Finite Group Databasebeta

← #35197311

Subgroups — #35197311

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#23777475C214yesmaximal, complemented
2#23777473C214yesmaximal, complemented
3#23777435C214yesmaximal, complemented
4#23777428C214yesmaximal, complemented
5#23777364C214yesmaximal, complemented
6#23777357C214yesmaximal, complemented
7#23777347C214yesmaximal, complemented
8#23777345C214yesmaximal, complemented
9#23777245C212yesmaximal, complemented
10#23777235C214yesmaximal, complemented
11#23777202C211yesmaximal, characteristic, complemented
12#23777163C211yesmaximal, characteristic, complemented
13#23777120C211yesmaximal, characteristic, complemented
14#23777086C214yesmaximal, complemented
15#23777033C212yesmaximal, complemented
16#23776823C211yesmaximal, characteristic, complemented
17#23776817C211yesmaximal, characteristic, complemented
18#23776810C214yesmaximal, complemented
19#23776788C212yesmaximal, complemented
20#538×D79C214yesmaximal, complemented
21#23776606C212yesmaximal, complemented
22C2×#19099037C211yesmaximal, characteristic, complemented
23C79×#3493C211yesmaximal, characteristic, complemented
24C2×#14579207C2212yes—
25C23×D316C2211yescharacteristic
26#19099298C2214yescomplemented
27#19099296C2214yescomplemented
28#19099285C2214yescomplemented
29#19099281C2214yescomplemented
30#19099276C2214yescomplemented
31#19099276C2214yescomplemented
32#19099274C2214yescomplemented
33#19099269C2214yescomplemented
34#19099269C2214yescomplemented
35#19099266C2214yescomplemented
36#19099264C2218yescomplemented
37#19099263C2214yescomplemented
38#19099261C2214yescomplemented
39#19099257C2214yescomplemented
40#19099257C2214yescomplemented
41#19099257C2218yescomplemented
42#19099254C2214yescomplemented
43#19099252C2214yescomplemented
44#19099251C2214yescomplemented
45#19099243C2218yescomplemented
46#19099241C2218yescomplemented
47#19099238C2218yescomplemented
48#19099238C2218yescomplemented
49#19099238C2218yescomplemented
50#19099237C2218yescomplemented
51#19099234C2214yescomplemented
52#19099228C2214yescomplemented
53#19099225C2214yescomplemented
54#19099221C2214yescomplemented
55#19099215C2214yescomplemented
56#19099214C2214yescomplemented
57#19099210C2214yescomplemented
58#19099210C2218yescomplemented
59#19099209C2214yescomplemented
60#19099209C2214yescomplemented
61#19099208C2214yescomplemented
62#19099206C2218yescomplemented
63#19099206C2214yescomplemented
64#19099205C2218yescomplemented
65#19099204C2214yescomplemented
66#19099204C2214yescomplemented
67#19099204C2214yescomplemented
68#19099202C2218yescomplemented
69D4×D316C2214yescomplemented
70D4×D316C2214yescomplemented
71#19099197C2214yescomplemented
72#19099197C2214yescomplemented
73#19099197C2214yescomplemented
74#19099194C2211yescharacteristic, complemented
75#19099188C2214yescomplemented
76#19099187C2214yescomplemented
77#19099186C2212yescomplemented
78#19099186C2212yescomplemented
79#19099186C2214yescomplemented
80#19099180C2212yescomplemented
81#19099180C2212yescomplemented
82#19099173C2212yescomplemented
83#19099173C2212yescomplemented
84#19099169C2214yescomplemented
85#19099166C2212yescomplemented
86#19099166C2212yescomplemented
87#19099166C2214yescomplemented
88#19099161C2218yescomplemented
89#19099157C2214yescomplemented
90#19099157C2214yescomplemented
91#19099154C2218yescomplemented
92#19099153C2214yescomplemented
93#19099152C2218yescomplemented
94#19099152C2218yescomplemented
95#19099151C2214yescomplemented
96#19099150C2214yescomplemented
97#19099149C2218yescomplemented
98#19099148C2214yescomplemented
99#19099148C2214yescomplemented
100#19099147C2218yescomplemented
101#19099147C2218yescomplemented
102#19099146C2218yescomplemented
103#19099145C2218yescomplemented
104#19099144C2211yescharacteristic, complemented
105#19099132C2212yescomplemented
106#19099127C2212yescomplemented
107#19099124C2218yescomplemented
108#19099121C2214yescomplemented
109#19099116C2212yescomplemented
110#19099114C2214yescomplemented
111#19099109C2212yescomplemented
112#19099108C2214yescomplemented
113#19099100C2218yescomplemented
114#19099099C2214yescomplemented
115#19099098C2214yescomplemented
116#19099097C2214yescomplemented
117#19099095C2214yescomplemented
118#19099095C2214yescomplemented
119#19099093C2214yescomplemented
120#19099093C2214yescomplemented
121#19099091C2218yescomplemented
122#126×D79C2218yescomplemented
123#124×D79C2218yescomplemented
124#19099076C2214yescomplemented
125#19099075C2218yescomplemented
126#19099074C2212yescomplemented
127#19099073C2214yescomplemented
128#19099072C2218yescomplemented
129#19099072C2218yescomplemented
130#123×D79C2218yescomplemented
131C22⋊Q8×D79C2214yescomplemented
132#121×D79C2218yescomplemented
133#121×D79C2214yescomplemented
134#120×D79C2218yescomplemented
135#19099045C2214yescomplemented
136#19099044C2212yescomplemented
137#19099044C2214yescomplemented
138#19099037C2212yes—
139#19099037C2214yescomplemented
140#19099037C2214yescomplemented
141#19099037C2214yescomplemented
142#19099037C2214yescomplemented
143#19099037C2214yescomplemented
144#19099035C2218yescomplemented
145#19099035C2214yescomplemented
146#41×Dic79C2212yescomplemented
147C4×#11929625C2214yescomplemented
148#19099031C2212yescomplemented
149#19099031C2214yescomplemented
150C2×C4×D316C2212yescomplemented
151C2×C4×D316C2212yescomplemented
152C2×#14579123C2211yescharacteristic
153C2×#14579123C2211yescharacteristic
154C2×#14579123C2211yescharacteristic, complemented
155C2×#14579123C2211yescharacteristic, complemented
156C2×#14579123C2214yescomplemented
157C4×D4×D79C2218yescomplemented
158C4×D4×D79C2214yescomplemented
159C2×#14579120C2211yescharacteristic, complemented
160C2×C22⋊C4×D79C2212yescomplemented
161C2×C22⋊C4×D79C2212yescomplemented
162#556×C79C2214yescomplemented
163#555×C79C2214yescomplemented
164#553×C79C2214yescomplemented
165#552×C79C2214yescomplemented
166#544×C79C2211yescharacteristic, complemented
167#538×C79C2214yescomplemented
168#537×C79C2211yescharacteristic, complemented
169#529×C79C2214yescomplemented
170#525×C79C2212yescomplemented
171#520×C79C2212yescomplemented
172C2×#117×C79C2211yescharacteristic, complemented
173C24×D79C2312yes—
174#14579207—216no—
175C2×#11929625C2314yes—
176C2×#11929625C2314yescomplemented
177C2×#11929624C2312yes—
178C2×#11929624C2314yes—
179C2×#11929624C2318yescomplemented
180C2×#11929623C2314yescomplemented
181C2×Q8×D79C2314yescomplemented
182C22×D316—28no—
183C22×D316C2314yes—
184C22×D316C2314yes—
185C22×D316C2314yes—
186C22×D316C2311yescharacteristic
187C22×D316C2312yes—
188C22×D316C2311yescharacteristic
189C2×D4×D79C2314yes—
190C2×D4×D79C2318yes—
191C2×D4×D79C2318yes—
192C2×D4×D79C2318yes—
193C2×D4×D79C2314yescomplemented
194C22×C4×D79C2312yes—
195C22×C4×D79C2312yes—
196C22×C4×D79C2312yes—
197C22×C4×D79C2312yes—
198C22×C4×D79C2318yescomplemented
199#14579160C2312yescomplemented
200#14579160C2312yescomplemented
201#14579160C2314yescomplemented
202#14579159C2312yescomplemented
203#14579158C2314yes—
204#14579157C2314yes—
205#14579157C2312yescomplemented
206#14579156C2318yescomplemented
207#14579156C2318yescomplemented
208#14579156C2318yescomplemented
209#14579156C2314yescomplemented
210#14579156C2314yescomplemented
211#14579155C2318yescomplemented
212#14579155C2318yescomplemented
213#14579154C2318yes—
214#14579154C2314yes—
215#14579154C2314yes—
216#14579154C2314yes—
217#14579154C2314yes—
218#14579154C2314yescomplemented
219#14579154C2314yescomplemented
220#14579153C2314yescomplemented
221#14579152C2314yescomplemented
222#14579152C2314yescomplemented
223#14579152C2312yescomplemented
224#14579152C2312yescomplemented
225#14579152C2314yescomplemented
226#14579151C2314yescomplemented
227#14579151C2314yescomplemented
228#14579150C2314yes—
229#14579150C2318yescomplemented
230#14579150C2312yescomplemented
231#14579149C2314yes—
232#14579149C2318yescomplemented
233#14579149C2314yescomplemented
234#14579148C2314yes—
235#14579148C2314yes—
236#14579148C2312yescomplemented
237#14579147C2314yes—
238#14579147C2314yes—
239#14579147C2318yes—
240#14579147C2318yescomplemented
241#14579147C2318yescomplemented
242#14579146C2318yes—
243#14579146C2318yes—
244#14579146C2318yescomplemented
245#14579146C2318yescomplemented
246#14579146C2318yescomplemented
247#14579146C2318yescomplemented
248#14579146C2318yescomplemented
249#14579145C2314yescomplemented
250#14579145C2318yescomplemented
251#14579145C2314yescomplemented
252#14579144C2314yes—
253#14579144C2318yescomplemented
254#14579143C2318yes—
255#14579143C2314yes—
256#14579143C2314yes—
257#14579143C2318yescomplemented
258#14579143C2314yescomplemented
259#14579143C2318yescomplemented
260#14579143C2314yescomplemented
261#14579143C2318yescomplemented
262#14579142C2314yes—
263#14579142C2314yes—
264#14579141C2314yescomplemented
265#14579141C2314yescomplemented
266#14579141C2318yescomplemented
267#14579141C2314yescomplemented
268#14579141C2314yescomplemented
269#14579141C2314yescomplemented
270#14579140C2314yes—
271#14579140C2312yes—
272#14579140C2312yes—
273#14579139C2318yescomplemented
274#14579139C2318yescomplemented
275#14579139C2318yescomplemented
276#14579139C2318yescomplemented
277#14579138C2314yes—
278#14579138C2314yes—
279#14579138C2314yescomplemented
280#14579138C2314yescomplemented
281#14579137C2314yescomplemented
282#14579137C2318yescomplemented
283#14579137C2314yescomplemented
284#14579136C2318yes—
285#14579136C2318yes—
286#14579136C2314yes—
287#14579136C2314yes—
288#14579136C2314yescomplemented
289#14579136C2318yescomplemented
290#14579136C2314yescomplemented
291#14579136C2314yescomplemented
292#14579135C2314yes—
293#14579135C2312yes—
294#14579135C2312yes—
295#14579135C2314yes—
296#14579135C2314yes—
297#14579135C2318yescomplemented
298#14579134C2318yes—
299#14579134C2318yes—
300#14579134C2318yes—
301#14579134C2318yescomplemented
302#14579134C2318yescomplemented
303#14579134C2318yescomplemented
304#14579133C2314yes—
305#14579133C2314yes—
306#14579133C2314yes—
307#14579133C2314yes—
308#14579133C2318yescomplemented
309#14579132C2314yes—
310#14579132C2314yes—
311#14579132C2314yescomplemented
312#14579132C2314yescomplemented
313#14579131C2318yes—
314#14579131C2318yes—
315#14579131C2318yes—
316#14579131C2318yes—
317#14579131C2318yes—
318#14579131C2318yescomplemented
319#14579130C2314yes—
320#14579129C2318yes—
321#14579129C2318yes—
322#14579129C2318yes—
323#14579129C2318yescomplemented
324Q8×Dic79C2312yescomplemented
325Q8×Dic79C2312yescomplemented
326C4×Dic158C2314yescomplemented
327C4×Dic158C2314yescomplemented
328C4×Dic158C2314yescomplemented
329#14579126C2312yescomplemented
330#14579126C2312yescomplemented
331#14579126C2314yescomplemented
332C4×D316C2318yes—
333C4×D316C2318yes—
334C4×D316C2314yes—
335C4×D316C2314yes—
336C4×D316C2314yes—
337C4×D316C2314yes—
338C4×D316C2314yes—
339C4×D316C2314yes—
340C4×D316C2318yescomplemented
341C4×D316C2318yescomplemented
342C4×D316C2318yescomplemented
343C4×D316C2314yescomplemented
344D4×Dic79C2314yes—
345D4×Dic79C2314yes—
346D4×Dic79C2312yescomplemented
347D4×Dic79C2312yescomplemented
348#14579123C2314yes—
349#14579123C2314yes—
350#14579123C2314yes—
351#14579123C2314yes—
352#14579123C2314yes—
353#14579123C2314yes—
354#14579123C2314yes—
355#14579123C2314yes—
356#14579123C2314yes—
357#14579123C2314yes—
358#14579123C2318yescomplemented
359#14579123C2312yescomplemented
360#14579123C2312yescomplemented
361#14579123C2318yescomplemented
362#14579123C2318yescomplemented
363#14579123C2314yescomplemented
364C4×C22⋊D79C2318yes—
365C4×C22⋊D79C2314yes—
366C4×C22⋊D79C2314yes—
367C4×C22⋊D79C2318yescomplemented
368C4×C22⋊D79C2314yescomplemented
369C4×C22⋊D79C2318yescomplemented
370C4×C22⋊D79C2314yescomplemented
371C4×C22⋊D79C2318yescomplemented
372(C22⋊D79)⋊C4C2314yes—
373(C22⋊D79)⋊C4C2314yes—
374(C22⋊D79)⋊C4C2318yescomplemented
375(C22⋊D79)⋊C4C2318yescomplemented
376(C22⋊D79)⋊C4C2318yescomplemented
377#14579120C2312yes—
378#14579120C2312yes—
379#14579120C2312yes—
380#14579120C2312yes—
381#14579120C2312yes—
382#14579120C2314yescomplemented
383#14579119C2318yescomplemented
384#14579119C2314yescomplemented
385#14579119C2314yescomplemented
386#14579119C2314yescomplemented
387#14579118C2314yescomplemented
388#14579118C2318yescomplemented
389#14579118C2318yescomplemented
390#14579118C2318yescomplemented
391C2×C4⋊Dic79C2311yescharacteristic
392C2×C4⋊Dic79C2311yescharacteristic
393C4⋊C4×D79C2318yescomplemented
394C4⋊C4×D79C2314yescomplemented
395C4⋊C4×D79C2314yescomplemented
396C4⋊C4×D79C2318yescomplemented
397C4⋊C4×D79C2314yescomplemented
398C2×C22⋊Dic79C2311yescharacteristic
399C2×C22⋊Dic79C2311yescharacteristic
400C2×(C2×D79)⋊C4C2312yes—
401C2×(C2×D79)⋊C4C2312yes—
402C2×(C2×D79)⋊C4C2312yes—
403C2×(C2×D79)⋊C4C2312yes—
404C2×(C2×D79)⋊C4C2318yescomplemented
405C22⋊C4×D79C2318yes—
406C22⋊C4×D79C2318yes—
407C22⋊C4×D79C2318yes—
408C22⋊C4×D79C2318yes—
409C22⋊C4×D79C2318yes—
410C22⋊C4×D79C2318yes—
411C22⋊C4×D79C2318yes—
412C22⋊C4×D79C2318yescomplemented
413C22⋊C4×D79C2318yescomplemented
414C22⋊C4×D79C2318yescomplemented
415C2×C4×Dic79C2311yescharacteristic
416C2×C4×Dic79C2311yescharacteristic
417C2×C4×Dic79C2314yescomplemented
418C42×D79C2318yescomplemented
419C42×D79C2314yescomplemented
420C2×#41×C79C2312yes—
421C23×C4×C79C2311yescharacteristic
422C4⋊Q8×C79C2314yescomplemented
423#126×C79C2318yes—
424#126×C79C2318yescomplemented
425#125×C79C2314yescomplemented
426#125×C79C2314yescomplemented
427#124×C79C2318yes—
428#124×C79C2314yescomplemented
429#123×C79C2318yes—
430#123×C79C2314yes—
431C22⋊Q8×C79C2314yes—
432C22⋊Q8×C79C2312yes—
433C22⋊Q8×C79C2312yes—
434C22⋊Q8×C79C2314yescomplemented
435#121×C79C2318yes—
436#121×C79C2314yes—
437#121×C79C2312yes—
438#121×C79C2312yes—
439#121×C79C2314yescomplemented
440#120×C79C2314yes—
441C4×Q8×C79C2314yescomplemented
442C4×Q8×C79C2314yescomplemented
443C4×D4×C79C2318yes—
444C4×D4×C79C2314yes—
445C4×D4×C79C2314yes—
446C4×D4×C79C2314yescomplemented
447C4×D4×C79C2314yescomplemented
448#117×C79C2314yes—
449#117×C79C2314yes—
450#117×C79C2312yes—
451#117×C79C2318yescomplemented
452#117×C79C2314yescomplemented
453C2×C4⋊C4×C79C2311yescharacteristic
454C2×C4⋊C4×C79C2311yescharacteristic
455C2×C4⋊C4×C79C2314yescomplemented
456C2×C22⋊C4×C79C2312yes—
457C2×C42×C79C2312yes—
458C23×D79—28no—
459C23×D79—82no—
460C23×D79—82no—
461C23×D79C2418yes—
462C23×D79C2412yes—
463C23×D79C2418yes—
464C23×D79C2412yes—
465#11929625—216no—
466#11929625—84no—
467#11929624—216no—
468#11929624—28no—
469#11929624—88no—
470#11929623—84no—
471C2×Dic158C2412yes—
472C2×Dic158C2414yes—
473C2×Dic158C2414yes—
474C2×Dic158C2414yes—
475Q8×D79—84no—
476C2×D316—216no—
477C2×D316—216no—
478C2×D316—216no—
479C2×D316—28no—
480C2×D316—24no—
481C2×D316#4118yescomplemented
482C2×D316C2412yes—
483C2×D316C2418yes—
484C2×D316C2414yes—
485C2×D316C2414yes—
486C2×D316C2414yes—
487C2×D316C2418yes—
488C2×D316C2418yes—
489C2×D316C2414yes—
490C2×D316C2414yes—
491C2×C22⋊D79C2414yes—
492C2×C22⋊D79C2418yes—
493C2×C22⋊D79C2418yes—
494C2×C22⋊D79C2414yes—
495C2×C22⋊D79C2418yes—
496C2×C22⋊D79C2414yes—
497C2×C22⋊D79C2414yes—
498C2×C22⋊D79C2414yes—
499D4×D79—216no—
500D4×D79—232no—
501D4×D79—88no—
502D4×D79—88no—
503D4×D79—84no—
504C22×Dic79C2414yes—
505C22×Dic79C2411yescharacteristic
506C22×Dic79C2411yescharacteristic
507C22×Dic79C2411yescharacteristic
508C22×Dic79C2411yescharacteristic
509C22×Dic79C2414yes—
510C2×C4×D79—82no—
511C2×C4×D79—82no—
512C2×C4×D79—82no—
513C2×C4×D79—82no—
514C2×C4×D79—88no—
515C2×C4×D79C2418yes—
516C2×C4×D79C2414yes—
517C2×C4×D79C2418yes—
518C2×C4×D79C2414yes—
519C2×C4×D79C2414yes—
520C2×C4×D79C2418yes—
521C2×C4×D79C2418yes—
522C2×C4×D79C2414yes—
523C2×C4×D79C2414yes—
524C2×C4×D79C2418yes—
525C2×C4×D79C2414yes—
526C2×C4×D79C2418yes—
527C2×C4×D79C2414yes—
528C4⋊Dic79C2412yes—
529C4⋊Dic79C2414yes—
530C4⋊Dic79C2414yes—
531C4⋊Dic79C2414yes—
532C4⋊Dic79C2414yes—
533C4⋊Dic79C2411yescharacteristic
534C4⋊Dic79C2412yes—
535C4⋊Dic79C2411yescharacteristic
536C4⋊Dic79C2412yes—
537C4⋊Dic79C2411yescharacteristic
538C4⋊Dic79C2411yescharacteristic
539C4⋊Dic79C2412yes—
540C4⋊Dic79C2414yes—
541C4⋊Dic79C2414yes—
542Dic79⋊C4C2414yes—
543Dic79⋊C4C2418yes—
544Dic79⋊C4C2414yes—
545Dic79⋊C4C2414yes—
546Dic79⋊C4C2414yes—
547Dic79⋊C4C2418yes—
548Dic79⋊C4C2414yes—
549Dic79⋊C4C2414yes—
550Dic79⋊C4C2414yes—
551Dic79⋊C4C2414yes—
552Dic79⋊C4C2414yes—
553Dic79⋊C4C2414yes—
554C22⋊Dic79C2412yes—
555C22⋊Dic79C2412yes—
556C22⋊Dic79C2412yes—
557C22⋊Dic79C2412yes—
558C22⋊Dic79C2414yes—
559C22⋊Dic79C2414yes—
560C22⋊Dic79C2414yes—
561C22⋊Dic79C2414yes—
562C22⋊Dic79C2414yes—
563C22⋊Dic79C2414yes—
564C22⋊Dic79C2414yes—
565(C2×D79)⋊C4C2414yes—
566(C2×D79)⋊C4C2414yes—
567(C2×D79)⋊C4C2418yes—
568(C2×D79)⋊C4C2418yes—
569(C2×D79)⋊C4C2414yes—
570(C2×D79)⋊C4C2414yes—
571(C2×D79)⋊C4C2418yes—
572(C2×D79)⋊C4C2418yes—
573(C2×D79)⋊C4C2418yes—
574(C2×D79)⋊C4C2418yes—
575(C2×D79)⋊C4C2418yes—
576(C2×D79)⋊C4C2418yes—
577(C2×D79)⋊C4C2414yes—
578(C2×D79)⋊C4C2414yes—
579(C2×D79)⋊C4C2418yes—
580(C2×D79)⋊C4C2418yes—
581(C2×D79)⋊C4C2414yes—
582(C2×D79)⋊C4C2414yes—
583(C2×D79)⋊C4C2414yes—
584(C2×D79)⋊C4C2414yes—
585C4×Dic79C2414yes—
586C4×Dic79C2412yes—
587C4×Dic79C2414yes—
588C4×Dic79C2418yes—
589C4×Dic79C2414yes—
590C4×Dic79C2412yes—
591C4×Dic79C2412yes—
592C4×Dic79C2412yes—
593C4×Dic79C2414yes—
594C4×Dic79C2414yes—
595C24×C79C2411yescharacteristic
596#41×C79—28no—
597C2×Q8×C79C2412yes—
598C2×Q8×C79C2414yes—
599C2×D4×C79C2414yes—
600C2×D4×C79C2412yes—
601C2×D4×C79C2414yes—
602C2×D4×C79C2414yes—
603C2×D4×C79C2414yes—
604C22×C4×C79—24no—
605C22×C4×C79C2414yes—
606C22×C4×C79C2411yescharacteristic
607C22×C4×C79C2412yes—
608C22×C4×C79C2412yes—
609C22×C4×C79C2418yes—
610C22×C4×C79C2412yes—
611C22×C4×C79C2412yes—
612C22×C4×C79C2411yescharacteristic
613C4⋊C4×C79C2414yes—
614C4⋊C4×C79C2414yes—
615C4⋊C4×C79C2412yes—
616C4⋊C4×C79C2418yes—
617C4⋊C4×C79C2412yes—
618C4⋊C4×C79C2414yes—
619C4⋊C4×C79C2418yes—
620C4⋊C4×C79C2414yes—
621C4⋊C4×C79C2414yes—
622C4⋊C4×C79C2414yes—
623C22⋊C4×C79C2418yes—
624C22⋊C4×C79C2414yes—
625C22⋊C4×C79C2414yes—
626C22⋊C4×C79C2418yes—
627C22⋊C4×C79C2418yes—
628C22⋊C4×C79C2414yes—
629C22⋊C4×C79C2414yes—
630C22⋊C4×C79C2414yes—
631C42×C79C2414yes—
632C42×C79C2414yes—
633C42×C79C2414yes—
634C42×C79C2418yes—
635C23×C79—22no—
636C23×C79—41no—
637C23×C79—41no—
638C23×C79C2512yes—
639C23×C79C2514yes—
640C23×C79C2511yescharacteristic
641C22×D79—24no—
642C22×D79—216no—
643C22×D79—216no—
644C22×D79—42no—
645C22×D79—42no—
646C22×D79—42no—
647C22×D79—42no—
648C22×D79—48no—
649C22×D79—48no—
650C22×D79—48no—
651C22×D79—48no—
652C22×D79—816no—
653C22×D79C2×#4118yes—
654C22×D79C2514yes—
655C22×D79C2514yes—
656C22×D79C2514yes—
657Q8×C79—24no—
658Q8×C79—44no—
659D4×C79—28no—
660D4×C79—24no—
661D4×C79—44no—
662D4×C79—44no—
663D4×C79—44no—
664C2×C4×C79—22no—
665C2×C4×C79—24no—
666C2×C4×C79—24no—
667C2×C4×C79—28no—
668C2×C4×C79—42no—
669C2×C4×C79—42no—
670C2×C4×C79—48no—
671C2×C4×C79C2×#4114yes—
672C2×C4×C79C2514yes—
673C2×C4×C79C2514yes—
674C2×C4×C79C2514yes—
675C2×C4×C79C2514yes—
676C2×C4×C79C2514yes—
677C2×C4×C79C2511yescharacteristic
678C2×C4×C79C2511yescharacteristic
679C2×C4×C79C2512yes—
680C22⋊D79—28no—
681C22⋊D79—216no—
682C22⋊D79—44no—
683C22⋊D79—44no—
684C22⋊D79—44no—
685C22⋊D79—48no—
686C22⋊D79—48no—
687C22⋊D79—44no—
688C2×Dic79—41no—
689C2×Dic79—44no—
690C2×Dic79—41no—
691C2×Dic79—41no—
692C2×Dic79—41no—
693C2×Dic79—44no—
694C2×Dic79C2511yescharacteristic
695C2×Dic79C2512yes—
696C2×Dic79C2511yescharacteristic
697C2×Dic79C2514yes—
698C2×Dic79C2514yes—
699C2×Dic79C2511yescharacteristic
700C2×Dic79C2512yes—
701C2×Dic79C2514yes—
702C2×Dic79C2511yescharacteristic
703D316—216no—
704D316—28no—
705D316—28no—
706D316—28no—
707D316—24no—
708D316—48no—
709D316—44no—
710D316—48no—
711D316C2×#41116yes—
712C4×D79—216no—
713C4×D79—28no—
714C4×D79—48no—
715C4×D79—44no—
716C4×D79—44no—
717C4×D79—48no—
718C4×D79—44no—
719C4×D79—44no—
720C4×D79—48no—
721C4×D79—48no—
722C4×D79—44no—
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—22no—
733C22×C79—24no—
734C22×C79—24no—
735C22×C79—22no—
736C22×C79—22no—
737C22×C79—44no—
738C22×C79C22×#4112yes—
739C22×C79C2611yescharacteristic
740C2×D79—24no—
741C2×D79—24no—
742C2×D79—24no—
743C2×D79—24no—
744C2×D79—24no—
745C2×D79—24no—
746C2×D79—24no—
747C2×D79—24no—
748C2×D79—48no—
749C2×D79—48no—
750C2×D79—816no—
751C2×D79—816no—
752C2×D79C22×#4118yes—
753C4×C79—21no—
754C4×C79—21no—
755C4×C79—24no—
756C4×C79—24no—
757C4×C79—24no—
758C4×C79—24no—
759C4×C79—24no—
760C4×C79C22×#4114yes—
761Dic79—24no—
762Dic79—21no—
763Dic79—24no—
764Dic79—24no—
765Dic79—22no—
766Dic79—21no—
767Dic79—21no—
768Dic79—22no—
769Dic79—21no—
770#62846—791nomaximal, Sylow
771C2×C79—22no—
772C2×C79—42no—
773C2×C79—44no—
774C2×C79C23×#4111yescharacteristic
775C2×C79H(7,𝔽2)11yescharacteristic
776C2×C79H(7,𝔽2)11yescharacteristic
777D79—28no—
778D79—44no—
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#3493D7911yescharacteristic, complemented
794#3490—794no—
795#3484—792no—
796#3460—791no—
797#3460—791no—
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#556C2×D7914yescomplemented
811#555—794no—
812#555—794no—
813#555C2×D7914yescomplemented
814#554—794no—
815#554—794no—
816#554—794no—
817#553—798no—
818#553—794no—
819#553—794no—
820#553—794no—
821#553—798no—
822#553—794no—
823#553—794no—
824#553C2×D7914yescomplemented
825#552—794no—
826#552—794no—
827#552—794no—
828#552C2×D7914yescomplemented
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—798no—
844#546—794no—
845#546—794no—
846#546—794no—
847#546—798no—
848#546—798no—
849#546—794no—
850#546—794no—
851#546—794no—
852#546—794no—
853D42—794no—
854D42—794no—
855D42—794no—
856D42—794no—
857D42—794no—
858#544—791no—
859#544C2×D7911yescharacteristic, complemented
860#543—794no—
861#542—794no—
862#542—792no—
863#542—792no—
864#542—794no—
865#542—792no—
866#542—792no—
867#541—792no—
868#541—792no—
869#540—794no—
870#540—792no—
871#540—792no—
872#540—794no—
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—798no—
882#538—794no—
883#538—798no—
884#538—794no—
885#538—794no—
886#538—794no—
887#538—798no—
888#538—794no—
889#538C2×D7914yescomplemented
890#537—791no—
891#537C2×D7911yescharacteristic, complemented
892#535—792no—
893#535—792no—
894#534—798no—
895#534—794no—
896#533—792no—
897#532—792no—
898#532—794no—
899#532—794no—
900#529—794no—
901#529—794no—
902#529—798no—
903#529—794no—
904#529—794no—
905#529—794no—
906#529—794no—
907#529—798no—
908#529—794no—
909#529C2×D7914yescomplemented
910C2×#126—798no—
911C2×#124—798no—
912#525—792no—
913#525—794no—
914#525—794no—
915#525—798no—
916#525—798no—
917#525—798no—
918#525C2×D7912yescomplemented
919C2×#123—798no—
920C2×C22⋊Q8—794no—
921C2×#121—794no—
922C2×#121—798no—
923C2×#120—798no—
924#520—794no—
925#520—792no—
926#520—794no—
927#520C2×D7912yescomplemented
928#518—798no—
929#518—794no—
930#518—794no—
931#518—794no—
932#518—794no—
933#518—794no—
934#518—792no—
935#518—794no—
936C4×#41—792no—
937C4×#41—794no—
938C4×#41—792no—
939C4×#41—794no—
940C2×C4×D4—798no—
941C2×C4×D4—794no—
942C2×C4×D4—791no—
943C2×C4×D4—791no—
944C2×C4×D4—791no—
945C2×C4×D4—791no—
946C2×C4×D4—794no—
947C2×C4×D4—792no—
948C2×C4×D4—792no—
949C2×#117—791no—
950C2×#117C2×D7911yescharacteristic, complemented
951C22×C22⋊C4—792no—
952C22×C22⋊C4—792no—
953C25—792no—
954H(5,𝔽2)—15816no—
955C2×#41—794no—
956C2×#41—794no—
957C2×#41—794no—
958C2×#41—798no—
959C2×#41—792no—
960C2×#41—794no—
961C2×#41C22×D7912yes—
962C22×Q8—794no—
963C22×D4—798no—
964C22×D4—798no—
965C22×D4—794no—
966C22×D4—798no—
967C22×D4—794no—
968C22×D4—791no—
969C22×D4—792no—
970C22×D4—791no—
971C22×D4—794no—
972C22×D4—794no—
973C22×D4—794no—
974C22×D4—1588no—
975C23×C4—792no—
976C23×C4—792no—
977C23×C4—792no—
978C23×C4—792no—
979C23×C4—798no—
980C23×C4C22×D7911yescharacteristic
981C4⋊Q8—792no—
982C4⋊Q8—794no—
983C4⋊Q8—792no—
984C4⋊Q8—792no—
985C4⋊Q8C22×D7914yescomplemented
986#127—794no—
987#127—792no—
988#127—794no—
989#126—798no—
990#126—798no—
991#126—798no—
992#126—794no—
993#126—794no—
994#126—794no—
995#126—794no—
996#126—798no—
997#126—794no—
998#126—794no—
999#126—794no—
1000#126—794no—
1001#126—798no—
1002#126—798no—
1003#126C22×D7918yes—
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#125C22×D7914yescomplemented
1014#125C22×D7914yescomplemented
1015#124—798no—
1016#124—794no—
1017#124—792no—
1018#124—794no—
1019#124—794no—
1020#124—792no—
1021#124—794no—
1022#124—798no—
1023#124—798no—
1024#124—798no—
1025#124—794no—
1026#124—798no—
1027#124—794no—
1028#124—794no—
1029#124C22×D7918yes—
1030#124C22×D7914yescomplemented
1031#123—794no—
1032#123—794no—
1033#123—798no—
1034#123—794no—
1035#123—798no—
1036#123—798no—
1037#123—798no—
1038#123—798no—
1039#123—798no—
1040#123—798no—
1041#123—798no—
1042#123—794no—
1043#123—798no—
1044#123—798no—
1045#123—794no—
1046#123—794no—
1047#123—798no—
1048#123—798no—
1049#123—798no—
1050#123—794no—
1051#123—794no—
1052#123—794no—
1053#123C22×D7918yes—
1054#123C22×D7914yes—
1055C22⋊Q8—794no—
1056C22⋊Q8—794no—
1057C22⋊Q8—798no—
1058C22⋊Q8—794no—
1059C22⋊Q8—792no—
1060C22⋊Q8—792no—
1061C22⋊Q8—794no—
1062C22⋊Q8—798no—
1063C22⋊Q8—794no—
1064C22⋊Q8—798no—
1065C22⋊Q8—798no—
1066C22⋊Q8—798no—
1067C22⋊Q8—794no—
1068C22⋊Q8—794no—
1069C22⋊Q8—798no—
1070C22⋊Q8—794no—
1071C22⋊Q8—794no—
1072C22⋊Q8—794no—
1073C22⋊Q8—794no—
1074C22⋊Q8—794no—
1075C22⋊Q8C22×D7914yes—
1076C22⋊Q8C22×D7912yes—
1077C22⋊Q8C22×D7912yes—
1078C22⋊Q8C22×D7914yescomplemented
1079#121—794no—
1080#121—794no—
1081#121—794no—
1082#121—798no—
1083#121—794no—
1084#121—794no—
1085#121—794no—
1086#121—794no—
1087#121—794no—
1088#121—794no—
1089#121—798no—
1090#121—792no—
1091#121—792no—
1092#121—794no—
1093#121—794no—
1094#121—798no—
1095#121—794no—
1096#121—798no—
1097#121—794no—
1098#121—798no—
1099#121—794no—
1100#121—794no—
1101#121—794no—
1102#121—798no—
1103#121—798no—
1104#121—798no—
1105#121—798no—
1106#121—798no—
1107#121—798no—
1108#121C22×D7914yes—
1109#121C22×D7918yes—
1110#121C22×D7912yes—
1111#121C22×D7912yes—
1112#121C22×D7914yescomplemented
1113#120—794no—
1114#120—798no—
1115#120—798no—
1116#120—798no—
1117#120—798no—
1118#120—798no—
1119#120—798no—
1120#120—798no—
1121#120—798no—
1122#120—798no—
1123#120—798no—
1124#120C22×D7914yes—
1125C4×Q8—792no—
1126C4×Q8—792no—
1127C4×Q8—792no—
1128C4×Q8—792no—
1129C4×Q8—794no—
1130C4×Q8—794no—
1131C4×Q8—794no—
1132C4×Q8—794no—
1133C4×Q8C22×D7914yescomplemented
1134C4×Q8C22×D7914yescomplemented
1135C4×D4—794no—
1136C4×D4—792no—
1137C4×D4—794no—
1138C4×D4—792no—
1139C4×D4—798no—
1140C4×D4—798no—
1141C4×D4—798no—
1142C4×D4—798no—
1143C4×D4—794no—
1144C4×D4—794no—
1145C4×D4—794no—
1146C4×D4—794no—
1147C4×D4—794no—
1148C4×D4—794no—
1149C4×D4—798no—
1150C4×D4—792no—
1151C4×D4—794no—
1152C4×D4—794no—
1153C4×D4—794no—
1154C4×D4—794no—
1155C4×D4—794no—
1156C4×D4—794no—
1157C4×D4—794no—
1158C4×D4—798no—
1159C4×D4—794no—
1160C4×D4—792no—
1161C4×D4—794no—
1162C4×D4—798no—
1163C4×D4—794no—
1164C4×D4—798no—
1165C4×D4—794no—
1166C4×D4—798no—
1167C4×D4—798no—
1168C4×D4—798no—
1169C4×D4—798no—
1170C4×D4—794no—
1171C4×D4—794no—
1172C4×D4—794no—
1173C4×D4—794no—
1174C4×D4—798no—
1175C4×D4—794no—
1176C4×D4—794no—
1177C4×D4—798no—
1178C4×D4—798no—
1179C4×D4—794no—
1180C4×D4C22×D7918yes—
1181C4×D4C22×D7914yes—
1182C4×D4C22×D7914yes—
1183C4×D4C22×D7914yescomplemented
1184C4×D4C22×D7914yescomplemented
1185#117—792no—
1186#117—792no—
1187#117—792no—
1188#117—792no—
1189#117—792no—
1190#117—794no—
1191#117—798no—
1192#117—794no—
1193#117—794no—
1194#117—794no—
1195#117—794no—
1196#117—798no—
1197#117—798no—
1198#117—798no—
1199#117C22×D7914yes—
1200#117C22×D7914yes—
1201#117C22×D7912yes—
1202#117C22×D7914yescomplemented
1203#117C22×D7918yescomplemented
1204C2×C4⋊C4—791no—
1205C2×C4⋊C4—791no—
1206C2×C4⋊C4—798no—
1207C2×C4⋊C4—794no—
1208C2×C4⋊C4—798no—
1209C2×C4⋊C4—794no—
1210C2×C4⋊C4—794no—
1211C2×C4⋊C4C22×D7911yescharacteristic
1212C2×C4⋊C4C22×D7911yescharacteristic
1213C2×C4⋊C4C22×D7914yescomplemented
1214C2×C22⋊C4—791no—
1215C2×C22⋊C4—791no—
1216C2×C22⋊C4—792no—
1217C2×C22⋊C4—792no—
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—791no—
1233C2×C42—791no—
1234C2×C42—794no—
1235C2×C42—798no—
1236C2×C42—794no—
1237C2×C42C22×D7912yes—
1238C24—792no—
1239C24—798no—
1240C24—798no—
1241C24—792no—
1242C24—6322no—
1243C24—6322no—
1244C24—1588no—
1245C24C23×D7911yescharacteristic
1246#41—28no—
1247#41—6328no—
1248#41—6324no—
1249#41—6324no—
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—794no—
1261C2×D4—794no—
1262C2×D4—798no—
1263C2×D4—794no—
1264C2×D4—798no—
1265C2×D4—794no—
1266C2×D4—798no—
1267C2×D4—794no—
1268C2×D4—798no—
1269C2×D4—798no—
1270C2×D4—798no—
1271C2×D4—794no—
1272C2×D4—794no—
1273C2×D4—798no—
1274C2×D4—794no—
1275C2×D4—794no—
1276C2×D4—794no—
1277C2×D4—792no—
1278C2×D4—6328no—
1279C2×D4—6324no—
1280C2×D4—6328no—
1281C2×D4—15816no—
1282C2×D4—15816no—
1283C2×D4—15816no—
1284C2×D4—1588no—
1285C2×D4—15816no—
1286C2×D4—15832no—
1287C2×D4—1584no—
1288C2×D4C23×D7914yes—
1289C2×D4C23×D7912yes—
1290C2×D4C23×D7914yes—
1291C2×D4C23×D7914yes—
1292C2×D4C23×D7914yes—
1293C22×C4—24no—
1294C22×C4—791no—
1295C22×C4—791no—
1296C22×C4—791no—
1297C22×C4—791no—
1298C22×C4—794no—
1299C22×C4—794no—
1300C22×C4—798no—
1301C22×C4—798no—
1302C22×C4—794no—
1303C22×C4—794no—
1304C22×C4—794no—
1305C22×C4—798no—
1306C22×C4—794no—
1307C22×C4—794no—
1308C22×C4—794no—
1309C22×C4—798no—
1310C22×C4—798no—
1311C22×C4—798no—
1312C22×C4—794no—
1313C22×C4—6322no—
1314C22×C4—6322no—
1315C22×C4—6322no—
1316C22×C4—6322no—
1317C22×C4—6328no—
1318C22×C4C23×D7914yes—
1319C22×C4C23×D7911yescharacteristic
1320C22×C4C23×D7912yes—
1321C22×C4C23×D7912yes—
1322C22×C4C23×D7912yes—
1323C22×C4C23×D7912yes—
1324C22×C4C23×D7918yes—
1325C22×C4C23×D7911yescharacteristic
1326C4⋊C4—794no—
1327C4⋊C4—798no—
1328C4⋊C4—794no—
1329C4⋊C4—794no—
1330C4⋊C4—794no—
1331C4⋊C4—798no—
1332C4⋊C4—794no—
1333C4⋊C4—794no—
1334C4⋊C4—794no—
1335C4⋊C4—794no—
1336C4⋊C4—794no—
1337C4⋊C4—794no—
1338C4⋊C4—792no—
1339C4⋊C4—794no—
1340C4⋊C4—794no—
1341C4⋊C4—791no—
1342C4⋊C4—791no—
1343C4⋊C4—792no—
1344C4⋊C4—792no—
1345C4⋊C4—791no—
1346C4⋊C4—791no—
1347C4⋊C4—794no—
1348C4⋊C4—794no—
1349C4⋊C4—792no—
1350C4⋊C4—794no—
1351C4⋊C4—794no—
1352C4⋊C4C23×D7914yes—
1353C4⋊C4C23×D7918yes—
1354C4⋊C4C23×D7914yes—
1355C4⋊C4C23×D7914yes—
1356C4⋊C4C23×D7918yes—
1357C4⋊C4C23×D7914yes—
1358C4⋊C4C23×D7912yes—
1359C4⋊C4C23×D7912yes—
1360C4⋊C4C23×D7914yes—
1361C4⋊C4C23×D7914yes—
1362C22⋊C4—792no—
1363C22⋊C4—792no—
1364C22⋊C4—792no—
1365C22⋊C4—792no—
1366C22⋊C4—794no—
1367C22⋊C4—794no—
1368C22⋊C4—794no—
1369C22⋊C4—794no—
1370C22⋊C4—794no—
1371C22⋊C4—794no—
1372C22⋊C4—794no—
1373C22⋊C4—794no—
1374C22⋊C4—794no—
1375C22⋊C4—798no—
1376C22⋊C4—794no—
1377C22⋊C4—798no—
1378C22⋊C4—794no—
1379C22⋊C4—798no—
1380C22⋊C4—798no—
1381C22⋊C4—794no—
1382C22⋊C4—794no—
1383C22⋊C4—798no—
1384C22⋊C4—794no—
1385C22⋊C4—798no—
1386C22⋊C4—798no—
1387C22⋊C4—798no—
1388C22⋊C4—798no—
1389C22⋊C4—798no—
1390C22⋊C4—794no—
1391C22⋊C4—794no—
1392C22⋊C4—794no—
1393C22⋊C4C23×D7918yes—
1394C22⋊C4C23×D7914yes—
1395C22⋊C4C23×D7918yes—
1396C22⋊C4C23×D7914yes—
1397C22⋊C4C23×D7914yes—
1398C22⋊C4C23×D7918yes—
1399C22⋊C4C23×D7914yes—
1400C22⋊C4C23×D7914yes—
1401C42—792no—
1402C42—792no—
1403C42—794no—
1404C42—794no—
1405C42—794no—
1406C42—794no—
1407C42—798no—
1408C42—792no—
1409C42—792no—
1410C42—794no—
1411C42C23×D7918yes—
1412C42C23×D7914yes—
1413C42C23×D7914yes—
1414C42C23×D7914yes—
1415C23—22no—
1416C23—41no—
1417C23—41no—
1418C23—3162no—
1419C23—3162no—
1420C23—3162no—
1421C23—3162no—
1422C23—3168no—
1423C23—3168no—
1424C23—3168no—
1425C23—3168no—
1426C23—798no—
1427C23—794no—
1428C23—794no—
1429C23—794no—
1430C23—63216no—
1431C23—15816no—
1432C23—15816no—
1433C23—1584no—
1434C23C24×D7912yes—
1435C23C24×D7914yes—
1436C23C24×D7911yescharacteristic
1437Q8—24no—
1438Q8—44no—
1439Q8—3164no—
1440Q8—3164no—
1441Q8—3164no—
1442Q8—1584no—
1443D4—28no—
1444D4—24no—
1445D4—44no—
1446D4—44no—
1447D4—44no—
1448D4—3168no—
1449D4—3164no—
1450D4—3168no—
1451D4—3164no—
1452D4—3164no—
1453D4—3164no—
1454D4—3168no—
1455D4—3168no—
1456D4—3164no—
1457D4—7916no—
1458D4—1588no—
1459D4—1588no—
1460D4—15816no—
1461D4—15816no—
1462D4—1588no—
1463D4—1588no—
1464D4—1584no—
1465C2×C4—22no—
1466C2×C4—24no—
1467C2×C4—24no—
1468C2×C4—28no—
1469C2×C4—42no—
1470C2×C4—42no—
1471C2×C4—48no—
1472C2×C4—3168no—
1473C2×C4—3164no—
1474C2×C4—3168no—
1475C2×C4—3164no—
1476C2×C4—3164no—
1477C2×C4—3168no—
1478C2×C4—3168no—
1479C2×C4—3164no—
1480C2×C4—3164no—
1481C2×C4—3168no—
1482C2×C4—3164no—
1483C2×C4—3161no—
1484C2×C4—3161no—
1485C2×C4—3164no—
1486C2×C4—3161no—
1487C2×C4—3161no—
1488C2×C4—3164no—
1489C2×C4—792no—
1490C2×C4—791no—
1491C2×C4—791no—
1492C2×C4—794no—
1493C2×C4—794no—
1494C2×C4—791no—
1495C2×C4—792no—
1496C2×C4—794no—
1497C2×C4—791no—
1498C2×C4—15816no—
1499C2×C4—1588no—
1500C2×C4#41×D7914yes—
1501C2×C4C24×D7914yes—
1502C2×C4C24×D7914yes—
1503C2×C4C24×D7914yes—
1504C2×C4C24×D7914yes—
1505C2×C4C24×D7911yescharacteristic
1506C2×C4C24×D7911yescharacteristic
1507C2×C4C24×D7914yes—
1508C2×C4C24×D7912yes—
1509C22—21no—
1510C22—21no—
1511C22—22no—
1512C22—24no—
1513C22—24no—
1514C22—24no—
1515C22—22no—
1516C22—22no—
1517C22—44no—
1518C22—3168no—
1519C22—3168no—
1520C22—798no—
1521C22—63216no—
1522C22—63216no—
1523C22—1584no—
1524C22—1584no—
1525C22—1584no—
1526C22—1584no—
1527C22—1584no—
1528C22—1584no—
1529C22—1584no—
1530C22—1584no—
1531C22C2×#41×D7912yes—
1532C22C25×D7911yescharacteristic
1533C4—21no—
1534C4—21no—
1535C4—24no—
1536C4—24no—
1537C4—24no—
1538C4—24no—
1539C4—24no—
1540C4—1584no—
1541C4—1582no—
1542C4—1581no—
1543C4—1581no—
1544C4—1581no—
1545C4—1584no—
1546C4—1582no—
1547C4—1581no—
1548C4—1584no—
1549C4C2×#41×D7914yes—
1550C2—22no—
1551C2—42no—
1552C2—44no—
1553C2—3164no—
1554C2—3164no—
1555C2—1588no—
1556C2C22×#41×D7911yescharacteristic
1557C2#2377821111yescharacteristic
1558C2#2377821111yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3493C2
hypercenter#3493D79
hypocenterC79#62846
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3493

Complements

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

NH ≅ G/Ntype
1. #23777475C2semidirect
2. #23777473C2semidirect
3. #23777435C2semidirect
4. #23777428C2semidirect
5. #23777364C2semidirect
6. #23777357C2semidirect
7. #23777347C2semidirect
8. #23777345C2semidirect
9. #23777245C2semidirect
10. #23777235C2semidirect
11. #23777202C2semidirect
12. #23777163C2semidirect
13. #23777120C2semidirect
14. #23777086C2semidirect
15. #23777033C2semidirect
16. #23776823C2semidirect
17. #23776817C2semidirect
18. #23776810C2semidirect
19. #23776788C2semidirect
20. #538×D79C2semidirect
21. #23776606C2semidirect
22. C2×#19099037C2semidirect
23. C79×#3493C2semidirect
26. #19099298C22semidirect
27. #19099296C22semidirect
28. #19099285C22semidirect
29. #19099281C22semidirect
30. #19099276C22semidirect
31. #19099276C22semidirect
32. #19099274C22semidirect
33. #19099269C22semidirect
34. #19099269C22semidirect
35. #19099266C22semidirect
36. #19099264C22semidirect
37. #19099263C22semidirect
38. #19099261C22semidirect
39. #19099257C22semidirect
40. #19099257C22semidirect
41. #19099257C22semidirect
42. #19099254C22semidirect
43. #19099252C22semidirect
44. #19099251C22semidirect
45. #19099243C22semidirect
46. #19099241C22semidirect
47. #19099238C22semidirect
48. #19099238C22semidirect
49. #19099238C22semidirect
50. #19099237C22semidirect
51. #19099234C22semidirect
52. #19099228C22semidirect
53. #19099225C22semidirect
54. #19099221C22semidirect
55. #19099215C22semidirect
56. #19099214C22semidirect
57. #19099210C22semidirect
58. #19099210C22semidirect
59. #19099209C22semidirect
60. #19099209C22semidirect
61. #19099208C22semidirect
62. #19099206C22semidirect
63. #19099206C22semidirect
64. #19099205C22semidirect
65. #19099204C22semidirect
66. #19099204C22semidirect
67. #19099204C22semidirect
68. #19099202C22semidirect
69. D4×D316C22semidirect
70. D4×D316C22semidirect
71. #19099197C22semidirect
72. #19099197C22semidirect
73. #19099197C22semidirect
74. #19099194C22semidirect
75. #19099188C22semidirect
76. #19099187C22semidirect
77. #19099186C22semidirect
78. #19099186C22semidirect
79. #19099186C22semidirect
80. #19099180C22semidirect
81. #19099180C22semidirect
82. #19099173C22semidirect
83. #19099173C22semidirect
84. #19099169C22semidirect
85. #19099166C22semidirect
86. #19099166C22semidirect
87. #19099166C22semidirect
88. #19099161C22semidirect
89. #19099157C22semidirect
90. #19099157C22semidirect
91. #19099154C22semidirect
92. #19099153C22semidirect
93. #19099152C22semidirect
94. #19099152C22semidirect
95. #19099151C22semidirect
96. #19099150C22semidirect
97. #19099149C22semidirect
98. #19099148C22semidirect
99. #19099148C22semidirect
100. #19099147C22semidirect
101. #19099147C22semidirect
102. #19099146C22semidirect
103. #19099145C22semidirect
104. #19099144C22semidirect
105. #19099132C22semidirect
106. #19099127C22semidirect
107. #19099124C22semidirect
108. #19099121C22semidirect
109. #19099116C22semidirect
110. #19099114C22semidirect
111. #19099109C22semidirect
112. #19099108C22semidirect
113. #19099100C22semidirect
114. #19099099C22semidirect
115. #19099098C22semidirect
116. #19099097C22semidirect
117. #19099095C22semidirect
118. #19099095C22semidirect
119. #19099093C22semidirect
120. #19099093C22semidirect
121. #19099091C22semidirect
122. #126×D79C22semidirect
123. #124×D79C22semidirect
124. #19099076C22semidirect
125. #19099075C22semidirect
126. #19099074C22semidirect
127. #19099073C22semidirect
128. #19099072C22semidirect
129. #19099072C22semidirect
130. #123×D79C22semidirect
131. C22⋊Q8×D79C22semidirect
132. #121×D79C22semidirect
133. #121×D79C22semidirect
134. #120×D79C22semidirect
135. #19099045C22semidirect
136. #19099044C22semidirect
137. #19099044C22semidirect
139. #19099037C22semidirect
140. #19099037C22semidirect
141. #19099037C22semidirect
142. #19099037C22semidirect
143. #19099037C22semidirect
144. #19099035C22semidirect
145. #19099035C22semidirect
146. #41×Dic79C22semidirect
147. C4×#11929625C22semidirect
148. #19099031C22semidirect
149. #19099031C22semidirect
150. C2×C4×D316C22semidirect
151. C2×C4×D316C22semidirect
154. C2×#14579123C22semidirect
155. C2×#14579123C22semidirect
156. C2×#14579123C22semidirect
157. C4×D4×D79C22semidirect
158. C4×D4×D79C22semidirect
159. C2×#14579120C22semidirect
160. C2×C22⋊C4×D79C22semidirect
161. C2×C22⋊C4×D79C22semidirect
162. #556×C79C22semidirect
163. #555×C79C22semidirect
164. #553×C79C22semidirect
165. #552×C79C22semidirect
166. #544×C79C22semidirect
167. #538×C79C22semidirect
168. #537×C79C22semidirect
169. #529×C79C22semidirect
170. #525×C79C22semidirect
171. #520×C79C22semidirect
172. C2×#117×C79C22semidirect
176. C2×#11929625C23semidirect
179. C2×#11929624C23semidirect
180. C2×#11929623C23semidirect
181. C2×Q8×D79C23semidirect
193. C2×D4×D79C23semidirect
198. C22×C4×D79C23semidirect
199. #14579160C23semidirect
200. #14579160C23semidirect
201. #14579160C23semidirect
202. #14579159C23semidirect
205. #14579157C23semidirect
206. #14579156C23semidirect
207. #14579156C23semidirect
208. #14579156C23semidirect
209. #14579156C23semidirect
210. #14579156C23semidirect
211. #14579155C23semidirect
212. #14579155C23semidirect
218. #14579154C23semidirect
219. #14579154C23semidirect
220. #14579153C23semidirect
221. #14579152C23semidirect
222. #14579152C23semidirect
223. #14579152C23semidirect
224. #14579152C23semidirect
225. #14579152C23semidirect
226. #14579151C23semidirect
227. #14579151C23semidirect
229. #14579150C23semidirect
230. #14579150C23semidirect
232. #14579149C23semidirect
233. #14579149C23semidirect
236. #14579148C23semidirect
240. #14579147C23semidirect
241. #14579147C23semidirect
244. #14579146C23semidirect
245. #14579146C23semidirect
246. #14579146C23semidirect
247. #14579146C23semidirect
248. #14579146C23semidirect
249. #14579145C23semidirect
250. #14579145C23semidirect
251. #14579145C23semidirect
253. #14579144C23semidirect
257. #14579143C23semidirect
258. #14579143C23semidirect
259. #14579143C23semidirect
260. #14579143C23semidirect
261. #14579143C23semidirect
264. #14579141C23semidirect
265. #14579141C23semidirect
266. #14579141C23semidirect
267. #14579141C23semidirect
268. #14579141C23semidirect
269. #14579141C23semidirect
273. #14579139C23semidirect
274. #14579139C23semidirect
275. #14579139C23semidirect
276. #14579139C23semidirect
279. #14579138C23semidirect
280. #14579138C23semidirect
281. #14579137C23semidirect
282. #14579137C23semidirect
283. #14579137C23semidirect
288. #14579136C23semidirect
289. #14579136C23semidirect
290. #14579136C23semidirect
291. #14579136C23semidirect
297. #14579135C23semidirect
301. #14579134C23semidirect
302. #14579134C23semidirect
303. #14579134C23semidirect
308. #14579133C23semidirect
311. #14579132C23semidirect
312. #14579132C23semidirect
318. #14579131C23semidirect
323. #14579129C23semidirect
324. Q8×Dic79C23semidirect
325. Q8×Dic79C23semidirect
326. C4×Dic158C23semidirect
327. C4×Dic158C23semidirect
328. C4×Dic158C23semidirect
329. #14579126C23semidirect
330. #14579126C23semidirect
331. #14579126C23semidirect
340. C4×D316C23semidirect
341. C4×D316C23semidirect
342. C4×D316C23semidirect
343. C4×D316C23semidirect
346. D4×Dic79C23semidirect
347. D4×Dic79C23semidirect
358. #14579123C23semidirect
359. #14579123C23semidirect
360. #14579123C23semidirect
361. #14579123C23semidirect
362. #14579123C23semidirect
363. #14579123C23semidirect
367. C4×C22⋊D79C23semidirect
368. C4×C22⋊D79C23semidirect
369. C4×C22⋊D79C23semidirect
370. C4×C22⋊D79C23semidirect
371. C4×C22⋊D79C23semidirect
374. (C22⋊D79)⋊C4C23semidirect
375. (C22⋊D79)⋊C4C23semidirect
376. (C22⋊D79)⋊C4C23semidirect
382. #14579120C23semidirect
383. #14579119C23semidirect
384. #14579119C23semidirect
385. #14579119C23semidirect
386. #14579119C23semidirect
387. #14579118C23semidirect
388. #14579118C23semidirect
389. #14579118C23semidirect
390. #14579118C23semidirect
393. C4⋊C4×D79C23semidirect
394. C4⋊C4×D79C23semidirect
395. C4⋊C4×D79C23semidirect
396. C4⋊C4×D79C23semidirect
397. C4⋊C4×D79C23semidirect
404. C2×(C2×D79)⋊C4C23semidirect
412. C22⋊C4×D79C23semidirect
413. C22⋊C4×D79C23semidirect
414. C22⋊C4×D79C23semidirect
417. C2×C4×Dic79C23semidirect
418. C42×D79C23semidirect
419. C42×D79C23semidirect
422. C4⋊Q8×C79C23semidirect
424. #126×C79C23semidirect
425. #125×C79C23semidirect
426. #125×C79C23semidirect
428. #124×C79C23semidirect
434. C22⋊Q8×C79C23semidirect
439. #121×C79C23semidirect
441. C4×Q8×C79C23semidirect
442. C4×Q8×C79C23semidirect
446. C4×D4×C79C23semidirect
447. C4×D4×C79C23semidirect
451. #117×C79C23semidirect
452. #117×C79C23semidirect
455. C2×C4⋊C4×C79C23semidirect
481. C2×D316#41semidirect
793. #3493D79semidirect
803. C79#62846semidirect
810. #556C2×D79semidirect
813. #555C2×D79semidirect
824. #553C2×D79semidirect
828. #552C2×D79semidirect
859. #544C2×D79semidirect
889. #538C2×D79semidirect
891. #537C2×D79semidirect
909. #529C2×D79semidirect
918. #525C2×D79semidirect
927. #520C2×D79semidirect
950. C2×#117C2×D79semidirect
985. C4⋊Q8C22×D79semidirect
1004. #126C22×D79semidirect
1013. #125C22×D79semidirect
1014. #125C22×D79semidirect
1030. #124C22×D79semidirect
1078. C22⋊Q8C22×D79semidirect
1112. #121C22×D79semidirect
1133. C4×Q8C22×D79semidirect
1134. C4×Q8C22×D79semidirect
1183. C4×D4C22×D79semidirect
1184. C4×D4C22×D79semidirect
1202. #117C22×D79semidirect
1203. #117C22×D79semidirect
1213. C2×C4⋊C4C22×D79semidirect

Maximal subgroups

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

subgroupindex
#237774752
#237774732
#237774352
#237774282
#237773642
#237773572
#237773472
#237773452
#237772452
#237772352
#237772022
#237771632
#237771202
#237770862
#237770332
#237768232
#237768172
#237768102
#237767882
#538×D792
#237766062
C2×#190990372
C79×#34932
#6284679