Finite Group Databasebeta

← C43×#62892 #24982909

Subgroups — C43×#62892 #24982909

Order 11008.

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
1C43×#3558C212yesmaximal, complemented
2C43×#3543C214yesmaximal, complemented
3C43×#3542C214yesmaximal, complemented
4C43×#3537C214yesmaximal, complemented
5C43×#3537C212yesmaximal, complemented
6C43×#3534C218yesmaximal, complemented
7C43×#3534C214yesmaximal, complemented
8C43×#3532C218yesmaximal, complemented
9C43×#3519C212yesmaximal, complemented
10C43×#3513C214yesmaximal, complemented
11C43×#3505C212yesmaximal, complemented
12C43×#3496C211yesmaximal, characteristic, complemented
13C43×#3490C212yesmaximal, complemented
14C43×#3488C212yesmaximal, complemented
15C43×#3484C214yesmaximal, complemented
16C43×#3484C214yesmaximal, complemented
17C2×C43×#546C211yesmaximal, characteristic, complemented
18C2×D42×C43C212yesmaximal, complemented
19C43×#3459C211yesmaximal, characteristic, complemented
20C2×C43×#534C212yesmaximal, complemented
21C2×H(5,𝔽2)×C43C2212yescomplemented
22C2×H(5,𝔽2)×C43C2212yescomplemented
23C22×#41×C43C2211yescharacteristic, complemented
24C23×D4×C43C2211yescharacteristic, complemented
25C23×D4×C43C2214yescomplemented
26C23×D4×C43C2212yescomplemented
27C43×#562C2218yescomplemented
28C43×#562C2214yescomplemented
29C43×H(3,𝔽4)C2214yescomplemented
30C43×#560C2218yescomplemented
31C43×#560C2218yescomplemented
32C43×#560C2218yescomplemented
33C43×#560C2218yescomplemented
34C43×#559C2214yescomplemented
35C43×#555C2212yescomplemented
36C43×#554C2212yescomplemented
37C43×#553C2218yescomplemented
38C43×#553C2214yescomplemented
39C43×#553C2214yescomplemented
40C43×#553C2218yescomplemented
41C43×#553C2214yescomplemented
42C43×#552C2214yescomplemented
43C43×#551C2218yescomplemented
44C43×#551C2218yescomplemented
45C43×#551C2218yescomplemented
46C43×#551C2218yescomplemented
47C43×#550C2214yescomplemented
48C43×#550C2212yescomplemented
49C43×#548C2214yescomplemented
50C43×#547C2214yescomplemented
51C43×#546C2214yescomplemented
52C43×#546C2214yescomplemented
53C43×#546C2214yescomplemented
54C43×#546C2218yescomplemented
55C43×#546C2218yescomplemented
56C43×#546C2218yescomplemented
57C43×#546C2218yescomplemented
58C43×#546C2218yescomplemented
59C43×#546C2214yescomplemented
60C43×#546C2218yescomplemented
61C43×#546C2218yescomplemented
62C43×#546C2214yescomplemented
63C43×#546C2218yescomplemented
64C43×#546C2218yescomplemented
65C43×#546C2218yescomplemented
66C43×#546C2214yescomplemented
67D42×C43C2214yescomplemented
68D42×C43C2218yescomplemented
69D42×C43C2214yescomplemented
70D42×C43C2214yescomplemented
71D42×C43C2212yescomplemented
72D42×C43C2218yescomplemented
73D42×C43C2218yescomplemented
74D42×C43C2218yescomplemented
75D42×C43C2218yescomplemented
76D42×C43C2214yescomplemented
77D42×C43C2214yescomplemented
78D42×C43C2214yescomplemented
79D42×C43C2218yescomplemented
80D42×C43C2218yescomplemented
81C43×#543C2211yescharacteristic, complemented
82C43×#542C2214yescomplemented
83C43×#540C2214yescomplemented
84C43×#540C2214yescomplemented
85C43×#540C2218yescomplemented
86C43×#540C2218yescomplemented
87C43×#539C2214yescomplemented
88C43×#539C2212yescomplemented
89C43×#539C2214yescomplemented
90C43×#539C2218yescomplemented
91C43×#538C2214yescomplemented
92C43×#538C2218yescomplemented
93C43×#538C2212yescomplemented
94C43×#538C2214yescomplemented
95C43×#538C2214yescomplemented
96C43×#538C2214yescomplemented
97C43×#538C2218yescomplemented
98C43×#538C2218yescomplemented
99C43×#538C2218yescomplemented
100C43×#538C2214yescomplemented
101C43×#537C2214yescomplemented
102C43×#537C2212yescomplemented
103C43×#537C2212yescomplemented
104C43×#535C2218yescomplemented
105C43×#535C2214yescomplemented
106C43×#535C2214yescomplemented
107C43×#535C2214yescomplemented
108C43×#535C2212yescomplemented
109C43×#535C2218yescomplemented
110C43×#534C2211yescharacteristic, complemented
111C43×#534C2214yescomplemented
112C43×#534C2212yescomplemented
113C43×#534C2212yescomplemented
114C43×#534C2218yescomplemented
115C43×#534C2218yescomplemented
116C43×#534C2218yescomplemented
117C43×#534C2218yescomplemented
118C43×#534C2214yescomplemented
119C43×#534C2214yescomplemented
120C43×#534C2218yescomplemented
121C43×#534C2212yescomplemented
122C43×#534C2214yescomplemented
123C43×#532C2212yescomplemented
124C2×#127×C43C2212yescomplemented
125C43×#529C2214yescomplemented
126C43×#529C2212yescomplemented
127C43×#529C2214yescomplemented
128C2×#124×C43C2211yescharacteristic, complemented
129C43×#525C2214yescomplemented
130C43×#525C2218yescomplemented
131C43×#525C2212yescomplemented
132C43×#525C2214yescomplemented
133C43×#525C2214yescomplemented
134C43×#525C2214yescomplemented
135C2×#123×C43C2218yescomplemented
136C2×#123×C43C2212yescomplemented
137C2×C22⋊Q8×C43C2211yescharacteristic, complemented
138C2×#121×C43C2212yescomplemented
139C2×#121×C43C2214yescomplemented
140C2×#121×C43C2212yescomplemented
141C2×#121×C43C2214yescomplemented
142C2×#121×C43C2214yescomplemented
143C2×#121×C43C2211yescharacteristic, complemented
144C2×#121×C43C2212yescomplemented
145C2×#121×C43C2212yescomplemented
146C2×#120×C43C2214yescomplemented
147C2×#120×C43C2212yescomplemented
148C2×#120×C43C2218yescomplemented
149C2×#120×C43C2214yescomplemented
150C2×#120×C43C2218yescomplemented
151C43×#520C2212yescomplemented
152C43×#518C2214yescomplemented
153C43×#518C2214yescomplemented
154C2×C4×D4×C43C2212yescomplemented
155C2×C4×D4×C43C2211yescharacteristic, complemented
156C2×C4×D4×C43C2212yescomplemented
157C2×C4×D4×C43C2211yescharacteristic, complemented
158C22×C22⋊C4×C43C2212yescomplemented
159C25×C43C2312yes—
160C25×C43C2314yescomplemented
161H(5,𝔽2)×C43—48no—
162H(5,𝔽2)×C43—48no—
163C2×#41×C43—44no—
164C2×#41×C43C2312yes—
165C2×#41×C43C2312yescomplemented
166C2×#41×C43C2318yescomplemented
167C2×#41×C43C2314yescomplemented
168C2×#41×C43C2314yescomplemented
169C2×#41×C43C2314yescomplemented
170C2×#41×C43C2314yescomplemented
171C2×#41×C43C2312yescomplemented
172C2×#41×C43C2314yescomplemented
173C22×Q8×C43C2311yescharacteristic, complemented
174C22×D4×C43—44no—
175C22×D4×C43—48no—
176C22×D4×C43—416no—
177C22×D4×C43C2311yescharacteristic
178C22×D4×C43C2312yes—
179C22×D4×C43C2311yescharacteristic
180C22×D4×C43C2312yes—
181C22×D4×C43C2314yes—
182C22×D4×C43C2314yes—
183C22×D4×C43C2314yes—
184C22×D4×C43C2318yes—
185C22×D4×C43C2312yes—
186C22×D4×C43C2311yescharacteristic
187C22×D4×C43C2312yes—
188C22×D4×C43C2318yes—
189C22×D4×C43C2314yescomplemented
190C22×D4×C43C2314yescomplemented
191C22×D4×C43C2312yescomplemented
192C22×D4×C43C2314yescomplemented
193C22×D4×C43C2318yescomplemented
194C22×D4×C43C2318yescomplemented
195C22×D4×C43C2318yescomplemented
196C22×D4×C43C2314yescomplemented
197C22×D4×C43C2312yescomplemented
198C22×D4×C43C2314yescomplemented
199C22×D4×C43C2312yescomplemented
200C22×D4×C43C2318yescomplemented
201C22×D4×C43C2318yescomplemented
202C22×D4×C43C2314yescomplemented
203C22×D4×C43C2314yescomplemented
204C22×D4×C43C2314yescomplemented
205C22×D4×C43C2312yescomplemented
206C22×D4×C43C2318yescomplemented
207C23×C4×C43C2311yescharacteristic
208C23×C4×C43C2312yescomplemented
209C23×C4×C43C2311yescharacteristic, complemented
210C23×C4×C43C2314yescomplemented
211C23×C4×C43C2312yescomplemented
212C23×C4×C43C2312yescomplemented
213C4⋊Q8×C43C2312yescomplemented
214#127×C43C2314yes—
215#127×C43C2314yescomplemented
216#127×C43C2318yescomplemented
217#127×C43C2312yescomplemented
218#127×C43C2318yescomplemented
219#127×C43C2318yescomplemented
220#126×C43C2314yescomplemented
221#126×C43C2314yescomplemented
222#126×C43C2318yescomplemented
223#126×C43C2314yescomplemented
224#126×C43C2318yescomplemented
225#126×C43C2318yescomplemented
226#126×C43C2318yescomplemented
227#126×C43C2318yescomplemented
228#125×C43C2314yescomplemented
229#125×C43C2312yescomplemented
230#125×C43C2314yescomplemented
231#125×C43C2318yescomplemented
232#124×C43C2314yescomplemented
233#124×C43C2314yescomplemented
234#124×C43C2314yescomplemented
235#124×C43C2314yescomplemented
236#124×C43C2312yescomplemented
237#124×C43C2314yescomplemented
238#124×C43C2318yescomplemented
239#124×C43C2318yescomplemented
240#124×C43C2318yescomplemented
241#124×C43C2318yescomplemented
242#124×C43C2318yescomplemented
243#123×C43C2314yes—
244#123×C43C2318yes—
245#123×C43C2318yescomplemented
246#123×C43C2318yescomplemented
247#123×C43C2318yescomplemented
248#123×C43C2318yescomplemented
249#123×C43C2318yescomplemented
250#123×C43C2318yescomplemented
251#123×C43C2318yescomplemented
252#123×C43C2318yescomplemented
253#123×C43C2314yescomplemented
254#123×C43C2314yescomplemented
255#123×C43C2314yescomplemented
256#123×C43C2318yescomplemented
257#123×C43C2318yescomplemented
258#123×C43C2314yescomplemented
259#123×C43C2318yescomplemented
260#123×C43C2314yescomplemented
261#123×C43C2318yescomplemented
262#123×C43C2318yescomplemented
263#123×C43C2318yescomplemented
264#123×C43C2318yescomplemented
265#123×C43C2318yescomplemented
266#123×C43C2318yescomplemented
267#123×C43C2318yescomplemented
268C22⋊Q8×C43C2314yescomplemented
269C22⋊Q8×C43C2314yescomplemented
270C22⋊Q8×C43C2312yescomplemented
271C22⋊Q8×C43C2312yescomplemented
272C22⋊Q8×C43C2312yescomplemented
273C22⋊Q8×C43C2314yescomplemented
274C22⋊Q8×C43C2314yescomplemented
275C22⋊Q8×C43C2314yescomplemented
276C22⋊Q8×C43C2318yescomplemented
277C22⋊Q8×C43C2314yescomplemented
278C22⋊Q8×C43C2318yescomplemented
279C22⋊Q8×C43C2314yescomplemented
280C22⋊Q8×C43C2314yescomplemented
281C22⋊Q8×C43C2318yescomplemented
282C22⋊Q8×C43C2318yescomplemented
283#121×C43C2312yes—
284#121×C43C2312yes—
285#121×C43C2314yes—
286#121×C43C2318yes—
287#121×C43C2314yes—
288#121×C43C2314yes—
289#121×C43C2314yes—
290#121×C43C2314yes—
291#121×C43C2314yescomplemented
292#121×C43C2314yescomplemented
293#121×C43C2314yescomplemented
294#121×C43C2314yescomplemented
295#121×C43C2314yescomplemented
296#121×C43C2318yescomplemented
297#121×C43C2318yescomplemented
298#121×C43C2318yescomplemented
299#121×C43C2318yescomplemented
300#121×C43C2314yescomplemented
301#121×C43C2314yescomplemented
302#121×C43C2314yescomplemented
303#121×C43C2318yescomplemented
304#121×C43C2314yescomplemented
305#121×C43C2314yescomplemented
306#121×C43C2314yescomplemented
307#121×C43C2314yescomplemented
308#121×C43C2318yescomplemented
309#121×C43C2318yescomplemented
310#121×C43C2314yescomplemented
311#121×C43C2318yescomplemented
312#121×C43C2318yescomplemented
313#121×C43C2318yescomplemented
314#121×C43C2312yescomplemented
315#121×C43C2314yescomplemented
316#121×C43C2318yescomplemented
317#121×C43C2314yescomplemented
318#121×C43C2314yescomplemented
319#121×C43C2314yescomplemented
320#121×C43C2318yescomplemented
321#121×C43C2318yescomplemented
322#121×C43C2318yescomplemented
323#121×C43C2318yescomplemented
324#121×C43C2318yescomplemented
325#121×C43C2318yescomplemented
326#121×C43C2318yescomplemented
327#121×C43C2318yescomplemented
328#121×C43C2318yescomplemented
329#121×C43C2318yescomplemented
330#121×C43C2318yescomplemented
331#121×C43C2318yescomplemented
332#121×C43C2318yescomplemented
333#120×C43C2314yes—
334#120×C43C2318yes—
335#120×C43C2318yes—
336#120×C43C2318yes—
337#120×C43C2318yes—
338#120×C43C2318yescomplemented
339#120×C43C2314yescomplemented
340#120×C43C2318yescomplemented
341#120×C43C2318yescomplemented
342#120×C43C2318yescomplemented
343#120×C43C2318yescomplemented
344#120×C43C2318yescomplemented
345#120×C43C2318yescomplemented
346#120×C43C2318yescomplemented
347#120×C43C2318yescomplemented
348#120×C43C2318yescomplemented
349#120×C43C2318yescomplemented
350#120×C43C2318yescomplemented
351#120×C43C2318yescomplemented
352#120×C43C2318yescomplemented
353#120×C43C2318yescomplemented
354#120×C43C2318yescomplemented
355#120×C43C2318yescomplemented
356#120×C43C2314yescomplemented
357#120×C43C2318yescomplemented
358#120×C43C2318yescomplemented
359#120×C43C2318yescomplemented
360C4×Q8×C43C2314yescomplemented
361C4×Q8×C43C2312yescomplemented
362C4×D4×C43C2312yes—
363C4×D4×C43C2314yes—
364C4×D4×C43C2314yes—
365C4×D4×C43C2314yes—
366C4×D4×C43C2314yescomplemented
367C4×D4×C43C2314yescomplemented
368C4×D4×C43C2314yescomplemented
369C4×D4×C43C2318yescomplemented
370C4×D4×C43C2314yescomplemented
371C4×D4×C43C2314yescomplemented
372C4×D4×C43C2312yescomplemented
373C4×D4×C43C2314yescomplemented
374C4×D4×C43C2318yescomplemented
375C4×D4×C43C2318yescomplemented
376C4×D4×C43C2318yescomplemented
377C4×D4×C43C2318yescomplemented
378C4×D4×C43C2318yescomplemented
379C4×D4×C43C2318yescomplemented
380C4×D4×C43C2314yescomplemented
381C4×D4×C43C2314yescomplemented
382C4×D4×C43C2318yescomplemented
383C4×D4×C43C2312yescomplemented
384C4×D4×C43C2314yescomplemented
385C4×D4×C43C2318yescomplemented
386C4×D4×C43C2318yescomplemented
387C4×D4×C43C2318yescomplemented
388C4×D4×C43C2318yescomplemented
389C4×D4×C43C2314yescomplemented
390#117×C43C2314yescomplemented
391#117×C43C2318yescomplemented
392#117×C43C2314yescomplemented
393#117×C43C2312yescomplemented
394#117×C43C2314yescomplemented
395#117×C43C2314yescomplemented
396#117×C43C2318yescomplemented
397C2×C4⋊C4×C43C2312yescomplemented
398C2×C4⋊C4×C43C2312yescomplemented
399C2×C4⋊C4×C43C2311yescharacteristic, complemented
400C2×C4⋊C4×C43C2311yescharacteristic, complemented
401C2×C4⋊C4×C43C2314yescomplemented
402C2×C4⋊C4×C43C2312yescomplemented
403C2×C4⋊C4×C43C2312yescomplemented
404C2×C4⋊C4×C43C2314yescomplemented
405C2×C22⋊C4×C43C2311yescharacteristic
406C2×C22⋊C4×C43C2312yes—
407C2×C22⋊C4×C43C2312yes—
408C2×C22⋊C4×C43C2318yescomplemented
409C2×C22⋊C4×C43C2312yescomplemented
410C2×C22⋊C4×C43C2312yescomplemented
411C2×C22⋊C4×C43C2318yescomplemented
412C2×C22⋊C4×C43C2312yescomplemented
413C2×C22⋊C4×C43C2314yescomplemented
414C2×C22⋊C4×C43C2312yescomplemented
415C2×C22⋊C4×C43C2311yescharacteristic, complemented
416C2×C22⋊C4×C43C2318yescomplemented
417C2×C22⋊C4×C43C2318yescomplemented
418C2×C22⋊C4×C43C2318yescomplemented
419C2×C22⋊C4×C43C2314yescomplemented
420C2×C22⋊C4×C43C2314yescomplemented
421C2×C22⋊C4×C43C2318yescomplemented
422C2×C22⋊C4×C43C2312yescomplemented
423C2×C22⋊C4×C43C2318yescomplemented
424C2×C22⋊C4×C43C2314yescomplemented
425C2×C42×C43C2311yescharacteristic, complemented
426C2×C42×C43C2312yescomplemented
427C24×C43—28no—
428C24×C43—44no—
429C24×C43—48no—
430C24×C43—48no—
431C24×C43—82no—
432C24×C43—84no—
433C24×C43C2414yes—
434C24×C43C2412yes—
435C24×C43C2414yes—
436C24×C43C2414yes—
437C24×C43C2418yes—
438C24×C43C2412yes—
439C24×C43C2412yes—
440C24×C43C2411yescharacteristic
441C24×C43C2418yes—
442C24×C43C2414yes—
443C24×C43C2411yescharacteristic
444#41×C43—28no—
445#41×C43—44no—
446#41×C43—48no—
447#41×C43—416no—
448#41×C43—48no—
449#41×C43—48no—
450#41×C43—44no—
451#41×C43—48no—
452#41×C43—84no—
453C2×Q8×C43—42no—
454C2×Q8×C43C2412yes—
455C2×Q8×C43C2412yes—
456C2×Q8×C43C2412yes—
457C2×Q8×C43C2412yes—
458C2×Q8×C43C2414yes—
459C2×D4×C43—28no—
460C2×D4×C43—24no—
461C2×D4×C43—216no—
462C2×D4×C43—28no—
463C2×D4×C43—216no—
464C2×D4×C43—24no—
465C2×D4×C43—48no—
466C2×D4×C43—48no—
467C2×D4×C43—48no—
468C2×D4×C43—44no—
469C2×D4×C43—416no—
470C2×D4×C43—48no—
471C2×D4×C43—416no—
472C2×D4×C43—48no—
473C2×D4×C43—416no—
474C2×D4×C43—416no—
475C2×D4×C43—416no—
476C2×D4×C43—44no—
477C2×D4×C43—48no—
478C2×D4×C43—416no—
479C2×D4×C43—416no—
480C2×D4×C43—44no—
481C2×D4×C43—42no—
482C2×D4×C43—44no—
483C2×D4×C43—48no—
484C2×D4×C43—44no—
485C2×D4×C43—82no—
486C2×D4×C43—84no—
487C2×D4×C43—84no—
488C2×D4×C43—88no—
489C2×D4×C43C2414yes—
490C2×D4×C43C2418yes—
491C2×D4×C43C2414yes—
492C2×D4×C43C2418yes—
493C2×D4×C43C2414yes—
494C2×D4×C43C2412yes—
495C2×D4×C43C2414yes—
496C2×D4×C43C2418yes—
497C2×D4×C43C2414yes—
498C2×D4×C43C2412yes—
499C2×D4×C43C2414yes—
500C2×D4×C43C2411yescharacteristic
501C2×D4×C43C2412yes—
502C2×D4×C43C2418yes—
503C2×D4×C43C2418yes—
504C2×D4×C43C2418yes—
505C2×D4×C43C2414yes—
506C2×D4×C43C2414yes—
507C2×D4×C43C2418yes—
508C2×D4×C43C2412yes—
509C2×D4×C43C2418yes—
510C2×D4×C43C2418yes—
511C2×D4×C43C2418yes—
512C2×D4×C43C2414yes—
513C2×D4×C43C2414yes—
514C2×D4×C43C2412yes—
515C2×D4×C43C2414yes—
516C2×D4×C43C2414yes—
517C2×D4×C43C2418yes—
518C2×D4×C43C2418yes—
519C2×D4×C43C2414yes—
520C2×D4×C43C2418yes—
521C2×D4×C43C2414yes—
522C2×D4×C43C2418yes—
523C2×D4×C43C2411yescharacteristic
524C22×C4×C43—48no—
525C22×C4×C43—44no—
526C22×C4×C43—42no—
527C22×C4×C43—44no—
528C22×C4×C43—42no—
529C22×C4×C43—82no—
530C22×C4×C43C2411yescharacteristic
531C22×C4×C43C2412yes—
532C22×C4×C43C2411yescharacteristic
533C22×C4×C43C2412yes—
534C22×C4×C43C2414yes—
535C22×C4×C43C2414yes—
536C22×C4×C43C2412yes—
537C22×C4×C43C2414yes—
538C22×C4×C43C2412yes—
539C22×C4×C43C2411yescharacteristic
540C22×C4×C43C2412yes—
541C22×C4×C43C2412yes—
542C22×C4×C43C2412yes—
543C22×C4×C43C2411yescharacteristic
544C22×C4×C43C2414yes—
545C22×C4×C43C2412yes—
546C22×C4×C43C2418yes—
547C22×C4×C43C2418yes—
548C22×C4×C43C2414yes—
549C22×C4×C43C2418yes—
550C22×C4×C43C2418yes—
551C22×C4×C43C2414yes—
552C22×C4×C43C2412yes—
553C22×C4×C43C2411yescharacteristic
554C22×C4×C43C2414yes—
555C22×C4×C43C2414yes—
556C22×C4×C43C2418yes—
557C4⋊C4×C43C2414yes—
558C4⋊C4×C43C2412yes—
559C4⋊C4×C43C2414yes—
560C4⋊C4×C43C2412yes—
561C4⋊C4×C43C2412yes—
562C4⋊C4×C43C2418yes—
563C4⋊C4×C43C2418yes—
564C4⋊C4×C43C2414yes—
565C4⋊C4×C43C2414yes—
566C4⋊C4×C43C2414yes—
567C4⋊C4×C43C2414yes—
568C4⋊C4×C43C2414yes—
569C4⋊C4×C43C2412yes—
570C4⋊C4×C43C2418yes—
571C4⋊C4×C43C2412yes—
572C4⋊C4×C43C2412yes—
573C4⋊C4×C43C2414yes—
574C4⋊C4×C43C2418yes—
575C4⋊C4×C43C2414yes—
576C4⋊C4×C43C2418yes—
577C4⋊C4×C43C2414yes—
578C4⋊C4×C43C2414yes—
579C22⋊C4×C43C2414yes—
580C22⋊C4×C43C2418yes—
581C22⋊C4×C43C2414yes—
582C22⋊C4×C43C2414yes—
583C22⋊C4×C43C2414yes—
584C22⋊C4×C43C2418yes—
585C22⋊C4×C43C2418yes—
586C22⋊C4×C43C2418yes—
587C22⋊C4×C43C2414yes—
588C22⋊C4×C43C2414yes—
589C22⋊C4×C43C2418yes—
590C22⋊C4×C43C2418yes—
591C22⋊C4×C43C2414yes—
592C22⋊C4×C43C2414yes—
593C22⋊C4×C43C2418yes—
594C22⋊C4×C43C2418yes—
595C22⋊C4×C43C2418yes—
596C22⋊C4×C43C2418yes—
597C22⋊C4×C43C2418yes—
598C22⋊C4×C43C2418yes—
599C22⋊C4×C43C2418yes—
600C22⋊C4×C43C2414yes—
601C22⋊C4×C43C2414yes—
602C22⋊C4×C43C2418yes—
603C22⋊C4×C43C2418yes—
604C22⋊C4×C43C2418yes—
605C22⋊C4×C43C2418yes—
606C22⋊C4×C43C2418yes—
607C22⋊C4×C43C2414yes—
608C22⋊C4×C43C2414yes—
609C22⋊C4×C43C2414yes—
610C22⋊C4×C43C2414yes—
611C42×C43C2414yes—
612C42×C43C2412yes—
613C42×C43C2414yes—
614C42×C43C2412yes—
615C42×C43C2418yes—
616C42×C43C2418yes—
617C23×C43—24no—
618C23×C43—28no—
619C23×C43—28no—
620C23×C43—24no—
621C23×C43—24no—
622C23×C43—22no—
623C23×C43—216no—
624C23×C43—28no—
625C23×C43—24no—
626C23×C43—28no—
627C23×C43—41no—
628C23×C43—42no—
629C23×C43—42no—
630C23×C43—41no—
631C23×C43—44no—
632C23×C43—42no—
633C23×C43—41no—
634C23×C43—48no—
635C23×C43—44no—
636C23×C43—44no—
637C23×C43—42no—
638C23×C43—48no—
639C23×C43—48no—
640C23×C43—41no—
641C23×C43—44no—
642C23×C43—44no—
643C23×C43—48no—
644C23×C43—42no—
645C23×C43—48no—
646C23×C43—44no—
647C23×C43—44no—
648C23×C43—44no—
649C23×C43—816no—
650C23×C43—832no—
651C23×C43H(5,𝔽2)14yescomplemented
652C23×C43C2514yes—
653C23×C43C2514yes—
654C23×C43C2518yes—
655C23×C43C2512yes—
656C23×C43C2512yes—
657C23×C43C2512yes—
658C23×C43C2512yes—
659C23×C43C2511yescharacteristic
660Q8×C43—24no—
661Q8×C43—42no—
662Q8×C43—42no—
663Q8×C43—44no—
664Q8×C43—42no—
665D4×C43—28no—
666D4×C43—28no—
667D4×C43—28no—
668D4×C43—216no—
669D4×C43—216no—
670D4×C43—216no—
671D4×C43—28no—
672D4×C43—24no—
673D4×C43—28no—
674D4×C43—24no—
675D4×C43—28no—
676D4×C43—22no—
677D4×C43—48no—
678D4×C43—48no—
679D4×C43—44no—
680D4×C43—44no—
681D4×C43—48no—
682D4×C43—48no—
683D4×C43—48no—
684D4×C43—42no—
685D4×C43—42no—
686D4×C43—44no—
687D4×C43—44no—
688D4×C43—48no—
689D4×C43—44no—
690D4×C43—48no—
691D4×C43—44no—
692D4×C43—48no—
693D4×C43—48no—
694D4×C43—42no—
695D4×C43—48no—
696D4×C43—44no—
697D4×C43—44no—
698D4×C43—48no—
699D4×C43H(5,𝔽2)14yescomplemented
700C2×C4×C43—24no—
701C2×C4×C43—28no—
702C2×C4×C43—28no—
703C2×C4×C43—22no—
704C2×C4×C43—24no—
705C2×C4×C43—22no—
706C2×C4×C43—28no—
707C2×C4×C43—24no—
708C2×C4×C43—41no—
709C2×C4×C43—41no—
710C2×C4×C43—48no—
711C2×C4×C43—48no—
712C2×C4×C43—44no—
713C2×C4×C43—42no—
714C2×C4×C43—42no—
715C2×C4×C43—42no—
716C2×C4×C43—42no—
717C2×C4×C43—44no—
718C2×C4×C43—41no—
719C2×C4×C43—42no—
720C2×C4×C43—44no—
721C2×C4×C43—44no—
722C2×C4×C43—44no—
723C2×C4×C43—48no—
724C2×C4×C43—48no—
725C2×C4×C43—42no—
726C2×C4×C43—48no—
727C2×C4×C43C2514yes—
728C2×C4×C43C2512yes—
729C2×C4×C43C2514yes—
730C2×C4×C43C2512yes—
731C2×C4×C43C2511yescharacteristic
732C2×C4×C43C2514yes—
733C2×C4×C43C2514yes—
734C2×C4×C43C2518yes—
735C2×C4×C43C2514yes—
736C2×C4×C43C2512yes—
737C2×C4×C43C2512yes—
738C2×C4×C43C2511yescharacteristic
739#62892C4311yesmaximal, characteristic, direct product factor, Sylow
740C22×C43—22no—
741C22×C43—22no—
742C22×C43—21no—
743C22×C43—22no—
744C22×C43—22no—
745C22×C43—21no—
746C22×C43—24no—
747C22×C43—22no—
748C22×C43—24no—
749C22×C43—24no—
750C22×C43—24no—
751C22×C43—28no—
752C22×C43—28no—
753C22×C43—22no—
754C22×C43—22no—
755C22×C43—22no—
756C22×C43—24no—
757C22×C43—24no—
758C22×C43—28no—
759C22×C43—22no—
760C22×C43—22no—
761C22×C43—44no—
762C22×C43—48no—
763C22×C43—416no—
764C22×C43—48no—
765C22×C43—82no—
766C22×C43—88no—
767C22×C43—88no—
768C22×C43—816no—
769C22×C43—84no—
770C22×C43—816no—
771C22×C43—164no—
772C22×C43C2×H(5,𝔽2)14yes—
773C22×C43C2×H(5,𝔽2)14yes—
774C22×C43C2×H(5,𝔽2)12yes—
775C22×C43C2611yescharacteristic
776C4×C43—22no—
777C4×C43—24no—
778C4×C43—22no—
779C4×C43—28no—
780C4×C43—24no—
781C4×C43—22no—
782C4×C43—21no—
783C4×C43—24no—
784C4×C43—24no—
785C4×C43—22no—
786C4×C43—24no—
787C4×C43C2×H(5,𝔽2)12yes—
788#3558C2×C4312yescomplemented
789#3543C2×C4314yescomplemented
790#3542C2×C4314yescomplemented
791#3537C2×C4314yescomplemented
792#3537C2×C4312yescomplemented
793#3534C2×C4318yescomplemented
794#3534C2×C4314yescomplemented
795#3532C2×C4318yescomplemented
796#3519C2×C4312yescomplemented
797#3513C2×C4314yescomplemented
798#3505C2×C4312yescomplemented
799#3496C2×C4311yescharacteristic, complemented
800#3490C2×C4312yescomplemented
801#3488C2×C4312yescomplemented
802#3484C2×C4314yescomplemented
803#3484C2×C4314yescomplemented
804C2×#546C2×C4311yescharacteristic, complemented
805C2×D42C2×C4312yescomplemented
806#3459C2×C4311yescharacteristic, complemented
807C2×#534C2×C4312yescomplemented
808C2×C43—24no—
809C2×C43—24no—
810C2×C43—22no—
811C2×C43—42no—
812C2×C43—44no—
813C2×C43—44no—
814C2×C43—48no—
815C2×C43—42no—
816C2×C43C22×H(5,𝔽2)11yescharacteristic
817C2×C43C22×H(5,𝔽2)11yescharacteristic
818C2×C43H(7,𝔽2)11yescharacteristic
819C2×H(5,𝔽2)C22×C4312yescomplemented
820C2×H(5,𝔽2)C22×C4312yescomplemented
821C22×#41C22×C4311yescharacteristic, complemented
822C23×D4C22×C4311yescharacteristic, complemented
823C23×D4C22×C4314yescomplemented
824C23×D4C22×C4312yescomplemented
825#562C22×C4318yescomplemented
826#562C22×C4314yescomplemented
827H(3,𝔽4)C22×C4314yescomplemented
828#560C22×C4318yescomplemented
829#560C22×C4318yescomplemented
830#560C22×C4318yescomplemented
831#560C22×C4318yescomplemented
832#559C22×C4314yescomplemented
833#555C22×C4312yescomplemented
834#554C22×C4312yescomplemented
835#553C22×C4318yescomplemented
836#553C22×C4314yescomplemented
837#553C22×C4314yescomplemented
838#553C22×C4318yescomplemented
839#553C22×C4314yescomplemented
840#552C22×C4314yescomplemented
841#551C22×C4318yescomplemented
842#551C22×C4318yescomplemented
843#551C22×C4318yescomplemented
844#551C22×C4318yescomplemented
845#550C22×C4314yescomplemented
846#550C22×C4312yescomplemented
847#548C22×C4314yescomplemented
848#547C22×C4314yescomplemented
849#546C22×C4314yescomplemented
850#546C22×C4314yescomplemented
851#546C22×C4314yescomplemented
852#546C22×C4318yescomplemented
853#546C22×C4318yescomplemented
854#546C22×C4318yescomplemented
855#546C22×C4318yescomplemented
856#546C22×C4318yescomplemented
857#546C22×C4314yescomplemented
858#546C22×C4318yescomplemented
859#546C22×C4318yescomplemented
860#546C22×C4314yescomplemented
861#546C22×C4318yescomplemented
862#546C22×C4318yescomplemented
863#546C22×C4318yescomplemented
864#546C22×C4314yescomplemented
865D42C22×C4314yescomplemented
866D42C22×C4318yescomplemented
867D42C22×C4314yescomplemented
868D42C22×C4314yescomplemented
869D42C22×C4312yescomplemented
870D42C22×C4318yescomplemented
871D42C22×C4318yescomplemented
872D42C22×C4318yescomplemented
873D42C22×C4318yescomplemented
874D42C22×C4314yescomplemented
875D42C22×C4314yescomplemented
876D42C22×C4314yescomplemented
877D42C22×C4318yescomplemented
878D42C22×C4318yescomplemented
879#543C22×C4311yescharacteristic, complemented
880#542C22×C4314yescomplemented
881#540C22×C4314yescomplemented
882#540C22×C4314yescomplemented
883#540C22×C4318yescomplemented
884#540C22×C4318yescomplemented
885#539C22×C4314yescomplemented
886#539C22×C4312yescomplemented
887#539C22×C4314yescomplemented
888#539C22×C4318yescomplemented
889#538C22×C4314yescomplemented
890#538C22×C4318yescomplemented
891#538C22×C4312yescomplemented
892#538C22×C4314yescomplemented
893#538C22×C4314yescomplemented
894#538C22×C4314yescomplemented
895#538C22×C4318yescomplemented
896#538C22×C4318yescomplemented
897#538C22×C4318yescomplemented
898#538C22×C4314yescomplemented
899#537C22×C4314yescomplemented
900#537C22×C4312yescomplemented
901#537C22×C4312yescomplemented
902#535C22×C4318yescomplemented
903#535C22×C4314yescomplemented
904#535C22×C4314yescomplemented
905#535C22×C4314yescomplemented
906#535C22×C4312yescomplemented
907#535C22×C4318yescomplemented
908#534C22×C4311yescharacteristic, complemented
909#534C22×C4314yescomplemented
910#534C22×C4312yescomplemented
911#534C22×C4312yescomplemented
912#534C22×C4318yescomplemented
913#534C22×C4318yescomplemented
914#534C22×C4318yescomplemented
915#534C22×C4318yescomplemented
916#534C22×C4314yescomplemented
917#534C22×C4314yescomplemented
918#534C22×C4318yescomplemented
919#534C22×C4312yescomplemented
920#534C22×C4314yescomplemented
921#532C22×C4312yescomplemented
922C2×#127C22×C4312yescomplemented
923#529C22×C4314yescomplemented
924#529C22×C4312yescomplemented
925#529C22×C4314yescomplemented
926C2×#124C22×C4311yescharacteristic, complemented
927#525C22×C4314yescomplemented
928#525C22×C4318yescomplemented
929#525C22×C4312yescomplemented
930#525C22×C4314yescomplemented
931#525C22×C4314yescomplemented
932#525C22×C4314yescomplemented
933C2×#123C22×C4318yescomplemented
934C2×#123C22×C4312yescomplemented
935C2×C22⋊Q8C22×C4311yescharacteristic, complemented
936C2×#121C22×C4312yescomplemented
937C2×#121C22×C4314yescomplemented
938C2×#121C22×C4312yescomplemented
939C2×#121C22×C4314yescomplemented
940C2×#121C22×C4314yescomplemented
941C2×#121C22×C4311yescharacteristic, complemented
942C2×#121C22×C4312yescomplemented
943C2×#121C22×C4312yescomplemented
944C2×#120C22×C4314yescomplemented
945C2×#120C22×C4312yescomplemented
946C2×#120C22×C4318yescomplemented
947C2×#120C22×C4314yescomplemented
948C2×#120C22×C4318yescomplemented
949#520C22×C4312yescomplemented
950#518C22×C4314yescomplemented
951#518C22×C4314yescomplemented
952C2×C4×D4C22×C4312yescomplemented
953C2×C4×D4C22×C4311yescharacteristic, complemented
954C2×C4×D4C22×C4312yescomplemented
955C2×C4×D4C22×C4311yescharacteristic, complemented
956C22×C22⋊C4C22×C4312yescomplemented
957C43#6289211yescharacteristic, direct product factor, Sylow
958C25C23×C4312yes—
959C25C23×C4314yescomplemented
960H(5,𝔽2)—48no—
961H(5,𝔽2)—48no—
962C2×#41—44no—
963C2×#41C23×C4312yes—
964C2×#41C23×C4312yescomplemented
965C2×#41C23×C4318yescomplemented
966C2×#41C23×C4314yescomplemented
967C2×#41C23×C4314yescomplemented
968C2×#41C23×C4314yescomplemented
969C2×#41C23×C4314yescomplemented
970C2×#41C23×C4312yescomplemented
971C2×#41C23×C4314yescomplemented
972C22×Q8C23×C4311yescharacteristic, complemented
973C22×D4—44no—
974C22×D4—48no—
975C22×D4—416no—
976C22×D4C23×C4311yescharacteristic
977C22×D4C23×C4312yes—
978C22×D4C23×C4311yescharacteristic
979C22×D4C23×C4312yes—
980C22×D4C23×C4314yes—
981C22×D4C23×C4314yes—
982C22×D4C23×C4314yes—
983C22×D4C23×C4318yes—
984C22×D4C23×C4312yes—
985C22×D4C23×C4311yescharacteristic
986C22×D4C23×C4312yes—
987C22×D4C23×C4318yes—
988C22×D4C23×C4314yescomplemented
989C22×D4C23×C4314yescomplemented
990C22×D4C23×C4312yescomplemented
991C22×D4C23×C4314yescomplemented
992C22×D4C23×C4318yescomplemented
993C22×D4C23×C4318yescomplemented
994C22×D4C23×C4318yescomplemented
995C22×D4C23×C4314yescomplemented
996C22×D4C23×C4312yescomplemented
997C22×D4C23×C4314yescomplemented
998C22×D4C23×C4312yescomplemented
999C22×D4C23×C4318yescomplemented
1000C22×D4C23×C4318yescomplemented
1001C22×D4C23×C4314yescomplemented
1002C22×D4C23×C4314yescomplemented
1003C22×D4C23×C4314yescomplemented
1004C22×D4C23×C4312yescomplemented
1005C22×D4C23×C4318yescomplemented
1006C23×C4C23×C4311yescharacteristic
1007C23×C4C23×C4312yescomplemented
1008C23×C4C23×C4311yescharacteristic, complemented
1009C23×C4C23×C4314yescomplemented
1010C23×C4C23×C4312yescomplemented
1011C23×C4C23×C4312yescomplemented
1012C4⋊Q8C23×C4312yescomplemented
1013#127C23×C4314yes—
1014#127C23×C4314yescomplemented
1015#127C23×C4318yescomplemented
1016#127C23×C4312yescomplemented
1017#127C23×C4318yescomplemented
1018#127C23×C4318yescomplemented
1019#126C23×C4314yescomplemented
1020#126C23×C4314yescomplemented
1021#126C23×C4318yescomplemented
1022#126C23×C4314yescomplemented
1023#126C23×C4318yescomplemented
1024#126C23×C4318yescomplemented
1025#126C23×C4318yescomplemented
1026#126C23×C4318yescomplemented
1027#125C23×C4314yescomplemented
1028#125C23×C4312yescomplemented
1029#125C23×C4314yescomplemented
1030#125C23×C4318yescomplemented
1031#124C23×C4314yescomplemented
1032#124C23×C4314yescomplemented
1033#124C23×C4314yescomplemented
1034#124C23×C4314yescomplemented
1035#124C23×C4312yescomplemented
1036#124C23×C4314yescomplemented
1037#124C23×C4318yescomplemented
1038#124C23×C4318yescomplemented
1039#124C23×C4318yescomplemented
1040#124C23×C4318yescomplemented
1041#124C23×C4318yescomplemented
1042#123C23×C4314yes—
1043#123C23×C4318yes—
1044#123C23×C4318yescomplemented
1045#123C23×C4318yescomplemented
1046#123C23×C4318yescomplemented
1047#123C23×C4318yescomplemented
1048#123C23×C4318yescomplemented
1049#123C23×C4318yescomplemented
1050#123C23×C4318yescomplemented
1051#123C23×C4318yescomplemented
1052#123C23×C4314yescomplemented
1053#123C23×C4314yescomplemented
1054#123C23×C4314yescomplemented
1055#123C23×C4318yescomplemented
1056#123C23×C4318yescomplemented
1057#123C23×C4314yescomplemented
1058#123C23×C4318yescomplemented
1059#123C23×C4314yescomplemented
1060#123C23×C4318yescomplemented
1061#123C23×C4318yescomplemented
1062#123C23×C4318yescomplemented
1063#123C23×C4318yescomplemented
1064#123C23×C4318yescomplemented
1065#123C23×C4318yescomplemented
1066#123C23×C4318yescomplemented
1067C22⋊Q8C23×C4314yescomplemented
1068C22⋊Q8C23×C4314yescomplemented
1069C22⋊Q8C23×C4312yescomplemented
1070C22⋊Q8C23×C4312yescomplemented
1071C22⋊Q8C23×C4312yescomplemented
1072C22⋊Q8C23×C4314yescomplemented
1073C22⋊Q8C23×C4314yescomplemented
1074C22⋊Q8C23×C4314yescomplemented
1075C22⋊Q8C23×C4318yescomplemented
1076C22⋊Q8C23×C4314yescomplemented
1077C22⋊Q8C23×C4318yescomplemented
1078C22⋊Q8C23×C4314yescomplemented
1079C22⋊Q8C23×C4314yescomplemented
1080C22⋊Q8C23×C4318yescomplemented
1081C22⋊Q8C23×C4318yescomplemented
1082#121C23×C4312yes—
1083#121C23×C4312yes—
1084#121C23×C4314yes—
1085#121C23×C4318yes—
1086#121C23×C4314yes—
1087#121C23×C4314yes—
1088#121C23×C4314yes—
1089#121C23×C4314yes—
1090#121C23×C4314yescomplemented
1091#121C23×C4314yescomplemented
1092#121C23×C4314yescomplemented
1093#121C23×C4314yescomplemented
1094#121C23×C4314yescomplemented
1095#121C23×C4318yescomplemented
1096#121C23×C4318yescomplemented
1097#121C23×C4318yescomplemented
1098#121C23×C4318yescomplemented
1099#121C23×C4314yescomplemented
1100#121C23×C4314yescomplemented
1101#121C23×C4314yescomplemented
1102#121C23×C4318yescomplemented
1103#121C23×C4314yescomplemented
1104#121C23×C4314yescomplemented
1105#121C23×C4314yescomplemented
1106#121C23×C4314yescomplemented
1107#121C23×C4318yescomplemented
1108#121C23×C4318yescomplemented
1109#121C23×C4314yescomplemented
1110#121C23×C4318yescomplemented
1111#121C23×C4318yescomplemented
1112#121C23×C4318yescomplemented
1113#121C23×C4312yescomplemented
1114#121C23×C4314yescomplemented
1115#121C23×C4318yescomplemented
1116#121C23×C4314yescomplemented
1117#121C23×C4314yescomplemented
1118#121C23×C4314yescomplemented
1119#121C23×C4318yescomplemented
1120#121C23×C4318yescomplemented
1121#121C23×C4318yescomplemented
1122#121C23×C4318yescomplemented
1123#121C23×C4318yescomplemented
1124#121C23×C4318yescomplemented
1125#121C23×C4318yescomplemented
1126#121C23×C4318yescomplemented
1127#121C23×C4318yescomplemented
1128#121C23×C4318yescomplemented
1129#121C23×C4318yescomplemented
1130#121C23×C4318yescomplemented
1131#121C23×C4318yescomplemented
1132#120C23×C4314yes—
1133#120C23×C4318yes—
1134#120C23×C4318yes—
1135#120C23×C4318yes—
1136#120C23×C4318yes—
1137#120C23×C4318yescomplemented
1138#120C23×C4314yescomplemented
1139#120C23×C4318yescomplemented
1140#120C23×C4318yescomplemented
1141#120C23×C4318yescomplemented
1142#120C23×C4318yescomplemented
1143#120C23×C4318yescomplemented
1144#120C23×C4318yescomplemented
1145#120C23×C4318yescomplemented
1146#120C23×C4318yescomplemented
1147#120C23×C4318yescomplemented
1148#120C23×C4318yescomplemented
1149#120C23×C4318yescomplemented
1150#120C23×C4318yescomplemented
1151#120C23×C4318yescomplemented
1152#120C23×C4318yescomplemented
1153#120C23×C4318yescomplemented
1154#120C23×C4318yescomplemented
1155#120C23×C4314yescomplemented
1156#120C23×C4318yescomplemented
1157#120C23×C4318yescomplemented
1158#120C23×C4318yescomplemented
1159C4×Q8C23×C4314yescomplemented
1160C4×Q8C23×C4312yescomplemented
1161C4×D4C23×C4312yes—
1162C4×D4C23×C4314yes—
1163C4×D4C23×C4314yes—
1164C4×D4C23×C4314yes—
1165C4×D4C23×C4314yescomplemented
1166C4×D4C23×C4314yescomplemented
1167C4×D4C23×C4314yescomplemented
1168C4×D4C23×C4318yescomplemented
1169C4×D4C23×C4314yescomplemented
1170C4×D4C23×C4314yescomplemented
1171C4×D4C23×C4312yescomplemented
1172C4×D4C23×C4314yescomplemented
1173C4×D4C23×C4318yescomplemented
1174C4×D4C23×C4318yescomplemented
1175C4×D4C23×C4318yescomplemented
1176C4×D4C23×C4318yescomplemented
1177C4×D4C23×C4318yescomplemented
1178C4×D4C23×C4318yescomplemented
1179C4×D4C23×C4314yescomplemented
1180C4×D4C23×C4314yescomplemented
1181C4×D4C23×C4318yescomplemented
1182C4×D4C23×C4312yescomplemented
1183C4×D4C23×C4314yescomplemented
1184C4×D4C23×C4318yescomplemented
1185C4×D4C23×C4318yescomplemented
1186C4×D4C23×C4318yescomplemented
1187C4×D4C23×C4318yescomplemented
1188C4×D4C23×C4314yescomplemented
1189#117C23×C4314yescomplemented
1190#117C23×C4318yescomplemented
1191#117C23×C4314yescomplemented
1192#117C23×C4312yescomplemented
1193#117C23×C4314yescomplemented
1194#117C23×C4314yescomplemented
1195#117C23×C4318yescomplemented
1196C2×C4⋊C4C23×C4312yescomplemented
1197C2×C4⋊C4C23×C4312yescomplemented
1198C2×C4⋊C4C23×C4311yescharacteristic, complemented
1199C2×C4⋊C4C23×C4311yescharacteristic, complemented
1200C2×C4⋊C4C23×C4314yescomplemented
1201C2×C4⋊C4C23×C4312yescomplemented
1202C2×C4⋊C4C23×C4312yescomplemented
1203C2×C4⋊C4C23×C4314yescomplemented
1204C2×C22⋊C4C23×C4311yescharacteristic
1205C2×C22⋊C4C23×C4312yes—
1206C2×C22⋊C4C23×C4312yes—
1207C2×C22⋊C4C23×C4318yescomplemented
1208C2×C22⋊C4C23×C4312yescomplemented
1209C2×C22⋊C4C23×C4312yescomplemented
1210C2×C22⋊C4C23×C4318yescomplemented
1211C2×C22⋊C4C23×C4312yescomplemented
1212C2×C22⋊C4C23×C4314yescomplemented
1213C2×C22⋊C4C23×C4312yescomplemented
1214C2×C22⋊C4C23×C4311yescharacteristic, complemented
1215C2×C22⋊C4C23×C4318yescomplemented
1216C2×C22⋊C4C23×C4318yescomplemented
1217C2×C22⋊C4C23×C4318yescomplemented
1218C2×C22⋊C4C23×C4314yescomplemented
1219C2×C22⋊C4C23×C4314yescomplemented
1220C2×C22⋊C4C23×C4318yescomplemented
1221C2×C22⋊C4C23×C4312yescomplemented
1222C2×C22⋊C4C23×C4318yescomplemented
1223C2×C22⋊C4C23×C4314yescomplemented
1224C2×C42C23×C4311yescharacteristic, complemented
1225C2×C42C23×C4312yescomplemented
1226C24—28no—
1227C24—44no—
1228C24—48no—
1229C24—48no—
1230C24—82no—
1231C24—84no—
1232C24C24×C4314yes—
1233C24C24×C4312yes—
1234C24C24×C4314yes—
1235C24C24×C4314yes—
1236C24C24×C4318yes—
1237C24C24×C4312yes—
1238C24C24×C4312yes—
1239C24C24×C4311yescharacteristic
1240C24C24×C4318yes—
1241C24C24×C4314yes—
1242C24C24×C4311yescharacteristic
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×C4312yes—
1254C2×Q8C24×C4312yes—
1255C2×Q8C24×C4312yes—
1256C2×Q8C24×C4312yes—
1257C2×Q8C24×C4314yes—
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×C4314yes—
1289C2×D4C24×C4318yes—
1290C2×D4C24×C4314yes—
1291C2×D4C24×C4318yes—
1292C2×D4C24×C4314yes—
1293C2×D4C24×C4312yes—
1294C2×D4C24×C4314yes—
1295C2×D4C24×C4318yes—
1296C2×D4C24×C4314yes—
1297C2×D4C24×C4312yes—
1298C2×D4C24×C4314yes—
1299C2×D4C24×C4311yescharacteristic
1300C2×D4C24×C4312yes—
1301C2×D4C24×C4318yes—
1302C2×D4C24×C4318yes—
1303C2×D4C24×C4318yes—
1304C2×D4C24×C4314yes—
1305C2×D4C24×C4314yes—
1306C2×D4C24×C4318yes—
1307C2×D4C24×C4312yes—
1308C2×D4C24×C4318yes—
1309C2×D4C24×C4318yes—
1310C2×D4C24×C4318yes—
1311C2×D4C24×C4314yes—
1312C2×D4C24×C4314yes—
1313C2×D4C24×C4312yes—
1314C2×D4C24×C4314yes—
1315C2×D4C24×C4314yes—
1316C2×D4C24×C4318yes—
1317C2×D4C24×C4318yes—
1318C2×D4C24×C4314yes—
1319C2×D4C24×C4318yes—
1320C2×D4C24×C4314yes—
1321C2×D4C24×C4318yes—
1322C2×D4C24×C4311yescharacteristic
1323C22×C4—42no—
1324C22×C4—44no—
1325C22×C4—42no—
1326C22×C4—48no—
1327C22×C4—44no—
1328C22×C4—82no—
1329C22×C4C24×C4311yescharacteristic
1330C22×C4C24×C4312yes—
1331C22×C4C24×C4311yescharacteristic
1332C22×C4C24×C4312yes—
1333C22×C4C24×C4314yes—
1334C22×C4C24×C4314yes—
1335C22×C4C24×C4312yes—
1336C22×C4C24×C4314yes—
1337C22×C4C24×C4312yes—
1338C22×C4C24×C4311yescharacteristic
1339C22×C4C24×C4312yes—
1340C22×C4C24×C4312yes—
1341C22×C4C24×C4312yes—
1342C22×C4C24×C4311yescharacteristic
1343C22×C4C24×C4314yes—
1344C22×C4C24×C4312yes—
1345C22×C4C24×C4318yes—
1346C22×C4C24×C4318yes—
1347C22×C4C24×C4314yes—
1348C22×C4C24×C4318yes—
1349C22×C4C24×C4318yes—
1350C22×C4C24×C4314yes—
1351C22×C4C24×C4312yes—
1352C22×C4C24×C4311yescharacteristic
1353C22×C4C24×C4314yes—
1354C22×C4C24×C4314yes—
1355C22×C4C24×C4318yes—
1356C4⋊C4C24×C4314yes—
1357C4⋊C4C24×C4312yes—
1358C4⋊C4C24×C4314yes—
1359C4⋊C4C24×C4312yes—
1360C4⋊C4C24×C4312yes—
1361C4⋊C4C24×C4318yes—
1362C4⋊C4C24×C4318yes—
1363C4⋊C4C24×C4314yes—
1364C4⋊C4C24×C4314yes—
1365C4⋊C4C24×C4314yes—
1366C4⋊C4C24×C4314yes—
1367C4⋊C4C24×C4314yes—
1368C4⋊C4C24×C4312yes—
1369C4⋊C4C24×C4318yes—
1370C4⋊C4C24×C4312yes—
1371C4⋊C4C24×C4312yes—
1372C4⋊C4C24×C4314yes—
1373C4⋊C4C24×C4318yes—
1374C4⋊C4C24×C4314yes—
1375C4⋊C4C24×C4318yes—
1376C4⋊C4C24×C4314yes—
1377C4⋊C4C24×C4314yes—
1378C22⋊C4C24×C4314yes—
1379C22⋊C4C24×C4318yes—
1380C22⋊C4C24×C4314yes—
1381C22⋊C4C24×C4314yes—
1382C22⋊C4C24×C4314yes—
1383C22⋊C4C24×C4318yes—
1384C22⋊C4C24×C4318yes—
1385C22⋊C4C24×C4318yes—
1386C22⋊C4C24×C4314yes—
1387C22⋊C4C24×C4314yes—
1388C22⋊C4C24×C4318yes—
1389C22⋊C4C24×C4318yes—
1390C22⋊C4C24×C4314yes—
1391C22⋊C4C24×C4314yes—
1392C22⋊C4C24×C4318yes—
1393C22⋊C4C24×C4318yes—
1394C22⋊C4C24×C4318yes—
1395C22⋊C4C24×C4318yes—
1396C22⋊C4C24×C4318yes—
1397C22⋊C4C24×C4318yes—
1398C22⋊C4C24×C4318yes—
1399C22⋊C4C24×C4314yes—
1400C22⋊C4C24×C4314yes—
1401C22⋊C4C24×C4318yes—
1402C22⋊C4C24×C4318yes—
1403C22⋊C4C24×C4318yes—
1404C22⋊C4C24×C4318yes—
1405C22⋊C4C24×C4318yes—
1406C22⋊C4C24×C4314yes—
1407C22⋊C4C24×C4314yes—
1408C22⋊C4C24×C4314yes—
1409C22⋊C4C24×C4314yes—
1410C42C24×C4314yes—
1411C42C24×C4312yes—
1412C42C24×C4314yes—
1413C42C24×C4312yes—
1414C42C24×C4318yes—
1415C42C24×C4318yes—
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)×C4314yescomplemented
1451C23C25×C4314yes—
1452C23C25×C4314yes—
1453C23C25×C4318yes—
1454C23C25×C4312yes—
1455C23C25×C4312yes—
1456C23C25×C4312yes—
1457C23C25×C4312yes—
1458C23C25×C4311yescharacteristic
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)×C4314yescomplemented
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×C4314yes—
1527C2×C4C25×C4312yes—
1528C2×C4C25×C4314yes—
1529C2×C4C25×C4312yes—
1530C2×C4C25×C4311yescharacteristic
1531C2×C4C25×C4314yes—
1532C2×C4C25×C4314yes—
1533C2×C4C25×C4318yes—
1534C2×C4C25×C4314yes—
1535C2×C4C25×C4312yes—
1536C2×C4C25×C4312yes—
1537C2×C4C25×C4311yescharacteristic
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)×C4314yes—
1571C22C2×H(5,𝔽2)×C4314yes—
1572C22C2×H(5,𝔽2)×C4312yes—
1573C22C26×C4311yescharacteristic
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)×C4312yes—
1586C2—24no—
1587C2—24no—
1588C2—22no—
1589C2—44no—
1590C2—44no—
1591C2—42no—
1592C2—48no—
1593C2—42no—
1594C2C22×H(5,𝔽2)×C4311yescharacteristic
1595C2C22×H(5,𝔽2)×C4311yescharacteristic
1596C2C43×H(7,𝔽2)11yescharacteristic
subgroupG/H
center, socleC22×C43C26
commutator, Frattini, cosocleC22C26×C43
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22×C43 ◁ G

Complements

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

NH ≅ G/Ntype
1. C43×#3558C2semidirect
2. C43×#3543C2semidirect
3. C43×#3542C2semidirect
4. C43×#3537C2semidirect
5. C43×#3537C2semidirect
6. C43×#3534C2semidirect
7. C43×#3534C2semidirect
8. C43×#3532C2semidirect
9. C43×#3519C2semidirect
10. C43×#3513C2semidirect
11. C43×#3505C2semidirect
12. C43×#3496C2semidirect
13. C43×#3490C2semidirect
14. C43×#3488C2semidirect
15. C43×#3484C2semidirect
16. C43×#3484C2semidirect
17. C2×C43×#546C2semidirect
18. C2×D42×C43C2semidirect
19. C43×#3459C2semidirect
20. C2×C43×#534C2semidirect
21. C2×H(5,𝔽2)×C43C22semidirect
22. C2×H(5,𝔽2)×C43C22semidirect
23. C22×#41×C43C22semidirect
24. C23×D4×C43C22semidirect
25. C23×D4×C43C22semidirect
26. C23×D4×C43C22semidirect
27. C43×#562C22semidirect
28. C43×#562C22semidirect
29. C43×H(3,𝔽4)C22semidirect
30. C43×#560C22semidirect
31. C43×#560C22semidirect
32. C43×#560C22semidirect
33. C43×#560C22semidirect
34. C43×#559C22semidirect
35. C43×#555C22semidirect
36. C43×#554C22semidirect
37. C43×#553C22semidirect
38. C43×#553C22semidirect
39. C43×#553C22semidirect
40. C43×#553C22semidirect
41. C43×#553C22semidirect
42. C43×#552C22semidirect
43. C43×#551C22semidirect
44. C43×#551C22semidirect
45. C43×#551C22semidirect
46. C43×#551C22semidirect
47. C43×#550C22semidirect
48. C43×#550C22semidirect
49. C43×#548C22semidirect
50. C43×#547C22semidirect
51. C43×#546C22semidirect
52. C43×#546C22semidirect
53. C43×#546C22semidirect
54. C43×#546C22semidirect
55. C43×#546C22semidirect
56. C43×#546C22semidirect
57. C43×#546C22semidirect
58. C43×#546C22semidirect
59. C43×#546C22semidirect
60. C43×#546C22semidirect
61. C43×#546C22semidirect
62. C43×#546C22semidirect
63. C43×#546C22semidirect
64. C43×#546C22semidirect
65. C43×#546C22semidirect
66. C43×#546C22semidirect
67. D42×C43C22semidirect
68. D42×C43C22semidirect
69. D42×C43C22semidirect
70. D42×C43C22semidirect
71. D42×C43C22semidirect
72. D42×C43C22semidirect
73. D42×C43C22semidirect
74. D42×C43C22semidirect
75. D42×C43C22semidirect
76. D42×C43C22semidirect
77. D42×C43C22semidirect
78. D42×C43C22semidirect
79. D42×C43C22semidirect
80. D42×C43C22semidirect
81. C43×#543C22semidirect
82. C43×#542C22semidirect
83. C43×#540C22semidirect
84. C43×#540C22semidirect
85. C43×#540C22semidirect
86. C43×#540C22semidirect
87. C43×#539C22semidirect
88. C43×#539C22semidirect
89. C43×#539C22semidirect
90. C43×#539C22semidirect
91. C43×#538C22semidirect
92. C43×#538C22semidirect
93. C43×#538C22semidirect
94. C43×#538C22semidirect
95. C43×#538C22semidirect
96. C43×#538C22semidirect
97. C43×#538C22semidirect
98. C43×#538C22semidirect
99. C43×#538C22semidirect
100. C43×#538C22semidirect
101. C43×#537C22semidirect
102. C43×#537C22semidirect
103. C43×#537C22semidirect
104. C43×#535C22semidirect
105. C43×#535C22semidirect
106. C43×#535C22semidirect
107. C43×#535C22semidirect
108. C43×#535C22semidirect
109. C43×#535C22semidirect
110. C43×#534C22semidirect
111. C43×#534C22semidirect
112. C43×#534C22semidirect
113. C43×#534C22semidirect
114. C43×#534C22semidirect
115. C43×#534C22semidirect
116. C43×#534C22semidirect
117. C43×#534C22semidirect
118. C43×#534C22semidirect
119. C43×#534C22semidirect
120. C43×#534C22semidirect
121. C43×#534C22semidirect
122. C43×#534C22semidirect
123. C43×#532C22semidirect
124. C2×#127×C43C22semidirect
125. C43×#529C22semidirect
126. C43×#529C22semidirect
127. C43×#529C22semidirect
128. C2×#124×C43C22semidirect
129. C43×#525C22semidirect
130. C43×#525C22semidirect
131. C43×#525C22semidirect
132. C43×#525C22semidirect
133. C43×#525C22semidirect
134. C43×#525C22semidirect
135. C2×#123×C43C22semidirect
136. C2×#123×C43C22semidirect
137. C2×C22⋊Q8×C43C22semidirect
138. C2×#121×C43C22semidirect
139. C2×#121×C43C22semidirect
140. C2×#121×C43C22semidirect
141. C2×#121×C43C22semidirect
142. C2×#121×C43C22semidirect
143. C2×#121×C43C22semidirect
144. C2×#121×C43C22semidirect
145. C2×#121×C43C22semidirect
146. C2×#120×C43C22semidirect
147. C2×#120×C43C22semidirect
148. C2×#120×C43C22semidirect
149. C2×#120×C43C22semidirect
150. C2×#120×C43C22semidirect
151. C43×#520C22semidirect
152. C43×#518C22semidirect
153. C43×#518C22semidirect
154. C2×C4×D4×C43C22semidirect
155. C2×C4×D4×C43C22semidirect
156. C2×C4×D4×C43C22semidirect
157. C2×C4×D4×C43C22semidirect
158. C22×C22⋊C4×C43C22semidirect
160. C25×C43C23semidirect
165. C2×#41×C43C23semidirect
166. C2×#41×C43C23semidirect
167. C2×#41×C43C23semidirect
168. C2×#41×C43C23semidirect
169. C2×#41×C43C23semidirect
170. C2×#41×C43C23semidirect
171. C2×#41×C43C23semidirect
172. C2×#41×C43C23semidirect
173. C22×Q8×C43C23semidirect
189. C22×D4×C43C23semidirect
190. C22×D4×C43C23semidirect
191. C22×D4×C43C23semidirect
192. C22×D4×C43C23semidirect
193. C22×D4×C43C23semidirect
194. C22×D4×C43C23semidirect
195. C22×D4×C43C23semidirect
196. C22×D4×C43C23semidirect
197. C22×D4×C43C23semidirect
198. C22×D4×C43C23semidirect
199. C22×D4×C43C23semidirect
200. C22×D4×C43C23semidirect
201. C22×D4×C43C23semidirect
202. C22×D4×C43C23semidirect
203. C22×D4×C43C23semidirect
204. C22×D4×C43C23semidirect
205. C22×D4×C43C23semidirect
206. C22×D4×C43C23semidirect
208. C23×C4×C43C23semidirect
209. C23×C4×C43C23semidirect
210. C23×C4×C43C23semidirect
211. C23×C4×C43C23semidirect
212. C23×C4×C43C23semidirect
213. C4⋊Q8×C43C23semidirect
215. #127×C43C23semidirect
216. #127×C43C23semidirect
217. #127×C43C23semidirect
218. #127×C43C23semidirect
219. #127×C43C23semidirect
220. #126×C43C23semidirect
221. #126×C43C23semidirect
222. #126×C43C23semidirect
223. #126×C43C23semidirect
224. #126×C43C23semidirect
225. #126×C43C23semidirect
226. #126×C43C23semidirect
227. #126×C43C23semidirect
228. #125×C43C23semidirect
229. #125×C43C23semidirect
230. #125×C43C23semidirect
231. #125×C43C23semidirect
232. #124×C43C23semidirect
233. #124×C43C23semidirect
234. #124×C43C23semidirect
235. #124×C43C23semidirect
236. #124×C43C23semidirect
237. #124×C43C23semidirect
238. #124×C43C23semidirect
239. #124×C43C23semidirect
240. #124×C43C23semidirect
241. #124×C43C23semidirect
242. #124×C43C23semidirect
245. #123×C43C23semidirect
246. #123×C43C23semidirect
247. #123×C43C23semidirect
248. #123×C43C23semidirect
249. #123×C43C23semidirect
250. #123×C43C23semidirect
251. #123×C43C23semidirect
252. #123×C43C23semidirect
253. #123×C43C23semidirect
254. #123×C43C23semidirect
255. #123×C43C23semidirect
256. #123×C43C23semidirect
257. #123×C43C23semidirect
258. #123×C43C23semidirect
259. #123×C43C23semidirect
260. #123×C43C23semidirect
261. #123×C43C23semidirect
262. #123×C43C23semidirect
263. #123×C43C23semidirect
264. #123×C43C23semidirect
265. #123×C43C23semidirect
266. #123×C43C23semidirect
267. #123×C43C23semidirect
268. C22⋊Q8×C43C23semidirect
269. C22⋊Q8×C43C23semidirect
270. C22⋊Q8×C43C23semidirect
271. C22⋊Q8×C43C23semidirect
272. C22⋊Q8×C43C23semidirect
273. C22⋊Q8×C43C23semidirect
274. C22⋊Q8×C43C23semidirect
275. C22⋊Q8×C43C23semidirect
276. C22⋊Q8×C43C23semidirect
277. C22⋊Q8×C43C23semidirect
278. C22⋊Q8×C43C23semidirect
279. C22⋊Q8×C43C23semidirect
280. C22⋊Q8×C43C23semidirect
281. C22⋊Q8×C43C23semidirect
282. C22⋊Q8×C43C23semidirect
291. #121×C43C23semidirect
292. #121×C43C23semidirect
293. #121×C43C23semidirect
294. #121×C43C23semidirect
295. #121×C43C23semidirect
296. #121×C43C23semidirect
297. #121×C43C23semidirect
298. #121×C43C23semidirect
299. #121×C43C23semidirect
300. #121×C43C23semidirect
301. #121×C43C23semidirect
302. #121×C43C23semidirect
303. #121×C43C23semidirect
304. #121×C43C23semidirect
305. #121×C43C23semidirect
306. #121×C43C23semidirect
307. #121×C43C23semidirect
308. #121×C43C23semidirect
309. #121×C43C23semidirect
310. #121×C43C23semidirect
311. #121×C43C23semidirect
312. #121×C43C23semidirect
313. #121×C43C23semidirect
314. #121×C43C23semidirect
315. #121×C43C23semidirect
316. #121×C43C23semidirect
317. #121×C43C23semidirect
318. #121×C43C23semidirect
319. #121×C43C23semidirect
320. #121×C43C23semidirect
321. #121×C43C23semidirect
322. #121×C43C23semidirect
323. #121×C43C23semidirect
324. #121×C43C23semidirect
325. #121×C43C23semidirect
326. #121×C43C23semidirect
327. #121×C43C23semidirect
328. #121×C43C23semidirect
329. #121×C43C23semidirect
330. #121×C43C23semidirect
331. #121×C43C23semidirect
332. #121×C43C23semidirect
338. #120×C43C23semidirect
339. #120×C43C23semidirect
340. #120×C43C23semidirect
341. #120×C43C23semidirect
342. #120×C43C23semidirect
343. #120×C43C23semidirect
344. #120×C43C23semidirect
345. #120×C43C23semidirect
346. #120×C43C23semidirect
347. #120×C43C23semidirect
348. #120×C43C23semidirect
349. #120×C43C23semidirect
350. #120×C43C23semidirect
351. #120×C43C23semidirect
352. #120×C43C23semidirect
353. #120×C43C23semidirect
354. #120×C43C23semidirect
355. #120×C43C23semidirect
356. #120×C43C23semidirect
357. #120×C43C23semidirect
358. #120×C43C23semidirect
359. #120×C43C23semidirect
360. C4×Q8×C43C23semidirect
361. C4×Q8×C43C23semidirect
366. C4×D4×C43C23semidirect
367. C4×D4×C43C23semidirect
368. C4×D4×C43C23semidirect
369. C4×D4×C43C23semidirect
370. C4×D4×C43C23semidirect
371. C4×D4×C43C23semidirect
372. C4×D4×C43C23semidirect
373. C4×D4×C43C23semidirect
374. C4×D4×C43C23semidirect
375. C4×D4×C43C23semidirect
376. C4×D4×C43C23semidirect
377. C4×D4×C43C23semidirect
378. C4×D4×C43C23semidirect
379. C4×D4×C43C23semidirect
380. C4×D4×C43C23semidirect
381. C4×D4×C43C23semidirect
382. C4×D4×C43C23semidirect
383. C4×D4×C43C23semidirect
384. C4×D4×C43C23semidirect
385. C4×D4×C43C23semidirect
386. C4×D4×C43C23semidirect
387. C4×D4×C43C23semidirect
388. C4×D4×C43C23semidirect
389. C4×D4×C43C23semidirect
390. #117×C43C23semidirect
391. #117×C43C23semidirect
392. #117×C43C23semidirect
393. #117×C43C23semidirect
394. #117×C43C23semidirect
395. #117×C43C23semidirect
396. #117×C43C23semidirect
397. C2×C4⋊C4×C43C23semidirect
398. C2×C4⋊C4×C43C23semidirect
399. C2×C4⋊C4×C43C23semidirect
400. C2×C4⋊C4×C43C23semidirect
401. C2×C4⋊C4×C43C23semidirect
402. C2×C4⋊C4×C43C23semidirect
403. C2×C4⋊C4×C43C23semidirect
404. C2×C4⋊C4×C43C23semidirect
408. C2×C22⋊C4×C43C23semidirect
409. C2×C22⋊C4×C43C23semidirect
410. C2×C22⋊C4×C43C23semidirect
411. C2×C22⋊C4×C43C23semidirect
412. C2×C22⋊C4×C43C23semidirect
413. C2×C22⋊C4×C43C23semidirect
414. C2×C22⋊C4×C43C23semidirect
415. C2×C22⋊C4×C43C23semidirect
416. C2×C22⋊C4×C43C23semidirect
417. C2×C22⋊C4×C43C23semidirect
418. C2×C22⋊C4×C43C23semidirect
419. C2×C22⋊C4×C43C23semidirect
420. C2×C22⋊C4×C43C23semidirect
421. C2×C22⋊C4×C43C23semidirect
422. C2×C22⋊C4×C43C23semidirect
423. C2×C22⋊C4×C43C23semidirect
424. C2×C22⋊C4×C43C23semidirect
425. C2×C42×C43C23semidirect
426. C2×C42×C43C23semidirect
651. C23×C43H(5,𝔽2)semidirect
699. D4×C43H(5,𝔽2)semidirect
739. #62892C43direct (N × H)
788. #3558C2×C43semidirect
789. #3543C2×C43semidirect
790. #3542C2×C43semidirect
791. #3537C2×C43semidirect
792. #3537C2×C43semidirect
793. #3534C2×C43semidirect
794. #3534C2×C43semidirect
795. #3532C2×C43semidirect
796. #3519C2×C43semidirect
797. #3513C2×C43semidirect
798. #3505C2×C43semidirect
799. #3496C2×C43semidirect
800. #3490C2×C43semidirect
801. #3488C2×C43semidirect
802. #3484C2×C43semidirect
803. #3484C2×C43semidirect
804. C2×#546C2×C43semidirect
805. C2×D42C2×C43semidirect
806. #3459C2×C43semidirect
807. C2×#534C2×C43semidirect
819. C2×H(5,𝔽2)C22×C43semidirect
820. C2×H(5,𝔽2)C22×C43semidirect
821. C22×#41C22×C43semidirect
822. C23×D4C22×C43semidirect
823. C23×D4C22×C43semidirect
824. C23×D4C22×C43semidirect
825. #562C22×C43semidirect
826. #562C22×C43semidirect
827. H(3,𝔽4)C22×C43semidirect
828. #560C22×C43semidirect
829. #560C22×C43semidirect
830. #560C22×C43semidirect
831. #560C22×C43semidirect
832. #559C22×C43semidirect
833. #555C22×C43semidirect
834. #554C22×C43semidirect
835. #553C22×C43semidirect
836. #553C22×C43semidirect
837. #553C22×C43semidirect
838. #553C22×C43semidirect
839. #553C22×C43semidirect
840. #552C22×C43semidirect
841. #551C22×C43semidirect
842. #551C22×C43semidirect
843. #551C22×C43semidirect
844. #551C22×C43semidirect
845. #550C22×C43semidirect
846. #550C22×C43semidirect
847. #548C22×C43semidirect
848. #547C22×C43semidirect
849. #546C22×C43semidirect
850. #546C22×C43semidirect
851. #546C22×C43semidirect
852. #546C22×C43semidirect
853. #546C22×C43semidirect
854. #546C22×C43semidirect
855. #546C22×C43semidirect
856. #546C22×C43semidirect
857. #546C22×C43semidirect
858. #546C22×C43semidirect
859. #546C22×C43semidirect
860. #546C22×C43semidirect
861. #546C22×C43semidirect
862. #546C22×C43semidirect
863. #546C22×C43semidirect
864. #546C22×C43semidirect
865. D42C22×C43semidirect
866. D42C22×C43semidirect
867. D42C22×C43semidirect
868. D42C22×C43semidirect
869. D42C22×C43semidirect
870. D42C22×C43semidirect
871. D42C22×C43semidirect
872. D42C22×C43semidirect
873. D42C22×C43semidirect
874. D42C22×C43semidirect
875. D42C22×C43semidirect
876. D42C22×C43semidirect
877. D42C22×C43semidirect
878. D42C22×C43semidirect
879. #543C22×C43semidirect
880. #542C22×C43semidirect
881. #540C22×C43semidirect
882. #540C22×C43semidirect
883. #540C22×C43semidirect
884. #540C22×C43semidirect
885. #539C22×C43semidirect
886. #539C22×C43semidirect
887. #539C22×C43semidirect
888. #539C22×C43semidirect
889. #538C22×C43semidirect
890. #538C22×C43semidirect
891. #538C22×C43semidirect
892. #538C22×C43semidirect
893. #538C22×C43semidirect
894. #538C22×C43semidirect
895. #538C22×C43semidirect
896. #538C22×C43semidirect
897. #538C22×C43semidirect
898. #538C22×C43semidirect
899. #537C22×C43semidirect
900. #537C22×C43semidirect
901. #537C22×C43semidirect
902. #535C22×C43semidirect
903. #535C22×C43semidirect
904. #535C22×C43semidirect
905. #535C22×C43semidirect
906. #535C22×C43semidirect
907. #535C22×C43semidirect
908. #534C22×C43semidirect
909. #534C22×C43semidirect
910. #534C22×C43semidirect
911. #534C22×C43semidirect
912. #534C22×C43semidirect
913. #534C22×C43semidirect
914. #534C22×C43semidirect
915. #534C22×C43semidirect
916. #534C22×C43semidirect
917. #534C22×C43semidirect
918. #534C22×C43semidirect
919. #534C22×C43semidirect
920. #534C22×C43semidirect
921. #532C22×C43semidirect
922. C2×#127C22×C43semidirect
923. #529C22×C43semidirect
924. #529C22×C43semidirect
925. #529C22×C43semidirect
926. C2×#124C22×C43semidirect
927. #525C22×C43semidirect
928. #525C22×C43semidirect
929. #525C22×C43semidirect
930. #525C22×C43semidirect
931. #525C22×C43semidirect
932. #525C22×C43semidirect
933. C2×#123C22×C43semidirect
934. C2×#123C22×C43semidirect
935. C2×C22⋊Q8C22×C43semidirect
936. C2×#121C22×C43semidirect
937. C2×#121C22×C43semidirect
938. C2×#121C22×C43semidirect
939. C2×#121C22×C43semidirect
940. C2×#121C22×C43semidirect
941. C2×#121C22×C43semidirect
942. C2×#121C22×C43semidirect
943. C2×#121C22×C43semidirect
944. C2×#120C22×C43semidirect
945. C2×#120C22×C43semidirect
946. C2×#120C22×C43semidirect
947. C2×#120C22×C43semidirect
948. C2×#120C22×C43semidirect
949. #520C22×C43semidirect
950. #518C22×C43semidirect
951. #518C22×C43semidirect
952. C2×C4×D4C22×C43semidirect
953. C2×C4×D4C22×C43semidirect
954. C2×C4×D4C22×C43semidirect
955. C2×C4×D4C22×C43semidirect
956. C22×C22⋊C4C22×C43semidirect
957. C43#62892direct (N × H)
959. C25C23×C43semidirect
964. C2×#41C23×C43semidirect
965. C2×#41C23×C43semidirect
966. C2×#41C23×C43semidirect
967. C2×#41C23×C43semidirect
968. C2×#41C23×C43semidirect
969. C2×#41C23×C43semidirect
970. C2×#41C23×C43semidirect
971. C2×#41C23×C43semidirect
972. C22×Q8C23×C43semidirect
988. C22×D4C23×C43semidirect
989. C22×D4C23×C43semidirect
990. C22×D4C23×C43semidirect
991. C22×D4C23×C43semidirect
992. C22×D4C23×C43semidirect
993. C22×D4C23×C43semidirect
994. C22×D4C23×C43semidirect
995. C22×D4C23×C43semidirect
996. C22×D4C23×C43semidirect
997. C22×D4C23×C43semidirect
998. C22×D4C23×C43semidirect
999. C22×D4C23×C43semidirect
1000. C22×D4C23×C43semidirect
1001. C22×D4C23×C43semidirect
1002. C22×D4C23×C43semidirect
1003. C22×D4C23×C43semidirect
1004. C22×D4C23×C43semidirect
1005. C22×D4C23×C43semidirect
1007. C23×C4C23×C43semidirect
1008. C23×C4C23×C43semidirect
1009. C23×C4C23×C43semidirect
1010. C23×C4C23×C43semidirect
1011. C23×C4C23×C43semidirect
1012. C4⋊Q8C23×C43semidirect
1014. #127C23×C43semidirect
1015. #127C23×C43semidirect
1016. #127C23×C43semidirect
1017. #127C23×C43semidirect
1018. #127C23×C43semidirect
1019. #126C23×C43semidirect
1020. #126C23×C43semidirect
1021. #126C23×C43semidirect
1022. #126C23×C43semidirect
1023. #126C23×C43semidirect
1024. #126C23×C43semidirect
1025. #126C23×C43semidirect
1026. #126C23×C43semidirect
1027. #125C23×C43semidirect
1028. #125C23×C43semidirect
1029. #125C23×C43semidirect
1030. #125C23×C43semidirect
1031. #124C23×C43semidirect
1032. #124C23×C43semidirect
1033. #124C23×C43semidirect
1034. #124C23×C43semidirect
1035. #124C23×C43semidirect
1036. #124C23×C43semidirect
1037. #124C23×C43semidirect
1038. #124C23×C43semidirect
1039. #124C23×C43semidirect
1040. #124C23×C43semidirect
1041. #124C23×C43semidirect
1044. #123C23×C43semidirect
1045. #123C23×C43semidirect
1046. #123C23×C43semidirect
1047. #123C23×C43semidirect
1048. #123C23×C43semidirect
1049. #123C23×C43semidirect
1050. #123C23×C43semidirect
1051. #123C23×C43semidirect
1052. #123C23×C43semidirect
1053. #123C23×C43semidirect
1054. #123C23×C43semidirect
1055. #123C23×C43semidirect
1056. #123C23×C43semidirect
1057. #123C23×C43semidirect
1058. #123C23×C43semidirect
1059. #123C23×C43semidirect
1060. #123C23×C43semidirect
1061. #123C23×C43semidirect
1062. #123C23×C43semidirect
1063. #123C23×C43semidirect
1064. #123C23×C43semidirect
1065. #123C23×C43semidirect
1066. #123C23×C43semidirect
1067. C22⋊Q8C23×C43semidirect
1068. C22⋊Q8C23×C43semidirect
1069. C22⋊Q8C23×C43semidirect
1070. C22⋊Q8C23×C43semidirect
1071. C22⋊Q8C23×C43semidirect
1072. C22⋊Q8C23×C43semidirect
1073. C22⋊Q8C23×C43semidirect
1074. C22⋊Q8C23×C43semidirect
1075. C22⋊Q8C23×C43semidirect
1076. C22⋊Q8C23×C43semidirect
1077. C22⋊Q8C23×C43semidirect
1078. C22⋊Q8C23×C43semidirect
1079. C22⋊Q8C23×C43semidirect
1080. C22⋊Q8C23×C43semidirect
1081. C22⋊Q8C23×C43semidirect
1090. #121C23×C43semidirect
1091. #121C23×C43semidirect
1092. #121C23×C43semidirect
1093. #121C23×C43semidirect
1094. #121C23×C43semidirect
1095. #121C23×C43semidirect
1096. #121C23×C43semidirect
1097. #121C23×C43semidirect
1098. #121C23×C43semidirect
1099. #121C23×C43semidirect
1100. #121C23×C43semidirect
1101. #121C23×C43semidirect
1102. #121C23×C43semidirect
1103. #121C23×C43semidirect
1104. #121C23×C43semidirect
1105. #121C23×C43semidirect
1106. #121C23×C43semidirect
1107. #121C23×C43semidirect
1108. #121C23×C43semidirect
1109. #121C23×C43semidirect
1110. #121C23×C43semidirect
1111. #121C23×C43semidirect
1112. #121C23×C43semidirect
1113. #121C23×C43semidirect
1114. #121C23×C43semidirect
1115. #121C23×C43semidirect
1116. #121C23×C43semidirect
1117. #121C23×C43semidirect
1118. #121C23×C43semidirect
1119. #121C23×C43semidirect
1120. #121C23×C43semidirect
1121. #121C23×C43semidirect
1122. #121C23×C43semidirect
1123. #121C23×C43semidirect
1124. #121C23×C43semidirect
1125. #121C23×C43semidirect
1126. #121C23×C43semidirect
1127. #121C23×C43semidirect
1128. #121C23×C43semidirect
1129. #121C23×C43semidirect
1130. #121C23×C43semidirect
1131. #121C23×C43semidirect
1137. #120C23×C43semidirect
1138. #120C23×C43semidirect
1139. #120C23×C43semidirect
1140. #120C23×C43semidirect
1141. #120C23×C43semidirect
1142. #120C23×C43semidirect
1143. #120C23×C43semidirect
1144. #120C23×C43semidirect
1145. #120C23×C43semidirect
1146. #120C23×C43semidirect
1147. #120C23×C43semidirect
1148. #120C23×C43semidirect
1149. #120C23×C43semidirect
1150. #120C23×C43semidirect
1151. #120C23×C43semidirect
1152. #120C23×C43semidirect
1153. #120C23×C43semidirect
1154. #120C23×C43semidirect
1155. #120C23×C43semidirect
1156. #120C23×C43semidirect
1157. #120C23×C43semidirect
1158. #120C23×C43semidirect
1159. C4×Q8C23×C43semidirect
1160. C4×Q8C23×C43semidirect
1165. C4×D4C23×C43semidirect
1166. C4×D4C23×C43semidirect
1167. C4×D4C23×C43semidirect
1168. C4×D4C23×C43semidirect
1169. C4×D4C23×C43semidirect
1170. C4×D4C23×C43semidirect
1171. C4×D4C23×C43semidirect
1172. C4×D4C23×C43semidirect
1173. C4×D4C23×C43semidirect
1174. C4×D4C23×C43semidirect
1175. C4×D4C23×C43semidirect
1176. C4×D4C23×C43semidirect
1177. C4×D4C23×C43semidirect
1178. C4×D4C23×C43semidirect
1179. C4×D4C23×C43semidirect
1180. C4×D4C23×C43semidirect
1181. C4×D4C23×C43semidirect
1182. C4×D4C23×C43semidirect
1183. C4×D4C23×C43semidirect
1184. C4×D4C23×C43semidirect
1185. C4×D4C23×C43semidirect
1186. C4×D4C23×C43semidirect
1187. C4×D4C23×C43semidirect
1188. C4×D4C23×C43semidirect
1189. #117C23×C43semidirect
1190. #117C23×C43semidirect
1191. #117C23×C43semidirect
1192. #117C23×C43semidirect
1193. #117C23×C43semidirect
1194. #117C23×C43semidirect
1195. #117C23×C43semidirect
1196. C2×C4⋊C4C23×C43semidirect
1197. C2×C4⋊C4C23×C43semidirect
1198. C2×C4⋊C4C23×C43semidirect
1199. C2×C4⋊C4C23×C43semidirect
1200. C2×C4⋊C4C23×C43semidirect
1201. C2×C4⋊C4C23×C43semidirect
1202. C2×C4⋊C4C23×C43semidirect
1203. C2×C4⋊C4C23×C43semidirect
1207. C2×C22⋊C4C23×C43semidirect
1208. C2×C22⋊C4C23×C43semidirect
1209. C2×C22⋊C4C23×C43semidirect
1210. C2×C22⋊C4C23×C43semidirect
1211. C2×C22⋊C4C23×C43semidirect
1212. C2×C22⋊C4C23×C43semidirect
1213. C2×C22⋊C4C23×C43semidirect
1214. C2×C22⋊C4C23×C43semidirect
1215. C2×C22⋊C4C23×C43semidirect
1216. C2×C22⋊C4C23×C43semidirect
1217. C2×C22⋊C4C23×C43semidirect
1218. C2×C22⋊C4C23×C43semidirect
1219. C2×C22⋊C4C23×C43semidirect
1220. C2×C22⋊C4C23×C43semidirect
1221. C2×C22⋊C4C23×C43semidirect
1222. C2×C22⋊C4C23×C43semidirect
1223. C2×C22⋊C4C23×C43semidirect
1224. C2×C42C23×C43semidirect
1225. C2×C42C23×C43semidirect
1450. C23H(5,𝔽2)×C43semidirect
1498. D4H(5,𝔽2)×C43semidirect

Maximal subgroups

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

subgroupindex
C43×#35582
C43×#35432
C43×#35422
C43×#35372
C43×#35342
C43×#35322
C43×#35192
C43×#35132
C43×#35052
C43×#34962
C43×#34902
C43×#34882
C43×#34842
C2×C43×#5462
C2×D42×C432
C43×#34592
C2×C43×#5342
#6289243