Finite Group Databasebeta

← #11635134

Subgroups — #11635134

Order 768.

3752 conjugacy classes of subgroups.

The subgroup lattice has 2104 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5676C211yesmaximal, characteristic, complemented
2C2×#5668C211yesmaximal, characteristic, complemented
3C2×#5591C211yesmaximal, characteristic, complemented
4C2×#5590C211yesmaximal, characteristic, complemented
5C3×#2670C211yesmaximal, characteristic, complemented
6#82983C211yesmaximal, characteristic, complemented
7#82967C211yesmaximal, characteristic, complemented
8#82588C211yesmaximal, characteristic, complemented
9#82586C211yesmaximal, characteristic, complemented
10#77114C211yesmaximal, characteristic, complemented
11#77114C211yesmaximal, characteristic, complemented
12#76906C211yesmaximal, characteristic, complemented
13#76898C211yesmaximal, characteristic, complemented
14#76863C211yesmaximal, characteristic, complemented
15#76783C211yesmaximal, characteristic, complemented
16#76755C211yesmaximal, characteristic, complemented
17#76754C211yesmaximal, characteristic, complemented
18#76688C211yesmaximal, characteristic, complemented
19#76677C211yesmaximal, characteristic, complemented
20#76673C211yesmaximal, characteristic, complemented
21#76671C211yesmaximal, characteristic, complemented
22#76442C211yesmaximal, characteristic, complemented
23D3×#390C211yesmaximal, characteristic, complemented
24#76378C211yesmaximal, characteristic, complemented
25#76306C211yesmaximal, characteristic, complemented
26#75913C211yesmaximal, characteristic, complemented
27#75503C211yesmaximal, characteristic, complemented
28#75477C211yesmaximal, characteristic, complemented
29#75453C211yesmaximal, characteristic, complemented
30#73854C211yesmaximal, characteristic, complemented
31#73850C211yesmaximal, characteristic, complemented
32#59095—31nomaximal, Sylow
33C23×#67C2211yescharacteristic
34C23×#67C2211yescharacteristic
35C22×#239C2211yescharacteristic, complemented
36C22×#237C2211yescharacteristic, complemented
37C22×D3×D4C2211yescharacteristic
38C22×D3×D4C2211yescharacteristic
39C2×C3×#124C2211yescharacteristic, complemented
40C2×C3×#124C2211yescharacteristic, complemented
41C2×C3×#120C2211yescharacteristic
42C2×C3×#120C2211yescharacteristic, complemented
43C2×#953C2211yescharacteristic, complemented
44C22×#217C2211yescharacteristic, complemented
45C2×#946C2211yescharacteristic, complemented
46C2×#944C2211yescharacteristic, complemented
47C2×#940C2211yescharacteristic
48C2×#940C2211yescharacteristic
49C2×#940C2211yescharacteristic, complemented
50C2×#940C2211yescharacteristic, complemented
51C2×#939C2211yescharacteristic
52C2×#939C2211yescharacteristic
53C2×#939C2211yescharacteristic, complemented
54C2×#939C2211yescharacteristic, complemented
55C2×#939C2211yescharacteristic, complemented
56C2×#939C2211yescharacteristic, complemented
57C2×#938C2211yescharacteristic
58C2×#938C2211yescharacteristic, complemented
59C2×#937C2211yescharacteristic
60C2×#937C2211yescharacteristic, complemented
61C2×#937C2211yescharacteristic, complemented
62C2×#937C2211yescharacteristic, complemented
63C2×D4×Dic3C2211yescharacteristic, complemented
64#5676—28no—
65#5668—28no—
66#5591—28no—
67#5590—28no—
68C2×D3×C4⋊C4C2211yescharacteristic, complemented
69C2×#886C2211yescharacteristic, complemented
70C2×#885C2211yescharacteristic, complemented
71C2×#884C2211yescharacteristic
72C2×#884C2211yescharacteristic
73C2×#884C2211yescharacteristic
74C2×#884C2211yescharacteristic, complemented
75C2×#884C2211yescharacteristic, complemented
76C2×#884C2211yescharacteristic, complemented
77C2×#884C2211yescharacteristic, complemented
78C2×#884C2211yescharacteristic, complemented
79C2×#883C2211yescharacteristic
80C2×#883C2211yescharacteristic, complemented
81C2×#882C2211yescharacteristic
82C2×#882C2211yescharacteristic
83C2×#882C2211yescharacteristic, complemented
84C2×#882C2211yescharacteristic, complemented
85C2×#882C2211yescharacteristic, complemented
86C2×#67⋊C4C2211yescharacteristic
87C2×#67⋊C4C2211yescharacteristic
88C2×#67⋊C4C2211yescharacteristic, complemented
89C2×#67⋊C4C2211yescharacteristic, complemented
90C2×#67⋊C4C2211yescharacteristic, complemented
91C2×#67⋊C4C2211yescharacteristic, complemented
92C2×#67⋊C4C2211yescharacteristic, complemented
93C2×#67⋊C4C2211yescharacteristic, complemented
94C2×D3×C22⋊C4C2211yescharacteristic, complemented
95C2×D3×C22⋊C4C2211yescharacteristic, complemented
96C2×D3×C22⋊C4C2211yescharacteristic, complemented
97C2×D3×C22⋊C4C2211yescharacteristic, complemented
98C2×D3×C22⋊C4C2211yescharacteristic, complemented
99C2×#878C2211yescharacteristic, complemented
100C2×#875C2211yescharacteristic, complemented
101C2×C4×D12C2211yescharacteristic, complemented
102C2×C4×D12C2211yescharacteristic, complemented
103C2×C42×D3C2211yescharacteristic, complemented
104C3×#394C2211yescharacteristic, complemented
105C3×#394C2211yescharacteristic, complemented
106C3×#393C2211yescharacteristic, complemented
107C3×#392C2211yescharacteristic, complemented
108C3×#392C2211yescharacteristic, complemented
109C3×#392C2211yescharacteristic, complemented
110C3×#390C2211yescharacteristic, complemented
111C3×#390C2211yescharacteristic, complemented
112C3×#388C2211yescharacteristic, complemented
113C3×#388C2211yescharacteristic, complemented
114C3×#379C2211yescharacteristic, complemented
115#5231C2211yescharacteristic, complemented
116#5223C2211yescharacteristic, complemented
117#5223C2211yescharacteristic, complemented
118#5223C2211yescharacteristic, complemented
119#5223C2211yescharacteristic, complemented
120#5222C2211yescharacteristic, complemented
121#5221C2211yescharacteristic, complemented
122#5220C2211yescharacteristic, complemented
123#5220C2211yescharacteristic, complemented
124#4994C2211yescharacteristic, complemented
125#4991C2211yescharacteristic, complemented
126#4989C2211yescharacteristic, complemented
127#4989C2211yescharacteristic, complemented
128#4988C2211yescharacteristic, complemented
129#4988C2211yescharacteristic, complemented
130Dic3×C4⋊C4C2211yescharacteristic, complemented
131#4961C2211yescharacteristic, complemented
132#4961C2211yescharacteristic, complemented
133#4961C2211yescharacteristic, complemented
134#4960C2211yescharacteristic, complemented
135#4960C2211yescharacteristic, complemented
136#4960C2211yescharacteristic, complemented
137#4960C2211yescharacteristic, complemented
138#4960C2211yescharacteristic, complemented
139#4959C2211yescharacteristic, complemented
140#4959C2211yescharacteristic, complemented
141#4959C2211yescharacteristic, complemented
142#4958C2211yescharacteristic, complemented
143#4958C2211yescharacteristic, complemented
144#4958C2211yescharacteristic, complemented
145#4958C2211yescharacteristic, complemented
146#4957C2211yescharacteristic
147#4957C2211yescharacteristic
148#4957C2211yescharacteristic
149#4957C2211yescharacteristic, complemented
150#4957C2211yescharacteristic, complemented
151#4957C2211yescharacteristic, complemented
152#4957C2211yescharacteristic, complemented
153#4957C2211yescharacteristic, complemented
154#4956C2211yescharacteristic
155#4956C2211yescharacteristic, complemented
156#4956C2211yescharacteristic, complemented
157#4956C2211yescharacteristic, complemented
158#4956C2211yescharacteristic, complemented
159#4956C2211yescharacteristic, complemented
160#4956C2211yescharacteristic, complemented
161#4955C2211yescharacteristic, complemented
162#4950C2211yescharacteristic, complemented
163#4948C2211yescharacteristic, complemented
164#4948C2211yescharacteristic, complemented
165#4947C2211yescharacteristic, complemented
166#4946C2211yescharacteristic, complemented
167#4944C2211yescharacteristic, complemented
168#4944C2211yescharacteristic, complemented
169#4942C2211yescharacteristic, complemented
170Dic3×C22⋊C4C2211yescharacteristic, complemented
171Dic3×C22⋊C4C2211yescharacteristic, complemented
172#4940C2211yescharacteristic, complemented
173#4939C2211yescharacteristic, complemented
174#4933C2211yescharacteristic, complemented
175C4×Dic3⋊C4C2211yescharacteristic, complemented
176#4676C2211yescharacteristic, complemented
177#4673C2211yescharacteristic, complemented
178#4671C2211yescharacteristic, complemented
179#4671C2211yescharacteristic, complemented
180#4670C2211yescharacteristic, complemented
181#4668C2211yescharacteristic, complemented
182#4666C2211yescharacteristic, complemented
183#4665C2211yescharacteristic, complemented
184#4665C2211yescharacteristic, complemented
185#4665C2211yescharacteristic, complemented
186#4665C2211yescharacteristic, complemented
187#4664C2211yescharacteristic, complemented
188#4653C2211yescharacteristic, complemented
189#4649C2211yescharacteristic, complemented
190#4647C2211yescharacteristic, complemented
191#4647C2211yescharacteristic, complemented
192C2×#546—31no—
193C2×#546—31no—
194C2×D42—31no—
195C2×#532—31no—
196#2676—31no—
197#2676—31no—
198#2670—31no—
199#2670D311yescharacteristic, complemented
200#2541—31no—
201#2491—31no—
202#2456—31no—
203#2456—31no—
204#2452—31no—
205#2445—31no—
206#2433—31no—
207#2433—31no—
208#2428—31no—
209#2424—31no—
210#2424—31no—
211#2424—31no—
212#2424—31no—
213#2416—31no—
214#2410—31no—
215#2410—31no—
216#2404—31no—
217#2404—31no—
218#2366—31no—
219#2361—31no—
220D4×C22⋊C4—31no—
221C4×#123—31no—
222C2×#390—31no—
223C25×C3C2311yescharacteristic
224C24×D3C2311yescharacteristic
225C24×D3C2311yescharacteristic
226C24×D3C2311yescharacteristic
227C22×C3×Q8C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C22×C3×D4C2311yescharacteristic
232C22×C3×D4C2311yescharacteristic
233C22×C3×D4C2311yescharacteristic
234C22×C3×D4C2311yescharacteristic
235C22×#67—24no—
236C22×#67—24no—
237C22×#67—24no—
238C22×#67—24no—
239C22×#67—42no—
240C22×#67—42no—
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C22×#67C2311yescharacteristic
250C22×#67C2311yescharacteristic
251C22×#67C2311yescharacteristic
252C22×#67C2311yescharacteristic
253C22×#67C2311yescharacteristic
254C22×#67C2311yescharacteristic
255C22×#67C2311yescharacteristic
256C22×#67C2311yescharacteristic
257C22×#67C2311yescharacteristic
258C22×#67C2311yescharacteristic
259C22×#67C2311yescharacteristic
260C23×Dic3C2311yescharacteristic
261C23×Dic3C2311yescharacteristic
262C23×Dic3C2311yescharacteristic
263C23×Dic3C2311yescharacteristic
264C23×Dic3C2311yescharacteristic
265C2×#239—24no—
266C2×#239—24no—
267C2×#239—42no—
268C2×#237—24no—
269C2×#237—24no—
270C2×#237—42no—
271C2×D3×D4—24no—
272C2×D3×D4—24no—
273C2×D3×D4—24no—
274C2×D3×D4—24no—
275C2×D3×D4—42no—
276C2×D3×D4—42no—
277C22×D12C2311yescharacteristic
278C22×D12C2311yescharacteristic
279C22×D12C2311yescharacteristic
280C22×D12C2311yescharacteristic
281C22×D12C2311yescharacteristic
282C22×D12C2311yescharacteristic
283C22×D12C2311yescharacteristic
284C22×C4×D3C2311yescharacteristic
285C22×C4×D3C2311yescharacteristic
286C22×C4×D3C2311yescharacteristic
287C22×C4×D3C2311yescharacteristic
288C22×C4×D3C2311yescharacteristic
289C22×C4×D3C2311yescharacteristic
290C22×C4×D3C2311yescharacteristic
291C22×C4×D3C2311yescharacteristic
292C22×C4×D3C2311yescharacteristic
293C22×Dic6C2311yescharacteristic
294C3×#124—24no—
295C3×#124—24no—
296C3×#120—24no—
297C3×#120—24no—
298C2×C3×C4⋊C4C2311yescharacteristic
299C2×C3×C4⋊C4C2311yescharacteristic
300C2×C3×C22⋊C4C2311yescharacteristic
301C2×C3×C22⋊C4C2311yescharacteristic
302C2×C3×C22⋊C4C2311yescharacteristic
303C2×C3×C22⋊C4C2311yescharacteristic
304C2×C3×C22⋊C4C2311yescharacteristic
305C2×C3×C22⋊C4C2311yescharacteristic
306C2×C3×C22⋊C4C2311yescharacteristic
307C2×C3×C22⋊C4C2311yescharacteristic
308C2×C3×C22⋊C4C2311yescharacteristic
309C2×C3×C22⋊C4C2311yescharacteristic
310C2×C3×C22⋊C4C2311yescharacteristic
311C2×C3×C22⋊C4C2311yescharacteristic
312C2×C3×C22⋊C4C2311yescharacteristic
313C2×C3×C22⋊C4C2311yescharacteristic
314C2×C3×C22⋊C4C2311yescharacteristic
315C2×C3×C22⋊C4C2311yescharacteristic
316C2×C3×C22⋊C4C2311yescharacteristic
317C2×C3×C22⋊C4C2311yescharacteristic
318C2×C3×C42C2311yescharacteristic
319C2×C3×C42C2311yescharacteristic
320#953—42no—
321C2×#217—24no—
322C2×#217C2311yescharacteristic
323C2×#217C2311yescharacteristic
324C2×#217C2311yescharacteristic
325C2×#217C2311yescharacteristic
326C2×#217C2311yescharacteristic
327C2×#217C2311yescharacteristic
328C2×#217C2311yescharacteristic
329C2×#217C2311yescharacteristic
330C2×#217C2311yescharacteristic
331C2×#217C2311yescharacteristic
332C2×#217C2311yescharacteristic
333C2×#217C2311yescharacteristic
334C2×#217C2311yescharacteristic
335#946—24no—
336#944—24no—
337#940—24no—
338#940—24no—
339#940—24no—
340#940—42no—
341#939—24no—
342#939—24no—
343#939—24no—
344#939—24no—
345#939—42no—
346#939—42no—
347#938—24no—
348#938—24no—
349#937—24no—
350#937—24no—
351#937—42no—
352#937—42no—
353D4×Dic3—24no—
354C2×(C2×D3)⋊C4C2311yescharacteristic
355C2×(C2×D3)⋊C4C2311yescharacteristic
356C2×(C2×D3)⋊C4C2311yescharacteristic
357C2×(C2×D3)⋊C4C2311yescharacteristic
358C2×(C2×D3)⋊C4C2311yescharacteristic
359C2×(C2×D3)⋊C4C2311yescharacteristic
360C2×(C2×D3)⋊C4C2311yescharacteristic
361C2×(C2×D3)⋊C4C2311yescharacteristic
362C2×(C2×D3)⋊C4C2311yescharacteristic
363C2×(C2×D3)⋊C4C2311yescharacteristic
364C2×(C2×D3)⋊C4C2311yescharacteristic
365C2×(C2×D3)⋊C4C2311yescharacteristic
366C2×(C2×D3)⋊C4C2311yescharacteristic
367C2×(C2×D3)⋊C4C2311yescharacteristic
368C2×(C2×D3)⋊C4C2311yescharacteristic
369C2×(C2×D3)⋊C4C2311yescharacteristic
370C2×(C2×D3)⋊C4C2311yescharacteristic
371C2×(C2×D3)⋊C4C2311yescharacteristic
372C2×(C2×D3)⋊C4C2311yescharacteristic
373C2×(C2×D3)⋊C4C2311yescharacteristic
374C2×(C2×D3)⋊C4C2311yescharacteristic
375C2×(C2×D3)⋊C4C2311yescharacteristic
376C2×(C2×D3)⋊C4C2311yescharacteristic
377C2×(C2×D3)⋊C4C2311yescharacteristic
378C2×(C2×D3)⋊C4C2311yescharacteristic
379C2×(C2×D3)⋊C4C2311yescharacteristic
380C2×(C2×D3)⋊C4C2311yescharacteristic
381C2×C4⋊Dic3C2311yescharacteristic
382C2×C4⋊Dic3C2311yescharacteristic
383C2×C4⋊Dic3C2311yescharacteristic
384C2×C4⋊Dic3C2311yescharacteristic
385C2×Dic3⋊C4C2311yescharacteristic
386C2×Dic3⋊C4C2311yescharacteristic
387C2×Dic3⋊C4C2311yescharacteristic
388C2×Dic3⋊C4C2311yescharacteristic
389C2×Dic3⋊C4C2311yescharacteristic
390C2×Dic3⋊C4C2311yescharacteristic
391C2×Dic3⋊C4C2311yescharacteristic
392C2×Dic3⋊C4C2311yescharacteristic
393C2×Dic3⋊C4C2311yescharacteristic
394C2×Dic3⋊C4C2311yescharacteristic
395C2×Dic3⋊C4C2311yescharacteristic
396C2×C4×Dic3C2311yescharacteristic
397C2×C4×Dic3C2311yescharacteristic
398C2×C4×Dic3C2311yescharacteristic
399C2×C4×Dic3C2311yescharacteristic
400C2×C4×Dic3C2311yescharacteristic
401C2×C4×Dic3C2311yescharacteristic
402C2×C4×Dic3C2311yescharacteristic
403D3×C4⋊C4—42no—
404#886—24no—
405#885—24no—
406#884—24no—
407#884—24no—
408#884—24no—
409#884—24no—
410#884—24no—
411#884—24no—
412#884—42no—
413#884D418yescomplemented
414#883—24no—
415#883D418yescomplemented
416#882—24no—
417#882—24no—
418#882—24no—
419#882—24no—
420#882—42no—
421#67⋊C4—24no—
422#67⋊C4—24no—
423#67⋊C4—24no—
424#67⋊C4—24no—
425#67⋊C4—24no—
426#67⋊C4—24no—
427#67⋊C4—24no—
428#67⋊C4—42no—
429D3×C22⋊C4—24no—
430D3×C22⋊C4—24no—
431D3×C22⋊C4—24no—
432D3×C22⋊C4—42no—
433D3×C22⋊C4—42no—
434#878—24no—
435#875—24no—
436C4×D12—24no—
437C4×D12—24no—
438C42×D3—24no—
439C3×#95C2311yescharacteristic
440C3×#95C2311yescharacteristic
441C3×#95C2311yescharacteristic
442C3×#95C2311yescharacteristic
443C3⋊#95C2311yescharacteristic
444C3⋊#95C2311yescharacteristic
445C3⋊#95C2311yescharacteristic
446C3⋊#95C2311yescharacteristic
447C3⋊#95C2311yescharacteristic
448C3⋊#95C2311yescharacteristic
449C3⋊#95C2311yescharacteristic
450C3⋊#95C2311yescharacteristic
451C3⋊#95C2311yescharacteristic
452C3⋊#95C2311yescharacteristic
453C3⋊#95C2311yescharacteristic
454C3⋊#95C2311yescharacteristic
455C3⋊#95C2311yescharacteristic
456C3⋊#95C2311yescharacteristic
457C22×#41—31no—
458C22×#41—31no—
459C23×D4—31no—
460C23×D4—31no—
461C23×D4—31no—
462C23×D4—31no—
463#546—68no—
464#546—68no—
465D42—68no—
466#532—68no—
467C2×C4⋊Q8—31no—
468C2×#127—31no—
469C2×#127—31no—
470C2×#127—31no—
471C2×#127—31no—
472C2×#124—31no—
473C2×#124—31no—
474C2×#124C2×D311yescharacteristic, complemented
475C2×#124C2×D311yescharacteristic, complemented
476C2×#123—31no—
477C2×#123—31no—
478C2×#123—31no—
479C2×C22⋊Q8—31no—
480C2×C22⋊Q8—31no—
481C2×#121—31no—
482C2×#121—31no—
483C2×#121—31no—
484C2×#121—31no—
485C2×#121—31no—
486C2×#121—31no—
487C2×#121—31no—
488C2×#121—31no—
489C2×#121—31no—
490C2×#121—31no—
491C2×#121—31no—
492C2×#121—31no—
493C2×#121—31no—
494C2×#121—31no—
495C2×#121—31no—
496C2×#121—31no—
497C2×#120—31no—
498C2×#120—31no—
499C2×#120—31no—
500C2×#120—31no—
501C2×#120—31no—
502C2×#120—31no—
503C2×#120—31no—
504C2×#120—31no—
505C2×#120—31no—
506C2×#120—31no—
507C2×#120C2×D311yescharacteristic
508C2×#120C2×D311yescharacteristic, complemented
509C2×C4×D4—31no—
510C2×C4×D4—31no—
511C2×C4×D4—31no—
512C2×C4×D4—31no—
513C2×C4×D4—31no—
514C2×C4×D4—31no—
515C2×C4×D4—31no—
516C2×C4×D4—31no—
517C2×C4×D4—31no—
518C2×C4×D4—31no—
519C2×C4×D4—31no—
520C22×C4⋊C4—31no—
521C22×C22⋊C4—31no—
522C22×C22⋊C4—31no—
523C22×C22⋊C4—31no—
524C22×C22⋊C4—31no—
525C22×C22⋊C4—31no—
526C22×C22⋊C4—31no—
527C22×C42—31no—
528#396—31no—
529#396—31no—
530#396—31no—
531#396—31no—
532#394—31no—
533#394—31no—
534#394—31no—
535#394—31no—
536#394—31no—
537#394—31no—
538#394—31no—
539#394—31no—
540#394C2×D311yescharacteristic, complemented
541#394C2×D311yescharacteristic, complemented
542#393—31no—
543#393—31no—
544#393—31no—
545#393C2×D311yescharacteristic, complemented
546#392—31no—
547#392—31no—
548#392—31no—
549#392—31no—
550#392—31no—
551#392—31no—
552#392—31no—
553#392—31no—
554#392—31no—
555#392—31no—
556#392—31no—
557#392C2×D311yescharacteristic, complemented
558#392C2×D311yescharacteristic, complemented
559#392C2×D311yescharacteristic, complemented
560#390—31no—
561#390—31no—
562#390—31no—
563#390—31no—
564#390—31no—
565#390—31no—
566#390—31no—
567#390—31no—
568#390—31no—
569#390—31no—
570#390—31no—
571#390—31no—
572#390C2×D311yescharacteristic, complemented
573#390C2×D311yescharacteristic, complemented
574#389—31no—
575#389—31no—
576#388—31no—
577#388—31no—
578#388—31no—
579#388—31no—
580#388C2×D311yescharacteristic, complemented
581#388C2×D311yescharacteristic, complemented
582#387—31no—
583#387—31no—
584#386—31no—
585#386—31no—
586#386—31no—
587#386—31no—
588#386—31no—
589#386—31no—
590#386—31no—
591#386—31no—
592#386—31no—
593#386—31no—
594#386—31no—
595#386—31no—
596#386—31no—
597#386—31no—
598#386—31no—
599#386—31no—
600#386—31no—
601#385—31no—
602#385—31no—
603#385—31no—
604#385—31no—
605#385—31no—
606#381—31no—
607#380—31no—
608#379—31no—
609#379C2×D311yescharacteristic, complemented
610C4×C4⋊C4—31no—
611C4×C4⋊C4—31no—
612C4×C4⋊C4—31no—
613C4×C22⋊C4—31no—
614C4×C22⋊C4—31no—
615C4×C22⋊C4—31no—
616C24×C3—22no—
617C24×C3—22no—
618C24×C3—22no—
619C24×C3—41no—
620C24×C3—41no—
621C24×C3—41no—
622C24×C3—41no—
623C24×C3C2411yescharacteristic
624C24×C3C2411yescharacteristic
625C24×C3C2411yescharacteristic
626C24×C3C2411yescharacteristic
627C24×C3C2411yescharacteristic
628C23×D3—22no—
629C23×D3—22no—
630C23×D3—22no—
631C23×D3—22no—
632C23×D3—22no—
633C23×D3—22no—
634C23×D3—22no—
635C23×D3—22no—
636C23×D3—22no—
637C23×D3—22no—
638C23×D3—22no—
639C23×D3—41no—
640C23×D3—41no—
641C23×D3—41no—
642C23×D3—41no—
643C23×D3—41no—
644C23×D3—41no—
645C23×D3—41no—
646C23×D3—41no—
647C23×D3—41no—
648C23×D3—41no—
649C23×D3C2411yescharacteristic
650C23×D3C2411yescharacteristic
651C23×D3C2411yescharacteristic
652C23×D3C2411yescharacteristic
653C23×D3C2411yescharacteristic
654C2×C3×Q8—22no—
655C2×C3×Q8—22no—
656C2×C3×Q8—41no—
657C2×C3×D4—22no—
658C2×C3×D4—22no—
659C2×C3×D4—22no—
660C2×C3×D4—22no—
661C2×C3×D4—22no—
662C2×C3×D4—22no—
663C2×C3×D4—22no—
664C2×C3×D4—22no—
665C2×C3×D4—22no—
666C2×C3×D4—22no—
667C2×C3×D4—41no—
668C2×C3×D4—41no—
669C2×C3×D4—41no—
670C2×C3×D4—41no—
671C2×C3×D4—41no—
672C2×C3×D4—41no—
673C2×C3×D4—41no—
674C2×C3×D4—41no—
675C2×C3×D4—41no—
676C2×C3×D4—41no—
677C2×C3×D4—41no—
678C22×C3×C4C2411yescharacteristic
679C22×C3×C4C2411yescharacteristic
680C22×C3×C4C2411yescharacteristic
681C22×C3×C4C2411yescharacteristic
682C22×C3×C4C2411yescharacteristic
683C22×C3×C4C2411yescharacteristic
684C22×C3×C4C2411yescharacteristic
685C22×C3×C4C2411yescharacteristic
686C22×C3×C4C2411yescharacteristic
687C22×C3×C4C2411yescharacteristic
688C2×#67—22no—
689C2×#67—22no—
690C2×#67—22no—
691C2×#67—22no—
692C2×#67—22no—
693C2×#67—22no—
694C2×#67—22no—
695C2×#67—22no—
696C2×#67—22no—
697C2×#67—22no—
698C2×#67—22no—
699C2×#67—22no—
700C2×#67—22no—
701C2×#67—22no—
702C2×#67—22no—
703C2×#67—22no—
704C2×#67—22no—
705C2×#67—22no—
706C2×#67—22no—
707C2×#67—22no—
708C2×#67—22no—
709C2×#67—22no—
710C2×#67—22no—
711C2×#67—22no—
712C2×#67—22no—
713C2×#67—22no—
714C2×#67—22no—
715C2×#67—22no—
716C2×#67—22no—
717C2×#67—22no—
718C2×#67—22no—
719C2×#67—22no—
720C2×#67—22no—
721C2×#67—22no—
722C2×#67—22no—
723C2×#67—22no—
724C2×#67—41no—
725C2×#67—41no—
726C2×#67—41no—
727C2×#67—41no—
728C2×#67—41no—
729C2×#67—41no—
730C2×#67—41no—
731C2×#67—41no—
732C2×#67—41no—
733C2×#67—41no—
734C2×#67—41no—
735C2×#67—41no—
736C2×#67—41no—
737C2×#67—41no—
738C2×#67—41no—
739C2×#67—41no—
740C2×#67—41no—
741C2×#67—416no—
742C2×#67—416no—
743C2×#67C2×D414yes—
744C2×#67C2×D414yes—
745C2×#67C2×D414yes—
746C2×#67#4114yescomplemented
747C22×Dic3—22no—
748C22×Dic3—22no—
749C22×Dic3—22no—
750C22×Dic3—22no—
751C22×Dic3—22no—
752C22×Dic3—22no—
753C22×Dic3—22no—
754C22×Dic3—22no—
755C22×Dic3—22no—
756C22×Dic3—22no—
757C22×Dic3—41no—
758C22×Dic3—41no—
759C22×Dic3—41no—
760C22×Dic3—41no—
761C22×Dic3—41no—
762C22×Dic3C2411yescharacteristic
763C22×Dic3C2411yescharacteristic
764C22×Dic3C2411yescharacteristic
765C22×Dic3C2411yescharacteristic
766C22×Dic3C2411yescharacteristic
767C22×Dic3C2411yescharacteristic
768C22×Dic3C2411yescharacteristic
769C22×Dic3C2411yescharacteristic
770C22×Dic3C2411yescharacteristic
771C22×Dic3C2411yescharacteristic
772C22×Dic3C2411yescharacteristic
773#239—416no—
774#237—416no—
775D3×D4—416no—
776D3×D4—416no—
777C2×D12—22no—
778C2×D12—22no—
779C2×D12—22no—
780C2×D12—22no—
781C2×D12—22no—
782C2×D12—22no—
783C2×D12—22no—
784C2×D12—22no—
785C2×D12—22no—
786C2×D12—22no—
787C2×D12—22no—
788C2×D12—22no—
789C2×D12—41no—
790C2×D12—41no—
791C2×D12—41no—
792C2×D12—41no—
793C2×D12—41no—
794C2×D12—41no—
795C2×D12—41no—
796C2×D12—41no—
797C2×D12C2×D414yes—
798C2×C4×D3—22no—
799C2×C4×D3—22no—
800C2×C4×D3—22no—
801C2×C4×D3—22no—
802C2×C4×D3—22no—
803C2×C4×D3—22no—
804C2×C4×D3—22no—
805C2×C4×D3—22no—
806C2×C4×D3—22no—
807C2×C4×D3—22no—
808C2×C4×D3—22no—
809C2×C4×D3—22no—
810C2×C4×D3—22no—
811C2×C4×D3—22no—
812C2×C4×D3—22no—
813C2×C4×D3—41no—
814C2×C4×D3—41no—
815C2×C4×D3—41no—
816C2×C4×D3—41no—
817C2×C4×D3—41no—
818C2×C4×D3—41no—
819C2×C4×D3—41no—
820C2×C4×D3—41no—
821C2×C4×D3—41no—
822C2×C4×D3—41no—
823C2×C4×D3C2×D414yes—
824C2×C4×D3C2×D414yescomplemented
825C2×Dic6—22no—
826C2×Dic6—22no—
827C2×Dic6—41no—
828C3×C4⋊C4—41no—
829C3×C4⋊C4—41no—
830C3×C22⋊C4—22no—
831C3×C22⋊C4—22no—
832C3×C22⋊C4—22no—
833C3×C22⋊C4—22no—
834C3×C22⋊C4—22no—
835C3×C22⋊C4—22no—
836C3×C22⋊C4—22no—
837C3×C22⋊C4—22no—
838C3×C22⋊C4—22no—
839C3×C22⋊C4—22no—
840C3×C22⋊C4—41no—
841C3×C22⋊C4—41no—
842C3×C22⋊C4—41no—
843C3×C22⋊C4—41no—
844C3×C22⋊C4—41no—
845C3×C22⋊C4—41no—
846C3×C22⋊C4C2×D414yes—
847C3×C22⋊C4C2×D414yescomplemented
848C3×C42—22no—
849C3×C42—22no—
850#217—22no—
851#217—22no—
852#217—22no—
853#217—22no—
854#217—22no—
855#217—22no—
856#217—22no—
857#217—22no—
858#217—22no—
859#217—41no—
860#217—41no—
861#217—41no—
862#217C2×D414yescomplemented
863(C2×D3)⋊C4—22no—
864(C2×D3)⋊C4—22no—
865(C2×D3)⋊C4—22no—
866(C2×D3)⋊C4—22no—
867(C2×D3)⋊C4—22no—
868(C2×D3)⋊C4—22no—
869(C2×D3)⋊C4—22no—
870(C2×D3)⋊C4—22no—
871(C2×D3)⋊C4—22no—
872(C2×D3)⋊C4—22no—
873(C2×D3)⋊C4—22no—
874(C2×D3)⋊C4—22no—
875(C2×D3)⋊C4—22no—
876(C2×D3)⋊C4—22no—
877(C2×D3)⋊C4—22no—
878(C2×D3)⋊C4—22no—
879(C2×D3)⋊C4—22no—
880(C2×D3)⋊C4—41no—
881(C2×D3)⋊C4—41no—
882(C2×D3)⋊C4—41no—
883(C2×D3)⋊C4—41no—
884(C2×D3)⋊C4—41no—
885(C2×D3)⋊C4—41no—
886(C2×D3)⋊C4—41no—
887(C2×D3)⋊C4—41no—
888(C2×D3)⋊C4C2×D414yes—
889(C2×D3)⋊C4C2×D414yescomplemented
890C4⋊Dic3—22no—
891C4⋊Dic3—22no—
892C4⋊Dic3—41no—
893C4⋊Dic3C2×D414yescomplemented
894Dic3⋊C4—22no—
895Dic3⋊C4—22no—
896Dic3⋊C4—22no—
897Dic3⋊C4—22no—
898Dic3⋊C4—22no—
899Dic3⋊C4—22no—
900Dic3⋊C4—22no—
901Dic3⋊C4—22no—
902Dic3⋊C4—22no—
903Dic3⋊C4C2×D414yes—
904Dic3⋊C4C2×D414yescomplemented
905C4×Dic3—22no—
906C4×Dic3—22no—
907C4×Dic3—22no—
908C4×Dic3—22no—
909C4×Dic3—22no—
910C4×Dic3—22no—
911C4×Dic3—22no—
912C25—31no—
913C25—31no—
914C25—31no—
915C25C22×D311yescharacteristic
916C2×#41—64no—
917C2×#41—64no—
918C2×#41—64no—
919C2×#41—64no—
920C2×#41—122no—
921C2×#41—122no—
922C22×Q8—31no—
923C22×Q8C22×D311yescharacteristic
924C22×D4—31no—
925C22×D4—31no—
926C22×D4—31no—
927C22×D4—31no—
928C22×D4—31no—
929C22×D4—31no—
930C22×D4—31no—
931C22×D4—31no—
932C22×D4—31no—
933C22×D4—31no—
934C22×D4—31no—
935C22×D4—31no—
936C22×D4—31no—
937C22×D4—31no—
938C22×D4—31no—
939C22×D4—31no—
940C22×D4—31no—
941C22×D4—31no—
942C22×D4—31no—
943C22×D4—31no—
944C22×D4—31no—
945C22×D4—31no—
946C22×D4—31no—
947C22×D4—31no—
948C22×D4—31no—
949C22×D4—31no—
950C22×D4—64no—
951C22×D4—64no—
952C22×D4—64no—
953C22×D4—64no—
954C22×D4—64no—
955C22×D4—64no—
956C22×D4—64no—
957C22×D4—64no—
958C22×D4—122no—
959C22×D4—122no—
960C22×D4—122no—
961C22×D4—122no—
962C22×D4C22×D311yescharacteristic
963C22×D4C22×D311yescharacteristic
964C22×D4C22×D311yescharacteristic
965C22×D4C22×D311yescharacteristic
966C22×D4C22×D311yescharacteristic
967C22×D4C22×D311yescharacteristic
968C22×D4C22×D311yescharacteristic
969C23×C4—31no—
970C23×C4—31no—
971C23×C4—31no—
972C23×C4—31no—
973C23×C4—31no—
974C23×C4—31no—
975C23×C4—31no—
976C23×C4—31no—
977C23×C4—31no—
978C23×C4—31no—
979C23×C4—31no—
980C23×C4—31no—
981C23×C4—31no—
982C23×C4—31no—
983C4⋊Q8—64no—
984#127—64no—
985#127—64no—
986#127—64no—
987#127—122no—
988#124—24no—
989#124—24no—
990#124—64no—
991#124—64no—
992#123—38no—
993#123—64no—
994#123—64no—
995C22⋊Q8—64no—
996C22⋊Q8—64no—
997#121—38no—
998#121—64no—
999#121—64no—
1000#121—64no—
1001#121—64no—
1002#121—64no—
1003#121—64no—
1004#121—64no—
1005#121—64no—
1006#121—64no—
1007#121—64no—
1008#121—64no—
1009#121—64no—
1010#121—122no—
1011#121—122no—
1012#121—122no—
1013#120—24no—
1014#120—24no—
1015#120—64no—
1016#120—64no—
1017#120—64no—
1018#120—64no—
1019#120—64no—
1020#120—64no—
1021#120—122no—
1022#120—122no—
1023#120—122no—
1024#120—122no—
1025C4×D4—64no—
1026C4×D4—64no—
1027C4×D4—64no—
1028C4×D4—64no—
1029C4×D4—64no—
1030C4×D4—64no—
1031C4×D4—64no—
1032C4×D4—64no—
1033C4×D4—64no—
1034C4×D4—64no—
1035C4×D4—122no—
1036C2×C4⋊C4—31no—
1037C2×C4⋊C4—31no—
1038C2×C4⋊C4—31no—
1039C2×C4⋊C4—31no—
1040C2×C4⋊C4—31no—
1041C2×C4⋊C4—31no—
1042C2×C4⋊C4—31no—
1043C2×C4⋊C4—31no—
1044C2×C4⋊C4—31no—
1045C2×C4⋊C4—31no—
1046C2×C4⋊C4—31no—
1047C2×C4⋊C4—31no—
1048C2×C4⋊C4—31no—
1049C2×C4⋊C4—31no—
1050C2×C4⋊C4—31no—
1051C2×C4⋊C4—122no—
1052C2×C4⋊C4C22×D311yescharacteristic
1053C2×C4⋊C4C22×D311yescharacteristic
1054C2×C22⋊C4—31no—
1055C2×C22⋊C4—31no—
1056C2×C22⋊C4—31no—
1057C2×C22⋊C4—31no—
1058C2×C22⋊C4—31no—
1059C2×C22⋊C4—31no—
1060C2×C22⋊C4—31no—
1061C2×C22⋊C4—31no—
1062C2×C22⋊C4—31no—
1063C2×C22⋊C4—31no—
1064C2×C22⋊C4—31no—
1065C2×C22⋊C4—31no—
1066C2×C22⋊C4—31no—
1067C2×C22⋊C4—31no—
1068C2×C22⋊C4—31no—
1069C2×C22⋊C4—31no—
1070C2×C22⋊C4—31no—
1071C2×C22⋊C4—31no—
1072C2×C22⋊C4—31no—
1073C2×C22⋊C4—31no—
1074C2×C22⋊C4—31no—
1075C2×C22⋊C4—31no—
1076C2×C22⋊C4—31no—
1077C2×C22⋊C4—31no—
1078C2×C22⋊C4—31no—
1079C2×C22⋊C4—31no—
1080C2×C22⋊C4—31no—
1081C2×C22⋊C4—31no—
1082C2×C22⋊C4—31no—
1083C2×C22⋊C4—31no—
1084C2×C22⋊C4—31no—
1085C2×C22⋊C4—31no—
1086C2×C22⋊C4—31no—
1087C2×C22⋊C4—31no—
1088C2×C22⋊C4—31no—
1089C2×C22⋊C4—31no—
1090C2×C22⋊C4—31no—
1091C2×C22⋊C4—31no—
1092C2×C22⋊C4—31no—
1093C2×C22⋊C4—31no—
1094C2×C22⋊C4—64no—
1095C2×C22⋊C4—64no—
1096C2×C22⋊C4—64no—
1097C2×C22⋊C4—64no—
1098C2×C22⋊C4—122no—
1099C2×C22⋊C4—122no—
1100C2×C22⋊C4C22×D311yescharacteristic
1101C2×C22⋊C4C22×D311yescharacteristic
1102C2×C22⋊C4C22×D311yescharacteristic
1103C2×C22⋊C4C22×D311yescharacteristic
1104C2×C22⋊C4C22×D311yescharacteristic
1105C2×C22⋊C4C22×D311yescharacteristic
1106C2×C22⋊C4C22×D311yescharacteristic
1107C2×C22⋊C4C22×D311yescharacteristic
1108C2×C22⋊C4C22×D311yescharacteristic
1109C2×C22⋊C4C22×D311yescharacteristic
1110C2×C22⋊C4C22×D311yescharacteristic
1111C2×C22⋊C4C22×D311yescharacteristic
1112C2×C22⋊C4C22×D311yescharacteristic
1113C2×C22⋊C4C22×D311yescharacteristic
1114C2×C22⋊C4C22×D311yescharacteristic
1115C2×C22⋊C4C22×D311yescharacteristic
1116C2×C22⋊C4C22×D311yescharacteristic
1117C2×C22⋊C4C22×D311yescharacteristic
1118C2×C42—31no—
1119C2×C42—31no—
1120C2×C42—31no—
1121C2×C42—31no—
1122C2×C42—31no—
1123C2×C42—31no—
1124C2×C42—31no—
1125C2×C42—64no—
1126C2×C42C22×D311yescharacteristic
1127C2×C42C22×D311yescharacteristic
1128#95—31no—
1129#95—31no—
1130#95—31no—
1131#95—31no—
1132#95—31no—
1133#95—31no—
1134#95—31no—
1135#95—31no—
1136#95—31no—
1137#95—31no—
1138#95—31no—
1139#95—31no—
1140#95—31no—
1141#95—31no—
1142#95C22×D311yescharacteristic
1143#95C22×D311yescharacteristic
1144#95C22×D311yescharacteristic
1145#95C22×D311yescharacteristic
1146C23×C3—21no—
1147C23×C3—21no—
1148C23×C3—21no—
1149C23×C3—21no—
1150C23×C3—21no—
1151C23×C3—21no—
1152C23×C3—21no—
1153C23×C3—21no—
1154C23×C3—21no—
1155C23×C3—21no—
1156C23×C3—21no—
1157C23×C3—21no—
1158C23×C3—21no—
1159C23×C3—21no—
1160C23×C3—21no—
1161C23×C3—21no—
1162C23×C3—21no—
1163C23×C3—21no—
1164C23×C3—21no—
1165C23×C3—21no—
1166C23×C3—21no—
1167C23×C3—21no—
1168C23×C3—21no—
1169C23×C3—21no—
1170C23×C3—21no—
1171C23×C3—21no—
1172C23×C3—21no—
1173C23×C3—21no—
1174C23×C3—21no—
1175C23×C3—21no—
1176C23×C3—21no—
1177C23×C3—21no—
1178C23×C3—44no—
1179C23×C3—44no—
1180C23×C3—44no—
1181C23×C3—82no—
1182C23×C3—82no—
1183C23×C3—82no—
1184C23×C3—82no—
1185C23×C3C22×D412yes—
1186C23×C3C22×D412yes—
1187C23×C3C2×#4112yes—
1188C23×C3C2511yescharacteristic
1189C22×D3—21no—
1190C22×D3—21no—
1191C22×D3—21no—
1192C22×D3—21no—
1193C22×D3—21no—
1194C22×D3—21no—
1195C22×D3—21no—
1196C22×D3—21no—
1197C22×D3—21no—
1198C22×D3—21no—
1199C22×D3—21no—
1200C22×D3—21no—
1201C22×D3—21no—
1202C22×D3—21no—
1203C22×D3—21no—
1204C22×D3—21no—
1205C22×D3—21no—
1206C22×D3—21no—
1207C22×D3—21no—
1208C22×D3—21no—
1209C22×D3—21no—
1210C22×D3—21no—
1211C22×D3—21no—
1212C22×D3—21no—
1213C22×D3—21no—
1214C22×D3—21no—
1215C22×D3—21no—
1216C22×D3—21no—
1217C22×D3—21no—
1218C22×D3—21no—
1219C22×D3—44no—
1220C22×D3—44no—
1221C22×D3—44no—
1222C22×D3—44no—
1223C22×D3—44no—
1224C22×D3—44no—
1225C22×D3—44no—
1226C22×D3—44no—
1227C22×D3—44no—
1228C22×D3—44no—
1229C22×D3—44no—
1230C22×D3—82no—
1231C22×D3—82no—
1232C22×D3—82no—
1233C22×D3—82no—
1234C22×D3—82no—
1235C22×D3—82no—
1236C22×D3—82no—
1237C22×D3—82no—
1238C22×D3—82no—
1239C22×D3—82no—
1240C22×D3C22×D412yes—
1241C22×D3C22×D412yes—
1242C22×D3C22×D412yes—
1243C22×D3C2×#4112yes—
1244C22×D3H(5,𝔽2)12yes—
1245C3×Q8—44no—
1246C3×D4—44no—
1247C3×D4—44no—
1248C3×D4—44no—
1249C3×D4—44no—
1250C3×D4—82no—
1251C3×D4—82no—
1252C3×D4—82no—
1253C2×C3×C4—21no—
1254C2×C3×C4—21no—
1255C2×C3×C4—21no—
1256C2×C3×C4—21no—
1257C2×C3×C4—21no—
1258C2×C3×C4—21no—
1259C2×C3×C4—21no—
1260C2×C3×C4—21no—
1261C2×C3×C4—21no—
1262C2×C3×C4—21no—
1263C2×C3×C4—21no—
1264C2×C3×C4—21no—
1265C2×C3×C4—21no—
1266C2×C3×C4—21no—
1267C2×C3×C4—21no—
1268C2×C3×C4—21no—
1269C2×C3×C4—21no—
1270C2×C3×C4—21no—
1271C2×C3×C4—21no—
1272C2×C3×C4—21no—
1273C2×C3×C4—21no—
1274C2×C3×C4—21no—
1275C2×C3×C4—21no—
1276C2×C3×C4—21no—
1277C2×C3×C4—21no—
1278C2×C3×C4—21no—
1279C2×C3×C4C22×D412yes—
1280C2×C3×C4C22×D412yes—
1281C2×C3×C4C22×D412yes—
1282C2×C3×C4C22×D412yes—
1283#67—28no—
1284#67—28no—
1285#67—28no—
1286#67—28no—
1287#67—44no—
1288#67—44no—
1289#67—44no—
1290#67—44no—
1291#67—44no—
1292#67—44no—
1293#67—44no—
1294#67—44no—
1295#67—44no—
1296#67—44no—
1297#67—82no—
1298#67—82no—
1299#67—82no—
1300#67—82no—
1301#67—82no—
1302C2×Dic3—21no—
1303C2×Dic3—21no—
1304C2×Dic3—21no—
1305C2×Dic3—21no—
1306C2×Dic3—21no—
1307C2×Dic3—21no—
1308C2×Dic3—21no—
1309C2×Dic3—21no—
1310C2×Dic3—21no—
1311C2×Dic3—21no—
1312C2×Dic3—21no—
1313C2×Dic3—21no—
1314C2×Dic3—21no—
1315C2×Dic3—21no—
1316C2×Dic3—21no—
1317C2×Dic3—21no—
1318C2×Dic3—21no—
1319C2×Dic3—21no—
1320C2×Dic3—21no—
1321C2×Dic3—21no—
1322C2×Dic3—21no—
1323C2×Dic3—21no—
1324C2×Dic3—21no—
1325C2×Dic3—21no—
1326C2×Dic3—21no—
1327C2×Dic3—44no—
1328C2×Dic3—44no—
1329C2×Dic3—44no—
1330C2×Dic3—44no—
1331C2×Dic3—82no—
1332C2×Dic3C22×D412yes—
1333C2×Dic3C22×D412yes—
1334C2×Dic3C22×D412yes—
1335C2×Dic3C22×D412yes—
1336C2×Dic3C22×D412yes—
1337C2×Dic3C2×#4112yes—
1338C2×Dic3H(5,𝔽2)12yes—
1339C2×Dic3H(5,𝔽2)12yes—
1340D12—28no—
1341D12—44no—
1342D12—44no—
1343D12—44no—
1344D12—44no—
1345D12—82no—
1346D12—82no—
1347C4×D3—28no—
1348C4×D3—28no—
1349C4×D3—44no—
1350C4×D3—44no—
1351C4×D3—44no—
1352C4×D3—44no—
1353C4×D3—82no—
1354C4×D3—82no—
1355C4×D3—82no—
1356Dic6—44no—
1357C24—22no—
1358C24—22no—
1359C24—22no—
1360C24—31no—
1361C24—31no—
1362C24—31no—
1363C24—31no—
1364C24—31no—
1365C24—41no—
1366C24—41no—
1367C24—41no—
1368C24—41no—
1369C24—62no—
1370C24—62no—
1371C24—62no—
1372C24—62no—
1373C24—62no—
1374C24—62no—
1375C24—62no—
1376C24—62no—
1377C24—62no—
1378C24—62no—
1379C24—62no—
1380C24—121no—
1381C24—121no—
1382C24—121no—
1383C24—121no—
1384C24—121no—
1385C24—121no—
1386C24—121no—
1387C24—121no—
1388C24—121no—
1389C24—121no—
1390C24C23×D311yescharacteristic
1391C24C23×D311yescharacteristic
1392C24C23×D311yescharacteristic
1393C24C23×D311yescharacteristic
1394C24C23×D311yescharacteristic
1395#41—1216no—
1396#41—1216no—
1397C2×Q8—22no—
1398C2×Q8—22no—
1399C2×Q8—41no—
1400C2×Q8—62no—
1401C2×Q8—62no—
1402C2×Q8—121no—
1403C2×D4—22no—
1404C2×D4—22no—
1405C2×D4—22no—
1406C2×D4—22no—
1407C2×D4—22no—
1408C2×D4—22no—
1409C2×D4—22no—
1410C2×D4—22no—
1411C2×D4—22no—
1412C2×D4—22no—
1413C2×D4—34no—
1414C2×D4—34no—
1415C2×D4—34no—
1416C2×D4—34no—
1417C2×D4—34no—
1418C2×D4—41no—
1419C2×D4—41no—
1420C2×D4—41no—
1421C2×D4—41no—
1422C2×D4—41no—
1423C2×D4—41no—
1424C2×D4—41no—
1425C2×D4—41no—
1426C2×D4—41no—
1427C2×D4—41no—
1428C2×D4—41no—
1429C2×D4—62no—
1430C2×D4—62no—
1431C2×D4—62no—
1432C2×D4—62no—
1433C2×D4—62no—
1434C2×D4—62no—
1435C2×D4—62no—
1436C2×D4—62no—
1437C2×D4—62no—
1438C2×D4—62no—
1439C2×D4—62no—
1440C2×D4—62no—
1441C2×D4—62no—
1442C2×D4—62no—
1443C2×D4—62no—
1444C2×D4—62no—
1445C2×D4—62no—
1446C2×D4—62no—
1447C2×D4—62no—
1448C2×D4—62no—
1449C2×D4—62no—
1450C2×D4—62no—
1451C2×D4—62no—
1452C2×D4—62no—
1453C2×D4—62no—
1454C2×D4—62no—
1455C2×D4—62no—
1456C2×D4—62no—
1457C2×D4—62no—
1458C2×D4—62no—
1459C2×D4—62no—
1460C2×D4—62no—
1461C2×D4—62no—
1462C2×D4—62no—
1463C2×D4—62no—
1464C2×D4—62no—
1465C2×D4—62no—
1466C2×D4—62no—
1467C2×D4—62no—
1468C2×D4—62no—
1469C2×D4—62no—
1470C2×D4—62no—
1471C2×D4—62no—
1472C2×D4—62no—
1473C2×D4—62no—
1474C2×D4—62no—
1475C2×D4—62no—
1476C2×D4—62no—
1477C2×D4—121no—
1478C2×D4—121no—
1479C2×D4—121no—
1480C2×D4—121no—
1481C2×D4—121no—
1482C2×D4—121no—
1483C2×D4—121no—
1484C2×D4—121no—
1485C2×D4—1216no—
1486C2×D4—121no—
1487C2×D4—121no—
1488C2×D4—121no—
1489C2×D4—121no—
1490C2×D4—121no—
1491C2×D4—121no—
1492C2×D4—121no—
1493C2×D4—121no—
1494C2×D4—121no—
1495C2×D4—121no—
1496C2×D4—121no—
1497C2×D4—121no—
1498C2×D4—121no—
1499C2×D4—121no—
1500C2×D4—121no—
1501C2×D4—121no—
1502C2×D4—121no—
1503C2×D4—1216no—
1504C2×D4—1216no—
1505C2×D4—1216no—
1506C22×C4—31no—
1507C22×C4—31no—
1508C22×C4—31no—
1509C22×C4—31no—
1510C22×C4—31no—
1511C22×C4—31no—
1512C22×C4—34no—
1513C22×C4—34no—
1514C22×C4—31no—
1515C22×C4—31no—
1516C22×C4—31no—
1517C22×C4—31no—
1518C22×C4—31no—
1519C22×C4—62no—
1520C22×C4—62no—
1521C22×C4—62no—
1522C22×C4—62no—
1523C22×C4—62no—
1524C22×C4—62no—
1525C22×C4—62no—
1526C22×C4—62no—
1527C22×C4—62no—
1528C22×C4—62no—
1529C22×C4—62no—
1530C22×C4—62no—
1531C22×C4—62no—
1532C22×C4—62no—
1533C22×C4—62no—
1534C22×C4—62no—
1535C22×C4—62no—
1536C22×C4—62no—
1537C22×C4—62no—
1538C22×C4—62no—
1539C22×C4—62no—
1540C22×C4—62no—
1541C22×C4—62no—
1542C22×C4—62no—
1543C22×C4—62no—
1544C22×C4—121no—
1545C22×C4—121no—
1546C22×C4—121no—
1547C22×C4—121no—
1548C22×C4—121no—
1549C22×C4—121no—
1550C22×C4—121no—
1551C22×C4—121no—
1552C22×C4—121no—
1553C22×C4—121no—
1554C22×C4—121no—
1555C22×C4—121no—
1556C22×C4—121no—
1557C22×C4—121no—
1558C22×C4—121no—
1559C22×C4C23×D311yescharacteristic
1560C22×C4C23×D311yescharacteristic
1561C22×C4C23×D311yescharacteristic
1562C22×C4C23×D311yescharacteristic
1563C22×C4C23×D311yescharacteristic
1564C22×C4C23×D311yescharacteristic
1565C22×C4C23×D311yescharacteristic
1566C22×C4C23×D311yescharacteristic
1567C22×C4C23×D311yescharacteristic
1568C22×C4C23×D311yescharacteristic
1569C4⋊C4—34no—
1570C4⋊C4—34no—
1571C4⋊C4—34no—
1572C4⋊C4—41no—
1573C4⋊C4—41no—
1574C4⋊C4—62no—
1575C4⋊C4—62no—
1576C4⋊C4—62no—
1577C4⋊C4—62no—
1578C4⋊C4—62no—
1579C4⋊C4—62no—
1580C4⋊C4—62no—
1581C4⋊C4—62no—
1582C4⋊C4—62no—
1583C4⋊C4—62no—
1584C4⋊C4—62no—
1585C4⋊C4—121no—
1586C22⋊C4—22no—
1587C22⋊C4—22no—
1588C22⋊C4—22no—
1589C22⋊C4—22no—
1590C22⋊C4—22no—
1591C22⋊C4—22no—
1592C22⋊C4—22no—
1593C22⋊C4—22no—
1594C22⋊C4—22no—
1595C22⋊C4—22no—
1596C22⋊C4—34no—
1597C22⋊C4—34no—
1598C22⋊C4—34no—
1599C22⋊C4—41no—
1600C22⋊C4—41no—
1601C22⋊C4—41no—
1602C22⋊C4—41no—
1603C22⋊C4—41no—
1604C22⋊C4—41no—
1605C22⋊C4—62no—
1606C22⋊C4—62no—
1607C22⋊C4—62no—
1608C22⋊C4—62no—
1609C22⋊C4—62no—
1610C22⋊C4—62no—
1611C22⋊C4—62no—
1612C22⋊C4—62no—
1613C22⋊C4—62no—
1614C22⋊C4—62no—
1615C22⋊C4—62no—
1616C22⋊C4—62no—
1617C22⋊C4—62no—
1618C22⋊C4—62no—
1619C22⋊C4—62no—
1620C22⋊C4—62no—
1621C22⋊C4—62no—
1622C22⋊C4—62no—
1623C22⋊C4—62no—
1624C22⋊C4—62no—
1625C22⋊C4—62no—
1626C22⋊C4—62no—
1627C22⋊C4—62no—
1628C22⋊C4—62no—
1629C22⋊C4—62no—
1630C22⋊C4—62no—
1631C22⋊C4—121no—
1632C22⋊C4—121no—
1633C22⋊C4—121no—
1634C22⋊C4—121no—
1635C22⋊C4—121no—
1636C22⋊C4—121no—
1637C22⋊C4—121no—
1638C22⋊C4—121no—
1639C22⋊C4—121no—
1640C22⋊C4—121no—
1641C22⋊C4—121no—
1642C22⋊C4D3×D414yes—
1643C22⋊C4D3×D414yescomplemented
1644C42—22no—
1645C42—22no—
1646C42—62no—
1647C42—62no—
1648C42—62no—
1649C42—62no—
1650C42—62no—
1651C42—62no—
1652C42—62no—
1653C22×C3—22no—
1654C22×C3—22no—
1655C22×C3—22no—
1656C22×C3—22no—
1657C22×C3—22no—
1658C22×C3—22no—
1659C22×C3—22no—
1660C22×C3—22no—
1661C22×C3—22no—
1662C22×C3—41no—
1663C22×C3—41no—
1664C22×C3—41no—
1665C22×C3—41no—
1666C22×C3—41no—
1667C22×C3—41no—
1668C22×C3—41no—
1669C22×C3—41no—
1670C22×C3—41no—
1671C22×C3—41no—
1672C22×C3—41no—
1673C22×C3—41no—
1674C22×C3—41no—
1675C22×C3—41no—
1676C22×C3—41no—
1677C22×C3—41no—
1678C22×C3—41no—
1679C22×C3—41no—
1680C22×C3—41no—
1681C22×C3—41no—
1682C22×C3—41no—
1683C22×C3—41no—
1684C22×C3—41no—
1685C22×C3—41no—
1686C22×C3—41no—
1687C22×C3—41no—
1688C22×C3—88no—
1689C22×C3C23×D411yescharacteristic
1690C22×C3C23×D411yescharacteristic
1691C22×C3C22×#4111yescharacteristic
1692C22×C3C2×H(5,𝔽2)11yescharacteristic
1693C22×C3C2×H(5,𝔽2)11yescharacteristic
1694C22×C3C2×H(5,𝔽2)11yescharacteristic
1695C22×C3#58511yescharacteristic
1696C2×D3—22no—
1697C2×D3—22no—
1698C2×D3—22no—
1699C2×D3—22no—
1700C2×D3—22no—
1701C2×D3—22no—
1702C2×D3—22no—
1703C2×D3—22no—
1704C2×D3—22no—
1705C2×D3—22no—
1706C2×D3—22no—
1707C2×D3—22no—
1708C2×D3—41no—
1709C2×D3—41no—
1710C2×D3—41no—
1711C2×D3—41no—
1712C2×D3—41no—
1713C2×D3—41no—
1714C2×D3—41no—
1715C2×D3—41no—
1716C2×D3—41no—
1717C2×D3—41no—
1718C2×D3—41no—
1719C2×D3—41no—
1720C2×D3—41no—
1721C2×D3—41no—
1722C2×D3—41no—
1723C2×D3—41no—
1724C2×D3—41no—
1725C2×D3—41no—
1726C2×D3—41no—
1727C2×D3—41no—
1728C2×D3—41no—
1729C2×D3—41no—
1730C2×D3—88no—
1731C2×D3—88no—
1732C2×D3—88no—
1733C2×D3D4214yes—
1734C3×C4—22no—
1735C3×C4—22no—
1736C3×C4—22no—
1737C3×C4—22no—
1738C3×C4—41no—
1739C3×C4—41no—
1740C3×C4—41no—
1741C3×C4—41no—
1742C3×C4—41no—
1743C3×C4—41no—
1744Dic3—22no—
1745Dic3—22no—
1746Dic3—22no—
1747Dic3—22no—
1748Dic3—22no—
1749Dic3—41no—
1750Dic3—41no—
1751Dic3—41no—
1752Dic3—41no—
1753Dic3—41no—
1754Dic3#54614yescomplemented
1755C23—21no—
1756C23—21no—
1757C23—21no—
1758C23—21no—
1759C23—21no—
1760C23—21no—
1761C23—21no—
1762C23—21no—
1763C23—21no—
1764C23—21no—
1765C23—21no—
1766C23—21no—
1767C23—21no—
1768C23—21no—
1769C23—21no—
1770C23—21no—
1771C23—21no—
1772C23—21no—
1773C23—21no—
1774C23—21no—
1775C23—21no—
1776C23—21no—
1777C23—21no—
1778C23—21no—
1779C23—21no—
1780C23—21no—
1781C23—21no—
1782C23—21no—
1783C23—21no—
1784C23—21no—
1785C23—21no—
1786C23—21no—
1787C23—32no—
1788C23—32no—
1789C23—32no—
1790C23—32no—
1791C23—32no—
1792C23—44no—
1793C23—44no—
1794C23—44no—
1795C23—61no—
1796C23—61no—
1797C23—61no—
1798C23—61no—
1799C23—61no—
1800C23—61no—
1801C23—61no—
1802C23—61no—
1803C23—61no—
1804C23—61no—
1805C23—61no—
1806C23—61no—
1807C23—61no—
1808C23—61no—
1809C23—61no—
1810C23—61no—
1811C23—61no—
1812C23—61no—
1813C23—61no—
1814C23—61no—
1815C23—61no—
1816C23—61no—
1817C23—61no—
1818C23—61no—
1819C23—61no—
1820C23—61no—
1821C23—61no—
1822C23—61no—
1823C23—61no—
1824C23—61no—
1825C23—82no—
1826C23—82no—
1827C23—82no—
1828C23—82no—
1829C23—124no—
1830C23—124no—
1831C23—124no—
1832C23—124no—
1833C23—124no—
1834C23—124no—
1835C23—124no—
1836C23—124no—
1837C23—124no—
1838C23—124no—
1839C23—124no—
1840C23—242no—
1841C23—242no—
1842C23—242no—
1843C23—242no—
1844C23—242no—
1845C23—242no—
1846C23—242no—
1847C23—242no—
1848C23—242no—
1849C23—242no—
1850C23C2×D3×D412yes—
1851C23C2×D3×D412yes—
1852C23D3×#4112yes—
1853C23C24×D311yescharacteristic
1854Q8—44no—
1855Q8—124no—
1856D4—44no—
1857D4—44no—
1858D4—44no—
1859D4—44no—
1860D4—68no—
1861D4—68no—
1862D4—68no—
1863D4—68no—
1864D4—68no—
1865D4—82no—
1866D4—82no—
1867D4—82no—
1868D4—124no—
1869D4—124no—
1870D4—124no—
1871D4—124no—
1872D4—124no—
1873D4—124no—
1874D4—124no—
1875D4—124no—
1876D4—124no—
1877D4—124no—
1878D4—124no—
1879D4—124no—
1880D4—124no—
1881D4—124no—
1882D4—242no—
1883D4—242no—
1884D4—242no—
1885D4—242no—
1886D4—242no—
1887D4—242no—
1888D4—242no—
1889C2×C4—21no—
1890C2×C4—21no—
1891C2×C4—21no—
1892C2×C4—21no—
1893C2×C4—21no—
1894C2×C4—21no—
1895C2×C4—21no—
1896C2×C4—21no—
1897C2×C4—21no—
1898C2×C4—21no—
1899C2×C4—21no—
1900C2×C4—21no—
1901C2×C4—21no—
1902C2×C4—21no—
1903C2×C4—21no—
1904C2×C4—21no—
1905C2×C4—21no—
1906C2×C4—21no—
1907C2×C4—21no—
1908C2×C4—21no—
1909C2×C4—21no—
1910C2×C4—21no—
1911C2×C4—21no—
1912C2×C4—21no—
1913C2×C4—21no—
1914C2×C4—21no—
1915C2×C4—32no—
1916C2×C4—32no—
1917C2×C4—32no—
1918C2×C4—32no—
1919C2×C4—32no—
1920C2×C4—32no—
1921C2×C4—32no—
1922C2×C4—32no—
1923C2×C4—68no—
1924C2×C4—68no—
1925C2×C4—61no—
1926C2×C4—61no—
1927C2×C4—61no—
1928C2×C4—61no—
1929C2×C4—61no—
1930C2×C4—61no—
1931C2×C4—61no—
1932C2×C4—61no—
1933C2×C4—61no—
1934C2×C4—61no—
1935C2×C4—61no—
1936C2×C4—61no—
1937C2×C4—61no—
1938C2×C4—61no—
1939C2×C4—61no—
1940C2×C4—61no—
1941C2×C4—61no—
1942C2×C4—61no—
1943C2×C4—61no—
1944C2×C4—61no—
1945C2×C4—61no—
1946C2×C4—61no—
1947C2×C4—61no—
1948C2×C4—61no—
1949C2×C4—61no—
1950C2×C4—124no—
1951C2×C4—124no—
1952C2×C4—124no—
1953C2×C4—124no—
1954C2×C4—124no—
1955C2×C4—124no—
1956C2×C4—124no—
1957C2×C4—124no—
1958C2×C4—242no—
1959C2×C4—242no—
1960C2×C4—242no—
1961C2×C4—242no—
1962C2×C4C2×D3×D412yes—
1963C2×C4C2×D3×D412yes—
1964C2×C4C2×D3×D412yes—
1965C2×C4C2×D3×D412yes—
1966C2×C3—42no—
1967C2×C3—42no—
1968C2×C3—42no—
1969C2×C3—81no—
1970C2×C3—81no—
1971C2×C3C2×D4211yescharacteristic
1972C2×C3C2×#54611yescharacteristic
1973C2×C3D4×#4111yescharacteristic
1974C2×C3#348811yescharacteristic
1975C2×C3#349811yescharacteristic
1976C2×C3#351911yescharacteristic
1977C2×C3#355811yescharacteristic
1978D3—24no—
1979D3—42no—
1980D3—42no—
1981D3—81no—
1982D3—81no—
1983C22—22no—
1984C22—22no—
1985C22—22no—
1986C22—22no—
1987C22—22no—
1988C22—22no—
1989C22—22no—
1990C22—22no—
1991C22—22no—
1992C22—34no—
1993C22—41no—
1994C22—41no—
1995C22—41no—
1996C22—41no—
1997C22—41no—
1998C22—41no—
1999C22—41no—
2000C22—41no—
2001C22—41no—
2002C22—41no—
2003C22—41no—
2004C22—41no—
2005C22—41no—
2006C22—41no—
2007C22—41no—
2008C22—41no—
2009C22—41no—
2010C22—41no—
2011C22—41no—
2012C22—41no—
2013C22—41no—
2014C22—41no—
2015C22—41no—
2016C22—41no—
2017C22—41no—
2018C22—41no—
2019C22—62no—
2020C22—62no—
2021C22—62no—
2022C22—62no—
2023C22—62no—
2024C22—62no—
2025C22—62no—
2026C22—62no—
2027C22—62no—
2028C22—62no—
2029C22—62no—
2030C22—62no—
2031C22—88no—
2032C22—121no—
2033C22—121no—
2034C22—121no—
2035C22—121no—
2036C22—121no—
2037C22—121no—
2038C22—121no—
2039C22—121no—
2040C22—121no—
2041C22—121no—
2042C22—121no—
2043C22—121no—
2044C22—121no—
2045C22—121no—
2046C22—121no—
2047C22—121no—
2048C22—121no—
2049C22—121no—
2050C22—121no—
2051C22—121no—
2052C22—121no—
2053C22—121no—
2054C22—248no—
2055C22—248no—
2056C22—248no—
2057C22C22×D3×D411yescharacteristic
2058C22C22×D3×D411yescharacteristic
2059C22C2×D3×#4111yescharacteristic
2060C22D3×H(5,𝔽2)11yescharacteristic
2061C22D3×H(5,𝔽2)11yescharacteristic
2062C22D3×H(5,𝔽2)11yescharacteristic
2063C22#596611yescharacteristic
2064C4—22no—
2065C4—22no—
2066C4—22no—
2067C4—22no—
2068C4—34no—
2069C4—41no—
2070C4—41no—
2071C4—41no—
2072C4—41no—
2073C4—41no—
2074C4—41no—
2075C4—62no—
2076C4—62no—
2077C4—62no—
2078C4—62no—
2079C4—62no—
2080C4—121no—
2081C4—121no—
2082C4—121no—
2083C4—121no—
2084C4—121no—
2085C3#5909511yescharacteristic, complemented, Sylow
2086C2—42no—
2087C2—42no—
2088C2—42no—
2089C2—64no—
2090C2—81no—
2091C2—81no—
2092C2—122no—
2093C2—122no—
2094C2—241no—
2095C2—241no—
2096C2#8631611yescharacteristic
2097C2#8633111yescharacteristic
2098C2#8641711yescharacteristic
2099C2D3×D4211yescharacteristic
2100C2#8662611yescharacteristic
2101C2D3×#54611yescharacteristic
2102C2#8709211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2670C2
hypercenter#2670D3
hypocenterC3#59095
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2670

Complements

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

NH ≅ G/Ntype
1. C2×#5676C2semidirect
2. C2×#5668C2semidirect
3. C2×#5591C2semidirect
4. C2×#5590C2semidirect
5. C3×#2670C2semidirect
6. #82983C2semidirect
7. #82967C2semidirect
8. #82588C2semidirect
9. #82586C2semidirect
10. #77114C2semidirect
11. #77114C2semidirect
12. #76906C2semidirect
13. #76898C2semidirect
14. #76863C2semidirect
15. #76783C2semidirect
16. #76755C2semidirect
17. #76754C2semidirect
18. #76688C2semidirect
19. #76677C2semidirect
20. #76673C2semidirect
21. #76671C2semidirect
22. #76442C2semidirect
23. D3×#390C2semidirect
24. #76378C2semidirect
25. #76306C2semidirect
26. #75913C2semidirect
27. #75503C2semidirect
28. #75477C2semidirect
29. #75453C2semidirect
30. #73854C2semidirect
31. #73850C2semidirect
35. C22×#239C22semidirect
36. C22×#237C22semidirect
39. C2×C3×#124C22semidirect
40. C2×C3×#124C22semidirect
42. C2×C3×#120C22semidirect
43. C2×#953C22semidirect
44. C22×#217C22semidirect
45. C2×#946C22semidirect
46. C2×#944C22semidirect
49. C2×#940C22semidirect
50. C2×#940C22semidirect
53. C2×#939C22semidirect
54. C2×#939C22semidirect
55. C2×#939C22semidirect
56. C2×#939C22semidirect
58. C2×#938C22semidirect
60. C2×#937C22semidirect
61. C2×#937C22semidirect
62. C2×#937C22semidirect
63. C2×D4×Dic3C22semidirect
68. C2×D3×C4⋊C4C22semidirect
69. C2×#886C22semidirect
70. C2×#885C22semidirect
74. C2×#884C22semidirect
75. C2×#884C22semidirect
76. C2×#884C22semidirect
77. C2×#884C22semidirect
78. C2×#884C22semidirect
80. C2×#883C22semidirect
83. C2×#882C22semidirect
84. C2×#882C22semidirect
85. C2×#882C22semidirect
88. C2×#67⋊C4C22semidirect
89. C2×#67⋊C4C22semidirect
90. C2×#67⋊C4C22semidirect
91. C2×#67⋊C4C22semidirect
92. C2×#67⋊C4C22semidirect
93. C2×#67⋊C4C22semidirect
94. C2×D3×C22⋊C4C22semidirect
95. C2×D3×C22⋊C4C22semidirect
96. C2×D3×C22⋊C4C22semidirect
97. C2×D3×C22⋊C4C22semidirect
98. C2×D3×C22⋊C4C22semidirect
99. C2×#878C22semidirect
100. C2×#875C22semidirect
101. C2×C4×D12C22semidirect
102. C2×C4×D12C22semidirect
103. C2×C42×D3C22semidirect
104. C3×#394C22semidirect
105. C3×#394C22semidirect
106. C3×#393C22semidirect
107. C3×#392C22semidirect
108. C3×#392C22semidirect
109. C3×#392C22semidirect
110. C3×#390C22semidirect
111. C3×#390C22semidirect
112. C3×#388C22semidirect
113. C3×#388C22semidirect
114. C3×#379C22semidirect
115. #5231C22semidirect
116. #5223C22semidirect
117. #5223C22semidirect
118. #5223C22semidirect
119. #5223C22semidirect
120. #5222C22semidirect
121. #5221C22semidirect
122. #5220C22semidirect
123. #5220C22semidirect
124. #4994C22semidirect
125. #4991C22semidirect
126. #4989C22semidirect
127. #4989C22semidirect
128. #4988C22semidirect
129. #4988C22semidirect
130. Dic3×C4⋊C4C22semidirect
131. #4961C22semidirect
132. #4961C22semidirect
133. #4961C22semidirect
134. #4960C22semidirect
135. #4960C22semidirect
136. #4960C22semidirect
137. #4960C22semidirect
138. #4960C22semidirect
139. #4959C22semidirect
140. #4959C22semidirect
141. #4959C22semidirect
142. #4958C22semidirect
143. #4958C22semidirect
144. #4958C22semidirect
145. #4958C22semidirect
149. #4957C22semidirect
150. #4957C22semidirect
151. #4957C22semidirect
152. #4957C22semidirect
153. #4957C22semidirect
155. #4956C22semidirect
156. #4956C22semidirect
157. #4956C22semidirect
158. #4956C22semidirect
159. #4956C22semidirect
160. #4956C22semidirect
161. #4955C22semidirect
162. #4950C22semidirect
163. #4948C22semidirect
164. #4948C22semidirect
165. #4947C22semidirect
166. #4946C22semidirect
167. #4944C22semidirect
168. #4944C22semidirect
169. #4942C22semidirect
170. Dic3×C22⋊C4C22semidirect
171. Dic3×C22⋊C4C22semidirect
172. #4940C22semidirect
173. #4939C22semidirect
174. #4933C22semidirect
175. C4×Dic3⋊C4C22semidirect
176. #4676C22semidirect
177. #4673C22semidirect
178. #4671C22semidirect
179. #4671C22semidirect
180. #4670C22semidirect
181. #4668C22semidirect
182. #4666C22semidirect
183. #4665C22semidirect
184. #4665C22semidirect
185. #4665C22semidirect
186. #4665C22semidirect
187. #4664C22semidirect
188. #4653C22semidirect
189. #4649C22semidirect
190. #4647C22semidirect
191. #4647C22semidirect
199. #2670D3semidirect
413. #884D4semidirect
415. #883D4semidirect
474. C2×#124C2×D3semidirect
475. C2×#124C2×D3semidirect
508. C2×#120C2×D3semidirect
540. #394C2×D3semidirect
541. #394C2×D3semidirect
545. #393C2×D3semidirect
557. #392C2×D3semidirect
558. #392C2×D3semidirect
559. #392C2×D3semidirect
572. #390C2×D3semidirect
573. #390C2×D3semidirect
580. #388C2×D3semidirect
581. #388C2×D3semidirect
609. #379C2×D3semidirect
746. C2×#67#41semidirect
824. C2×C4×D3C2×D4semidirect
847. C3×C22⋊C4C2×D4semidirect
862. #217C2×D4semidirect
889. (C2×D3)⋊C4C2×D4semidirect
893. C4⋊Dic3C2×D4semidirect
904. Dic3⋊C4C2×D4semidirect
1643. C22⋊C4D3×D4semidirect
1754. Dic3#546semidirect
2085. C3#59095semidirect

Maximal subgroups

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

subgroupindex
C2×#56762
C2×#56682
C2×#55912
C2×#55902
C3×#26702
#829832
#829672
#825882
#825862
#771142
#769062
#768982
#768632
#767832
#767552
#767542
#766882
#766772
#766732
#766712
#764422
D3×#3902
#763782
#763062
#759132
#755032
#754772
#754532
#738542
#738502
#590953