Finite Group Databasebeta

← #35196418

Subgroups — #35196418

Order 20224.

7230 conjugacy classes of subgroups.

The subgroup lattice has 1526 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777473C214yesmaximal, complemented
2#23777463C214yesmaximal, complemented
3#23777374C214yesmaximal, complemented
4#23777357C214yesmaximal, complemented
5#23777258C212yesmaximal, complemented
6#23777238C214yesmaximal, complemented
7#23777202C211yesmaximal, characteristic, complemented
8#23777163C211yesmaximal, characteristic, complemented
9#23777120C211yesmaximal, characteristic, complemented
10#23777092C214yesmaximal, complemented
11#23777042C212yesmaximal, complemented
12#23777019C214yesmaximal, complemented
13#23777007C214yesmaximal, complemented
14#23776965C214yesmaximal, complemented
15#23776957C214yesmaximal, complemented
16#23776834C211yesmaximal, characteristic, complemented
17#23776828C211yesmaximal, characteristic, complemented
18#23776811C214yesmaximal, complemented
19#23776692C212yesmaximal, complemented
20#529×D79C214yesmaximal, complemented
21#23776606C212yesmaximal, complemented
22C2×#19099031C211yesmaximal, characteristic, complemented
23C79×#3493C211yesmaximal, characteristic, complemented
24C2×#14579207C2212yes—
25C22×#11929624C2211yescharacteristic
26#19099296C2214yescomplemented
27#19099291C2214yescomplemented
28#19099285C2214yescomplemented
29#19099283C2214yescomplemented
30#19099281C2214yescomplemented
31#19099281C2214yescomplemented
32#19099276C2214yescomplemented
33#19099274C2214yescomplemented
34#19099269C2214yescomplemented
35#19099269C2214yescomplemented
36#19099268C2214yescomplemented
37#19099264C2218yescomplemented
38#19099260C2218yescomplemented
39#19099258C2218yescomplemented
40#19099257C2214yescomplemented
41#19099254C2218yescomplemented
42#19099252C2218yescomplemented
43#19099252C2214yescomplemented
44#19099252C2214yescomplemented
45#19099249C2218yescomplemented
46#19099249C2218yescomplemented
47#19099248C2214yescomplemented
48#19099245C2218yescomplemented
49#19099243C2218yescomplemented
50#19099243C2218yescomplemented
51#19099242C2218yescomplemented
52#19099238C2218yescomplemented
53#19099237C2218yescomplemented
54#19099236C2218yescomplemented
55#19099228C2214yescomplemented
56#19099221C2218yescomplemented
57#19099218C2214yescomplemented
58#19099218C2214yescomplemented
59#19099215C2214yescomplemented
60#19099215C2214yescomplemented
61#19099215C2214yescomplemented
62#19099210C2214yescomplemented
63#19099210C2214yescomplemented
64#19099210C2214yescomplemented
65#19099209C2214yescomplemented
66#19099209C2214yescomplemented
67#19099204C2214yescomplemented
68#19099202C2218yescomplemented
69#19099197C2214yescomplemented
70#19099194C2211yescharacteristic, complemented
71#19099188C2214yescomplemented
72#19099187C2214yescomplemented
73#19099180C2214yescomplemented
74#19099176C2214yescomplemented
75#19099173C2214yescomplemented
76#19099162C2214yescomplemented
77#19099158C2214yescomplemented
78#19099156C2218yescomplemented
79#19099155C2218yescomplemented
80#19099154C2218yescomplemented
81#19099151C2214yescomplemented
82#19099147C2218yescomplemented
83#19099145C2218yescomplemented
84#19099144C2211yescharacteristic
85#19099139C2212yescomplemented
86#19099134C2212yescomplemented
87#19099123C2218yescomplemented
88#19099121C2214yes—
89#19099118C2214yescomplemented
90#19099116C2212yescomplemented
91#19099115C2214yescomplemented
92#19099115C2212yescomplemented
93#19099115C2212yescomplemented
94#19099109C2212yes—
95#19099108C2212yescomplemented
96#19099108C2212yescomplemented
97#19099100C2214yescomplemented
98#19099099C2214yescomplemented
99#19099099C2212yescomplemented
100#19099099C2212yescomplemented
101#19099098C2214yescomplemented
102#19099098C2214yescomplemented
103#19099097C2214yescomplemented
104#19099096C2218yescomplemented
105#19099096C2218yescomplemented
106#19099095C2214yescomplemented
107#19099094C2214yescomplemented
108#19099094C2214yescomplemented
109#19099094C2212yescomplemented
110#19099094C2212yescomplemented
111#19099093C2214yescomplemented
112#19099093C2218yescomplemented
113#19099093C2214yescomplemented
114#19099092C2218yescomplemented
115#19099092C2214yescomplemented
116#19099091C2218yescomplemented
117#19099090C2214yescomplemented
118#19099090C2214yescomplemented
119#126×D79C2218yescomplemented
120#125×D79C2214yescomplemented
121#124×D79C2214yescomplemented
122#19099074C2212yescomplemented
123#19099073C2218yescomplemented
124#19099071C2218yescomplemented
125#19099069C2214yescomplemented
126#19099069C2214yescomplemented
127#123×D79C2218yescomplemented
128C22⋊Q8×D79C2214yescomplemented
129#121×D79C2214yes—
130#19099045C2214yescomplemented
131#19099044C2214yescomplemented
132#19099044C2212yescomplemented
133#19099037C2212yes—
134#19099037C2214yescomplemented
135#19099035C2218yescomplemented
136#19099035C2214yescomplemented
137#41×Dic79C2212yescomplemented
138C4×#11929625C2214yescomplemented
139#19099031C2212yescomplemented
140#19099031C2214yescomplemented
141#19099031C2214yescomplemented
142#19099031C2214yescomplemented
143#19099031C2214yescomplemented
144#19099031C2214yescomplemented
145C4×#11929623C2214yescomplemented
146C4×#11929623C2214yescomplemented
147C2×#14579126C2211yescharacteristic, complemented
148C2×#14579126C2211yescharacteristic, complemented
149C4×Q8×D79C2214yescomplemented
150C2×#14579123C2211yescharacteristic
151C2×#14579123C2211yescharacteristic
152C2×#14579123C2214yescomplemented
153C2×(C22⋊D79)⋊C4C2212yescomplemented
154C2×(C22⋊D79)⋊C4C2212yescomplemented
155C4×D4×D79C2218yescomplemented
156C4×D4×D79C2214yescomplemented
157C4×D4×D79C2214yescomplemented
158C2×#14579118C2212yescomplemented
159#117×D79C2218yescomplemented
160C22×C4×Dic79C2211yescharacteristic, complemented
161C2×C42×D79C2212yescomplemented
162#556×C79C2214yescomplemented
163#555×C79C2214yescomplemented
164#553×C79C2214yescomplemented
165#552×C79C2214yescomplemented
166#544×C79C2211yescharacteristic, complemented
167#538×C79C2214yescomplemented
168#537×C79C2211yescharacteristic
169#529×C79C2214yescomplemented
170#525×C79C2212yescomplemented
171#520×C79C2212yescomplemented
172C2×#117×C79C2211yescharacteristic, complemented
173#14579207—216no—
174C2×#11929625C2314yes—
175C2×#11929624—28no—
176C2×#11929624C2312yes—
177C2×#11929624C2314yes—
178C2×#11929624C2314yes—
179C2×#11929624C2314yes—
180C2×#11929623C2314yes—
181C2×#11929623C2314yes—
182C22×Dic158C2311yescharacteristic
183C2×Q8×D79C2314yes—
184C22×D316C2314yes—
185C22×D316C2311yescharacteristic
186C22×C22⋊D79C2312yes—
187C2×D4×D79C2314yes—
188C2×D4×D79C2318yes—
189C2×D4×D79C2314yes—
190C23×Dic79C2311yescharacteristic
191C23×Dic79C2311yescharacteristic
192C22×C4×D79C2312yes—
193C22×C4×D79C2312yes—
194C22×C4×D79C2312yes—
195C22×C4×D79C2318yes—
196#14579161C2314yes—
197#14579160C2314yes—
198#14579160C2312yes—
199#14579160C2312yes—
200#14579159C2314yes—
201#14579159C2312yes—
202#14579157C2312yes—
203#14579156C2318yes—
204#14579156C2318yes—
205#14579156C2318yes—
206#14579156C2314yes—
207#14579156C2314yes—
208#14579155C2318yes—
209#14579155C2318yes—
210#14579154C2318yes—
211#14579154C2318yes—
212#14579154C2318yes—
213#14579154C2318yes—
214#14579154C2314yes—
215#14579154C2318yes—
216#14579154C2314yes—
217#14579153C2318yes—
218#14579153C2314yes—
219#14579152C2314yes—
220#14579152C2314yes—
221#14579152C2318yes—
222#14579152C2314yes—
223#14579152C2312yes—
224#14579152C2312yes—
225#14579151C2318yes—
226#14579151C2318yes—
227#14579151C2314yes—
228#14579151C2318yes—
229#14579151C2314yes—
230#14579150C2314yes—
231#14579150C2312yes—
232#14579149C2314yes—
233#14579149C2314yes—
234#14579148C2314yes—
235#14579148C2314yes—
236#14579148C2312yes—
237#14579147C2318yes—
238#14579147C2318yes—
239#14579147C2314yes—
240#14579147C2314yes—
241#14579146C2318yes—
242#14579146C2318yes—
243#14579146C2318yes—
244#14579146C2318yes—
245#14579145C2318yes—
246#14579145C2314yes—
247#14579145C2314yes—
248#14579144C2318yes—
249#14579144C2314yes—
250#14579143C2318yes—
251#14579143C2318yes—
252#14579143C2318yes—
253#14579143C2318yes—
254#14579143C2318yes—
255#14579143C2318yes—
256#14579143C2318yes—
257#14579142C2314yes—
258#14579142C2318yes—
259#14579142C2318yes—
260#14579142C2314yes—
261#14579141C2314yes—
262#14579141C2314yes—
263#14579141C2314yes—
264#14579141C2318yes—
265#14579141C2314yes—
266#14579140C2314yes—
267#14579140C2318yes—
268#14579140C2314yes—
269#14579140C2314yes—
270#14579140C2312yes—
271#14579140C2312yes—
272#14579139C2318yes—
273#14579139C2318yes—
274#14579139C2318yes—
275#14579139C2318yes—
276#14579138C2314yes—
277#14579138C2314yes—
278#14579138C2318yes—
279#14579138C2314yes—
280#14579138C2314yes—
281#14579137C2318yes—
282#14579137C2318yes—
283#14579137C2314yes—
284#14579136C2314yes—
285#14579136C2314yes—
286#14579135C2314yes—
287#14579135C2312yes—
288#14579135C2312yes—
289#14579134C2318yes—
290#14579134C2318yes—
291#14579134C2318yes—
292#14579134C2318yes—
293#14579133C2314yes—
294#14579133C2314yes—
295#14579133C2314yes—
296#14579133C2314yes—
297#14579132C2318yes—
298#14579132C2318yes—
299#14579132C2314yes—
300#14579131C2318yes—
301#14579130C2314yes—
302#14579129C2318yes—
303#14579129C2318yes—
304#14579129C2318yes—
305Q8×Dic79C2312yes—
306Q8×Dic79C2314yes—
307Q8×Dic79C2312yes—
308C4×Dic158C2318yes—
309C4×Dic158C2314yes—
310C4×Dic158C2314yes—
311C4×Dic158C2314yes—
312#14579126C2314yes—
313#14579126C2312yes—
314#14579126C2314yes—
315#14579126C2314yes—
316#14579126C2314yes—
317#14579126C2314yes—
318#14579126C2314yes—
319#14579126C2314yes—
320#14579126C2314yes—
321#14579126C2312yes—
322C4×D316C2318yes—
323C4×D316C2314yes—
324C4×D316C2314yes—
325C4×D316C2318yes—
326C4×D316C2314yes—
327D4×Dic79C2314yes—
328D4×Dic79C2312yes—
329D4×Dic79C2314yes—
330D4×Dic79C2314yes—
331D4×Dic79C2312yes—
332D4×Dic79C2314yes—
333D4×Dic79C2314yes—
334#14579123C2312yes—
335#14579123C2314yes—
336#14579123C2314yes—
337#14579123C2314yes—
338#14579123C2314yes—
339#14579123C2318yes—
340#14579123C2314yes—
341#14579123C2314yes—
342#14579123C2318yes—
343#14579123C2314yes—
344#14579123C2314yes—
345#14579123C2312yes—
346C4×C22⋊D79C2318yes—
347C4×C22⋊D79C2318yes—
348C4×C22⋊D79C2314yes—
349C4×C22⋊D79C2318yes—
350C4×C22⋊D79C2314yes—
351C4×C22⋊D79C2314yes—
352C4×C22⋊D79C2314yes—
353C4×C22⋊D79C2318yes—
354(C22⋊D79)⋊C4C2318yes—
355(C22⋊D79)⋊C4C2314yes—
356(C22⋊D79)⋊C4C2318yes—
357(C22⋊D79)⋊C4C2318yes—
358(C22⋊D79)⋊C4C2318yes—
359(C22⋊D79)⋊C4C2314yes—
360(C22⋊D79)⋊C4C2314yes—
361(C22⋊D79)⋊C4C2314yes—
362(C22⋊D79)⋊C4C2314yes—
363(C22⋊D79)⋊C4C2318yes—
364(C22⋊D79)⋊C4C2318yes—
365(C22⋊D79)⋊C4C2314yes—
366#14579120C2314yes—
367#14579120C2312yes—
368#14579120C2318yes—
369#14579119C2318yes—
370#14579119C2314yes—
371#14579119C2314yes—
372#14579119C2314yes—
373#14579119C2318yes—
374#14579118C2314yes—
375#14579118C2318yes—
376#14579118C2318yes—
377#14579118C2318yes—
378#14579118C2318yes—
379#14579118C2318yes—
380#14579117C2314yes—
381#14579117C2314yes—
382#14579117C2314yes—
383#14579117C2318yes—
384#14579117C2314yes—
385C2×Dic79⋊C4C2312yes—
386C2×Dic79⋊C4C2312yes—
387C4⋊C4×D79C2318yes—
388C4⋊C4×D79C2314yes—
389C4⋊C4×D79C2318yes—
390C4⋊C4×D79C2318yes—
391C4⋊C4×D79C2314yes—
392C4⋊C4×D79C2314yes—
393C4⋊C4×D79C2318yes—
394C2×(C2×D79)⋊C4C2312yes—
395C2×(C2×D79)⋊C4C2318yes—
396C2×(C2×D79)⋊C4C2312yes—
397C22⋊C4×D79C2318yes—
398C22⋊C4×D79C2318yes—
399C22⋊C4×D79C2318yes—
400C22⋊C4×D79C2318yes—
401C22⋊C4×D79C2318yes—
402C22⋊C4×D79C2318yes—
403C2×C4×Dic79C2311yescharacteristic
404C2×C4×Dic79C2312yes—
405C2×C4×Dic79C2312yes—
406C2×C4×Dic79C2311yescharacteristic
407C2×C4×Dic79C2311yescharacteristic
408C2×C4×Dic79C2311yescharacteristic
409C2×C4×Dic79C2312yes—
410C2×C4×Dic79C2312yes—
411C2×C4×Dic79C2312yes—
412C2×C4×Dic79C2312yes—
413C2×C4×Dic79C2314yes—
414C42×D79C2314yes—
415C42×D79C2314yes—
416C42×D79C2314yes—
417C42×D79C2314yes—
418C42×D79C2318yes—
419C42×D79C2314yes—
420C2×#41×C79C2312yes—
421C23×C4×C79C2311yescharacteristic
422C4⋊Q8×C79C2314yes—
423#126×C79C2318yes—
424#126×C79C2318yes—
425#125×C79C2314yes—
426#125×C79C2314yes—
427#124×C79C2318yes—
428#124×C79C2314yes—
429#123×C79C2318yes—
430#123×C79C2314yes—
431C22⋊Q8×C79C2314yes—
432C22⋊Q8×C79C2314yes—
433C22⋊Q8×C79C2312yes—
434C22⋊Q8×C79C2312yes—
435#121×C79C2318yes—
436#121×C79C2314yes—
437#121×C79C2314yes—
438#121×C79C2312yes—
439#121×C79C2312yes—
440#120×C79C2314yes—
441C4×Q8×C79C2314yes—
442C4×Q8×C79C2314yes—
443C4×D4×C79C2318yes—
444C4×D4×C79C2314yes—
445C4×D4×C79C2314yes—
446C4×D4×C79C2314yes—
447C4×D4×C79C2314yes—
448#117×C79C2312yes—
449#117×C79C2314yes—
450#117×C79C2314yes—
451#117×C79C2318yes—
452#117×C79C2314yes—
453C2×C4⋊C4×C79C2311yescharacteristic
454C2×C4⋊C4×C79C2311yescharacteristic
455C2×C4⋊C4×C79C2314yes—
456C2×C22⋊C4×C79C2312yes—
457C2×C42×C79C2312yes—
458C23×D79C2418yes—
459C23×D79C2412yes—
460#11929625—216no—
461#11929624—216no—
462#11929624—216no—
463#11929624—216no—
464#11929624—28no—
465#11929623—48no—
466#11929623—48no—
467C2×Dic158—24no—
468C2×Dic158C2414yes—
469C2×Dic158C2414yes—
470C2×Dic158C2412yes—
471C2×Dic158C2414yes—
472C2×Dic158C2414yes—
473Q8×D79—48no—
474C2×D316—216no—
475C2×D316#4118yescomplemented
476C2×D316C2412yes—
477C2×D316C2418yes—
478C2×D316C2414yes—
479C2×D316C2414yes—
480C2×C22⋊D79—28no—
481C2×C22⋊D79C2414yes—
482C2×C22⋊D79C2418yes—
483C2×C22⋊D79C2418yes—
484C2×C22⋊D79C2414yes—
485C2×C22⋊D79C2414yes—
486C2×C22⋊D79C2414yes—
487C2×C22⋊D79C2414yes—
488D4×D79—216no—
489D4×D79—232no—
490D4×D79—48no—
491C22×Dic79—42no—
492C22×Dic79—42no—
493C22×Dic79C2412yes—
494C22×Dic79C2412yes—
495C22×Dic79C2412yes—
496C22×Dic79C2414yes—
497C22×Dic79C2411yescharacteristic
498C22×Dic79C2411yescharacteristic
499C22×Dic79C2414yes—
500C22×Dic79C2411yescharacteristic
501C22×Dic79C2411yescharacteristic
502C22×Dic79C2412yes—
503C22×Dic79C2412yes—
504C2×C4×D79—28no—
505C2×C4×D79—44no—
506C2×C4×D79—44no—
507C2×C4×D79—416no—
508C2×C4×D79C2414yes—
509C2×C4×D79C2414yes—
510C2×C4×D79C2414yes—
511C2×C4×D79C2414yes—
512C2×C4×D79C2418yes—
513C2×C4×D79C2414yes—
514C2×C4×D79C2414yes—
515C2×C4×D79C2418yes—
516C2×C4×D79C2414yes—
517C2×C4×D79C2414yes—
518C2×C4×D79C2414yes—
519C2×C4×D79C2418yes—
520C2×C4×D79C2418yes—
521C4⋊Dic79C2414yes—
522C4⋊Dic79C2412yes—
523C4⋊Dic79C2414yes—
524C4⋊Dic79C2418yes—
525C4⋊Dic79C2414yes—
526C4⋊Dic79C2414yes—
527C4⋊Dic79C2418yes—
528C4⋊Dic79C2412yes—
529C4⋊Dic79C2414yes—
530C4⋊Dic79C2414yes—
531Dic79⋊C4C2414yes—
532Dic79⋊C4C2414yes—
533Dic79⋊C4C2414yes—
534Dic79⋊C4C2414yes—
535Dic79⋊C4C2414yes—
536Dic79⋊C4C2414yes—
537Dic79⋊C4C2418yes—
538Dic79⋊C4C2418yes—
539Dic79⋊C4C2418yes—
540Dic79⋊C4C2418yes—
541Dic79⋊C4C2418yes—
542Dic79⋊C4C2418yes—
543Dic79⋊C4C2414yes—
544Dic79⋊C4C2414yes—
545Dic79⋊C4C2414yes—
546Dic79⋊C4C2414yes—
547C22⋊Dic79C2414yes—
548C22⋊Dic79C2414yes—
549C22⋊Dic79C2414yes—
550C22⋊Dic79C2414yes—
551C22⋊Dic79C2418yes—
552C22⋊Dic79C2418yes—
553C22⋊Dic79C2414yes—
554C22⋊Dic79C2414yes—
555C22⋊Dic79C2414yes—
556(C2×D79)⋊C4C2414yes—
557(C2×D79)⋊C4C2414yes—
558(C2×D79)⋊C4C2418yes—
559(C2×D79)⋊C4C2414yes—
560(C2×D79)⋊C4C2414yes—
561(C2×D79)⋊C4C2418yes—
562(C2×D79)⋊C4C2418yes—
563(C2×D79)⋊C4C2418yes—
564(C2×D79)⋊C4C2418yes—
565(C2×D79)⋊C4C2418yes—
566(C2×D79)⋊C4C2418yes—
567(C2×D79)⋊C4C2414yes—
568(C2×D79)⋊C4C2418yes—
569(C2×D79)⋊C4C2414yes—
570C4×Dic79C2411yescharacteristic
571C4×Dic79C2411yescharacteristic
572C4×Dic79C2411yescharacteristic
573C4×Dic79C2411yescharacteristic
574C4×Dic79C2414yes—
575C4×Dic79C2412yes—
576C4×Dic79C2414yes—
577C4×Dic79C2414yes—
578C4×Dic79C2414yes—
579C4×Dic79C2414yes—
580C4×Dic79C2414yes—
581C4×Dic79C2414yes—
582C4×Dic79C2418yes—
583C4×Dic79C2412yes—
584C4×Dic79C2412yes—
585C4×Dic79C2412yes—
586C4×Dic79C2412yes—
587C4×Dic79C2412yes—
588C4×Dic79C2414yes—
589C4×Dic79C2414yes—
590C24×C79C2411yescharacteristic
591#41×C79—28no—
592C2×Q8×C79C2412yes—
593C2×Q8×C79C2414yes—
594C2×D4×C79C2414yes—
595C2×D4×C79C2412yes—
596C2×D4×C79C2414yes—
597C2×D4×C79C2414yes—
598C2×D4×C79C2414yes—
599C22×C4×C79—24no—
600C22×C4×C79C2412yes—
601C22×C4×C79C2412yes—
602C22×C4×C79C2414yes—
603C22×C4×C79C2411yescharacteristic
604C22×C4×C79C2412yes—
605C22×C4×C79C2412yes—
606C22×C4×C79C2418yes—
607C22×C4×C79C2411yescharacteristic
608C4⋊C4×C79C2414yes—
609C4⋊C4×C79C2412yes—
610C4⋊C4×C79C2414yes—
611C4⋊C4×C79C2418yes—
612C4⋊C4×C79C2412yes—
613C4⋊C4×C79C2414yes—
614C4⋊C4×C79C2418yes—
615C4⋊C4×C79C2414yes—
616C4⋊C4×C79C2414yes—
617C4⋊C4×C79C2414yes—
618C22⋊C4×C79C2418yes—
619C22⋊C4×C79C2414yes—
620C22⋊C4×C79C2414yes—
621C22⋊C4×C79C2418yes—
622C22⋊C4×C79C2418yes—
623C22⋊C4×C79C2414yes—
624C22⋊C4×C79C2414yes—
625C22⋊C4×C79C2414yes—
626C42×C79C2414yes—
627C42×C79C2414yes—
628C42×C79C2418yes—
629C42×C79C2414yes—
630C23×C79—22no—
631C23×C79—41no—
632C23×C79—41no—
633C23×C79C2514yes—
634C23×C79C2512yes—
635C23×C79C2511yescharacteristic
636C22×D79—216no—
637C22×D79—42no—
638C22×D79—42no—
639C22×D79—48no—
640C22×D79—48no—
641C22×D79C2×#4118yes—
642C22×D79C2514yes—
643C22×D79C2514yes—
644Q8×C79—24no—
645Q8×C79—44no—
646D4×C79—28no—
647D4×C79—24no—
648D4×C79—44no—
649D4×C79—44no—
650D4×C79—44no—
651C2×C4×C79—22no—
652C2×C4×C79—28no—
653C2×C4×C79—24no—
654C2×C4×C79—24no—
655C2×C4×C79—42no—
656C2×C4×C79—48no—
657C2×C4×C79—42no—
658C2×C4×C79C2×#4114yes—
659C2×C4×C79C2511yescharacteristic
660C2×C4×C79C2511yescharacteristic
661C2×C4×C79C2514yes—
662C2×C4×C79C2514yes—
663C2×C4×C79C2514yes—
664C2×C4×C79C2514yes—
665C2×C4×C79C2514yes—
666C2×C4×C79C2512yes—
667C22⋊D79—28no—
668C22⋊D79—216no—
669C22⋊D79—216no—
670C22⋊D79—28no—
671C22⋊D79—44no—
672C22⋊D79—44no—
673C22⋊D79—44no—
674C2×Dic79—24no—
675C2×Dic79—22no—
676C2×Dic79—22no—
677C2×Dic79—28no—
678C2×Dic79—24no—
679C2×Dic79—24no—
680C2×Dic79—41no—
681C2×Dic79—42no—
682C2×Dic79—42no—
683C2×Dic79—41no—
684C2×Dic79—44no—
685C2×Dic79C2512yes—
686C2×Dic79C2511yescharacteristic
687C2×Dic79C2511yescharacteristic
688C2×Dic79C2512yes—
689C2×Dic79C2514yes—
690C2×Dic79C2514yes—
691C2×Dic79C2514yes—
692C2×Dic79C2514yes—
693C2×Dic79C2511yescharacteristic
694C2×Dic79C2511yescharacteristic
695D316—216no—
696D316—24no—
697D316—44no—
698D316C2×#41116yes—
699C4×D79—28no—
700C4×D79—28no—
701C4×D79—216no—
702C4×D79—28no—
703C4×D79—28no—
704C4×D79—28no—
705C4×D79—28no—
706C4×D79—48no—
707C4×D79—48no—
708C4×D79—44no—
709C4×D79—44no—
710C4×D79—48no—
711C4×D79—44no—
712Dic158—28no—
713Dic158—24no—
714Dic158—28no—
715Dic158—44no—
716Dic158—44no—
717C22×C79—21no—
718C22×C79—21no—
719C22×C79—22no—
720C22×C79—24no—
721C22×C79—24no—
722C22×C79—22no—
723C22×C79—22no—
724C22×C79—24no—
725C22×C79—44no—
726C22×C79C22×#4112yes—
727C22×C79C2611yescharacteristic
728C2×D79—24no—
729C2×D79—24no—
730C2×D79—24no—
731C2×D79—24no—
732C2×D79—24no—
733C2×D79—48no—
734C2×D79—816no—
735C2×D79C22×#4118yes—
736C4×C79—21no—
737C4×C79—21no—
738C4×C79—24no—
739C4×C79—24no—
740C4×C79—24no—
741C4×C79—24no—
742C4×C79—24no—
743C4×C79C22×#4114yes—
744Dic79—24no—
745Dic79—24no—
746Dic79—22no—
747Dic79—24no—
748Dic79—24no—
749Dic79—21no—
750Dic79—21no—
751Dic79—22no—
752Dic79#58512yes—
753Dic79#58512yes—
754#62781—791nomaximal, Sylow
755C2×C79—22no—
756C2×C79—44no—
757C2×C79—42no—
758C2×C79C23×#4111yescharacteristic
759C2×C79C2×#58511yescharacteristic
760C2×C79C2×#58511yescharacteristic
761D79—28no—
762D79—44no—
763#3521—794no—
764#3521—794no—
765#3515—794no—
766#3514—794no—
767#3507—792no—
768#3505—794no—
769#3501—791no—
770#3496—791no—
771#3493—791no—
772#3493D7911yescharacteristic, complemented
773#3491—794no—
774#3485—792no—
775#3482—794no—
776#3481—794no—
777#3475—794no—
778#3475—794no—
779#3461—791no—
780#3461—791no—
781#3459—794no—
782#3444—792no—
783C2×#529—794no—
784C4×H(5,𝔽2)—792no—
785C2×C4×#41—791no—
786C79#6278111yescharacteristic, complemented, Sylow
787C2×H(5,𝔽2)—792no—
788C22×#41—791no—
789#559—794no—
790#557—794no—
791#556—794no—
792#556—794no—
793#556—794no—
794#556—794no—
795#556C2×D7914yescomplemented
796#555—794no—
797#555C2×D7914yescomplemented
798#554—794no—
799#554—794no—
800#554—794no—
801#554—794no—
802#553—798no—
803#553—798no—
804#553—798no—
805#553—794no—
806#553C2×D7914yescomplemented
807#552—798no—
808#552—798no—
809#552—798no—
810#552—798no—
811#552—798no—
812#552—794no—
813#552—794no—
814#552—794no—
815#552C2×D7914yescomplemented
816#551—798no—
817#551—798no—
818#551—798no—
819#551—798no—
820#551—798no—
821#551—798no—
822D4×Q8—794no—
823#548—798no—
824#547—794no—
825#547—794no—
826#547—794no—
827#547—794no—
828#547—794no—
829#546—794no—
830#546—798no—
831#546—794no—
832#546—794no—
833#546—794no—
834#546—794no—
835#546—794no—
836D42—794no—
837#544—791no—
838#544C2×D7911yescharacteristic, complemented
839#543—794no—
840#542—794no—
841#542—794no—
842#541—794no—
843#541—794no—
844#539—798no—
845#539—798no—
846#539—794no—
847#539—794no—
848#539—798no—
849#538—798no—
850#538—798no—
851#538—794no—
852#538C2×D7914yescomplemented
853#537—791no—
854#537C2×D7911yescharacteristic
855#536—792no—
856#536—792no—
857#534—794no—
858#534—798no—
859#533—794no—
860#533—792no—
861#533—792no—
862#533—794no—
863#533—792no—
864#532—792no—
865#532—792no—
866#532—792no—
867#529—798no—
868#529—798no—
869#529—794no—
870#529—794no—
871#529—794no—
872#529—798no—
873#529—794no—
874#529—794no—
875#529—794no—
876#529—792no—
877#529—792no—
878#529—794no—
879#529—792no—
880#529—792no—
881#529—794no—
882#529—794no—
883#529—798no—
884#529—794no—
885#529—794no—
886#529—794no—
887#529—798no—
888#529—794no—
889#529C2×D7914yescomplemented
890C2×#126—798no—
891C2×#125—794no—
892C2×#124—794no—
893#525—792no—
894#525—798no—
895#525—798no—
896#525—794no—
897#525—794no—
898#525C2×D7912yescomplemented
899C2×#123—798no—
900C2×C22⋊Q8—794no—
901C2×#121—794no—
902#520—794no—
903#520—792no—
904#520—794no—
905#520C2×D7912yescomplemented
906#518—798no—
907#518—794no—
908#518—792no—
909#518—794no—
910C4×#41—792no—
911C4×#41—794no—
912C4×#41—794no—
913C4×#41—794no—
914C4×#41—794no—
915C4×#41—794no—
916C4×#41—794no—
917C4×#41—794no—
918C4×#41—792no—
919C4×#41—794no—
920C2×C4×Q8—794no—
921C2×C4×Q8—791no—
922C2×C4×Q8—791no—
923C2×C4×D4—798no—
924C2×C4×D4—794no—
925C2×C4×D4—794no—
926C2×C4×D4—791no—
927C2×C4×D4—791no—
928C2×C4×D4—794no—
929C2×C4×D4—792no—
930C2×C4×D4—792no—
931C2×#117—798no—
932C2×#117—792no—
933C2×#117C2×D7911yescharacteristic, complemented
934C22×C42—791no—
935C22×C42—792no—
936H(5,𝔽2)—15816no—
937C2×#41—794no—
938C2×#41—794no—
939C2×#41—794no—
940C2×#41—794no—
941C2×#41—794no—
942C2×#41—792no—
943C2×#41—794no—
944C2×#41—1588no—
945C2×#41C22×D7912yes—
946C22×Q8—794no—
947C22×Q8—791no—
948C22×D4—794no—
949C22×D4—792no—
950C22×D4—798no—
951C22×D4—794no—
952C22×D4—791no—
953C22×D4—794no—
954C23×C4—791no—
955C23×C4—791no—
956C23×C4—798no—
957C23×C4—792no—
958C23×C4—792no—
959C23×C4—792no—
960C23×C4C22×D7911yescharacteristic
961C4⋊Q8—792no—
962C4⋊Q8—794no—
963C4⋊Q8—792no—
964C4⋊Q8—792no—
965C4⋊Q8—794no—
966C4⋊Q8—794no—
967C4⋊Q8C22×D7914yes—
968#127—792no—
969#126—794no—
970#126—798no—
971#126—798no—
972#126—794no—
973#126—798no—
974#126—794no—
975#126—798no—
976#126—798no—
977#126—794no—
978#126—798no—
979#126—798no—
980#126—798no—
981#126—798no—
982#126—798no—
983#126C22×D7918yes—
984#126C22×D7918yes—
985#125—794no—
986#125—794no—
987#125—794no—
988#125—798no—
989#125—794no—
990#125—792no—
991#125—792no—
992#125—798no—
993#125—794no—
994#125—798no—
995#125—798no—
996#125—794no—
997#125—798no—
998#125C22×D7914yes—
999#125C22×D7914yes—
1000#124—794no—
1001#124—792no—
1002#124—794no—
1003#124—792no—
1004#124—794no—
1005#124—794no—
1006#124—798no—
1007#124—794no—
1008#124—798no—
1009#124—794no—
1010#124—794no—
1011#124C22×D7914yes—
1012#124C22×D7918yes—
1013#123—798no—
1014#123—794no—
1015#123—794no—
1016#123—798no—
1017#123—794no—
1018#123—798no—
1019#123—798no—
1020#123—798no—
1021#123—798no—
1022#123—798no—
1023#123—798no—
1024#123—798no—
1025#123—798no—
1026#123—794no—
1027#123—794no—
1028#123—798no—
1029#123—798no—
1030#123—798no—
1031#123—798no—
1032#123—798no—
1033#123C22×D7914yes—
1034#123C22×D7918yes—
1035C22⋊Q8—794no—
1036C22⋊Q8—798no—
1037C22⋊Q8—798no—
1038C22⋊Q8—794no—
1039C22⋊Q8—792no—
1040C22⋊Q8—792no—
1041C22⋊Q8—798no—
1042C22⋊Q8—794no—
1043C22⋊Q8—794no—
1044C22⋊Q8—798no—
1045C22⋊Q8—794no—
1046C22⋊Q8—798no—
1047C22⋊Q8—798no—
1048C22⋊Q8—798no—
1049C22⋊Q8—794no—
1050C22⋊Q8—798no—
1051C22⋊Q8—794no—
1052C22⋊Q8—794no—
1053C22⋊Q8—794no—
1054C22⋊Q8—794no—
1055C22⋊Q8—794no—
1056C22⋊Q8—794no—
1057C22⋊Q8—798no—
1058C22⋊Q8C22×D7914yes—
1059C22⋊Q8C22×D7912yes—
1060C22⋊Q8C22×D7912yes—
1061C22⋊Q8C22×D7914yes—
1062#121—794no—
1063#121—794no—
1064#121—794no—
1065#121—794no—
1066#121—794no—
1067#121—798no—
1068#121—798no—
1069#121—794no—
1070#121—792no—
1071#121—792no—
1072#121—794no—
1073#121—794no—
1074#121—798no—
1075#121—798no—
1076#121—798no—
1077#121—798no—
1078#121C22×D7914yes—
1079#121C22×D7918yes—
1080#121C22×D7912yes—
1081#121C22×D7912yes—
1082#121C22×D7914yes—
1083#120—794no—
1084#120—798no—
1085#120—798no—
1086#120—798no—
1087#120—798no—
1088#120C22×D7914yes—
1089C4×Q8—794no—
1090C4×Q8—792no—
1091C4×Q8—792no—
1092C4×Q8—794no—
1093C4×Q8—794no—
1094C4×Q8—794no—
1095C4×Q8—794no—
1096C4×Q8—794no—
1097C4×Q8—794no—
1098C4×Q8—792no—
1099C4×Q8—792no—
1100C4×Q8—794no—
1101C4×Q8—794no—
1102C4×Q8—798no—
1103C4×Q8—794no—
1104C4×Q8—794no—
1105C4×Q8—794no—
1106C4×Q8C22×D7914yes—
1107C4×Q8C22×D7914yes—
1108C4×D4—794no—
1109C4×D4—792no—
1110C4×D4—794no—
1111C4×D4—794no—
1112C4×D4—792no—
1113C4×D4—794no—
1114C4×D4—794no—
1115C4×D4—798no—
1116C4×D4—798no—
1117C4×D4—798no—
1118C4×D4—798no—
1119C4×D4—794no—
1120C4×D4—794no—
1121C4×D4—794no—
1122C4×D4—794no—
1123C4×D4—794no—
1124C4×D4—798no—
1125C4×D4—792no—
1126C4×D4—794no—
1127C4×D4—794no—
1128C4×D4—794no—
1129C4×D4—794no—
1130C4×D4—798no—
1131C4×D4—794no—
1132C4×D4—794no—
1133C4×D4—792no—
1134C4×D4—794no—
1135C4×D4—798no—
1136C4×D4—794no—
1137C4×D4—794no—
1138C4×D4—798no—
1139C4×D4—798no—
1140C4×D4—798no—
1141C4×D4—798no—
1142C4×D4—794no—
1143C4×D4—798no—
1144C4×D4—794no—
1145C4×D4—794no—
1146C4×D4—794no—
1147C4×D4—798no—
1148C4×D4—794no—
1149C4×D4—794no—
1150C4×D4—794no—
1151C4×D4—798no—
1152C4×D4C22×D7918yes—
1153C4×D4C22×D7914yes—
1154C4×D4C22×D7914yes—
1155C4×D4C22×D7914yes—
1156C4×D4C22×D7914yes—
1157#117—798no—
1158#117—792no—
1159#117—794no—
1160#117—794no—
1161#117—798no—
1162#117—798no—
1163#117—794no—
1164#117—794no—
1165#117—794no—
1166#117—798no—
1167#117—794no—
1168#117—794no—
1169#117—794no—
1170#117—798no—
1171#117—798no—
1172#117—798no—
1173#117—798no—
1174#117—794no—
1175#117—798no—
1176#117C22×D7918yes—
1177#117C22×D7914yes—
1178#117C22×D7914yes—
1179#117C22×D7912yes—
1180#117C22×D7914yes—
1181C2×C4⋊C4—792no—
1182C2×C4⋊C4—792no—
1183C2×C4⋊C4—798no—
1184C2×C4⋊C4—798no—
1185C2×C4⋊C4—798no—
1186C2×C4⋊C4—794no—
1187C2×C4⋊C4—794no—
1188C2×C4⋊C4—794no—
1189C2×C4⋊C4—798no—
1190C2×C4⋊C4C22×D7911yescharacteristic
1191C2×C4⋊C4C22×D7911yescharacteristic
1192C2×C4⋊C4C22×D7914yes—
1193C2×C22⋊C4—792no—
1194C2×C22⋊C4—792no—
1195C2×C22⋊C4—798no—
1196C2×C22⋊C4—798no—
1197C2×C22⋊C4—798no—
1198C2×C22⋊C4—798no—
1199C2×C22⋊C4—798no—
1200C2×C22⋊C4—798no—
1201C2×C22⋊C4—798no—
1202C2×C22⋊C4C22×D7912yes—
1203C2×C42—791no—
1204C2×C42—791no—
1205C2×C42—792no—
1206C2×C42—792no—
1207C2×C42—791no—
1208C2×C42—794no—
1209C2×C42—792no—
1210C2×C42—792no—
1211C2×C42—792no—
1212C2×C42—792no—
1213C2×C42—791no—
1214C2×C42—794no—
1215C2×C42—798no—
1216C2×C42—794no—
1217C2×C42—794no—
1218C2×C42—794no—
1219C2×C42—794no—
1220C2×C42C22×D7912yes—
1221C24—792no—
1222C24—798no—
1223C24C23×D7911yescharacteristic
1224#41—28no—
1225#41—3168no—
1226#41—3168no—
1227#41—15816no—
1228#41—15816no—
1229#41—15816no—
1230#41—15816no—
1231#41—1588no—
1232C2×Q8—3168no—
1233C2×Q8—794no—
1234C2×Q8—794no—
1235C2×Q8—794no—
1236C2×Q8—794no—
1237C2×Q8—792no—
1238C2×Q8—1584no—
1239C2×Q8C23×D7912yes—
1240C2×Q8C23×D7914yes—
1241C2×D4—3168no—
1242C2×D4—794no—
1243C2×D4—794no—
1244C2×D4—794no—
1245C2×D4—798no—
1246C2×D4—798no—
1247C2×D4—794no—
1248C2×D4—794no—
1249C2×D4—798no—
1250C2×D4—794no—
1251C2×D4—794no—
1252C2×D4—798no—
1253C2×D4—792no—
1254C2×D4—15816no—
1255C2×D4—15816no—
1256C2×D4—15832no—
1257C2×D4—1588no—
1258C2×D4C23×D7914yes—
1259C2×D4C23×D7912yes—
1260C2×D4C23×D7914yes—
1261C2×D4C23×D7914yes—
1262C2×D4C23×D7914yes—
1263C22×C4—24no—
1264C22×C4—3164no—
1265C22×C4—31616no—
1266C22×C4—3164no—
1267C22×C4—3162no—
1268C22×C4—3162no—
1269C22×C4—791no—
1270C22×C4—791no—
1271C22×C4—792no—
1272C22×C4—792no—
1273C22×C4—794no—
1274C22×C4—794no—
1275C22×C4—794no—
1276C22×C4—798no—
1277C22×C4—794no—
1278C22×C4—798no—
1279C22×C4—798no—
1280C22×C4—791no—
1281C22×C4—791no—
1282C22×C4—792no—
1283C22×C4—792no—
1284C22×C4—792no—
1285C22×C4—794no—
1286C22×C4—794no—
1287C22×C4—794no—
1288C22×C4—794no—
1289C22×C4—794no—
1290C22×C4—798no—
1291C22×C4—794no—
1292C22×C4—794no—
1293C22×C4—1588no—
1294C22×C4C23×D7911yescharacteristic
1295C22×C4C23×D7912yes—
1296C22×C4C23×D7912yes—
1297C22×C4C23×D7914yes—
1298C22×C4C23×D7912yes—
1299C22×C4C23×D7912yes—
1300C22×C4C23×D7918yes—
1301C22×C4C23×D7911yescharacteristic
1302C4⋊C4—794no—
1303C4⋊C4—794no—
1304C4⋊C4—794no—
1305C4⋊C4—794no—
1306C4⋊C4—798no—
1307C4⋊C4—794no—
1308C4⋊C4—794no—
1309C4⋊C4—798no—
1310C4⋊C4—798no—
1311C4⋊C4—798no—
1312C4⋊C4—798no—
1313C4⋊C4—798no—
1314C4⋊C4—794no—
1315C4⋊C4—794no—
1316C4⋊C4—794no—
1317C4⋊C4—794no—
1318C4⋊C4—794no—
1319C4⋊C4—792no—
1320C4⋊C4—794no—
1321C4⋊C4—798no—
1322C4⋊C4—794no—
1323C4⋊C4—794no—
1324C4⋊C4—798no—
1325C4⋊C4—792no—
1326C4⋊C4—794no—
1327C4⋊C4—794no—
1328C4⋊C4C23×D7914yes—
1329C4⋊C4C23×D7914yes—
1330C4⋊C4C23×D7914yes—
1331C4⋊C4C23×D7918yes—
1332C4⋊C4C23×D7918yes—
1333C4⋊C4C23×D7914yes—
1334C4⋊C4C23×D7914yes—
1335C4⋊C4C23×D7912yes—
1336C4⋊C4C23×D7914yes—
1337C4⋊C4C23×D7912yes—
1338C22⋊C4—794no—
1339C22⋊C4—794no—
1340C22⋊C4—794no—
1341C22⋊C4—794no—
1342C22⋊C4—798no—
1343C22⋊C4—798no—
1344C22⋊C4—794no—
1345C22⋊C4—794no—
1346C22⋊C4—794no—
1347C22⋊C4—798no—
1348C22⋊C4—794no—
1349C22⋊C4—794no—
1350C22⋊C4—798no—
1351C22⋊C4—798no—
1352C22⋊C4—794no—
1353C22⋊C4—794no—
1354C22⋊C4—794no—
1355C22⋊C4—798no—
1356C22⋊C4—798no—
1357C22⋊C4—798no—
1358C22⋊C4—798no—
1359C22⋊C4—798no—
1360C22⋊C4—794no—
1361C22⋊C4C23×D7914yes—
1362C22⋊C4C23×D7914yes—
1363C22⋊C4C23×D7914yes—
1364C22⋊C4C23×D7918yes—
1365C22⋊C4C23×D7918yes—
1366C22⋊C4C23×D7918yes—
1367C22⋊C4C23×D7914yes—
1368C22⋊C4C23×D7914yes—
1369C42—791no—
1370C42—791no—
1371C42—792no—
1372C42—791no—
1373C42—791no—
1374C42—792no—
1375C42—794no—
1376C42—794no—
1377C42—794no—
1378C42—792no—
1379C42—794no—
1380C42—792no—
1381C42—794no—
1382C42—792no—
1383C42—792no—
1384C42—794no—
1385C42—794no—
1386C42—794no—
1387C42—798no—
1388C42—794no—
1389C42C23×D7914yes—
1390C42C23×D7914yes—
1391C42C23×D7918yes—
1392C42C23×D7914yes—
1393C23—22no—
1394C23—41no—
1395C23—41no—
1396C23—3162no—
1397C23—3162no—
1398C23—3168no—
1399C23—3168no—
1400C23—798no—
1401C23—794no—
1402C23—794no—
1403C23—15816no—
1404C23C24×D7914yes—
1405C23C24×D7912yes—
1406C23C24×D7911yescharacteristic
1407Q8—24no—
1408Q8—44no—
1409Q8—3164no—
1410Q8—3164no—
1411Q8—1588no—
1412Q8—1588no—
1413Q8—1584no—
1414D4—28no—
1415D4—24no—
1416D4—44no—
1417D4—44no—
1418D4—44no—
1419D4—3164no—
1420D4—3164no—
1421D4—3164no—
1422D4—3164no—
1423D4—7916no—
1424D4—15816no—
1425D4—1588no—
1426D4—15816no—
1427D4—15816no—
1428D4—1588no—
1429D4—1584no—
1430C2×C4—22no—
1431C2×C4—24no—
1432C2×C4—24no—
1433C2×C4—28no—
1434C2×C4—42no—
1435C2×C4—48no—
1436C2×C4—42no—
1437C2×C4—3164no—
1438C2×C4—3168no—
1439C2×C4—3168no—
1440C2×C4—3164no—
1441C2×C4—3168no—
1442C2×C4—3164no—
1443C2×C4—3161no—
1444C2×C4—3162no—
1445C2×C4—3162no—
1446C2×C4—3161no—
1447C2×C4—3164no—
1448C2×C4—791no—
1449C2×C4—791no—
1450C2×C4—791no—
1451C2×C4—792no—
1452C2×C4—791no—
1453C2×C4—794no—
1454C2×C4—794no—
1455C2×C4—792no—
1456C2×C4—794no—
1457C2×C4—794no—
1458C2×C4—1588no—
1459C2×C4—1588no—
1460C2×C4—1588no—
1461C2×C4—1588no—
1462C2×C4—1588no—
1463C2×C4—15816no—
1464C2×C4—1582no—
1465C2×C4—1582no—
1466C2×C4—1588no—
1467C2×C4—1584no—
1468C2×C4—1584no—
1469C2×C4—1584no—
1470C2×C4—1588no—
1471C2×C4#41×D7914yes—
1472C2×C4C24×D7911yescharacteristic
1473C2×C4C24×D7911yescharacteristic
1474C2×C4C24×D7914yes—
1475C2×C4C24×D7914yes—
1476C2×C4C24×D7914yes—
1477C2×C4C24×D7914yes—
1478C2×C4C24×D7914yes—
1479C2×C4C24×D7912yes—
1480C22—21no—
1481C22—21no—
1482C22—22no—
1483C22—24no—
1484C22—24no—
1485C22—22no—
1486C22—22no—
1487C22—24no—
1488C22—44no—
1489C22—3168no—
1490C22—798no—
1491C22—63216no—
1492C22—1584no—
1493C22—1584no—
1494C22—1584no—
1495C22—1584no—
1496C22—1584no—
1497C22C2×#41×D7912yes—
1498C22C25×D7911yescharacteristic
1499C4—21no—
1500C4—21no—
1501C4—24no—
1502C4—24no—
1503C4—24no—
1504C4—24no—
1505C4—24no—
1506C4—792no—
1507C4—792no—
1508C4—1584no—
1509C4—1584no—
1510C4—1581no—
1511C4—1581no—
1512C4—1582no—
1513C4—1584no—
1514C4—1584no—
1515C4—1582no—
1516C4C2×#41×D7914yes—
1517C2—22no—
1518C2—42no—
1519C2—44no—
1520C2—3164no—
1521C2—1588no—
1522C2C22×#41×D7911yescharacteristic
1523C2#585×D7911yescharacteristic
1524C2#585×D7911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3493C2
hypercenter#3493D79
hypocenterC79#62781
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3493

Complements

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

NH ≅ G/Ntype
1. #23777473C2semidirect
2. #23777463C2semidirect
3. #23777374C2semidirect
4. #23777357C2semidirect
5. #23777258C2semidirect
6. #23777238C2semidirect
7. #23777202C2semidirect
8. #23777163C2semidirect
9. #23777120C2semidirect
10. #23777092C2semidirect
11. #23777042C2semidirect
12. #23777019C2semidirect
13. #23777007C2semidirect
14. #23776965C2semidirect
15. #23776957C2semidirect
16. #23776834C2semidirect
17. #23776828C2semidirect
18. #23776811C2semidirect
19. #23776692C2semidirect
20. #529×D79C2semidirect
21. #23776606C2semidirect
22. C2×#19099031C2semidirect
23. C79×#3493C2semidirect
26. #19099296C22semidirect
27. #19099291C22semidirect
28. #19099285C22semidirect
29. #19099283C22semidirect
30. #19099281C22semidirect
31. #19099281C22semidirect
32. #19099276C22semidirect
33. #19099274C22semidirect
34. #19099269C22semidirect
35. #19099269C22semidirect
36. #19099268C22semidirect
37. #19099264C22semidirect
38. #19099260C22semidirect
39. #19099258C22semidirect
40. #19099257C22semidirect
41. #19099254C22semidirect
42. #19099252C22semidirect
43. #19099252C22semidirect
44. #19099252C22semidirect
45. #19099249C22semidirect
46. #19099249C22semidirect
47. #19099248C22semidirect
48. #19099245C22semidirect
49. #19099243C22semidirect
50. #19099243C22semidirect
51. #19099242C22semidirect
52. #19099238C22semidirect
53. #19099237C22semidirect
54. #19099236C22semidirect
55. #19099228C22semidirect
56. #19099221C22semidirect
57. #19099218C22semidirect
58. #19099218C22semidirect
59. #19099215C22semidirect
60. #19099215C22semidirect
61. #19099215C22semidirect
62. #19099210C22semidirect
63. #19099210C22semidirect
64. #19099210C22semidirect
65. #19099209C22semidirect
66. #19099209C22semidirect
67. #19099204C22semidirect
68. #19099202C22semidirect
69. #19099197C22semidirect
70. #19099194C22semidirect
71. #19099188C22semidirect
72. #19099187C22semidirect
73. #19099180C22semidirect
74. #19099176C22semidirect
75. #19099173C22semidirect
76. #19099162C22semidirect
77. #19099158C22semidirect
78. #19099156C22semidirect
79. #19099155C22semidirect
80. #19099154C22semidirect
81. #19099151C22semidirect
82. #19099147C22semidirect
83. #19099145C22semidirect
85. #19099139C22semidirect
86. #19099134C22semidirect
87. #19099123C22semidirect
89. #19099118C22semidirect
90. #19099116C22semidirect
91. #19099115C22semidirect
92. #19099115C22semidirect
93. #19099115C22semidirect
95. #19099108C22semidirect
96. #19099108C22semidirect
97. #19099100C22semidirect
98. #19099099C22semidirect
99. #19099099C22semidirect
100. #19099099C22semidirect
101. #19099098C22semidirect
102. #19099098C22semidirect
103. #19099097C22semidirect
104. #19099096C22semidirect
105. #19099096C22semidirect
106. #19099095C22semidirect
107. #19099094C22semidirect
108. #19099094C22semidirect
109. #19099094C22semidirect
110. #19099094C22semidirect
111. #19099093C22semidirect
112. #19099093C22semidirect
113. #19099093C22semidirect
114. #19099092C22semidirect
115. #19099092C22semidirect
116. #19099091C22semidirect
117. #19099090C22semidirect
118. #19099090C22semidirect
119. #126×D79C22semidirect
120. #125×D79C22semidirect
121. #124×D79C22semidirect
122. #19099074C22semidirect
123. #19099073C22semidirect
124. #19099071C22semidirect
125. #19099069C22semidirect
126. #19099069C22semidirect
127. #123×D79C22semidirect
128. C22⋊Q8×D79C22semidirect
130. #19099045C22semidirect
131. #19099044C22semidirect
132. #19099044C22semidirect
134. #19099037C22semidirect
135. #19099035C22semidirect
136. #19099035C22semidirect
137. #41×Dic79C22semidirect
138. C4×#11929625C22semidirect
139. #19099031C22semidirect
140. #19099031C22semidirect
141. #19099031C22semidirect
142. #19099031C22semidirect
143. #19099031C22semidirect
144. #19099031C22semidirect
145. C4×#11929623C22semidirect
146. C4×#11929623C22semidirect
147. C2×#14579126C22semidirect
148. C2×#14579126C22semidirect
149. C4×Q8×D79C22semidirect
152. C2×#14579123C22semidirect
153. C2×(C22⋊D79)⋊C4C22semidirect
154. C2×(C22⋊D79)⋊C4C22semidirect
155. C4×D4×D79C22semidirect
156. C4×D4×D79C22semidirect
157. C4×D4×D79C22semidirect
158. C2×#14579118C22semidirect
159. #117×D79C22semidirect
160. C22×C4×Dic79C22semidirect
161. C2×C42×D79C22semidirect
162. #556×C79C22semidirect
163. #555×C79C22semidirect
164. #553×C79C22semidirect
165. #552×C79C22semidirect
166. #544×C79C22semidirect
167. #538×C79C22semidirect
169. #529×C79C22semidirect
170. #525×C79C22semidirect
171. #520×C79C22semidirect
172. C2×#117×C79C22semidirect
475. C2×D316#41semidirect
772. #3493D79semidirect
786. C79#62781semidirect
795. #556C2×D79semidirect
797. #555C2×D79semidirect
806. #553C2×D79semidirect
815. #552C2×D79semidirect
838. #544C2×D79semidirect
852. #538C2×D79semidirect
889. #529C2×D79semidirect
898. #525C2×D79semidirect
905. #520C2×D79semidirect
933. C2×#117C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237774732
#237774632
#237773742
#237773572
#237772582
#237772382
#237772022
#237771632
#237771202
#237770922
#237770422
#237770192
#237770072
#237769652
#237769572
#237768342
#237768282
#237768112
#237766922
#529×D792
#237766062
C2×#190990312
C79×#34932
#6278179