Finite Group Databasebeta

← C2×#23777553 #35195387

Subgroups — C2×#23777553 #35195387

Order 20224.

9542 conjugacy classes of subgroups.

The subgroup lattice has 1336 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777553C2132yesmaximal, direct product factor
2C2×#19099306C211yesmaximal, characteristic, complemented
3C2×#19099302C212yesmaximal, complemented
4C2×#19099241C211yesmaximal, characteristic, complemented
5C2×#19099238C212yesmaximal, complemented
6C2×#19099210C212yesmaximal, complemented
7C2×#19099205C212yesmaximal, complemented
8C2×#19099202C212yesmaximal, complemented
9C2×#19099198C211yesmaximal, characteristic, complemented
10C2×#19099197C212yesmaximal, complemented
11C2×#19099152C212yesmaximal, complemented
12C2×#19099149C212yesmaximal, complemented
13C2×#19099145C212yesmaximal, complemented
14C2×#19099129C212yesmaximal, complemented
15C2×#19099126C211yesmaximal, characteristic, complemented
16C2×#19099124C211yesmaximal, characteristic, complemented
17C2×#19099121C212yesmaximal, complemented
18C2×#120×D79C211yesmaximal, characteristic, complemented
19C2×#120×D79C212yesmaximal, complemented
20C2×#560×C79C211yesmaximal, characteristic, complemented
21C25×D79C2211yescharacteristic, complemented
22C22×#11929624C2212yescomplemented
23C22×#11929623C2211yescharacteristic, complemented
24C23×D316C2211yescharacteristic, complemented
25C22×D4×D79C2212yescomplemented
26C22×D4×D79C2212yescomplemented
27C22×D4×D79C2212yescomplemented
28C22×D4×D79C2212yescomplemented
29C22×D4×D79C2211yescharacteristic, complemented
30C22×D4×D79C2212yescomplemented
31#19099306C22116yescomplemented
32#19099302C22132yescomplemented
33#19099241C22116yescomplemented
34#19099238C22132yescomplemented
35#19099210C22132yescomplemented
36#19099205C22132yescomplemented
37#19099202C22132yescomplemented
38#19099198C22116yescomplemented
39#19099197C22132yescomplemented
40#19099152C22132yescomplemented
41#19099149C22132yescomplemented
42#19099145C22132yescomplemented
43#19099129C22132yescomplemented
44#19099126C22116yescomplemented
45#19099124C22116yescomplemented
46#19099121C22132yescomplemented
47C2×#14579157C2212yescomplemented
48C2×#14579157C2211yescharacteristic, complemented
49C2×#14579156C2212yescomplemented
50C2×#14579154C2212yescomplemented
51C2×#14579154C2212yescomplemented
52C2×#14579149C2211yescharacteristic, complemented
53C2×#14579148C2212yescomplemented
54C2×#14579148C2211yescharacteristic, complemented
55C2×#14579147C2212yescomplemented
56C2×#14579147C2212yescomplemented
57C2×#14579147C2212yescomplemented
58C2×#14579147C2212yescomplemented
59C2×#14579146C2212yescomplemented
60C2×#14579146C2212yescomplemented
61C2×#14579146C2212yescomplemented
62C2×#14579144C2211yescharacteristic, complemented
63C2×#14579143C2212yescomplemented
64C2×#14579143C2212yescomplemented
65C2×#14579143C2212yescomplemented
66C2×#14579142C2212yescomplemented
67C2×#14579141C2212yescomplemented
68C2×#14579139C2212yescomplemented
69C2×#14579139C2212yescomplemented
70C2×#14579136C2212yescomplemented
71C2×#14579136C2212yescomplemented
72C2×#14579135C2212yescomplemented
73C2×#14579134C2212yescomplemented
74C2×#14579134C2212yescomplemented
75C2×#14579134C2212yescomplemented
76C2×#14579133C2212yescomplemented
77C2×#14579133C2212yescomplemented
78C2×#14579133C2212yescomplemented
79C2×#14579132C2212yescomplemented
80C2×#14579132C2212yescomplemented
81C2×#14579132C2212yescomplemented
82C2×#14579131C2212yes—
83C2×#14579131C2211yescharacteristic, complemented
84C2×#14579131C2212yescomplemented
85C2×#14579131C2212yescomplemented
86C2×#14579131C2212yescomplemented
87C2×#14579131C2212yescomplemented
88C2×#14579131C2211yescharacteristic, complemented
89C2×#14579130C2211yescharacteristic, complemented
90C2×#14579130C2212yescomplemented
91C2×#14579129C2211yescharacteristic
92C2×#14579129C2212yescomplemented
93C2×#14579129C2212yescomplemented
94C2×#14579129C2212yescomplemented
95C2×#14579129C2212yescomplemented
96C2×#14579129C2212yescomplemented
97C2×#14579129C2212yescomplemented
98C2×#14579129C2212yescomplemented
99C2×#14579129C2211yescharacteristic, complemented
100#120×D79C22116yescomplemented
101#120×D79C22132yescomplemented
102C2×C4×D316C2212yescomplemented
103C2×#14579123C2212yescomplemented
104C2×#14579123C2212yescomplemented
105C2×C4×C22⋊D79C2212yescomplemented
106C2×C4×C22⋊D79C2212yescomplemented
107C2×(C22⋊D79)⋊C4C2212yescomplemented
108C2×#14579119C2212yescomplemented
109C2×#14579118C2211yescharacteristic, complemented
110C22×(C2×D79)⋊C4C2212yescomplemented
111C2×C22⋊C4×D79C2212yescomplemented
112C2×C22⋊C4×D79C2212yescomplemented
113C2×C22⋊C4×D79C2212yescomplemented
114C2×C22⋊C4×D79C2212yescomplemented
115C2×C22⋊C4×D79C2211yescharacteristic, complemented
116C2×C22⋊C4×D79C2211yescharacteristic, complemented
117#560×C79C22116yescomplemented
118C2×#127×C79C2211yescharacteristic, complemented
119C2×#126×C79C2212yescomplemented
120C2×#123×C79C2212yescomplemented
121C2×#123×C79C2211yescharacteristic, complemented
122C2×#121×C79C2212yescomplemented
123C2×#121×C79C2212yescomplemented
124C2×#121×C79C2212yescomplemented
125C2×#120×C79C2212yescomplemented
126C2×#120×C79C2211yescharacteristic, complemented
127C24×D79—48no—
128C24×D79—44no—
129C24×D79C2311yescharacteristic
130C24×D79C2312yes—
131C24×D79C2312yes—
132C24×D79C2311yescharacteristic
133C24×D79C2311yescharacteristic
134C24×D79C2312yes—
135C24×D79C2318yescomplemented
136C24×D79C2311yescharacteristic, complemented
137C2×#11929624—48no—
138C2×#11929624C23116yescomplemented
139C2×#11929623—44no—
140C2×#11929623C2318yescomplemented
141C22×Dic158C2311yescharacteristic, complemented
142C22×Dic158C2312yescomplemented
143C22×D316—44no—
144C22×D316C2312yes—
145C22×D316C2312yes—
146C22×D316C2312yes—
147C22×D316C2312yes—
148C22×D316C2311yescharacteristic
149C22×D316C2318yescomplemented
150C22×D316C2312yescomplemented
151C22×C22⋊D79C2312yes—
152C22×C22⋊D79C2312yes—
153C22×C22⋊D79C2312yes—
154C22×C22⋊D79C2311yescharacteristic
155C22×C22⋊D79C2312yes—
156C22×C22⋊D79C2312yes—
157C22×C22⋊D79C2312yes—
158C22×C22⋊D79C2312yes—
159C22×C22⋊D79C2312yes—
160C22×C22⋊D79C2311yescharacteristic
161C22×C22⋊D79C2312yescomplemented
162C22×C22⋊D79C2312yescomplemented
163C2×D4×D79—44no—
164C2×D4×D79—48no—
165C2×D4×D79—48no—
166C2×D4×D79—48no—
167C2×D4×D79—48no—
168C2×D4×D79—48no—
169C2×D4×D79C23116yescomplemented
170C2×D4×D79C23116yescomplemented
171C2×D4×D79C23116yescomplemented
172C2×D4×D79C23116yescomplemented
173C2×D4×D79C2318yescomplemented
174C2×D4×D79C23116yescomplemented
175C23×Dic79C2312yescomplemented
176C22×C4×D79C2311yescharacteristic
177C22×C4×D79C2312yes—
178C22×C4×D79C2312yes—
179C22×C4×D79C2312yes—
180C22×C4×D79C2312yes—
181C22×C4×D79C2312yescomplemented
182C22×C4×D79C2312yescomplemented
183#14579157C2318yescomplemented
184#14579157C23116yescomplemented
185#14579156C23116yescomplemented
186#14579154C23116yescomplemented
187#14579154C23116yescomplemented
188#14579149C2318yescomplemented
189#14579148C23116yescomplemented
190#14579148C2318yescomplemented
191#14579147C23116yescomplemented
192#14579147C23116yescomplemented
193#14579147C23116yescomplemented
194#14579147C23116yescomplemented
195#14579146C23116yescomplemented
196#14579146C23116yescomplemented
197#14579146C23116yescomplemented
198#14579144C2318yescomplemented
199#14579143C23116yescomplemented
200#14579143C23116yescomplemented
201#14579143C23116yescomplemented
202#14579142C23116yescomplemented
203#14579141C23116yescomplemented
204#14579139C23116yescomplemented
205#14579139C23116yescomplemented
206#14579136C23116yescomplemented
207#14579136C23116yescomplemented
208#14579135C23116yescomplemented
209#14579134C23116yescomplemented
210#14579134C23116yescomplemented
211#14579134C23116yescomplemented
212#14579133C23116yescomplemented
213#14579133C23116yescomplemented
214#14579133C23116yescomplemented
215#14579132C23116yescomplemented
216#14579132C23116yescomplemented
217#14579132C23116yescomplemented
218#14579131C23116yes—
219#14579131C23116yescomplemented
220#14579131C23116yescomplemented
221#14579131C23116yescomplemented
222#14579131C2318yescomplemented
223#14579131C23116yescomplemented
224#14579131C2318yescomplemented
225#14579130C2318yescomplemented
226#14579130C23116yescomplemented
227#14579129C2318yes—
228#14579129C23116yescomplemented
229#14579129C23116yescomplemented
230#14579129C23116yescomplemented
231#14579129C23116yescomplemented
232#14579129C23116yescomplemented
233#14579129C23116yescomplemented
234#14579129C23116yescomplemented
235#14579129C2318yescomplemented
236C4×D316C23116yescomplemented
237#14579123C23116yescomplemented
238#14579123C23116yescomplemented
239C4×C22⋊D79C23116yescomplemented
240C4×C22⋊D79C23116yescomplemented
241(C22⋊D79)⋊C4C23116yescomplemented
242#14579119C23116yescomplemented
243#14579118C2318yescomplemented
244C2×C4⋊Dic79C2312yescomplemented
245C2×C4⋊Dic79C2312yescomplemented
246C2×Dic79⋊C4C2312yescomplemented
247C2×Dic79⋊C4C2312yescomplemented
248C2×Dic79⋊C4C2312yescomplemented
249C2×Dic79⋊C4C2312yescomplemented
250C2×C22⋊Dic79C2311yescharacteristic
251C2×C22⋊Dic79C2312yes—
252C2×C22⋊Dic79C2312yes—
253C2×C22⋊Dic79C2312yes—
254C2×C22⋊Dic79C2312yes—
255C2×C22⋊Dic79C2311yescharacteristic, complemented
256C2×C22⋊Dic79C2312yescomplemented
257C2×C22⋊Dic79C2312yescomplemented
258C2×(C2×D79)⋊C4C2312yes—
259C2×(C2×D79)⋊C4C2312yes—
260C2×(C2×D79)⋊C4C2312yes—
261C2×(C2×D79)⋊C4C2312yes—
262C2×(C2×D79)⋊C4C2312yes—
263C2×(C2×D79)⋊C4C2312yes—
264C2×(C2×D79)⋊C4C2312yes—
265C2×(C2×D79)⋊C4C2312yes—
266C2×(C2×D79)⋊C4C2312yes—
267C2×(C2×D79)⋊C4C23116yescomplemented
268C2×(C2×D79)⋊C4C2312yescomplemented
269C2×(C2×D79)⋊C4C2312yescomplemented
270C2×(C2×D79)⋊C4C2312yescomplemented
271C2×(C2×D79)⋊C4C2312yescomplemented
272C2×(C2×D79)⋊C4C2312yescomplemented
273C22⋊C4×D79C23116yescomplemented
274C22⋊C4×D79C2318yescomplemented
275C22⋊C4×D79C23116yescomplemented
276C22⋊C4×D79C23116yescomplemented
277C22⋊C4×D79C23116yescomplemented
278C22⋊C4×D79C2318yescomplemented
279C2×C4×Dic79C2311yescharacteristic, complemented
280C2×C4×Dic79C2312yescomplemented
281C2×C4×Dic79C2312yescomplemented
282C25×C79C2311yescharacteristic
283C22×D4×C79C2312yes—
284C22×D4×C79C2312yes—
285C22×D4×C79C2312yes—
286C22×D4×C79C2311yescharacteristic
287C22×D4×C79C2312yes—
288C22×D4×C79C2311yescharacteristic, complemented
289C22×D4×C79C2312yescomplemented
290C23×C4×C79C2312yescomplemented
291C23×C4×C79C2311yescharacteristic, complemented
292#127×C79C2318yescomplemented
293#126×C79C23116yescomplemented
294#123×C79C23116yescomplemented
295#123×C79C2318yescomplemented
296#121×C79C23116yescomplemented
297#121×C79C23116yescomplemented
298#121×C79C23116yescomplemented
299#120×C79C23116yescomplemented
300#120×C79C2318yescomplemented
301C2×C4⋊C4×C79C2312yescomplemented
302C2×C4⋊C4×C79C2312yescomplemented
303C2×C4⋊C4×C79C2312yescomplemented
304C2×C22⋊C4×C79C2312yes—
305C2×C22⋊C4×C79C2312yes—
306C2×C22⋊C4×C79C2312yes—
307C2×C22⋊C4×C79C2312yes—
308C2×C22⋊C4×C79C2311yescharacteristic
309C2×C22⋊C4×C79C2311yescharacteristic, complemented
310C2×C22⋊C4×C79C2312yescomplemented
311C2×C42×C79C2311yescharacteristic, complemented
312C23×D79—28no—
313C23×D79—28no—
314C23×D79—28no—
315C23×D79—24no—
316C23×D79—28no—
317C23×D79—28no—
318C23×D79—24no—
319C23×D79—432no—
320C23×D79—416no—
321C23×D79—42no—
322C23×D79—44no—
323C23×D79—44no—
324C23×D79—44no—
325C23×D79—44no—
326C23×D79—44no—
327C23×D79—44no—
328C23×D79—44no—
329C23×D79—44no—
330C23×D79—42no—
331C23×D79—464no—
332C23×D79C2411yescharacteristic
333C23×D79C2412yes—
334C23×D79C2411yescharacteristic
335C23×D79C2414yes—
336C23×D79C2418yes—
337C23×D79C2412yes—
338C23×D79C2411yescharacteristic
339C23×D79C2418yes—
340C23×D79C2414yes—
341C23×D79C2414yes—
342C23×D79C2418yes—
343C23×D79C2414yescomplemented
344#11929624—432no—
345#11929623—416no—
346C2×Dic158—42no—
347C2×Dic158—44no—
348C2×Dic158C2414yescomplemented
349C2×Dic158C2418yescomplemented
350C2×D316—28no—
351C2×D316—28no—
352C2×D316—28no—
353C2×D316—44no—
354C2×D316—42no—
355C2×D316—44no—
356C2×D316—416no—
357C2×D316C2418yes—
358C2×D316C2418yes—
359C2×D316C2418yes—
360C2×D316C2418yes—
361C2×D316C2414yes—
362C2×D316C2418yescomplemented
363C2×C22⋊D79—28no—
364C2×C22⋊D79—28no—
365C2×C22⋊D79—28no—
366C2×C22⋊D79—44no—
367C2×C22⋊D79—44no—
368C2×C22⋊D79—44no—
369C2×C22⋊D79—44no—
370C2×C22⋊D79—44no—
371C2×C22⋊D79—42no—
372C2×C22⋊D79—44no—
373C2×C22⋊D79—42no—
374C2×C22⋊D79—44no—
375C2×C22⋊D79C2418yes—
376C2×C22⋊D79C2418yes—
377C2×C22⋊D79C2418yes—
378C2×C22⋊D79C2414yes—
379C2×C22⋊D79C2418yes—
380C2×C22⋊D79C2418yes—
381C2×C22⋊D79C2418yes—
382C2×C22⋊D79C2418yes—
383C2×C22⋊D79C2418yes—
384C2×C22⋊D79C2414yes—
385C2×C22⋊D79C2418yescomplemented
386C2×C22⋊D79C2418yescomplemented
387D4×D79—432no—
388D4×D79—432no—
389D4×D79—432no—
390D4×D79—432no—
391D4×D79—432no—
392D4×D79—416no—
393C22×Dic79—44no—
394C22×Dic79C2412yes—
395C22×Dic79C2412yes—
396C22×Dic79C2412yes—
397C22×Dic79C2412yes—
398C22×Dic79C2411yescharacteristic
399C22×Dic79C2418yescomplemented
400C2×C4×D79—24no—
401C2×C4×D79—28no—
402C2×C4×D79—44no—
403C2×C4×D79—44no—
404C2×C4×D79—44no—
405C2×C4×D79—44no—
406C2×C4×D79—44no—
407C2×C4×D79C2414yes—
408C2×C4×D79C2418yes—
409C2×C4×D79C2418yes—
410C2×C4×D79C2418yes—
411C2×C4×D79C2418yes—
412C2×C4×D79C2418yescomplemented
413C2×C4×D79C2418yescomplemented
414C4⋊Dic79C2418yescomplemented
415C4⋊Dic79C2418yescomplemented
416Dic79⋊C4C2418yescomplemented
417Dic79⋊C4C2418yescomplemented
418Dic79⋊C4C2418yescomplemented
419Dic79⋊C4C2418yescomplemented
420C22⋊Dic79C2414yes—
421C22⋊Dic79C2418yes—
422C22⋊Dic79C2418yes—
423C22⋊Dic79C2418yes—
424C22⋊Dic79C2418yes—
425C22⋊Dic79C2414yescomplemented
426C22⋊Dic79C2418yescomplemented
427C22⋊Dic79C2418yescomplemented
428(C2×D79)⋊C4C2418yes—
429(C2×D79)⋊C4C2418yes—
430(C2×D79)⋊C4C2418yes—
431(C2×D79)⋊C4C2418yes—
432(C2×D79)⋊C4C2418yes—
433(C2×D79)⋊C4C2418yes—
434(C2×D79)⋊C4C2418yes—
435(C2×D79)⋊C4C2418yes—
436(C2×D79)⋊C4C2418yes—
437(C2×D79)⋊C4C2418yescomplemented
438(C2×D79)⋊C4C2418yescomplemented
439(C2×D79)⋊C4C2418yescomplemented
440(C2×D79)⋊C4C2418yescomplemented
441(C2×D79)⋊C4C2418yescomplemented
442C4×Dic79C2414yescomplemented
443C4×Dic79C2418yescomplemented
444C4×Dic79C2418yescomplemented
445C24×C79—44no—
446C24×C79—42no—
447C24×C79C2411yescharacteristic
448C24×C79C2412yes—
449C24×C79C2411yescharacteristic
450C24×C79C2412yes—
451C24×C79C2414yes—
452C2×D4×C79—42no—
453C2×D4×C79—44no—
454C2×D4×C79—42no—
455C2×D4×C79—44no—
456C2×D4×C79—44no—
457C2×D4×C79—44no—
458C2×D4×C79—44no—
459C2×D4×C79C2418yes—
460C2×D4×C79C2418yes—
461C2×D4×C79C2418yes—
462C2×D4×C79C2414yes—
463C2×D4×C79C2418yes—
464C2×D4×C79C2414yescomplemented
465C2×D4×C79C2418yescomplemented
466C22×C4×C79—44no—
467C22×C4×C79—42no—
468C22×C4×C79C2411yescharacteristic
469C22×C4×C79C2412yes—
470C22×C4×C79C2412yes—
471C22×C4×C79C2412yes—
472C22×C4×C79C2412yes—
473C22×C4×C79C2418yescomplemented
474C22×C4×C79C2414yescomplemented
475C4⋊C4×C79C2418yescomplemented
476C4⋊C4×C79C2418yescomplemented
477C4⋊C4×C79C2418yescomplemented
478C22⋊C4×C79C2418yes—
479C22⋊C4×C79C2418yes—
480C22⋊C4×C79C2418yes—
481C22⋊C4×C79C2418yes—
482C22⋊C4×C79C2414yes—
483C22⋊C4×C79C2414yescomplemented
484C22⋊C4×C79C2418yescomplemented
485C42×C79C2414yescomplemented
486C23×C79—24no—
487C23×C79—24no—
488C23×C79—24no—
489C23×C79—24no—
490C23×C79—22no—
491C23×C79—24no—
492C23×C79—24no—
493C23×C79—24no—
494C23×C79—24no—
495C23×C79—22no—
496C23×C79—48no—
497C23×C79—44no—
498C23×C79—416no—
499C23×C79C2512yes—
500C23×C79C2514yes—
501C23×C79C2512yes—
502C23×C79C2514yes—
503C23×C79C2511yescharacteristic
504C22×D79—24no—
505C22×D79—24no—
506C22×D79—24no—
507C22×D79—24no—
508C22×D79—24no—
509C22×D79—24no—
510C22×D79—24no—
511C22×D79—22no—
512C22×D79—24no—
513C22×D79—22no—
514C22×D79—216no—
515C22×D79—216no—
516C22×D79—216no—
517C22×D79—216no—
518C22×D79—28no—
519C22×D79—216no—
520C22×D79—28no—
521C22×D79—44no—
522C22×D79—48no—
523C22×D79—48no—
524C22×D79—48no—
525C22×D79—48no—
526C22×D79—416no—
527C22×D79—432no—
528C22×D79—48no—
529C22×D79—48no—
530C22×D79—48no—
531C22×D79—48no—
532C22×D79—44no—
533C22×D79—416no—
534C22×D79—432no—
535C22×D79—4128no—
536C22×D79—88no—
537C22×D79—816no—
538C22×D79—88no—
539C22×D79H(5,𝔽2)14yes—
540C22×D79H(5,𝔽2)18yes—
541C22×D79C2512yes—
542C22×D79C2514yes—
543C22×D79C2512yes—
544C22×D79C2512yes—
545C22×D79C2514yes—
546D4×C79—48no—
547D4×C79—48no—
548D4×C79—48no—
549D4×C79—44no—
550D4×C79—48no—
551D4×C79—48no—
552D4×C79—44no—
553C2×C4×C79—24no—
554C2×C4×C79—22no—
555C2×C4×C79—24no—
556C2×C4×C79—24no—
557C2×C4×C79—24no—
558C2×C4×C79—44no—
559C2×C4×C79—48no—
560C2×C4×C79C2512yes—
561C2×C4×C79C2514yes—
562C2×C4×C79C2514yes—
563C2×C4×C79C2514yes—
564C2×C4×C79C2514yes—
565C22⋊D79—216no—
566C22⋊D79—216no—
567C22⋊D79—216no—
568C22⋊D79—48no—
569C22⋊D79—48no—
570C22⋊D79—48no—
571C22⋊D79—48no—
572C22⋊D79—48no—
573C22⋊D79—44no—
574C22⋊D79—44no—
575C22⋊D79—48no—
576C22⋊D79—48no—
577C2×Dic79—22no—
578C2×Dic79—24no—
579C2×Dic79—24no—
580C2×Dic79—24no—
581C2×Dic79—24no—
582C2×Dic79—48no—
583C2×Dic79C2514yes—
584C2×Dic79C2514yes—
585C2×Dic79C2514yes—
586C2×Dic79C2514yes—
587C2×Dic79C2512yes—
588D316—216no—
589D316—216no—
590D316—216no—
591D316—48no—
592D316—44no—
593D316—48no—
594C4×D79—28no—
595C4×D79—216no—
596C4×D79—48no—
597C4×D79—48no—
598C4×D79—48no—
599C4×D79—48no—
600C4×D79—48no—
601Dic158—44no—
602Dic158—48no—
603C22×C79—24no—
604C22×C79—24no—
605C22×C79—24no—
606C22×C79—24no—
607C22×C79—22no—
608C22×C79—24no—
609C22×C79—24no—
610C22×C79—24no—
611C22×C79—24no—
612C22×C79—22no—
613C22×C79—416no—
614C22×C79—44no—
615C22×C79—48no—
616C22×C79—44no—
617C22×C79—48no—
618C22×C79C2×H(5,𝔽2)14yes—
619C22×C79C2×H(5,𝔽2)12yes—
620C22×C79C2611yescharacteristic
621C2×D79—24no—
622C2×D79—24no—
623C2×D79—24no—
624C2×D79—28no—
625C2×D79—216no—
626C2×D79—24no—
627C2×D79—24no—
628C2×D79—24no—
629C2×D79—22no—
630C2×D79—24no—
631C2×D79—22no—
632C2×D79—24no—
633C2×D79—416no—
634C2×D79—432no—
635C2×D79—416no—
636C2×D79—432no—
637C2×D79—44no—
638C2×D79—44no—
639C2×D79—48no—
640C2×D79—88no—
641C2×D79—816no—
642C2×D79—88no—
643C2×D79C2×H(5,𝔽2)18yes—
644C2×D79C2×H(5,𝔽2)14yes—
645C4×C79—24no—
646C4×C79—24no—
647C4×C79—24no—
648C4×C79—22no—
649C4×C79—24no—
650Dic79—24no—
651Dic79—24no—
652Dic79—24no—
653Dic79—24no—
654Dic79—22no—
655C2×#3532—791nomaximal, Sylow
656C2×C79—42no—
657C2×C79—44no—
658C2×C79—42no—
659C2×C79—44no—
660C2×C79#353214yescomplemented
661C2×C79C22×H(5,𝔽2)12yes—
662C2×C79C22×H(5,𝔽2)11yescharacteristic
663D79—24no—
664D79—28no—
665D79—42no—
666D79—42no—
667D79—44no—
668#3532—7932no—
669C2×H(3,𝔽4)—791no—
670C2×#560—792no—
671C2×#560D7911yescharacteristic, complemented
672C2×#551—792no—
673C2×#551—791no—
674C2×#546—792no—
675C2×#546—792no—
676C2×#546—792no—
677C2×D42—791no—
678C2×D42—792no—
679C2×#538—792no—
680C2×#538—792no—
681C2×#538—792no—
682C2×#535—791no—
683C2×#535—792no—
684C2×#534—791no—
685C2×#534—792no—
686C22×#120—791no—
687C22×#120—792no—
688C79C2×#353211yescharacteristic, complemented, Sylow
689C26—791no—
690C22×#41—791no—
691C22×#41—792no—
692C23×D4—791no—
693C23×D4—792no—
694C23×D4—792no—
695C23×D4—792no—
696C23×D4—792no—
697C23×D4—792no—
698C23×D4—791no—
699H(3,𝔽4)—7916no—
700#560—7932no—
701#560C2×D79116yescomplemented
702#551—7932no—
703#551—7916no—
704#546—7932no—
705#546—7932no—
706#546—7932no—
707D42—7916no—
708D42—7932no—
709#538—7932no—
710#538—7932no—
711#538—7932no—
712#535—7916no—
713#535—7932no—
714#534—7916no—
715#534—7932no—
716C2×#127—792no—
717C2×#127—791no—
718C2×#127C2×D7911yescharacteristic, complemented
719C2×#126—792no—
720C2×#126—792no—
721C2×#126—792no—
722C2×#126C2×D7912yescomplemented
723C2×#124—791no—
724C2×#124—792no—
725C2×#124—792no—
726C2×#124—792no—
727C2×#124—792no—
728C2×#124—792no—
729C2×#124—791no—
730C2×#123—792no—
731C2×#123—791no—
732C2×#123—792no—
733C2×#123—792no—
734C2×#123—792no—
735C2×#123—792no—
736C2×#123—792no—
737C2×#123—792no—
738C2×#123C2×D7911yescharacteristic, complemented
739C2×#123C2×D7912yescomplemented
740C2×C22⋊Q8—792no—
741C2×C22⋊Q8—792no—
742C2×C22⋊Q8—792no—
743C2×#121—792no—
744C2×#121—792no—
745C2×#121—792no—
746C2×#121—792no—
747C2×#121—792no—
748C2×#121—792no—
749C2×#121—792no—
750C2×#121—792no—
751C2×#121—792no—
752C2×#121—792no—
753C2×#121—792no—
754C2×#121—792no—
755C2×#121C2×D7912yescomplemented
756C2×#121C2×D7912yescomplemented
757C2×#121C2×D7912yescomplemented
758C2×#120—791no—
759C2×#120—792no—
760C2×#120—792no—
761C2×#120—792no—
762C2×#120—792no—
763C2×#120—791no—
764C2×#120—792no—
765C2×#120—791no—
766C2×#120—792no—
767C2×#120—792no—
768C2×#120—792no—
769C2×#120—7916no—
770C2×#120—7932no—
771C2×#120—792no—
772C2×#120—792no—
773C2×#120—792no—
774C2×#120—792no—
775C2×#120—791no—
776C2×#120—791no—
777C2×#120—792no—
778C2×#120C2×D7912yescomplemented
779C2×#120C2×D7911yescharacteristic, complemented
780C2×C4×D4—792no—
781C2×C4×D4—792no—
782C2×C4×D4—792no—
783C2×C4×D4—792no—
784C2×C4×D4—792no—
785C2×C4×D4—792no—
786C2×#117—792no—
787C2×#117—791no—
788C22×C22⋊C4—792no—
789C22×C22⋊C4—791no—
790C22×C22⋊C4—792no—
791C22×C22⋊C4—792no—
792C22×C22⋊C4—792no—
793C22×C22⋊C4—792no—
794C22×C22⋊C4—791no—
795C25—3164no—
796C25—3168no—
797C25—798no—
798C25—791no—
799C25—792no—
800C25—791no—
801C25—792no—
802C25—791no—
803C25—791no—
804C25—792no—
805C25C22×D7911yescharacteristic
806C2×#41—3168no—
807C2×#41—3164no—
808C2×#41—798no—
809C2×#41—7916no—
810C22×Q8—792no—
811C22×Q8—791no—
812C22×D4—3164no—
813C22×D4—3168no—
814C22×D4—3168no—
815C22×D4—3168no—
816C22×D4—3168no—
817C22×D4—3168no—
818C22×D4—3164no—
819C22×D4—791no—
820C22×D4—792no—
821C22×D4—792no—
822C22×D4—792no—
823C22×D4—791no—
824C22×D4—792no—
825C22×D4—792no—
826C22×D4—792no—
827C22×D4—792no—
828C22×D4—798no—
829C22×D4—7916no—
830C22×D4—7916no—
831C22×D4—7916no—
832C22×D4—7916no—
833C22×D4—7916no—
834C22×D4—792no—
835C22×D4—792no—
836C22×D4—792no—
837C22×D4—792no—
838C22×D4—791no—
839C22×D4—792no—
840C22×D4—792no—
841C22×D4—792no—
842C22×D4—792no—
843C22×D4—798no—
844C22×D4C22×D7912yes—
845C22×D4C22×D7911yescharacteristic
846C22×D4C22×D7912yes—
847C22×D4C22×D7912yes—
848C22×D4C22×D7912yes—
849C22×D4C22×D7911yescharacteristic, complemented
850C22×D4C22×D7912yescomplemented
851C23×C4—792no—
852C23×C4—792no—
853C23×C4—792no—
854C23×C4—792no—
855C23×C4—792no—
856C23×C4—792no—
857C23×C4—792no—
858C23×C4—791no—
859C23×C4C22×D7912yescomplemented
860C23×C4C22×D7911yescharacteristic, complemented
861#127—7916no—
862#127—798no—
863#127C22×D7918yescomplemented
864#126—7916no—
865#126—7916no—
866#126—7916no—
867#126C22×D79116yescomplemented
868#124—798no—
869#124—7916no—
870#124—7916no—
871#124—7916no—
872#124—7916no—
873#124—7916no—
874#124—798no—
875#123—7916no—
876#123—798no—
877#123—7916no—
878#123—7916no—
879#123—7916no—
880#123—7916no—
881#123—7916no—
882#123—7916no—
883#123C22×D7918yescomplemented
884#123C22×D79116yescomplemented
885C22⋊Q8—7916no—
886C22⋊Q8—7916no—
887C22⋊Q8—7916no—
888#121—7916no—
889#121—7916no—
890#121—7916no—
891#121—7916no—
892#121—7916no—
893#121—7916no—
894#121—7916no—
895#121—7916no—
896#121—7916no—
897#121—7916no—
898#121—7916no—
899#121—7916no—
900#121C22×D79116yescomplemented
901#121C22×D79116yescomplemented
902#121C22×D79116yescomplemented
903#120—798no—
904#120—7916no—
905#120—7916no—
906#120—7916no—
907#120—7916no—
908#120—798no—
909#120—7916no—
910#120—798no—
911#120—7916no—
912#120—7916no—
913#120—7916no—
914#120—7916no—
915#120—7916no—
916#120—7916no—
917#120—7916no—
918#120—798no—
919#120—798no—
920#120—7916no—
921#120C22×D79116yescomplemented
922#120C22×D7918yescomplemented
923C4×D4—7916no—
924C4×D4—7916no—
925C4×D4—7916no—
926C4×D4—7916no—
927C4×D4—7916no—
928C4×D4—7916no—
929#117—7916no—
930#117—798no—
931C2×C4⋊C4—792no—
932C2×C4⋊C4—792no—
933C2×C4⋊C4—792no—
934C2×C4⋊C4—792no—
935C2×C4⋊C4—792no—
936C2×C4⋊C4—792no—
937C2×C4⋊C4C22×D7912yescomplemented
938C2×C4⋊C4C22×D7912yescomplemented
939C2×C4⋊C4C22×D7912yescomplemented
940C2×C22⋊C4—791no—
941C2×C22⋊C4—792no—
942C2×C22⋊C4—792no—
943C2×C22⋊C4—792no—
944C2×C22⋊C4—792no—
945C2×C22⋊C4—791no—
946C2×C22⋊C4—792no—
947C2×C22⋊C4—792no—
948C2×C22⋊C4—792no—
949C2×C22⋊C4—792no—
950C2×C22⋊C4—792no—
951C2×C22⋊C4—792no—
952C2×C22⋊C4—792no—
953C2×C22⋊C4—792no—
954C2×C22⋊C4—792no—
955C2×C22⋊C4—792no—
956C2×C22⋊C4—792no—
957C2×C22⋊C4—792no—
958C2×C22⋊C4—792no—
959C2×C22⋊C4—792no—
960C2×C22⋊C4—792no—
961C2×C22⋊C4—792no—
962C2×C22⋊C4—7916no—
963C2×C22⋊C4—798no—
964C2×C22⋊C4—7916no—
965C2×C22⋊C4—7916no—
966C2×C22⋊C4—7916no—
967C2×C22⋊C4—7916no—
968C2×C22⋊C4—798no—
969C2×C22⋊C4C22×D7912yes—
970C2×C22⋊C4C22×D7912yes—
971C2×C22⋊C4C22×D7912yes—
972C2×C22⋊C4C22×D7912yes—
973C2×C22⋊C4C22×D7911yescharacteristic
974C2×C22⋊C4C22×D7911yescharacteristic, complemented
975C2×C22⋊C4C22×D7912yescomplemented
976C2×C42—791no—
977C2×C42—792no—
978C2×C42—792no—
979C2×C42C22×D7911yescharacteristic, complemented
980C24—44no—
981C24—42no—
982C24—3164no—
983C24—3164no—
984C24—3164no—
985C24—3162no—
986C24—3164no—
987C24—3164no—
988C24—3162no—
989C24—3164no—
990C24—3164no—
991C24—3164no—
992C24—31664no—
993C24—31616no—
994C24—31632no—
995C24—794no—
996C24—798no—
997C24—794no—
998C24—798no—
999C24—794no—
1000C24—794no—
1001C24—798no—
1002C24—791no—
1003C24—792no—
1004C24—791no—
1005C24—792no—
1006C24—791no—
1007C24—1584no—
1008C24—1588no—
1009C24—1588no—
1010C24—1588no—
1011C24—1588no—
1012C24—1584no—
1013C24—1588no—
1014C24C23×D7911yescharacteristic
1015C24C23×D7912yes—
1016C24C23×D7911yescharacteristic
1017C24C23×D7912yes—
1018C24C23×D7914yes—
1019#41—31632no—
1020#41—31616no—
1021C2×Q8—3164no—
1022C2×Q8—3162no—
1023C2×Q8—798no—
1024C2×Q8—794no—
1025C2×D4—44no—
1026C2×D4—44no—
1027C2×D4—44no—
1028C2×D4—44no—
1029C2×D4—42no—
1030C2×D4—44no—
1031C2×D4—42no—
1032C2×D4—3164no—
1033C2×D4—3164no—
1034C2×D4—3162no—
1035C2×D4—31616no—
1036C2×D4—31632no—
1037C2×D4—31632no—
1038C2×D4—31632no—
1039C2×D4—31632no—
1040C2×D4—31632no—
1041C2×D4—31616no—
1042C2×D4—3162no—
1043C2×D4—3162no—
1044C2×D4—3164no—
1045C2×D4—3164no—
1046C2×D4—3164no—
1047C2×D4—3164no—
1048C2×D4—3164no—
1049C2×D4—3164no—
1050C2×D4—3164no—
1051C2×D4—794no—
1052C2×D4—798no—
1053C2×D4—798no—
1054C2×D4—798no—
1055C2×D4—794no—
1056C2×D4—798no—
1057C2×D4—798no—
1058C2×D4—798no—
1059C2×D4—798no—
1060C2×D4—798no—
1061C2×D4—798no—
1062C2×D4—798no—
1063C2×D4—798no—
1064C2×D4—794no—
1065C2×D4—798no—
1066C2×D4—798no—
1067C2×D4—798no—
1068C2×D4—798no—
1069C2×D4—1588no—
1070C2×D4—1588no—
1071C2×D4—1588no—
1072C2×D4—1588no—
1073C2×D4—1588no—
1074C2×D4—1588no—
1075C2×D4C23×D7918yes—
1076C2×D4C23×D7914yes—
1077C2×D4C23×D7918yes—
1078C2×D4C23×D7918yes—
1079C2×D4C23×D7918yes—
1080C2×D4C23×D7914yescomplemented
1081C2×D4C23×D7918yescomplemented
1082C22×C4—42no—
1083C22×C4—44no—
1084C22×C4—3164no—
1085C22×C4—3164no—
1086C22×C4—3164no—
1087C22×C4—3164no—
1088C22×C4—3164no—
1089C22×C4—3164no—
1090C22×C4—798no—
1091C22×C4—798no—
1092C22×C4—798no—
1093C22×C4—798no—
1094C22×C4—798no—
1095C22×C4—798no—
1096C22×C4—792no—
1097C22×C4—792no—
1098C22×C4—792no—
1099C22×C4—792no—
1100C22×C4—791no—
1101C22×C4—798no—
1102C22×C4—794no—
1103C22×C4—1588no—
1104C22×C4—1584no—
1105C22×C4C23×D7911yescharacteristic
1106C22×C4C23×D7912yes—
1107C22×C4C23×D7912yes—
1108C22×C4C23×D7912yes—
1109C22×C4C23×D7912yes—
1110C22×C4C23×D7918yescomplemented
1111C22×C4C23×D7914yescomplemented
1112C4⋊C4—798no—
1113C4⋊C4—798no—
1114C4⋊C4—798no—
1115C4⋊C4—798no—
1116C4⋊C4—798no—
1117C4⋊C4—798no—
1118C4⋊C4C23×D7918yescomplemented
1119C4⋊C4C23×D7918yescomplemented
1120C4⋊C4C23×D7918yescomplemented
1121C22⋊C4—794no—
1122C22⋊C4—798no—
1123C22⋊C4—798no—
1124C22⋊C4—798no—
1125C22⋊C4—798no—
1126C22⋊C4—794no—
1127C22⋊C4—798no—
1128C22⋊C4—798no—
1129C22⋊C4—798no—
1130C22⋊C4—798no—
1131C22⋊C4—798no—
1132C22⋊C4—798no—
1133C22⋊C4—798no—
1134C22⋊C4—798no—
1135C22⋊C4—798no—
1136C22⋊C4—798no—
1137C22⋊C4—798no—
1138C22⋊C4—798no—
1139C22⋊C4—798no—
1140C22⋊C4—798no—
1141C22⋊C4—798no—
1142C22⋊C4—798no—
1143C22⋊C4C23×D7918yes—
1144C22⋊C4C23×D7918yes—
1145C22⋊C4C23×D7918yes—
1146C22⋊C4C23×D7918yes—
1147C22⋊C4C23×D7914yes—
1148C22⋊C4C23×D7914yescomplemented
1149C22⋊C4C23×D7918yescomplemented
1150C42—794no—
1151C42—798no—
1152C42—798no—
1153C42C23×D7914yescomplemented
1154C23—24no—
1155C23—22no—
1156C23—24no—
1157C23—24no—
1158C23—24no—
1159C23—24no—
1160C23—24no—
1161C23—24no—
1162C23—24no—
1163C23—22no—
1164C23—48no—
1165C23—44no—
1166C23—416no—
1167C23—3168no—
1168C23—3168no—
1169C23—3168no—
1170C23—3164no—
1171C23—3168no—
1172C23—3168no—
1173C23—3164no—
1174C23—3168no—
1175C23—3168no—
1176C23—3168no—
1177C23—316128no—
1178C23—31616no—
1179C23—31632no—
1180C23—31632no—
1181C23—31616no—
1182C23—794no—
1183C23—798no—
1184C23—792no—
1185C23—794no—
1186C23—792no—
1187C23—794no—
1188C23—792no—
1189C23—6328no—
1190C23—6328no—
1191C23—63216no—
1192C23—1588no—
1193C23—15816no—
1194C23—15816no—
1195C23—15816no—
1196C23—15816no—
1197C23—1588no—
1198C23—15816no—
1199C23—1584no—
1200C23—1584no—
1201C23—1582no—
1202C23—1584no—
1203C23—1584no—
1204C23—1584no—
1205C23—1582no—
1206C23—1584no—
1207C23—1584no—
1208C23—1584no—
1209C23C24×D7912yes—
1210C23C24×D7914yes—
1211C23C24×D7912yes—
1212C23C24×D7914yes—
1213C23C24×D7911yescharacteristic
1214Q8—3168no—
1215Q8—3164no—
1216D4—48no—
1217D4—48no—
1218D4—48no—
1219D4—48no—
1220D4—44no—
1221D4—48no—
1222D4—44no—
1223D4—3168no—
1224D4—3168no—
1225D4—3164no—
1226D4—3164no—
1227D4—3164no—
1228D4—3168no—
1229D4—3168no—
1230D4—3168no—
1231D4—3168no—
1232D4—3168no—
1233D4—3168no—
1234D4—3168no—
1235D4—15816no—
1236D4—15816no—
1237D4—15816no—
1238D4—15816no—
1239D4—15816no—
1240D4—15816no—
1241C2×C4—24no—
1242C2×C4—24no—
1243C2×C4—24no—
1244C2×C4—24no—
1245C2×C4—22no—
1246C2×C4—44no—
1247C2×C4—48no—
1248C2×C4—3168no—
1249C2×C4—3168no—
1250C2×C4—3168no—
1251C2×C4—3168no—
1252C2×C4—3168no—
1253C2×C4—3168no—
1254C2×C4—794no—
1255C2×C4—794no—
1256C2×C4—794no—
1257C2×C4—794no—
1258C2×C4—792no—
1259C2×C4—15816no—
1260C2×C4—1588no—
1261C2×C4—1582no—
1262C2×C4—1584no—
1263C2×C4—1584no—
1264C2×C4—1584no—
1265C2×C4—1584no—
1266C2×C4C24×D7912yes—
1267C2×C4C24×D7914yes—
1268C2×C4C24×D7914yes—
1269C2×C4C24×D7914yes—
1270C2×C4C24×D7914yes—
1271C22—24no—
1272C22—22no—
1273C22—24no—
1274C22—24no—
1275C22—24no—
1276C22—24no—
1277C22—24no—
1278C22—24no—
1279C22—24no—
1280C22—22no—
1281C22—416no—
1282C22—48no—
1283C22—44no—
1284C22—44no—
1285C22—48no—
1286C22—31616no—
1287C22—31632no—
1288C22—31632no—
1289C22—31616no—
1290C22—3164no—
1291C22—3168no—
1292C22—3164no—
1293C22—794no—
1294C22—798no—
1295C22—6328no—
1296C22—6328no—
1297C22—63216no—
1298C22—1584no—
1299C22—1584no—
1300C22—1582no—
1301C22—1584no—
1302C22—1584no—
1303C22—1584no—
1304C22—1582no—
1305C22—1588no—
1306C22—15816no—
1307C22—1584no—
1308C22—1584no—
1309C22—1584no—
1310C22H(5,𝔽2)×D7914yes—
1311C22H(5,𝔽2)×D7912yes—
1312C22C25×D7911yescharacteristic
1313C4—24no—
1314C4—24no—
1315C4—24no—
1316C4—24no—
1317C4—22no—
1318C4—1582no—
1319C4—1584no—
1320C4—1584no—
1321C4—1584no—
1322C4—1584no—
1323C2—44no—
1324C2—42no—
1325C2—42no—
1326C2—44no—
1327C2—3162no—
1328C2—3164no—
1329C2—3162no—
1330C2—1584no—
1331C2—1588no—
1332C2#2377755314yesdirect product factor
1333C2C2×H(5,𝔽2)×D7912yes—
1334C2C2×H(5,𝔽2)×D7911yescharacteristic
subgroupG/H
centerC23C24×D79
commutator, cosocleC22×C79C26
FrattiniC22C25×D79
FittingC2×#560×C79C2
socleC23×C79C25
hypercenterC2×#560D79
hypocenterC79C2×#3532
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C23 ◁ C2×#560

Complements

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

NH ≅ G/Ntype
1. #23777553C2direct (N × H)
2. C2×#19099306C2semidirect
3. C2×#19099302C2semidirect
4. C2×#19099241C2semidirect
5. C2×#19099238C2semidirect
6. C2×#19099210C2semidirect
7. C2×#19099205C2semidirect
8. C2×#19099202C2semidirect
9. C2×#19099198C2semidirect
10. C2×#19099197C2semidirect
11. C2×#19099152C2semidirect
12. C2×#19099149C2semidirect
13. C2×#19099145C2semidirect
14. C2×#19099129C2semidirect
15. C2×#19099126C2semidirect
16. C2×#19099124C2semidirect
17. C2×#19099121C2semidirect
18. C2×#120×D79C2semidirect
19. C2×#120×D79C2semidirect
20. C2×#560×C79C2semidirect
21. C25×D79C22semidirect
22. C22×#11929624C22semidirect
23. C22×#11929623C22semidirect
24. C23×D316C22semidirect
25. C22×D4×D79C22semidirect
26. C22×D4×D79C22semidirect
27. C22×D4×D79C22semidirect
28. C22×D4×D79C22semidirect
29. C22×D4×D79C22semidirect
30. C22×D4×D79C22semidirect
31. #19099306C22semidirect
32. #19099302C22semidirect
33. #19099241C22semidirect
34. #19099238C22semidirect
35. #19099210C22semidirect
36. #19099205C22semidirect
37. #19099202C22semidirect
38. #19099198C22semidirect
39. #19099197C22semidirect
40. #19099152C22semidirect
41. #19099149C22semidirect
42. #19099145C22semidirect
43. #19099129C22semidirect
44. #19099126C22semidirect
45. #19099124C22semidirect
46. #19099121C22semidirect
47. C2×#14579157C22semidirect
48. C2×#14579157C22semidirect
49. C2×#14579156C22semidirect
50. C2×#14579154C22semidirect
51. C2×#14579154C22semidirect
52. C2×#14579149C22semidirect
53. C2×#14579148C22semidirect
54. C2×#14579148C22semidirect
55. C2×#14579147C22semidirect
56. C2×#14579147C22semidirect
57. C2×#14579147C22semidirect
58. C2×#14579147C22semidirect
59. C2×#14579146C22semidirect
60. C2×#14579146C22semidirect
61. C2×#14579146C22semidirect
62. C2×#14579144C22semidirect
63. C2×#14579143C22semidirect
64. C2×#14579143C22semidirect
65. C2×#14579143C22semidirect
66. C2×#14579142C22semidirect
67. C2×#14579141C22semidirect
68. C2×#14579139C22semidirect
69. C2×#14579139C22semidirect
70. C2×#14579136C22semidirect
71. C2×#14579136C22semidirect
72. C2×#14579135C22semidirect
73. C2×#14579134C22semidirect
74. C2×#14579134C22semidirect
75. C2×#14579134C22semidirect
76. C2×#14579133C22semidirect
77. C2×#14579133C22semidirect
78. C2×#14579133C22semidirect
79. C2×#14579132C22semidirect
80. C2×#14579132C22semidirect
81. C2×#14579132C22semidirect
83. C2×#14579131C22semidirect
84. C2×#14579131C22semidirect
85. C2×#14579131C22semidirect
86. C2×#14579131C22semidirect
87. C2×#14579131C22semidirect
88. C2×#14579131C22semidirect
89. C2×#14579130C22semidirect
90. C2×#14579130C22semidirect
92. C2×#14579129C22semidirect
93. C2×#14579129C22semidirect
94. C2×#14579129C22semidirect
95. C2×#14579129C22semidirect
96. C2×#14579129C22semidirect
97. C2×#14579129C22semidirect
98. C2×#14579129C22semidirect
99. C2×#14579129C22semidirect
100. #120×D79C22semidirect
101. #120×D79C22semidirect
102. C2×C4×D316C22semidirect
103. C2×#14579123C22semidirect
104. C2×#14579123C22semidirect
105. C2×C4×C22⋊D79C22semidirect
106. C2×C4×C22⋊D79C22semidirect
107. C2×(C22⋊D79)⋊C4C22semidirect
108. C2×#14579119C22semidirect
109. C2×#14579118C22semidirect
110. C22×(C2×D79)⋊C4C22semidirect
111. C2×C22⋊C4×D79C22semidirect
112. C2×C22⋊C4×D79C22semidirect
113. C2×C22⋊C4×D79C22semidirect
114. C2×C22⋊C4×D79C22semidirect
115. C2×C22⋊C4×D79C22semidirect
116. C2×C22⋊C4×D79C22semidirect
117. #560×C79C22semidirect
118. C2×#127×C79C22semidirect
119. C2×#126×C79C22semidirect
120. C2×#123×C79C22semidirect
121. C2×#123×C79C22semidirect
122. C2×#121×C79C22semidirect
123. C2×#121×C79C22semidirect
124. C2×#121×C79C22semidirect
125. C2×#120×C79C22semidirect
126. C2×#120×C79C22semidirect
135. C24×D79C23semidirect
136. C24×D79C23semidirect
138. C2×#11929624C23semidirect
140. C2×#11929623C23semidirect
141. C22×Dic158C23semidirect
142. C22×Dic158C23semidirect
149. C22×D316C23semidirect
150. C22×D316C23semidirect
161. C22×C22⋊D79C23semidirect
162. C22×C22⋊D79C23semidirect
169. C2×D4×D79C23semidirect
170. C2×D4×D79C23semidirect
171. C2×D4×D79C23semidirect
172. C2×D4×D79C23semidirect
173. C2×D4×D79C23semidirect
174. C2×D4×D79C23semidirect
175. C23×Dic79C23semidirect
181. C22×C4×D79C23semidirect
182. C22×C4×D79C23semidirect
183. #14579157C23semidirect
184. #14579157C23semidirect
185. #14579156C23semidirect
186. #14579154C23semidirect
187. #14579154C23semidirect
188. #14579149C23semidirect
189. #14579148C23semidirect
190. #14579148C23semidirect
191. #14579147C23semidirect
192. #14579147C23semidirect
193. #14579147C23semidirect
194. #14579147C23semidirect
195. #14579146C23semidirect
196. #14579146C23semidirect
197. #14579146C23semidirect
198. #14579144C23semidirect
199. #14579143C23semidirect
200. #14579143C23semidirect
201. #14579143C23semidirect
202. #14579142C23semidirect
203. #14579141C23semidirect
204. #14579139C23semidirect
205. #14579139C23semidirect
206. #14579136C23semidirect
207. #14579136C23semidirect
208. #14579135C23semidirect
209. #14579134C23semidirect
210. #14579134C23semidirect
211. #14579134C23semidirect
212. #14579133C23semidirect
213. #14579133C23semidirect
214. #14579133C23semidirect
215. #14579132C23semidirect
216. #14579132C23semidirect
217. #14579132C23semidirect
219. #14579131C23semidirect
220. #14579131C23semidirect
221. #14579131C23semidirect
222. #14579131C23semidirect
223. #14579131C23semidirect
224. #14579131C23semidirect
225. #14579130C23semidirect
226. #14579130C23semidirect
228. #14579129C23semidirect
229. #14579129C23semidirect
230. #14579129C23semidirect
231. #14579129C23semidirect
232. #14579129C23semidirect
233. #14579129C23semidirect
234. #14579129C23semidirect
235. #14579129C23semidirect
236. C4×D316C23semidirect
237. #14579123C23semidirect
238. #14579123C23semidirect
239. C4×C22⋊D79C23semidirect
240. C4×C22⋊D79C23semidirect
241. (C22⋊D79)⋊C4C23semidirect
242. #14579119C23semidirect
243. #14579118C23semidirect
244. C2×C4⋊Dic79C23semidirect
245. C2×C4⋊Dic79C23semidirect
246. C2×Dic79⋊C4C23semidirect
247. C2×Dic79⋊C4C23semidirect
248. C2×Dic79⋊C4C23semidirect
249. C2×Dic79⋊C4C23semidirect
255. C2×C22⋊Dic79C23semidirect
256. C2×C22⋊Dic79C23semidirect
257. C2×C22⋊Dic79C23semidirect
267. C2×(C2×D79)⋊C4C23semidirect
268. C2×(C2×D79)⋊C4C23semidirect
269. C2×(C2×D79)⋊C4C23semidirect
270. C2×(C2×D79)⋊C4C23semidirect
271. C2×(C2×D79)⋊C4C23semidirect
272. C2×(C2×D79)⋊C4C23semidirect
273. C22⋊C4×D79C23semidirect
274. C22⋊C4×D79C23semidirect
275. C22⋊C4×D79C23semidirect
276. C22⋊C4×D79C23semidirect
277. C22⋊C4×D79C23semidirect
278. C22⋊C4×D79C23semidirect
279. C2×C4×Dic79C23semidirect
280. C2×C4×Dic79C23semidirect
281. C2×C4×Dic79C23semidirect
288. C22×D4×C79C23semidirect
289. C22×D4×C79C23semidirect
290. C23×C4×C79C23semidirect
291. C23×C4×C79C23semidirect
292. #127×C79C23semidirect
293. #126×C79C23semidirect
294. #123×C79C23semidirect
295. #123×C79C23semidirect
296. #121×C79C23semidirect
297. #121×C79C23semidirect
298. #121×C79C23semidirect
299. #120×C79C23semidirect
300. #120×C79C23semidirect
301. C2×C4⋊C4×C79C23semidirect
302. C2×C4⋊C4×C79C23semidirect
303. C2×C4⋊C4×C79C23semidirect
309. C2×C22⋊C4×C79C23semidirect
310. C2×C22⋊C4×C79C23semidirect
311. C2×C42×C79C23semidirect
343. C23×D79C24semidirect
348. C2×Dic158C24semidirect
349. C2×Dic158C24semidirect
362. C2×D316C24semidirect
385. C2×C22⋊D79C24semidirect
386. C2×C22⋊D79C24semidirect
399. C22×Dic79C24semidirect
412. C2×C4×D79C24semidirect
413. C2×C4×D79C24semidirect
414. C4⋊Dic79C24semidirect
415. C4⋊Dic79C24semidirect
416. Dic79⋊C4C24semidirect
417. Dic79⋊C4C24semidirect
418. Dic79⋊C4C24semidirect
419. Dic79⋊C4C24semidirect
425. C22⋊Dic79C24semidirect
426. C22⋊Dic79C24semidirect
427. C22⋊Dic79C24semidirect
437. (C2×D79)⋊C4C24semidirect
438. (C2×D79)⋊C4C24semidirect
439. (C2×D79)⋊C4C24semidirect
440. (C2×D79)⋊C4C24semidirect
441. (C2×D79)⋊C4C24semidirect
442. C4×Dic79C24semidirect
443. C4×Dic79C24semidirect
444. C4×Dic79C24semidirect
464. C2×D4×C79C24semidirect
465. C2×D4×C79C24semidirect
473. C22×C4×C79C24semidirect
474. C22×C4×C79C24semidirect
475. C4⋊C4×C79C24semidirect
476. C4⋊C4×C79C24semidirect
477. C4⋊C4×C79C24semidirect
483. C22⋊C4×C79C24semidirect
484. C22⋊C4×C79C24semidirect
485. C42×C79C24semidirect
660. C2×C79#3532semidirect
671. C2×#560D79semidirect
688. C79C2×#3532semidirect
701. #560C2×D79semidirect
718. C2×#127C2×D79semidirect
722. C2×#126C2×D79semidirect
738. C2×#123C2×D79semidirect
739. C2×#123C2×D79semidirect
755. C2×#121C2×D79semidirect
756. C2×#121C2×D79semidirect
757. C2×#121C2×D79semidirect
778. C2×#120C2×D79semidirect
779. C2×#120C2×D79semidirect
849. C22×D4C22×D79semidirect
850. C22×D4C22×D79semidirect
859. C23×C4C22×D79semidirect
860. C23×C4C22×D79semidirect
863. #127C22×D79semidirect
867. #126C22×D79semidirect
883. #123C22×D79semidirect
884. #123C22×D79semidirect
900. #121C22×D79semidirect
901. #121C22×D79semidirect
902. #121C22×D79semidirect
921. #120C22×D79semidirect
922. #120C22×D79semidirect
937. C2×C4⋊C4C22×D79semidirect
938. C2×C4⋊C4C22×D79semidirect
939. C2×C4⋊C4C22×D79semidirect
974. C2×C22⋊C4C22×D79semidirect
975. C2×C22⋊C4C22×D79semidirect
979. C2×C42C22×D79semidirect
1080. C2×D4C23×D79semidirect
1081. C2×D4C23×D79semidirect
1110. C22×C4C23×D79semidirect
1111. C22×C4C23×D79semidirect
1118. C4⋊C4C23×D79semidirect
1119. C4⋊C4C23×D79semidirect
1120. C4⋊C4C23×D79semidirect
1148. C22⋊C4C23×D79semidirect
1149. C22⋊C4C23×D79semidirect
1153. C42C23×D79semidirect
1332. C2#23777553direct (N × H)

Maximal subgroups

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

subgroupindex
#237775532
C2×#190993062
C2×#190993022
C2×#190992412
C2×#190992382
C2×#190992102
C2×#190992052
C2×#190992022
C2×#190991982
C2×#190991972
C2×#190991522
C2×#190991492
C2×#190991452
C2×#190991292
C2×#190991262
C2×#190991242
C2×#190991212
C2×#120×D792
C2×#560×C792
C2×#353279