Finite Group Databasebeta

← #35197316

Subgroups — #35197316

Order 20224.

7390 conjugacy classes of subgroups.

The subgroup lattice has 1560 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777466C214yesmaximal, complemented
2#23777462C214yesmaximal, complemented
3#23777430C214yesmaximal, complemented
4#23777427C214yesmaximal, complemented
5#23777359C214yesmaximal, complemented
6#23777356C214yesmaximal, complemented
7#23777338C214yesmaximal, complemented
8#23777334C214yesmaximal, complemented
9#23777251C212yesmaximal, complemented
10#23777228C214yesmaximal, complemented
11#23777202C211yesmaximal, characteristic, complemented
12#23777163C211yesmaximal, characteristic, complemented
13#23777121C211yesmaximal, characteristic, complemented
14#23777119C211yesmaximal, characteristic, complemented
15#23777083C214yesmaximal, complemented
16#23777034C212yesmaximal, complemented
17#23776822C211yesmaximal, characteristic, complemented
18#23776811C214yesmaximal, complemented
19#23776785C212yesmaximal, complemented
20#538×D79C214yesmaximal, complemented
21C4×#14579207C212yesmaximal, complemented
22C2×#19099035C211yesmaximal, characteristic, complemented
23C79×#3460C211yesmaximal, characteristic, complemented
24C2×#14579207C2212yes—
25C22×D4×D79C2211yescharacteristic
26#19099299C2214yescomplemented
27#19099295C2214yescomplemented
28#19099287C2214yescomplemented
29#19099284C2214yescomplemented
30#19099282C2214yescomplemented
31#19099279C2214yescomplemented
32#19099277C2214yescomplemented
33#19099277C2214yescomplemented
34#19099274C2214yescomplemented
35#19099269C2214yescomplemented
36#19099269C2214yescomplemented
37#19099266C2214yescomplemented
38#19099265C2214yescomplemented
39#19099265C2214yescomplemented
40#19099263C2218yescomplemented
41#19099260C2214yescomplemented
42#19099260C2214yescomplemented
43#19099258C2218yescomplemented
44#19099257C2214yescomplemented
45#19099255C2214yescomplemented
46#19099252C2214yescomplemented
47#19099251C2214yescomplemented
48#19099247C2214yescomplemented
49#19099242C2218yescomplemented
50#19099242C2218yescomplemented
51#19099241C2218yescomplemented
52#19099240C2218yescomplemented
53#19099237C2218yescomplemented
54#19099236C2218yescomplemented
55#19099233C2214yescomplemented
56#19099228C2214yescomplemented
57#19099223C2214yescomplemented
58#19099220C2214yescomplemented
59#19099215C2214yescomplemented
60#19099213C2214yescomplemented
61#19099210C2214yescomplemented
62#19099210C2214yescomplemented
63#19099210C2214yescomplemented
64#19099210C2214yescomplemented
65#19099208C2218yescomplemented
66#19099206C2214yescomplemented
67#19099206C2214yescomplemented
68#19099205C2218yescomplemented
69#19099204C2214yescomplemented
70#19099202C2218yescomplemented
71#19099201C2218yescomplemented
72#19099201C2214yescomplemented
73#19099198C2214yescomplemented
74#19099198C2214yescomplemented
75#19099197C2214yescomplemented
76#19099197C2214yescomplemented
77#19099197C2214yescomplemented
78#19099194C2211yescharacteristic, complemented
79#19099188C2214yescomplemented
80#19099185C2212yescomplemented
81#19099185C2212yescomplemented
82#19099178C2214yescomplemented
83#19099178C2212yescomplemented
84#19099178C2212yescomplemented
85#19099171C2212yescomplemented
86#19099171C2212yescomplemented
87#19099164C2214yescomplemented
88#19099164C2212yescomplemented
89#19099164C2212yescomplemented
90#19099156C2218yescomplemented
91#19099155C2214yescomplemented
92#19099155C2214yescomplemented
93#19099154C2218yescomplemented
94#19099153C2214yescomplemented
95#19099152C2218yescomplemented
96#19099151C2214yescomplemented
97#19099150C2214yescomplemented
98#19099149C2218yescomplemented
99#19099148C2218yescomplemented
100#19099147C2218yescomplemented
101#19099147C2218yescomplemented
102#19099146C2214yescomplemented
103#19099146C2214yescomplemented
104#19099145C2218yescomplemented
105#19099145C2218yescomplemented
106#19099144C2211yescharacteristic, complemented
107#19099130C2212yescomplemented
108#19099123C2218yescomplemented
109#19099121C2214yescomplemented
110#19099116C2212yescomplemented
111#19099110C2214yescomplemented
112#19099109C2212yescomplemented
113#19099099C2214yescomplemented
114#19099097C2214yescomplemented
115#19099097C2214yescomplemented
116#19099096C2218yescomplemented
117#19099095C2214yescomplemented
118#19099094C2214yescomplemented
119#19099092C2218yescomplemented
120#19099091C2214yescomplemented
121#19099091C2214yescomplemented
122#126×D79C2218yescomplemented
123#124×D79C2218yescomplemented
124#19099075C2212yescomplemented
125#19099074C2214yescomplemented
126#19099073C2218yescomplemented
127#19099071C2218yescomplemented
128#19099070C2212yescomplemented
129#19099069C2218yescomplemented
130#123×D79C2218yescomplemented
131C22⋊Q8×D79C2214yescomplemented
132#121×D79C2214yescomplemented
133#121×D79C2218yescomplemented
134#120×D79C2218yescomplemented
135#19099046C2212yescomplemented
136#19099045C2214yescomplemented
137#19099043C2212yescomplemented
138#19099043C2214yescomplemented
139#19099037C2212yes—
140#19099037C2214yescomplemented
141#19099035C2214yescomplemented
142#19099035C2214yescomplemented
143#19099035C2214yescomplemented
144#19099035C2214yescomplemented
145#19099035C2218yescomplemented
146#19099035C2214yescomplemented
147C4×#11929625C2214yescomplemented
148C4×#11929624C2212yescomplemented
149C4×#11929624C2214yescomplemented
150C2×C4×D316C2211yescharacteristic
151C2×C4×D316C2214yescomplemented
152C2×D4×Dic79C2211yescharacteristic, complemented
153C2×#14579123C2211yescharacteristic
154C2×C4×C22⋊D79C2212yescomplemented
155C2×(C22⋊D79)⋊C4C2212yescomplemented
156C4×D4×D79C2218yescomplemented
157C4×D4×D79C2214yescomplemented
158C2×#14579119C2211yescharacteristic, complemented
159C2×#14579118C2211yescharacteristic, complemented
160C22×(C2×D79)⋊C4C2212yescomplemented
161C2×C22⋊C4×D79C2212yescomplemented
162#544×C79C2211yescharacteristic, complemented
163#542×C79C2214yescomplemented
164#540×C79C2214yescomplemented
165#538×C79C2214yescomplemented
166#537×C79C2211yescharacteristic, complemented
167#535×C79C2212yescomplemented
168#532×C79C2214yescomplemented
169#529×C79C2214yescomplemented
170#525×C79C2214yescomplemented
171C4×#41×C79C2212yescomplemented
172C2×C4×D4×C79C2211yescharacteristic, complemented
173C24×D79C2312yes—
174#14579207—216no—
175C2×#11929625C2314yes—
176C2×#11929624C2312yes—
177C2×#11929624C2314yes—
178C2×#11929624C2314yescomplemented
179C2×#11929623C2318yescomplemented
180C2×Q8×D79C2314yescomplemented
181C22×D316C2314yes—
182C22×D316C2311yescharacteristic
183C22×C22⋊D79C2312yes—
184C2×D4×D79—28no—
185C2×D4×D79C2314yes—
186C2×D4×D79C2318yes—
187C2×D4×D79C2314yes—
188C2×D4×D79C2314yes—
189C2×D4×D79C2318yes—
190C2×D4×D79C2318yes—
191C2×D4×D79C2314yescomplemented
192C23×Dic79C2312yes—
193C22×C4×D79C2311yescharacteristic
194C22×C4×D79C2312yes—
195C22×C4×D79C2312yes—
196C22×C4×D79C2318yescomplemented
197#14579160C2312yescomplemented
198#14579160C2312yescomplemented
199#14579160C2314yescomplemented
200#14579159C2312yescomplemented
201#14579157C2314yes—
202#14579157C2312yescomplemented
203#14579156C2318yes—
204#14579156C2314yes—
205#14579156C2314yes—
206#14579156C2318yes—
207#14579156C2318yescomplemented
208#14579155C2314yes—
209#14579155C2314yes—
210#14579155C2314yescomplemented
211#14579155C2314yescomplemented
212#14579154C2314yescomplemented
213#14579154C2318yescomplemented
214#14579154C2318yescomplemented
215#14579154C2318yescomplemented
216#14579154C2318yescomplemented
217#14579154C2314yescomplemented
218#14579153C2314yescomplemented
219#14579153C2314yescomplemented
220#14579152C2314yescomplemented
221#14579152C2314yescomplemented
222#14579152C2312yescomplemented
223#14579152C2312yescomplemented
224#14579152C2314yescomplemented
225#14579151C2314yescomplemented
226#14579151C2314yescomplemented
227#14579150C2318yes—
228#14579150C2314yescomplemented
229#14579150C2312yescomplemented
230#14579149C2314yes—
231#14579149C2314yes—
232#14579148C2314yes—
233#14579148C2314yescomplemented
234#14579148C2318yescomplemented
235#14579148C2312yescomplemented
236#14579147C2314yes—
237#14579147C2314yes—
238#14579147C2318yes—
239#14579147C2318yescomplemented
240#14579147C2318yescomplemented
241#14579146C2314yes—
242#14579146C2314yes—
243#14579146C2318yes—
244#14579146C2318yescomplemented
245#14579145C2318yes—
246#14579145C2314yes—
247#14579145C2318yescomplemented
248#14579144C2314yes—
249#14579144C2314yes—
250#14579144C2314yescomplemented
251#14579144C2314yescomplemented
252#14579144C2318yescomplemented
253#14579143C2318yes—
254#14579143C2318yes—
255#14579143C2314yescomplemented
256#14579143C2318yescomplemented
257#14579143C2318yescomplemented
258#14579143C2314yescomplemented
259#14579143C2318yescomplemented
260#14579142C2314yes—
261#14579142C2318yescomplemented
262#14579142C2318yescomplemented
263#14579141C2312yes—
264#14579141C2312yes—
265#14579141C2314yescomplemented
266#14579141C2314yescomplemented
267#14579141C2318yescomplemented
268#14579140C2314yes—
269#14579140C2314yescomplemented
270#14579140C2314yescomplemented
271#14579140C2314yescomplemented
272#14579139C2318yescomplemented
273#14579139C2318yescomplemented
274#14579139C2314yescomplemented
275#14579139C2314yescomplemented
276#14579139C2318yescomplemented
277#14579138C2314yes—
278#14579138C2314yes—
279#14579138C2318yescomplemented
280#14579137C2312yes—
281#14579137C2312yes—
282#14579137C2314yescomplemented
283#14579137C2318yescomplemented
284#14579136C2318yes—
285#14579136C2312yes—
286#14579136C2312yes—
287#14579136C2314yescomplemented
288#14579136C2314yescomplemented
289#14579135C2314yes—
290#14579135C2314yes—
291#14579135C2314yes—
292#14579135C2314yescomplemented
293#14579134C2314yes—
294#14579134C2314yes—
295#14579134C2318yes—
296#14579134C2318yes—
297#14579134C2318yescomplemented
298#14579134C2318yescomplemented
299#14579133C2318yes—
300#14579133C2314yes—
301#14579133C2314yes—
302#14579133C2318yescomplemented
303#14579133C2318yescomplemented
304#14579132C2318yes—
305#14579132C2318yes—
306#14579132C2312yes—
307#14579132C2312yes—
308#14579132C2314yes—
309#14579132C2314yes—
310#14579132C2314yescomplemented
311#14579132C2318yescomplemented
312#14579131C2314yes—
313#14579131C2318yes—
314#14579131C2318yes—
315#14579131C2318yescomplemented
316#14579130C2318yes—
317#14579129C2318yes—
318#14579129C2318yes—
319#14579129C2318yes—
320#14579129C2314yes—
321#14579129C2318yes—
322#14579129C2318yescomplemented
323Q8×Dic79C2314yescomplemented
324Q8×Dic79C2314yescomplemented
325C4×Dic158C2312yescomplemented
326C4×Dic158C2312yescomplemented
327C4×Dic158C2314yescomplemented
328C4×Dic158C2314yescomplemented
329C4×Dic158C2314yescomplemented
330#14579126C2314yescomplemented
331C4×D316C2314yes—
332C4×D316C2314yes—
333C4×D316C2314yes—
334C4×D316C2314yes—
335C4×D316C2314yes—
336C4×D316C2314yes—
337C4×D316C2318yescomplemented
338C4×D316C2312yescomplemented
339C4×D316C2312yescomplemented
340C4×D316C2318yescomplemented
341C4×D316C2314yescomplemented
342D4×Dic79C2318yes—
343D4×Dic79C2314yes—
344D4×Dic79C2314yes—
345D4×Dic79C2318yescomplemented
346D4×Dic79C2314yescomplemented
347D4×Dic79C2314yescomplemented
348#14579123C2314yes—
349#14579123C2314yes—
350#14579123C2314yes—
351#14579123C2314yes—
352#14579123C2318yescomplemented
353#14579123C2318yescomplemented
354#14579123C2314yescomplemented
355C4×C22⋊D79C2314yes—
356C4×C22⋊D79C2314yes—
357C4×C22⋊D79C2314yes—
358C4×C22⋊D79C2314yes—
359C4×C22⋊D79C2314yes—
360C4×C22⋊D79C2314yes—
361C4×C22⋊D79C2314yes—
362C4×C22⋊D79C2314yes—
363C4×C22⋊D79C2318yescomplemented
364C4×C22⋊D79C2314yescomplemented
365C4×C22⋊D79C2318yescomplemented
366C4×C22⋊D79C2318yescomplemented
367C4×C22⋊D79C2314yescomplemented
368(C22⋊D79)⋊C4C2318yes—
369(C22⋊D79)⋊C4C2318yes—
370(C22⋊D79)⋊C4C2318yes—
371(C22⋊D79)⋊C4C2318yescomplemented
372(C22⋊D79)⋊C4C2318yescomplemented
373(C22⋊D79)⋊C4C2318yescomplemented
374#14579120C2312yes—
375#14579120C2314yescomplemented
376#14579120C2314yescomplemented
377#14579119C2314yes—
378#14579119C2314yes—
379#14579119C2318yescomplemented
380#14579119C2318yescomplemented
381#14579119C2314yescomplemented
382#14579118C2312yes—
383#14579118C2312yes—
384#14579118C2312yes—
385#14579118C2312yes—
386#14579118C2314yescomplemented
387#14579118C2318yescomplemented
388#14579117C2318yescomplemented
389#14579117C2318yescomplemented
390C2×C4⋊Dic79C2311yescharacteristic
391C2×C4⋊Dic79C2314yescomplemented
392C2×Dic79⋊C4C2311yescharacteristic
393C2×Dic79⋊C4C2311yescharacteristic
394C4⋊C4×D79C2318yescomplemented
395C4⋊C4×D79C2314yescomplemented
396C4⋊C4×D79C2314yescomplemented
397C4⋊C4×D79C2314yescomplemented
398C4⋊C4×D79C2318yescomplemented
399C2×C22⋊Dic79C2312yes—
400C2×(C2×D79)⋊C4C2311yescharacteristic
401C2×(C2×D79)⋊C4C2311yescharacteristic
402C2×(C2×D79)⋊C4C2312yes—
403C2×(C2×D79)⋊C4C2312yes—
404C2×(C2×D79)⋊C4C2318yes—
405C2×(C2×D79)⋊C4C2318yes—
406C2×(C2×D79)⋊C4C2312yes—
407C2×(C2×D79)⋊C4C2318yescomplemented
408C22⋊C4×D79C2318yes—
409C22⋊C4×D79C2318yes—
410C22⋊C4×D79C2318yes—
411C22⋊C4×D79C2318yes—
412C22⋊C4×D79C2318yes—
413C22⋊C4×D79C2318yescomplemented
414C22⋊C4×D79C2318yescomplemented
415C22⋊C4×D79C2318yescomplemented
416C2×C4×Dic79C2311yescharacteristic
417C2×C4×Dic79C2312yes—
418C42×D79C2318yescomplemented
419C42×D79C2314yescomplemented
420C2×#41×C79C2312yes—
421C2×#41×C79C2314yescomplemented
422C22×D4×C79C2311yescharacteristic
423C23×C4×C79C2312yes—
424C4⋊Q8×C79C2314yescomplemented
425#127×C79C2314yes—
426#126×C79C2318yescomplemented
427#125×C79C2314yescomplemented
428#124×C79C2314yes—
429#124×C79C2318yescomplemented
430#123×C79C2318yescomplemented
431#123×C79C2318yescomplemented
432C22⋊Q8×C79C2314yes—
433C22⋊Q8×C79C2314yescomplemented
434C22⋊Q8×C79C2314yescomplemented
435#121×C79C2314yes—
436#121×C79C2314yes—
437#121×C79C2314yes—
438#121×C79C2318yescomplemented
439#121×C79C2314yescomplemented
440#121×C79C2314yescomplemented
441#120×C79C2318yes—
442C4×Q8×C79C2312yescomplemented
443C4×Q8×C79C2312yescomplemented
444C4×D4×C79C2314yes—
445C4×D4×C79C2314yes—
446C4×D4×C79C2314yes—
447C4×D4×C79C2314yes—
448C4×D4×C79C2312yescomplemented
449C4×D4×C79C2312yescomplemented
450C4×D4×C79C2318yescomplemented
451#117×C79C2312yes—
452#117×C79C2314yescomplemented
453#117×C79C2314yescomplemented
454C2×C4⋊C4×C79C2311yescharacteristic
455C2×C22⋊C4×C79C2312yes—
456C2×C42×C79C2311yescharacteristic
457C2×C42×C79C2314yescomplemented
458C23×D79—28no—
459C23×D79—82no—
460C23×D79—82no—
461C23×D79C2411yescharacteristic
462C23×D79C2418yes—
463C23×D79C2418yes—
464C23×D79C2412yes—
465#11929625—216no—
466#11929624—216no—
467#11929624—28no—
468#11929624—84no—
469#11929623—88no—
470C2×Dic158C2412yes—
471C2×Dic158C2414yes—
472C2×Dic158C2414yes—
473C2×Dic158C2414yes—
474Q8×D79—84no—
475C2×D316—216no—
476C2×D316#4118yescomplemented
477C2×D316C2412yes—
478C2×D316C2418yes—
479C2×D316C2414yes—
480C2×D316C2414yes—
481C2×D316C2414yes—
482C2×D316C2414yes—
483C2×C22⋊D79—28no—
484C2×C22⋊D79C2414yes—
485C2×C22⋊D79C2418yes—
486C2×C22⋊D79C2414yes—
487C2×C22⋊D79C2414yes—
488C2×C22⋊D79C2414yes—
489C2×C22⋊D79C2418yes—
490C2×C22⋊D79C2418yes—
491C2×C22⋊D79C2414yes—
492C2×C22⋊D79C2414yes—
493C2×C22⋊D79C2414yes—
494D4×D79—216no—
495D4×D79—216no—
496D4×D79—216no—
497D4×D79—232no—
498D4×D79—88no—
499D4×D79—88no—
500D4×D79—84no—
501C22×Dic79—82no—
502C22×Dic79C2411yescharacteristic
503C22×Dic79C2418yes—
504C22×Dic79C2418yes—
505C22×Dic79C2411yescharacteristic
506C22×Dic79C2412yes—
507C22×Dic79C2411yescharacteristic
508C2×C4×D79—24no—
509C2×C4×D79—82no—
510C2×C4×D79—82no—
511C2×C4×D79—88no—
512C2×C4×D79C2418yes—
513C2×C4×D79C2414yes—
514C2×C4×D79C2412yes—
515C2×C4×D79C2412yes—
516C2×C4×D79C2418yes—
517C2×C4×D79C2414yes—
518C2×C4×D79C2418yes—
519C2×C4×D79C2414yes—
520C2×C4×D79C2418yes—
521C2×C4×D79C2414yes—
522C2×C4×D79C2418yes—
523C2×C4×D79C2414yes—
524C4⋊Dic79C2414yes—
525C4⋊Dic79C2414yes—
526C4⋊Dic79C2418yes—
527C4⋊Dic79C2414yes—
528C4⋊Dic79C2414yes—
529C4⋊Dic79C2412yes—
530C4⋊Dic79C2414yes—
531C4⋊Dic79C2412yes—
532C4⋊Dic79C2414yes—
533C4⋊Dic79C2414yes—
534Dic79⋊C4C2418yes—
535Dic79⋊C4C2414yes—
536Dic79⋊C4C2414yes—
537Dic79⋊C4C2414yes—
538Dic79⋊C4C2414yes—
539Dic79⋊C4C2418yes—
540Dic79⋊C4C2412yes—
541Dic79⋊C4C2412yes—
542Dic79⋊C4C2411yescharacteristic
543Dic79⋊C4C2411yescharacteristic
544Dic79⋊C4C2411yescharacteristic
545Dic79⋊C4C2411yescharacteristic
546Dic79⋊C4C2414yes—
547Dic79⋊C4C2414yes—
548Dic79⋊C4C2414yes—
549Dic79⋊C4C2414yes—
550Dic79⋊C4C2414yes—
551Dic79⋊C4C2414yes—
552C22⋊Dic79C2414yes—
553C22⋊Dic79C2414yes—
554C22⋊Dic79C2414yes—
555C22⋊Dic79C2418yes—
556C22⋊Dic79C2418yes—
557C22⋊Dic79C2418yes—
558C22⋊Dic79C2414yes—
559C22⋊Dic79C2414yes—
560C22⋊Dic79C2414yes—
561C22⋊Dic79C2414yes—
562(C2×D79)⋊C4C2412yes—
563(C2×D79)⋊C4C2412yes—
564(C2×D79)⋊C4C2418yes—
565(C2×D79)⋊C4C2414yes—
566(C2×D79)⋊C4C2414yes—
567(C2×D79)⋊C4C2414yes—
568(C2×D79)⋊C4C2414yes—
569(C2×D79)⋊C4C2418yes—
570(C2×D79)⋊C4C2418yes—
571(C2×D79)⋊C4C2414yes—
572(C2×D79)⋊C4C2414yes—
573(C2×D79)⋊C4C2414yes—
574(C2×D79)⋊C4C2418yes—
575(C2×D79)⋊C4C2418yes—
576(C2×D79)⋊C4C2412yes—
577(C2×D79)⋊C4C2412yes—
578(C2×D79)⋊C4C2414yes—
579(C2×D79)⋊C4C2418yes—
580(C2×D79)⋊C4C2414yes—
581(C2×D79)⋊C4C2414yes—
582(C2×D79)⋊C4C2414yes—
583(C2×D79)⋊C4C2414yes—
584C4×Dic79C2414yes—
585C4×Dic79C2418yes—
586C4×Dic79C2418yes—
587C4×Dic79C2414yes—
588C4×Dic79C2414yes—
589C4×Dic79C2414yes—
590C4×Dic79C2412yes—
591C4×Dic79C2412yes—
592C4×Dic79C2414yes—
593C24×C79C2412yes—
594#41×C79—28no—
595#41×C79—84no—
596C2×Q8×C79C2412yes—
597C2×Q8×C79C2414yes—
598C2×D4×C79—24no—
599C2×D4×C79C2414yes—
600C2×D4×C79C2414yes—
601C2×D4×C79C2412yes—
602C2×D4×C79C2418yes—
603C2×D4×C79C2418yes—
604C2×D4×C79C2414yes—
605C22×C4×C79—82no—
606C22×C4×C79C2414yes—
607C22×C4×C79C2414yes—
608C22×C4×C79C2411yescharacteristic
609C22×C4×C79C2411yescharacteristic
610C22×C4×C79C2414yes—
611C22×C4×C79C2414yes—
612C22×C4×C79C2412yes—
613C22×C4×C79C2414yes—
614C22×C4×C79C2411yescharacteristic
615C4⋊C4×C79C2414yes—
616C4⋊C4×C79C2412yes—
617C4⋊C4×C79C2412yes—
618C4⋊C4×C79C2414yes—
619C4⋊C4×C79C2414yes—
620C4⋊C4×C79C2414yes—
621C4⋊C4×C79C2414yes—
622C4⋊C4×C79C2418yes—
623C22⋊C4×C79C2418yes—
624C22⋊C4×C79C2414yes—
625C22⋊C4×C79C2414yes—
626C22⋊C4×C79C2414yes—
627C22⋊C4×C79C2418yes—
628C22⋊C4×C79C2418yes—
629C22⋊C4×C79C2418yes—
630C42×C79C2412yes—
631C42×C79C2412yes—
632C42×C79C2414yes—
633C42×C79C2414yes—
634C42×C79C2414yes—
635C23×C79—24no—
636C23×C79—42no—
637C23×C79—42no—
638C23×C79C2514yes—
639C23×C79C2514yes—
640C23×C79C2511yescharacteristic
641C22×D79—22no—
642C22×D79—216no—
643C22×D79—216no—
644C22×D79—42no—
645C22×D79—42no—
646C22×D79—41no—
647C22×D79—41no—
648C22×D79—48no—
649C22×D79—48no—
650C22×D79—48no—
651C22×D79—48no—
652C22×D79—816no—
653C22×D79C2×#4118yes—
654C22×D79C2512yes—
655C22×D79C2514yes—
656C22×D79C2514yes—
657Q8×C79—24no—
658Q8×C79—44no—
659D4×C79—28no—
660D4×C79—28no—
661D4×C79—24no—
662D4×C79—48no—
663D4×C79—44no—
664D4×C79—48no—
665C2×C4×C79—28no—
666C2×C4×C79—41no—
667C2×C4×C79—44no—
668C2×C4×C79—42no—
669C2×C4×C79—44no—
670C2×C4×C79—41no—
671C2×C4×C79—44no—
672C2×C4×C79—44no—
673C2×C4×C79C2×#4114yes—
674C2×C4×C79C2511yescharacteristic
675C2×C4×C79C2514yes—
676C2×C4×C79C2514yes—
677C2×C4×C79C2514yes—
678C2×C4×C79C2512yes—
679C2×C4×C79C2511yescharacteristic
680C2×C4×C79C2514yes—
681C2×C4×C79C2512yes—
682C22⋊D79—28no—
683C22⋊D79—28no—
684C22⋊D79—28no—
685C22⋊D79—216no—
686C22⋊D79—44no—
687C22⋊D79—44no—
688C22⋊D79—44no—
689C22⋊D79—48no—
690C22⋊D79—48no—
691C22⋊D79—44no—
692C2×Dic79—22no—
693C2×Dic79—41no—
694C2×Dic79—42no—
695C2×Dic79—48no—
696C2×Dic79—41no—
697C2×Dic79—48no—
698C2×Dic79C2514yes—
699C2×Dic79C2514yes—
700C2×Dic79C2514yes—
701C2×Dic79C2511yescharacteristic
702C2×Dic79C2511yescharacteristic
703C2×Dic79C2512yes—
704C2×Dic79C2511yescharacteristic
705C2×Dic79C2514yes—
706C2×Dic79C2511yescharacteristic
707D316—216no—
708D316—24no—
709D316—44no—
710D316—44no—
711D316—44no—
712D316C2×#41116yes—
713C4×D79—216no—
714C4×D79—24no—
715C4×D79—24no—
716C4×D79—28no—
717C4×D79—44no—
718C4×D79—48no—
719C4×D79—44no—
720C4×D79—48no—
721C4×D79—44no—
722C4×D79—48no—
723C4×D79—48no—
724C4×D79—44no—
725Dic158—24no—
726Dic158—44no—
727Dic158—44no—
728Dic158—44no—
729C22×C79—21no—
730C22×C79—21no—
731C22×C79—24no—
732C22×C79—24no—
733C22×C79—24no—
734C22×C79—24no—
735C22×C79—24no—
736C22×C79—24no—
737C22×C79—48no—
738C22×C79C22×#4112yes—
739C22×C79C2611yescharacteristic
740C2×D79—24no—
741C2×D79—24no—
742C2×D79—24no—
743C2×D79—22no—
744C2×D79—24no—
745C2×D79—24no—
746C2×D79—22no—
747C2×D79—22no—
748C2×D79—48no—
749C2×D79—44no—
750C2×D79—816no—
751C2×D79—816no—
752C2×D79C22×#4118yes—
753C4×C79—24no—
754C4×C79—21no—
755C4×C79—21no—
756C4×C79—24no—
757C4×C79—22no—
758C4×C79—24no—
759C4×C79—24no—
760C4×C79C22×#4114yes—
761Dic79—21no—
762Dic79—21no—
763Dic79—24no—
764Dic79—21no—
765Dic79—24no—
766Dic79—24no—
767Dic79—22no—
768Dic79—21no—
769Dic79—24no—
770#62846—791nomaximal, Sylow
771C2×C79—22no—
772C2×C79—44no—
773C2×C79—44no—
774C2×C79C23×#4111yescharacteristic
775C2×C79H(7,𝔽2)11yescharacteristic
776C2×C79H(7,𝔽2)11yescharacteristic
777D79—28no—
778D79—42no—
779D79—44no—
780#3521—794no—
781#3521—794no—
782#3519—794no—
783#3519—794no—
784#3514—794no—
785#3514—794no—
786#3513—794no—
787#3513—794no—
788#3506—792no—
789#3505—794no—
790#3501—791no—
791#3496—791no—
792#3493—791no—
793#3493—791no—
794#3490—794no—
795#3484—792no—
796#3460—791no—
797#3460D7911yescharacteristic, complemented
798#3459—794no—
799#3455—792no—
800C2×#538—794no—
801C4×H(5,𝔽2)—792no—
802C2×#518—791no—
803C79#6284611yescharacteristic, complemented, Sylow
804C2×H(5,𝔽2)—792no—
805C23×D4—791no—
806#559—794no—
807#559—794no—
808#556—794no—
809#556—794no—
810#556—794no—
811#555—794no—
812#555—794no—
813#555—794no—
814#554—794no—
815#554—794no—
816#554—794no—
817#553—794no—
818#553—798no—
819#553—794no—
820#553—794no—
821#553—794no—
822#553—794no—
823#553—798no—
824#553—794no—
825#552—794no—
826#552—794no—
827#552—794no—
828#552—794no—
829#551—798no—
830#551—798no—
831#551—798no—
832#551—798no—
833#551—798no—
834#551—798no—
835#550—794no—
836D4×Q8—794no—
837#548—794no—
838#548—794no—
839#547—794no—
840#547—794no—
841#546—798no—
842#546—794no—
843#546—794no—
844#546—794no—
845#546—798no—
846#546—794no—
847#546—794no—
848#546—794no—
849#546—798no—
850#546—794no—
851#546—794no—
852#546—798no—
853D42—794no—
854D42—794no—
855D42—794no—
856D42—794no—
857D42—794no—
858#544—791no—
859#544C2×D7911yescharacteristic, complemented
860#543—794no—
861#542—792no—
862#542—792no—
863#542—794no—
864#542—792no—
865#542—792no—
866#542C2×D7914yescomplemented
867#541—792no—
868#541—792no—
869#540—794no—
870#540—792no—
871#540—792no—
872#540C2×D7914yescomplemented
873#539—798no—
874#539—798no—
875#539—794no—
876#539—794no—
877#538—798no—
878#538—798no—
879#538—798no—
880#538—798no—
881#538—794no—
882#538—794no—
883#538—798no—
884#538—798no—
885#538—798no—
886#538—794no—
887#538—794no—
888#538—794no—
889#538C2×D7914yescomplemented
890#537—791no—
891#537C2×D7911yescharacteristic, complemented
892#535—792no—
893#535C2×D7912yescomplemented
894#534—794no—
895#534—798no—
896#533—792no—
897#532—792no—
898#532—794no—
899#532C2×D7914yescomplemented
900#529—798no—
901#529—798no—
902#529—794no—
903#529—794no—
904#529—794no—
905#529—794no—
906#529—794no—
907#529—794no—
908#529—794no—
909#529C2×D7914yescomplemented
910C2×#126—798no—
911C2×#124—798no—
912#525—792no—
913#525—794no—
914#525—798no—
915#525—798no—
916#525—798no—
917#525—792no—
918#525C2×D7914yescomplemented
919C2×#123—798no—
920C2×C22⋊Q8—794no—
921C2×#121—794no—
922C2×#121—798no—
923C2×#120—798no—
924#520—792no—
925#520—794no—
926#520—792no—
927#520—794no—
928#518—794no—
929#518—794no—
930#518—794no—
931#518—794no—
932#518—798no—
933#518—794no—
934#518—792no—
935#518—794no—
936C4×#41—794no—
937C4×#41—792no—
938C4×#41—794no—
939C4×#41C2×D7912yescomplemented
940C2×C4×D4—791no—
941C2×C4×D4—792no—
942C2×C4×D4—798no—
943C2×C4×D4—794no—
944C2×C4×D4—791no—
945C2×C4×D4—792no—
946C2×C4×D4—791no—
947C2×C4×D4—794no—
948C2×C4×D4C2×D7911yescharacteristic, complemented
949C2×#117—791no—
950C2×#117—791no—
951C22×C22⋊C4—792no—
952C22×C22⋊C4—792no—
953C25—792no—
954H(5,𝔽2)—15816no—
955C2×#41—794no—
956C2×#41—798no—
957C2×#41—794no—
958C2×#41—792no—
959C2×#41—794no—
960C2×#41C22×D7912yes—
961C2×#41C22×D7914yescomplemented
962C22×Q8—794no—
963C22×D4—792no—
964C22×D4—798no—
965C22×D4—798no—
966C22×D4—794no—
967C22×D4—798no—
968C22×D4—794no—
969C22×D4—794no—
970C22×D4—794no—
971C22×D4—791no—
972C22×D4—794no—
973C22×D4—1588no—
974C22×D4C22×D7911yescharacteristic
975C23×C4—792no—
976C23×C4—792no—
977C23×C4—792no—
978C23×C4—798no—
979C23×C4—791no—
980C23×C4C22×D7912yes—
981C4⋊Q8—792no—
982C4⋊Q8—794no—
983C4⋊Q8—792no—
984C4⋊Q8—792no—
985C4⋊Q8C22×D7914yescomplemented
986#127—794no—
987#127—792no—
988#127C22×D7914yes—
989#126—794no—
990#126—798no—
991#126—798no—
992#126—798no—
993#126—794no—
994#126—798no—
995#126—798no—
996#126—798no—
997#126—794no—
998#126—798no—
999#126—794no—
1000#126—794no—
1001#126—794no—
1002#126—794no—
1003#126—794no—
1004#126C22×D7918yescomplemented
1005#125—794no—
1006#125—794no—
1007#125—794no—
1008#125—794no—
1009#125—794no—
1010#125—792no—
1011#125—792no—
1012#125—794no—
1013#125—794no—
1014#125C22×D7914yescomplemented
1015#124—798no—
1016#124—794no—
1017#124—792no—
1018#124—798no—
1019#124—794no—
1020#124—794no—
1021#124—792no—
1022#124—794no—
1023#124—798no—
1024#124—798no—
1025#124—798no—
1026#124—794no—
1027#124—794no—
1028#124—794no—
1029#124C22×D7914yes—
1030#124C22×D7918yescomplemented
1031#123—798no—
1032#123—794no—
1033#123—798no—
1034#123—794no—
1035#123—794no—
1036#123—798no—
1037#123—794no—
1038#123—794no—
1039#123—794no—
1040#123—798no—
1041#123—798no—
1042#123—794no—
1043#123—798no—
1044#123—798no—
1045#123—798no—
1046#123—794no—
1047#123—794no—
1048#123—798no—
1049#123—798no—
1050#123—798no—
1051#123—798no—
1052#123—794no—
1053#123C22×D7918yescomplemented
1054#123C22×D7918yescomplemented
1055C22⋊Q8—794no—
1056C22⋊Q8—792no—
1057C22⋊Q8—792no—
1058C22⋊Q8—798no—
1059C22⋊Q8—794no—
1060C22⋊Q8—794no—
1061C22⋊Q8—794no—
1062C22⋊Q8—794no—
1063C22⋊Q8—794no—
1064C22⋊Q8—798no—
1065C22⋊Q8—794no—
1066C22⋊Q8—798no—
1067C22⋊Q8—798no—
1068C22⋊Q8—792no—
1069C22⋊Q8—792no—
1070C22⋊Q8—794no—
1071C22⋊Q8—798no—
1072C22⋊Q8—794no—
1073C22⋊Q8—794no—
1074C22⋊Q8—794no—
1075C22⋊Q8—798no—
1076C22⋊Q8C22×D7914yes—
1077C22⋊Q8C22×D7914yescomplemented
1078C22⋊Q8C22×D7914yescomplemented
1079#121—794no—
1080#121—794no—
1081#121—798no—
1082#121—798no—
1083#121—798no—
1084#121—794no—
1085#121—798no—
1086#121—798no—
1087#121—792no—
1088#121—792no—
1089#121—798no—
1090#121—794no—
1091#121—794no—
1092#121—794no—
1093#121—794no—
1094#121—794no—
1095#121—794no—
1096#121—794no—
1097#121—798no—
1098#121—792no—
1099#121—792no—
1100#121—794no—
1101#121—794no—
1102#121—798no—
1103#121—798no—
1104#121—798no—
1105#121—798no—
1106#121—794no—
1107#121C22×D7914yes—
1108#121C22×D7914yes—
1109#121C22×D7914yes—
1110#121C22×D7918yescomplemented
1111#121C22×D7914yescomplemented
1112#121C22×D7914yescomplemented
1113#120—798no—
1114#120—794no—
1115#120—798no—
1116#120—798no—
1117#120—798no—
1118#120—798no—
1119#120—798no—
1120#120—794no—
1121#120—798no—
1122#120—798no—
1123#120—798no—
1124#120C22×D7918yes—
1125C4×Q8—794no—
1126C4×Q8—794no—
1127C4×Q8—794no—
1128C4×Q8—792no—
1129C4×Q8—792no—
1130C4×Q8—794no—
1131C4×Q8—794no—
1132C4×Q8—794no—
1133C4×Q8C22×D7912yescomplemented
1134C4×Q8C22×D7912yescomplemented
1135C4×D4—794no—
1136C4×D4—794no—
1137C4×D4—798no—
1138C4×D4—794no—
1139C4×D4—798no—
1140C4×D4—794no—
1141C4×D4—794no—
1142C4×D4—798no—
1143C4×D4—794no—
1144C4×D4—794no—
1145C4×D4—794no—
1146C4×D4—794no—
1147C4×D4—794no—
1148C4×D4—798no—
1149C4×D4—794no—
1150C4×D4—794no—
1151C4×D4—798no—
1152C4×D4—794no—
1153C4×D4—794no—
1154C4×D4—794no—
1155C4×D4—794no—
1156C4×D4—798no—
1157C4×D4—794no—
1158C4×D4—794no—
1159C4×D4—798no—
1160C4×D4—794no—
1161C4×D4—798no—
1162C4×D4—798no—
1163C4×D4—798no—
1164C4×D4—798no—
1165C4×D4—798no—
1166C4×D4—798no—
1167C4×D4—794no—
1168C4×D4—794no—
1169C4×D4—798no—
1170C4×D4—792no—
1171C4×D4—794no—
1172C4×D4—798no—
1173C4×D4—794no—
1174C4×D4—792no—
1175C4×D4—794no—
1176C4×D4—794no—
1177C4×D4—794no—
1178C4×D4C22×D7914yes—
1179C4×D4C22×D7914yes—
1180C4×D4C22×D7914yes—
1181C4×D4C22×D7914yes—
1182C4×D4C22×D7912yescomplemented
1183C4×D4C22×D7912yescomplemented
1184C4×D4C22×D7918yescomplemented
1185#117—792no—
1186#117—794no—
1187#117—794no—
1188#117—794no—
1189#117—794no—
1190#117—798no—
1191#117—794no—
1192#117—798no—
1193#117—798no—
1194#117—798no—
1195#117—792no—
1196#117—792no—
1197#117—792no—
1198#117—792no—
1199#117—794no—
1200#117—798no—
1201#117C22×D7912yes—
1202#117C22×D7914yescomplemented
1203#117C22×D7914yescomplemented
1204C2×C4⋊C4—791no—
1205C2×C4⋊C4—791no—
1206C2×C4⋊C4—791no—
1207C2×C4⋊C4—794no—
1208C2×C4⋊C4—798no—
1209C2×C4⋊C4—794no—
1210C2×C4⋊C4—798no—
1211C2×C4⋊C4—794no—
1212C2×C4⋊C4—794no—
1213C2×C4⋊C4C22×D7911yescharacteristic
1214C2×C22⋊C4—792no—
1215C2×C22⋊C4—791no—
1216C2×C22⋊C4—792no—
1217C2×C22⋊C4—791no—
1218C2×C22⋊C4—792no—
1219C2×C22⋊C4—792no—
1220C2×C22⋊C4—798no—
1221C2×C22⋊C4—798no—
1222C2×C22⋊C4—798no—
1223C2×C22⋊C4—798no—
1224C2×C22⋊C4—798no—
1225C2×C22⋊C4—798no—
1226C2×C22⋊C4—798no—
1227C2×C22⋊C4—798no—
1228C2×C22⋊C4—798no—
1229C2×C22⋊C4—798no—
1230C2×C22⋊C4—798no—
1231C2×C22⋊C4C22×D7912yes—
1232C2×C42—792no—
1233C2×C42—791no—
1234C2×C42—798no—
1235C2×C42—794no—
1236C2×C42C22×D7911yescharacteristic
1237C2×C42C22×D7914yescomplemented
1238C24—792no—
1239C24—798no—
1240C24—791no—
1241C24—798no—
1242C24—6322no—
1243C24—6322no—
1244C24—1588no—
1245C24C23×D7912yes—
1246#41—28no—
1247#41—84no—
1248#41—6324no—
1249#41—6328no—
1250#41—15816no—
1251#41—15816no—
1252#41—1588no—
1253C2×Q8—794no—
1254C2×Q8—794no—
1255C2×Q8—794no—
1256C2×Q8—792no—
1257C2×Q8—6324no—
1258C2×Q8C23×D7912yes—
1259C2×Q8C23×D7914yes—
1260C2×D4—24no—
1261C2×D4—794no—
1262C2×D4—794no—
1263C2×D4—798no—
1264C2×D4—794no—
1265C2×D4—798no—
1266C2×D4—794no—
1267C2×D4—798no—
1268C2×D4—794no—
1269C2×D4—794no—
1270C2×D4—794no—
1271C2×D4—798no—
1272C2×D4—794no—
1273C2×D4—794no—
1274C2×D4—794no—
1275C2×D4—794no—
1276C2×D4—798no—
1277C2×D4—792no—
1278C2×D4—6324no—
1279C2×D4—6328no—
1280C2×D4—6328no—
1281C2×D4—15816no—
1282C2×D4—15816no—
1283C2×D4—15816no—
1284C2×D4—15816no—
1285C2×D4—15832no—
1286C2×D4—1588no—
1287C2×D4C23×D7914yes—
1288C2×D4C23×D7914yes—
1289C2×D4C23×D7912yes—
1290C2×D4C23×D7918yes—
1291C2×D4C23×D7914yes—
1292C2×D4C23×D7918yes—
1293C22×C4—82no—
1294C22×C4—792no—
1295C22×C4—791no—
1296C22×C4—791no—
1297C22×C4—798no—
1298C22×C4—798no—
1299C22×C4—798no—
1300C22×C4—798no—
1301C22×C4—794no—
1302C22×C4—794no—
1303C22×C4—794no—
1304C22×C4—798no—
1305C22×C4—794no—
1306C22×C4—798no—
1307C22×C4—791no—
1308C22×C4—798no—
1309C22×C4—794no—
1310C22×C4—792no—
1311C22×C4—792no—
1312C22×C4—6322no—
1313C22×C4—6322no—
1314C22×C4—6328no—
1315C22×C4—6322no—
1316C22×C4—1584no—
1317C22×C4C23×D7914yes—
1318C22×C4C23×D7912yes—
1319C22×C4C23×D7911yescharacteristic
1320C22×C4C23×D7911yescharacteristic
1321C22×C4C23×D7914yes—
1322C22×C4C23×D7914yes—
1323C22×C4C23×D7914yes—
1324C22×C4C23×D7914yes—
1325C22×C4C23×D7911yescharacteristic
1326C4⋊C4—798no—
1327C4⋊C4—794no—
1328C4⋊C4—794no—
1329C4⋊C4—794no—
1330C4⋊C4—794no—
1331C4⋊C4—791no—
1332C4⋊C4—791no—
1333C4⋊C4—792no—
1334C4⋊C4—792no—
1335C4⋊C4—791no—
1336C4⋊C4—791no—
1337C4⋊C4—798no—
1338C4⋊C4—794no—
1339C4⋊C4—794no—
1340C4⋊C4—794no—
1341C4⋊C4—794no—
1342C4⋊C4—794no—
1343C4⋊C4—794no—
1344C4⋊C4—794no—
1345C4⋊C4—792no—
1346C4⋊C4—798no—
1347C4⋊C4—794no—
1348C4⋊C4—794no—
1349C4⋊C4—794no—
1350C4⋊C4—792no—
1351C4⋊C4—794no—
1352C4⋊C4—794no—
1353C4⋊C4—794no—
1354C4⋊C4C23×D7912yes—
1355C4⋊C4C23×D7914yes—
1356C4⋊C4C23×D7918yes—
1357C4⋊C4C23×D7914yes—
1358C4⋊C4C23×D7914yes—
1359C4⋊C4C23×D7914yes—
1360C4⋊C4C23×D7912yes—
1361C4⋊C4C23×D7914yes—
1362C22⋊C4—794no—
1363C22⋊C4—794no—
1364C22⋊C4—794no—
1365C22⋊C4—798no—
1366C22⋊C4—794no—
1367C22⋊C4—798no—
1368C22⋊C4—798no—
1369C22⋊C4—794no—
1370C22⋊C4—794no—
1371C22⋊C4—794no—
1372C22⋊C4—794no—
1373C22⋊C4—794no—
1374C22⋊C4—792no—
1375C22⋊C4—798no—
1376C22⋊C4—792no—
1377C22⋊C4—792no—
1378C22⋊C4—792no—
1379C22⋊C4—798no—
1380C22⋊C4—798no—
1381C22⋊C4—798no—
1382C22⋊C4—794no—
1383C22⋊C4—798no—
1384C22⋊C4—794no—
1385C22⋊C4—794no—
1386C22⋊C4—794no—
1387C22⋊C4—794no—
1388C22⋊C4—794no—
1389C22⋊C4—794no—
1390C22⋊C4—798no—
1391C22⋊C4—794no—
1392C22⋊C4—794no—
1393C22⋊C4—794no—
1394C22⋊C4C23×D7918yes—
1395C22⋊C4C23×D7914yes—
1396C22⋊C4C23×D7914yes—
1397C22⋊C4C23×D7914yes—
1398C22⋊C4C23×D7918yes—
1399C22⋊C4C23×D7918yes—
1400C22⋊C4C23×D7918yes—
1401C42—794no—
1402C42—794no—
1403C42—794no—
1404C42—794no—
1405C42—798no—
1406C42—798no—
1407C42—792no—
1408C42—792no—
1409C42—794no—
1410C42C23×D7912yes—
1411C42C23×D7914yes—
1412C42C23×D7912yes—
1413C42C23×D7914yes—
1414C42C23×D7914yes—
1415C23—24no—
1416C23—42no—
1417C23—42no—
1418C23—3162no—
1419C23—3162no—
1420C23—3161no—
1421C23—3161no—
1422C23—3168no—
1423C23—3168no—
1424C23—3168no—
1425C23—3168no—
1426C23—798no—
1427C23—794no—
1428C23—792no—
1429C23—794no—
1430C23—63216no—
1431C23—15816no—
1432C23—15816no—
1433C23—1582no—
1434C23C24×D7914yes—
1435C23C24×D7914yes—
1436C23C24×D7911yescharacteristic
1437Q8—24no—
1438Q8—44no—
1439Q8—3164no—
1440Q8—3164no—
1441Q8—3164no—
1442Q8—1584no—
1443D4—28no—
1444D4—28no—
1445D4—24no—
1446D4—44no—
1447D4—48no—
1448D4—48no—
1449D4—3164no—
1450D4—3164no—
1451D4—3164no—
1452D4—3164no—
1453D4—3164no—
1454D4—3164no—
1455D4—3168no—
1456D4—3168no—
1457D4—3164no—
1458D4—7916no—
1459D4—15816no—
1460D4—1588no—
1461D4—1588no—
1462D4—15816no—
1463D4—1588no—
1464D4—1584no—
1465C2×C4—28no—
1466C2×C4—41no—
1467C2×C4—42no—
1468C2×C4—44no—
1469C2×C4—44no—
1470C2×C4—41no—
1471C2×C4—44no—
1472C2×C4—44no—
1473C2×C4—3168no—
1474C2×C4—3164no—
1475C2×C4—3164no—
1476C2×C4—3168no—
1477C2×C4—3164no—
1478C2×C4—3168no—
1479C2×C4—3168no—
1480C2×C4—3164no—
1481C2×C4—3161no—
1482C2×C4—3162no—
1483C2×C4—3161no—
1484C2×C4—3168no—
1485C2×C4—3168no—
1486C2×C4—794no—
1487C2×C4—794no—
1488C2×C4—794no—
1489C2×C4—791no—
1490C2×C4—791no—
1491C2×C4—791no—
1492C2×C4—792no—
1493C2×C4—794no—
1494C2×C4—791no—
1495C2×C4—15816no—
1496C2×C4—1582no—
1497C2×C4—1584no—
1498C2×C4—1584no—
1499C2×C4—1588no—
1500C2×C4#41×D7914yes—
1501C2×C4C24×D7911yescharacteristic
1502C2×C4C24×D7912yes—
1503C2×C4C24×D7914yes—
1504C2×C4C24×D7914yes—
1505C2×C4C24×D7914yes—
1506C2×C4C24×D7911yescharacteristic
1507C2×C4C24×D7914yes—
1508C2×C4C24×D7912yes—
1509C22—21no—
1510C22—21no—
1511C22—24no—
1512C22—24no—
1513C22—24no—
1514C22—24no—
1515C22—24no—
1516C22—24no—
1517C22—48no—
1518C22—3164no—
1519C22—3168no—
1520C22—798no—
1521C22—63216no—
1522C22—63216no—
1523C22—1582no—
1524C22—1584no—
1525C22—1584no—
1526C22—1582no—
1527C22—1584no—
1528C22—1582no—
1529C22—1584no—
1530C22—1584no—
1531C22C2×#41×D7912yes—
1532C22C25×D7911yescharacteristic
1533C4—24no—
1534C4—21no—
1535C4—21no—
1536C4—24no—
1537C4—24no—
1538C4—22no—
1539C4—24no—
1540C4—1581no—
1541C4—1581no—
1542C4—1584no—
1543C4—1581no—
1544C4—1581no—
1545C4—1584no—
1546C4—1584no—
1547C4—1584no—
1548C4—1582no—
1549C4C2×#41×D7914yes—
1550C2—22no—
1551C2—44no—
1552C2—44no—
1553C2—3162no—
1554C2—3164no—
1555C2—1588no—
1556C2C22×#41×D7911yescharacteristic
1557C2#2377821011yescharacteristic
1558C2#2377821111yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3460C2
hypercenter#3460D79
hypocenterC79#62846
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3460

Complements

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

NH ≅ G/Ntype
1. #23777466C2semidirect
2. #23777462C2semidirect
3. #23777430C2semidirect
4. #23777427C2semidirect
5. #23777359C2semidirect
6. #23777356C2semidirect
7. #23777338C2semidirect
8. #23777334C2semidirect
9. #23777251C2semidirect
10. #23777228C2semidirect
11. #23777202C2semidirect
12. #23777163C2semidirect
13. #23777121C2semidirect
14. #23777119C2semidirect
15. #23777083C2semidirect
16. #23777034C2semidirect
17. #23776822C2semidirect
18. #23776811C2semidirect
19. #23776785C2semidirect
20. #538×D79C2semidirect
21. C4×#14579207C2semidirect
22. C2×#19099035C2semidirect
23. C79×#3460C2semidirect
26. #19099299C22semidirect
27. #19099295C22semidirect
28. #19099287C22semidirect
29. #19099284C22semidirect
30. #19099282C22semidirect
31. #19099279C22semidirect
32. #19099277C22semidirect
33. #19099277C22semidirect
34. #19099274C22semidirect
35. #19099269C22semidirect
36. #19099269C22semidirect
37. #19099266C22semidirect
38. #19099265C22semidirect
39. #19099265C22semidirect
40. #19099263C22semidirect
41. #19099260C22semidirect
42. #19099260C22semidirect
43. #19099258C22semidirect
44. #19099257C22semidirect
45. #19099255C22semidirect
46. #19099252C22semidirect
47. #19099251C22semidirect
48. #19099247C22semidirect
49. #19099242C22semidirect
50. #19099242C22semidirect
51. #19099241C22semidirect
52. #19099240C22semidirect
53. #19099237C22semidirect
54. #19099236C22semidirect
55. #19099233C22semidirect
56. #19099228C22semidirect
57. #19099223C22semidirect
58. #19099220C22semidirect
59. #19099215C22semidirect
60. #19099213C22semidirect
61. #19099210C22semidirect
62. #19099210C22semidirect
63. #19099210C22semidirect
64. #19099210C22semidirect
65. #19099208C22semidirect
66. #19099206C22semidirect
67. #19099206C22semidirect
68. #19099205C22semidirect
69. #19099204C22semidirect
70. #19099202C22semidirect
71. #19099201C22semidirect
72. #19099201C22semidirect
73. #19099198C22semidirect
74. #19099198C22semidirect
75. #19099197C22semidirect
76. #19099197C22semidirect
77. #19099197C22semidirect
78. #19099194C22semidirect
79. #19099188C22semidirect
80. #19099185C22semidirect
81. #19099185C22semidirect
82. #19099178C22semidirect
83. #19099178C22semidirect
84. #19099178C22semidirect
85. #19099171C22semidirect
86. #19099171C22semidirect
87. #19099164C22semidirect
88. #19099164C22semidirect
89. #19099164C22semidirect
90. #19099156C22semidirect
91. #19099155C22semidirect
92. #19099155C22semidirect
93. #19099154C22semidirect
94. #19099153C22semidirect
95. #19099152C22semidirect
96. #19099151C22semidirect
97. #19099150C22semidirect
98. #19099149C22semidirect
99. #19099148C22semidirect
100. #19099147C22semidirect
101. #19099147C22semidirect
102. #19099146C22semidirect
103. #19099146C22semidirect
104. #19099145C22semidirect
105. #19099145C22semidirect
106. #19099144C22semidirect
107. #19099130C22semidirect
108. #19099123C22semidirect
109. #19099121C22semidirect
110. #19099116C22semidirect
111. #19099110C22semidirect
112. #19099109C22semidirect
113. #19099099C22semidirect
114. #19099097C22semidirect
115. #19099097C22semidirect
116. #19099096C22semidirect
117. #19099095C22semidirect
118. #19099094C22semidirect
119. #19099092C22semidirect
120. #19099091C22semidirect
121. #19099091C22semidirect
122. #126×D79C22semidirect
123. #124×D79C22semidirect
124. #19099075C22semidirect
125. #19099074C22semidirect
126. #19099073C22semidirect
127. #19099071C22semidirect
128. #19099070C22semidirect
129. #19099069C22semidirect
130. #123×D79C22semidirect
131. C22⋊Q8×D79C22semidirect
132. #121×D79C22semidirect
133. #121×D79C22semidirect
134. #120×D79C22semidirect
135. #19099046C22semidirect
136. #19099045C22semidirect
137. #19099043C22semidirect
138. #19099043C22semidirect
140. #19099037C22semidirect
141. #19099035C22semidirect
142. #19099035C22semidirect
143. #19099035C22semidirect
144. #19099035C22semidirect
145. #19099035C22semidirect
146. #19099035C22semidirect
147. C4×#11929625C22semidirect
148. C4×#11929624C22semidirect
149. C4×#11929624C22semidirect
151. C2×C4×D316C22semidirect
152. C2×D4×Dic79C22semidirect
154. C2×C4×C22⋊D79C22semidirect
155. C2×(C22⋊D79)⋊C4C22semidirect
156. C4×D4×D79C22semidirect
157. C4×D4×D79C22semidirect
158. C2×#14579119C22semidirect
159. C2×#14579118C22semidirect
160. C22×(C2×D79)⋊C4C22semidirect
161. C2×C22⋊C4×D79C22semidirect
162. #544×C79C22semidirect
163. #542×C79C22semidirect
164. #540×C79C22semidirect
165. #538×C79C22semidirect
166. #537×C79C22semidirect
167. #535×C79C22semidirect
168. #532×C79C22semidirect
169. #529×C79C22semidirect
170. #525×C79C22semidirect
171. C4×#41×C79C22semidirect
172. C2×C4×D4×C79C22semidirect
178. C2×#11929624C23semidirect
179. C2×#11929623C23semidirect
180. C2×Q8×D79C23semidirect
191. C2×D4×D79C23semidirect
196. C22×C4×D79C23semidirect
197. #14579160C23semidirect
198. #14579160C23semidirect
199. #14579160C23semidirect
200. #14579159C23semidirect
202. #14579157C23semidirect
207. #14579156C23semidirect
210. #14579155C23semidirect
211. #14579155C23semidirect
212. #14579154C23semidirect
213. #14579154C23semidirect
214. #14579154C23semidirect
215. #14579154C23semidirect
216. #14579154C23semidirect
217. #14579154C23semidirect
218. #14579153C23semidirect
219. #14579153C23semidirect
220. #14579152C23semidirect
221. #14579152C23semidirect
222. #14579152C23semidirect
223. #14579152C23semidirect
224. #14579152C23semidirect
225. #14579151C23semidirect
226. #14579151C23semidirect
228. #14579150C23semidirect
229. #14579150C23semidirect
233. #14579148C23semidirect
234. #14579148C23semidirect
235. #14579148C23semidirect
239. #14579147C23semidirect
240. #14579147C23semidirect
244. #14579146C23semidirect
247. #14579145C23semidirect
250. #14579144C23semidirect
251. #14579144C23semidirect
252. #14579144C23semidirect
255. #14579143C23semidirect
256. #14579143C23semidirect
257. #14579143C23semidirect
258. #14579143C23semidirect
259. #14579143C23semidirect
261. #14579142C23semidirect
262. #14579142C23semidirect
265. #14579141C23semidirect
266. #14579141C23semidirect
267. #14579141C23semidirect
269. #14579140C23semidirect
270. #14579140C23semidirect
271. #14579140C23semidirect
272. #14579139C23semidirect
273. #14579139C23semidirect
274. #14579139C23semidirect
275. #14579139C23semidirect
276. #14579139C23semidirect
279. #14579138C23semidirect
282. #14579137C23semidirect
283. #14579137C23semidirect
287. #14579136C23semidirect
288. #14579136C23semidirect
292. #14579135C23semidirect
297. #14579134C23semidirect
298. #14579134C23semidirect
302. #14579133C23semidirect
303. #14579133C23semidirect
310. #14579132C23semidirect
311. #14579132C23semidirect
315. #14579131C23semidirect
322. #14579129C23semidirect
323. Q8×Dic79C23semidirect
324. Q8×Dic79C23semidirect
325. C4×Dic158C23semidirect
326. C4×Dic158C23semidirect
327. C4×Dic158C23semidirect
328. C4×Dic158C23semidirect
329. C4×Dic158C23semidirect
330. #14579126C23semidirect
337. C4×D316C23semidirect
338. C4×D316C23semidirect
339. C4×D316C23semidirect
340. C4×D316C23semidirect
341. C4×D316C23semidirect
345. D4×Dic79C23semidirect
346. D4×Dic79C23semidirect
347. D4×Dic79C23semidirect
352. #14579123C23semidirect
353. #14579123C23semidirect
354. #14579123C23semidirect
363. C4×C22⋊D79C23semidirect
364. C4×C22⋊D79C23semidirect
365. C4×C22⋊D79C23semidirect
366. C4×C22⋊D79C23semidirect
367. C4×C22⋊D79C23semidirect
371. (C22⋊D79)⋊C4C23semidirect
372. (C22⋊D79)⋊C4C23semidirect
373. (C22⋊D79)⋊C4C23semidirect
375. #14579120C23semidirect
376. #14579120C23semidirect
379. #14579119C23semidirect
380. #14579119C23semidirect
381. #14579119C23semidirect
386. #14579118C23semidirect
387. #14579118C23semidirect
388. #14579117C23semidirect
389. #14579117C23semidirect
391. C2×C4⋊Dic79C23semidirect
394. C4⋊C4×D79C23semidirect
395. C4⋊C4×D79C23semidirect
396. C4⋊C4×D79C23semidirect
397. C4⋊C4×D79C23semidirect
398. C4⋊C4×D79C23semidirect
407. C2×(C2×D79)⋊C4C23semidirect
413. C22⋊C4×D79C23semidirect
414. C22⋊C4×D79C23semidirect
415. C22⋊C4×D79C23semidirect
418. C42×D79C23semidirect
419. C42×D79C23semidirect
421. C2×#41×C79C23semidirect
424. C4⋊Q8×C79C23semidirect
426. #126×C79C23semidirect
427. #125×C79C23semidirect
429. #124×C79C23semidirect
430. #123×C79C23semidirect
431. #123×C79C23semidirect
433. C22⋊Q8×C79C23semidirect
434. C22⋊Q8×C79C23semidirect
438. #121×C79C23semidirect
439. #121×C79C23semidirect
440. #121×C79C23semidirect
442. C4×Q8×C79C23semidirect
443. C4×Q8×C79C23semidirect
448. C4×D4×C79C23semidirect
449. C4×D4×C79C23semidirect
450. C4×D4×C79C23semidirect
452. #117×C79C23semidirect
453. #117×C79C23semidirect
457. C2×C42×C79C23semidirect
476. C2×D316#41semidirect
797. #3460D79semidirect
803. C79#62846semidirect
859. #544C2×D79semidirect
866. #542C2×D79semidirect
872. #540C2×D79semidirect
889. #538C2×D79semidirect
891. #537C2×D79semidirect
893. #535C2×D79semidirect
899. #532C2×D79semidirect
909. #529C2×D79semidirect
918. #525C2×D79semidirect
939. C4×#41C2×D79semidirect
948. C2×C4×D4C2×D79semidirect
961. C2×#41C22×D79semidirect
985. C4⋊Q8C22×D79semidirect
1004. #126C22×D79semidirect
1014. #125C22×D79semidirect
1030. #124C22×D79semidirect
1053. #123C22×D79semidirect
1054. #123C22×D79semidirect
1077. C22⋊Q8C22×D79semidirect
1078. C22⋊Q8C22×D79semidirect
1110. #121C22×D79semidirect
1111. #121C22×D79semidirect
1112. #121C22×D79semidirect
1133. C4×Q8C22×D79semidirect
1134. C4×Q8C22×D79semidirect
1182. C4×D4C22×D79semidirect
1183. C4×D4C22×D79semidirect
1184. C4×D4C22×D79semidirect
1202. #117C22×D79semidirect
1203. #117C22×D79semidirect
1237. C2×C42C22×D79semidirect

Maximal subgroups

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

subgroupindex
#237774662
#237774622
#237774302
#237774272
#237773592
#237773562
#237773382
#237773342
#237772512
#237772282
#237772022
#237771632
#237771212
#237771192
#237770832
#237770342
#237768222
#237768112
#237767852
#538×D792
C4×#145792072
C2×#190990352
C79×#34602
#6284679