Finite Group Databasebeta

← C2×#23777556 #35195393

Subgroups — C2×#23777556 #35195393

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#23777556C2132yesmaximal, direct product factor
2C2×#19099305C211yesmaximal, characteristic, complemented
3C2×#19099304C212yesmaximal, complemented
4C2×#19099303C211yesmaximal, characteristic, complemented
5C2×#19099237C212yesmaximal, complemented
6C2×#19099205C212yesmaximal, complemented
7C2×#19099204C212yesmaximal, complemented
8C2×#19099203C212yesmaximal, complemented
9C2×D4×D316C212yesmaximal, complemented
10C2×#19099195C211yesmaximal, characteristic, complemented
11C2×#19099153C212yesmaximal, complemented
12C2×#19099152C212yesmaximal, complemented
13C2×#19099146C212yesmaximal, complemented
14C2×#19099132C212yesmaximal, complemented
15C2×#19099131C211yesmaximal, characteristic, complemented
16C2×#19099124C211yesmaximal, characteristic, complemented
17C2×#19099124C212yesmaximal, complemented
18C22×#14579131C212yesmaximal, complemented
19C2×#120×D79C211yesmaximal, characteristic, complemented
20C2×#551×C79C211yesmaximal, characteristic, complemented
21C25×D79C2211yescharacteristic, complemented
22C22×#11929625C2211yescharacteristic, complemented
23C22×#11929624C2212yescomplemented
24C23×D316C2212yescomplemented
25C23×D316C2212yescomplemented
26C23×D316C2211yescharacteristic, complemented
27C23×C22⋊D79C2212yescomplemented
28C22×D4×D79C2212yescomplemented
29C22×D4×D79C2211yescharacteristic, complemented
30C22×D4×D79C2212yescomplemented
31#19099305C22116yescomplemented
32#19099304C22132yescomplemented
33#19099303C22116yescomplemented
34#19099237C22132yescomplemented
35#19099205C22132yescomplemented
36#19099204C22132yescomplemented
37#19099203C22132yescomplemented
38D4×D316C22132yescomplemented
39#19099195C22116yescomplemented
40#19099153C22132yescomplemented
41#19099152C22132yescomplemented
42#19099146C22132yescomplemented
43#19099132C22132yescomplemented
44#19099131C22116yescomplemented
45#19099124C22116yescomplemented
46#19099124C22132yescomplemented
47C2×#14579158C2212yescomplemented
48C2×#14579158C2211yescharacteristic, complemented
49C2×#14579157C2211yescharacteristic, complemented
50C2×#14579156C2212yescomplemented
51C2×#14579156C2212yescomplemented
52C2×#14579155C2212yescomplemented
53C2×#14579150C2212yescomplemented
54C2×#14579150C2211yescharacteristic, complemented
55C2×#14579149C2212yescomplemented
56C2×#14579149C2212yescomplemented
57C2×#14579147C2212yescomplemented
58C2×#14579147C2212yescomplemented
59C2×#14579146C2212yescomplemented
60C2×#14579146C2212yescomplemented
61C2×#14579146C2212yescomplemented
62C2×#14579146C2212yescomplemented
63C2×#14579146C2212yescomplemented
64C2×#14579144C2212yescomplemented
65C2×#14579144C2211yescharacteristic, complemented
66C2×#14579143C2212yescomplemented
67C2×#14579139C2212yescomplemented
68C2×#14579138C2212yescomplemented
69C2×#14579136C2212yescomplemented
70C2×#14579136C2212yescomplemented
71C2×#14579136C2212yescomplemented
72C2×#14579136C2212yescomplemented
73C2×#14579136C2212yescomplemented
74C2×#14579136C2212yescomplemented
75C2×#14579136C2212yescomplemented
76C2×#14579135C2212yescomplemented
77C2×#14579135C2212yescomplemented
78C2×#14579134C2212yescomplemented
79C2×#14579134C2212yescomplemented
80C2×#14579134C2212yescomplemented
81C2×#14579134C2212yescomplemented
82C2×#14579134C2212yescomplemented
83C2×#14579133C2212yescomplemented
84C2×#14579131C2212yes—
85C2×#14579131C2212yescomplemented
86C2×#14579131C2212yescomplemented
87C2×#14579131C2211yescharacteristic, complemented
88C2×#14579131C2212yescomplemented
89C2×#14579131C2212yescomplemented
90C2×#14579131C2212yescomplemented
91C2×#14579131C2212yescomplemented
92C2×#14579131C2212yescomplemented
93C2×#14579131C2212yescomplemented
94C2×#14579131C2212yescomplemented
95C2×#14579131C2212yescomplemented
96C2×#14579131C2212yescomplemented
97C2×#14579131C22132yescomplemented
98C2×#14579131C2212yescomplemented
99C2×#14579131C2211yescharacteristic, complemented
100C2×#14579130C2211yescharacteristic, complemented
101C2×#14579129C2212yescomplemented
102C2×#14579129C2211yescharacteristic, complemented
103C2×#14579129C2211yescharacteristic, complemented
104#120×D79C22116yescomplemented
105C2×C4×D316C2212yescomplemented
106C2×#14579123C2212yescomplemented
107C2×C4×C22⋊D79C2212yescomplemented
108C2×(C22⋊D79)⋊C4C2212yescomplemented
109C2×(C22⋊D79)⋊C4C2212yescomplemented
110C2×#14579118C2211yescharacteristic, complemented
111C22×(C2×D79)⋊C4C2212yescomplemented
112C22×(C2×D79)⋊C4C2212yescomplemented
113C2×C22⋊C4×D79C2212yescomplemented
114C2×C22⋊C4×D79C2211yescharacteristic, complemented
115C2×C22⋊C4×D79C2212yescomplemented
116C2×C22⋊C4×D79C2211yescharacteristic, complemented
117#551×C79C22116yescomplemented
118C2×#126×C79C2212yescomplemented
119C2×#124×C79C2211yescharacteristic, complemented
120C2×#123×C79C2211yescharacteristic, complemented
121C2×#123×C79C2212yescomplemented
122C2×C22⋊Q8×C79C2212yescomplemented
123C2×#120×C79C2211yescharacteristic
124C2×C4×D4×C79C2212yescomplemented
125C2×#117×C79C2212yescomplemented
126C22×C22⋊C4×C79C2212yescomplemented
127C24×D79—44no—
128C24×D79—48no—
129C24×D79C2312yes—
130C24×D79C2311yescharacteristic
131C24×D79C2312yes—
132C24×D79C2311yescharacteristic
133C24×D79C2312yes—
134C24×D79C2311yescharacteristic
135C24×D79C2318yescomplemented
136C24×D79C2311yescharacteristic, complemented
137C2×#11929625—44no—
138C2×#11929625C2318yescomplemented
139C2×#11929624—48no—
140C2×#11929624C23116yescomplemented
141C22×Dic158C2312yescomplemented
142C22×D316—48no—
143C22×D316—44no—
144C22×D316—48no—
145C22×D316C2312yes—
146C22×D316C2312yes—
147C22×D316C2312yes—
148C22×D316C2312yes—
149C22×D316C2312yes—
150C22×D316C2312yes—
151C22×D316C2312yes—
152C22×D316C2312yes—
153C22×D316C2312yes—
154C22×D316C2311yescharacteristic
155C22×D316C23116yescomplemented
156C22×D316C23116yescomplemented
157C22×D316C2318yescomplemented
158C22×D316C2312yescomplemented
159C22×D316C2311yescharacteristic, complemented
160C22×D316C2312yescomplemented
161C22×D316C2312yescomplemented
162C22×C22⋊D79—48no—
163C22×C22⋊D79C2312yes—
164C22×C22⋊D79C2312yes—
165C22×C22⋊D79C2312yes—
166C22×C22⋊D79C2311yescharacteristic
167C22×C22⋊D79C2312yes—
168C22×C22⋊D79C2312yes—
169C22×C22⋊D79C2311yescharacteristic
170C22×C22⋊D79C2312yes—
171C22×C22⋊D79C23116yescomplemented
172C22×C22⋊D79C2312yescomplemented
173C2×D4×D79—44no—
174C2×D4×D79—48no—
175C2×D4×D79—48no—
176C2×D4×D79C23116yescomplemented
177C2×D4×D79C2318yescomplemented
178C2×D4×D79C23116yescomplemented
179C23×Dic79C2312yes—
180C22×C4×D79C2311yescharacteristic
181C22×C4×D79C2312yes—
182C22×C4×D79C2312yescomplemented
183C22×C4×D79C2312yescomplemented
184C22×C4×D79C2312yescomplemented
185C22×C4×D79C2312yescomplemented
186#14579158C23116yescomplemented
187#14579158C2318yescomplemented
188#14579157C2318yescomplemented
189#14579156C23116yescomplemented
190#14579156C23116yescomplemented
191#14579155C23116yescomplemented
192#14579150C2318yescomplemented
193#14579150C23116yescomplemented
194#14579149C23116yescomplemented
195#14579149C23116yescomplemented
196#14579147C23116yescomplemented
197#14579147C23116yescomplemented
198#14579146C23116yescomplemented
199#14579146C23116yescomplemented
200#14579146C23116yescomplemented
201#14579146C23116yescomplemented
202#14579146C23116yescomplemented
203#14579144C2318yescomplemented
204#14579144C23116yescomplemented
205#14579143C23116yescomplemented
206#14579139C23116yescomplemented
207#14579138C23116yescomplemented
208#14579136C23116yescomplemented
209#14579136C23116yescomplemented
210#14579136C23116yescomplemented
211#14579136C23116yescomplemented
212#14579136C23116yescomplemented
213#14579136C23116yescomplemented
214#14579136C23116yescomplemented
215#14579135C23116yescomplemented
216#14579135C23116yescomplemented
217#14579134C23116yescomplemented
218#14579134C23116yescomplemented
219#14579134C23116yescomplemented
220#14579134C23116yescomplemented
221#14579134C23116yescomplemented
222#14579133C23116yescomplemented
223#14579131C23116yes—
224#14579131C23116yescomplemented
225#14579131C23116yescomplemented
226#14579131C23116yescomplemented
227#14579131C23116yescomplemented
228#14579131C23116yescomplemented
229#14579131C23116yescomplemented
230#14579131C2318yescomplemented
231#14579131C23116yescomplemented
232#14579131C23116yescomplemented
233#14579131C23116yescomplemented
234#14579131C23116yescomplemented
235#14579131C2318yescomplemented
236#14579131C23116yescomplemented
237#14579131C23116yescomplemented
238#14579130C2318yescomplemented
239#14579129C23116yescomplemented
240#14579129C2318yescomplemented
241#14579129C2318yescomplemented
242C4×D316C23116yescomplemented
243#14579123C23116yescomplemented
244C4×C22⋊D79C23116yescomplemented
245(C22⋊D79)⋊C4C23116yescomplemented
246(C22⋊D79)⋊C4C23116yescomplemented
247#14579118C2318yescomplemented
248C2×C4⋊Dic79C2312yescomplemented
249C2×Dic79⋊C4C2312yescomplemented
250C2×Dic79⋊C4C2312yescomplemented
251C2×Dic79⋊C4C2312yescomplemented
252C2×Dic79⋊C4C2312yescomplemented
253C2×C22⋊Dic79C2312yes—
254C2×C22⋊Dic79C2311yescharacteristic
255C2×C22⋊Dic79C2311yescharacteristic, complemented
256C2×(C2×D79)⋊C4C2312yes—
257C2×(C2×D79)⋊C4C2312yes—
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)⋊C4C23116yescomplemented
269C2×(C2×D79)⋊C4C2312yescomplemented
270C2×(C2×D79)⋊C4C2312yescomplemented
271C2×(C2×D79)⋊C4C2312yescomplemented
272C2×(C2×D79)⋊C4C2312yescomplemented
273C2×(C2×D79)⋊C4C2312yescomplemented
274C2×(C2×D79)⋊C4C2312yescomplemented
275C2×(C2×D79)⋊C4C2312yescomplemented
276C22⋊C4×D79C2318yescomplemented
277C22⋊C4×D79C23116yescomplemented
278C22⋊C4×D79C2318yescomplemented
279C22⋊C4×D79C23116yescomplemented
280C2×C4×Dic79C2311yescharacteristic, complemented
281C2×C4×Dic79C2312yescomplemented
282C25×C79C2311yescharacteristic
283C22×Q8×C79C2311yescharacteristic, complemented
284C22×D4×C79C2312yes—
285C22×D4×C79C2311yescharacteristic
286C23×C4×C79C2312yes—
287C23×C4×C79C2312yes—
288C23×C4×C79C2311yescharacteristic, complemented
289#126×C79C23116yescomplemented
290#124×C79C2318yescomplemented
291#123×C79C2318yescomplemented
292#123×C79C23116yescomplemented
293C22⋊Q8×C79C23116yescomplemented
294#120×C79C2318yes—
295C4×D4×C79C23116yescomplemented
296#117×C79C23116yescomplemented
297C2×C4⋊C4×C79C2312yescomplemented
298C2×C4⋊C4×C79C2312yescomplemented
299C2×C4⋊C4×C79C2312yescomplemented
300C2×C4⋊C4×C79C2312yescomplemented
301C2×C22⋊C4×C79C2312yes—
302C2×C22⋊C4×C79C2312yes—
303C2×C22⋊C4×C79C2312yes—
304C2×C22⋊C4×C79C2312yes—
305C2×C22⋊C4×C79C2312yes—
306C2×C22⋊C4×C79C2311yescharacteristic
307C2×C22⋊C4×C79C23116yescomplemented
308C2×C22⋊C4×C79C2312yescomplemented
309C2×C22⋊C4×C79C2311yescharacteristic, complemented
310C2×C42×C79C2311yescharacteristic, complemented
311C2×C42×C79C2312yescomplemented
312C23×D79—28no—
313C23×D79—28no—
314C23×D79—28no—
315C23×D79—24no—
316C23×D79—28no—
317C23×D79—24no—
318C23×D79—416no—
319C23×D79—44no—
320C23×D79—44no—
321C23×D79—44no—
322C23×D79—44no—
323C23×D79—44no—
324C23×D79—42no—
325C23×D79—432no—
326C23×D79—44no—
327C23×D79—44no—
328C23×D79—44no—
329C23×D79—44no—
330C23×D79—42no—
331C23×D79—464no—
332C23×D79C2412yes—
333C23×D79C2411yescharacteristic
334C23×D79C2412yes—
335C23×D79C2411yescharacteristic
336C23×D79C2412yes—
337C23×D79C2418yes—
338C23×D79C2411yescharacteristic
339C23×D79C2414yes—
340C23×D79C2418yes—
341C23×D79C2414yes—
342C23×D79C2418yes—
343C23×D79C2414yes—
344C23×D79C2414yescomplemented
345#11929625—416no—
346#11929624—432no—
347C2×Dic158—44no—
348C2×Dic158C2418yescomplemented
349C2×D316—28no—
350C2×D316—28no—
351C2×D316—44no—
352C2×D316—42no—
353C2×D316—42no—
354C2×D316—44no—
355C2×D316—44no—
356C2×D316—44no—
357C2×D316—44no—
358C2×D316—44no—
359C2×D316—44no—
360C2×D316—44no—
361C2×D316—44no—
362C2×D316—44no—
363C2×D316—432no—
364C2×D316—432no—
365C2×D316—416no—
366C2×D316C2418yes—
367C2×D316C2418yes—
368C2×D316C2418yes—
369C2×D316C2418yes—
370C2×D316C2418yes—
371C2×D316C2418yes—
372C2×D316C2418yes—
373C2×D316C2418yes—
374C2×D316C2418yes—
375C2×D316C2414yes—
376C2×D316C2418yescomplemented
377C2×D316C2414yescomplemented
378C2×D316C2418yescomplemented
379C2×D316C2418yescomplemented
380C2×C22⋊D79—28no—
381C2×C22⋊D79—28no—
382C2×C22⋊D79—28no—
383C2×C22⋊D79—432no—
384C2×C22⋊D79—42no—
385C2×C22⋊D79—44no—
386C2×C22⋊D79—42no—
387C2×C22⋊D79—44no—
388C2×C22⋊D79—44no—
389C2×C22⋊D79—44no—
390C2×C22⋊D79C2418yes—
391C2×C22⋊D79C2418yes—
392C2×C22⋊D79C2418yes—
393C2×C22⋊D79C2414yes—
394C2×C22⋊D79C2418yes—
395C2×C22⋊D79C2418yes—
396C2×C22⋊D79C2414yes—
397C2×C22⋊D79C2418yes—
398C2×C22⋊D79C2418yescomplemented
399D4×D79—432no—
400D4×D79—432no—
401D4×D79—416no—
402C22×Dic79—44no—
403C22×Dic79C2412yes—
404C22×Dic79C2412yes—
405C22×Dic79C2412yes—
406C22×Dic79C2411yescharacteristic
407C22×Dic79C2418yes—
408C2×C4×D79—24no—
409C2×C4×D79—44no—
410C2×C4×D79—44no—
411C2×C4×D79—44no—
412C2×C4×D79—44no—
413C2×C4×D79—44no—
414C2×C4×D79C2414yes—
415C2×C4×D79C2418yes—
416C2×C4×D79C2418yescomplemented
417C2×C4×D79C2418yescomplemented
418C2×C4×D79C2418yescomplemented
419C2×C4×D79C2418yescomplemented
420C4⋊Dic79C2418yescomplemented
421Dic79⋊C4C2418yescomplemented
422Dic79⋊C4C2418yescomplemented
423Dic79⋊C4C2418yescomplemented
424Dic79⋊C4C2418yescomplemented
425C22⋊Dic79C2418yes—
426C22⋊Dic79C2414yes—
427C22⋊Dic79C2414yescomplemented
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)⋊C4C2418yes—
438(C2×D79)⋊C4C2418yes—
439(C2×D79)⋊C4C2418yescomplemented
440(C2×D79)⋊C4C2418yescomplemented
441(C2×D79)⋊C4C2418yescomplemented
442(C2×D79)⋊C4C2418yescomplemented
443(C2×D79)⋊C4C2418yescomplemented
444(C2×D79)⋊C4C2418yescomplemented
445(C2×D79)⋊C4C2418yescomplemented
446C4×Dic79C2414yescomplemented
447C4×Dic79C2418yescomplemented
448C24×C79—28no—
449C24×C79—42no—
450C24×C79C2411yescharacteristic
451C24×C79C2411yescharacteristic
452C24×C79C2414yes—
453C24×C79C2412yes—
454C2×Q8×C79—42no—
455C2×Q8×C79C2414yescomplemented
456C2×D4×C79—28no—
457C2×D4×C79—42no—
458C2×D4×C79C2418yes—
459C2×D4×C79C2414yes—
460C22×C4×C79—28no—
461C22×C4×C79—44no—
462C22×C4×C79—42no—
463C22×C4×C79C2412yes—
464C22×C4×C79C2418yes—
465C22×C4×C79C2412yes—
466C22×C4×C79C2412yes—
467C22×C4×C79C2411yescharacteristic
468C22×C4×C79C2412yes—
469C22×C4×C79C2412yes—
470C22×C4×C79C2418yes—
471C22×C4×C79C2414yescomplemented
472C4⋊C4×C79C2418yescomplemented
473C4⋊C4×C79C2418yescomplemented
474C4⋊C4×C79C2418yescomplemented
475C4⋊C4×C79C2418yescomplemented
476C22⋊C4×C79C2418yes—
477C22⋊C4×C79C2418yes—
478C22⋊C4×C79C2418yes—
479C22⋊C4×C79C2418yes—
480C22⋊C4×C79C2418yes—
481C22⋊C4×C79C2414yes—
482C22⋊C4×C79C2418yescomplemented
483C22⋊C4×C79C2414yescomplemented
484C42×C79C2414yescomplemented
485C42×C79C2418yescomplemented
486C23×C79—24no—
487C23×C79—24no—
488C23×C79—24no—
489C23×C79—216no—
490C23×C79—24no—
491C23×C79—22no—
492C23×C79—22no—
493C23×C79—44no—
494C23×C79—416no—
495C23×C79H(5,𝔽2)18yes—
496C23×C79C2512yes—
497C23×C79C2512yes—
498C23×C79C2514yes—
499C23×C79C2511yescharacteristic
500C22×D79—24no—
501C22×D79—24no—
502C22×D79—24no—
503C22×D79—24no—
504C22×D79—24no—
505C22×D79—216no—
506C22×D79—24no—
507C22×D79—22no—
508C22×D79—24no—
509C22×D79—22no—
510C22×D79—24no—
511C22×D79—24no—
512C22×D79—24no—
513C22×D79—216no—
514C22×D79—24no—
515C22×D79—24no—
516C22×D79—216no—
517C22×D79—28no—
518C22×D79—216no—
519C22×D79—28no—
520C22×D79—48no—
521C22×D79—48no—
522C22×D79—48no—
523C22×D79—48no—
524C22×D79—48no—
525C22×D79—44no—
526C22×D79—48no—
527C22×D79—48no—
528C22×D79—48no—
529C22×D79—48no—
530C22×D79—44no—
531C22×D79—432no—
532C22×D79—416no—
533C22×D79—432no—
534C22×D79—4128no—
535C22×D79—416no—
536C22×D79—88no—
537C22×D79—816no—
538C22×D79—88no—
539C22×D79H(5,𝔽2)14yes—
540C22×D79C2514yes—
541C22×D79C2512yes—
542C22×D79C2514yes—
543C22×D79C2512yes—
544C22×D79C2514yes—
545C22×D79C2512yes—
546Q8×C79—44no—
547D4×C79—216no—
548D4×C79—44no—
549C2×C4×C79—22no—
550C2×C4×C79—24no—
551C2×C4×C79—24no—
552C2×C4×C79—24no—
553C2×C4×C79—24no—
554C2×C4×C79—24no—
555C2×C4×C79—216no—
556C2×C4×C79—48no—
557C2×C4×C79—44no—
558C2×C4×C79C2512yes—
559C2×C4×C79C2514yes—
560C2×C4×C79C2514yes—
561C2×C4×C79C2514yes—
562C2×C4×C79C2514yes—
563C2×C4×C79C2514yes—
564C22⋊D79—216no—
565C22⋊D79—216no—
566C22⋊D79—216no—
567C22⋊D79—48no—
568C22⋊D79—44no—
569C22⋊D79—44no—
570C22⋊D79—48no—
571C22⋊D79—48no—
572C22⋊D79—48no—
573C2×Dic79—22no—
574C2×Dic79—24no—
575C2×Dic79—24no—
576C2×Dic79—24no—
577C2×Dic79—48no—
578C2×Dic79C2514yes—
579C2×Dic79C2514yes—
580C2×Dic79C2514yes—
581C2×Dic79C2512yes—
582D316—216no—
583D316—216no—
584D316—48no—
585D316—44no—
586D316—48no—
587D316—48no—
588D316—48no—
589D316—48no—
590D316—48no—
591D316—48no—
592D316—48no—
593D316—48no—
594D316—48no—
595D316—44no—
596C4×D79—28no—
597C4×D79—48no—
598C4×D79—48no—
599C4×D79—48no—
600C4×D79—48no—
601C4×D79—48no—
602Dic158—48no—
603C22×C79—24no—
604C22×C79—24no—
605C22×C79—216no—
606C22×C79—24no—
607C22×C79—24no—
608C22×C79—22no—
609C22×C79—22no—
610C22×C79—416no—
611C22×C79—44no—
612C22×C79—44no—
613C22×C79C2×H(5,𝔽2)12yes—
614C22×C79C2×H(5,𝔽2)18yes—
615C22×C79C2×H(5,𝔽2)14yes—
616C22×C79C2611yescharacteristic
617C2×D79—24no—
618C2×D79—28no—
619C2×D79—24no—
620C2×D79—24no—
621C2×D79—24no—
622C2×D79—22no—
623C2×D79—24no—
624C2×D79—22no—
625C2×D79—24no—
626C2×D79—24no—
627C2×D79—24no—
628C2×D79—24no—
629C2×D79—24no—
630C2×D79—24no—
631C2×D79—24no—
632C2×D79—432no—
633C2×D79—416no—
634C2×D79—432no—
635C2×D79—416no—
636C2×D79—48no—
637C2×D79—44no—
638C2×D79—48no—
639C2×D79—44no—
640C2×D79—48no—
641C2×D79—88no—
642C2×D79—816no—
643C2×D79—88no—
644C2×D79C2×H(5,𝔽2)14yes—
645C4×C79—24no—
646C4×C79—24no—
647C4×C79—24no—
648C4×C79—24no—
649C4×C79—24no—
650C4×C79—22no—
651Dic79—24no—
652Dic79—24no—
653Dic79—24no—
654Dic79—22no—
655C2×#3532—791nomaximal, Sylow
656C2×C79—28no—
657C2×C79—42no—
658C2×C79—42no—
659C2×C79#353214yescomplemented
660C2×C79C22×H(5,𝔽2)11yescharacteristic
661C2×C79C22×H(5,𝔽2)12yes—
662D79—24no—
663D79—44no—
664D79—42no—
665D79—44no—
666D79—42no—
667D79—44no—
668#3532—7932no—
669C2×H(3,𝔽4)—791no—
670C2×#560—792no—
671C2×#560—791no—
672C2×#551—792no—
673C2×#551D7911yescharacteristic, complemented
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—792no—
685C2×#534—791no—
686C22×#120—791no—
687C22×#120—792no—
688C79C2×#353211yescharacteristic, complemented, Sylow
689C26—791no—
690C22×#41—791no—
691C22×#41—792no—
692C23×D4—792no—
693C23×D4—791no—
694C23×D4—792no—
695C23×D4—792no—
696C23×D4—792no—
697C23×D4—792no—
698C23×D4—791no—
699H(3,𝔽4)—7916no—
700#560—7932no—
701#560—7916no—
702#551—7932no—
703#551C2×D79116yescomplemented
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—7932no—
715#534—7916no—
716C2×#127—791no—
717C2×#127—791no—
718C2×#127—792no—
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×#124C2×D7911yescharacteristic, complemented
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⋊Q8C2×D7912yescomplemented
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×#121—792no—
756C2×#121—792no—
757C2×#121—792no—
758C2×#120—791no—
759C2×#120—792no—
760C2×#120—791no—
761C2×#120—791no—
762C2×#120—7916no—
763C2×#120—792no—
764C2×#120—792no—
765C2×#120—792no—
766C2×#120—792no—
767C2×#120—792no—
768C2×#120—792no—
769C2×#120—792no—
770C2×#120—792no—
771C2×#120—791no—
772C2×#120—792no—
773C2×#120—792no—
774C2×#120—792no—
775C2×#120—7932no—
776C2×#120—791no—
777C2×#120—792no—
778C2×#120—792no—
779C2×#120C2×D7911yescharacteristic
780C2×C4×D4—792no—
781C2×C4×D4—792no—
782C2×C4×D4—792no—
783C2×C4×D4—792no—
784C2×C4×D4—792no—
785C2×C4×D4C2×D7912yescomplemented
786C2×#117—791no—
787C2×#117C2×D7912yescomplemented
788C22×C22⋊C4—792no—
789C22×C22⋊C4—792no—
790C22×C22⋊C4—791no—
791C22×C22⋊C4—792no—
792C22×C22⋊C4—792no—
793C22×C22⋊C4—791no—
794C22×C22⋊C4C2×D7912yescomplemented
795C25—3168no—
796C25—3164no—
797C25—791no—
798C25—798no—
799C25—791no—
800C25—791no—
801C25—792no—
802C25—791no—
803C25—792no—
804C25—792no—
805C25C22×D7911yescharacteristic
806C2×#41—3168no—
807C2×#41—3164no—
808C2×#41—798no—
809C2×#41—7916no—
810C22×Q8—792no—
811C22×Q8C22×D7911yescharacteristic, complemented
812C22×D4—3168no—
813C22×D4—3168no—
814C22×D4—3164no—
815C22×D4—3168no—
816C22×D4—3168no—
817C22×D4—3168no—
818C22×D4—3164no—
819C22×D4—791no—
820C22×D4—792no—
821C22×D4—792no—
822C22×D4—791no—
823C22×D4—792no—
824C22×D4—7916no—
825C22×D4—792no—
826C22×D4—798no—
827C22×D4—7916no—
828C22×D4—7916no—
829C22×D4—792no—
830C22×D4—792no—
831C22×D4—792no—
832C22×D4—792no—
833C22×D4—792no—
834C22×D4—792no—
835C22×D4—792no—
836C22×D4—792no—
837C22×D4—792no—
838C22×D4—791no—
839C22×D4—792no—
840C22×D4—791no—
841C22×D4—792no—
842C22×D4—7916no—
843C22×D4—7916no—
844C22×D4—792no—
845C22×D4—792no—
846C22×D4—792no—
847C22×D4—792no—
848C22×D4—798no—
849C22×D4C22×D7912yes—
850C22×D4C22×D7911yescharacteristic
851C23×C4—792no—
852C23×C4—792no—
853C23×C4—792no—
854C23×C4—792no—
855C23×C4—792no—
856C23×C4—792no—
857C23×C4—791no—
858C23×C4C22×D7912yes—
859C23×C4C22×D7912yes—
860C23×C4C22×D7911yescharacteristic, complemented
861#127—798no—
862#127—798no—
863#127—7916no—
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#124C22×D7918yescomplemented
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⋊Q8C22×D79116yescomplemented
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#121—7916no—
901#121—7916no—
902#121—7916no—
903#120—798no—
904#120—7916no—
905#120—798no—
906#120—798no—
907#120—7916no—
908#120—7916no—
909#120—7916no—
910#120—7916no—
911#120—7916no—
912#120—7916no—
913#120—7916no—
914#120—7916no—
915#120—798no—
916#120—7916no—
917#120—7916no—
918#120—7916no—
919#120—798no—
920#120—7916no—
921#120—7916no—
922#120C22×D7918yes—
923C4×D4—7916no—
924C4×D4—7916no—
925C4×D4—7916no—
926C4×D4—7916no—
927C4×D4—7916no—
928C4×D4C22×D79116yescomplemented
929#117—798no—
930#117C22×D79116yescomplemented
931C2×C4⋊C4—792no—
932C2×C4⋊C4—792no—
933C2×C4⋊C4—792no—
934C2×C4⋊C4—792no—
935C2×C4⋊C4—792no—
936C2×C4⋊C4C22×D7912yescomplemented
937C2×C4⋊C4C22×D7912yescomplemented
938C2×C4⋊C4C22×D7912yescomplemented
939C2×C4⋊C4C22×D7912yescomplemented
940C2×C22⋊C4—792no—
941C2×C22⋊C4—791no—
942C2×C22⋊C4—791no—
943C2×C22⋊C4—792no—
944C2×C22⋊C4—792no—
945C2×C22⋊C4—792no—
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—7916no—
955C2×C22⋊C4—7916no—
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—792no—
963C2×C22⋊C4—798no—
964C2×C22⋊C4—7916no—
965C2×C22⋊C4—7916no—
966C2×C22⋊C4—798no—
967C2×C22⋊C4C22×D7912yes—
968C2×C22⋊C4C22×D7912yes—
969C2×C22⋊C4C22×D7911yescharacteristic
970C2×C22⋊C4C22×D7912yes—
971C2×C22⋊C4C22×D7912yes—
972C2×C22⋊C4C22×D7912yes—
973C2×C22⋊C4C22×D79116yescomplemented
974C2×C22⋊C4C22×D7911yescharacteristic, complemented
975C2×C22⋊C4C22×D7912yescomplemented
976C2×C42—791no—
977C2×C42—792no—
978C2×C42C22×D7911yescharacteristic, complemented
979C2×C42C22×D7912yescomplemented
980C24—28no—
981C24—42no—
982C24—3164no—
983C24—3164no—
984C24—3164no—
985C24—3162no—
986C24—3164no—
987C24—31632no—
988C24—3164no—
989C24—3164no—
990C24—3164no—
991C24—3162no—
992C24—3164no—
993C24—3164no—
994C24—31664no—
995C24—31616no—
996C24—794no—
997C24—794no—
998C24—794no—
999C24—798no—
1000C24—794no—
1001C24—798no—
1002C24—798no—
1003C24—791no—
1004C24—792no—
1005C24—791no—
1006C24—792no—
1007C24—792no—
1008C24—791no—
1009C24—1588no—
1010C24—1584no—
1011C24—1584no—
1012C24—1588no—
1013C24—1588no—
1014C24—1588no—
1015C24C23×D7911yescharacteristic
1016C24C23×D7911yescharacteristic
1017C24C23×D7914yes—
1018C24C23×D7912yes—
1019#41—31632no—
1020#41—31616no—
1021C2×Q8—42no—
1022C2×Q8—3164no—
1023C2×Q8—798no—
1024C2×Q8C23×D7914yescomplemented
1025C2×D4—28no—
1026C2×D4—42no—
1027C2×D4—3164no—
1028C2×D4—3164no—
1029C2×D4—3164no—
1030C2×D4—3162no—
1031C2×D4—3164no—
1032C2×D4—3164no—
1033C2×D4—3164no—
1034C2×D4—3164no—
1035C2×D4—31632no—
1036C2×D4—3164no—
1037C2×D4—3164no—
1038C2×D4—3162no—
1039C2×D4—3164no—
1040C2×D4—31632no—
1041C2×D4—31616no—
1042C2×D4—31632no—
1043C2×D4—31632no—
1044C2×D4—31632no—
1045C2×D4—31616no—
1046C2×D4—3162no—
1047C2×D4—3162no—
1048C2×D4—3164no—
1049C2×D4—3164no—
1050C2×D4—3164no—
1051C2×D4—3164no—
1052C2×D4—794no—
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—798no—
1065C2×D4—798no—
1066C2×D4—798no—
1067C2×D4—794no—
1068C2×D4—798no—
1069C2×D4—794no—
1070C2×D4—798no—
1071C2×D4—798no—
1072C2×D4—798no—
1073C2×D4—798no—
1074C2×D4—798no—
1075C2×D4—1588no—
1076C2×D4—1588no—
1077C2×D4—1588no—
1078C2×D4—1588no—
1079C2×D4—1588no—
1080C2×D4C23×D7918yes—
1081C2×D4C23×D7914yes—
1082C22×C4—28no—
1083C22×C4—44no—
1084C22×C4—42no—
1085C22×C4—3164no—
1086C22×C4—3164no—
1087C22×C4—3164no—
1088C22×C4—3164no—
1089C22×C4—3164no—
1090C22×C4—3164no—
1091C22×C4—798no—
1092C22×C4—798no—
1093C22×C4—798no—
1094C22×C4—798no—
1095C22×C4—798no—
1096C22×C4—798no—
1097C22×C4—792no—
1098C22×C4—792no—
1099C22×C4—792no—
1100C22×C4—791no—
1101C22×C4—794no—
1102C22×C4—1584no—
1103C22×C4C23×D7918yes—
1104C22×C4C23×D7911yescharacteristic
1105C22×C4C23×D7912yes—
1106C22×C4C23×D7912yes—
1107C22×C4C23×D7912yes—
1108C22×C4C23×D7912yes—
1109C22×C4C23×D7912yes—
1110C22×C4C23×D7918yes—
1111C22×C4C23×D7914yescomplemented
1112C4⋊C4—798no—
1113C4⋊C4—798no—
1114C4⋊C4—798no—
1115C4⋊C4—798no—
1116C4⋊C4—798no—
1117C4⋊C4C23×D7918yescomplemented
1118C4⋊C4C23×D7918yescomplemented
1119C4⋊C4C23×D7918yescomplemented
1120C4⋊C4C23×D7918yescomplemented
1121C22⋊C4—798no—
1122C22⋊C4—794no—
1123C22⋊C4—794no—
1124C22⋊C4—798no—
1125C22⋊C4—798no—
1126C22⋊C4—798no—
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⋊C4C23×D7918yes—
1143C22⋊C4C23×D7918yes—
1144C22⋊C4C23×D7914yes—
1145C22⋊C4C23×D7918yes—
1146C22⋊C4C23×D7918yes—
1147C22⋊C4C23×D7918yes—
1148C22⋊C4C23×D7914yescomplemented
1149C22⋊C4C23×D7918yescomplemented
1150C42—794no—
1151C42—798no—
1152C42C23×D7914yescomplemented
1153C42C23×D7918yescomplemented
1154C23—24no—
1155C23—24no—
1156C23—22no—
1157C23—22no—
1158C23—24no—
1159C23—216no—
1160C23—24no—
1161C23—44no—
1162C23—416no—
1163C23—31632no—
1164C23—31632no—
1165C23—3168no—
1166C23—3168no—
1167C23—3168no—
1168C23—3164no—
1169C23—3168no—
1170C23—3168no—
1171C23—3168no—
1172C23—3168no—
1173C23—3164no—
1174C23—3168no—
1175C23—3168no—
1176C23—316128no—
1177C23—31616no—
1178C23—31616no—
1179C23—794no—
1180C23—792no—
1181C23—794no—
1182C23—792no—
1183C23—794no—
1184C23—794no—
1185C23—792no—
1186C23—63216no—
1187C23—6328no—
1188C23—6328no—
1189C23—15816no—
1190C23—1588no—
1191C23—1588no—
1192C23—1584no—
1193C23—1582no—
1194C23—1584no—
1195C23—1582no—
1196C23—1584no—
1197C23—1584no—
1198C23—1584no—
1199C23—1584no—
1200C23—1584no—
1201C23—1584no—
1202C23—15816no—
1203C23—15816no—
1204C23—1584no—
1205C23—1584no—
1206C23—1584no—
1207C23—15816no—
1208C23—1584no—
1209C23#1457920718yes—
1210C23C24×D7912yes—
1211C23C24×D7912yes—
1212C23C24×D7914yes—
1213C23C24×D7911yescharacteristic
1214Q8—44no—
1215Q8—3168no—
1216D4—216no—
1217D4—44no—
1218D4—3168no—
1219D4—3168no—
1220D4—3168no—
1221D4—3164no—
1222D4—3168no—
1223D4—3168no—
1224D4—3168no—
1225D4—3168no—
1226D4—3168no—
1227D4—3168no—
1228D4—3164no—
1229D4—3168no—
1230D4—3164no—
1231D4—3164no—
1232D4—3168no—
1233D4—3168no—
1234D4—3168no—
1235D4—3168no—
1236D4—15816no—
1237D4—15816no—
1238D4—15816no—
1239D4—15816no—
1240D4—15816no—
1241C2×C4—24no—
1242C2×C4—24no—
1243C2×C4—22no—
1244C2×C4—24no—
1245C2×C4—24no—
1246C2×C4—216no—
1247C2×C4—24no—
1248C2×C4—48no—
1249C2×C4—44no—
1250C2×C4—3168no—
1251C2×C4—3168no—
1252C2×C4—3168no—
1253C2×C4—3168no—
1254C2×C4—3168no—
1255C2×C4—3168no—
1256C2×C4—794no—
1257C2×C4—794no—
1258C2×C4—794no—
1259C2×C4—792no—
1260C2×C4—1588no—
1261C2×C4—1582no—
1262C2×C4—1584no—
1263C2×C4—1584no—
1264C2×C4—1584no—
1265C2×C4C24×D7912yes—
1266C2×C4C24×D7914yes—
1267C2×C4C24×D7914yes—
1268C2×C4C24×D7914yes—
1269C2×C4C24×D7914yes—
1270C2×C4C24×D7914yes—
1271C22—216no—
1272C22—24no—
1273C22—24no—
1274C22—22no—
1275C22—22no—
1276C22—24no—
1277C22—24no—
1278C22—416no—
1279C22—44no—
1280C22—44no—
1281C22—31632no—
1282C22—31632no—
1283C22—31616no—
1284C22—31616no—
1285C22—3164no—
1286C22—3168no—
1287C22—3168no—
1288C22—3168no—
1289C22—3164no—
1290C22—794no—
1291C22—63216no—
1292C22—6328no—
1293C22—6328no—
1294C22—1584no—
1295C22—1582no—
1296C22—1584no—
1297C22—1584no—
1298C22—1582no—
1299C22—1584no—
1300C22—1584no—
1301C22—1584no—
1302C22—1584no—
1303C22—1584no—
1304C22—1584no—
1305C22—1584no—
1306C22—1584no—
1307C22—1588no—
1308C22—1584no—
1309C22H(5,𝔽2)×D7912yes—
1310C22C2×#1457920718yes—
1311C22C2×#1457920714yes—
1312C22C25×D7911yescharacteristic
1313C4—24no—
1314C4—24no—
1315C4—22no—
1316C4—24no—
1317C4—24no—
1318C4—24no—
1319C4—1582no—
1320C4—1584no—
1321C4—1584no—
1322C4—1584no—
1323C2—28no—
1324C2—42no—
1325C2—42no—
1326C2—3162no—
1327C2—3164no—
1328C2—3164no—
1329C2—3164no—
1330C2—3162no—
1331C2—1584no—
1332C2#2377755614yesdirect product factor
1333C2C2×H(5,𝔽2)×D7911yescharacteristic
1334C2C22×#1457920712yes—
subgroupG/H
centerC23C24×D79
commutator, cosocleC22×C79C26
FrattiniC22C25×D79
FittingC2×#551×C79C2
socleC23×C79C25
hypercenterC2×#551D79
hypocenterC79C2×#3532
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C23 ◁ C2×#551

Complements

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

NH ≅ G/Ntype
1. #23777556C2direct (N × H)
2. C2×#19099305C2semidirect
3. C2×#19099304C2semidirect
4. C2×#19099303C2semidirect
5. C2×#19099237C2semidirect
6. C2×#19099205C2semidirect
7. C2×#19099204C2semidirect
8. C2×#19099203C2semidirect
9. C2×D4×D316C2semidirect
10. C2×#19099195C2semidirect
11. C2×#19099153C2semidirect
12. C2×#19099152C2semidirect
13. C2×#19099146C2semidirect
14. C2×#19099132C2semidirect
15. C2×#19099131C2semidirect
16. C2×#19099124C2semidirect
17. C2×#19099124C2semidirect
18. C22×#14579131C2semidirect
19. C2×#120×D79C2semidirect
20. C2×#551×C79C2semidirect
21. C25×D79C22semidirect
22. C22×#11929625C22semidirect
23. C22×#11929624C22semidirect
24. C23×D316C22semidirect
25. C23×D316C22semidirect
26. C23×D316C22semidirect
27. C23×C22⋊D79C22semidirect
28. C22×D4×D79C22semidirect
29. C22×D4×D79C22semidirect
30. C22×D4×D79C22semidirect
31. #19099305C22semidirect
32. #19099304C22semidirect
33. #19099303C22semidirect
34. #19099237C22semidirect
35. #19099205C22semidirect
36. #19099204C22semidirect
37. #19099203C22semidirect
38. D4×D316C22semidirect
39. #19099195C22semidirect
40. #19099153C22semidirect
41. #19099152C22semidirect
42. #19099146C22semidirect
43. #19099132C22semidirect
44. #19099131C22semidirect
45. #19099124C22semidirect
46. #19099124C22semidirect
47. C2×#14579158C22semidirect
48. C2×#14579158C22semidirect
49. C2×#14579157C22semidirect
50. C2×#14579156C22semidirect
51. C2×#14579156C22semidirect
52. C2×#14579155C22semidirect
53. C2×#14579150C22semidirect
54. C2×#14579150C22semidirect
55. C2×#14579149C22semidirect
56. C2×#14579149C22semidirect
57. C2×#14579147C22semidirect
58. C2×#14579147C22semidirect
59. C2×#14579146C22semidirect
60. C2×#14579146C22semidirect
61. C2×#14579146C22semidirect
62. C2×#14579146C22semidirect
63. C2×#14579146C22semidirect
64. C2×#14579144C22semidirect
65. C2×#14579144C22semidirect
66. C2×#14579143C22semidirect
67. C2×#14579139C22semidirect
68. C2×#14579138C22semidirect
69. C2×#14579136C22semidirect
70. C2×#14579136C22semidirect
71. C2×#14579136C22semidirect
72. C2×#14579136C22semidirect
73. C2×#14579136C22semidirect
74. C2×#14579136C22semidirect
75. C2×#14579136C22semidirect
76. C2×#14579135C22semidirect
77. C2×#14579135C22semidirect
78. C2×#14579134C22semidirect
79. C2×#14579134C22semidirect
80. C2×#14579134C22semidirect
81. C2×#14579134C22semidirect
82. C2×#14579134C22semidirect
83. C2×#14579133C22semidirect
85. C2×#14579131C22semidirect
86. C2×#14579131C22semidirect
87. C2×#14579131C22semidirect
88. C2×#14579131C22semidirect
89. C2×#14579131C22semidirect
90. C2×#14579131C22semidirect
91. C2×#14579131C22semidirect
92. C2×#14579131C22semidirect
93. C2×#14579131C22semidirect
94. C2×#14579131C22semidirect
95. C2×#14579131C22semidirect
96. C2×#14579131C22semidirect
97. C2×#14579131C22semidirect
98. C2×#14579131C22semidirect
99. C2×#14579131C22semidirect
100. C2×#14579130C22semidirect
101. C2×#14579129C22semidirect
102. C2×#14579129C22semidirect
103. C2×#14579129C22semidirect
104. #120×D79C22semidirect
105. C2×C4×D316C22semidirect
106. C2×#14579123C22semidirect
107. C2×C4×C22⋊D79C22semidirect
108. C2×(C22⋊D79)⋊C4C22semidirect
109. C2×(C22⋊D79)⋊C4C22semidirect
110. C2×#14579118C22semidirect
111. C22×(C2×D79)⋊C4C22semidirect
112. C22×(C2×D79)⋊C4C22semidirect
113. C2×C22⋊C4×D79C22semidirect
114. C2×C22⋊C4×D79C22semidirect
115. C2×C22⋊C4×D79C22semidirect
116. C2×C22⋊C4×D79C22semidirect
117. #551×C79C22semidirect
118. C2×#126×C79C22semidirect
119. C2×#124×C79C22semidirect
120. C2×#123×C79C22semidirect
121. C2×#123×C79C22semidirect
122. C2×C22⋊Q8×C79C22semidirect
124. C2×C4×D4×C79C22semidirect
125. C2×#117×C79C22semidirect
126. C22×C22⋊C4×C79C22semidirect
135. C24×D79C23semidirect
136. C24×D79C23semidirect
138. C2×#11929625C23semidirect
140. C2×#11929624C23semidirect
141. C22×Dic158C23semidirect
155. C22×D316C23semidirect
156. C22×D316C23semidirect
157. C22×D316C23semidirect
158. C22×D316C23semidirect
159. C22×D316C23semidirect
160. C22×D316C23semidirect
161. C22×D316C23semidirect
171. C22×C22⋊D79C23semidirect
172. C22×C22⋊D79C23semidirect
176. C2×D4×D79C23semidirect
177. C2×D4×D79C23semidirect
178. C2×D4×D79C23semidirect
182. C22×C4×D79C23semidirect
183. C22×C4×D79C23semidirect
184. C22×C4×D79C23semidirect
185. C22×C4×D79C23semidirect
186. #14579158C23semidirect
187. #14579158C23semidirect
188. #14579157C23semidirect
189. #14579156C23semidirect
190. #14579156C23semidirect
191. #14579155C23semidirect
192. #14579150C23semidirect
193. #14579150C23semidirect
194. #14579149C23semidirect
195. #14579149C23semidirect
196. #14579147C23semidirect
197. #14579147C23semidirect
198. #14579146C23semidirect
199. #14579146C23semidirect
200. #14579146C23semidirect
201. #14579146C23semidirect
202. #14579146C23semidirect
203. #14579144C23semidirect
204. #14579144C23semidirect
205. #14579143C23semidirect
206. #14579139C23semidirect
207. #14579138C23semidirect
208. #14579136C23semidirect
209. #14579136C23semidirect
210. #14579136C23semidirect
211. #14579136C23semidirect
212. #14579136C23semidirect
213. #14579136C23semidirect
214. #14579136C23semidirect
215. #14579135C23semidirect
216. #14579135C23semidirect
217. #14579134C23semidirect
218. #14579134C23semidirect
219. #14579134C23semidirect
220. #14579134C23semidirect
221. #14579134C23semidirect
222. #14579133C23semidirect
224. #14579131C23semidirect
225. #14579131C23semidirect
226. #14579131C23semidirect
227. #14579131C23semidirect
228. #14579131C23semidirect
229. #14579131C23semidirect
230. #14579131C23semidirect
231. #14579131C23semidirect
232. #14579131C23semidirect
233. #14579131C23semidirect
234. #14579131C23semidirect
235. #14579131C23semidirect
236. #14579131C23semidirect
237. #14579131C23semidirect
238. #14579130C23semidirect
239. #14579129C23semidirect
240. #14579129C23semidirect
241. #14579129C23semidirect
242. C4×D316C23semidirect
243. #14579123C23semidirect
244. C4×C22⋊D79C23semidirect
245. (C22⋊D79)⋊C4C23semidirect
246. (C22⋊D79)⋊C4C23semidirect
247. #14579118C23semidirect
248. C2×C4⋊Dic79C23semidirect
249. C2×Dic79⋊C4C23semidirect
250. C2×Dic79⋊C4C23semidirect
251. C2×Dic79⋊C4C23semidirect
252. C2×Dic79⋊C4C23semidirect
255. 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. C2×(C2×D79)⋊C4C23semidirect
274. C2×(C2×D79)⋊C4C23semidirect
275. C2×(C2×D79)⋊C4C23semidirect
276. C22⋊C4×D79C23semidirect
277. C22⋊C4×D79C23semidirect
278. C22⋊C4×D79C23semidirect
279. C22⋊C4×D79C23semidirect
280. C2×C4×Dic79C23semidirect
281. C2×C4×Dic79C23semidirect
283. C22×Q8×C79C23semidirect
288. C23×C4×C79C23semidirect
289. #126×C79C23semidirect
290. #124×C79C23semidirect
291. #123×C79C23semidirect
292. #123×C79C23semidirect
293. C22⋊Q8×C79C23semidirect
295. C4×D4×C79C23semidirect
296. #117×C79C23semidirect
297. C2×C4⋊C4×C79C23semidirect
298. C2×C4⋊C4×C79C23semidirect
299. C2×C4⋊C4×C79C23semidirect
300. C2×C4⋊C4×C79C23semidirect
307. C2×C22⋊C4×C79C23semidirect
308. C2×C22⋊C4×C79C23semidirect
309. C2×C22⋊C4×C79C23semidirect
310. C2×C42×C79C23semidirect
311. C2×C42×C79C23semidirect
344. C23×D79C24semidirect
348. C2×Dic158C24semidirect
376. C2×D316C24semidirect
377. C2×D316C24semidirect
378. C2×D316C24semidirect
379. C2×D316C24semidirect
398. C2×C22⋊D79C24semidirect
416. C2×C4×D79C24semidirect
417. C2×C4×D79C24semidirect
418. C2×C4×D79C24semidirect
419. C2×C4×D79C24semidirect
420. C4⋊Dic79C24semidirect
421. Dic79⋊C4C24semidirect
422. Dic79⋊C4C24semidirect
423. Dic79⋊C4C24semidirect
424. Dic79⋊C4C24semidirect
427. C22⋊Dic79C24semidirect
439. (C2×D79)⋊C4C24semidirect
440. (C2×D79)⋊C4C24semidirect
441. (C2×D79)⋊C4C24semidirect
442. (C2×D79)⋊C4C24semidirect
443. (C2×D79)⋊C4C24semidirect
444. (C2×D79)⋊C4C24semidirect
445. (C2×D79)⋊C4C24semidirect
446. C4×Dic79C24semidirect
447. C4×Dic79C24semidirect
455. C2×Q8×C79C24semidirect
471. C22×C4×C79C24semidirect
472. C4⋊C4×C79C24semidirect
473. C4⋊C4×C79C24semidirect
474. C4⋊C4×C79C24semidirect
475. C4⋊C4×C79C24semidirect
482. C22⋊C4×C79C24semidirect
483. C22⋊C4×C79C24semidirect
484. C42×C79C24semidirect
485. C42×C79C24semidirect
659. C2×C79#3532semidirect
673. C2×#551D79semidirect
688. C79C2×#3532semidirect
703. #551C2×D79semidirect
722. C2×#126C2×D79semidirect
729. C2×#124C2×D79semidirect
738. C2×#123C2×D79semidirect
739. C2×#123C2×D79semidirect
742. C2×C22⋊Q8C2×D79semidirect
785. C2×C4×D4C2×D79semidirect
787. C2×#117C2×D79semidirect
794. C22×C22⋊C4C2×D79semidirect
811. C22×Q8C22×D79semidirect
860. C23×C4C22×D79semidirect
867. #126C22×D79semidirect
874. #124C22×D79semidirect
883. #123C22×D79semidirect
884. #123C22×D79semidirect
887. C22⋊Q8C22×D79semidirect
928. C4×D4C22×D79semidirect
930. #117C22×D79semidirect
936. C2×C4⋊C4C22×D79semidirect
937. C2×C4⋊C4C22×D79semidirect
938. C2×C4⋊C4C22×D79semidirect
939. C2×C4⋊C4C22×D79semidirect
973. C2×C22⋊C4C22×D79semidirect
974. C2×C22⋊C4C22×D79semidirect
975. C2×C22⋊C4C22×D79semidirect
978. C2×C42C22×D79semidirect
979. C2×C42C22×D79semidirect
1024. C2×Q8C23×D79semidirect
1111. C22×C4C23×D79semidirect
1117. C4⋊C4C23×D79semidirect
1118. C4⋊C4C23×D79semidirect
1119. C4⋊C4C23×D79semidirect
1120. C4⋊C4C23×D79semidirect
1148. C22⋊C4C23×D79semidirect
1149. C22⋊C4C23×D79semidirect
1152. C42C23×D79semidirect
1153. C42C23×D79semidirect
1332. C2#23777556direct (N × H)

Maximal subgroups

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

subgroupindex
#237775562
C2×#190993052
C2×#190993042
C2×#190993032
C2×#190992372
C2×#190992052
C2×#190992042
C2×#190992032
C2×D4×D3162
C2×#190991952
C2×#190991532
C2×#190991522
C2×#190991462
C2×#190991322
C2×#190991312
C2×#190991242
C22×#145791312
C2×#120×D792
C2×#551×C792
C2×#353279