Finite Group Databasebeta

← #35197118

Subgroups — #35197118

Order 20224.

7264 conjugacy classes of subgroups.

The subgroup lattice has 1828 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777995C214yesmaximal, complemented
2#23777957C214yesmaximal, complemented
3#23777846C212yesmaximal, complemented
4#23777828C214yesmaximal, complemented
5#23777790C212yesmaximal, complemented
6#23777775C212yesmaximal, complemented
7#23777734C212yesmaximal, complemented
8#23777595C214yesmaximal, complemented
9#23777448C212yesmaximal, complemented
10#23777434C214yesmaximal, complemented
11#23777433C212yesmaximal, complemented
12#23777407C212yesmaximal, complemented
13#23777364C214yesmaximal, complemented
14#23777360C212yesmaximal, complemented
15#23777317C212yesmaximal, complemented
16#23777254C211yesmaximal, characteristic, complemented
17#23777240C214yesmaximal, complemented
18#23777189C212yesmaximal, complemented
19#23777171C211yesmaximal, characteristic, complemented
20#23777162C211yesmaximal, characteristic, complemented
21#23777123C214yesmaximal, complemented
22#23777078C212yesmaximal, complemented
23#23777070C212yesmaximal, complemented
24#23776697C211yesmaximal, characteristic, complemented
25#532×D79C211yesmaximal, characteristic, complemented
26C2×#19099100C211yesmaximal, characteristic, complemented
27C79×#3507C211yesmaximal, characteristic, complemented
28C2×#14579209C2212yescomplemented
29C2×#14579207C2212yescomplemented
30C2×#41×D79C2212yescomplemented
31#19099317C2218yescomplemented
32#19099309C2218yescomplemented
33#19099304C2218yescomplemented
34#19099303C2218yescomplemented
35#19099298C2214yescomplemented
36#19099286C2212yescomplemented
37#19099279C2212yescomplemented
38#19099278C2214yescomplemented
39#19099276C2218yescomplemented
40#19099273C2214yescomplemented
41#19099266C2214yescomplemented
42#19099266C2214yescomplemented
43#19099266C2214yescomplemented
44#19099266C2218yescomplemented
45#19099264C2218yescomplemented
46#19099262C2218yescomplemented
47#19099261C2214yescomplemented
48#19099259C2218yescomplemented
49#19099257C2214yescomplemented
50#19099252C2214yescomplemented
51#19099248C2214yescomplemented
52#19099238C2218yescomplemented
53#19099238C2218yescomplemented
54#19099237C2218yescomplemented
55#19099236C2218yescomplemented
56#19099235C2214yescomplemented
57#19099235C2212yescomplemented
58#19099235C2214yescomplemented
59#19099235C2212yescomplemented
60#19099235C2212yescomplemented
61Q8×D316C2212yescomplemented
62Q8×D316C2212yescomplemented
63#19099228C2214yescomplemented
64#19099225C2214yescomplemented
65#19099225C2214yescomplemented
66#19099225C2214yescomplemented
67#19099223C2214yescomplemented
68#19099223C2214yescomplemented
69#19099221C2214yescomplemented
70#19099218C2212yescomplemented
71#19099216C2214yescomplemented
72#19099216C2212yescomplemented
73#19099216C2212yescomplemented
74#19099211C2218yescomplemented
75#19099209C2214yescomplemented
76#19099208C2214yescomplemented
77#19099208C2218yescomplemented
78#19099206C2214yescomplemented
79#19099206C2214yescomplemented
80#19099206C2214yescomplemented
81#19099206C2214yescomplemented
82#19099205C2218yescomplemented
83#19099205C2218yescomplemented
84#19099205C2218yescomplemented
85#19099204C2214yescomplemented
86#19099204C2218yescomplemented
87#19099204C2214yescomplemented
88D4×D316C2218yescomplemented
89D4×D316C2214yescomplemented
90D4×D316C2212yescomplemented
91D4×D316C2214yescomplemented
92#19099198C2212yescomplemented
93#19099193C2214yescomplemented
94#19099186C2218yescomplemented
95#19099185C2214yescomplemented
96#19099182C2214yescomplemented
97#19099171C2214yescomplemented
98#19099169C2218yescomplemented
99#19099169C2214yescomplemented
100#19099168C2218yescomplemented
101#19099164C2214yescomplemented
102#19099164C2214yescomplemented
103#19099161C2218yescomplemented
104#19099154C2218yescomplemented
105#19099153C2214yescomplemented
106#19099153C2218yescomplemented
107#19099152C2218yescomplemented
108#19099152C2218yescomplemented
109#19099152C2218yescomplemented
110#19099149C2218yescomplemented
111#19099144C2214yescomplemented
112#19099144C2212yescomplemented
113#19099144C2214yescomplemented
114#19099143C2214yescomplemented
115#19099141C2212yescomplemented
116#19099138C2214yescomplemented
117#19099136C2214yescomplemented
118#19099132C2214yescomplemented
119#19099132C2212yescomplemented
120#19099131C2214yescomplemented
121#19099131C2214yescomplemented
122#19099124C2218yescomplemented
123#19099121C2214yescomplemented
124#19099118C2211yescharacteristic, complemented
125#19099118C2211yescharacteristic, complemented
126#19099114C2214yescomplemented
127#19099114C2211yescharacteristic, complemented
128#19099114C2211yescharacteristic, complemented
129#19099114C2211yescharacteristic, complemented
130#19099113C2214yescomplemented
131#19099113C2211yescharacteristic, complemented
132#19099113C2211yescharacteristic, complemented
133#19099112C2212yescomplemented
134#19099111C2211yescharacteristic, complemented
135#19099110C2212yescomplemented
136#19099110C2212yescomplemented
137#19099109C2212yescomplemented
138#19099108C2212yescomplemented
139#19099108C2212yescomplemented
140C4⋊Q8×D79C2211yescharacteristic, complemented
141#127×D79C2211yescharacteristic, complemented
142#19099100C2212yescomplemented
143#19099100C2214yescomplemented
144#19099100C2212yescomplemented
145#19099100C2212yescomplemented
146#19099100C2212yescomplemented
147#19099100C2212yescomplemented
148#19099100C2212yescomplemented
149#19099100C2212yescomplemented
150#19099100C2212yescomplemented
151#19099100C2212yescomplemented
152#19099100C2212yescomplemented
153#19099099C2212yescomplemented
154#19099099C2212yescomplemented
155#19099098C2212yescomplemented
156#19099098C2212yescomplemented
157#19099095C2214yescomplemented
158C2×#14579156C2212yescomplemented
159C2×#14579152C2211yescharacteristic, complemented
160C2×#14579150C2211yescharacteristic, complemented
161#124×D79C2214yescomplemented
162#124×D79C2212yescomplemented
163#19099076C2214yescomplemented
164#19099076C2212yescomplemented
165#19099076C2214yescomplemented
166#19099076C2212yescomplemented
167#19099075C2212yescomplemented
168#19099075C2214yescomplemented
169C2×#14579146C2212yescomplemented
170C2×#14579137C2211yescharacteristic, complemented
171C22⋊Q8×D79C2214yescomplemented
172C2×#14579136C2211yescharacteristic
173C2×#14579136C2214yescomplemented
174#121×D79C2212yescomplemented
175#121×D79C2214yescomplemented
176#121×D79C2212yescomplemented
177#19099045C2214yescomplemented
178#19099043C2212yescomplemented
179#19099037C2218yescomplemented
180#19099035C2214yescomplemented
181C4×#11929625C2212yescomplemented
182C4×#11929625C2212yescomplemented
183#19099031C2212yescomplemented
184C2×C4×D316C2211yescharacteristic, complemented
185C2×C4×D316C2212yescomplemented
186C4×D4×D79C2212yescomplemented
187C4×D4×D79C2212yescomplemented
188C2×#14579118C2212yescomplemented
189C2×C42×D79C2211yescharacteristic, complemented
190#559×C79C2212yescomplemented
191#557×C79C2212yescomplemented
192#556×C79C2214yescomplemented
193#556×C79C2212yescomplemented
194#554×C79C2212yescomplemented
195#552×C79C2214yescomplemented
196#539×C79C2214yescomplemented
197#536×C79C2212yescomplemented
198#533×C79C2211yescharacteristic, complemented
199#532×C79C2211yescharacteristic
200#529×C79C2214yescomplemented
201#520×C79C2212yescomplemented
202C2×C4×Q8×C79C2211yescharacteristic, complemented
203#14579209—48no—
204#14579207—48no—
205C2×#11929625C2314yes—
206C2×#11929625C2314yes—
207C2×#11929625C2314yes—
208C2×#11929625C2312yes—
209C2×#11929625C2312yes—
210C2×#11929625C2314yes—
211C2×#11929625C2312yes—
212C2×#11929624C2312yes—
213C2×#11929624C2312yes—
214C2×#11929624C2314yes—
215C2×#11929624C2314yes—
216C2×#11929624C2318yes—
217C2×#11929623C2314yes—
218C2×#11929623C2312yes—
219#41×D79—48no—
220C2×Q8×D79C2314yes—
221C2×Q8×D79C2314yes—
222C2×Q8×D79C2312yes—
223C22×D316C2311yescharacteristic
224C22×D316C2314yes—
225C22×D316C2312yes—
226C22×D316C2318yes—
227C2×D4×D79C2314yes—
228C2×D4×D79C2318yes—
229C2×D4×D79C2314yes—
230C2×D4×D79C2314yes—
231C2×D4×D79C2312yes—
232C2×D4×D79C2312yes—
233C2×D4×D79C2312yes—
234C22×C4×D79C2311yescharacteristic
235C22×C4×D79C2311yescharacteristic
236C22×C4×D79C2311yescharacteristic
237C22×C4×D79C2312yes—
238C22×C4×D79C2314yes—
239#14579161C2314yes—
240#14579161C2311yescharacteristic
241#14579161C2311yescharacteristic
242#14579160C2318yes—
243#14579160C2312yes—
244#14579160C2312yes—
245#14579159C2312yes—
246#14579158C2318yes—
247#14579158C2314yes—
248#14579158C2311yescharacteristic
249#14579158C2314yes—
250#14579158C2311yescharacteristic
251#14579157C2312yes—
252#14579157C2312yes—
253#14579157C2312yes—
254#14579156C2318yes—
255#14579156C2314yes—
256#14579156C2318yes—
257#14579156C2318yes—
258#14579156C2314yes—
259#14579156C2314yes—
260#14579156C2314yes—
261#14579156C2314yes—
262#14579156C2314yes—
263#14579155C2318yes—
264#14579154C2318yes—
265#14579153C2318yes—
266#14579152C2312yes—
267#14579152C2312yes—
268#14579152C2312yes—
269#14579152C2312yes—
270#14579152C2312yes—
271#14579152C2312yes—
272#14579151C2318yes—
273#14579150C2312yes—
274#14579150C2312yes—
275#14579150C2318yes—
276#14579150C2312yes—
277#14579150C2312yes—
278#14579150C2312yes—
279#14579150C2312yes—
280#14579150C2312yes—
281#14579149C2314yes—
282#14579149C2318yes—
283#14579149C2318yes—
284#14579149C2312yes—
285#14579149C2312yes—
286#14579148C2312yes—
287#14579147C2318yes—
288#14579147C2318yes—
289#14579147C2314yes—
290#14579147C2318yes—
291#14579147C2314yes—
292#14579146C2318yes—
293#14579146C2318yes—
294#14579146C2318yes—
295#14579146C2314yes—
296#14579146C2314yes—
297#14579146C2318yes—
298#14579146C2318yes—
299#14579146C2318yes—
300#14579146C2314yes—
301#14579146C2314yes—
302#14579146C2318yes—
303#14579146C2318yes—
304#14579146C2314yes—
305#14579146C2314yes—
306#14579145C2318yes—
307#14579145C2314yes—
308#14579144C2318yes—
309#14579143C2318yes—
310#14579143C2318yes—
311#14579143C2318yes—
312#14579143C2318yes—
313#14579141C2312yes—
314#14579141C2314yes—
315#14579141C2318yes—
316#14579141C2318yes—
317#14579141C2314yes—
318#14579141C2318yes—
319#14579141C2312yes—
320#14579140C2314yes—
321#14579139C2318yes—
322#14579139C2318yes—
323#14579139C2318yes—
324#14579139C2318yes—
325#14579138C2318yes—
326#14579137C2312yes—
327#14579137C2314yes—
328#14579137C2314yes—
329#14579137C2312yes—
330#14579137C2312yes—
331#14579137C2312yes—
332#14579137C2312yes—
333#14579137C2312yes—
334#14579136C2312yes—
335#14579136C2318yes—
336#14579136C2312yes—
337#14579136C2318yes—
338#14579136C2318yes—
339#14579136C2314yes—
340#14579136C2318yes—
341#14579136C2314yes—
342#14579136C2314yes—
343#14579136C2318yes—
344#14579136C2318yes—
345#14579136C2318yes—
346#14579136C2318yes—
347#14579136C2314yes—
348#14579136C2312yes—
349#14579136C2318yes—
350#14579136C2314yes—
351#14579136C2312yes—
352#14579136C2312yes—
353#14579136C2314yes—
354#14579136C2312yes—
355#14579136C2312yes—
356#14579136C2312yes—
357#14579136C2312yes—
358#14579136C2312yes—
359#14579135C2314yes—
360#14579135C2312yes—
361#14579135C2318yes—
362#14579135C2312yes—
363#14579135C2318yes—
364#14579135C2318yes—
365#14579135C2318yes—
366#14579135C2312yes—
367#14579135C2312yes—
368#14579134C2318yes—
369#14579134C2318yes—
370#14579134C2314yes—
371#14579134C2318yes—
372#14579134C2318yes—
373#14579134C2318yes—
374#14579134C2318yes—
375#14579134C2314yes—
376#14579133C2318yes—
377#14579133C2314yes—
378#14579133C2314yes—
379#14579132C2314yes—
380#14579132C2312yes—
381#14579132C2314yes—
382#14579132C2312yes—
383#14579131C2318yes—
384#14579131C2318yes—
385#14579131C2318yes—
386#14579131C2318yes—
387#14579131C2318yes—
388#14579131C2318yes—
389#14579131C2318yes—
390#14579131C2314yes—
391#14579131C2318yes—
392#14579129C2318yes—
393Q8×Dic79C2312yes—
394Q8×Dic79C2312yes—
395C4×Dic158C2314yes—
396#14579126C2312yes—
397#14579126C2312yes—
398C4×D316C2314yes—
399C4×D316C2314yes—
400C4×D316C2318yes—
401C4×D316C2318yes—
402C4×D316C2318yes—
403C4×D316C2314yes—
404C4×D316C2314yes—
405C4×D316C2318yes—
406C4×D316C2314yes—
407C4×D316C2312yes—
408C4×D316C2312yes—
409C4×D316C2314yes—
410C4×D316C2314yes—
411C4×D316C2312yes—
412C4×D316C2312yes—
413C4×D316C2312yes—
414C4×D316C2314yes—
415C4×D316C2314yes—
416C4×D316C2312yes—
417C4×D316C2312yes—
418C4×D316C2312yes—
419D4×Dic79C2312yes—
420D4×Dic79C2312yes—
421#14579123C2314yes—
422#14579123C2312yes—
423#14579123C2314yes—
424#14579123C2318yes—
425#14579123C2318yes—
426#14579123C2312yes—
427#14579123C2312yes—
428#14579123C2318yes—
429#14579123C2318yes—
430#14579123C2312yes—
431#14579123C2312yes—
432#14579123C2312yes—
433C4×C22⋊D79C2318yes—
434C4×C22⋊D79C2314yes—
435C4×C22⋊D79C2314yes—
436(C22⋊D79)⋊C4C2314yes—
437(C22⋊D79)⋊C4C2318yes—
438(C22⋊D79)⋊C4C2318yes—
439(C22⋊D79)⋊C4C2314yes—
440(C22⋊D79)⋊C4C2314yes—
441(C22⋊D79)⋊C4C2314yes—
442#14579120C2318yes—
443#14579119C2314yes—
444#14579119C2314yes—
445#14579119C2314yes—
446#14579119C2312yes—
447#14579119C2314yes—
448#14579119C2312yes—
449#14579118C2314yes—
450#14579118C2314yes—
451#14579118C2314yes—
452#14579118C2318yes—
453#14579118C2314yes—
454#14579118C2314yes—
455C2×C4⋊Dic79C2311yescharacteristic
456C2×C4⋊Dic79C2312yes—
457C2×Dic79⋊C4C2312yes—
458C2×Dic79⋊C4C2312yes—
459C4⋊C4×D79C2314yes—
460C4⋊C4×D79C2318yes—
461C4⋊C4×D79C2312yes—
462C4⋊C4×D79C2314yes—
463C4⋊C4×D79C2312yes—
464C2×(C2×D79)⋊C4C2312yes—
465C2×(C2×D79)⋊C4C2318yes—
466C2×(C2×D79)⋊C4C2312yes—
467C2×(C2×D79)⋊C4C2312yes—
468C2×(C2×D79)⋊C4C2312yes—
469C2×(C2×D79)⋊C4C2312yes—
470C22⋊C4×D79C2318yes—
471C22⋊C4×D79C2314yes—
472C22⋊C4×D79C2318yes—
473C22⋊C4×D79C2318yes—
474C22⋊C4×D79C2314yes—
475C22⋊C4×D79C2318yes—
476C2×C4×Dic79C2311yescharacteristic
477C2×C4×Dic79C2311yescharacteristic
478C2×C4×Dic79C2311yescharacteristic
479C42×D79C2311yescharacteristic
480C42×D79C2311yescharacteristic
481C42×D79C2311yescharacteristic
482C42×D79C2311yescharacteristic
483C42×D79C2311yescharacteristic
484C42×D79C2311yescharacteristic
485C42×D79C2311yescharacteristic
486C42×D79C2311yescharacteristic
487C42×D79C2314yes—
488C2×#41×C79C2312yes—
489C22×Q8×C79C2311yescharacteristic
490C4⋊Q8×C79C2314yes—
491C4⋊Q8×C79C2311yescharacteristic
492C4⋊Q8×C79C2311yescharacteristic
493C4⋊Q8×C79C2311yescharacteristic
494#127×C79C2311yescharacteristic
495#126×C79C2318yes—
496#126×C79C2318yes—
497#125×C79C2318yes—
498#125×C79C2314yes—
499#125×C79C2312yes—
500#124×C79C2314yes—
501#124×C79C2312yes—
502#124×C79C2314yes—
503#123×C79C2318yes—
504#123×C79C2318yes—
505C22⋊Q8×C79C2314yes—
506C22⋊Q8×C79C2314yes—
507C22⋊Q8×C79C2312yes—
508C22⋊Q8×C79C2318yes—
509C22⋊Q8×C79C2312yes—
510#121×C79C2312yes—
511#121×C79C2312yes—
512C4×Q8×C79C2314yes—
513C4×Q8×C79C2314yes—
514C4×Q8×C79C2312yes—
515C4×Q8×C79C2312yes—
516C4×Q8×C79C2312yes—
517C4×Q8×C79C2312yes—
518C4×Q8×C79C2312yes—
519C4×Q8×C79C2312yes—
520C4×D4×C79C2314yes—
521C4×D4×C79C2314yes—
522C4×D4×C79C2318yes—
523C4×D4×C79C2312yes—
524C4×D4×C79C2312yes—
525#117×C79C2318yes—
526#117×C79C2312yes—
527#117×C79C2314yes—
528C2×C4⋊C4×C79C2311yescharacteristic
529C2×C4⋊C4×C79C2312yes—
530C2×C4⋊C4×C79C2314yes—
531C2×C42×C79C2312yes—
532C2×C42×C79C2311yescharacteristic
533C23×D79C2411yescharacteristic
534C23×D79C2414yes—
535C23×D79C2412yes—
536C23×D79C2418yes—
537#11929625—44no—
538#11929625—48no—
539#11929625—44no—
540#11929625—48no—
541#11929625—48no—
542#11929625—48no—
543#11929625—44no—
544#11929624—28no—
545#11929624—28no—
546#11929624—416no—
547#11929624—48no—
548#11929624—48no—
549#11929623—48no—
550#11929623—44no—
551C2×Dic158C2412yes—
552C2×Dic158C2412yes—
553C2×Dic158C2418yes—
554C2×Dic158C2414yes—
555Q8×D79—44no—
556Q8×D79—48no—
557Q8×D79—48no—
558C2×D316—24no—
559C2×D316—48no—
560C2×D316—44no—
561C2×D316—416no—
562C2×D316C2412yes—
563C2×D316C2412yes—
564C2×D316C2412yes—
565C2×D316C2412yes—
566C2×D316C2412yes—
567C2×D316C2414yes—
568C2×D316C2412yes—
569C2×D316C2414yes—
570C2×D316C2418yes—
571C2×D316C2414yes—
572C2×D316C2418yes—
573C2×D316C2412yes—
574C2×D316C2414yes—
575C2×D316C2418yes—
576C2×D316C2418yes—
577C2×D316C2412yes—
578C2×D316C2414yes—
579C2×D316C2418yes—
580C2×C22⋊D79C2414yes—
581C2×C22⋊D79C2414yes—
582C2×C22⋊D79C2414yes—
583C2×C22⋊D79C2414yes—
584C2×C22⋊D79C2418yes—
585C2×C22⋊D79C2418yes—
586C2×C22⋊D79C2414yes—
587C2×C22⋊D79C2414yes—
588D4×D79—48no—
589D4×D79—416no—
590D4×D79—44no—
591D4×D79—48no—
592D4×D79—44no—
593D4×D79—48no—
594D4×D79—44no—
595C22×Dic79C2411yescharacteristic
596C22×Dic79C2414yes—
597C22×Dic79C2411yescharacteristic
598C22×Dic79C2411yescharacteristic
599C22×Dic79C2412yes—
600C2×C4×D79—24no—
601C2×C4×D79—48no—
602C2×C4×D79—42no—
603C2×C4×D79—44no—
604C2×C4×D79—42no—
605C2×C4×D79C2411yescharacteristic
606C2×C4×D79C2414yes—
607C2×C4×D79C2414yes—
608C2×C4×D79C2411yescharacteristic
609C2×C4×D79C2411yescharacteristic
610C2×C4×D79C2411yescharacteristic
611C2×C4×D79C2411yescharacteristic
612C2×C4×D79C2414yes—
613C2×C4×D79C2411yescharacteristic
614C2×C4×D79C2411yescharacteristic
615C2×C4×D79C2411yescharacteristic
616C2×C4×D79C2418yes—
617C2×C4×D79C2418yes—
618C2×C4×D79C2414yes—
619C2×C4×D79C2414yes—
620C2×C4×D79C2418yes—
621C2×C4×D79C2414yes—
622C2×C4×D79C2414yes—
623C2×C4×D79C2418yes—
624C2×C4×D79C2411yescharacteristic
625C2×C4×D79C2411yescharacteristic
626C2×C4×D79C2411yescharacteristic
627C2×C4×D79C2411yescharacteristic
628C2×C4×D79C2414yes—
629C4⋊Dic79C2412yes—
630C4⋊Dic79C2412yes—
631C4⋊Dic79C2414yes—
632C4⋊Dic79C2412yes—
633C4⋊Dic79C2412yes—
634C4⋊Dic79C2414yes—
635C4⋊Dic79C2412yes—
636C4⋊Dic79C2414yes—
637C4⋊Dic79C2414yes—
638C4⋊Dic79C2412yes—
639C4⋊Dic79C2418yes—
640Dic79⋊C4C2414yes—
641Dic79⋊C4C2418yes—
642Dic79⋊C4C2414yes—
643Dic79⋊C4C2414yes—
644Dic79⋊C4C2418yes—
645Dic79⋊C4C2414yes—
646Dic79⋊C4C2414yes—
647Dic79⋊C4C2414yes—
648Dic79⋊C4C2414yes—
649Dic79⋊C4C2414yes—
650C22⋊Dic79C2414yes—
651C22⋊Dic79C2414yes—
652C22⋊Dic79C2418yes—
653(C2×D79)⋊C4C2414yes—
654(C2×D79)⋊C4C2414yes—
655(C2×D79)⋊C4C2414yes—
656(C2×D79)⋊C4C2414yes—
657(C2×D79)⋊C4C2414yes—
658(C2×D79)⋊C4C2418yes—
659(C2×D79)⋊C4C2414yes—
660(C2×D79)⋊C4C2414yes—
661(C2×D79)⋊C4C2414yes—
662(C2×D79)⋊C4C2414yes—
663(C2×D79)⋊C4C2418yes—
664(C2×D79)⋊C4C2418yes—
665(C2×D79)⋊C4C2414yes—
666(C2×D79)⋊C4C2414yes—
667(C2×D79)⋊C4C2414yes—
668(C2×D79)⋊C4C2414yes—
669(C2×D79)⋊C4C2418yes—
670(C2×D79)⋊C4C2414yes—
671(C2×D79)⋊C4C2414yes—
672(C2×D79)⋊C4C2414yes—
673(C2×D79)⋊C4C2414yes—
674(C2×D79)⋊C4C2414yes—
675(C2×D79)⋊C4C2414yes—
676(C2×D79)⋊C4C2418yes—
677(C2×D79)⋊C4C2418yes—
678(C2×D79)⋊C4C2414yes—
679(C2×D79)⋊C4C2414yes—
680(C2×D79)⋊C4C2414yes—
681C4×Dic79C2411yescharacteristic
682C4×Dic79C2411yescharacteristic
683C4×Dic79C2411yescharacteristic
684C4×Dic79C2411yescharacteristic
685C4×Dic79C2411yescharacteristic
686C4×Dic79C2411yescharacteristic
687C4×Dic79C2411yescharacteristic
688C4×Dic79C2411yescharacteristic
689C4×Dic79C2411yescharacteristic
690C4×Dic79C2411yescharacteristic
691C4×Dic79C2411yescharacteristic
692C4×Dic79C2411yescharacteristic
693C4×Dic79C2414yes—
694C4×Dic79C2414yes—
695C4×Dic79C2418yes—
696#41×C79—28no—
697C2×Q8×C79—24no—
698C2×Q8×C79C2412yes—
699C2×Q8×C79C2412yes—
700C2×Q8×C79C2412yes—
701C2×Q8×C79C2412yes—
702C2×Q8×C79C2412yes—
703C2×D4×C79C2414yes—
704C2×D4×C79C2412yes—
705C2×D4×C79C2412yes—
706C2×D4×C79C2412yes—
707C22×C4×C79C2412yes—
708C22×C4×C79C2414yes—
709C22×C4×C79C2411yescharacteristic
710C22×C4×C79C2412yes—
711C22×C4×C79C2411yescharacteristic
712C22×C4×C79C2418yes—
713C22×C4×C79C2411yescharacteristic
714C4⋊C4×C79C2412yes—
715C4⋊C4×C79C2412yes—
716C4⋊C4×C79C2412yes—
717C4⋊C4×C79C2418yes—
718C4⋊C4×C79C2414yes—
719C4⋊C4×C79C2414yes—
720C4⋊C4×C79C2412yes—
721C4⋊C4×C79C2414yes—
722C4⋊C4×C79C2418yes—
723C4⋊C4×C79C2412yes—
724C4⋊C4×C79C2412yes—
725C4⋊C4×C79C2412yes—
726C4⋊C4×C79C2414yes—
727C4⋊C4×C79C2418yes—
728C4⋊C4×C79C2412yes—
729C22⋊C4×C79C2414yes—
730C22⋊C4×C79C2414yes—
731C22⋊C4×C79C2418yes—
732C22⋊C4×C79C2418yes—
733C22⋊C4×C79C2414yes—
734C22⋊C4×C79C2418yes—
735C42×C79C2414yes—
736C42×C79C2411yescharacteristic
737C42×C79C2411yescharacteristic
738C42×C79C2414yes—
739C42×C79C2411yescharacteristic
740C42×C79C2411yescharacteristic
741C42×C79C2418yes—
742C42×C79C2414yes—
743C23×C79C2514yes—
744C23×C79C2511yescharacteristic
745C22×D79—22no—
746C22×D79—24no—
747C22×D79—22no—
748C22×D79—28no—
749C22×D79—41no—
750C22×D79—44no—
751C22×D79—42no—
752C22×D79—44no—
753C22×D79—42no—
754C22×D79—48no—
755C22×D79—48no—
756C22×D79—48no—
757C22×D79C2514yes—
758C22×D79C2514yes—
759C22×D79C2514yes—
760C22×D79C2511yescharacteristic
761C22×D79C2511yescharacteristic
762Q8×C79—24no—
763Q8×C79—24no—
764Q8×C79—24no—
765Q8×C79—24no—
766Q8×C79—42no—
767D4×C79—28no—
768D4×C79—24no—
769D4×C79—24no—
770D4×C79—42no—
771C2×C4×C79—24no—
772C2×C4×C79—28no—
773C2×C4×C79—22no—
774C2×C4×C79—41no—
775C2×C4×C79—42no—
776C2×C4×C79—48no—
777C2×C4×C79H(5,𝔽2)14yes—
778C2×C4×C79C2514yes—
779C2×C4×C79C2511yescharacteristic
780C2×C4×C79C2511yescharacteristic
781C2×C4×C79C2511yescharacteristic
782C2×C4×C79C2514yes—
783C2×C4×C79C2514yes—
784C2×C4×C79C2514yes—
785C2×C4×C79C2514yes—
786C2×C4×C79C2511yescharacteristic
787C2×C4×C79C2511yescharacteristic
788C2×C4×C79C2511yescharacteristic
789C22⋊D79—28no—
790C22⋊D79—28no—
791C22⋊D79—48no—
792C22⋊D79—44no—
793C22⋊D79—44no—
794C22⋊D79—48no—
795C22⋊D79—44no—
796C22⋊D79—44no—
797C2×Dic79—22no—
798C2×Dic79—41no—
799C2×Dic79—41no—
800C2×Dic79—42no—
801C2×Dic79—44no—
802C2×Dic79C2511yescharacteristic
803C2×Dic79C2511yescharacteristic
804C2×Dic79C2511yescharacteristic
805C2×Dic79C2511yescharacteristic
806C2×Dic79C2511yescharacteristic
807C2×Dic79C2511yescharacteristic
808C2×Dic79C2514yes—
809C2×Dic79C2514yes—
810C2×Dic79C2514yes—
811D316—28no—
812D316—28no—
813D316—24no—
814D316—24no—
815D316—24no—
816D316—24no—
817D316—24no—
818D316—24no—
819D316—48no—
820D316—42no—
821D316—44no—
822D316—48no—
823D316—44no—
824D316—48no—
825D316—48no—
826D316—42no—
827D316—44no—
828D316—48no—
829C4×D79—22no—
830C4×D79—22no—
831C4×D79—22no—
832C4×D79—22no—
833C4×D79—22no—
834C4×D79—22no—
835C4×D79—28no—
836C4×D79—28no—
837C4×D79—22no—
838C4×D79—28no—
839C4×D79—22no—
840C4×D79—41no—
841C4×D79—41no—
842C4×D79—44no—
843C4×D79—41no—
844C4×D79—41no—
845C4×D79—44no—
846C4×D79—44no—
847C4×D79—48no—
848C4×D79—48no—
849C4×D79—48no—
850C4×D79—48no—
851C4×D79—44no—
852C4×D79—44no—
853Dic158—24no—
854Dic158—24no—
855Dic158—48no—
856Dic158—44no—
857C22×C79—21no—
858C22×C79—21no—
859C22×C79—24no—
860C22×C79—24no—
861C22×C79—24no—
862C22×C79C2×H(5,𝔽2)12yes—
863C22×C79C2611yescharacteristic
864C2×D79—21no—
865C2×D79—21no—
866C2×D79—24no—
867C2×D79—24no—
868C2×D79—21no—
869C2×D79—24no—
870C2×D79—24no—
871C2×D79—24no—
872C2×D79—24no—
873C2×D79—21no—
874C2×D79—24no—
875C2×D79—24no—
876C2×D79—24no—
877C2×D79—21no—
878C2×D79—44no—
879C2×D79—88no—
880C2×D79—84no—
881C2×D79—168no—
882C2×D79#58512yes—
883C4×C79—24no—
884C4×C79—24no—
885C4×C79—21no—
886C4×C79—24no—
887C4×C79—24no—
888C4×C79—21no—
889C4×C79—21no—
890C4×C79—24no—
891C4×C79C2×H(5,𝔽2)12yes—
892C4×C79C2×H(5,𝔽2)12yes—
893C4×C79#58512yes—
894Dic79—24no—
895Dic79—24no—
896Dic79—21no—
897Dic79—21no—
898Dic79—21no—
899Dic79—21no—
900Dic79—24no—
901Dic79—21no—
902Dic79—21no—
903#62830—791nomaximal, Sylow
904C2×C79—22no—
905C2×C79—44no—
906C2×C79C22×H(5,𝔽2)11yescharacteristic
907C2×C79C2×#58511yescharacteristic
908C2×C79C2×#58511yescharacteristic
909D79—22no—
910D79—41no—
911D79—44no—
912D79—44no—
913D79—44no—
914#3562—794no—
915#3560—794no—
916#3552—792no—
917#3551—794no—
918#3547—792no—
919#3546—792no—
920#3543—792no—
921#3534—794no—
922#3520—792no—
923#3519—792no—
924#3519—794no—
925#3517—792no—
926#3514—792no—
927#3514—794no—
928#3512—792no—
929#3507D7911yescharacteristic, complemented
930#3506—791no—
931#3505—794no—
932#3500—792no—
933#3497—791no—
934#3496—791no—
935#3494—794no—
936#3489—792no—
937#3488—792no—
938#3444—791no—
939C2×#532—791no—
940C2×#529—791no—
941C79#6283011yescharacteristic, complemented, Sylow
942C2×2−1+4—792no—
943C2×H(5,𝔽2)—792no—
944C22×#41—792no—
945#563—798no—
946#562—798no—
947#560—798no—
948#560—798no—
949#559—794no—
950#559C2×D7912yescomplemented
951#557C2×D7912yescomplemented
952#556—792no—
953#556C2×D7914yescomplemented
954#556C2×D7912yescomplemented
955#555—792no—
956#555—794no—
957#555—798no—
958#554—794no—
959#554C2×D7912yescomplemented
960#553—798no—
961#553—794no—
962#553—798no—
963#553—794no—
964#553—794no—
965#553—798no—
966#553—798no—
967#553—794no—
968#553—794no—
969#552—794no—
970#552—794no—
971#552C2×D7914yescomplemented
972#551—798no—
973#551—798no—
974#551—798no—
975#551—798no—
976#550—794no—
977#550—792no—
978#550—792no—
979#550—792no—
980#550—794no—
981D4×Q8—794no—
982D4×Q8—792no—
983D4×Q8—792no—
984#548—794no—
985#548—794no—
986#548—794no—
987#548—794no—
988#548—794no—
989#548—794no—
990#547—794no—
991#547—792no—
992#547—792no—
993#547—798no—
994#547—792no—
995#546—794no—
996#546—794no—
997#546—794no—
998#546—794no—
999#546—798no—
1000#546—798no—
1001#546—798no—
1002#546—794no—
1003#546—794no—
1004#546—798no—
1005#546—798no—
1006#546—794no—
1007#546—794no—
1008D42—792no—
1009D42—794no—
1010D42—798no—
1011D42—792no—
1012D42—794no—
1013#544—794no—
1014#542—794no—
1015#542—798no—
1016#542—794no—
1017#541—794no—
1018#540—794no—
1019#540—798no—
1020#540—794no—
1021#540—794no—
1022#540—798no—
1023#539—798no—
1024#539—798no—
1025#539C2×D7914yescomplemented
1026#538—798no—
1027#538—798no—
1028#538—798no—
1029#538—798no—
1030#538—794no—
1031#538—798no—
1032#537—792no—
1033#537—794no—
1034#537—792no—
1035#537—794no—
1036#537—794no—
1037#536—794no—
1038#536—794no—
1039#536C2×D7912yescomplemented
1040#535—794no—
1041#535—794no—
1042#535—792no—
1043#535—794no—
1044#534—798no—
1045#534—794no—
1046#533—791no—
1047#533—791no—
1048#533C2×D7911yescharacteristic, complemented
1049#532—792no—
1050#532—791no—
1051#532—791no—
1052#532—791no—
1053#532—794no—
1054#532—791no—
1055#532—792no—
1056#532—792no—
1057#532—792no—
1058#532—792no—
1059#532—792no—
1060#532—791no—
1061#532—791no—
1062#532—794no—
1063#532C2×D7911yescharacteristic
1064C2×C4⋊Q8—791no—
1065C2×#127—791no—
1066#529—792no—
1067#529—792no—
1068#529—792no—
1069#529—792no—
1070#529—792no—
1071#529—792no—
1072#529—792no—
1073#529—792no—
1074#529—792no—
1075#529—792no—
1076#529—792no—
1077#529—792no—
1078#529—792no—
1079#529—792no—
1080#529—794no—
1081#529—794no—
1082#529C2×D7914yescomplemented
1083C2×#126—792no—
1084C2×#125—791no—
1085C2×#124—791no—
1086C2×#124—792no—
1087C2×#124—794no—
1088#525—792no—
1089#525—792no—
1090#525—794no—
1091#525—794no—
1092#525—792no—
1093#525—794no—
1094C2×#123—792no—
1095C2×C22⋊Q8—791no—
1096C2×C22⋊Q8—794no—
1097C2×#121—792no—
1098C2×#121—792no—
1099C2×#121—794no—
1100C2×#121—791no—
1101C2×#121—794no—
1102#520—794no—
1103#520—792no—
1104#520C2×D7912yescomplemented
1105#518—794no—
1106#518—798no—
1107C4×#41—792no—
1108C4×#41—792no—
1109C4×#41—792no—
1110C2×C4×Q8C2×D7911yescharacteristic, complemented
1111C2×C4×D4—792no—
1112C2×C4×D4—792no—
1113C2×C4×D4—791no—
1114C2×C4×D4—792no—
1115C2×#117—792no—
1116C22×C42—791no—
11172−1+4—3168no—
1118H(5,𝔽2)—3168no—
1119C2×#41—3168no—
1120C2×#41—792no—
1121C2×#41—792no—
1122C2×#41—794no—
1123C2×#41—794no—
1124C2×#41—792no—
1125C2×#41—794no—
1126C2×#41—794no—
1127C2×#41—794no—
1128C2×#41—792no—
1129C2×#41—794no—
1130C2×#41—794no—
1131C2×#41—798no—
1132C2×#41—792no—
1133C2×#41—792no—
1134C2×#41C22×D7912yes—
1135C22×Q8—794no—
1136C22×Q8—792no—
1137C22×Q8—794no—
1138C22×Q8C22×D7911yescharacteristic
1139C22×D4—792no—
1140C22×D4—792no—
1141C22×D4—794no—
1142C22×D4—794no—
1143C22×D4—798no—
1144C22×D4—792no—
1145C22×D4—794no—
1146C22×D4—792no—
1147C22×D4—798no—
1148C22×D4—794no—
1149C22×D4—791no—
1150C23×C4—792no—
1151C23×C4—791no—
1152C23×C4—794no—
1153C23×C4—791no—
1154C23×C4—791no—
1155C4⋊Q8—792no—
1156C4⋊Q8—792no—
1157C4⋊Q8—792no—
1158C4⋊Q8—798no—
1159C4⋊Q8—791no—
1160C4⋊Q8—791no—
1161C4⋊Q8—794no—
1162C4⋊Q8C22×D7911yescharacteristic
1163C4⋊Q8C22×D7911yescharacteristic
1164C4⋊Q8C22×D7911yescharacteristic
1165C4⋊Q8C22×D7914yes—
1166#127—792no—
1167#127—792no—
1168#127—792no—
1169#127—791no—
1170#127—791no—
1171#127—794no—
1172#127—794no—
1173#127—798no—
1174#127C22×D7911yescharacteristic
1175#126—794no—
1176#126—794no—
1177#126—794no—
1178#126—794no—
1179#126—794no—
1180#126—794no—
1181#126—798no—
1182#126—798no—
1183#126—798no—
1184#126—798no—
1185#126—798no—
1186#126C22×D7918yes—
1187#126C22×D7918yes—
1188#125—792no—
1189#125—792no—
1190#125—792no—
1191#125—792no—
1192#125—792no—
1193#125—792no—
1194#125—798no—
1195#125—798no—
1196#125C22×D7912yes—
1197#125C22×D7914yes—
1198#125C22×D7918yes—
1199#124—792no—
1200#124—792no—
1201#124—792no—
1202#124—792no—
1203#124—792no—
1204#124—792no—
1205#124—792no—
1206#124—798no—
1207#124—792no—
1208#124—794no—
1209#124—794no—
1210#124—798no—
1211#124—798no—
1212#124—798no—
1213#124—792no—
1214#124—794no—
1215#124—792no—
1216#124—798no—
1217#124—798no—
1218#124C22×D7912yes—
1219#124C22×D7914yes—
1220#124C22×D7914yes—
1221#123—798no—
1222#123—794no—
1223#123—794no—
1224#123—794no—
1225#123—794no—
1226#123—794no—
1227#123—794no—
1228#123—798no—
1229#123—798no—
1230#123—798no—
1231#123—798no—
1232#123—798no—
1233#123—798no—
1234#123—798no—
1235#123—798no—
1236#123—794no—
1237#123—798no—
1238#123—798no—
1239#123—798no—
1240#123—798no—
1241#123—798no—
1242#123C22×D7918yes—
1243#123C22×D7918yes—
1244C22⋊Q8—792no—
1245C22⋊Q8—792no—
1246C22⋊Q8—792no—
1247C22⋊Q8—792no—
1248C22⋊Q8—792no—
1249C22⋊Q8—792no—
1250C22⋊Q8—794no—
1251C22⋊Q8—794no—
1252C22⋊Q8—794no—
1253C22⋊Q8—792no—
1254C22⋊Q8—798no—
1255C22⋊Q8—792no—
1256C22⋊Q8—794no—
1257C22⋊Q8—794no—
1258C22⋊Q8—798no—
1259C22⋊Q8—798no—
1260C22⋊Q8—798no—
1261C22⋊Q8—798no—
1262C22⋊Q8—798no—
1263C22⋊Q8—798no—
1264C22⋊Q8—798no—
1265C22⋊Q8C22×D7914yes—
1266C22⋊Q8C22×D7912yes—
1267C22⋊Q8C22×D7912yes—
1268C22⋊Q8C22×D7914yes—
1269C22⋊Q8C22×D7918yes—
1270#121—792no—
1271#121—794no—
1272#121—794no—
1273#121—792no—
1274#121—798no—
1275#121—794no—
1276#121—794no—
1277#121—792no—
1278#121—792no—
1279#121—792no—
1280#121—792no—
1281#121—794no—
1282#121—798no—
1283#121—798no—
1284#121—798no—
1285#121—798no—
1286#121—792no—
1287#121—792no—
1288#121—792no—
1289#121—792no—
1290#121—792no—
1291#121—792no—
1292#121—792no—
1293#121—794no—
1294#121—794no—
1295#121—798no—
1296#121—798no—
1297#121—794no—
1298#121—792no—
1299#121—792no—
1300#121—792no—
1301#121—794no—
1302#121—794no—
1303#121—794no—
1304#121—798no—
1305#121—798no—
1306#121—798no—
1307#121—798no—
1308#121—798no—
1309#121—798no—
1310#121—798no—
1311#121—794no—
1312#121—794no—
1313#121—798no—
1314#121—798no—
1315#121—798no—
1316#121—798no—
1317#121—798no—
1318#121—798no—
1319#121C22×D7912yes—
1320#121C22×D7912yes—
1321#120—798no—
1322#120—794no—
1323#120—798no—
1324#120—798no—
1325#120—798no—
1326#120—798no—
1327#120—798no—
1328#120—798no—
1329#120—798no—
1330#120—798no—
1331C4×Q8—792no—
1332C4×Q8—792no—
1333C4×Q8—792no—
1334C4×Q8—792no—
1335C4×Q8—794no—
1336C4×Q8C22×D7912yes—
1337C4×Q8C22×D7912yes—
1338C4×Q8C22×D7912yes—
1339C4×Q8C22×D7912yes—
1340C4×Q8C22×D7912yes—
1341C4×Q8C22×D7912yes—
1342C4×Q8C22×D7914yes—
1343C4×Q8C22×D7914yes—
1344C4×D4—792no—
1345C4×D4—792no—
1346C4×D4—794no—
1347C4×D4—794no—
1348C4×D4—798no—
1349C4×D4—792no—
1350C4×D4—792no—
1351C4×D4—794no—
1352C4×D4—792no—
1353C4×D4—794no—
1354C4×D4—792no—
1355C4×D4—792no—
1356C4×D4—792no—
1357C4×D4—798no—
1358C4×D4—798no—
1359C4×D4—798no—
1360C4×D4—798no—
1361C4×D4—794no—
1362C4×D4—794no—
1363C4×D4—794no—
1364C4×D4—794no—
1365C4×D4—798no—
1366C4×D4—798no—
1367C4×D4—794no—
1368C4×D4—794no—
1369C4×D4—794no—
1370C4×D4—792no—
1371C4×D4—792no—
1372C4×D4—792no—
1373C4×D4—792no—
1374C4×D4—794no—
1375C4×D4—792no—
1376C4×D4—792no—
1377C4×D4—794no—
1378C4×D4—794no—
1379C4×D4—792no—
1380C4×D4—792no—
1381C4×D4—798no—
1382C4×D4—798no—
1383C4×D4—798no—
1384C4×D4—794no—
1385C4×D4—798no—
1386C4×D4—794no—
1387C4×D4—794no—
1388C4×D4C22×D7912yes—
1389C4×D4C22×D7912yes—
1390C4×D4C22×D7914yes—
1391C4×D4C22×D7914yes—
1392C4×D4C22×D7918yes—
1393#117—798no—
1394#117—792no—
1395#117—792no—
1396#117—794no—
1397#117—794no—
1398#117—794no—
1399#117—794no—
1400#117—794no—
1401#117—794no—
1402#117—794no—
1403#117—794no—
1404#117—794no—
1405#117—798no—
1406#117C22×D7912yes—
1407#117C22×D7918yes—
1408#117C22×D7914yes—
1409C2×C4⋊C4—792no—
1410C2×C4⋊C4—792no—
1411C2×C4⋊C4—791no—
1412C2×C4⋊C4—792no—
1413C2×C4⋊C4—792no—
1414C2×C4⋊C4—792no—
1415C2×C4⋊C4—794no—
1416C2×C4⋊C4—794no—
1417C2×C4⋊C4—798no—
1418C2×C4⋊C4C22×D7911yescharacteristic
1419C2×C4⋊C4C22×D7912yes—
1420C2×C4⋊C4C22×D7914yes—
1421C2×C22⋊C4—792no—
1422C2×C22⋊C4—792no—
1423C2×C22⋊C4—792no—
1424C2×C22⋊C4—792no—
1425C2×C22⋊C4—792no—
1426C2×C22⋊C4—798no—
1427C2×C22⋊C4—794no—
1428C2×C22⋊C4—794no—
1429C2×C22⋊C4—798no—
1430C2×C22⋊C4—798no—
1431C2×C22⋊C4—798no—
1432C2×C22⋊C4—798no—
1433C2×C42—791no—
1434C2×C42—791no—
1435C2×C42—791no—
1436C2×C42—791no—
1437C2×C42—791no—
1438C2×C42—794no—
1439C2×C42—791no—
1440C2×C42—791no—
1441C2×C42—791no—
1442C2×C42—791no—
1443C2×C42—791no—
1444C2×C42—791no—
1445C2×C42C22×D7912yes—
1446C2×C42C22×D7911yescharacteristic
1447C24—798no—
1448C24—794no—
1449C24—792no—
1450C24—791no—
1451#41—28no—
1452#41—3168no—
1453#41—31616no—
1454#41—3168no—
1455#41—3164no—
1456#41—3168no—
1457#41—3164no—
1458#41—3168no—
1459#41—3164no—
1460#41—3168no—
1461#41—3168no—
1462#41—3168no—
1463#41—3164no—
1464#41—1588no—
1465#41—1588no—
1466C2×Q8—24no—
1467C2×Q8—3164no—
1468C2×Q8—3168no—
1469C2×Q8—3168no—
1470C2×Q8—798no—
1471C2×Q8—794no—
1472C2×Q8—792no—
1473C2×Q8—792no—
1474C2×Q8C23×D7912yes—
1475C2×Q8C23×D7912yes—
1476C2×Q8C23×D7912yes—
1477C2×Q8C23×D7912yes—
1478C2×Q8C23×D7912yes—
1479C2×D4—3168no—
1480C2×D4—3164no—
1481C2×D4—31616no—
1482C2×D4—3168no—
1483C2×D4—31616no—
1484C2×D4—3164no—
1485C2×D4—3168no—
1486C2×D4—3164no—
1487C2×D4—3168no—
1488C2×D4—3164no—
1489C2×D4—798no—
1490C2×D4—794no—
1491C2×D4—794no—
1492C2×D4—794no—
1493C2×D4—798no—
1494C2×D4—794no—
1495C2×D4—794no—
1496C2×D4—794no—
1497C2×D4—792no—
1498C2×D4—798no—
1499C2×D4—794no—
1500C2×D4—798no—
1501C2×D4—794no—
1502C2×D4—798no—
1503C2×D4—792no—
1504C2×D4—798no—
1505C2×D4—798no—
1506C2×D4—794no—
1507C2×D4—794no—
1508C2×D4—794no—
1509C2×D4—792no—
1510C2×D4—792no—
1511C2×D4—792no—
1512C2×D4—792no—
1513C2×D4—792no—
1514C2×D4—792no—
1515C2×D4—1584no—
1516C2×D4C23×D7912yes—
1517C2×D4C23×D7914yes—
1518C2×D4C23×D7912yes—
1519C2×D4C23×D7912yes—
1520C22×C4—3162no—
1521C22×C4—3164no—
1522C22×C4—3168no—
1523C22×C4—3162no—
1524C22×C4—791no—
1525C22×C4—791no—
1526C22×C4—792no—
1527C22×C4—794no—
1528C22×C4—791no—
1529C22×C4—791no—
1530C22×C4—791no—
1531C22×C4—791no—
1532C22×C4—794no—
1533C22×C4—794no—
1534C22×C4—794no—
1535C22×C4—794no—
1536C22×C4—798no—
1537C22×C4—798no—
1538C22×C4—798no—
1539C22×C4—798no—
1540C22×C4—794no—
1541C22×C4—791no—
1542C22×C4—791no—
1543C22×C4—791no—
1544C22×C4—791no—
1545C22×C4—791no—
1546C22×C4—791no—
1547C22×C4—791no—
1548C22×C4—791no—
1549C22×C4—791no—
1550C22×C4—794no—
1551C22×C4—794no—
1552C22×C4—794no—
1553C22×C4—1584no—
1554C22×C4C23×D7911yescharacteristic
1555C22×C4C23×D7912yes—
1556C22×C4C23×D7914yes—
1557C22×C4C23×D7911yescharacteristic
1558C22×C4C23×D7912yes—
1559C22×C4C23×D7918yes—
1560C22×C4C23×D7911yescharacteristic
1561C4⋊C4—794no—
1562C4⋊C4—798no—
1563C4⋊C4—794no—
1564C4⋊C4—794no—
1565C4⋊C4—794no—
1566C4⋊C4—794no—
1567C4⋊C4—794no—
1568C4⋊C4—798no—
1569C4⋊C4—794no—
1570C4⋊C4—794no—
1571C4⋊C4—792no—
1572C4⋊C4—792no—
1573C4⋊C4—794no—
1574C4⋊C4—792no—
1575C4⋊C4—794no—
1576C4⋊C4—792no—
1577C4⋊C4—792no—
1578C4⋊C4—794no—
1579C4⋊C4—798no—
1580C4⋊C4—794no—
1581C4⋊C4—792no—
1582C4⋊C4C23×D7912yes—
1583C4⋊C4C23×D7912yes—
1584C4⋊C4C23×D7912yes—
1585C4⋊C4C23×D7918yes—
1586C4⋊C4C23×D7912yes—
1587C4⋊C4C23×D7912yes—
1588C4⋊C4C23×D7912yes—
1589C4⋊C4C23×D7918yes—
1590C4⋊C4C23×D7914yes—
1591C4⋊C4C23×D7914yes—
1592C4⋊C4C23×D7912yes—
1593C4⋊C4C23×D7914yes—
1594C4⋊C4C23×D7914yes—
1595C4⋊C4C23×D7912yes—
1596C4⋊C4C23×D7918yes—
1597C22⋊C4—794no—
1598C22⋊C4—794no—
1599C22⋊C4—798no—
1600C22⋊C4—794no—
1601C22⋊C4—794no—
1602C22⋊C4—794no—
1603C22⋊C4—794no—
1604C22⋊C4—794no—
1605C22⋊C4—794no—
1606C22⋊C4—794no—
1607C22⋊C4—798no—
1608C22⋊C4—794no—
1609C22⋊C4—794no—
1610C22⋊C4—794no—
1611C22⋊C4—794no—
1612C22⋊C4—794no—
1613C22⋊C4—794no—
1614C22⋊C4—794no—
1615C22⋊C4—798no—
1616C22⋊C4—794no—
1617C22⋊C4—798no—
1618C22⋊C4—798no—
1619C22⋊C4—794no—
1620C22⋊C4—794no—
1621C22⋊C4—794no—
1622C22⋊C4—794no—
1623C22⋊C4—794no—
1624C22⋊C4—794no—
1625C22⋊C4—798no—
1626C22⋊C4—794no—
1627C22⋊C4—798no—
1628C22⋊C4C23×D7914yes—
1629C22⋊C4C23×D7918yes—
1630C22⋊C4C23×D7914yes—
1631C22⋊C4C23×D7918yes—
1632C22⋊C4C23×D7914yes—
1633C22⋊C4C23×D7918yes—
1634C42—791no—
1635C42—791no—
1636C42—791no—
1637C42—791no—
1638C42—791no—
1639C42—791no—
1640C42—791no—
1641C42—791no—
1642C42—791no—
1643C42—791no—
1644C42—791no—
1645C42—791no—
1646C42—794no—
1647C42—794no—
1648C42—798no—
1649C42C23×D7911yescharacteristic
1650C42C23×D7911yescharacteristic
1651C42C23×D7911yescharacteristic
1652C42C23×D7911yescharacteristic
1653C42C23×D7914yes—
1654C42C23×D7914yes—
1655C42C23×D7914yes—
1656C42C23×D7918yes—
1657C23—3161no—
1658C23—3164no—
1659C23—3162no—
1660C23—3162no—
1661C23—3164no—
1662C23—3168no—
1663C23—3168no—
1664C23—3168no—
1665C23—791no—
1666C23—794no—
1667C23—794no—
1668C23—794no—
1669C23—791no—
1670C23—1582no—
1671C23—1588no—
1672C23—1582no—
1673C23—1584no—
1674C23C24×D7914yes—
1675C23C24×D7911yescharacteristic
1676Q8—24no—
1677Q8—24no—
1678Q8—24no—
1679Q8—24no—
1680Q8—42no—
1681Q8—3168no—
1682Q8—3164no—
1683Q8—1584no—
1684Q8—1584no—
1685D4—28no—
1686D4—24no—
1687D4—24no—
1688D4—42no—
1689D4—3168no—
1690D4—3164no—
1691D4—3164no—
1692D4—3168no—
1693D4—3168no—
1694D4—3162no—
1695D4—3168no—
1696D4—3162no—
1697D4—3168no—
1698D4—3164no—
1699D4—3168no—
1700D4—3164no—
1701D4—3168no—
1702D4—3164no—
1703D4—3164no—
1704D4—3164no—
1705D4—1588no—
1706D4—1588no—
1707D4—1588no—
1708D4—1588no—
1709D4—1584no—
1710D4—1584no—
1711D4—1584no—
1712D4—1584no—
1713D4—1584no—
1714D4—1584no—
1715C2×C4—24no—
1716C2×C4—28no—
1717C2×C4—22no—
1718C2×C4—41no—
1719C2×C4—42no—
1720C2×C4—48no—
1721C2×C4—3164no—
1722C2×C4—3164no—
1723C2×C4—3161no—
1724C2×C4—3161no—
1725C2×C4—3161no—
1726C2×C4—3164no—
1727C2×C4—3161no—
1728C2×C4—3168no—
1729C2×C4—3168no—
1730C2×C4—3168no—
1731C2×C4—3164no—
1732C2×C4—3164no—
1733C2×C4—3168no—
1734C2×C4—3164no—
1735C2×C4—3161no—
1736C2×C4—3161no—
1737C2×C4—3162no—
1738C2×C4—791no—
1739C2×C4—791no—
1740C2×C4—791no—
1741C2×C4—791no—
1742C2×C4—791no—
1743C2×C4—791no—
1744C2×C4—794no—
1745C2×C4—794no—
1746C2×C4—794no—
1747C2×C4—1582no—
1748C2×C4—1582no—
1749C2×C4—1582no—
1750C2×C4—1582no—
1751C2×C4—1588no—
1752C2×C4—1582no—
1753C2×C4—1582no—
1754C2×C4—1582no—
1755C2×C4—1588no—
1756C2×C4—1582no—
1757C2×C4—1588no—
1758C2×C4—1582no—
1759C2×C4#1457920714yes—
1760C2×C4C24×D7914yes—
1761C2×C4C24×D7911yescharacteristic
1762C2×C4C24×D7911yescharacteristic
1763C2×C4C24×D7911yescharacteristic
1764C2×C4C24×D7914yes—
1765C2×C4C24×D7914yes—
1766C2×C4C24×D7914yes—
1767C2×C4C24×D7914yes—
1768C2×C4C24×D7911yescharacteristic
1769C2×C4C24×D7911yescharacteristic
1770C2×C4C24×D7911yescharacteristic
1771C22—21no—
1772C22—21no—
1773C22—24no—
1774C22—24no—
1775C22—24no—
1776C22—3164no—
1777C22—792no—
1778C22—6324no—
1779C22—6328no—
1780C22—1584no—
1781C22—1584no—
1782C22—1584no—
1783C22—1581no—
1784C22—1581no—
1785C22—1584no—
1786C22—1584no—
1787C22—1584no—
1788C22—1584no—
1789C22—1581no—
1790C22—1584no—
1791C22—1584no—
1792C22—1581no—
1793C22—1581no—
1794C22—12648no—
1795C22C2×#1457920712yes—
1796C22C25×D7911yescharacteristic
1797C4—24no—
1798C4—24no—
1799C4—24no—
1800C4—24no—
1801C4—21no—
1802C4—21no—
1803C4—21no—
1804C4—24no—
1805C4—1581no—
1806C4—1584no—
1807C4—1584no—
1808C4—1581no—
1809C4—1581no—
1810C4—1581no—
1811C4—1581no—
1812C4—1584no—
1813C4—1581no—
1814C4C2×#1457920712yes—
1815C4C2×#1457920712yes—
1816C4#1909940012yes—
1817C2—22no—
1818C2—44no—
1819C2—3161no—
1820C2—3164no—
1821C2—3164no—
1822C2—3164no—
1823C2—1582no—
1824C2C22×#1457920711yescharacteristic
1825C2#585×D7911yescharacteristic
1826C2C2×#1909940011yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3507C2
hypercenter#3507D79
hypocenterC79#62830
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3507

Complements

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

NH ≅ G/Ntype
1. #23777995C2semidirect
2. #23777957C2semidirect
3. #23777846C2semidirect
4. #23777828C2semidirect
5. #23777790C2semidirect
6. #23777775C2semidirect
7. #23777734C2semidirect
8. #23777595C2semidirect
9. #23777448C2semidirect
10. #23777434C2semidirect
11. #23777433C2semidirect
12. #23777407C2semidirect
13. #23777364C2semidirect
14. #23777360C2semidirect
15. #23777317C2semidirect
16. #23777254C2semidirect
17. #23777240C2semidirect
18. #23777189C2semidirect
19. #23777171C2semidirect
20. #23777162C2semidirect
21. #23777123C2semidirect
22. #23777078C2semidirect
23. #23777070C2semidirect
24. #23776697C2semidirect
25. #532×D79C2semidirect
26. C2×#19099100C2semidirect
27. C79×#3507C2semidirect
28. C2×#14579209C22semidirect
29. C2×#14579207C22semidirect
30. C2×#41×D79C22semidirect
31. #19099317C22semidirect
32. #19099309C22semidirect
33. #19099304C22semidirect
34. #19099303C22semidirect
35. #19099298C22semidirect
36. #19099286C22semidirect
37. #19099279C22semidirect
38. #19099278C22semidirect
39. #19099276C22semidirect
40. #19099273C22semidirect
41. #19099266C22semidirect
42. #19099266C22semidirect
43. #19099266C22semidirect
44. #19099266C22semidirect
45. #19099264C22semidirect
46. #19099262C22semidirect
47. #19099261C22semidirect
48. #19099259C22semidirect
49. #19099257C22semidirect
50. #19099252C22semidirect
51. #19099248C22semidirect
52. #19099238C22semidirect
53. #19099238C22semidirect
54. #19099237C22semidirect
55. #19099236C22semidirect
56. #19099235C22semidirect
57. #19099235C22semidirect
58. #19099235C22semidirect
59. #19099235C22semidirect
60. #19099235C22semidirect
61. Q8×D316C22semidirect
62. Q8×D316C22semidirect
63. #19099228C22semidirect
64. #19099225C22semidirect
65. #19099225C22semidirect
66. #19099225C22semidirect
67. #19099223C22semidirect
68. #19099223C22semidirect
69. #19099221C22semidirect
70. #19099218C22semidirect
71. #19099216C22semidirect
72. #19099216C22semidirect
73. #19099216C22semidirect
74. #19099211C22semidirect
75. #19099209C22semidirect
76. #19099208C22semidirect
77. #19099208C22semidirect
78. #19099206C22semidirect
79. #19099206C22semidirect
80. #19099206C22semidirect
81. #19099206C22semidirect
82. #19099205C22semidirect
83. #19099205C22semidirect
84. #19099205C22semidirect
85. #19099204C22semidirect
86. #19099204C22semidirect
87. #19099204C22semidirect
88. D4×D316C22semidirect
89. D4×D316C22semidirect
90. D4×D316C22semidirect
91. D4×D316C22semidirect
92. #19099198C22semidirect
93. #19099193C22semidirect
94. #19099186C22semidirect
95. #19099185C22semidirect
96. #19099182C22semidirect
97. #19099171C22semidirect
98. #19099169C22semidirect
99. #19099169C22semidirect
100. #19099168C22semidirect
101. #19099164C22semidirect
102. #19099164C22semidirect
103. #19099161C22semidirect
104. #19099154C22semidirect
105. #19099153C22semidirect
106. #19099153C22semidirect
107. #19099152C22semidirect
108. #19099152C22semidirect
109. #19099152C22semidirect
110. #19099149C22semidirect
111. #19099144C22semidirect
112. #19099144C22semidirect
113. #19099144C22semidirect
114. #19099143C22semidirect
115. #19099141C22semidirect
116. #19099138C22semidirect
117. #19099136C22semidirect
118. #19099132C22semidirect
119. #19099132C22semidirect
120. #19099131C22semidirect
121. #19099131C22semidirect
122. #19099124C22semidirect
123. #19099121C22semidirect
124. #19099118C22semidirect
125. #19099118C22semidirect
126. #19099114C22semidirect
127. #19099114C22semidirect
128. #19099114C22semidirect
129. #19099114C22semidirect
130. #19099113C22semidirect
131. #19099113C22semidirect
132. #19099113C22semidirect
133. #19099112C22semidirect
134. #19099111C22semidirect
135. #19099110C22semidirect
136. #19099110C22semidirect
137. #19099109C22semidirect
138. #19099108C22semidirect
139. #19099108C22semidirect
140. C4⋊Q8×D79C22semidirect
141. #127×D79C22semidirect
142. #19099100C22semidirect
143. #19099100C22semidirect
144. #19099100C22semidirect
145. #19099100C22semidirect
146. #19099100C22semidirect
147. #19099100C22semidirect
148. #19099100C22semidirect
149. #19099100C22semidirect
150. #19099100C22semidirect
151. #19099100C22semidirect
152. #19099100C22semidirect
153. #19099099C22semidirect
154. #19099099C22semidirect
155. #19099098C22semidirect
156. #19099098C22semidirect
157. #19099095C22semidirect
158. C2×#14579156C22semidirect
159. C2×#14579152C22semidirect
160. C2×#14579150C22semidirect
161. #124×D79C22semidirect
162. #124×D79C22semidirect
163. #19099076C22semidirect
164. #19099076C22semidirect
165. #19099076C22semidirect
166. #19099076C22semidirect
167. #19099075C22semidirect
168. #19099075C22semidirect
169. C2×#14579146C22semidirect
170. C2×#14579137C22semidirect
171. C22⋊Q8×D79C22semidirect
173. C2×#14579136C22semidirect
174. #121×D79C22semidirect
175. #121×D79C22semidirect
176. #121×D79C22semidirect
177. #19099045C22semidirect
178. #19099043C22semidirect
179. #19099037C22semidirect
180. #19099035C22semidirect
181. C4×#11929625C22semidirect
182. C4×#11929625C22semidirect
183. #19099031C22semidirect
184. C2×C4×D316C22semidirect
185. C2×C4×D316C22semidirect
186. C4×D4×D79C22semidirect
187. C4×D4×D79C22semidirect
188. C2×#14579118C22semidirect
189. C2×C42×D79C22semidirect
190. #559×C79C22semidirect
191. #557×C79C22semidirect
192. #556×C79C22semidirect
193. #556×C79C22semidirect
194. #554×C79C22semidirect
195. #552×C79C22semidirect
196. #539×C79C22semidirect
197. #536×C79C22semidirect
198. #533×C79C22semidirect
200. #529×C79C22semidirect
201. #520×C79C22semidirect
202. C2×C4×Q8×C79C22semidirect
929. #3507D79semidirect
941. C79#62830semidirect
950. #559C2×D79semidirect
951. #557C2×D79semidirect
953. #556C2×D79semidirect
954. #556C2×D79semidirect
959. #554C2×D79semidirect
971. #552C2×D79semidirect
1025. #539C2×D79semidirect
1039. #536C2×D79semidirect
1048. #533C2×D79semidirect
1082. #529C2×D79semidirect
1104. #520C2×D79semidirect
1110. C2×C4×Q8C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779952
#237779572
#237778462
#237778282
#237777902
#237777752
#237777342
#237775952
#237774482
#237774342
#237774332
#237774072
#237773642
#237773602
#237773172
#237772542
#237772402
#237771892
#237771712
#237771622
#237771232
#237770782
#237770702
#237766972
#532×D792
C2×#190991002
C79×#35072
#6283079