Finite Group Databasebeta

← C73×#62892 #32972296

Subgroups — C73×#62892 #32972296

Order 18688.

8158 conjugacy classes of subgroups.

The subgroup lattice has 1598 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C73×#3558C212yesmaximal, complemented
2C73×#3543C214yesmaximal, complemented
3C73×#3542C214yesmaximal, complemented
4C73×#3537C214yesmaximal, complemented
5C73×#3537C212yesmaximal, complemented
6C73×#3534C218yesmaximal, complemented
7C73×#3534C214yesmaximal, complemented
8C73×#3532C218yesmaximal, complemented
9C73×#3519C212yesmaximal, complemented
10C73×#3513C214yesmaximal, complemented
11C73×#3505C212yesmaximal, complemented
12C73×#3496C211yesmaximal, characteristic, complemented
13C73×#3490C212yesmaximal, complemented
14C73×#3488C212yesmaximal, complemented
15C73×#3484C214yesmaximal, complemented
16C73×#3484C214yesmaximal, complemented
17C2×#546×C73C211yesmaximal, characteristic, complemented
18C2×D42×C73C212yesmaximal, complemented
19C73×#3459C211yesmaximal, characteristic, complemented
20C2×#534×C73C212yesmaximal, complemented
21C2×H(5,𝔽2)×C73C2212yescomplemented
22C2×H(5,𝔽2)×C73C2212yescomplemented
23C22×#41×C73C2211yescharacteristic, complemented
24C23×D4×C73C2211yescharacteristic, complemented
25C23×D4×C73C2214yescomplemented
26C23×D4×C73C2212yescomplemented
27#562×C73C2218yescomplemented
28#562×C73C2214yescomplemented
29H(3,𝔽4)×C73C2214yescomplemented
30#560×C73C2218yescomplemented
31#560×C73C2218yescomplemented
32#560×C73C2218yescomplemented
33#560×C73C2218yescomplemented
34#559×C73C2214yescomplemented
35#555×C73C2212yescomplemented
36#554×C73C2212yescomplemented
37#553×C73C2218yescomplemented
38#553×C73C2214yescomplemented
39#553×C73C2214yescomplemented
40#553×C73C2218yescomplemented
41#553×C73C2214yescomplemented
42#552×C73C2214yescomplemented
43#551×C73C2218yescomplemented
44#551×C73C2218yescomplemented
45#551×C73C2218yescomplemented
46#551×C73C2218yescomplemented
47#550×C73C2214yescomplemented
48#550×C73C2212yescomplemented
49#548×C73C2214yescomplemented
50#547×C73C2214yescomplemented
51#546×C73C2214yescomplemented
52#546×C73C2214yescomplemented
53#546×C73C2214yescomplemented
54#546×C73C2218yescomplemented
55#546×C73C2218yescomplemented
56#546×C73C2218yescomplemented
57#546×C73C2218yescomplemented
58#546×C73C2218yescomplemented
59#546×C73C2214yescomplemented
60#546×C73C2218yescomplemented
61#546×C73C2218yescomplemented
62#546×C73C2214yescomplemented
63#546×C73C2218yescomplemented
64#546×C73C2218yescomplemented
65#546×C73C2218yescomplemented
66#546×C73C2214yescomplemented
67D42×C73C2214yescomplemented
68D42×C73C2218yescomplemented
69D42×C73C2214yescomplemented
70D42×C73C2212yescomplemented
71D42×C73C2214yescomplemented
72D42×C73C2218yescomplemented
73D42×C73C2218yescomplemented
74D42×C73C2218yescomplemented
75D42×C73C2218yescomplemented
76D42×C73C2214yescomplemented
77D42×C73C2214yescomplemented
78D42×C73C2214yescomplemented
79D42×C73C2218yescomplemented
80D42×C73C2218yescomplemented
81#543×C73C2211yescharacteristic, complemented
82#542×C73C2214yescomplemented
83#540×C73C2214yescomplemented
84#540×C73C2214yescomplemented
85#540×C73C2218yescomplemented
86#540×C73C2218yescomplemented
87#539×C73C2214yescomplemented
88#539×C73C2214yescomplemented
89#539×C73C2218yescomplemented
90#539×C73C2212yescomplemented
91#538×C73C2214yescomplemented
92#538×C73C2218yescomplemented
93#538×C73C2214yescomplemented
94#538×C73C2212yescomplemented
95#538×C73C2214yescomplemented
96#538×C73C2214yescomplemented
97#538×C73C2218yescomplemented
98#538×C73C2218yescomplemented
99#538×C73C2218yescomplemented
100#538×C73C2214yescomplemented
101#537×C73C2214yescomplemented
102#537×C73C2212yescomplemented
103#537×C73C2212yescomplemented
104#535×C73C2218yescomplemented
105#535×C73C2214yescomplemented
106#535×C73C2214yescomplemented
107#535×C73C2214yescomplemented
108#535×C73C2212yescomplemented
109#535×C73C2218yescomplemented
110#534×C73C2211yescharacteristic, complemented
111#534×C73C2214yescomplemented
112#534×C73C2212yescomplemented
113#534×C73C2212yescomplemented
114#534×C73C2218yescomplemented
115#534×C73C2218yescomplemented
116#534×C73C2218yescomplemented
117#534×C73C2218yescomplemented
118#534×C73C2218yescomplemented
119#534×C73C2214yescomplemented
120#534×C73C2214yescomplemented
121#534×C73C2212yescomplemented
122#534×C73C2214yescomplemented
123#532×C73C2212yescomplemented
124C2×#127×C73C2212yescomplemented
125#529×C73C2214yescomplemented
126#529×C73C2214yescomplemented
127#529×C73C2212yescomplemented
128C2×#124×C73C2211yescharacteristic, complemented
129#525×C73C2214yescomplemented
130#525×C73C2218yescomplemented
131#525×C73C2214yescomplemented
132#525×C73C2212yescomplemented
133#525×C73C2214yescomplemented
134#525×C73C2214yescomplemented
135C2×#123×C73C2218yescomplemented
136C2×#123×C73C2212yescomplemented
137C2×C22⋊Q8×C73C2211yescharacteristic, complemented
138C2×#121×C73C2212yescomplemented
139C2×#121×C73C2214yescomplemented
140C2×#121×C73C2212yescomplemented
141C2×#121×C73C2214yescomplemented
142C2×#121×C73C2214yescomplemented
143C2×#121×C73C2211yescharacteristic, complemented
144C2×#121×C73C2212yescomplemented
145C2×#121×C73C2212yescomplemented
146C2×#120×C73C2214yescomplemented
147C2×#120×C73C2212yescomplemented
148C2×#120×C73C2218yescomplemented
149C2×#120×C73C2214yescomplemented
150C2×#120×C73C2218yescomplemented
151#520×C73C2212yescomplemented
152#518×C73C2214yescomplemented
153#518×C73C2214yescomplemented
154C2×C4×D4×C73C2212yescomplemented
155C2×C4×D4×C73C2211yescharacteristic, complemented
156C2×C4×D4×C73C2211yescharacteristic, complemented
157C2×C4×D4×C73C2212yescomplemented
158C22×C22⋊C4×C73C2212yescomplemented
159C25×C73C2312yes—
160C25×C73C2314yescomplemented
161H(5,𝔽2)×C73—48no—
162H(5,𝔽2)×C73—48no—
163C2×#41×C73—44no—
164C2×#41×C73C2312yes—
165C2×#41×C73C2312yescomplemented
166C2×#41×C73C2318yescomplemented
167C2×#41×C73C2314yescomplemented
168C2×#41×C73C2314yescomplemented
169C2×#41×C73C2314yescomplemented
170C2×#41×C73C2314yescomplemented
171C2×#41×C73C2312yescomplemented
172C2×#41×C73C2314yescomplemented
173C22×Q8×C73C2311yescharacteristic, complemented
174C22×D4×C73—44no—
175C22×D4×C73—48no—
176C22×D4×C73—416no—
177C22×D4×C73C2311yescharacteristic
178C22×D4×C73C2312yes—
179C22×D4×C73C2311yescharacteristic
180C22×D4×C73C2312yes—
181C22×D4×C73C2314yes—
182C22×D4×C73C2314yes—
183C22×D4×C73C2314yes—
184C22×D4×C73C2318yes—
185C22×D4×C73C2312yes—
186C22×D4×C73C2311yescharacteristic
187C22×D4×C73C2312yes—
188C22×D4×C73C2318yes—
189C22×D4×C73C2314yescomplemented
190C22×D4×C73C2314yescomplemented
191C22×D4×C73C2312yescomplemented
192C22×D4×C73C2314yescomplemented
193C22×D4×C73C2318yescomplemented
194C22×D4×C73C2318yescomplemented
195C22×D4×C73C2318yescomplemented
196C22×D4×C73C2314yescomplemented
197C22×D4×C73C2312yescomplemented
198C22×D4×C73C2314yescomplemented
199C22×D4×C73C2312yescomplemented
200C22×D4×C73C2318yescomplemented
201C22×D4×C73C2318yescomplemented
202C22×D4×C73C2314yescomplemented
203C22×D4×C73C2314yescomplemented
204C22×D4×C73C2314yescomplemented
205C22×D4×C73C2312yescomplemented
206C22×D4×C73C2318yescomplemented
207C23×C4×C73C2311yescharacteristic
208C23×C4×C73C2312yescomplemented
209C23×C4×C73C2311yescharacteristic, complemented
210C23×C4×C73C2314yescomplemented
211C23×C4×C73C2312yescomplemented
212C23×C4×C73C2312yescomplemented
213C4⋊Q8×C73C2312yescomplemented
214#127×C73C2314yes—
215#127×C73C2314yescomplemented
216#127×C73C2318yescomplemented
217#127×C73C2312yescomplemented
218#127×C73C2318yescomplemented
219#127×C73C2318yescomplemented
220#126×C73C2314yescomplemented
221#126×C73C2314yescomplemented
222#126×C73C2318yescomplemented
223#126×C73C2314yescomplemented
224#126×C73C2318yescomplemented
225#126×C73C2318yescomplemented
226#126×C73C2318yescomplemented
227#126×C73C2318yescomplemented
228#125×C73C2314yescomplemented
229#125×C73C2312yescomplemented
230#125×C73C2314yescomplemented
231#125×C73C2318yescomplemented
232#124×C73C2314yescomplemented
233#124×C73C2314yescomplemented
234#124×C73C2314yescomplemented
235#124×C73C2314yescomplemented
236#124×C73C2312yescomplemented
237#124×C73C2314yescomplemented
238#124×C73C2318yescomplemented
239#124×C73C2318yescomplemented
240#124×C73C2318yescomplemented
241#124×C73C2318yescomplemented
242#124×C73C2318yescomplemented
243#123×C73C2314yes—
244#123×C73C2318yes—
245#123×C73C2318yescomplemented
246#123×C73C2318yescomplemented
247#123×C73C2318yescomplemented
248#123×C73C2318yescomplemented
249#123×C73C2318yescomplemented
250#123×C73C2318yescomplemented
251#123×C73C2318yescomplemented
252#123×C73C2318yescomplemented
253#123×C73C2314yescomplemented
254#123×C73C2314yescomplemented
255#123×C73C2314yescomplemented
256#123×C73C2318yescomplemented
257#123×C73C2318yescomplemented
258#123×C73C2314yescomplemented
259#123×C73C2318yescomplemented
260#123×C73C2314yescomplemented
261#123×C73C2318yescomplemented
262#123×C73C2318yescomplemented
263#123×C73C2318yescomplemented
264#123×C73C2318yescomplemented
265#123×C73C2318yescomplemented
266#123×C73C2318yescomplemented
267#123×C73C2318yescomplemented
268C22⋊Q8×C73C2314yescomplemented
269C22⋊Q8×C73C2314yescomplemented
270C22⋊Q8×C73C2312yescomplemented
271C22⋊Q8×C73C2312yescomplemented
272C22⋊Q8×C73C2312yescomplemented
273C22⋊Q8×C73C2314yescomplemented
274C22⋊Q8×C73C2314yescomplemented
275C22⋊Q8×C73C2314yescomplemented
276C22⋊Q8×C73C2318yescomplemented
277C22⋊Q8×C73C2314yescomplemented
278C22⋊Q8×C73C2318yescomplemented
279C22⋊Q8×C73C2314yescomplemented
280C22⋊Q8×C73C2314yescomplemented
281C22⋊Q8×C73C2318yescomplemented
282C22⋊Q8×C73C2318yescomplemented
283#121×C73C2312yes—
284#121×C73C2312yes—
285#121×C73C2314yes—
286#121×C73C2318yes—
287#121×C73C2314yes—
288#121×C73C2314yes—
289#121×C73C2314yes—
290#121×C73C2314yes—
291#121×C73C2314yescomplemented
292#121×C73C2314yescomplemented
293#121×C73C2314yescomplemented
294#121×C73C2314yescomplemented
295#121×C73C2314yescomplemented
296#121×C73C2318yescomplemented
297#121×C73C2318yescomplemented
298#121×C73C2318yescomplemented
299#121×C73C2318yescomplemented
300#121×C73C2314yescomplemented
301#121×C73C2314yescomplemented
302#121×C73C2314yescomplemented
303#121×C73C2318yescomplemented
304#121×C73C2314yescomplemented
305#121×C73C2314yescomplemented
306#121×C73C2314yescomplemented
307#121×C73C2314yescomplemented
308#121×C73C2318yescomplemented
309#121×C73C2318yescomplemented
310#121×C73C2314yescomplemented
311#121×C73C2318yescomplemented
312#121×C73C2318yescomplemented
313#121×C73C2318yescomplemented
314#121×C73C2312yescomplemented
315#121×C73C2314yescomplemented
316#121×C73C2318yescomplemented
317#121×C73C2314yescomplemented
318#121×C73C2314yescomplemented
319#121×C73C2314yescomplemented
320#121×C73C2318yescomplemented
321#121×C73C2318yescomplemented
322#121×C73C2318yescomplemented
323#121×C73C2318yescomplemented
324#121×C73C2318yescomplemented
325#121×C73C2318yescomplemented
326#121×C73C2318yescomplemented
327#121×C73C2318yescomplemented
328#121×C73C2318yescomplemented
329#121×C73C2318yescomplemented
330#121×C73C2318yescomplemented
331#121×C73C2318yescomplemented
332#121×C73C2318yescomplemented
333#120×C73C2314yes—
334#120×C73C2318yes—
335#120×C73C2318yes—
336#120×C73C2318yes—
337#120×C73C2318yes—
338#120×C73C2318yescomplemented
339#120×C73C2314yescomplemented
340#120×C73C2318yescomplemented
341#120×C73C2318yescomplemented
342#120×C73C2318yescomplemented
343#120×C73C2318yescomplemented
344#120×C73C2318yescomplemented
345#120×C73C2318yescomplemented
346#120×C73C2318yescomplemented
347#120×C73C2318yescomplemented
348#120×C73C2318yescomplemented
349#120×C73C2318yescomplemented
350#120×C73C2318yescomplemented
351#120×C73C2318yescomplemented
352#120×C73C2318yescomplemented
353#120×C73C2318yescomplemented
354#120×C73C2318yescomplemented
355#120×C73C2318yescomplemented
356#120×C73C2314yescomplemented
357#120×C73C2318yescomplemented
358#120×C73C2318yescomplemented
359#120×C73C2318yescomplemented
360C4×Q8×C73C2314yescomplemented
361C4×Q8×C73C2312yescomplemented
362C4×D4×C73C2312yes—
363C4×D4×C73C2314yes—
364C4×D4×C73C2314yes—
365C4×D4×C73C2314yes—
366C4×D4×C73C2314yescomplemented
367C4×D4×C73C2314yescomplemented
368C4×D4×C73C2314yescomplemented
369C4×D4×C73C2318yescomplemented
370C4×D4×C73C2314yescomplemented
371C4×D4×C73C2314yescomplemented
372C4×D4×C73C2312yescomplemented
373C4×D4×C73C2314yescomplemented
374C4×D4×C73C2318yescomplemented
375C4×D4×C73C2318yescomplemented
376C4×D4×C73C2318yescomplemented
377C4×D4×C73C2318yescomplemented
378C4×D4×C73C2318yescomplemented
379C4×D4×C73C2318yescomplemented
380C4×D4×C73C2314yescomplemented
381C4×D4×C73C2314yescomplemented
382C4×D4×C73C2318yescomplemented
383C4×D4×C73C2312yescomplemented
384C4×D4×C73C2314yescomplemented
385C4×D4×C73C2318yescomplemented
386C4×D4×C73C2318yescomplemented
387C4×D4×C73C2318yescomplemented
388C4×D4×C73C2318yescomplemented
389C4×D4×C73C2314yescomplemented
390#117×C73C2314yescomplemented
391#117×C73C2318yescomplemented
392#117×C73C2314yescomplemented
393#117×C73C2312yescomplemented
394#117×C73C2314yescomplemented
395#117×C73C2314yescomplemented
396#117×C73C2318yescomplemented
397C2×C4⋊C4×C73C2312yescomplemented
398C2×C4⋊C4×C73C2312yescomplemented
399C2×C4⋊C4×C73C2311yescharacteristic, complemented
400C2×C4⋊C4×C73C2311yescharacteristic, complemented
401C2×C4⋊C4×C73C2314yescomplemented
402C2×C4⋊C4×C73C2312yescomplemented
403C2×C4⋊C4×C73C2312yescomplemented
404C2×C4⋊C4×C73C2314yescomplemented
405C2×C22⋊C4×C73C2311yescharacteristic
406C2×C22⋊C4×C73C2312yes—
407C2×C22⋊C4×C73C2312yes—
408C2×C22⋊C4×C73C2318yescomplemented
409C2×C22⋊C4×C73C2312yescomplemented
410C2×C22⋊C4×C73C2312yescomplemented
411C2×C22⋊C4×C73C2318yescomplemented
412C2×C22⋊C4×C73C2312yescomplemented
413C2×C22⋊C4×C73C2314yescomplemented
414C2×C22⋊C4×C73C2312yescomplemented
415C2×C22⋊C4×C73C2311yescharacteristic, complemented
416C2×C22⋊C4×C73C2318yescomplemented
417C2×C22⋊C4×C73C2318yescomplemented
418C2×C22⋊C4×C73C2318yescomplemented
419C2×C22⋊C4×C73C2314yescomplemented
420C2×C22⋊C4×C73C2314yescomplemented
421C2×C22⋊C4×C73C2318yescomplemented
422C2×C22⋊C4×C73C2312yescomplemented
423C2×C22⋊C4×C73C2318yescomplemented
424C2×C22⋊C4×C73C2314yescomplemented
425C2×C42×C73C2311yescharacteristic, complemented
426C2×C42×C73C2312yescomplemented
427C24×C73—28no—
428C24×C73—44no—
429C24×C73—48no—
430C24×C73—48no—
431C24×C73—82no—
432C24×C73—84no—
433C24×C73C2414yes—
434C24×C73C2412yes—
435C24×C73C2414yes—
436C24×C73C2414yes—
437C24×C73C2418yes—
438C24×C73C2412yes—
439C24×C73C2412yes—
440C24×C73C2411yescharacteristic
441C24×C73C2418yes—
442C24×C73C2414yes—
443C24×C73C2411yescharacteristic
444#41×C73—28no—
445#41×C73—44no—
446#41×C73—48no—
447#41×C73—416no—
448#41×C73—48no—
449#41×C73—48no—
450#41×C73—44no—
451#41×C73—48no—
452#41×C73—84no—
453C2×Q8×C73—42no—
454C2×Q8×C73C2412yes—
455C2×Q8×C73C2412yes—
456C2×Q8×C73C2412yes—
457C2×Q8×C73C2412yes—
458C2×Q8×C73C2414yes—
459C2×D4×C73—28no—
460C2×D4×C73—216no—
461C2×D4×C73—24no—
462C2×D4×C73—28no—
463C2×D4×C73—24no—
464C2×D4×C73—216no—
465C2×D4×C73—44no—
466C2×D4×C73—42no—
467C2×D4×C73—44no—
468C2×D4×C73—48no—
469C2×D4×C73—44no—
470C2×D4×C73—48no—
471C2×D4×C73—48no—
472C2×D4×C73—48no—
473C2×D4×C73—44no—
474C2×D4×C73—416no—
475C2×D4×C73—416no—
476C2×D4×C73—48no—
477C2×D4×C73—416no—
478C2×D4×C73—416no—
479C2×D4×C73—416no—
480C2×D4×C73—48no—
481C2×D4×C73—44no—
482C2×D4×C73—48no—
483C2×D4×C73—416no—
484C2×D4×C73—416no—
485C2×D4×C73—82no—
486C2×D4×C73—84no—
487C2×D4×C73—84no—
488C2×D4×C73—88no—
489C2×D4×C73C2414yes—
490C2×D4×C73C2418yes—
491C2×D4×C73C2414yes—
492C2×D4×C73C2418yes—
493C2×D4×C73C2414yes—
494C2×D4×C73C2412yes—
495C2×D4×C73C2414yes—
496C2×D4×C73C2418yes—
497C2×D4×C73C2414yes—
498C2×D4×C73C2412yes—
499C2×D4×C73C2414yes—
500C2×D4×C73C2411yescharacteristic
501C2×D4×C73C2412yes—
502C2×D4×C73C2418yes—
503C2×D4×C73C2418yes—
504C2×D4×C73C2418yes—
505C2×D4×C73C2414yes—
506C2×D4×C73C2414yes—
507C2×D4×C73C2418yes—
508C2×D4×C73C2412yes—
509C2×D4×C73C2418yes—
510C2×D4×C73C2418yes—
511C2×D4×C73C2418yes—
512C2×D4×C73C2414yes—
513C2×D4×C73C2414yes—
514C2×D4×C73C2412yes—
515C2×D4×C73C2414yes—
516C2×D4×C73C2414yes—
517C2×D4×C73C2418yes—
518C2×D4×C73C2418yes—
519C2×D4×C73C2414yes—
520C2×D4×C73C2418yes—
521C2×D4×C73C2414yes—
522C2×D4×C73C2418yes—
523C2×D4×C73C2411yescharacteristic
524C22×C4×C73—42no—
525C22×C4×C73—44no—
526C22×C4×C73—42no—
527C22×C4×C73—48no—
528C22×C4×C73—44no—
529C22×C4×C73—82no—
530C22×C4×C73C2411yescharacteristic
531C22×C4×C73C2412yes—
532C22×C4×C73C2411yescharacteristic
533C22×C4×C73C2412yes—
534C22×C4×C73C2414yes—
535C22×C4×C73C2414yes—
536C22×C4×C73C2412yes—
537C22×C4×C73C2414yes—
538C22×C4×C73C2412yes—
539C22×C4×C73C2411yescharacteristic
540C22×C4×C73C2412yes—
541C22×C4×C73C2412yes—
542C22×C4×C73C2412yes—
543C22×C4×C73C2411yescharacteristic
544C22×C4×C73C2414yes—
545C22×C4×C73C2412yes—
546C22×C4×C73C2418yes—
547C22×C4×C73C2418yes—
548C22×C4×C73C2414yes—
549C22×C4×C73C2418yes—
550C22×C4×C73C2418yes—
551C22×C4×C73C2414yes—
552C22×C4×C73C2412yes—
553C22×C4×C73C2411yescharacteristic
554C22×C4×C73C2414yes—
555C22×C4×C73C2414yes—
556C22×C4×C73C2418yes—
557C4⋊C4×C73C2414yes—
558C4⋊C4×C73C2412yes—
559C4⋊C4×C73C2414yes—
560C4⋊C4×C73C2412yes—
561C4⋊C4×C73C2412yes—
562C4⋊C4×C73C2418yes—
563C4⋊C4×C73C2418yes—
564C4⋊C4×C73C2414yes—
565C4⋊C4×C73C2414yes—
566C4⋊C4×C73C2414yes—
567C4⋊C4×C73C2414yes—
568C4⋊C4×C73C2414yes—
569C4⋊C4×C73C2412yes—
570C4⋊C4×C73C2418yes—
571C4⋊C4×C73C2412yes—
572C4⋊C4×C73C2412yes—
573C4⋊C4×C73C2414yes—
574C4⋊C4×C73C2418yes—
575C4⋊C4×C73C2414yes—
576C4⋊C4×C73C2418yes—
577C4⋊C4×C73C2414yes—
578C4⋊C4×C73C2414yes—
579C22⋊C4×C73C2414yes—
580C22⋊C4×C73C2418yes—
581C22⋊C4×C73C2414yes—
582C22⋊C4×C73C2414yes—
583C22⋊C4×C73C2414yes—
584C22⋊C4×C73C2418yes—
585C22⋊C4×C73C2418yes—
586C22⋊C4×C73C2418yes—
587C22⋊C4×C73C2414yes—
588C22⋊C4×C73C2414yes—
589C22⋊C4×C73C2418yes—
590C22⋊C4×C73C2418yes—
591C22⋊C4×C73C2414yes—
592C22⋊C4×C73C2414yes—
593C22⋊C4×C73C2418yes—
594C22⋊C4×C73C2418yes—
595C22⋊C4×C73C2418yes—
596C22⋊C4×C73C2418yes—
597C22⋊C4×C73C2418yes—
598C22⋊C4×C73C2418yes—
599C22⋊C4×C73C2418yes—
600C22⋊C4×C73C2414yes—
601C22⋊C4×C73C2414yes—
602C22⋊C4×C73C2418yes—
603C22⋊C4×C73C2418yes—
604C22⋊C4×C73C2418yes—
605C22⋊C4×C73C2418yes—
606C22⋊C4×C73C2418yes—
607C22⋊C4×C73C2414yes—
608C22⋊C4×C73C2414yes—
609C22⋊C4×C73C2414yes—
610C22⋊C4×C73C2414yes—
611C42×C73C2414yes—
612C42×C73C2412yes—
613C42×C73C2414yes—
614C42×C73C2412yes—
615C42×C73C2418yes—
616C42×C73C2418yes—
617C23×C73—24no—
618C23×C73—28no—
619C23×C73—28no—
620C23×C73—24no—
621C23×C73—24no—
622C23×C73—22no—
623C23×C73—216no—
624C23×C73—28no—
625C23×C73—24no—
626C23×C73—28no—
627C23×C73—41no—
628C23×C73—42no—
629C23×C73—42no—
630C23×C73—41no—
631C23×C73—44no—
632C23×C73—42no—
633C23×C73—41no—
634C23×C73—42no—
635C23×C73—44no—
636C23×C73—44no—
637C23×C73—48no—
638C23×C73—48no—
639C23×C73—48no—
640C23×C73—41no—
641C23×C73—42no—
642C23×C73—48no—
643C23×C73—44no—
644C23×C73—44no—
645C23×C73—48no—
646C23×C73—44no—
647C23×C73—44no—
648C23×C73—44no—
649C23×C73—816no—
650C23×C73—832no—
651C23×C73H(5,𝔽2)14yescomplemented
652C23×C73C2514yes—
653C23×C73C2514yes—
654C23×C73C2518yes—
655C23×C73C2512yes—
656C23×C73C2512yes—
657C23×C73C2512yes—
658C23×C73C2512yes—
659C23×C73C2511yescharacteristic
660Q8×C73—24no—
661Q8×C73—42no—
662Q8×C73—42no—
663Q8×C73—44no—
664Q8×C73—42no—
665D4×C73—28no—
666D4×C73—28no—
667D4×C73—28no—
668D4×C73—216no—
669D4×C73—216no—
670D4×C73—216no—
671D4×C73—28no—
672D4×C73—24no—
673D4×C73—28no—
674D4×C73—24no—
675D4×C73—28no—
676D4×C73—22no—
677D4×C73—44no—
678D4×C73—48no—
679D4×C73—44no—
680D4×C73—48no—
681D4×C73—48no—
682D4×C73—48no—
683D4×C73—48no—
684D4×C73—42no—
685D4×C73—42no—
686D4×C73—44no—
687D4×C73—44no—
688D4×C73—48no—
689D4×C73—44no—
690D4×C73—48no—
691D4×C73—44no—
692D4×C73—48no—
693D4×C73—48no—
694D4×C73—42no—
695D4×C73—48no—
696D4×C73—44no—
697D4×C73—44no—
698D4×C73—48no—
699D4×C73H(5,𝔽2)14yescomplemented
700C2×C4×C73—24no—
701C2×C4×C73—28no—
702C2×C4×C73—28no—
703C2×C4×C73—22no—
704C2×C4×C73—24no—
705C2×C4×C73—22no—
706C2×C4×C73—28no—
707C2×C4×C73—24no—
708C2×C4×C73—41no—
709C2×C4×C73—41no—
710C2×C4×C73—48no—
711C2×C4×C73—44no—
712C2×C4×C73—48no—
713C2×C4×C73—42no—
714C2×C4×C73—42no—
715C2×C4×C73—42no—
716C2×C4×C73—42no—
717C2×C4×C73—44no—
718C2×C4×C73—41no—
719C2×C4×C73—42no—
720C2×C4×C73—44no—
721C2×C4×C73—44no—
722C2×C4×C73—44no—
723C2×C4×C73—48no—
724C2×C4×C73—48no—
725C2×C4×C73—42no—
726C2×C4×C73—48no—
727C2×C4×C73C2514yes—
728C2×C4×C73C2512yes—
729C2×C4×C73C2514yes—
730C2×C4×C73C2512yes—
731C2×C4×C73C2511yescharacteristic
732C2×C4×C73C2514yes—
733C2×C4×C73C2514yes—
734C2×C4×C73C2518yes—
735C2×C4×C73C2514yes—
736C2×C4×C73C2512yes—
737C2×C4×C73C2512yes—
738C2×C4×C73C2511yescharacteristic
739C22×C73—21no—
740C22×C73—22no—
741C22×C73—22no—
742C22×C73—21no—
743C22×C73—22no—
744C22×C73—22no—
745C22×C73—22no—
746C22×C73—24no—
747C22×C73—22no—
748C22×C73—22no—
749C22×C73—24no—
750C22×C73—28no—
751C22×C73—28no—
752C22×C73—24no—
753C22×C73—24no—
754C22×C73—22no—
755C22×C73—22no—
756C22×C73—28no—
757C22×C73—22no—
758C22×C73—24no—
759C22×C73—24no—
760C22×C73—44no—
761C22×C73—48no—
762C22×C73—416no—
763C22×C73—48no—
764C22×C73—82no—
765C22×C73—88no—
766C22×C73—88no—
767C22×C73—816no—
768C22×C73—84no—
769C22×C73—816no—
770C22×C73—164no—
771C22×C73C2×H(5,𝔽2)14yes—
772C22×C73C2×H(5,𝔽2)14yes—
773C22×C73C2×H(5,𝔽2)12yes—
774C22×C73C2611yescharacteristic
775C4×C73—22no—
776C4×C73—24no—
777C4×C73—22no—
778C4×C73—28no—
779C4×C73—24no—
780C4×C73—22no—
781C4×C73—21no—
782C4×C73—24no—
783C4×C73—24no—
784C4×C73—22no—
785C4×C73—24no—
786C4×C73C2×H(5,𝔽2)12yes—
787#62892C7311yesmaximal, characteristic, direct product factor, Sylow
788C2×C73—24no—
789C2×C73—24no—
790C2×C73—22no—
791C2×C73—42no—
792C2×C73—44no—
793C2×C73—44no—
794C2×C73—48no—
795C2×C73—42no—
796C2×C73C22×H(5,𝔽2)11yescharacteristic
797C2×C73C22×H(5,𝔽2)11yescharacteristic
798C2×C73H(7,𝔽2)11yescharacteristic
799#3558C2×C7312yescomplemented
800#3543C2×C7314yescomplemented
801#3542C2×C7314yescomplemented
802#3537C2×C7314yescomplemented
803#3537C2×C7312yescomplemented
804#3534C2×C7318yescomplemented
805#3534C2×C7314yescomplemented
806#3532C2×C7318yescomplemented
807#3519C2×C7312yescomplemented
808#3513C2×C7314yescomplemented
809#3505C2×C7312yescomplemented
810#3496C2×C7311yescharacteristic, complemented
811#3490C2×C7312yescomplemented
812#3488C2×C7312yescomplemented
813#3484C2×C7314yescomplemented
814#3484C2×C7314yescomplemented
815C2×#546C2×C7311yescharacteristic, complemented
816C2×D42C2×C7312yescomplemented
817#3459C2×C7311yescharacteristic, complemented
818C2×#534C2×C7312yescomplemented
819C73#6289211yescharacteristic, direct product factor, Sylow
820C2×H(5,𝔽2)C22×C7312yescomplemented
821C2×H(5,𝔽2)C22×C7312yescomplemented
822C22×#41C22×C7311yescharacteristic, complemented
823C23×D4C22×C7311yescharacteristic, complemented
824C23×D4C22×C7314yescomplemented
825C23×D4C22×C7312yescomplemented
826#562C22×C7318yescomplemented
827#562C22×C7314yescomplemented
828H(3,𝔽4)C22×C7314yescomplemented
829#560C22×C7318yescomplemented
830#560C22×C7318yescomplemented
831#560C22×C7318yescomplemented
832#560C22×C7318yescomplemented
833#559C22×C7314yescomplemented
834#555C22×C7312yescomplemented
835#554C22×C7312yescomplemented
836#553C22×C7318yescomplemented
837#553C22×C7314yescomplemented
838#553C22×C7314yescomplemented
839#553C22×C7318yescomplemented
840#553C22×C7314yescomplemented
841#552C22×C7314yescomplemented
842#551C22×C7318yescomplemented
843#551C22×C7318yescomplemented
844#551C22×C7318yescomplemented
845#551C22×C7318yescomplemented
846#550C22×C7314yescomplemented
847#550C22×C7312yescomplemented
848#548C22×C7314yescomplemented
849#547C22×C7314yescomplemented
850#546C22×C7314yescomplemented
851#546C22×C7314yescomplemented
852#546C22×C7314yescomplemented
853#546C22×C7318yescomplemented
854#546C22×C7318yescomplemented
855#546C22×C7318yescomplemented
856#546C22×C7318yescomplemented
857#546C22×C7318yescomplemented
858#546C22×C7314yescomplemented
859#546C22×C7318yescomplemented
860#546C22×C7318yescomplemented
861#546C22×C7314yescomplemented
862#546C22×C7318yescomplemented
863#546C22×C7318yescomplemented
864#546C22×C7318yescomplemented
865#546C22×C7314yescomplemented
866D42C22×C7314yescomplemented
867D42C22×C7318yescomplemented
868D42C22×C7314yescomplemented
869D42C22×C7314yescomplemented
870D42C22×C7312yescomplemented
871D42C22×C7318yescomplemented
872D42C22×C7318yescomplemented
873D42C22×C7318yescomplemented
874D42C22×C7318yescomplemented
875D42C22×C7314yescomplemented
876D42C22×C7314yescomplemented
877D42C22×C7314yescomplemented
878D42C22×C7318yescomplemented
879D42C22×C7318yescomplemented
880#543C22×C7311yescharacteristic, complemented
881#542C22×C7314yescomplemented
882#540C22×C7314yescomplemented
883#540C22×C7314yescomplemented
884#540C22×C7318yescomplemented
885#540C22×C7318yescomplemented
886#539C22×C7314yescomplemented
887#539C22×C7312yescomplemented
888#539C22×C7314yescomplemented
889#539C22×C7318yescomplemented
890#538C22×C7314yescomplemented
891#538C22×C7318yescomplemented
892#538C22×C7312yescomplemented
893#538C22×C7314yescomplemented
894#538C22×C7314yescomplemented
895#538C22×C7314yescomplemented
896#538C22×C7318yescomplemented
897#538C22×C7318yescomplemented
898#538C22×C7318yescomplemented
899#538C22×C7314yescomplemented
900#537C22×C7314yescomplemented
901#537C22×C7312yescomplemented
902#537C22×C7312yescomplemented
903#535C22×C7318yescomplemented
904#535C22×C7314yescomplemented
905#535C22×C7314yescomplemented
906#535C22×C7314yescomplemented
907#535C22×C7312yescomplemented
908#535C22×C7318yescomplemented
909#534C22×C7311yescharacteristic, complemented
910#534C22×C7314yescomplemented
911#534C22×C7312yescomplemented
912#534C22×C7312yescomplemented
913#534C22×C7318yescomplemented
914#534C22×C7318yescomplemented
915#534C22×C7318yescomplemented
916#534C22×C7318yescomplemented
917#534C22×C7314yescomplemented
918#534C22×C7314yescomplemented
919#534C22×C7318yescomplemented
920#534C22×C7312yescomplemented
921#534C22×C7314yescomplemented
922#532C22×C7312yescomplemented
923C2×#127C22×C7312yescomplemented
924#529C22×C7314yescomplemented
925#529C22×C7312yescomplemented
926#529C22×C7314yescomplemented
927C2×#124C22×C7311yescharacteristic, complemented
928#525C22×C7314yescomplemented
929#525C22×C7318yescomplemented
930#525C22×C7312yescomplemented
931#525C22×C7314yescomplemented
932#525C22×C7314yescomplemented
933#525C22×C7314yescomplemented
934C2×#123C22×C7318yescomplemented
935C2×#123C22×C7312yescomplemented
936C2×C22⋊Q8C22×C7311yescharacteristic, complemented
937C2×#121C22×C7312yescomplemented
938C2×#121C22×C7314yescomplemented
939C2×#121C22×C7312yescomplemented
940C2×#121C22×C7314yescomplemented
941C2×#121C22×C7314yescomplemented
942C2×#121C22×C7311yescharacteristic, complemented
943C2×#121C22×C7312yescomplemented
944C2×#121C22×C7312yescomplemented
945C2×#120C22×C7314yescomplemented
946C2×#120C22×C7312yescomplemented
947C2×#120C22×C7318yescomplemented
948C2×#120C22×C7314yescomplemented
949C2×#120C22×C7318yescomplemented
950#520C22×C7312yescomplemented
951#518C22×C7314yescomplemented
952#518C22×C7314yescomplemented
953C2×C4×D4C22×C7312yescomplemented
954C2×C4×D4C22×C7311yescharacteristic, complemented
955C2×C4×D4C22×C7312yescomplemented
956C2×C4×D4C22×C7311yescharacteristic, complemented
957C22×C22⋊C4C22×C7312yescomplemented
958C25C23×C7312yes—
959C25C23×C7314yescomplemented
960H(5,𝔽2)—48no—
961H(5,𝔽2)—48no—
962C2×#41—44no—
963C2×#41C23×C7312yes—
964C2×#41C23×C7312yescomplemented
965C2×#41C23×C7318yescomplemented
966C2×#41C23×C7314yescomplemented
967C2×#41C23×C7314yescomplemented
968C2×#41C23×C7314yescomplemented
969C2×#41C23×C7314yescomplemented
970C2×#41C23×C7312yescomplemented
971C2×#41C23×C7314yescomplemented
972C22×Q8C23×C7311yescharacteristic, complemented
973C22×D4—44no—
974C22×D4—48no—
975C22×D4—416no—
976C22×D4C23×C7311yescharacteristic
977C22×D4C23×C7312yes—
978C22×D4C23×C7311yescharacteristic
979C22×D4C23×C7312yes—
980C22×D4C23×C7314yes—
981C22×D4C23×C7314yes—
982C22×D4C23×C7314yes—
983C22×D4C23×C7318yes—
984C22×D4C23×C7312yes—
985C22×D4C23×C7311yescharacteristic
986C22×D4C23×C7312yes—
987C22×D4C23×C7318yes—
988C22×D4C23×C7314yescomplemented
989C22×D4C23×C7314yescomplemented
990C22×D4C23×C7312yescomplemented
991C22×D4C23×C7314yescomplemented
992C22×D4C23×C7318yescomplemented
993C22×D4C23×C7318yescomplemented
994C22×D4C23×C7318yescomplemented
995C22×D4C23×C7314yescomplemented
996C22×D4C23×C7312yescomplemented
997C22×D4C23×C7314yescomplemented
998C22×D4C23×C7312yescomplemented
999C22×D4C23×C7318yescomplemented
1000C22×D4C23×C7318yescomplemented
1001C22×D4C23×C7314yescomplemented
1002C22×D4C23×C7314yescomplemented
1003C22×D4C23×C7314yescomplemented
1004C22×D4C23×C7312yescomplemented
1005C22×D4C23×C7318yescomplemented
1006C23×C4C23×C7311yescharacteristic
1007C23×C4C23×C7312yescomplemented
1008C23×C4C23×C7311yescharacteristic, complemented
1009C23×C4C23×C7314yescomplemented
1010C23×C4C23×C7312yescomplemented
1011C23×C4C23×C7312yescomplemented
1012C4⋊Q8C23×C7312yescomplemented
1013#127C23×C7314yes—
1014#127C23×C7314yescomplemented
1015#127C23×C7318yescomplemented
1016#127C23×C7312yescomplemented
1017#127C23×C7318yescomplemented
1018#127C23×C7318yescomplemented
1019#126C23×C7314yescomplemented
1020#126C23×C7314yescomplemented
1021#126C23×C7318yescomplemented
1022#126C23×C7314yescomplemented
1023#126C23×C7318yescomplemented
1024#126C23×C7318yescomplemented
1025#126C23×C7318yescomplemented
1026#126C23×C7318yescomplemented
1027#125C23×C7314yescomplemented
1028#125C23×C7312yescomplemented
1029#125C23×C7314yescomplemented
1030#125C23×C7318yescomplemented
1031#124C23×C7314yescomplemented
1032#124C23×C7314yescomplemented
1033#124C23×C7314yescomplemented
1034#124C23×C7314yescomplemented
1035#124C23×C7312yescomplemented
1036#124C23×C7314yescomplemented
1037#124C23×C7318yescomplemented
1038#124C23×C7318yescomplemented
1039#124C23×C7318yescomplemented
1040#124C23×C7318yescomplemented
1041#124C23×C7318yescomplemented
1042#123C23×C7314yes—
1043#123C23×C7318yes—
1044#123C23×C7318yescomplemented
1045#123C23×C7318yescomplemented
1046#123C23×C7318yescomplemented
1047#123C23×C7318yescomplemented
1048#123C23×C7318yescomplemented
1049#123C23×C7318yescomplemented
1050#123C23×C7318yescomplemented
1051#123C23×C7318yescomplemented
1052#123C23×C7314yescomplemented
1053#123C23×C7314yescomplemented
1054#123C23×C7314yescomplemented
1055#123C23×C7318yescomplemented
1056#123C23×C7318yescomplemented
1057#123C23×C7314yescomplemented
1058#123C23×C7318yescomplemented
1059#123C23×C7314yescomplemented
1060#123C23×C7318yescomplemented
1061#123C23×C7318yescomplemented
1062#123C23×C7318yescomplemented
1063#123C23×C7318yescomplemented
1064#123C23×C7318yescomplemented
1065#123C23×C7318yescomplemented
1066#123C23×C7318yescomplemented
1067C22⋊Q8C23×C7314yescomplemented
1068C22⋊Q8C23×C7314yescomplemented
1069C22⋊Q8C23×C7312yescomplemented
1070C22⋊Q8C23×C7312yescomplemented
1071C22⋊Q8C23×C7312yescomplemented
1072C22⋊Q8C23×C7314yescomplemented
1073C22⋊Q8C23×C7314yescomplemented
1074C22⋊Q8C23×C7314yescomplemented
1075C22⋊Q8C23×C7318yescomplemented
1076C22⋊Q8C23×C7314yescomplemented
1077C22⋊Q8C23×C7318yescomplemented
1078C22⋊Q8C23×C7314yescomplemented
1079C22⋊Q8C23×C7314yescomplemented
1080C22⋊Q8C23×C7318yescomplemented
1081C22⋊Q8C23×C7318yescomplemented
1082#121C23×C7312yes—
1083#121C23×C7312yes—
1084#121C23×C7314yes—
1085#121C23×C7318yes—
1086#121C23×C7314yes—
1087#121C23×C7314yes—
1088#121C23×C7314yes—
1089#121C23×C7314yes—
1090#121C23×C7314yescomplemented
1091#121C23×C7314yescomplemented
1092#121C23×C7314yescomplemented
1093#121C23×C7314yescomplemented
1094#121C23×C7314yescomplemented
1095#121C23×C7318yescomplemented
1096#121C23×C7318yescomplemented
1097#121C23×C7318yescomplemented
1098#121C23×C7318yescomplemented
1099#121C23×C7314yescomplemented
1100#121C23×C7314yescomplemented
1101#121C23×C7314yescomplemented
1102#121C23×C7318yescomplemented
1103#121C23×C7314yescomplemented
1104#121C23×C7314yescomplemented
1105#121C23×C7314yescomplemented
1106#121C23×C7314yescomplemented
1107#121C23×C7318yescomplemented
1108#121C23×C7318yescomplemented
1109#121C23×C7314yescomplemented
1110#121C23×C7318yescomplemented
1111#121C23×C7318yescomplemented
1112#121C23×C7318yescomplemented
1113#121C23×C7312yescomplemented
1114#121C23×C7314yescomplemented
1115#121C23×C7318yescomplemented
1116#121C23×C7314yescomplemented
1117#121C23×C7314yescomplemented
1118#121C23×C7314yescomplemented
1119#121C23×C7318yescomplemented
1120#121C23×C7318yescomplemented
1121#121C23×C7318yescomplemented
1122#121C23×C7318yescomplemented
1123#121C23×C7318yescomplemented
1124#121C23×C7318yescomplemented
1125#121C23×C7318yescomplemented
1126#121C23×C7318yescomplemented
1127#121C23×C7318yescomplemented
1128#121C23×C7318yescomplemented
1129#121C23×C7318yescomplemented
1130#121C23×C7318yescomplemented
1131#121C23×C7318yescomplemented
1132#120C23×C7314yes—
1133#120C23×C7318yes—
1134#120C23×C7318yes—
1135#120C23×C7318yes—
1136#120C23×C7318yes—
1137#120C23×C7318yescomplemented
1138#120C23×C7314yescomplemented
1139#120C23×C7318yescomplemented
1140#120C23×C7318yescomplemented
1141#120C23×C7318yescomplemented
1142#120C23×C7318yescomplemented
1143#120C23×C7318yescomplemented
1144#120C23×C7318yescomplemented
1145#120C23×C7318yescomplemented
1146#120C23×C7318yescomplemented
1147#120C23×C7318yescomplemented
1148#120C23×C7318yescomplemented
1149#120C23×C7318yescomplemented
1150#120C23×C7318yescomplemented
1151#120C23×C7318yescomplemented
1152#120C23×C7318yescomplemented
1153#120C23×C7318yescomplemented
1154#120C23×C7318yescomplemented
1155#120C23×C7314yescomplemented
1156#120C23×C7318yescomplemented
1157#120C23×C7318yescomplemented
1158#120C23×C7318yescomplemented
1159C4×Q8C23×C7314yescomplemented
1160C4×Q8C23×C7312yescomplemented
1161C4×D4C23×C7312yes—
1162C4×D4C23×C7314yes—
1163C4×D4C23×C7314yes—
1164C4×D4C23×C7314yes—
1165C4×D4C23×C7314yescomplemented
1166C4×D4C23×C7314yescomplemented
1167C4×D4C23×C7314yescomplemented
1168C4×D4C23×C7318yescomplemented
1169C4×D4C23×C7314yescomplemented
1170C4×D4C23×C7314yescomplemented
1171C4×D4C23×C7312yescomplemented
1172C4×D4C23×C7314yescomplemented
1173C4×D4C23×C7318yescomplemented
1174C4×D4C23×C7318yescomplemented
1175C4×D4C23×C7318yescomplemented
1176C4×D4C23×C7318yescomplemented
1177C4×D4C23×C7318yescomplemented
1178C4×D4C23×C7318yescomplemented
1179C4×D4C23×C7314yescomplemented
1180C4×D4C23×C7314yescomplemented
1181C4×D4C23×C7318yescomplemented
1182C4×D4C23×C7312yescomplemented
1183C4×D4C23×C7314yescomplemented
1184C4×D4C23×C7318yescomplemented
1185C4×D4C23×C7318yescomplemented
1186C4×D4C23×C7318yescomplemented
1187C4×D4C23×C7318yescomplemented
1188C4×D4C23×C7314yescomplemented
1189#117C23×C7314yescomplemented
1190#117C23×C7318yescomplemented
1191#117C23×C7314yescomplemented
1192#117C23×C7312yescomplemented
1193#117C23×C7314yescomplemented
1194#117C23×C7314yescomplemented
1195#117C23×C7318yescomplemented
1196C2×C4⋊C4C23×C7312yescomplemented
1197C2×C4⋊C4C23×C7312yescomplemented
1198C2×C4⋊C4C23×C7311yescharacteristic, complemented
1199C2×C4⋊C4C23×C7311yescharacteristic, complemented
1200C2×C4⋊C4C23×C7314yescomplemented
1201C2×C4⋊C4C23×C7312yescomplemented
1202C2×C4⋊C4C23×C7312yescomplemented
1203C2×C4⋊C4C23×C7314yescomplemented
1204C2×C22⋊C4C23×C7311yescharacteristic
1205C2×C22⋊C4C23×C7312yes—
1206C2×C22⋊C4C23×C7312yes—
1207C2×C22⋊C4C23×C7318yescomplemented
1208C2×C22⋊C4C23×C7312yescomplemented
1209C2×C22⋊C4C23×C7312yescomplemented
1210C2×C22⋊C4C23×C7318yescomplemented
1211C2×C22⋊C4C23×C7312yescomplemented
1212C2×C22⋊C4C23×C7314yescomplemented
1213C2×C22⋊C4C23×C7312yescomplemented
1214C2×C22⋊C4C23×C7311yescharacteristic, complemented
1215C2×C22⋊C4C23×C7318yescomplemented
1216C2×C22⋊C4C23×C7318yescomplemented
1217C2×C22⋊C4C23×C7318yescomplemented
1218C2×C22⋊C4C23×C7314yescomplemented
1219C2×C22⋊C4C23×C7314yescomplemented
1220C2×C22⋊C4C23×C7318yescomplemented
1221C2×C22⋊C4C23×C7312yescomplemented
1222C2×C22⋊C4C23×C7318yescomplemented
1223C2×C22⋊C4C23×C7314yescomplemented
1224C2×C42C23×C7311yescharacteristic, complemented
1225C2×C42C23×C7312yescomplemented
1226C24—28no—
1227C24—44no—
1228C24—48no—
1229C24—48no—
1230C24—82no—
1231C24—84no—
1232C24C24×C7314yes—
1233C24C24×C7312yes—
1234C24C24×C7314yes—
1235C24C24×C7314yes—
1236C24C24×C7318yes—
1237C24C24×C7312yes—
1238C24C24×C7312yes—
1239C24C24×C7311yescharacteristic
1240C24C24×C7318yes—
1241C24C24×C7314yes—
1242C24C24×C7311yescharacteristic
1243#41—28no—
1244#41—44no—
1245#41—48no—
1246#41—416no—
1247#41—48no—
1248#41—48no—
1249#41—44no—
1250#41—48no—
1251#41—84no—
1252C2×Q8—42no—
1253C2×Q8C24×C7312yes—
1254C2×Q8C24×C7312yes—
1255C2×Q8C24×C7312yes—
1256C2×Q8C24×C7312yes—
1257C2×Q8C24×C7314yes—
1258C2×D4—28no—
1259C2×D4—216no—
1260C2×D4—24no—
1261C2×D4—28no—
1262C2×D4—24no—
1263C2×D4—216no—
1264C2×D4—44no—
1265C2×D4—42no—
1266C2×D4—44no—
1267C2×D4—48no—
1268C2×D4—44no—
1269C2×D4—48no—
1270C2×D4—48no—
1271C2×D4—48no—
1272C2×D4—44no—
1273C2×D4—416no—
1274C2×D4—416no—
1275C2×D4—48no—
1276C2×D4—416no—
1277C2×D4—416no—
1278C2×D4—416no—
1279C2×D4—48no—
1280C2×D4—44no—
1281C2×D4—48no—
1282C2×D4—416no—
1283C2×D4—416no—
1284C2×D4—82no—
1285C2×D4—84no—
1286C2×D4—84no—
1287C2×D4—88no—
1288C2×D4C24×C7314yes—
1289C2×D4C24×C7318yes—
1290C2×D4C24×C7314yes—
1291C2×D4C24×C7318yes—
1292C2×D4C24×C7314yes—
1293C2×D4C24×C7312yes—
1294C2×D4C24×C7314yes—
1295C2×D4C24×C7318yes—
1296C2×D4C24×C7314yes—
1297C2×D4C24×C7312yes—
1298C2×D4C24×C7314yes—
1299C2×D4C24×C7311yescharacteristic
1300C2×D4C24×C7312yes—
1301C2×D4C24×C7318yes—
1302C2×D4C24×C7318yes—
1303C2×D4C24×C7318yes—
1304C2×D4C24×C7314yes—
1305C2×D4C24×C7314yes—
1306C2×D4C24×C7318yes—
1307C2×D4C24×C7312yes—
1308C2×D4C24×C7318yes—
1309C2×D4C24×C7318yes—
1310C2×D4C24×C7318yes—
1311C2×D4C24×C7314yes—
1312C2×D4C24×C7314yes—
1313C2×D4C24×C7312yes—
1314C2×D4C24×C7314yes—
1315C2×D4C24×C7314yes—
1316C2×D4C24×C7318yes—
1317C2×D4C24×C7318yes—
1318C2×D4C24×C7314yes—
1319C2×D4C24×C7318yes—
1320C2×D4C24×C7314yes—
1321C2×D4C24×C7318yes—
1322C2×D4C24×C7311yescharacteristic
1323C22×C4—42no—
1324C22×C4—44no—
1325C22×C4—42no—
1326C22×C4—48no—
1327C22×C4—44no—
1328C22×C4—82no—
1329C22×C4C24×C7311yescharacteristic
1330C22×C4C24×C7312yes—
1331C22×C4C24×C7311yescharacteristic
1332C22×C4C24×C7312yes—
1333C22×C4C24×C7314yes—
1334C22×C4C24×C7314yes—
1335C22×C4C24×C7312yes—
1336C22×C4C24×C7314yes—
1337C22×C4C24×C7312yes—
1338C22×C4C24×C7311yescharacteristic
1339C22×C4C24×C7312yes—
1340C22×C4C24×C7312yes—
1341C22×C4C24×C7312yes—
1342C22×C4C24×C7311yescharacteristic
1343C22×C4C24×C7314yes—
1344C22×C4C24×C7312yes—
1345C22×C4C24×C7318yes—
1346C22×C4C24×C7318yes—
1347C22×C4C24×C7314yes—
1348C22×C4C24×C7318yes—
1349C22×C4C24×C7318yes—
1350C22×C4C24×C7314yes—
1351C22×C4C24×C7312yes—
1352C22×C4C24×C7311yescharacteristic
1353C22×C4C24×C7314yes—
1354C22×C4C24×C7314yes—
1355C22×C4C24×C7318yes—
1356C4⋊C4C24×C7314yes—
1357C4⋊C4C24×C7312yes—
1358C4⋊C4C24×C7314yes—
1359C4⋊C4C24×C7312yes—
1360C4⋊C4C24×C7312yes—
1361C4⋊C4C24×C7318yes—
1362C4⋊C4C24×C7318yes—
1363C4⋊C4C24×C7314yes—
1364C4⋊C4C24×C7314yes—
1365C4⋊C4C24×C7314yes—
1366C4⋊C4C24×C7314yes—
1367C4⋊C4C24×C7314yes—
1368C4⋊C4C24×C7312yes—
1369C4⋊C4C24×C7318yes—
1370C4⋊C4C24×C7312yes—
1371C4⋊C4C24×C7312yes—
1372C4⋊C4C24×C7314yes—
1373C4⋊C4C24×C7318yes—
1374C4⋊C4C24×C7314yes—
1375C4⋊C4C24×C7318yes—
1376C4⋊C4C24×C7314yes—
1377C4⋊C4C24×C7314yes—
1378C22⋊C4C24×C7314yes—
1379C22⋊C4C24×C7318yes—
1380C22⋊C4C24×C7314yes—
1381C22⋊C4C24×C7314yes—
1382C22⋊C4C24×C7314yes—
1383C22⋊C4C24×C7318yes—
1384C22⋊C4C24×C7318yes—
1385C22⋊C4C24×C7318yes—
1386C22⋊C4C24×C7314yes—
1387C22⋊C4C24×C7314yes—
1388C22⋊C4C24×C7318yes—
1389C22⋊C4C24×C7318yes—
1390C22⋊C4C24×C7314yes—
1391C22⋊C4C24×C7314yes—
1392C22⋊C4C24×C7318yes—
1393C22⋊C4C24×C7318yes—
1394C22⋊C4C24×C7318yes—
1395C22⋊C4C24×C7318yes—
1396C22⋊C4C24×C7318yes—
1397C22⋊C4C24×C7318yes—
1398C22⋊C4C24×C7318yes—
1399C22⋊C4C24×C7314yes—
1400C22⋊C4C24×C7314yes—
1401C22⋊C4C24×C7318yes—
1402C22⋊C4C24×C7318yes—
1403C22⋊C4C24×C7318yes—
1404C22⋊C4C24×C7318yes—
1405C22⋊C4C24×C7318yes—
1406C22⋊C4C24×C7314yes—
1407C22⋊C4C24×C7314yes—
1408C22⋊C4C24×C7314yes—
1409C22⋊C4C24×C7314yes—
1410C42C24×C7314yes—
1411C42C24×C7312yes—
1412C42C24×C7314yes—
1413C42C24×C7312yes—
1414C42C24×C7318yes—
1415C42C24×C7318yes—
1416C23—24no—
1417C23—28no—
1418C23—28no—
1419C23—24no—
1420C23—24no—
1421C23—22no—
1422C23—216no—
1423C23—28no—
1424C23—24no—
1425C23—28no—
1426C23—41no—
1427C23—42no—
1428C23—42no—
1429C23—41no—
1430C23—44no—
1431C23—42no—
1432C23—41no—
1433C23—42no—
1434C23—44no—
1435C23—44no—
1436C23—48no—
1437C23—48no—
1438C23—48no—
1439C23—41no—
1440C23—42no—
1441C23—48no—
1442C23—44no—
1443C23—44no—
1444C23—48no—
1445C23—44no—
1446C23—44no—
1447C23—44no—
1448C23—816no—
1449C23—832no—
1450C23H(5,𝔽2)×C7314yescomplemented
1451C23C25×C7314yes—
1452C23C25×C7314yes—
1453C23C25×C7318yes—
1454C23C25×C7312yes—
1455C23C25×C7312yes—
1456C23C25×C7312yes—
1457C23C25×C7312yes—
1458C23C25×C7311yescharacteristic
1459Q8—24no—
1460Q8—42no—
1461Q8—42no—
1462Q8—44no—
1463Q8—42no—
1464D4—28no—
1465D4—28no—
1466D4—28no—
1467D4—216no—
1468D4—216no—
1469D4—216no—
1470D4—28no—
1471D4—24no—
1472D4—28no—
1473D4—24no—
1474D4—28no—
1475D4—22no—
1476D4—44no—
1477D4—48no—
1478D4—44no—
1479D4—48no—
1480D4—48no—
1481D4—48no—
1482D4—48no—
1483D4—42no—
1484D4—42no—
1485D4—44no—
1486D4—44no—
1487D4—48no—
1488D4—44no—
1489D4—48no—
1490D4—44no—
1491D4—48no—
1492D4—48no—
1493D4—42no—
1494D4—48no—
1495D4—44no—
1496D4—44no—
1497D4—48no—
1498D4H(5,𝔽2)×C7314yescomplemented
1499C2×C4—24no—
1500C2×C4—28no—
1501C2×C4—28no—
1502C2×C4—22no—
1503C2×C4—24no—
1504C2×C4—22no—
1505C2×C4—28no—
1506C2×C4—24no—
1507C2×C4—41no—
1508C2×C4—41no—
1509C2×C4—48no—
1510C2×C4—44no—
1511C2×C4—48no—
1512C2×C4—42no—
1513C2×C4—42no—
1514C2×C4—42no—
1515C2×C4—42no—
1516C2×C4—44no—
1517C2×C4—41no—
1518C2×C4—42no—
1519C2×C4—44no—
1520C2×C4—44no—
1521C2×C4—44no—
1522C2×C4—48no—
1523C2×C4—48no—
1524C2×C4—42no—
1525C2×C4—48no—
1526C2×C4C25×C7314yes—
1527C2×C4C25×C7312yes—
1528C2×C4C25×C7314yes—
1529C2×C4C25×C7312yes—
1530C2×C4C25×C7311yescharacteristic
1531C2×C4C25×C7314yes—
1532C2×C4C25×C7314yes—
1533C2×C4C25×C7318yes—
1534C2×C4C25×C7314yes—
1535C2×C4C25×C7312yes—
1536C2×C4C25×C7312yes—
1537C2×C4C25×C7311yescharacteristic
1538C22—21no—
1539C22—22no—
1540C22—22no—
1541C22—21no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—24no—
1546C22—22no—
1547C22—22no—
1548C22—24no—
1549C22—28no—
1550C22—28no—
1551C22—24no—
1552C22—24no—
1553C22—22no—
1554C22—22no—
1555C22—28no—
1556C22—22no—
1557C22—24no—
1558C22—24no—
1559C22—44no—
1560C22—416no—
1561C22—48no—
1562C22—48no—
1563C22—88no—
1564C22—88no—
1565C22—816no—
1566C22—84no—
1567C22—82no—
1568C22—816no—
1569C22—164no—
1570C22C2×H(5,𝔽2)×C7314yes—
1571C22C2×H(5,𝔽2)×C7314yes—
1572C22C2×H(5,𝔽2)×C7312yes—
1573C22C26×C7311yescharacteristic
1574C4—22no—
1575C4—24no—
1576C4—22no—
1577C4—28no—
1578C4—24no—
1579C4—22no—
1580C4—21no—
1581C4—24no—
1582C4—24no—
1583C4—22no—
1584C4—24no—
1585C4C2×H(5,𝔽2)×C7312yes—
1586C2—24no—
1587C2—24no—
1588C2—22no—
1589C2—44no—
1590C2—44no—
1591C2—42no—
1592C2—48no—
1593C2—42no—
1594C2C22×H(5,𝔽2)×C7311yescharacteristic
1595C2C22×H(5,𝔽2)×C7311yescharacteristic
1596C2C73×H(7,𝔽2)11yescharacteristic
subgroupG/H
center, socleC22×C73C26
commutator, Frattini, cosocleC22C26×C73
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22×C73 ◁ G

Complements

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

NH ≅ G/Ntype
1. C73×#3558C2semidirect
2. C73×#3543C2semidirect
3. C73×#3542C2semidirect
4. C73×#3537C2semidirect
5. C73×#3537C2semidirect
6. C73×#3534C2semidirect
7. C73×#3534C2semidirect
8. C73×#3532C2semidirect
9. C73×#3519C2semidirect
10. C73×#3513C2semidirect
11. C73×#3505C2semidirect
12. C73×#3496C2semidirect
13. C73×#3490C2semidirect
14. C73×#3488C2semidirect
15. C73×#3484C2semidirect
16. C73×#3484C2semidirect
17. C2×#546×C73C2semidirect
18. C2×D42×C73C2semidirect
19. C73×#3459C2semidirect
20. C2×#534×C73C2semidirect
21. C2×H(5,𝔽2)×C73C22semidirect
22. C2×H(5,𝔽2)×C73C22semidirect
23. C22×#41×C73C22semidirect
24. C23×D4×C73C22semidirect
25. C23×D4×C73C22semidirect
26. C23×D4×C73C22semidirect
27. #562×C73C22semidirect
28. #562×C73C22semidirect
29. H(3,𝔽4)×C73C22semidirect
30. #560×C73C22semidirect
31. #560×C73C22semidirect
32. #560×C73C22semidirect
33. #560×C73C22semidirect
34. #559×C73C22semidirect
35. #555×C73C22semidirect
36. #554×C73C22semidirect
37. #553×C73C22semidirect
38. #553×C73C22semidirect
39. #553×C73C22semidirect
40. #553×C73C22semidirect
41. #553×C73C22semidirect
42. #552×C73C22semidirect
43. #551×C73C22semidirect
44. #551×C73C22semidirect
45. #551×C73C22semidirect
46. #551×C73C22semidirect
47. #550×C73C22semidirect
48. #550×C73C22semidirect
49. #548×C73C22semidirect
50. #547×C73C22semidirect
51. #546×C73C22semidirect
52. #546×C73C22semidirect
53. #546×C73C22semidirect
54. #546×C73C22semidirect
55. #546×C73C22semidirect
56. #546×C73C22semidirect
57. #546×C73C22semidirect
58. #546×C73C22semidirect
59. #546×C73C22semidirect
60. #546×C73C22semidirect
61. #546×C73C22semidirect
62. #546×C73C22semidirect
63. #546×C73C22semidirect
64. #546×C73C22semidirect
65. #546×C73C22semidirect
66. #546×C73C22semidirect
67. D42×C73C22semidirect
68. D42×C73C22semidirect
69. D42×C73C22semidirect
70. D42×C73C22semidirect
71. D42×C73C22semidirect
72. D42×C73C22semidirect
73. D42×C73C22semidirect
74. D42×C73C22semidirect
75. D42×C73C22semidirect
76. D42×C73C22semidirect
77. D42×C73C22semidirect
78. D42×C73C22semidirect
79. D42×C73C22semidirect
80. D42×C73C22semidirect
81. #543×C73C22semidirect
82. #542×C73C22semidirect
83. #540×C73C22semidirect
84. #540×C73C22semidirect
85. #540×C73C22semidirect
86. #540×C73C22semidirect
87. #539×C73C22semidirect
88. #539×C73C22semidirect
89. #539×C73C22semidirect
90. #539×C73C22semidirect
91. #538×C73C22semidirect
92. #538×C73C22semidirect
93. #538×C73C22semidirect
94. #538×C73C22semidirect
95. #538×C73C22semidirect
96. #538×C73C22semidirect
97. #538×C73C22semidirect
98. #538×C73C22semidirect
99. #538×C73C22semidirect
100. #538×C73C22semidirect
101. #537×C73C22semidirect
102. #537×C73C22semidirect
103. #537×C73C22semidirect
104. #535×C73C22semidirect
105. #535×C73C22semidirect
106. #535×C73C22semidirect
107. #535×C73C22semidirect
108. #535×C73C22semidirect
109. #535×C73C22semidirect
110. #534×C73C22semidirect
111. #534×C73C22semidirect
112. #534×C73C22semidirect
113. #534×C73C22semidirect
114. #534×C73C22semidirect
115. #534×C73C22semidirect
116. #534×C73C22semidirect
117. #534×C73C22semidirect
118. #534×C73C22semidirect
119. #534×C73C22semidirect
120. #534×C73C22semidirect
121. #534×C73C22semidirect
122. #534×C73C22semidirect
123. #532×C73C22semidirect
124. C2×#127×C73C22semidirect
125. #529×C73C22semidirect
126. #529×C73C22semidirect
127. #529×C73C22semidirect
128. C2×#124×C73C22semidirect
129. #525×C73C22semidirect
130. #525×C73C22semidirect
131. #525×C73C22semidirect
132. #525×C73C22semidirect
133. #525×C73C22semidirect
134. #525×C73C22semidirect
135. C2×#123×C73C22semidirect
136. C2×#123×C73C22semidirect
137. C2×C22⋊Q8×C73C22semidirect
138. C2×#121×C73C22semidirect
139. C2×#121×C73C22semidirect
140. C2×#121×C73C22semidirect
141. C2×#121×C73C22semidirect
142. C2×#121×C73C22semidirect
143. C2×#121×C73C22semidirect
144. C2×#121×C73C22semidirect
145. C2×#121×C73C22semidirect
146. C2×#120×C73C22semidirect
147. C2×#120×C73C22semidirect
148. C2×#120×C73C22semidirect
149. C2×#120×C73C22semidirect
150. C2×#120×C73C22semidirect
151. #520×C73C22semidirect
152. #518×C73C22semidirect
153. #518×C73C22semidirect
154. C2×C4×D4×C73C22semidirect
155. C2×C4×D4×C73C22semidirect
156. C2×C4×D4×C73C22semidirect
157. C2×C4×D4×C73C22semidirect
158. C22×C22⋊C4×C73C22semidirect
160. C25×C73C23semidirect
165. C2×#41×C73C23semidirect
166. C2×#41×C73C23semidirect
167. C2×#41×C73C23semidirect
168. C2×#41×C73C23semidirect
169. C2×#41×C73C23semidirect
170. C2×#41×C73C23semidirect
171. C2×#41×C73C23semidirect
172. C2×#41×C73C23semidirect
173. C22×Q8×C73C23semidirect
189. C22×D4×C73C23semidirect
190. C22×D4×C73C23semidirect
191. C22×D4×C73C23semidirect
192. C22×D4×C73C23semidirect
193. C22×D4×C73C23semidirect
194. C22×D4×C73C23semidirect
195. C22×D4×C73C23semidirect
196. C22×D4×C73C23semidirect
197. C22×D4×C73C23semidirect
198. C22×D4×C73C23semidirect
199. C22×D4×C73C23semidirect
200. C22×D4×C73C23semidirect
201. C22×D4×C73C23semidirect
202. C22×D4×C73C23semidirect
203. C22×D4×C73C23semidirect
204. C22×D4×C73C23semidirect
205. C22×D4×C73C23semidirect
206. C22×D4×C73C23semidirect
208. C23×C4×C73C23semidirect
209. C23×C4×C73C23semidirect
210. C23×C4×C73C23semidirect
211. C23×C4×C73C23semidirect
212. C23×C4×C73C23semidirect
213. C4⋊Q8×C73C23semidirect
215. #127×C73C23semidirect
216. #127×C73C23semidirect
217. #127×C73C23semidirect
218. #127×C73C23semidirect
219. #127×C73C23semidirect
220. #126×C73C23semidirect
221. #126×C73C23semidirect
222. #126×C73C23semidirect
223. #126×C73C23semidirect
224. #126×C73C23semidirect
225. #126×C73C23semidirect
226. #126×C73C23semidirect
227. #126×C73C23semidirect
228. #125×C73C23semidirect
229. #125×C73C23semidirect
230. #125×C73C23semidirect
231. #125×C73C23semidirect
232. #124×C73C23semidirect
233. #124×C73C23semidirect
234. #124×C73C23semidirect
235. #124×C73C23semidirect
236. #124×C73C23semidirect
237. #124×C73C23semidirect
238. #124×C73C23semidirect
239. #124×C73C23semidirect
240. #124×C73C23semidirect
241. #124×C73C23semidirect
242. #124×C73C23semidirect
245. #123×C73C23semidirect
246. #123×C73C23semidirect
247. #123×C73C23semidirect
248. #123×C73C23semidirect
249. #123×C73C23semidirect
250. #123×C73C23semidirect
251. #123×C73C23semidirect
252. #123×C73C23semidirect
253. #123×C73C23semidirect
254. #123×C73C23semidirect
255. #123×C73C23semidirect
256. #123×C73C23semidirect
257. #123×C73C23semidirect
258. #123×C73C23semidirect
259. #123×C73C23semidirect
260. #123×C73C23semidirect
261. #123×C73C23semidirect
262. #123×C73C23semidirect
263. #123×C73C23semidirect
264. #123×C73C23semidirect
265. #123×C73C23semidirect
266. #123×C73C23semidirect
267. #123×C73C23semidirect
268. C22⋊Q8×C73C23semidirect
269. C22⋊Q8×C73C23semidirect
270. C22⋊Q8×C73C23semidirect
271. C22⋊Q8×C73C23semidirect
272. C22⋊Q8×C73C23semidirect
273. C22⋊Q8×C73C23semidirect
274. C22⋊Q8×C73C23semidirect
275. C22⋊Q8×C73C23semidirect
276. C22⋊Q8×C73C23semidirect
277. C22⋊Q8×C73C23semidirect
278. C22⋊Q8×C73C23semidirect
279. C22⋊Q8×C73C23semidirect
280. C22⋊Q8×C73C23semidirect
281. C22⋊Q8×C73C23semidirect
282. C22⋊Q8×C73C23semidirect
291. #121×C73C23semidirect
292. #121×C73C23semidirect
293. #121×C73C23semidirect
294. #121×C73C23semidirect
295. #121×C73C23semidirect
296. #121×C73C23semidirect
297. #121×C73C23semidirect
298. #121×C73C23semidirect
299. #121×C73C23semidirect
300. #121×C73C23semidirect
301. #121×C73C23semidirect
302. #121×C73C23semidirect
303. #121×C73C23semidirect
304. #121×C73C23semidirect
305. #121×C73C23semidirect
306. #121×C73C23semidirect
307. #121×C73C23semidirect
308. #121×C73C23semidirect
309. #121×C73C23semidirect
310. #121×C73C23semidirect
311. #121×C73C23semidirect
312. #121×C73C23semidirect
313. #121×C73C23semidirect
314. #121×C73C23semidirect
315. #121×C73C23semidirect
316. #121×C73C23semidirect
317. #121×C73C23semidirect
318. #121×C73C23semidirect
319. #121×C73C23semidirect
320. #121×C73C23semidirect
321. #121×C73C23semidirect
322. #121×C73C23semidirect
323. #121×C73C23semidirect
324. #121×C73C23semidirect
325. #121×C73C23semidirect
326. #121×C73C23semidirect
327. #121×C73C23semidirect
328. #121×C73C23semidirect
329. #121×C73C23semidirect
330. #121×C73C23semidirect
331. #121×C73C23semidirect
332. #121×C73C23semidirect
338. #120×C73C23semidirect
339. #120×C73C23semidirect
340. #120×C73C23semidirect
341. #120×C73C23semidirect
342. #120×C73C23semidirect
343. #120×C73C23semidirect
344. #120×C73C23semidirect
345. #120×C73C23semidirect
346. #120×C73C23semidirect
347. #120×C73C23semidirect
348. #120×C73C23semidirect
349. #120×C73C23semidirect
350. #120×C73C23semidirect
351. #120×C73C23semidirect
352. #120×C73C23semidirect
353. #120×C73C23semidirect
354. #120×C73C23semidirect
355. #120×C73C23semidirect
356. #120×C73C23semidirect
357. #120×C73C23semidirect
358. #120×C73C23semidirect
359. #120×C73C23semidirect
360. C4×Q8×C73C23semidirect
361. C4×Q8×C73C23semidirect
366. C4×D4×C73C23semidirect
367. C4×D4×C73C23semidirect
368. C4×D4×C73C23semidirect
369. C4×D4×C73C23semidirect
370. C4×D4×C73C23semidirect
371. C4×D4×C73C23semidirect
372. C4×D4×C73C23semidirect
373. C4×D4×C73C23semidirect
374. C4×D4×C73C23semidirect
375. C4×D4×C73C23semidirect
376. C4×D4×C73C23semidirect
377. C4×D4×C73C23semidirect
378. C4×D4×C73C23semidirect
379. C4×D4×C73C23semidirect
380. C4×D4×C73C23semidirect
381. C4×D4×C73C23semidirect
382. C4×D4×C73C23semidirect
383. C4×D4×C73C23semidirect
384. C4×D4×C73C23semidirect
385. C4×D4×C73C23semidirect
386. C4×D4×C73C23semidirect
387. C4×D4×C73C23semidirect
388. C4×D4×C73C23semidirect
389. C4×D4×C73C23semidirect
390. #117×C73C23semidirect
391. #117×C73C23semidirect
392. #117×C73C23semidirect
393. #117×C73C23semidirect
394. #117×C73C23semidirect
395. #117×C73C23semidirect
396. #117×C73C23semidirect
397. C2×C4⋊C4×C73C23semidirect
398. C2×C4⋊C4×C73C23semidirect
399. C2×C4⋊C4×C73C23semidirect
400. C2×C4⋊C4×C73C23semidirect
401. C2×C4⋊C4×C73C23semidirect
402. C2×C4⋊C4×C73C23semidirect
403. C2×C4⋊C4×C73C23semidirect
404. C2×C4⋊C4×C73C23semidirect
408. C2×C22⋊C4×C73C23semidirect
409. C2×C22⋊C4×C73C23semidirect
410. C2×C22⋊C4×C73C23semidirect
411. C2×C22⋊C4×C73C23semidirect
412. C2×C22⋊C4×C73C23semidirect
413. C2×C22⋊C4×C73C23semidirect
414. C2×C22⋊C4×C73C23semidirect
415. C2×C22⋊C4×C73C23semidirect
416. C2×C22⋊C4×C73C23semidirect
417. C2×C22⋊C4×C73C23semidirect
418. C2×C22⋊C4×C73C23semidirect
419. C2×C22⋊C4×C73C23semidirect
420. C2×C22⋊C4×C73C23semidirect
421. C2×C22⋊C4×C73C23semidirect
422. C2×C22⋊C4×C73C23semidirect
423. C2×C22⋊C4×C73C23semidirect
424. C2×C22⋊C4×C73C23semidirect
425. C2×C42×C73C23semidirect
426. C2×C42×C73C23semidirect
651. C23×C73H(5,𝔽2)semidirect
699. D4×C73H(5,𝔽2)semidirect
787. #62892C73direct (N × H)
799. #3558C2×C73semidirect
800. #3543C2×C73semidirect
801. #3542C2×C73semidirect
802. #3537C2×C73semidirect
803. #3537C2×C73semidirect
804. #3534C2×C73semidirect
805. #3534C2×C73semidirect
806. #3532C2×C73semidirect
807. #3519C2×C73semidirect
808. #3513C2×C73semidirect
809. #3505C2×C73semidirect
810. #3496C2×C73semidirect
811. #3490C2×C73semidirect
812. #3488C2×C73semidirect
813. #3484C2×C73semidirect
814. #3484C2×C73semidirect
815. C2×#546C2×C73semidirect
816. C2×D42C2×C73semidirect
817. #3459C2×C73semidirect
818. C2×#534C2×C73semidirect
819. C73#62892direct (N × H)
820. C2×H(5,𝔽2)C22×C73semidirect
821. C2×H(5,𝔽2)C22×C73semidirect
822. C22×#41C22×C73semidirect
823. C23×D4C22×C73semidirect
824. C23×D4C22×C73semidirect
825. C23×D4C22×C73semidirect
826. #562C22×C73semidirect
827. #562C22×C73semidirect
828. H(3,𝔽4)C22×C73semidirect
829. #560C22×C73semidirect
830. #560C22×C73semidirect
831. #560C22×C73semidirect
832. #560C22×C73semidirect
833. #559C22×C73semidirect
834. #555C22×C73semidirect
835. #554C22×C73semidirect
836. #553C22×C73semidirect
837. #553C22×C73semidirect
838. #553C22×C73semidirect
839. #553C22×C73semidirect
840. #553C22×C73semidirect
841. #552C22×C73semidirect
842. #551C22×C73semidirect
843. #551C22×C73semidirect
844. #551C22×C73semidirect
845. #551C22×C73semidirect
846. #550C22×C73semidirect
847. #550C22×C73semidirect
848. #548C22×C73semidirect
849. #547C22×C73semidirect
850. #546C22×C73semidirect
851. #546C22×C73semidirect
852. #546C22×C73semidirect
853. #546C22×C73semidirect
854. #546C22×C73semidirect
855. #546C22×C73semidirect
856. #546C22×C73semidirect
857. #546C22×C73semidirect
858. #546C22×C73semidirect
859. #546C22×C73semidirect
860. #546C22×C73semidirect
861. #546C22×C73semidirect
862. #546C22×C73semidirect
863. #546C22×C73semidirect
864. #546C22×C73semidirect
865. #546C22×C73semidirect
866. D42C22×C73semidirect
867. D42C22×C73semidirect
868. D42C22×C73semidirect
869. D42C22×C73semidirect
870. D42C22×C73semidirect
871. D42C22×C73semidirect
872. D42C22×C73semidirect
873. D42C22×C73semidirect
874. D42C22×C73semidirect
875. D42C22×C73semidirect
876. D42C22×C73semidirect
877. D42C22×C73semidirect
878. D42C22×C73semidirect
879. D42C22×C73semidirect
880. #543C22×C73semidirect
881. #542C22×C73semidirect
882. #540C22×C73semidirect
883. #540C22×C73semidirect
884. #540C22×C73semidirect
885. #540C22×C73semidirect
886. #539C22×C73semidirect
887. #539C22×C73semidirect
888. #539C22×C73semidirect
889. #539C22×C73semidirect
890. #538C22×C73semidirect
891. #538C22×C73semidirect
892. #538C22×C73semidirect
893. #538C22×C73semidirect
894. #538C22×C73semidirect
895. #538C22×C73semidirect
896. #538C22×C73semidirect
897. #538C22×C73semidirect
898. #538C22×C73semidirect
899. #538C22×C73semidirect
900. #537C22×C73semidirect
901. #537C22×C73semidirect
902. #537C22×C73semidirect
903. #535C22×C73semidirect
904. #535C22×C73semidirect
905. #535C22×C73semidirect
906. #535C22×C73semidirect
907. #535C22×C73semidirect
908. #535C22×C73semidirect
909. #534C22×C73semidirect
910. #534C22×C73semidirect
911. #534C22×C73semidirect
912. #534C22×C73semidirect
913. #534C22×C73semidirect
914. #534C22×C73semidirect
915. #534C22×C73semidirect
916. #534C22×C73semidirect
917. #534C22×C73semidirect
918. #534C22×C73semidirect
919. #534C22×C73semidirect
920. #534C22×C73semidirect
921. #534C22×C73semidirect
922. #532C22×C73semidirect
923. C2×#127C22×C73semidirect
924. #529C22×C73semidirect
925. #529C22×C73semidirect
926. #529C22×C73semidirect
927. C2×#124C22×C73semidirect
928. #525C22×C73semidirect
929. #525C22×C73semidirect
930. #525C22×C73semidirect
931. #525C22×C73semidirect
932. #525C22×C73semidirect
933. #525C22×C73semidirect
934. C2×#123C22×C73semidirect
935. C2×#123C22×C73semidirect
936. C2×C22⋊Q8C22×C73semidirect
937. C2×#121C22×C73semidirect
938. C2×#121C22×C73semidirect
939. C2×#121C22×C73semidirect
940. C2×#121C22×C73semidirect
941. C2×#121C22×C73semidirect
942. C2×#121C22×C73semidirect
943. C2×#121C22×C73semidirect
944. C2×#121C22×C73semidirect
945. C2×#120C22×C73semidirect
946. C2×#120C22×C73semidirect
947. C2×#120C22×C73semidirect
948. C2×#120C22×C73semidirect
949. C2×#120C22×C73semidirect
950. #520C22×C73semidirect
951. #518C22×C73semidirect
952. #518C22×C73semidirect
953. C2×C4×D4C22×C73semidirect
954. C2×C4×D4C22×C73semidirect
955. C2×C4×D4C22×C73semidirect
956. C2×C4×D4C22×C73semidirect
957. C22×C22⋊C4C22×C73semidirect
959. C25C23×C73semidirect
964. C2×#41C23×C73semidirect
965. C2×#41C23×C73semidirect
966. C2×#41C23×C73semidirect
967. C2×#41C23×C73semidirect
968. C2×#41C23×C73semidirect
969. C2×#41C23×C73semidirect
970. C2×#41C23×C73semidirect
971. C2×#41C23×C73semidirect
972. C22×Q8C23×C73semidirect
988. C22×D4C23×C73semidirect
989. C22×D4C23×C73semidirect
990. C22×D4C23×C73semidirect
991. C22×D4C23×C73semidirect
992. C22×D4C23×C73semidirect
993. C22×D4C23×C73semidirect
994. C22×D4C23×C73semidirect
995. C22×D4C23×C73semidirect
996. C22×D4C23×C73semidirect
997. C22×D4C23×C73semidirect
998. C22×D4C23×C73semidirect
999. C22×D4C23×C73semidirect
1000. C22×D4C23×C73semidirect
1001. C22×D4C23×C73semidirect
1002. C22×D4C23×C73semidirect
1003. C22×D4C23×C73semidirect
1004. C22×D4C23×C73semidirect
1005. C22×D4C23×C73semidirect
1007. C23×C4C23×C73semidirect
1008. C23×C4C23×C73semidirect
1009. C23×C4C23×C73semidirect
1010. C23×C4C23×C73semidirect
1011. C23×C4C23×C73semidirect
1012. C4⋊Q8C23×C73semidirect
1014. #127C23×C73semidirect
1015. #127C23×C73semidirect
1016. #127C23×C73semidirect
1017. #127C23×C73semidirect
1018. #127C23×C73semidirect
1019. #126C23×C73semidirect
1020. #126C23×C73semidirect
1021. #126C23×C73semidirect
1022. #126C23×C73semidirect
1023. #126C23×C73semidirect
1024. #126C23×C73semidirect
1025. #126C23×C73semidirect
1026. #126C23×C73semidirect
1027. #125C23×C73semidirect
1028. #125C23×C73semidirect
1029. #125C23×C73semidirect
1030. #125C23×C73semidirect
1031. #124C23×C73semidirect
1032. #124C23×C73semidirect
1033. #124C23×C73semidirect
1034. #124C23×C73semidirect
1035. #124C23×C73semidirect
1036. #124C23×C73semidirect
1037. #124C23×C73semidirect
1038. #124C23×C73semidirect
1039. #124C23×C73semidirect
1040. #124C23×C73semidirect
1041. #124C23×C73semidirect
1044. #123C23×C73semidirect
1045. #123C23×C73semidirect
1046. #123C23×C73semidirect
1047. #123C23×C73semidirect
1048. #123C23×C73semidirect
1049. #123C23×C73semidirect
1050. #123C23×C73semidirect
1051. #123C23×C73semidirect
1052. #123C23×C73semidirect
1053. #123C23×C73semidirect
1054. #123C23×C73semidirect
1055. #123C23×C73semidirect
1056. #123C23×C73semidirect
1057. #123C23×C73semidirect
1058. #123C23×C73semidirect
1059. #123C23×C73semidirect
1060. #123C23×C73semidirect
1061. #123C23×C73semidirect
1062. #123C23×C73semidirect
1063. #123C23×C73semidirect
1064. #123C23×C73semidirect
1065. #123C23×C73semidirect
1066. #123C23×C73semidirect
1067. C22⋊Q8C23×C73semidirect
1068. C22⋊Q8C23×C73semidirect
1069. C22⋊Q8C23×C73semidirect
1070. C22⋊Q8C23×C73semidirect
1071. C22⋊Q8C23×C73semidirect
1072. C22⋊Q8C23×C73semidirect
1073. C22⋊Q8C23×C73semidirect
1074. C22⋊Q8C23×C73semidirect
1075. C22⋊Q8C23×C73semidirect
1076. C22⋊Q8C23×C73semidirect
1077. C22⋊Q8C23×C73semidirect
1078. C22⋊Q8C23×C73semidirect
1079. C22⋊Q8C23×C73semidirect
1080. C22⋊Q8C23×C73semidirect
1081. C22⋊Q8C23×C73semidirect
1090. #121C23×C73semidirect
1091. #121C23×C73semidirect
1092. #121C23×C73semidirect
1093. #121C23×C73semidirect
1094. #121C23×C73semidirect
1095. #121C23×C73semidirect
1096. #121C23×C73semidirect
1097. #121C23×C73semidirect
1098. #121C23×C73semidirect
1099. #121C23×C73semidirect
1100. #121C23×C73semidirect
1101. #121C23×C73semidirect
1102. #121C23×C73semidirect
1103. #121C23×C73semidirect
1104. #121C23×C73semidirect
1105. #121C23×C73semidirect
1106. #121C23×C73semidirect
1107. #121C23×C73semidirect
1108. #121C23×C73semidirect
1109. #121C23×C73semidirect
1110. #121C23×C73semidirect
1111. #121C23×C73semidirect
1112. #121C23×C73semidirect
1113. #121C23×C73semidirect
1114. #121C23×C73semidirect
1115. #121C23×C73semidirect
1116. #121C23×C73semidirect
1117. #121C23×C73semidirect
1118. #121C23×C73semidirect
1119. #121C23×C73semidirect
1120. #121C23×C73semidirect
1121. #121C23×C73semidirect
1122. #121C23×C73semidirect
1123. #121C23×C73semidirect
1124. #121C23×C73semidirect
1125. #121C23×C73semidirect
1126. #121C23×C73semidirect
1127. #121C23×C73semidirect
1128. #121C23×C73semidirect
1129. #121C23×C73semidirect
1130. #121C23×C73semidirect
1131. #121C23×C73semidirect
1137. #120C23×C73semidirect
1138. #120C23×C73semidirect
1139. #120C23×C73semidirect
1140. #120C23×C73semidirect
1141. #120C23×C73semidirect
1142. #120C23×C73semidirect
1143. #120C23×C73semidirect
1144. #120C23×C73semidirect
1145. #120C23×C73semidirect
1146. #120C23×C73semidirect
1147. #120C23×C73semidirect
1148. #120C23×C73semidirect
1149. #120C23×C73semidirect
1150. #120C23×C73semidirect
1151. #120C23×C73semidirect
1152. #120C23×C73semidirect
1153. #120C23×C73semidirect
1154. #120C23×C73semidirect
1155. #120C23×C73semidirect
1156. #120C23×C73semidirect
1157. #120C23×C73semidirect
1158. #120C23×C73semidirect
1159. C4×Q8C23×C73semidirect
1160. C4×Q8C23×C73semidirect
1165. C4×D4C23×C73semidirect
1166. C4×D4C23×C73semidirect
1167. C4×D4C23×C73semidirect
1168. C4×D4C23×C73semidirect
1169. C4×D4C23×C73semidirect
1170. C4×D4C23×C73semidirect
1171. C4×D4C23×C73semidirect
1172. C4×D4C23×C73semidirect
1173. C4×D4C23×C73semidirect
1174. C4×D4C23×C73semidirect
1175. C4×D4C23×C73semidirect
1176. C4×D4C23×C73semidirect
1177. C4×D4C23×C73semidirect
1178. C4×D4C23×C73semidirect
1179. C4×D4C23×C73semidirect
1180. C4×D4C23×C73semidirect
1181. C4×D4C23×C73semidirect
1182. C4×D4C23×C73semidirect
1183. C4×D4C23×C73semidirect
1184. C4×D4C23×C73semidirect
1185. C4×D4C23×C73semidirect
1186. C4×D4C23×C73semidirect
1187. C4×D4C23×C73semidirect
1188. C4×D4C23×C73semidirect
1189. #117C23×C73semidirect
1190. #117C23×C73semidirect
1191. #117C23×C73semidirect
1192. #117C23×C73semidirect
1193. #117C23×C73semidirect
1194. #117C23×C73semidirect
1195. #117C23×C73semidirect
1196. C2×C4⋊C4C23×C73semidirect
1197. C2×C4⋊C4C23×C73semidirect
1198. C2×C4⋊C4C23×C73semidirect
1199. C2×C4⋊C4C23×C73semidirect
1200. C2×C4⋊C4C23×C73semidirect
1201. C2×C4⋊C4C23×C73semidirect
1202. C2×C4⋊C4C23×C73semidirect
1203. C2×C4⋊C4C23×C73semidirect
1207. C2×C22⋊C4C23×C73semidirect
1208. C2×C22⋊C4C23×C73semidirect
1209. C2×C22⋊C4C23×C73semidirect
1210. C2×C22⋊C4C23×C73semidirect
1211. C2×C22⋊C4C23×C73semidirect
1212. C2×C22⋊C4C23×C73semidirect
1213. C2×C22⋊C4C23×C73semidirect
1214. C2×C22⋊C4C23×C73semidirect
1215. C2×C22⋊C4C23×C73semidirect
1216. C2×C22⋊C4C23×C73semidirect
1217. C2×C22⋊C4C23×C73semidirect
1218. C2×C22⋊C4C23×C73semidirect
1219. C2×C22⋊C4C23×C73semidirect
1220. C2×C22⋊C4C23×C73semidirect
1221. C2×C22⋊C4C23×C73semidirect
1222. C2×C22⋊C4C23×C73semidirect
1223. C2×C22⋊C4C23×C73semidirect
1224. C2×C42C23×C73semidirect
1225. C2×C42C23×C73semidirect
1450. C23H(5,𝔽2)×C73semidirect
1498. D4H(5,𝔽2)×C73semidirect

Maximal subgroups

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

subgroupindex
C73×#35582
C73×#35432
C73×#35422
C73×#35372
C73×#35342
C73×#35322
C73×#35192
C73×#35132
C73×#35052
C73×#34962
C73×#34902
C73×#34882
C73×#34842
C2×#546×C732
C2×D42×C732
C73×#34592
C2×#534×C732
#6289273