Finite Group Databasebeta

← C2×#23777550 #35195386

Subgroups — C2×#23777550 #35195386

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#23777550C2132yesmaximal, direct product factor
2C2×#19099306C211yesmaximal, characteristic, complemented
3C2×#19099301C212yesmaximal, complemented
4C2×#19099300C211yesmaximal, characteristic, complemented
5C2×#19099244C211yesmaximal, characteristic, complemented
6C2×#19099242C212yesmaximal, complemented
7C2×#19099207C212yesmaximal, complemented
8C2×#19099202C212yesmaximal, complemented
9C2×#19099200C212yesmaximal, complemented
10C2×D4×C22⋊D79C212yesmaximal, complemented
11C2×#19099150C212yesmaximal, complemented
12C2×#19099146C212yesmaximal, complemented
13C2×#19099145C212yesmaximal, complemented
14C2×#19099128C212yesmaximal, complemented
15C2×#19099126C211yesmaximal, characteristic, complemented
16C2×#19099123C211yesmaximal, characteristic, complemented
17C2×#19099122C212yesmaximal, complemented
18C22×#14579129C212yesmaximal, complemented
19C2×#120×D79C211yesmaximal, characteristic, complemented
20C2×D42×C79C211yesmaximal, characteristic, complemented
21C25×D79C2211yescharacteristic, complemented
22C22×#11929623C2212yescomplemented
23C22×#11929623C2211yescharacteristic, complemented
24C23×C22⋊D79C2212yescomplemented
25C23×C22⋊D79C2212yescomplemented
26C23×C22⋊D79C2211yescharacteristic, complemented
27C22×D4×D79C2212yescomplemented
28C22×D4×D79C2211yescharacteristic, complemented
29#19099306C22116yescomplemented
30#19099301C22132yescomplemented
31#19099300C22116yescomplemented
32#19099244C22116yescomplemented
33#19099242C22132yescomplemented
34#19099207C22132yescomplemented
35#19099202C22132yescomplemented
36#19099200C22132yescomplemented
37D4×C22⋊D79C22132yescomplemented
38#19099150C22132yescomplemented
39#19099146C22132yescomplemented
40#19099145C22132yescomplemented
41#19099128C22132yescomplemented
42#19099126C22116yescomplemented
43#19099123C22116yescomplemented
44#19099122C22132yescomplemented
45C2×#14579157C2212yescomplemented
46C2×#14579157C2211yescharacteristic, complemented
47C2×#14579156C2212yescomplemented
48C2×#14579156C2212yescomplemented
49C2×#14579155C2212yescomplemented
50C2×#14579154C2212yescomplemented
51C2×#14579149C2211yescharacteristic, complemented
52C2×#14579148C2212yescomplemented
53C2×#14579148C2211yescharacteristic, complemented
54C2×#14579147C2212yescomplemented
55C2×#14579147C2212yescomplemented
56C2×#14579147C2212yescomplemented
57C2×#14579147C2212yescomplemented
58C2×#14579146C2212yescomplemented
59C2×#14579145C2212yescomplemented
60C2×#14579145C2211yescharacteristic, complemented
61C2×#14579144C2212yescomplemented
62C2×#14579144C2212yescomplemented
63C2×#14579143C2212yescomplemented
64C2×#14579142C2212yescomplemented
65C2×#14579142C2211yescharacteristic, complemented
66C2×#14579142C2212yescomplemented
67C2×#14579142C2212yescomplemented
68C2×#14579140C2212yescomplemented
69C2×#14579139C2212yescomplemented
70C2×#14579138C2212yescomplemented
71C2×#14579135C2212yescomplemented
72C2×#14579134C2212yescomplemented
73C2×#14579134C2212yescomplemented
74C2×#14579133C2212yescomplemented
75C2×#14579133C2212yescomplemented
76C2×#14579133C2212yescomplemented
77C2×#14579133C2212yescomplemented
78C2×#14579133C2212yescomplemented
79C2×#14579133C2212yescomplemented
80C2×#14579133C2212yescomplemented
81C2×#14579133C2212yescomplemented
82C2×#14579132C2212yescomplemented
83C2×#14579132C2212yescomplemented
84C2×#14579131C2212yescomplemented
85C2×#14579131C2211yescharacteristic, complemented
86C2×#14579130C2211yescharacteristic, complemented
87C2×#14579130C2212yescomplemented
88C2×#14579130C2212yescomplemented
89C2×#14579130C2211yescharacteristic, complemented
90C2×#14579129C2212yes—
91C2×#14579129C2212yescomplemented
92C2×#14579129C2212yescomplemented
93C2×#14579129C2211yescharacteristic, complemented
94C2×#14579129C2212yescomplemented
95C2×#14579129C2212yescomplemented
96C2×#14579129C2212yescomplemented
97C2×#14579129C2212yescomplemented
98C2×#14579129C2212yescomplemented
99C2×#14579129C2212yescomplemented
100C2×#14579129C2212yescomplemented
101C2×#14579129C22132yescomplemented
102#120×D79C22116yescomplemented
103C2×D4×Dic79C2212yescomplemented
104C2×D4×Dic79C2212yescomplemented
105C2×C4×C22⋊D79C2212yescomplemented
106C2×C4×C22⋊D79C2212yescomplemented
107C2×(C22⋊D79)⋊C4C2212yescomplemented
108C2×#14579118C2211yescharacteristic, complemented
109C2×#14579117C2212yescomplemented
110C22×C22⋊Dic79C2212yescomplemented
111C22×C22⋊Dic79C2212yescomplemented
112C22×(C2×D79)⋊C4C2212yescomplemented
113C22×(C2×D79)⋊C4C2212yescomplemented
114C2×C22⋊C4×D79C2212yescomplemented
115C2×C22⋊C4×D79C2211yescharacteristic, complemented
116C2×C22⋊C4×D79C2211yescharacteristic, complemented
117C23×D4×C79C2212yescomplemented
118C23×D4×C79C2212yescomplemented
119D42×C79C22116yescomplemented
120C2×#127×C79C2211yescharacteristic, complemented
121C2×#121×C79C2212yescomplemented
122C2×#121×C79C2212yescomplemented
123C2×#120×C79C2211yescharacteristic
124C2×#120×C79C2212yescomplemented
125C2×#120×C79C2211yescharacteristic, complemented
126C2×C4×D4×C79C2212yescomplemented
127C24×D79—44no—
128C24×D79—48no—
129C24×D79C2312yes—
130C24×D79C2311yescharacteristic
131C24×D79C2312yes—
132C24×D79C2311yescharacteristic
133C24×D79C2311yescharacteristic
134C24×D79C2318yescomplemented
135C2×#11929623—44no—
136C2×#11929623—48no—
137C2×#11929623C2318yescomplemented
138C2×#11929623C23116yescomplemented
139C22×Dic158C2311yescharacteristic, complemented
140C22×Dic158C2312yescomplemented
141C22×D316C2311yescharacteristic
142C22×D316C2312yes—
143C22×C22⋊D79—48no—
144C22×C22⋊D79—48no—
145C22×C22⋊D79—44no—
146C22×C22⋊D79C2312yes—
147C22×C22⋊D79C2312yes—
148C22×C22⋊D79C2312yes—
149C22×C22⋊D79C2312yes—
150C22×C22⋊D79C2311yescharacteristic
151C22×C22⋊D79C2312yes—
152C22×C22⋊D79C2312yes—
153C22×C22⋊D79C2312yes—
154C22×C22⋊D79C2312yes—
155C22×C22⋊D79C2312yes—
156C22×C22⋊D79C2312yes—
157C22×C22⋊D79C2311yescharacteristic
158C22×C22⋊D79C23116yescomplemented
159C22×C22⋊D79C23116yescomplemented
160C22×C22⋊D79C2312yescomplemented
161C22×C22⋊D79C2312yescomplemented
162C22×C22⋊D79C2318yescomplemented
163C2×D4×D79—44no—
164C2×D4×D79—48no—
165C2×D4×D79C23116yescomplemented
166C2×D4×D79C2318yescomplemented
167C23×Dic79C2312yes—
168C23×Dic79C2312yes—
169C23×Dic79C2312yescomplemented
170C23×Dic79C2312yescomplemented
171C23×Dic79C2311yescharacteristic, complemented
172C22×C4×D79C2311yescharacteristic
173C22×C4×D79C2312yes—
174C22×C4×D79C2312yescomplemented
175#14579157C23116yescomplemented
176#14579157C2318yescomplemented
177#14579156C23116yescomplemented
178#14579156C23116yescomplemented
179#14579155C23116yescomplemented
180#14579154C23116yescomplemented
181#14579149C2318yescomplemented
182#14579148C23116yescomplemented
183#14579148C2318yescomplemented
184#14579147C23116yescomplemented
185#14579147C23116yescomplemented
186#14579147C23116yescomplemented
187#14579147C23116yescomplemented
188#14579146C23116yescomplemented
189#14579145C2318yescomplemented
190#14579145C23116yescomplemented
191#14579144C23116yescomplemented
192#14579144C23116yescomplemented
193#14579143C23116yescomplemented
194#14579142C23116yescomplemented
195#14579142C2318yescomplemented
196#14579142C23116yescomplemented
197#14579142C23116yescomplemented
198#14579140C23116yescomplemented
199#14579139C23116yescomplemented
200#14579138C23116yescomplemented
201#14579135C23116yescomplemented
202#14579134C23116yescomplemented
203#14579134C23116yescomplemented
204#14579133C23116yescomplemented
205#14579133C23116yescomplemented
206#14579133C23116yescomplemented
207#14579133C23116yescomplemented
208#14579133C23116yescomplemented
209#14579133C23116yescomplemented
210#14579133C23116yescomplemented
211#14579133C23116yescomplemented
212#14579132C23116yescomplemented
213#14579132C23116yescomplemented
214#14579131C23116yescomplemented
215#14579131C2318yescomplemented
216#14579130C2318yescomplemented
217#14579130C23116yescomplemented
218#14579130C23116yescomplemented
219#14579130C2318yescomplemented
220#14579129C23116yes—
221#14579129C23116yescomplemented
222#14579129C23116yescomplemented
223#14579129C23116yescomplemented
224#14579129C23116yescomplemented
225#14579129C23116yescomplemented
226#14579129C23116yescomplemented
227#14579129C23116yescomplemented
228#14579129C2318yescomplemented
229#14579129C23116yescomplemented
230#14579129C23116yescomplemented
231D4×Dic79C23116yescomplemented
232D4×Dic79C23116yescomplemented
233C4×C22⋊D79C23116yescomplemented
234C4×C22⋊D79C23116yescomplemented
235(C22⋊D79)⋊C4C23116yescomplemented
236#14579118C2318yescomplemented
237#14579117C23116yescomplemented
238C2×C4⋊Dic79C2312yescomplemented
239C2×C4⋊Dic79C2312yescomplemented
240C2×Dic79⋊C4C2312yescomplemented
241C2×Dic79⋊C4C2312yescomplemented
242C2×Dic79⋊C4C2312yescomplemented
243C2×Dic79⋊C4C2312yescomplemented
244C2×Dic79⋊C4C2312yescomplemented
245C2×Dic79⋊C4C2312yescomplemented
246C2×C22⋊Dic79C2312yes—
247C2×C22⋊Dic79C2311yescharacteristic
248C2×C22⋊Dic79C2312yes—
249C2×C22⋊Dic79C2312yes—
250C2×C22⋊Dic79C2312yes—
251C2×C22⋊Dic79C2312yes—
252C2×C22⋊Dic79C23116yescomplemented
253C2×C22⋊Dic79C23116yescomplemented
254C2×C22⋊Dic79C2311yescharacteristic, complemented
255C2×C22⋊Dic79C2312yescomplemented
256C2×C22⋊Dic79C2312yescomplemented
257C2×C22⋊Dic79C2312yescomplemented
258C2×C22⋊Dic79C2312yescomplemented
259C2×C22⋊Dic79C2312yescomplemented
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)⋊C4C2312yes—
268C2×(C2×D79)⋊C4C2312yes—
269C2×(C2×D79)⋊C4C2312yes—
270C2×(C2×D79)⋊C4C2312yes—
271C2×(C2×D79)⋊C4C23116yescomplemented
272C2×(C2×D79)⋊C4C23116yescomplemented
273C2×(C2×D79)⋊C4C2312yescomplemented
274C22⋊C4×D79C2318yescomplemented
275C22⋊C4×D79C23116yescomplemented
276C22⋊C4×D79C2318yescomplemented
277C2×C4×Dic79C2311yescharacteristic, complemented
278C2×C4×Dic79C2312yescomplemented
279C2×C4×Dic79C2312yescomplemented
280C25×C79C2311yescharacteristic
281C25×C79C2312yes—
282C25×C79C2311yescharacteristic, complemented
283C22×D4×C79—48no—
284C22×D4×C79—48no—
285C22×D4×C79C2312yes—
286C22×D4×C79C2312yes—
287C22×D4×C79C2312yes—
288C22×D4×C79C2311yescharacteristic
289C22×D4×C79C2312yes—
290C22×D4×C79C2312yes—
291C22×D4×C79C23116yescomplemented
292C22×D4×C79C2311yescharacteristic, complemented
293C22×D4×C79C2312yescomplemented
294C22×D4×C79C2312yescomplemented
295C22×D4×C79C23116yescomplemented
296C23×C4×C79C2312yes—
297C23×C4×C79C2312yescomplemented
298#127×C79C2318yescomplemented
299#121×C79C23116yescomplemented
300#121×C79C23116yescomplemented
301#120×C79C2318yes—
302#120×C79C23116yescomplemented
303#120×C79C2318yescomplemented
304C4×D4×C79C23116yescomplemented
305C2×C4⋊C4×C79C2312yescomplemented
306C2×C22⋊C4×C79C2312yes—
307C2×C22⋊C4×C79C2311yescharacteristic
308C2×C22⋊C4×C79C2312yescomplemented
309C2×C22⋊C4×C79C2311yescharacteristic, complemented
310C2×C22⋊C4×C79C2312yescomplemented
311C2×C42×C79C2311yescharacteristic, complemented
312C23×D79—28no—
313C23×D79—28no—
314C23×D79—24no—
315C23×D79—28no—
316C23×D79—24no—
317C23×D79—416no—
318C23×D79—44no—
319C23×D79—44no—
320C23×D79—42no—
321C23×D79—44no—
322C23×D79—44no—
323C23×D79—44no—
324C23×D79—432no—
325C23×D79—44no—
326C23×D79—464no—
327C23×D79C2412yes—
328C23×D79C2411yescharacteristic
329C23×D79C2411yescharacteristic
330C23×D79C2418yes—
331C23×D79C2411yescharacteristic
332C23×D79C2414yes—
333C23×D79C2418yes—
334C23×D79C2414yes—
335C23×D79C2414yes—
336#11929623—416no—
337#11929623—432no—
338C2×Dic158—42no—
339C2×Dic158—44no—
340C2×Dic158C2414yescomplemented
341C2×Dic158C2418yescomplemented
342C2×D316—42no—
343C2×D316—44no—
344C2×D316C2414yes—
345C2×D316C2418yes—
346C2×C22⋊D79—28no—
347C2×C22⋊D79—28no—
348C2×C22⋊D79—28no—
349C2×C22⋊D79—416no—
350C2×C22⋊D79—432no—
351C2×C22⋊D79—44no—
352C2×C22⋊D79—42no—
353C2×C22⋊D79—42no—
354C2×C22⋊D79—44no—
355C2×C22⋊D79—44no—
356C2×C22⋊D79—44no—
357C2×C22⋊D79—44no—
358C2×C22⋊D79—44no—
359C2×C22⋊D79—44no—
360C2×C22⋊D79—44no—
361C2×C22⋊D79—432no—
362C2×C22⋊D79—44no—
363C2×C22⋊D79C2418yes—
364C2×C22⋊D79C2418yes—
365C2×C22⋊D79C2418yes—
366C2×C22⋊D79C2418yes—
367C2×C22⋊D79C2414yes—
368C2×C22⋊D79C2418yes—
369C2×C22⋊D79C2418yes—
370C2×C22⋊D79C2418yes—
371C2×C22⋊D79C2418yes—
372C2×C22⋊D79C2418yes—
373C2×C22⋊D79C2418yes—
374C2×C22⋊D79C2414yes—
375C2×C22⋊D79C2418yescomplemented
376C2×C22⋊D79C2418yescomplemented
377D4×D79—432no—
378D4×D79—416no—
379C22×Dic79—28no—
380C22×Dic79—44no—
381C22×Dic79—44no—
382C22×Dic79—44no—
383C22×Dic79—42no—
384C22×Dic79C2412yes—
385C22×Dic79C2412yes—
386C22×Dic79C2412yes—
387C22×Dic79C2418yes—
388C22×Dic79C2412yes—
389C22×Dic79C2412yes—
390C22×Dic79C2411yescharacteristic
391C22×Dic79C2418yes—
392C22×Dic79C2418yescomplemented
393C22×Dic79C2418yescomplemented
394C22×Dic79C2414yescomplemented
395C2×C4×D79—24no—
396C2×C4×D79—44no—
397C2×C4×D79—44no—
398C2×C4×D79C2414yes—
399C2×C4×D79C2418yes—
400C2×C4×D79C2418yescomplemented
401C4⋊Dic79C2418yescomplemented
402C4⋊Dic79C2418yescomplemented
403Dic79⋊C4C2418yescomplemented
404Dic79⋊C4C2418yescomplemented
405Dic79⋊C4C2418yescomplemented
406Dic79⋊C4C2418yescomplemented
407Dic79⋊C4C2418yescomplemented
408Dic79⋊C4C2418yescomplemented
409C22⋊Dic79C2418yes—
410C22⋊Dic79C2414yes—
411C22⋊Dic79C2418yes—
412C22⋊Dic79C2418yes—
413C22⋊Dic79C2418yes—
414C22⋊Dic79C2418yes—
415C22⋊Dic79C2414yescomplemented
416C22⋊Dic79C2418yescomplemented
417C22⋊Dic79C2418yescomplemented
418C22⋊Dic79C2418yescomplemented
419C22⋊Dic79C2418yescomplemented
420C22⋊Dic79C2418yescomplemented
421(C2×D79)⋊C4C2418yes—
422(C2×D79)⋊C4C2418yes—
423(C2×D79)⋊C4C2418yes—
424(C2×D79)⋊C4C2418yes—
425(C2×D79)⋊C4C2418yes—
426(C2×D79)⋊C4C2418yes—
427(C2×D79)⋊C4C2418yes—
428(C2×D79)⋊C4C2418yes—
429(C2×D79)⋊C4C2418yes—
430(C2×D79)⋊C4C2418yes—
431(C2×D79)⋊C4C2418yes—
432(C2×D79)⋊C4C2418yescomplemented
433C4×Dic79C2414yescomplemented
434C4×Dic79C2418yescomplemented
435C4×Dic79C2418yescomplemented
436C24×C79—28no—
437C24×C79—28no—
438C24×C79—42no—
439C24×C79—44no—
440C24×C79—44no—
441C24×C79—44no—
442C24×C79—42no—
443C24×C79C2411yescharacteristic
444C24×C79C2411yescharacteristic
445C24×C79C2412yes—
446C24×C79C2412yes—
447C24×C79C2414yes—
448C24×C79C2412yes—
449C24×C79C2418yes—
450C24×C79C2414yescomplemented
451C2×D4×C79—28no—
452C2×D4×C79—28no—
453C2×D4×C79—28no—
454C2×D4×C79—42no—
455C2×D4×C79—44no—
456C2×D4×C79—44no—
457C2×D4×C79—44no—
458C2×D4×C79—44no—
459C2×D4×C79—42no—
460C2×D4×C79—432no—
461C2×D4×C79—432no—
462C2×D4×C79C2418yes—
463C2×D4×C79C2418yes—
464C2×D4×C79C2418yes—
465C2×D4×C79C2414yes—
466C2×D4×C79C2418yes—
467C2×D4×C79C2418yes—
468C2×D4×C79C2414yescomplemented
469C2×D4×C79C2418yescomplemented
470C2×D4×C79C2418yescomplemented
471C22×C4×C79—44no—
472C22×C4×C79—44no—
473C22×C4×C79C2411yescharacteristic
474C22×C4×C79C2412yes—
475C22×C4×C79C2412yes—
476C22×C4×C79C2412yes—
477C22×C4×C79C2418yes—
478C22×C4×C79C2418yescomplemented
479C4⋊C4×C79C2418yescomplemented
480C22⋊C4×C79C2418yes—
481C22⋊C4×C79C2414yes—
482C22⋊C4×C79C2418yescomplemented
483C22⋊C4×C79C2414yescomplemented
484C22⋊C4×C79C2418yescomplemented
485C42×C79C2414yescomplemented
486C23×C79—24no—
487C23×C79—24no—
488C23×C79—24no—
489C23×C79—22no—
490C23×C79—24no—
491C23×C79—24no—
492C23×C79—24no—
493C23×C79—24no—
494C23×C79—22no—
495C23×C79—24no—
496C23×C79—216no—
497C23×C79—24no—
498C23×C79—24no—
499C23×C79—216no—
500C23×C79—44no—
501C23×C79—48no—
502C23×C79—44no—
503C23×C79—48no—
504C23×C79—48no—
505C23×C79—416no—
506C23×C79—816no—
507C23×C79—88no—
508C23×C79H(5,𝔽2)18yes—
509C23×C79C2512yes—
510C23×C79C2512yes—
511C23×C79C2514yes—
512C23×C79C2514yes—
513C23×C79C2514yes—
514C23×C79C2511yescharacteristic
515C22×D79—24no—
516C22×D79—24no—
517C22×D79—216no—
518C22×D79—22no—
519C22×D79—24no—
520C22×D79—216no—
521C22×D79—24no—
522C22×D79—24no—
523C22×D79—22no—
524C22×D79—24no—
525C22×D79—28no—
526C22×D79—216no—
527C22×D79—28no—
528C22×D79—48no—
529C22×D79—48no—
530C22×D79—44no—
531C22×D79—48no—
532C22×D79—48no—
533C22×D79—48no—
534C22×D79—48no—
535C22×D79—432no—
536C22×D79—416no—
537C22×D79—432no—
538C22×D79—4128no—
539C22×D79—416no—
540C22×D79—88no—
541C22×D79H(5,𝔽2)14yes—
542C22×D79C2514yes—
543C22×D79C2512yes—
544C22×D79C2512yes—
545C22×D79C2512yes—
546D4×C79—216no—
547D4×C79—216no—
548D4×C79—216no—
549D4×C79—44no—
550D4×C79—44no—
551D4×C79—48no—
552D4×C79—48no—
553D4×C79—48no—
554D4×C79—48no—
555C2×C4×C79—22no—
556C2×C4×C79—24no—
557C2×C4×C79—24no—
558C2×C4×C79—24no—
559C2×C4×C79—48no—
560C2×C4×C79—48no—
561C2×C4×C79C2514yes—
562C2×C4×C79C2514yes—
563C2×C4×C79C2512yes—
564C2×C4×C79C2514yes—
565C22⋊D79—216no—
566C22⋊D79—216no—
567C22⋊D79—216no—
568C22⋊D79—48no—
569C22⋊D79—44no—
570C22⋊D79—44no—
571C22⋊D79—48no—
572C22⋊D79—48no—
573C22⋊D79—48no—
574C22⋊D79—48no—
575C22⋊D79—48no—
576C22⋊D79—48no—
577C22⋊D79—48no—
578C22⋊D79—48no—
579C2×Dic79—22no—
580C2×Dic79—24no—
581C2×Dic79—24no—
582C2×Dic79—24no—
583C2×Dic79—216no—
584C2×Dic79—24no—
585C2×Dic79—24no—
586C2×Dic79—48no—
587C2×Dic79—44no—
588C2×Dic79—48no—
589C2×Dic79—48no—
590C2×Dic79C2514yes—
591C2×Dic79C2514yes—
592C2×Dic79C2514yes—
593C2×Dic79C2514yes—
594C2×Dic79C2514yes—
595C2×Dic79C2512yes—
596D316—48no—
597D316—44no—
598C4×D79—28no—
599C4×D79—48no—
600C4×D79—48no—
601Dic158—48no—
602Dic158—44no—
603C22×C79—24no—
604C22×C79—24no—
605C22×C79—216no—
606C22×C79—24no—
607C22×C79—24no—
608C22×C79—24no—
609C22×C79—24no—
610C22×C79—24no—
611C22×C79—24no—
612C22×C79—22no—
613C22×C79—22no—
614C22×C79—24no—
615C22×C79—24no—
616C22×C79—416no—
617C22×C79—44no—
618C22×C79—44no—
619C22×C79—48no—
620C22×C79—48no—
621C22×C79—816no—
622C22×C79—88no—
623C22×C79C2×H(5,𝔽2)12yes—
624C22×C79C2×H(5,𝔽2)18yes—
625C22×C79C2×H(5,𝔽2)14yes—
626C22×C79C2611yescharacteristic
627C2×D79—24no—
628C2×D79—28no—
629C2×D79—24no—
630C2×D79—22no—
631C2×D79—24no—
632C2×D79—24no—
633C2×D79—24no—
634C2×D79—22no—
635C2×D79—24no—
636C2×D79—432no—
637C2×D79—416no—
638C2×D79—432no—
639C2×D79—416no—
640C2×D79—48no—
641C2×D79—44no—
642C2×D79—44no—
643C2×D79—88no—
644C2×D79C2×H(5,𝔽2)14yes—
645C4×C79—24no—
646C4×C79—24no—
647C4×C79—24no—
648C4×C79—22no—
649Dic79—24no—
650Dic79—24no—
651Dic79—24no—
652Dic79—24no—
653Dic79—22no—
654Dic79—24no—
655C2×#3532—791nomaximal, Sylow
656C2×C79—28no—
657C2×C79—42no—
658C2×C79—42no—
659C2×C79—44no—
660C2×C79—44no—
661C2×C79#353214yescomplemented
662C2×C79C22×H(5,𝔽2)11yescharacteristic
663C2×C79C22×H(5,𝔽2)12yes—
664D79—24no—
665D79—44no—
666D79—42no—
667D79—42no—
668#3532—7932no—
669C2×H(3,𝔽4)—791no—
670C2×#560—791no—
671C2×#560—792no—
672C2×#551—791no—
673C2×#551—792no—
674C2×#546—792no—
675C2×#546—792no—
676C2×#546—792no—
677C2×D42—792no—
678C2×D42D7911yescharacteristic, complemented
679C2×#538—792no—
680C2×#538—792no—
681C2×#538—792no—
682C2×#535—791no—
683C2×#535—792no—
684C2×#534—792no—
685C2×#534—791no—
686C22×#120—792no—
687C22×#120—791no—
688C79C2×#353211yescharacteristic, complemented, Sylow
689C26—791no—
690C22×#41—792no—
691C22×#41—791no—
692C23×D4—792no—
693C23×D4—792no—
694C23×D4—791no—
695C23×D4—791no—
696C23×D4—792no—
697C23×D4C2×D7912yescomplemented
698C23×D4C2×D7912yescomplemented
699H(3,𝔽4)—7916no—
700#560—7916no—
701#560—7932no—
702#551—7916no—
703#551—7932no—
704#546—7932no—
705#546—7932no—
706#546—7932no—
707D42—7932no—
708D42C2×D79116yescomplemented
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—792no—
718C2×#127C2×D7911yescharacteristic, complemented
719C2×#126—792no—
720C2×#126—792no—
721C2×#126—792no—
722C2×#126—792no—
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—792no—
732C2×#123—791no—
733C2×#123—792no—
734C2×#123—792no—
735C2×#123—792no—
736C2×#123—792no—
737C2×#123—791no—
738C2×#123—792no—
739C2×#123—792no—
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×#121—792no—
756C2×#121C2×D7912yescomplemented
757C2×#121C2×D7912yescomplemented
758C2×#120—791no—
759C2×#120—792no—
760C2×#120—791no—
761C2×#120—792no—
762C2×#120—792no—
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—7932no—
773C2×#120—792no—
774C2×#120—7916no—
775C2×#120—792no—
776C2×#120—791no—
777C2×#120C2×D7911yescharacteristic
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×D4C2×D7912yescomplemented
786C2×#117—792no—
787C2×#117—791no—
788C22×C22⋊C4—792no—
789C22×C22⋊C4—792no—
790C22×C22⋊C4—792no—
791C22×C22⋊C4—792no—
792C22×C22⋊C4—791no—
793C22×C22⋊C4—792no—
794C22×C22⋊C4—791no—
795C25—3168no—
796C25—3164no—
797C25—791no—
798C25—798no—
799C25—791no—
800C25—792no—
801C25—791no—
802C25—792no—
803C25C22×D7911yescharacteristic
804C25C22×D7912yes—
805C25C22×D7911yescharacteristic, complemented
806C2×#41—3168no—
807C2×#41—3164no—
808C2×#41—7916no—
809C2×#41—798no—
810C22×Q8—792no—
811C22×Q8—791no—
812C22×D4—48no—
813C22×D4—48no—
814C22×D4—3168no—
815C22×D4—3164no—
816C22×D4—3168no—
817C22×D4—3164no—
818C22×D4—3168no—
819C22×D4—791no—
820C22×D4—792no—
821C22×D4—792no—
822C22×D4—792no—
823C22×D4—792no—
824C22×D4—792no—
825C22×D4—791no—
826C22×D4—792no—
827C22×D4—792no—
828C22×D4—792no—
829C22×D4—7916no—
830C22×D4—7916no—
831C22×D4—792no—
832C22×D4—798no—
833C22×D4—798no—
834C22×D4—7916no—
835C22×D4—792no—
836C22×D4—792no—
837C22×D4—792no—
838C22×D4—792no—
839C22×D4—791no—
840C22×D4C22×D7912yes—
841C22×D4C22×D7912yes—
842C22×D4C22×D7912yes—
843C22×D4C22×D7912yes—
844C22×D4C22×D7912yes—
845C22×D4C22×D7911yescharacteristic
846C22×D4C22×D79116yescomplemented
847C22×D4C22×D7912yescomplemented
848C22×D4C22×D7911yescharacteristic, complemented
849C22×D4C22×D7912yescomplemented
850C22×D4C22×D79116yescomplemented
851C23×C4—792no—
852C23×C4—792no—
853C23×C4—792no—
854C23×C4—791no—
855C23×C4—792no—
856C23×C4—792no—
857C23×C4—792no—
858C23×C4—791no—
859C23×C4C22×D7912yes—
860C23×C4C22×D7912yescomplemented
861#127—798no—
862#127—7916no—
863#127C22×D7918yescomplemented
864#126—7916no—
865#126—7916no—
866#126—7916no—
867#126—7916no—
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—7916no—
877#123—798no—
878#123—7916no—
879#123—7916no—
880#123—7916no—
881#123—7916no—
882#123—798no—
883#123—7916no—
884#123—7916no—
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#121—7916no—
901#121C22×D79116yescomplemented
902#121C22×D79116yescomplemented
903#120—798no—
904#120—7916no—
905#120—798no—
906#120—7916no—
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—7916no—
916#120—798no—
917#120—7916no—
918#120—7916no—
919#120—798no—
920#120C22×D7918yes—
921#120C22×D79116yescomplemented
922#120C22×D7918yescomplemented
923C4×D4—7916no—
924C4×D4—7916no—
925C4×D4—7916no—
926C4×D4—7916no—
927C4×D4—7916no—
928C4×D4C22×D79116yescomplemented
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⋊C4—792no—
938C2×C4⋊C4—792no—
939C2×C4⋊C4C22×D7912yescomplemented
940C2×C22⋊C4—792no—
941C2×C22⋊C4—792no—
942C2×C22⋊C4—792no—
943C2×C22⋊C4—792no—
944C2×C22⋊C4—792no—
945C2×C22⋊C4—791no—
946C2×C22⋊C4—7916no—
947C2×C22⋊C4—791no—
948C2×C22⋊C4—792no—
949C2×C22⋊C4—792no—
950C2×C22⋊C4—7916no—
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—792no—
963C2×C22⋊C4—792no—
964C2×C22⋊C4—792no—
965C2×C22⋊C4—7916no—
966C2×C22⋊C4—7916no—
967C2×C22⋊C4—792no—
968C2×C22⋊C4—798no—
969C2×C22⋊C4—7916no—
970C2×C22⋊C4—798no—
971C2×C22⋊C4C22×D7912yes—
972C2×C22⋊C4C22×D7911yescharacteristic
973C2×C22⋊C4C22×D7911yescharacteristic, complemented
974C2×C22⋊C4C22×D7912yescomplemented
975C2×C22⋊C4C22×D7912yescomplemented
976C2×C42—791no—
977C2×C42—792no—
978C2×C42—792no—
979C2×C42C22×D7911yescharacteristic, complemented
980C24—28no—
981C24—28no—
982C24—42no—
983C24—44no—
984C24—44no—
985C24—44no—
986C24—42no—
987C24—3164no—
988C24—3164no—
989C24—3164no—
990C24—3162no—
991C24—3164no—
992C24—31632no—
993C24—3164no—
994C24—3164no—
995C24—31664no—
996C24—31616no—
997C24—794no—
998C24—794no—
999C24—798no—
1000C24—794no—
1001C24—798no—
1002C24—791no—
1003C24—792no—
1004C24—791no—
1005C24—791no—
1006C24—1588no—
1007C24—1584no—
1008C24—1584no—
1009C24—1588no—
1010C24—1588no—
1011C24C23×D7911yescharacteristic
1012C24C23×D7911yescharacteristic
1013C24C23×D7912yes—
1014C24C23×D7912yes—
1015C24C23×D7914yes—
1016C24C23×D7912yes—
1017C24C23×D7918yes—
1018C24C23×D7914yescomplemented
1019#41—31632no—
1020#41—31616no—
1021C2×Q8—3162no—
1022C2×Q8—3164no—
1023C2×Q8—798no—
1024C2×Q8—794no—
1025C2×D4—28no—
1026C2×D4—28no—
1027C2×D4—28no—
1028C2×D4—44no—
1029C2×D4—44no—
1030C2×D4—44no—
1031C2×D4—44no—
1032C2×D4—42no—
1033C2×D4—42no—
1034C2×D4—432no—
1035C2×D4—432no—
1036C2×D4—3162no—
1037C2×D4—3164no—
1038C2×D4—31632no—
1039C2×D4—31616no—
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—3164no—
1052C2×D4—31632no—
1053C2×D4—3164no—
1054C2×D4—794no—
1055C2×D4—798no—
1056C2×D4—798no—
1057C2×D4—798no—
1058C2×D4—798no—
1059C2×D4—798no—
1060C2×D4—794no—
1061C2×D4—798no—
1062C2×D4—798no—
1063C2×D4—798no—
1064C2×D4—798no—
1065C2×D4—798no—
1066C2×D4—798no—
1067C2×D4—798no—
1068C2×D4—798no—
1069C2×D4—794no—
1070C2×D4—1588no—
1071C2×D4—1588no—
1072C2×D4—1588no—
1073C2×D4C23×D7918yes—
1074C2×D4C23×D7918yes—
1075C2×D4C23×D7918yes—
1076C2×D4C23×D7918yes—
1077C2×D4C23×D7918yes—
1078C2×D4C23×D7914yes—
1079C2×D4C23×D7918yescomplemented
1080C2×D4C23×D7914yescomplemented
1081C2×D4C23×D7918yescomplemented
1082C22×C4—44no—
1083C22×C4—44no—
1084C22×C4—3164no—
1085C22×C4—3164no—
1086C22×C4—3162no—
1087C22×C4—3164no—
1088C22×C4—3164no—
1089C22×C4—3164no—
1090C22×C4—798no—
1091C22×C4—798no—
1092C22×C4—798no—
1093C22×C4—794no—
1094C22×C4—798no—
1095C22×C4—798no—
1096C22×C4—798no—
1097C22×C4—792no—
1098C22×C4—792no—
1099C22×C4—792no—
1100C22×C4—792no—
1101C22×C4—791no—
1102C22×C4—792no—
1103C22×C4—794no—
1104C22×C4—1584no—
1105C22×C4—1588no—
1106C22×C4C23×D7911yescharacteristic
1107C22×C4C23×D7912yes—
1108C22×C4C23×D7912yes—
1109C22×C4C23×D7912yes—
1110C22×C4C23×D7918yes—
1111C22×C4C23×D7918yescomplemented
1112C4⋊C4—798no—
1113C4⋊C4—798no—
1114C4⋊C4—798no—
1115C4⋊C4—798no—
1116C4⋊C4—798no—
1117C4⋊C4—798no—
1118C4⋊C4—798no—
1119C4⋊C4—798no—
1120C4⋊C4C23×D7918yescomplemented
1121C22⋊C4—798no—
1122C22⋊C4—798no—
1123C22⋊C4—798no—
1124C22⋊C4—798no—
1125C22⋊C4—798no—
1126C22⋊C4—794no—
1127C22⋊C4—794no—
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⋊C4—798no—
1144C22⋊C4—798no—
1145C22⋊C4C23×D7918yes—
1146C22⋊C4C23×D7914yes—
1147C22⋊C4C23×D7914yescomplemented
1148C22⋊C4C23×D7918yescomplemented
1149C22⋊C4C23×D7918yescomplemented
1150C42—794no—
1151C42—798no—
1152C42—798no—
1153C42C23×D7914yescomplemented
1154C23—24no—
1155C23—24no—
1156C23—24no—
1157C23—22no—
1158C23—22no—
1159C23—24no—
1160C23—24no—
1161C23—24no—
1162C23—24no—
1163C23—24no—
1164C23—24no—
1165C23—216no—
1166C23—24no—
1167C23—216no—
1168C23—44no—
1169C23—48no—
1170C23—48no—
1171C23—48no—
1172C23—44no—
1173C23—416no—
1174C23—816no—
1175C23—88no—
1176C23—31632no—
1177C23—31632no—
1178C23—3168no—
1179C23—3168no—
1180C23—3168no—
1181C23—3164no—
1182C23—3168no—
1183C23—3168no—
1184C23—3168no—
1185C23—316128no—
1186C23—31616no—
1187C23—31616no—
1188C23—794no—
1189C23—792no—
1190C23—794no—
1191C23—792no—
1192C23—792no—
1193C23—6328no—
1194C23—15816no—
1195C23—1588no—
1196C23—1588no—
1197C23—1582no—
1198C23—1584no—
1199C23—1582no—
1200C23—1584no—
1201C23—15816no—
1202C23—15816no—
1203C23—1584no—
1204C23—1584no—
1205C23—1584no—
1206C23—1584no—
1207C23#1457920618yes—
1208C23C24×D7912yes—
1209C23C24×D7912yes—
1210C23C24×D7914yes—
1211C23C24×D7914yes—
1212C23C24×D7914yes—
1213C23C24×D7911yescharacteristic
1214Q8—3164no—
1215Q8—3168no—
1216D4—216no—
1217D4—216no—
1218D4—216no—
1219D4—48no—
1220D4—48no—
1221D4—48no—
1222D4—48no—
1223D4—44no—
1224D4—44no—
1225D4—3164no—
1226D4—3168no—
1227D4—3164no—
1228D4—3164no—
1229D4—3168no—
1230D4—3168no—
1231D4—3168no—
1232D4—3168no—
1233D4—3168no—
1234D4—3168no—
1235D4—3168no—
1236D4—3168no—
1237D4—3168no—
1238D4—15816no—
1239D4—15816no—
1240D4—15816no—
1241C2×C4—22no—
1242C2×C4—24no—
1243C2×C4—24no—
1244C2×C4—24no—
1245C2×C4—48no—
1246C2×C4—48no—
1247C2×C4—3168no—
1248C2×C4—3168no—
1249C2×C4—3164no—
1250C2×C4—3168no—
1251C2×C4—3168no—
1252C2×C4—3168no—
1253C2×C4—794no—
1254C2×C4—794no—
1255C2×C4—794no—
1256C2×C4—794no—
1257C2×C4—792no—
1258C2×C4—794no—
1259C2×C4—1588no—
1260C2×C4—1582no—
1261C2×C4—1584no—
1262C2×C4—1584no—
1263C2×C4—1584no—
1264C2×C4—1584no—
1265C2×C4—1584no—
1266C2×C4—15816no—
1267C2×C4C24×D7912yes—
1268C2×C4C24×D7914yes—
1269C2×C4C24×D7914yes—
1270C2×C4C24×D7914yes—
1271C22—216no—
1272C22—24no—
1273C22—24no—
1274C22—24no—
1275C22—22no—
1276C22—22no—
1277C22—24no—
1278C22—24no—
1279C22—24no—
1280C22—24no—
1281C22—24no—
1282C22—24no—
1283C22—24no—
1284C22—416no—
1285C22—44no—
1286C22—48no—
1287C22—44no—
1288C22—48no—
1289C22—816no—
1290C22—88no—
1291C22—31632no—
1292C22—31632no—
1293C22—31616no—
1294C22—31616no—
1295C22—3164no—
1296C22—3168no—
1297C22—3164no—
1298C22—794no—
1299C22—6328no—
1300C22—1582no—
1301C22—1582no—
1302C22—1584no—
1303C22—1584no—
1304C22—1584no—
1305C22—1584no—
1306C22—1584no—
1307C22—1588no—
1308C22—1584no—
1309C22H(5,𝔽2)×D7912yes—
1310C22C2×#1457920618yes—
1311C22C2×#1457920614yes—
1312C22C25×D7911yescharacteristic
1313C4—22no—
1314C4—24no—
1315C4—24no—
1316C4—24no—
1317C4—1582no—
1318C4—1584no—
1319C4—1584no—
1320C4—1584no—
1321C4—1584no—
1322C4—1584no—
1323C2—28no—
1324C2—42no—
1325C2—44no—
1326C2—42no—
1327C2—44no—
1328C2—3162no—
1329C2—3164no—
1330C2—3162no—
1331C2—1584no—
1332C2#2377755014yesdirect product factor
1333C2C2×H(5,𝔽2)×D7911yescharacteristic
1334C2C22×#1457920612yes—
subgroupG/H
centerC23C24×D79
commutator, cosocleC22×C79C26
FrattiniC22C25×D79
FittingC2×D42×C79C2
socleC23×C79C25
hypercenterC2×D42D79
hypocenterC79C2×#3532
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C23 ◁ C2×D42

Complements

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

NH ≅ G/Ntype
1. #23777550C2direct (N × H)
2. C2×#19099306C2semidirect
3. C2×#19099301C2semidirect
4. C2×#19099300C2semidirect
5. C2×#19099244C2semidirect
6. C2×#19099242C2semidirect
7. C2×#19099207C2semidirect
8. C2×#19099202C2semidirect
9. C2×#19099200C2semidirect
10. C2×D4×C22⋊D79C2semidirect
11. C2×#19099150C2semidirect
12. C2×#19099146C2semidirect
13. C2×#19099145C2semidirect
14. C2×#19099128C2semidirect
15. C2×#19099126C2semidirect
16. C2×#19099123C2semidirect
17. C2×#19099122C2semidirect
18. C22×#14579129C2semidirect
19. C2×#120×D79C2semidirect
20. C2×D42×C79C2semidirect
21. C25×D79C22semidirect
22. C22×#11929623C22semidirect
23. C22×#11929623C22semidirect
24. C23×C22⋊D79C22semidirect
25. C23×C22⋊D79C22semidirect
26. C23×C22⋊D79C22semidirect
27. C22×D4×D79C22semidirect
28. C22×D4×D79C22semidirect
29. #19099306C22semidirect
30. #19099301C22semidirect
31. #19099300C22semidirect
32. #19099244C22semidirect
33. #19099242C22semidirect
34. #19099207C22semidirect
35. #19099202C22semidirect
36. #19099200C22semidirect
37. D4×C22⋊D79C22semidirect
38. #19099150C22semidirect
39. #19099146C22semidirect
40. #19099145C22semidirect
41. #19099128C22semidirect
42. #19099126C22semidirect
43. #19099123C22semidirect
44. #19099122C22semidirect
45. C2×#14579157C22semidirect
46. C2×#14579157C22semidirect
47. C2×#14579156C22semidirect
48. C2×#14579156C22semidirect
49. C2×#14579155C22semidirect
50. C2×#14579154C22semidirect
51. C2×#14579149C22semidirect
52. C2×#14579148C22semidirect
53. C2×#14579148C22semidirect
54. C2×#14579147C22semidirect
55. C2×#14579147C22semidirect
56. C2×#14579147C22semidirect
57. C2×#14579147C22semidirect
58. C2×#14579146C22semidirect
59. C2×#14579145C22semidirect
60. C2×#14579145C22semidirect
61. C2×#14579144C22semidirect
62. C2×#14579144C22semidirect
63. C2×#14579143C22semidirect
64. C2×#14579142C22semidirect
65. C2×#14579142C22semidirect
66. C2×#14579142C22semidirect
67. C2×#14579142C22semidirect
68. C2×#14579140C22semidirect
69. C2×#14579139C22semidirect
70. C2×#14579138C22semidirect
71. C2×#14579135C22semidirect
72. C2×#14579134C22semidirect
73. C2×#14579134C22semidirect
74. C2×#14579133C22semidirect
75. C2×#14579133C22semidirect
76. C2×#14579133C22semidirect
77. C2×#14579133C22semidirect
78. C2×#14579133C22semidirect
79. C2×#14579133C22semidirect
80. C2×#14579133C22semidirect
81. C2×#14579133C22semidirect
82. C2×#14579132C22semidirect
83. C2×#14579132C22semidirect
84. C2×#14579131C22semidirect
85. C2×#14579131C22semidirect
86. C2×#14579130C22semidirect
87. C2×#14579130C22semidirect
88. C2×#14579130C22semidirect
89. C2×#14579130C22semidirect
91. C2×#14579129C22semidirect
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. C2×#14579129C22semidirect
101. C2×#14579129C22semidirect
102. #120×D79C22semidirect
103. C2×D4×Dic79C22semidirect
104. C2×D4×Dic79C22semidirect
105. C2×C4×C22⋊D79C22semidirect
106. C2×C4×C22⋊D79C22semidirect
107. C2×(C22⋊D79)⋊C4C22semidirect
108. C2×#14579118C22semidirect
109. C2×#14579117C22semidirect
110. C22×C22⋊Dic79C22semidirect
111. C22×C22⋊Dic79C22semidirect
112. C22×(C2×D79)⋊C4C22semidirect
113. C22×(C2×D79)⋊C4C22semidirect
114. C2×C22⋊C4×D79C22semidirect
115. C2×C22⋊C4×D79C22semidirect
116. C2×C22⋊C4×D79C22semidirect
117. C23×D4×C79C22semidirect
118. C23×D4×C79C22semidirect
119. D42×C79C22semidirect
120. C2×#127×C79C22semidirect
121. C2×#121×C79C22semidirect
122. C2×#121×C79C22semidirect
124. C2×#120×C79C22semidirect
125. C2×#120×C79C22semidirect
126. C2×C4×D4×C79C22semidirect
134. C24×D79C23semidirect
137. C2×#11929623C23semidirect
138. C2×#11929623C23semidirect
139. C22×Dic158C23semidirect
140. C22×Dic158C23semidirect
158. C22×C22⋊D79C23semidirect
159. C22×C22⋊D79C23semidirect
160. C22×C22⋊D79C23semidirect
161. C22×C22⋊D79C23semidirect
162. C22×C22⋊D79C23semidirect
165. C2×D4×D79C23semidirect
166. C2×D4×D79C23semidirect
169. C23×Dic79C23semidirect
170. C23×Dic79C23semidirect
171. C23×Dic79C23semidirect
174. C22×C4×D79C23semidirect
175. #14579157C23semidirect
176. #14579157C23semidirect
177. #14579156C23semidirect
178. #14579156C23semidirect
179. #14579155C23semidirect
180. #14579154C23semidirect
181. #14579149C23semidirect
182. #14579148C23semidirect
183. #14579148C23semidirect
184. #14579147C23semidirect
185. #14579147C23semidirect
186. #14579147C23semidirect
187. #14579147C23semidirect
188. #14579146C23semidirect
189. #14579145C23semidirect
190. #14579145C23semidirect
191. #14579144C23semidirect
192. #14579144C23semidirect
193. #14579143C23semidirect
194. #14579142C23semidirect
195. #14579142C23semidirect
196. #14579142C23semidirect
197. #14579142C23semidirect
198. #14579140C23semidirect
199. #14579139C23semidirect
200. #14579138C23semidirect
201. #14579135C23semidirect
202. #14579134C23semidirect
203. #14579134C23semidirect
204. #14579133C23semidirect
205. #14579133C23semidirect
206. #14579133C23semidirect
207. #14579133C23semidirect
208. #14579133C23semidirect
209. #14579133C23semidirect
210. #14579133C23semidirect
211. #14579133C23semidirect
212. #14579132C23semidirect
213. #14579132C23semidirect
214. #14579131C23semidirect
215. #14579131C23semidirect
216. #14579130C23semidirect
217. #14579130C23semidirect
218. #14579130C23semidirect
219. #14579130C23semidirect
221. #14579129C23semidirect
222. #14579129C23semidirect
223. #14579129C23semidirect
224. #14579129C23semidirect
225. #14579129C23semidirect
226. #14579129C23semidirect
227. #14579129C23semidirect
228. #14579129C23semidirect
229. #14579129C23semidirect
230. #14579129C23semidirect
231. D4×Dic79C23semidirect
232. D4×Dic79C23semidirect
233. C4×C22⋊D79C23semidirect
234. C4×C22⋊D79C23semidirect
235. (C22⋊D79)⋊C4C23semidirect
236. #14579118C23semidirect
237. #14579117C23semidirect
238. C2×C4⋊Dic79C23semidirect
239. C2×C4⋊Dic79C23semidirect
240. C2×Dic79⋊C4C23semidirect
241. C2×Dic79⋊C4C23semidirect
242. C2×Dic79⋊C4C23semidirect
243. C2×Dic79⋊C4C23semidirect
244. C2×Dic79⋊C4C23semidirect
245. C2×Dic79⋊C4C23semidirect
252. C2×C22⋊Dic79C23semidirect
253. C2×C22⋊Dic79C23semidirect
254. C2×C22⋊Dic79C23semidirect
255. C2×C22⋊Dic79C23semidirect
256. C2×C22⋊Dic79C23semidirect
257. C2×C22⋊Dic79C23semidirect
258. C2×C22⋊Dic79C23semidirect
259. C2×C22⋊Dic79C23semidirect
271. C2×(C2×D79)⋊C4C23semidirect
272. C2×(C2×D79)⋊C4C23semidirect
273. C2×(C2×D79)⋊C4C23semidirect
274. C22⋊C4×D79C23semidirect
275. C22⋊C4×D79C23semidirect
276. C22⋊C4×D79C23semidirect
277. C2×C4×Dic79C23semidirect
278. C2×C4×Dic79C23semidirect
279. C2×C4×Dic79C23semidirect
282. C25×C79C23semidirect
291. C22×D4×C79C23semidirect
292. C22×D4×C79C23semidirect
293. C22×D4×C79C23semidirect
294. C22×D4×C79C23semidirect
295. C22×D4×C79C23semidirect
297. C23×C4×C79C23semidirect
298. #127×C79C23semidirect
299. #121×C79C23semidirect
300. #121×C79C23semidirect
302. #120×C79C23semidirect
303. #120×C79C23semidirect
304. C4×D4×C79C23semidirect
305. C2×C4⋊C4×C79C23semidirect
308. C2×C22⋊C4×C79C23semidirect
309. C2×C22⋊C4×C79C23semidirect
310. C2×C22⋊C4×C79C23semidirect
311. C2×C42×C79C23semidirect
340. C2×Dic158C24semidirect
341. C2×Dic158C24semidirect
375. C2×C22⋊D79C24semidirect
376. C2×C22⋊D79C24semidirect
392. C22×Dic79C24semidirect
393. C22×Dic79C24semidirect
394. C22×Dic79C24semidirect
400. C2×C4×D79C24semidirect
401. C4⋊Dic79C24semidirect
402. C4⋊Dic79C24semidirect
403. Dic79⋊C4C24semidirect
404. Dic79⋊C4C24semidirect
405. Dic79⋊C4C24semidirect
406. Dic79⋊C4C24semidirect
407. Dic79⋊C4C24semidirect
408. Dic79⋊C4C24semidirect
415. C22⋊Dic79C24semidirect
416. C22⋊Dic79C24semidirect
417. C22⋊Dic79C24semidirect
418. C22⋊Dic79C24semidirect
419. C22⋊Dic79C24semidirect
420. C22⋊Dic79C24semidirect
432. (C2×D79)⋊C4C24semidirect
433. C4×Dic79C24semidirect
434. C4×Dic79C24semidirect
435. C4×Dic79C24semidirect
450. C24×C79C24semidirect
468. C2×D4×C79C24semidirect
469. C2×D4×C79C24semidirect
470. C2×D4×C79C24semidirect
478. C22×C4×C79C24semidirect
479. C4⋊C4×C79C24semidirect
482. C22⋊C4×C79C24semidirect
483. C22⋊C4×C79C24semidirect
484. C22⋊C4×C79C24semidirect
485. C42×C79C24semidirect
661. C2×C79#3532semidirect
678. C2×D42D79semidirect
688. C79C2×#3532semidirect
697. C23×D4C2×D79semidirect
698. C23×D4C2×D79semidirect
708. D42C2×D79semidirect
718. C2×#127C2×D79semidirect
756. C2×#121C2×D79semidirect
757. C2×#121C2×D79semidirect
778. C2×#120C2×D79semidirect
779. C2×#120C2×D79semidirect
785. C2×C4×D4C2×D79semidirect
805. C25C22×D79semidirect
846. C22×D4C22×D79semidirect
847. C22×D4C22×D79semidirect
848. C22×D4C22×D79semidirect
849. C22×D4C22×D79semidirect
850. C22×D4C22×D79semidirect
860. C23×C4C22×D79semidirect
863. #127C22×D79semidirect
901. #121C22×D79semidirect
902. #121C22×D79semidirect
921. #120C22×D79semidirect
922. #120C22×D79semidirect
928. C4×D4C22×D79semidirect
939. C2×C4⋊C4C22×D79semidirect
973. C2×C22⋊C4C22×D79semidirect
974. C2×C22⋊C4C22×D79semidirect
975. C2×C22⋊C4C22×D79semidirect
979. C2×C42C22×D79semidirect
1018. C24C23×D79semidirect
1079. C2×D4C23×D79semidirect
1080. C2×D4C23×D79semidirect
1081. C2×D4C23×D79semidirect
1111. C22×C4C23×D79semidirect
1120. C4⋊C4C23×D79semidirect
1147. C22⋊C4C23×D79semidirect
1148. C22⋊C4C23×D79semidirect
1149. C22⋊C4C23×D79semidirect
1153. C42C23×D79semidirect
1332. C2#23777550direct (N × H)

Maximal subgroups

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

subgroupindex
#237775502
C2×#190993062
C2×#190993012
C2×#190993002
C2×#190992442
C2×#190992422
C2×#190992072
C2×#190992022
C2×#190992002
C2×D4×C22⋊D792
C2×#190991502
C2×#190991462
C2×#190991452
C2×#190991282
C2×#190991262
C2×#190991232
C2×#190991222
C22×#145791292
C2×#120×D792
C2×D42×C792
C2×#353279