Finite Group Databasebeta

← #35197356

Subgroups — #35197356

Order 20224.

6846 conjugacy classes of subgroups.

The subgroup lattice has 1516 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777506C214yesmaximal, complemented
2#23777504C214yesmaximal, complemented
3#23777493C214yesmaximal, complemented
4#23777489C214yesmaximal, complemented
5#23777414C214yesmaximal, complemented
6#23777410C214yesmaximal, complemented
7#23777390C214yesmaximal, complemented
8#23777388C214yesmaximal, complemented
9#23777265C211yesmaximal, characteristic, complemented
10#23777260C214yesmaximal, complemented
11#23777205C211yesmaximal, characteristic, complemented
12#23777166C211yesmaximal, characteristic, complemented
13#23777113C212yesmaximal, complemented
14#23777112C214yesmaximal, complemented
15#23777049C212yesmaximal, complemented
16#23776829C214yesmaximal, complemented
17#23776824C212yesmaximal, complemented
18#23776792C211yesmaximal, characteristic, complemented
19#23776789C211yesmaximal, characteristic, complemented
20#23776786C214yesmaximal, complemented
21#23776611C212yesmaximal, complemented
22C2×#19099039C211yesmaximal, characteristic, complemented
23C79×#3507C211yesmaximal, characteristic, complemented
24C2×#14579208C2212yes—
25C22×Q8×D79C2211yescharacteristic
26#19099298C2212yescomplemented
27#19099297C2218yescomplemented
28Q8×Dic158C2212yescomplemented
29#19099293C2212yescomplemented
30#19099291C2212yescomplemented
31#19099291C2214yescomplemented
32#19099291C2212yescomplemented
33#19099290C2214yescomplemented
34#19099290C2218yescomplemented
35#19099288C2212yescomplemented
36#19099286C2214yes—
37#19099286C2212yescomplemented
38#19099285C2218yes—
39#19099285C2214yescomplemented
40#19099284C2218yescomplemented
41#19099281C2214yes—
42#19099280C2218yes—
43#19099280C2218yescomplemented
44#19099280C2218yescomplemented
45#19099278C2214yes—
46#19099276C2218yes—
47#19099276C2214yes—
48#19099275C2218yes—
49#19099273C2212yescomplemented
50#19099267C2218yescomplemented
51#19099264C2218yes—
52#19099263C2214yes—
53#19099262C2218yes—
54#19099261C2214yes—
55#19099254C2214yes—
56#19099254C2214yescomplemented
57#19099250C2218yescomplemented
58#19099248C2214yes—
59#19099246C2218yes—
60#19099245C2218yes—
61#19099245C2218yescomplemented
62#19099234C2212yescomplemented
63#19099233C2212yescomplemented
64D4×Dic158C2212yescomplemented
65#19099228C2214yes—
66#19099228C2214yes—
67#19099228C2212yescomplemented
68#19099226C2214yes—
69#19099226C2214yes—
70#19099223C2214yes—
71#19099223C2214yes—
72#19099222C2214yescomplemented
73#19099221C2214yes—
74#19099221C2214yes—
75#19099221C2214yescomplemented
76#19099192C2214yes—
77#19099191C2212yes—
78#19099187C2212yes—
79#19099187C2212yes—
80#19099186C2214yescomplemented
81#19099183C2218yes—
82#19099182C2212yes—
83#19099182C2212yes—
84#19099182C2214yescomplemented
85#19099179C2218yes—
86#19099179C2218yescomplemented
87#19099177C2218yescomplemented
88#19099176C2212yes—
89#19099174C2212yes—
90#19099174C2214yescomplemented
91#19099173C2214yescomplemented
92#19099172C2218yes—
93#19099172C2218yescomplemented
94#19099170C2218yescomplemented
95#19099169C2212yes—
96#19099167C2212yes—
97#19099165C2218yes—
98#19099162C2212yes—
99#19099162C2212yes—
100#19099160C2214yes—
101#19099158C2212yes—
102#19099158C2212yes—
103#19099157C2218yes—
104#19099153C2212yes—
105#19099153C2212yes—
106#19099150C2212yes—
107#19099150C2212yes—
108#19099146C2218yes—
109#19099141C2212yes—
110#19099140C2214yes—
111#19099137C2212yes—
112#19099135C2218yes—
113#19099120C2211yescharacteristic
114#19099118C2214yescomplemented
115#19099117C2218yescomplemented
116#19099116C2218yescomplemented
117#19099115C2214yes—
118#19099115C2214yescomplemented
119#19099113C2211yescharacteristic
120#19099108C2214yes—
121#19099100C2214yes—
122#19099100C2214yes—
123#19099099C2218yes—
124#19099099C2214yescomplemented
125#19099098C2218yes—
126#19099097C2214yes—
127#19099096C2218yes—
128#19099093C2214yes—
129#19099093C2214yes—
130#19099093C2218yes—
131#19099093C2218yescomplemented
132#19099092C2214yescomplemented
133#19099091C2218yescomplemented
134#19099090C2218yes—
135#19099090C2218yes—
136#19099075C2212yes—
137#19099071C2218yes—
138#19099070C2212yes—
139#19099044C2212yes—
140#19099044C2214yescomplemented
141#19099042C2218yes—
142#19099042C2214yescomplemented
143#19099040C2212yes—
144#19099040C2214yescomplemented
145#19099039C2214yes—
146#19099039C2214yes—
147#19099039C2214yes—
148#19099039C2214yes—
149#19099039C2214yescomplemented
150#41×Dic79C2212yes—
151#19099031C2212yes—
152#19099031C2214yescomplemented
153C4×#11929623C2218yes—
154C4×#11929623C2214yescomplemented
155C2×Q8×Dic79C2211yescharacteristic
156C2×C4×Dic158C2212yes—
157C2×C4×Dic158C2211yescharacteristic
158C2×#14579126C2211yescharacteristic
159C2×#14579126C2212yes—
160C2×#14579126C2214yescomplemented
161C4×Q8×D79C2214yescomplemented
162C2×#14579119C2212yes—
163C2×#14579119C2211yescharacteristic
164C2×#14579118C2211yescharacteristic
165C2×#14579118C2212yes—
166#559×C79C2212yescomplemented
167#557×C79C2212yescomplemented
168#556×C79C2214yescomplemented
169#556×C79C2212yescomplemented
170#554×C79C2212yescomplemented
171#552×C79C2214yescomplemented
172#539×C79C2214yes—
173#536×C79C2212yes—
174#533×C79C2211yescharacteristic
175#532×C79C2211yescharacteristic
176#529×C79C2214yes—
177#520×C79C2212yes—
178C2×C4×Q8×C79C2211yescharacteristic
179#14579208—216no—
180C2×#11929624C2312yes—
181C2×#11929624C2314yes—
182C2×#11929623C2318yes—
183C2×#11929623C2314yes—
184C22×Dic158C2314yes—
185C22×Dic158C2312yes—
186C22×Dic158C2311yescharacteristic
187C2×Q8×D79—28no—
188C2×Q8×D79C2314yes—
189C2×Q8×D79C2314yes—
190C2×Q8×D79C2314yes—
191C22×C4×D79C2311yescharacteristic
192C22×C4×D79C2312yes—
193#14579161C2311yescharacteristic
194#14579161C2311yescharacteristic
195#14579161C2311yescharacteristic
196#14579161C2314yes—
197#14579160C2318yes—
198#14579160C2314yes—
199#14579160C2318yes—
200#14579160C2314yes—
201#14579160C2318yes—
202#14579160C2314yes—
203#14579159C2314yes—
204#14579159C2318yes—
205#14579159C2314yes—
206#14579158C2311yescharacteristic
207#14579157C2314yes—
208#14579156C2318yes—
209#14579156C2314yes—
210#14579156C2314yes—
211#14579156C2314yes—
212#14579156C2314yes—
213#14579156C2318yes—
214#14579156C2318yes—
215#14579156C2314yes—
216#14579156C2314yes—
217#14579156C2318yes—
218#14579156C2318yes—
219#14579155C2318yes—
220#14579155C2318yes—
221#14579154C2318yes—
222#14579154C2314yes—
223#14579154C2314yes—
224#14579154C2318yes—
225#14579154C2318yes—
226#14579153C2312yes—
227#14579153C2314yes—
228#14579153C2314yes—
229#14579152C2318yes—
230#14579152C2314yes—
231#14579152C2314yes—
232#14579152C2314yes—
233#14579151C2318yes—
234#14579151C2314yes—
235#14579151C2314yes—
236#14579151C2318yes—
237#14579151C2318yes—
238#14579151C2318yes—
239#14579151C2318yes—
240#14579151C2318yes—
241#14579151C2318yes—
242#14579150C2314yes—
243#14579150C2314yes—
244#14579150C2314yes—
245#14579149C2318yes—
246#14579149C2314yes—
247#14579149C2312yes—
248#14579147C2318yes—
249#14579147C2314yes—
250#14579147C2314yes—
251#14579147C2318yes—
252#14579147C2318yes—
253#14579147C2318yes—
254#14579147C2318yes—
255#14579147C2318yes—
256#14579146C2318yes—
257#14579146C2314yes—
258#14579146C2314yes—
259#14579146C2318yes—
260#14579146C2314yes—
261#14579146C2314yes—
262#14579145C2314yes—
263#14579145C2314yes—
264#14579145C2318yes—
265#14579145C2314yes—
266#14579144C2318yes—
267#14579144C2318yes—
268#14579143C2318yes—
269#14579142C2314yes—
270#14579142C2314yes—
271#14579142C2314yes—
272#14579141C2318yes—
273#14579141C2312yes—
274#14579141C2312yes—
275#14579140C2314yes—
276#14579140C2312yes—
277#14579140C2312yes—
278#14579139C2318yes—
279#14579139C2318yes—
280#14579139C2318yes—
281#14579139C2318yes—
282#14579139C2318yes—
283#14579139C2318yes—
284#14579138C2318yes—
285#14579138C2318yes—
286#14579138C2318yes—
287#14579138C2314yes—
288#14579138C2314yes—
289#14579138C2318yes—
290#14579138C2318yes—
291#14579137C2314yes—
292#14579137C2314yes—
293#14579137C2314yes—
294#14579137C2314yes—
295#14579137C2314yes—
296#14579137C2312yes—
297#14579137C2312yes—
298#14579136C2314yes—
299#14579136C2314yes—
300#14579136C2312yes—
301#14579136C2312yes—
302#14579135C2312yes—
303#14579135C2314yes—
304#14579135C2318yes—
305#14579135C2312yes—
306#14579134C2318yes—
307#14579134C2318yes—
308#14579134C2318yes—
309#14579134C2318yes—
310#14579133C2318yes—
311#14579133C2318yes—
312#14579133C2314yes—
313#14579133C2314yes—
314#14579132C2314yes—
315#14579132C2312yes—
316#14579132C2312yes—
317#14579131C2314yes—
318#14579129C2314yes—
319Q8×Dic79C2314yes—
320Q8×Dic79C2312yes—
321Q8×Dic79C2312yes—
322Q8×Dic79C2314yes—
323Q8×Dic79C2314yes—
324C4×Dic158C2318yes—
325C4×Dic158C2318yes—
326C4×Dic158C2318yes—
327C4×Dic158C2314yes—
328C4×Dic158C2314yes—
329C4×Dic158C2312yes—
330C4×Dic158C2312yes—
331C4×Dic158C2312yes—
332C4×Dic158C2312yes—
333C4×Dic158C2318yes—
334C4×Dic158C2314yes—
335C4×Dic158C2318yes—
336C4×Dic158C2312yes—
337C4×Dic158C2312yes—
338#14579126C2318yes—
339#14579126C2312yes—
340#14579126C2312yes—
341#14579126C2314yes—
342#14579126C2314yes—
343#14579126C2318yes—
344#14579126C2318yes—
345#14579126C2314yes—
346#14579126C2318yes—
347#14579126C2318yes—
348#14579126C2314yes—
349#14579126C2314yes—
350#14579126C2314yes—
351#14579126C2318yes—
352C4×D316C2314yes—
353C4×D316C2314yes—
354C4×D316C2312yes—
355C4×D316C2312yes—
356C4×D316C2314yes—
357D4×Dic79C2314yes—
358D4×Dic79C2314yes—
359D4×Dic79C2312yes—
360D4×Dic79C2312yes—
361D4×Dic79C2314yes—
362#14579123C2312yes—
363#14579123C2312yes—
364#14579123C2318yes—
365#14579123C2318yes—
366#14579123C2314yes—
367#14579123C2314yes—
368C4×C22⋊D79C2318yes—
369C4×C22⋊D79C2318yes—
370C4×C22⋊D79C2314yes—
371C4×C22⋊D79C2314yes—
372C4×C22⋊D79C2318yes—
373C4×C22⋊D79C2318yes—
374(C22⋊D79)⋊C4C2314yes—
375(C22⋊D79)⋊C4C2314yes—
376(C22⋊D79)⋊C4C2318yes—
377(C22⋊D79)⋊C4C2318yes—
378(C22⋊D79)⋊C4C2318yes—
379(C22⋊D79)⋊C4C2318yes—
380(C22⋊D79)⋊C4C2318yes—
381(C22⋊D79)⋊C4C2318yes—
382#14579120C2312yes—
383#14579120C2314yes—
384#14579120C2318yes—
385#14579119C2318yes—
386#14579119C2318yes—
387#14579119C2318yes—
388#14579119C2318yes—
389#14579119C2314yes—
390#14579119C2314yes—
391#14579119C2314yes—
392#14579118C2312yes—
393#14579118C2312yes—
394#14579118C2314yes—
395#14579118C2312yes—
396#14579118C2312yes—
397#14579118C2318yes—
398#14579118C2318yes—
399#14579118C2318yes—
400#14579118C2318yes—
401#14579118C2318yes—
402#14579117C2318yes—
403#14579117C2318yes—
404#14579117C2318yes—
405#14579117C2318yes—
406C2×C4⋊Dic79C2311yescharacteristic
407C2×C4⋊Dic79C2312yes—
408C2×Dic79⋊C4C2312yes—
409C2×Dic79⋊C4C2311yescharacteristic
410C2×Dic79⋊C4C2311yescharacteristic
411C2×Dic79⋊C4C2318yes—
412C2×Dic79⋊C4C2312yes—
413C4⋊C4×D79C2318yes—
414C4⋊C4×D79C2314yes—
415C2×(C2×D79)⋊C4C2312yes—
416C2×(C2×D79)⋊C4C2311yescharacteristic
417C2×(C2×D79)⋊C4C2311yescharacteristic
418C2×C4×Dic79C2311yescharacteristic
419C2×C4×Dic79C2312yes—
420C2×C4×Dic79C2312yes—
421C2×C4×Dic79C2312yes—
422C2×C4×Dic79C2312yes—
423C2×C4×Dic79C2318yes—
424C2×C4×Dic79C2314yes—
425C42×D79C2318yes—
426C42×D79C2314yes—
427C2×#41×C79C2312yes—
428C22×Q8×C79C2311yescharacteristic
429C4⋊Q8×C79C2311yescharacteristic
430C4⋊Q8×C79C2314yes—
431C4⋊Q8×C79C2311yescharacteristic
432C4⋊Q8×C79C2311yescharacteristic
433#127×C79C2311yescharacteristic
434#126×C79C2318yes—
435#126×C79C2318yes—
436#125×C79C2312yes—
437#125×C79C2318yes—
438#125×C79C2314yes—
439#124×C79C2314yes—
440#124×C79C2312yes—
441#124×C79C2314yes—
442#123×C79C2318yes—
443#123×C79C2318yes—
444C22⋊Q8×C79C2312yes—
445C22⋊Q8×C79C2312yes—
446C22⋊Q8×C79C2314yes—
447C22⋊Q8×C79C2318yes—
448C22⋊Q8×C79C2314yes—
449#121×C79C2312yes—
450#121×C79C2312yes—
451C4×Q8×C79C2312yes—
452C4×Q8×C79C2312yes—
453C4×Q8×C79C2312yes—
454C4×Q8×C79C2312yes—
455C4×Q8×C79C2314yes—
456C4×Q8×C79C2314yes—
457C4×Q8×C79C2312yes—
458C4×Q8×C79C2312yes—
459C4×D4×C79C2318yes—
460C4×D4×C79C2312yes—
461C4×D4×C79C2312yes—
462C4×D4×C79C2314yes—
463C4×D4×C79C2314yes—
464#117×C79C2312yes—
465#117×C79C2314yes—
466#117×C79C2318yes—
467C2×C4⋊C4×C79C2312yes—
468C2×C4⋊C4×C79C2311yescharacteristic
469C2×C4⋊C4×C79C2314yes—
470C2×C42×C79C2312yes—
471C2×C42×C79C2311yescharacteristic
472C23×D79C2411yescharacteristic
473#11929624—216no—
474#11929624—28no—
475#11929623—232no—
476#11929623—216no—
477C2×Dic158—28no—
478C2×Dic158—216no—
479C2×Dic158#4118yes—
480C2×Dic158C2418yes—
481C2×Dic158C2418yes—
482C2×Dic158C2412yes—
483C2×Dic158C2412yes—
484C2×Dic158C2418yes—
485C2×Dic158C2412yes—
486C2×Dic158C2412yes—
487C2×Dic158C2412yes—
488Q8×D79—216no—
489Q8×D79—216no—
490Q8×D79—216no—
491C2×D316C2412yes—
492C2×D316C2414yes—
493C2×D316C2414yes—
494C2×D316C2412yes—
495C2×D316C2412yes—
496C2×C22⋊D79C2414yes—
497C2×C22⋊D79C2418yes—
498C2×C22⋊D79C2414yes—
499C2×C22⋊D79C2414yes—
500C2×C22⋊D79C2418yes—
501C22×Dic79C2411yescharacteristic
502C22×Dic79C2418yes—
503C22×Dic79C2411yescharacteristic
504C22×Dic79C2411yescharacteristic
505C22×Dic79C2412yes—
506C22×Dic79C2414yes—
507C22×Dic79C2414yes—
508C22×Dic79C2412yes—
509C2×C4×D79—28no—
510C2×C4×D79—24no—
511C2×C4×D79C2418yes—
512C2×C4×D79C2412yes—
513C2×C4×D79C2412yes—
514C2×C4×D79C2418yes—
515C2×C4×D79C2414yes—
516C2×C4×D79C2414yes—
517C2×C4×D79C2418yes—
518C2×C4×D79C2414yes—
519C4⋊Dic79C2412yes—
520C4⋊Dic79C2414yes—
521C4⋊Dic79C2412yes—
522C4⋊Dic79C2412yes—
523C4⋊Dic79C2418yes—
524C4⋊Dic79C2412yes—
525C4⋊Dic79C2414yes—
526C4⋊Dic79C2418yes—
527C4⋊Dic79C2414yes—
528C4⋊Dic79C2412yes—
529C4⋊Dic79C2412yes—
530C4⋊Dic79C2412yes—
531C4⋊Dic79C2414yes—
532C4⋊Dic79C2412yes—
533Dic79⋊C4C2418yes—
534Dic79⋊C4C2418yes—
535Dic79⋊C4C2418yes—
536Dic79⋊C4C2414yes—
537Dic79⋊C4C2412yes—
538Dic79⋊C4C2412yes—
539Dic79⋊C4C2414yes—
540Dic79⋊C4C2414yes—
541Dic79⋊C4C2412yes—
542Dic79⋊C4C2412yes—
543Dic79⋊C4C2418yes—
544Dic79⋊C4C2414yes—
545Dic79⋊C4C2418yes—
546Dic79⋊C4C2418yes—
547Dic79⋊C4C2414yes—
548Dic79⋊C4C2414yes—
549Dic79⋊C4C2418yes—
550Dic79⋊C4C2418yes—
551Dic79⋊C4C2418yes—
552Dic79⋊C4C2414yes—
553Dic79⋊C4C2414yes—
554C22⋊Dic79C2414yes—
555C22⋊Dic79C2414yes—
556C22⋊Dic79C2414yes—
557C22⋊Dic79C2418yes—
558C22⋊Dic79C2414yes—
559C22⋊Dic79C2414yes—
560(C2×D79)⋊C4C2412yes—
561(C2×D79)⋊C4C2412yes—
562(C2×D79)⋊C4C2412yes—
563(C2×D79)⋊C4C2418yes—
564(C2×D79)⋊C4C2412yes—
565(C2×D79)⋊C4C2414yes—
566(C2×D79)⋊C4C2414yes—
567(C2×D79)⋊C4C2414yes—
568(C2×D79)⋊C4C2418yes—
569(C2×D79)⋊C4C2414yes—
570(C2×D79)⋊C4C2418yes—
571(C2×D79)⋊C4C2418yes—
572(C2×D79)⋊C4C2414yes—
573(C2×D79)⋊C4C2414yes—
574(C2×D79)⋊C4C2414yes—
575(C2×D79)⋊C4C2418yes—
576(C2×D79)⋊C4C2414yes—
577(C2×D79)⋊C4C2414yes—
578(C2×D79)⋊C4C2414yes—
579C4×Dic79C2412yes—
580C4×Dic79C2414yes—
581C4×Dic79C2418yes—
582C4×Dic79C2414yes—
583C4×Dic79C2414yes—
584C4×Dic79C2418yes—
585C4×Dic79C2412yes—
586C4×Dic79C2418yes—
587C4×Dic79C2418yes—
588C4×Dic79C2418yes—
589C4×Dic79C2414yes—
590C4×Dic79C2418yes—
591C4×Dic79C2414yes—
592C4×Dic79C2414yes—
593C4×Dic79C2414yes—
594#41×C79—28no—
595C2×Q8×C79—24no—
596C2×Q8×C79C2412yes—
597C2×Q8×C79C2412yes—
598C2×Q8×C79C2412yes—
599C2×Q8×C79C2412yes—
600C2×Q8×C79C2412yes—
601C2×D4×C79C2414yes—
602C2×D4×C79C2412yes—
603C2×D4×C79C2412yes—
604C2×D4×C79C2412yes—
605C22×C4×C79C2414yes—
606C22×C4×C79C2412yes—
607C22×C4×C79C2411yescharacteristic
608C22×C4×C79C2412yes—
609C22×C4×C79C2411yescharacteristic
610C22×C4×C79C2418yes—
611C22×C4×C79C2411yescharacteristic
612C4⋊C4×C79C2412yes—
613C4⋊C4×C79C2412yes—
614C4⋊C4×C79C2412yes—
615C4⋊C4×C79C2418yes—
616C4⋊C4×C79C2414yes—
617C4⋊C4×C79C2414yes—
618C4⋊C4×C79C2412yes—
619C4⋊C4×C79C2414yes—
620C4⋊C4×C79C2418yes—
621C4⋊C4×C79C2412yes—
622C4⋊C4×C79C2412yes—
623C4⋊C4×C79C2412yes—
624C4⋊C4×C79C2414yes—
625C4⋊C4×C79C2418yes—
626C4⋊C4×C79C2412yes—
627C22⋊C4×C79C2414yes—
628C22⋊C4×C79C2414yes—
629C22⋊C4×C79C2418yes—
630C22⋊C4×C79C2418yes—
631C22⋊C4×C79C2414yes—
632C22⋊C4×C79C2418yes—
633C42×C79C2414yes—
634C42×C79C2411yescharacteristic
635C42×C79C2411yescharacteristic
636C42×C79C2414yes—
637C42×C79C2411yescharacteristic
638C42×C79C2411yescharacteristic
639C42×C79C2418yes—
640C42×C79C2414yes—
641C23×C79C2514yes—
642C23×C79C2511yescharacteristic
643C22×D79—22no—
644C22×D79—41no—
645C22×D79—41no—
646C22×D79C2512yes—
647C22×D79C2514yes—
648Q8×C79—24no—
649Q8×C79—24no—
650Q8×C79—24no—
651Q8×C79—42no—
652Q8×C79—42no—
653D4×C79—28no—
654D4×C79—24no—
655D4×C79—42no—
656D4×C79—42no—
657C2×C4×C79—24no—
658C2×C4×C79—28no—
659C2×C4×C79—42no—
660C2×C4×C79—48no—
661C2×C4×C79—41no—
662C2×C4×C79—41no—
663C2×C4×C79C2×#4114yes—
664C2×C4×C79C2514yes—
665C2×C4×C79C2511yescharacteristic
666C2×C4×C79C2511yescharacteristic
667C2×C4×C79C2514yes—
668C2×C4×C79C2514yes—
669C2×C4×C79C2514yes—
670C2×C4×C79C2514yes—
671C2×C4×C79C2511yescharacteristic
672C2×C4×C79C2511yescharacteristic
673C2×C4×C79C2511yescharacteristic
674C2×C4×C79C2511yescharacteristic
675C22⋊D79—28no—
676C22⋊D79—216no—
677C22⋊D79—48no—
678C22⋊D79—44no—
679C22⋊D79—44no—
680C2×Dic79—22no—
681C2×Dic79—216no—
682C2×Dic79—42no—
683C2×Dic79—44no—
684C2×Dic79—44no—
685C2×Dic79—41no—
686C2×Dic79—41no—
687C2×Dic79C2×#4118yes—
688C2×Dic79C2512yes—
689C2×Dic79C2512yes—
690C2×Dic79C2514yes—
691C2×Dic79C2514yes—
692C2×Dic79C2512yes—
693C2×Dic79C2514yes—
694C2×Dic79C2514yes—
695C2×Dic79C2514yes—
696D316—24no—
697D316—44no—
698D316—42no—
699D316—42no—
700D316—44no—
701C4×D79—24no—
702C4×D79—24no—
703C4×D79—28no—
704C4×D79—216no—
705C4×D79—216no—
706C4×D79—48no—
707C4×D79—44no—
708C4×D79—44no—
709Dic158—24no—
710Dic158—216no—
711Dic158—216no—
712Dic158—48no—
713Dic158—42no—
714Dic158—42no—
715Dic158C2×#4118yes—
716Dic158C2×#4118yes—
717C22×C79—21no—
718C22×C79—21no—
719C22×C79—24no—
720C22×C79—24no—
721C22×C79—24no—
722C22×C79C22×#4112yes—
723C22×C79C2611yescharacteristic
724C2×D79—24no—
725C2×D79—22no—
726C2×D79—22no—
727C2×D79—22no—
728C2×D79—24no—
729C2×D79—24no—
730C2×D79—44no—
731C4×C79—24no—
732C4×C79—24no—
733C4×C79—24no—
734C4×C79—24no—
735C4×C79—21no—
736C4×C79—21no—
737C4×C79—21no—
738C4×C79—21no—
739C4×C79—24no—
740C4×C79C22×#4112yes—
741C4×C79C22×#4112yes—
742Dic79—24no—
743Dic79—22no—
744Dic79—24no—
745Dic79—24no—
746Dic79—24no—
747Dic79—22no—
748Dic79—22no—
749Dic79C22×#4118yes—
750#62850—791nomaximal, Sylow
751C2×C79—22no—
752C2×C79—44no—
753C2×C79C23×#4111yescharacteristic
754C2×C792−1+611yescharacteristic
755C2×C792−1+611yescharacteristic
756D79—44no—
757D79—42no—
758#3524—794no—
759#3524—794no—
760#3523—794no—
761#3523—794no—
762#3518—794no—
763#3518—794no—
764#3516—794no—
765#3516—794no—
766#3507—794no—
767#3507—791no—
768#3507D7911yescharacteristic, complemented
769#3502—791no—
770#3497—791no—
771#3493—794no—
772#3493—792no—
773#3486—792no—
774#3461—792no—
775#3461—794no—
776#3455—794no—
777#3455—791no—
778#3455—791no—
779C4×2−1+4—792no—
780C2×#519—791no—
781C79#6285011yescharacteristic, complemented, Sylow
782C2×2−1+4—792no—
783C23×Q8—791no—
784#559—798no—
785#559—792no—
786#559C2×D7912yescomplemented
787Q82—792no—
788Q82—792no—
789#557—792no—
790#557—794no—
791#557—798no—
792#557—792no—
793#557—794no—
794#557—792no—
795#557C2×D7912yescomplemented
796#556—798no—
797#556—798no—
798#556—798no—
799#556—798no—
800#556—798no—
801#556—794no—
802#556—794no—
803#556—792no—
804#556—794no—
805#556C2×D7914yescomplemented
806#556C2×D7912yescomplemented
807#555—798no—
808#555—794no—
809#555—794no—
810#555—798no—
811#554—798no—
812#554—792no—
813#554C2×D7912yescomplemented
814#553—798no—
815#553—798no—
816#553—794no—
817#553—794no—
818#552—798no—
819#552—798no—
820#552—798no—
821#552—794no—
822#552—794no—
823#552—798no—
824#552—794no—
825#552C2×D7914yescomplemented
826#550—792no—
827#550—792no—
828D4×Q8—794no—
829D4×Q8—794no—
830D4×Q8—792no—
831D4×Q8—794no—
832D4×Q8—794no—
833D4×Q8—792no—
834#548—794no—
835#548—794no—
836#548—794no—
837#548—794no—
838#548—794no—
839#548—794no—
840#544—794no—
841#544—792no—
842#542—792no—
843#542—792no—
844#542—798no—
845#542—798no—
846#542—798no—
847#542—792no—
848#542—792no—
849#542—794no—
850#542—798no—
851#542—794no—
852#541—792no—
853#541—794no—
854#541—798no—
855#541—798no—
856#541—798no—
857#541—792no—
858#541—794no—
859#540—792no—
860#540—792no—
861#540—798no—
862#539—798no—
863#539—792no—
864#539—792no—
865#539—792no—
866#539—792no—
867#539—794no—
868#539C2×D7914yes—
869#538—792no—
870#538—792no—
871#538—792no—
872#538—792no—
873#538—798no—
874#537—792no—
875#537—794no—
876#536—792no—
877#536—798no—
878#536C2×D7912yes—
879#533—794no—
880#533—794no—
881#533—794no—
882#533—798no—
883#533—798no—
884#533—791no—
885#533C2×D7911yescharacteristic
886#532—794no—
887#532—791no—
888#532C2×D7911yescharacteristic
889#529—798no—
890#529—798no—
891#529—794no—
892#529—798no—
893#529—798no—
894#529—798no—
895#529—794no—
896#529—794no—
897#529—794no—
898#529—794no—
899#529—794no—
900#529—798no—
901#529—798no—
902#529—798no—
903#529—794no—
904#529C2×D7914yes—
905#525—792no—
906#525—798no—
907#525—792no—
908#520—798no—
909#520—794no—
910#520—792no—
911#520—794no—
912#520C2×D7912yes—
913#519—794no—
914#519—794no—
915#519—794no—
916#519—794no—
917#519—794no—
918#519—792no—
919#519—794no—
920C4×#41—792no—
921C4×#41—798no—
922C4×#41—794no—
923C4×#41—792no—
924C4×#41—794no—
925C2×C4×Q8—791no—
926C2×C4×Q8—794no—
927C2×C4×Q8—791no—
928C2×C4×Q8—792no—
929C2×C4×Q8—794no—
930C2×C4×Q8—792no—
931C2×C4×Q8—791no—
932C2×C4×Q8C2×D7911yescharacteristic
933C2×#117—792no—
934C2×#117—791no—
935C2×#117—791no—
936C2×#117—792no—
9372−1+4—15816no—
938C2×#41—798no—
939C2×#41—794no—
940C2×#41—792no—
941C2×#41—794no—
942C2×#41C22×D7912yes—
943C22×Q8—794no—
944C22×Q8—794no—
945C22×Q8—794no—
946C22×Q8—791no—
947C22×Q8—792no—
948C22×Q8—794no—
949C22×Q8—1588no—
950C22×Q8C22×D7911yescharacteristic
951C23×C4—792no—
952C23×C4—791no—
953C4⋊Q8—794no—
954C4⋊Q8—794no—
955C4⋊Q8—798no—
956C4⋊Q8—794no—
957C4⋊Q8—798no—
958C4⋊Q8—798no—
959C4⋊Q8—794no—
960C4⋊Q8—798no—
961C4⋊Q8—794no—
962C4⋊Q8—791no—
963C4⋊Q8—791no—
964C4⋊Q8—791no—
965C4⋊Q8—794no—
966C4⋊Q8C22×D7911yescharacteristic
967C4⋊Q8C22×D7914yes—
968C4⋊Q8C22×D7911yescharacteristic
969C4⋊Q8C22×D7911yescharacteristic
970#127—794no—
971#127—791no—
972#127C22×D7911yescharacteristic
973#126—794no—
974#126—794no—
975#126—794no—
976#126—798no—
977#126—794no—
978#126—794no—
979#126—798no—
980#126—794no—
981#126—798no—
982#126—798no—
983#126—798no—
984#126—798no—
985#126—794no—
986#126—794no—
987#126—798no—
988#126—798no—
989#126—798no—
990#126—798no—
991#126C22×D7918yes—
992#126C22×D7918yes—
993#125—794no—
994#125—798no—
995#125—794no—
996#125—798no—
997#125—798no—
998#125—794no—
999#125—794no—
1000#125—798no—
1001#125—798no—
1002#125—798no—
1003#125—798no—
1004#125—794no—
1005#125—798no—
1006#125—794no—
1007#125—794no—
1008#125—792no—
1009#125C22×D7918yes—
1010#125C22×D7914yes—
1011#125C22×D7912yes—
1012#124—794no—
1013#124—794no—
1014#124—794no—
1015#124—794no—
1016#124—798no—
1017#124—798no—
1018#124—794no—
1019#124—798no—
1020#124—798no—
1021#124—798no—
1022#124—798no—
1023#124—798no—
1024#124—794no—
1025#124—792no—
1026#124C22×D7914yes—
1027#124C22×D7914yes—
1028#124C22×D7912yes—
1029#123—794no—
1030#123—794no—
1031#123—794no—
1032#123—798no—
1033#123—798no—
1034#123—794no—
1035#123—794no—
1036#123—794no—
1037#123—798no—
1038#123—794no—
1039#123—798no—
1040#123—794no—
1041#123—794no—
1042#123—798no—
1043#123—798no—
1044#123—794no—
1045#123C22×D7918yes—
1046#123C22×D7918yes—
1047C22⋊Q8—792no—
1048C22⋊Q8—792no—
1049C22⋊Q8—794no—
1050C22⋊Q8—794no—
1051C22⋊Q8—794no—
1052C22⋊Q8—794no—
1053C22⋊Q8—794no—
1054C22⋊Q8—792no—
1055C22⋊Q8—792no—
1056C22⋊Q8—794no—
1057C22⋊Q8—798no—
1058C22⋊Q8—792no—
1059C22⋊Q8—798no—
1060C22⋊Q8—792no—
1061C22⋊Q8—798no—
1062C22⋊Q8—798no—
1063C22⋊Q8—798no—
1064C22⋊Q8—798no—
1065C22⋊Q8—798no—
1066C22⋊Q8—798no—
1067C22⋊Q8—798no—
1068C22⋊Q8—794no—
1069C22⋊Q8—798no—
1070C22⋊Q8—794no—
1071C22⋊Q8—798no—
1072C22⋊Q8—798no—
1073C22⋊Q8C22×D7914yes—
1074C22⋊Q8C22×D7918yes—
1075C22⋊Q8C22×D7912yes—
1076C22⋊Q8C22×D7912yes—
1077C22⋊Q8C22×D7914yes—
1078#121—792no—
1079#121—792no—
1080#121—794no—
1081#121—798no—
1082#121—794no—
1083#121—798no—
1084#121—794no—
1085#121—792no—
1086#121—794no—
1087#121—798no—
1088#121—792no—
1089#121—792no—
1090#121—792no—
1091#121—794no—
1092#121—794no—
1093#121—798no—
1094#121—798no—
1095#121—798no—
1096#121—798no—
1097#121C22×D7912yes—
1098#121C22×D7912yes—
1099#120—794no—
1100#120—794no—
1101C4×Q8—792no—
1102C4×Q8—794no—
1103C4×Q8—794no—
1104C4×Q8—792no—
1105C4×Q8—794no—
1106C4×Q8—794no—
1107C4×Q8—794no—
1108C4×Q8—798no—
1109C4×Q8—792no—
1110C4×Q8—798no—
1111C4×Q8—798no—
1112C4×Q8—794no—
1113C4×Q8—798no—
1114C4×Q8—794no—
1115C4×Q8—792no—
1116C4×Q8—794no—
1117C4×Q8—794no—
1118C4×Q8—798no—
1119C4×Q8—798no—
1120C4×Q8—798no—
1121C4×Q8—798no—
1122C4×Q8—792no—
1123C4×Q8—792no—
1124C4×Q8—792no—
1125C4×Q8—792no—
1126C4×Q8—794no—
1127C4×Q8—798no—
1128C4×Q8—798no—
1129C4×Q8—794no—
1130C4×Q8—792no—
1131C4×Q8—792no—
1132C4×Q8—798no—
1133C4×Q8—794no—
1134C4×Q8C22×D7914yes—
1135C4×Q8C22×D7912yes—
1136C4×Q8C22×D7912yes—
1137C4×Q8C22×D7912yes—
1138C4×Q8C22×D7912yes—
1139C4×Q8C22×D7912yes—
1140C4×Q8C22×D7912yes—
1141C4×Q8C22×D7914yes—
1142C4×D4—794no—
1143C4×D4—792no—
1144C4×D4—794no—
1145C4×D4—792no—
1146C4×D4—794no—
1147C4×D4—798no—
1148C4×D4—798no—
1149C4×D4—798no—
1150C4×D4—794no—
1151C4×D4—794no—
1152C4×D4—798no—
1153C4×D4—792no—
1154C4×D4—792no—
1155C4×D4—794no—
1156C4×D4—798no—
1157C4×D4—798no—
1158C4×D4—794no—
1159C4×D4—794no—
1160C4×D4—798no—
1161C4×D4—794no—
1162C4×D4—798no—
1163C4×D4—798no—
1164C4×D4—798no—
1165C4×D4—798no—
1166C4×D4—798no—
1167C4×D4—794no—
1168C4×D4—794no—
1169C4×D4—794no—
1170C4×D4—792no—
1171C4×D4—792no—
1172C4×D4C22×D7918yes—
1173C4×D4C22×D7914yes—
1174C4×D4C22×D7914yes—
1175C4×D4C22×D7912yes—
1176C4×D4C22×D7912yes—
1177#117—792no—
1178#117—794no—
1179#117—798no—
1180#117—798no—
1181#117—798no—
1182#117—794no—
1183#117—794no—
1184#117—798no—
1185#117—794no—
1186#117—798no—
1187#117—798no—
1188#117—798no—
1189#117—798no—
1190#117—798no—
1191#117—792no—
1192#117—792no—
1193#117—792no—
1194#117—792no—
1195#117—798no—
1196#117—798no—
1197#117—794no—
1198#117—798no—
1199#117—798no—
1200#117—798no—
1201#117C22×D7912yes—
1202#117C22×D7914yes—
1203#117C22×D7918yes—
1204C2×C4⋊C4—792no—
1205C2×C4⋊C4—792no—
1206C2×C4⋊C4—791no—
1207C2×C4⋊C4—791no—
1208C2×C4⋊C4—791no—
1209C2×C4⋊C4—792no—
1210C2×C4⋊C4—798no—
1211C2×C4⋊C4—798no—
1212C2×C4⋊C4—794no—
1213C2×C4⋊C4C22×D7911yescharacteristic
1214C2×C4⋊C4C22×D7912yes—
1215C2×C4⋊C4C22×D7914yes—
1216C2×C22⋊C4—791no—
1217C2×C22⋊C4—791no—
1218C2×C22⋊C4—792no—
1219C2×C42—791no—
1220C2×C42—792no—
1221C2×C42—792no—
1222C2×C42—792no—
1223C2×C42—792no—
1224C2×C42—794no—
1225C2×C42—798no—
1226C2×C42—794no—
1227C2×C42—798no—
1228C2×C42C22×D7912yes—
1229C2×C42C22×D7911yescharacteristic
1230C24—791no—
1231#41—28no—
1232#41—15816no—
1233#41—15832no—
1234#41—15816no—
1235#41—1588no—
1236C2×Q8—24no—
1237C2×Q8—798no—
1238C2×Q8—792no—
1239C2×Q8—792no—
1240C2×Q8—798no—
1241C2×Q8—792no—
1242C2×Q8—792no—
1243C2×Q8—798no—
1244C2×Q8—798no—
1245C2×Q8—792no—
1246C2×Q8—1588no—
1247C2×Q8—15816no—
1248C2×Q8—15816no—
1249C2×Q8—15816no—
1250C2×Q8—15816no—
1251C2×Q8C23×D7912yes—
1252C2×Q8C23×D7912yes—
1253C2×Q8C23×D7912yes—
1254C2×Q8C23×D7912yes—
1255C2×Q8C23×D7912yes—
1256C2×D4—794no—
1257C2×D4—794no—
1258C2×D4—798no—
1259C2×D4—794no—
1260C2×D4—798no—
1261C2×D4—794no—
1262C2×D4—794no—
1263C2×D4—792no—
1264C2×D4—792no—
1265C2×D4—792no—
1266C2×D4C23×D7914yes—
1267C2×D4C23×D7912yes—
1268C2×D4C23×D7912yes—
1269C2×D4C23×D7912yes—
1270C22×C4—791no—
1271C22×C4—791no—
1272C22×C4—792no—
1273C22×C4—794no—
1274C22×C4—794no—
1275C22×C4—794no—
1276C22×C4—794no—
1277C22×C4—798no—
1278C22×C4—792no—
1279C22×C4—791no—
1280C22×C4—798no—
1281C22×C4—798no—
1282C22×C4—794no—
1283C22×C4—798no—
1284C22×C4—792no—
1285C22×C4—792no—
1286C22×C4—1588no—
1287C22×C4—1584no—
1288C22×C4C23×D7912yes—
1289C22×C4C23×D7914yes—
1290C22×C4C23×D7912yes—
1291C22×C4C23×D7911yescharacteristic
1292C22×C4C23×D7918yes—
1293C22×C4C23×D7911yescharacteristic
1294C22×C4C23×D7911yescharacteristic
1295C4⋊C4—798no—
1296C4⋊C4—798no—
1297C4⋊C4—794no—
1298C4⋊C4—798no—
1299C4⋊C4—794no—
1300C4⋊C4—794no—
1301C4⋊C4—792no—
1302C4⋊C4—792no—
1303C4⋊C4—792no—
1304C4⋊C4—792no—
1305C4⋊C4—798no—
1306C4⋊C4—794no—
1307C4⋊C4—794no—
1308C4⋊C4—798no—
1309C4⋊C4—794no—
1310C4⋊C4—798no—
1311C4⋊C4—798no—
1312C4⋊C4—798no—
1313C4⋊C4—794no—
1314C4⋊C4—798no—
1315C4⋊C4—794no—
1316C4⋊C4—792no—
1317C4⋊C4—794no—
1318C4⋊C4—792no—
1319C4⋊C4—792no—
1320C4⋊C4—798no—
1321C4⋊C4—792no—
1322C4⋊C4—794no—
1323C4⋊C4—794no—
1324C4⋊C4—798no—
1325C4⋊C4—792no—
1326C4⋊C4—792no—
1327C4⋊C4—792no—
1328C4⋊C4—794no—
1329C4⋊C4—792no—
1330C4⋊C4C23×D7912yes—
1331C4⋊C4C23×D7918yes—
1332C4⋊C4C23×D7912yes—
1333C4⋊C4C23×D7912yes—
1334C4⋊C4C23×D7914yes—
1335C4⋊C4C23×D7914yes—
1336C4⋊C4C23×D7918yes—
1337C4⋊C4C23×D7912yes—
1338C4⋊C4C23×D7914yes—
1339C4⋊C4C23×D7912yes—
1340C4⋊C4C23×D7918yes—
1341C4⋊C4C23×D7912yes—
1342C4⋊C4C23×D7912yes—
1343C4⋊C4C23×D7914yes—
1344C4⋊C4C23×D7912yes—
1345C22⋊C4—794no—
1346C22⋊C4—794no—
1347C22⋊C4—794no—
1348C22⋊C4—798no—
1349C22⋊C4—794no—
1350C22⋊C4—794no—
1351C22⋊C4—792no—
1352C22⋊C4—792no—
1353C22⋊C4—792no—
1354C22⋊C4—798no—
1355C22⋊C4—792no—
1356C22⋊C4—794no—
1357C22⋊C4—794no—
1358C22⋊C4—798no—
1359C22⋊C4—798no—
1360C22⋊C4—794no—
1361C22⋊C4—798no—
1362C22⋊C4—794no—
1363C22⋊C4—794no—
1364C22⋊C4—794no—
1365C22⋊C4—794no—
1366C22⋊C4—794no—
1367C22⋊C4—794no—
1368C22⋊C4—798no—
1369C22⋊C4—794no—
1370C22⋊C4C23×D7914yes—
1371C22⋊C4C23×D7918yes—
1372C22⋊C4C23×D7918yes—
1373C22⋊C4C23×D7914yes—
1374C22⋊C4C23×D7918yes—
1375C22⋊C4C23×D7914yes—
1376C42—798no—
1377C42—792no—
1378C42—792no—
1379C42—794no—
1380C42—794no—
1381C42—794no—
1382C42—798no—
1383C42—794no—
1384C42—798no—
1385C42—798no—
1386C42—798no—
1387C42—798no—
1388C42—794no—
1389C42—794no—
1390C42—794no—
1391C42C23×D7918yes—
1392C42C23×D7914yes—
1393C42C23×D7914yes—
1394C42C23×D7914yes—
1395C42C23×D7911yescharacteristic
1396C42C23×D7911yescharacteristic
1397C42C23×D7911yescharacteristic
1398C42C23×D7911yescharacteristic
1399C23—3161no—
1400C23—3161no—
1401C23—792no—
1402C23—794no—
1403C23—1582no—
1404C23C24×D7914yes—
1405C23C24×D7911yescharacteristic
1406Q8—24no—
1407Q8—24no—
1408Q8—24no—
1409Q8—42no—
1410Q8—42no—
1411Q8—3162no—
1412Q8—3168no—
1413Q8—3162no—
1414Q8—798no—
1415Q8—798no—
1416Q8—15816no—
1417Q8—15816no—
1418Q8—1584no—
1419D4—28no—
1420D4—24no—
1421D4—42no—
1422D4—42no—
1423D4—3162no—
1424D4—3164no—
1425D4—3164no—
1426D4—3162no—
1427D4—3168no—
1428D4—3164no—
1429D4—3164no—
1430D4—15816no—
1431D4—1588no—
1432D4—1584no—
1433C2×C4—24no—
1434C2×C4—28no—
1435C2×C4—41no—
1436C2×C4—42no—
1437C2×C4—48no—
1438C2×C4—41no—
1439C2×C4—3164no—
1440C2×C4—3168no—
1441C2×C4—3164no—
1442C2×C4—3161no—
1443C2×C4—3164no—
1444C2×C4—3162no—
1445C2×C4—3161no—
1446C2×C4—3164no—
1447C2×C4—794no—
1448C2×C4—798no—
1449C2×C4—792no—
1450C2×C4—792no—
1451C2×C4—794no—
1452C2×C4—794no—
1453C2×C4—792no—
1454C2×C4—794no—
1455C2×C4—794no—
1456C2×C4—15816no—
1457C2×C4—15816no—
1458C2×C4—15816no—
1459C2×C4—1582no—
1460C2×C4—1584no—
1461C2×C4—1584no—
1462C2×C4—1588no—
1463C2×C4#41×D7914yes—
1464C2×C4C24×D7914yes—
1465C2×C4C24×D7911yescharacteristic
1466C2×C4C24×D7911yescharacteristic
1467C2×C4C24×D7914yes—
1468C2×C4C24×D7914yes—
1469C2×C4C24×D7914yes—
1470C2×C4C24×D7914yes—
1471C2×C4C24×D7911yescharacteristic
1472C2×C4C24×D7911yescharacteristic
1473C2×C4C24×D7911yescharacteristic
1474C2×C4C24×D7911yescharacteristic
1475C22—21no—
1476C22—21no—
1477C22—24no—
1478C22—24no—
1479C22—24no—
1480C22—3164no—
1481C22—1582no—
1482C22—1584no—
1483C22—1584no—
1484C22—1582no—
1485C22—1584no—
1486C22—1582no—
1487C22C2×#41×D7912yes—
1488C22C25×D7911yescharacteristic
1489C4—24no—
1490C4—24no—
1491C4—21no—
1492C4—21no—
1493C4—24no—
1494C4—24no—
1495C4—24no—
1496C4—21no—
1497C4—21no—
1498C4—798no—
1499C4—1584no—
1500C4—1582no—
1501C4—1582no—
1502C4—1584no—
1503C4—1584no—
1504C4—1582no—
1505C4—1584no—
1506C4C2×#41×D7912yes—
1507C4C2×#41×D7912yes—
1508C2—22no—
1509C2—44no—
1510C2—3162no—
1511C2—3164no—
1512C2C22×#41×D7911yescharacteristic
1513C2#2377821211yescharacteristic
1514C2#2377821311yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3507C2
hypercenter#3507D79
hypocenterC79#62850
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3507

Complements

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

NH ≅ G/Ntype
1. #23777506C2semidirect
2. #23777504C2semidirect
3. #23777493C2semidirect
4. #23777489C2semidirect
5. #23777414C2semidirect
6. #23777410C2semidirect
7. #23777390C2semidirect
8. #23777388C2semidirect
9. #23777265C2semidirect
10. #23777260C2semidirect
11. #23777205C2semidirect
12. #23777166C2semidirect
13. #23777113C2semidirect
14. #23777112C2semidirect
15. #23777049C2semidirect
16. #23776829C2semidirect
17. #23776824C2semidirect
18. #23776792C2semidirect
19. #23776789C2semidirect
20. #23776786C2semidirect
21. #23776611C2semidirect
22. C2×#19099039C2semidirect
23. C79×#3507C2semidirect
26. #19099298C22semidirect
27. #19099297C22semidirect
28. Q8×Dic158C22semidirect
29. #19099293C22semidirect
30. #19099291C22semidirect
31. #19099291C22semidirect
32. #19099291C22semidirect
33. #19099290C22semidirect
34. #19099290C22semidirect
35. #19099288C22semidirect
37. #19099286C22semidirect
39. #19099285C22semidirect
40. #19099284C22semidirect
43. #19099280C22semidirect
44. #19099280C22semidirect
49. #19099273C22semidirect
50. #19099267C22semidirect
56. #19099254C22semidirect
57. #19099250C22semidirect
61. #19099245C22semidirect
62. #19099234C22semidirect
63. #19099233C22semidirect
64. D4×Dic158C22semidirect
67. #19099228C22semidirect
72. #19099222C22semidirect
75. #19099221C22semidirect
80. #19099186C22semidirect
84. #19099182C22semidirect
86. #19099179C22semidirect
87. #19099177C22semidirect
90. #19099174C22semidirect
91. #19099173C22semidirect
93. #19099172C22semidirect
94. #19099170C22semidirect
114. #19099118C22semidirect
115. #19099117C22semidirect
116. #19099116C22semidirect
118. #19099115C22semidirect
124. #19099099C22semidirect
131. #19099093C22semidirect
132. #19099092C22semidirect
133. #19099091C22semidirect
140. #19099044C22semidirect
142. #19099042C22semidirect
144. #19099040C22semidirect
149. #19099039C22semidirect
152. #19099031C22semidirect
154. C4×#11929623C22semidirect
160. C2×#14579126C22semidirect
161. C4×Q8×D79C22semidirect
166. #559×C79C22semidirect
167. #557×C79C22semidirect
168. #556×C79C22semidirect
169. #556×C79C22semidirect
170. #554×C79C22semidirect
171. #552×C79C22semidirect
768. #3507D79semidirect
781. C79#62850semidirect
786. #559C2×D79semidirect
795. #557C2×D79semidirect
805. #556C2×D79semidirect
806. #556C2×D79semidirect
813. #554C2×D79semidirect
825. #552C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237775062
#237775042
#237774932
#237774892
#237774142
#237774102
#237773902
#237773882
#237772652
#237772602
#237772052
#237771662
#237771132
#237771122
#237770492
#237768292
#237768242
#237767922
#237767892
#237767862
#237766112
C2×#190990392
C79×#35072
#6285079