no—
1439C22×C4—6322no—
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×C4—1581no—
1456C22×C4C23×D7911yescharacteristic
1457C22×C4C23×D7911yescharacteristic
1458SD16—3161no—
1459SD16—3161no—
1460SD16—794no—
1461SD16—1582no—
1462SD16—1582no—
1463SD16—1582no—
1464SD16—1582no—
1465SD16—1582no—
1466D8—22no—
1467D8—3161no—
1468D8—3161no—
1469D8—3161no—
1470D8—3161no—
1471D8—1582no—
1472D8—1582no—
1473D8—1582no—
1474M16—22no—
1475M16—1582no—
1476C2×C8—22no—
1477C2×C8—3161no—
1478C2×C8—3161no—
1479C2×C8—3161no—
1480C2×C8—791no—
1481C2×C8—791no—
1482C2×C8—791no—
1483C2×C8—791no—
1484C2×C8C23×D7911yescharacteristic
1485C2×C8C23×D7911yescharacteristic
1486C2×C8C23×D7911yescharacteristic
1487C2×C8C23×D7911yescharacteristic
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
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—791no—
1503C4⋊C4—791no—
1504C4⋊C4—791no—
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⋊C4D4×D7911yescharacteristic
1520C4⋊C4C23×D7911yescharacteristic
1521C4⋊C4C23×D7911yescharacteristic
1522C4⋊C4C23×D7911yescharacteristic
1523C4⋊C4C23×D7911yescharacteristic
1524C4⋊C4C23×D7911yescharacteristic
1525C4⋊C4C23×D7911yescharacteristic
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—791no—
1534C22⋊C4—791no—
1535C22⋊C4—791no—
1536C22⋊C4—791no—
1537C22⋊C4—791no—
1538C22⋊C4—791no—
1539C22⋊C4—791no—
1540C22⋊C4—791no—
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⋊C4D4×D7911yescharacteristic
1567C22⋊C4D4×D7911yescharacteristic
1568C42—21no—
1569C42—791no—
1570C42—791no—
1571C42—791no—
1572C42—791no—
1573C42—791no—
1574C42—1581no—
1575C42—1581no—
1576C42—1581no—
1577C42—1581no—
1578C42—1581no—
1579C42—1581no—
1580C42—1581no—
1581C42C23×D7911yescharacteristic
1582C23—21no—
1583C23—21no—
1584C23—3162no—
1585C23—3162no—
1586C23—3162no—
1587C23—3162no—
1588C23—791no—
1589C23—6321no—
1590C23—6321no—
1591C23—6321no—
1592C23—6321no—
1593C23—6321no—
1594C23—1581no—
1595C23—1581no—
1596C23—1581no—
1597C23—1581no—
1598C23C2×D4×D7911yescharacteristic
1599C23C2×D4×D7911yescharacteristic
1600Q8—81no—
1601Q8—3162no—
1602Q8—792no—
1603Q8—6321no—
1604Q8—6321no—
1605Q8—6321no—
1606Q8—1582no—
1607Q8—1581no—
1608Q8—1581no—
1609Q8—1581no—
1610D4—22no—
1611D4—21no—
1612D4—21no—
1613D4—21no—
1614D4—21no—
1615D4—42no—
1616D4—42no—
1617D4—81no—
1618D4—81no—
1619D4—3162no—
1620D4—3162no—
1621D4—3162no—
1622D4—3162no—
1623D4—3162no—
1624D4—3162no—
1625D4—3162no—
1626D4—3162no—
1627D4—3162no—
1628D4—792no—
1629D4—6321no—
1630D4—6321no—
1631D4—6321no—
1632D4—6321no—
1633D4—6321no—
1634D4—6321no—
1635D4—6321no—
1636D4—6321no—
1637D4—6321no—
1638D4—6321no—
1639D4—1582no—
1640D4—1582no—
1641D4—1581no—
1642D4—1581no—
1643D4—1581no—
1644D4—1581no—
1645D4—1581no—
1646D4—1581no—
1647D4—1581no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—42no—
1659C2×C4—81no—
1660C2×C4—81no—
1661C2×C4—81no—
1662C2×C4—81no—
1663C2×C4—3162no—
1664C2×C4—3162no—
1665C2×C4—3162no—
1666C2×C4—3162no—
1667C2×C4—3162no—
1668C2×C4—791no—
1669C2×C4—791no—
1670C2×C4—791no—
1671C2×C4—791no—
1672C2×C4—791no—
1673C2×C4—791no—
1674C2×C4—791no—
1675C2×C4—6321no—
1676C2×C4—6321no—
1677C2×C4—6321no—
1678C2×C4—6321no—
1679C2×C4—6321no—
1680C2×C4—6321no—
1681C2×C4—6321no—
1682C2×C4—6321no—
1683C2×C4—6321no—
1684C2×C4—6321no—
1685C2×C4—6321no—
1686C2×C4—1581no—
1687C2×C4—1581no—
1688C2×C4—1581no—
1689C2×C4—1582no—
1690C2×C4—1582no—
1691C2×C4—1581no—
1692C2×C4—1581no—
1693C2×C4—1581no—
1694C2×C4C2×D4×D7911yescharacteristic
1695C2×C4C2×D4×D7911yescharacteristic
1696C2×C4C2×D4×D7911yescharacteristic
1697C2×C4C2×D4×D7911yescharacteristic
1698C2×C4C24×D7911yescharacteristic
1699C8—21no—
1700C8—21no—
1701C8—21no—
1702C8—1581no—
1703C8—1581no—
1704C8—1581no—
1705C8—1581no—
1706C8#41×D7912yes—
1707C22—21no—
1708C22—21no—
1709C22—21no—
1710C22—21no—
1711C22—21no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—3161no—
1719C22—3161no—
1720C22—3161no—
1721C22—3161no—
1722C22—3161no—
1723C22—3161no—
1724C22—3161no—
1725C22—3161no—
1726C22—3161no—
1727C22—3161no—
1728C22—3161no—
1729C22—6324no—
1730C22—1581no—
1731C22—1581no—
1732C22—1581no—
1733C22—1582no—
1734C22—12642no—
1735C22—12642no—
1736C22#1909936712yes—
1737C22C22×D4×D7911yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—3161no—
1749C4—3161no—
1750C4—3161no—
1751C4—792no—
1752C4—1581no—
1753C4—1581no—
1754C4—1581no—
1755C4—1581no—
1756C4—1581no—
1757C4—1582no—
1758C4—1581no—
1759C4C2×#41×D7911yescharacteristic
1760C4#1909940011yescharacteristic
1761C2—22no—
1762C2—41no—
1763C2—81no—
1764C2—81no—
1765C2—3162no—
1766C2—3161no—
1767C2—6321no—
1768C2—6321no—
1769C2—6321no—
1770C2#2377688711yescharacteristic
1771C2C2×#1909936711yescharacteristic
1772C2#577×D7911yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3345C2
socleC22×C79C23×D4
hypercenter#3345D79
hypocenterC79#61498
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3345

Complements

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

NH ≅ G/Ntype
1. #23777478C2semidirect
2. #23777428C2semidirect
3. #23776443C2semidirect
4. #23776307C2semidirect
5. #23776070C2semidirect
6. #23776063C2semidirect
7. #23776022C2semidirect
8. #23775866C2semidirect
9. #23775348C2semidirect
10. #23775300C2semidirect
11. #23775296C2semidirect
12. #23775222C2semidirect
13. #23775211C2semidirect
14. #23775207C2semidirect
15. #23775017C2semidirect
16. #23774900C2semidirect
17. #23774892C2semidirect
18. #23774088C2semidirect
19. #23774084C2semidirect
20. #23773974C2semidirect
21. #23773604C2semidirect
22. #23773594C2semidirect
23. #23773589C2semidirect
24. #23773579C2semidirect
25. #23773519C2semidirect
26. #23773488C2semidirect
27. #23772370C2semidirect
28. #23772230C2semidirect
29. #23772229C2semidirect
30. C2×#19098650C2semidirect
31. C79×#3345C2semidirect
36. #19099296C22semidirect
37. #19099293C22semidirect
40. #19099268C22semidirect
45. #19099231C22semidirect
46. #19099222C22semidirect
47. #19099219C22semidirect
48. #19099214C22semidirect
57. #19099187C22semidirect
60. #19099180C22semidirect
67. #19099108C22semidirect
72. #19099044C22semidirect
73. #19099042C22semidirect
76. C2×#14579126C22semidirect
78. #19098970C22semidirect
79. #19098967C22semidirect
80. #19098952C22semidirect
81. #19098951C22semidirect
82. #19098938C22semidirect
83. #19098920C22semidirect
84. #19098916C22semidirect
85. #19098911C22semidirect
86. #19098908C22semidirect
87. #19098908C22semidirect
88. #19098908C22semidirect
89. #19098907C22semidirect
90. #19098904C22semidirect
91. #19098889C22semidirect
92. #19098883C22semidirect
93. #19098881C22semidirect
94. #19098878C22semidirect
95. #19098876C22semidirect
96. #19098876C22semidirect
97. #19098873C22semidirect
98. #19098867C22semidirect
99. #19098862C22semidirect
100. #19098857C22semidirect
101. #19098857C22semidirect
103. #19098852C22semidirect
104. #19098852C22semidirect
107. #19098817C22semidirect
108. #19098810C22semidirect
109. #19098809C22semidirect
110. #19098800C22semidirect
111. #19098799C22semidirect
112. #19098797C22semidirect
113. #19098797C22semidirect
114. #19098797C22semidirect
115. #19098793C22semidirect
116. #19098790C22semidirect
118. #19098778C22semidirect
120. #19098777C22semidirect
121. #19098764C22semidirect
122. #19098762C22semidirect
123. #19098762C22semidirect
124. #19098762C22semidirect
125. #19098758C22semidirect
127. #19098757C22semidirect
128. #19098757C22semidirect
131. #19098710C22semidirect
132. #19098709C22semidirect
133. #19098709C22semidirect
134. #19098706C22semidirect
135. #19098704C22semidirect
136. #19098701C22semidirect
141. #19098691C22semidirect
142. #19098687C22semidirect
144. #19098674C22semidirect
145. #19098674C22semidirect
147. #19098672C22semidirect
150. #19098662C22semidirect
151. #19098662C22semidirect
152. #19098660C22semidirect
153. #19098660C22semidirect
158. #19098650C22semidirect
159. #19098650C22semidirect
160. #19098650C22semidirect
161. #19098650C22semidirect
162. #19098650C22semidirect
163. C4×#11929612C22semidirect
164. D8×Dic79C22semidirect
166. #19098645C22semidirect
168. #19098643C22semidirect
169. #19098643C22semidirect
170. #19098639C22semidirect
171. #19098634C22semidirect
172. D4×C79⋊C8C22semidirect
173. (C22⋊D79)⋊C8C22semidirect
174. (C22⋊D79)⋊C8C22semidirect
175. #19098623C22semidirect
176. #19098621C22semidirect
177. #19098617C22semidirect
178. #19098602C22semidirect
179. #19098557C22semidirect
180. #19098556C22semidirect
181. C2×#14579084C22semidirect
185. #19098521C22semidirect
186. #19098520C22semidirect
187. C2×C8×Dic79C22semidirect
189. #547×C79C22semidirect
190. #501×C79C22semidirect
191. #482×C79C22semidirect
192. #481×C79C22semidirect
193. #481×C79C22semidirect
194. #480×C79C22semidirect
195. #478×C79C22semidirect
196. #476×C79C22semidirect
197. #469×C79C22semidirect
198. #466×C79C22semidirect
199. #442×C79C22semidirect
200. #435×C79C22semidirect
201. #428×C79C22semidirect
202. C2×#106×C79C22semidirect
560. #11929613#41semidirect
895. #3345D79semidirect
918. C79#61498semidirect
939. #547C2×D79semidirect
968. #501C2×D79semidirect
982. #482C2×D79semidirect
985. #481C2×D79semidirect
986. #481C2×D79semidirect
990. #480C2×D79semidirect
994. #478C2×D79semidirect
1000. #476C2×D79semidirect
1004. #469C2×D79semidirect
1012. #466C2×D79semidirect
1046. #442C2×D79semidirect
1071. #435C2×D79semidirect
1079. #428C2×D79semidirect
1080. C2×#106C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237774782
#237774282
#237764432
#237763072
#237760702
#237760632
#237760222
#237758662
#237753482
#237753002
#237752962
#237752222
#237752112
#237752072
#237750172
#237749002
#237748922
#237740882
#237740842
#237739742
#237736042
#237735942
#237735892
#237735792
#237735192
#237734882
#237723702
#237722302
#237722292
C2×#190986502
C79×#33452
#6149879