Finite Group Databasebeta

← #11634029

Subgroups — #11634029

Order 768.

2936 conjugacy classes of subgroups.

The subgroup lattice has 1854 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5791C211yesmaximal, characteristic, complemented
2C2×#5495C211yesmaximal, characteristic, complemented
3C2×C3×#386C211yesmaximal, characteristic, complemented
4#84049C211yesmaximal, characteristic, complemented
5#84048C211yesmaximal, characteristic, complemented
6C4×#953C211yesmaximal, characteristic, complemented
7#82115C211yesmaximal, characteristic, complemented
8#82115C211yesmaximal, characteristic, complemented
9#82109C211yesmaximal, characteristic, complemented
10#82106C211yesmaximal, characteristic, complemented
11#82099C211yesmaximal, characteristic, complemented
12#74899C211yesmaximal, characteristic, complemented
13#74898C211yesmaximal, characteristic, complemented
14#74830C211yesmaximal, characteristic, complemented
15#74829C211yesmaximal, characteristic, complemented
16#74823C211yesmaximal, characteristic, complemented
17#74792C211yesmaximal, characteristic, complemented
18#74755C211yesmaximal, characteristic, complemented
19#74734C211yesmaximal, characteristic, complemented
20#74725C211yesmaximal, characteristic, complemented
21#74724C211yesmaximal, characteristic, complemented
22#74721C211yesmaximal, characteristic, complemented
23#74708C211yesmaximal, characteristic, complemented
24#74700C211yesmaximal, characteristic, complemented
25#74688C211yesmaximal, characteristic, complemented
26#74679C211yesmaximal, characteristic, complemented
27#74677C211yesmaximal, characteristic, complemented
28#73378C211yesmaximal, characteristic, complemented
29#73349C211yesmaximal, characteristic, complemented
30#73339C211yesmaximal, characteristic, complemented
31#73337C211yesmaximal, characteristic, complemented
32#59045—31nomaximal, Sylow
33C23×C3×D4C2211yescharacteristic
34C24×C3×C4C2211yescharacteristic
35C22×#235C2211yescharacteristic, complemented
36C22×C3×C22⋊C4C2211yescharacteristic
37C22×C3×C22⋊C4C2211yescharacteristic
38C22×C3×C22⋊C4C2211yescharacteristic
39C2×#953C2211yescharacteristic
40C2×#953C2211yescharacteristic
41C2×#953C2211yescharacteristic
42C2×#953C2211yescharacteristic
43C2×#953C2211yescharacteristic
44C2×#953C2211yescharacteristic
45C22×#217C2211yescharacteristic
46C2×#940C2211yescharacteristic
47C2×#940C2211yescharacteristic
48C2×#939C2211yescharacteristic
49C2×#939C2211yescharacteristic
50#5791—28no—
51C2×#930C2211yescharacteristic
52C2×#930C2211yescharacteristic
53C2×#930C2211yescharacteristic
54C2×#930C2211yescharacteristic, complemented
55C2×#929C2211yescharacteristic
56C2×#929C2211yescharacteristic
57C2×#929C2211yescharacteristic
58C2×#929C2211yescharacteristic, complemented
59C2×#929C2211yescharacteristic, complemented
60C2×C4×#67C2211yescharacteristic
61C2×C4×#67C2211yescharacteristic
62C2×C4×#67C2211yescharacteristic
63C2×C4×#67C2211yescharacteristic, complemented
64C2×C4×#67C2211yescharacteristic, complemented
65C2×C4×#67C2211yescharacteristic, complemented
66C2×C4×#67C2211yescharacteristic, complemented
67C2×#926C2211yescharacteristic
68C2×#926C2211yescharacteristic, complemented
69C2×#924C2211yescharacteristic
70C2×#924C2211yescharacteristic, complemented
71#5495—28no—
72C2×#886C2211yescharacteristic, complemented
73C2×#885C2211yescharacteristic, complemented
74C2×#884C2211yescharacteristic, complemented
75C2×#883C2211yescharacteristic, complemented
76C2×#67⋊C4C2211yescharacteristic, complemented
77C2×#67⋊C4C2211yescharacteristic, complemented
78C2×#879C2211yescharacteristic, complemented
79C2×#879C2211yescharacteristic, complemented
80C2×#878C2211yescharacteristic, complemented
81C2×#877C2211yescharacteristic, complemented
82C3×#386C2211yescharacteristic
83C3×#386C2211yescharacteristic
84C3×#386C2211yescharacteristic
85C3×#386C2211yescharacteristic
86C3×#386C2211yescharacteristic
87C3×#386C2211yescharacteristic
88C3×#386C2211yescharacteristic
89C3×#386C2211yescharacteristic
90C2×C3×#95C2211yescharacteristic
91C2×C3×#95C2211yescharacteristic
92#5247C2211yescharacteristic
93#5223C2211yescharacteristic
94#5223C2211yescharacteristic
95#5223C2211yescharacteristic
96#5223C2211yescharacteristic
97#5223C2211yescharacteristic
98#5223C2211yescharacteristic
99#5222C2211yescharacteristic
100#5222C2211yescharacteristic
101#5221C2211yescharacteristic
102#5221C2211yescharacteristic
103#5220C2211yescharacteristic
104#5220C2211yescharacteristic
105#5213C2211yescharacteristic
106#5213C2211yescharacteristic
107#5213C2211yescharacteristic
108#5213C2211yescharacteristic, complemented
109#5213C2211yescharacteristic, complemented
110#5210C2211yescharacteristic
111#5210C2211yescharacteristic
112#5210C2211yescharacteristic
113#5210C2211yescharacteristic, complemented
114#5210C2211yescharacteristic, complemented
115C4×#217C2211yescharacteristic
116C4×#217C2211yescharacteristic
117C4×#217C2211yescharacteristic
118C4×#217C2211yescharacteristic, complemented
119C4×#217C2211yescharacteristic, complemented
120#4961C2211yescharacteristic, complemented
121#4961C2211yescharacteristic, complemented
122#4960C2211yescharacteristic, complemented
123#4960C2211yescharacteristic, complemented
124#4960C2211yescharacteristic, complemented
125#4960C2211yescharacteristic, complemented
126#4960C2211yescharacteristic, complemented
127#4959C2211yescharacteristic, complemented
128#4959C2211yescharacteristic, complemented
129#4958C2211yescharacteristic, complemented
130#4957C2211yescharacteristic, complemented
131#4957C2211yescharacteristic, complemented
132#4957C2211yescharacteristic, complemented
133#4957C2211yescharacteristic, complemented
134#4957C2211yescharacteristic, complemented
135#4957C2211yescharacteristic, complemented
136#4957C2211yescharacteristic, complemented
137#4957C2211yescharacteristic, complemented
138#4957C2211yescharacteristic, complemented
139#4957C2211yescharacteristic, complemented
140#4957C2211yescharacteristic, complemented
141#4957C2211yescharacteristic, complemented
142#4956C2211yescharacteristic, complemented
143#4956C2211yescharacteristic, complemented
144#4951C2211yescharacteristic, complemented
145#4949C2211yescharacteristic, complemented
146#4949C2211yescharacteristic, complemented
147#4949C2211yescharacteristic, complemented
148#4949C2211yescharacteristic, complemented
149#4948C2211yescharacteristic, complemented
150#4948C2211yescharacteristic, complemented
151#4948C2211yescharacteristic, complemented
152#4946C2211yescharacteristic, complemented
153#4945C2211yescharacteristic, complemented
154#4945C2211yescharacteristic, complemented
155#4945C2211yescharacteristic, complemented
156#4944C2211yescharacteristic, complemented
157Dic3×C22⋊C4C2211yescharacteristic, complemented
158#4676C2211yescharacteristic, complemented
159#4675C2211yescharacteristic, complemented
160#4674C2211yescharacteristic, complemented
161#4672C2211yescharacteristic, complemented
162#4672C2211yescharacteristic, complemented
163#4671C2211yescharacteristic, complemented
164#4670C2211yescharacteristic, complemented
165#4670C2211yescharacteristic, complemented
166#4670C2211yescharacteristic, complemented
167#4669C2211yescharacteristic, complemented
168#4669C2211yescharacteristic, complemented
169#4668C2211yescharacteristic, complemented
170#4667C2211yescharacteristic, complemented
171#4666C2211yescharacteristic, complemented
172#4665C2211yescharacteristic, complemented
173#4665C2211yescharacteristic, complemented
174#4665C2211yescharacteristic, complemented
175#4661C2211yescharacteristic, complemented
176#4657C2211yescharacteristic, complemented
177#4655C2211yescharacteristic, complemented
178#4653C2211yescharacteristic, complemented
179#4653C2211yescharacteristic, complemented
180#4652C2211yescharacteristic, complemented
181#4652C2211yescharacteristic, complemented
182#4652C2211yescharacteristic, complemented
183#4649C2211yescharacteristic, complemented
184#4649C2211yescharacteristic, complemented
185#4649C2211yescharacteristic, complemented
186#4647C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#551—31no—
191C2×#525—31no—
192#2732—31no—
193#2730—31no—
194#2714—31no—
195#2673—31no—
196#2554—31no—
197#2543—31no—
198#2539—31no—
199#2539—31no—
200#2479—31no—
201#2471—31no—
202#2471—31no—
203#2467—31no—
204#2456—31no—
205#2456—31no—
206#2445—31no—
207#2433—31no—
208#2431—31no—
209#2425—31no—
210#2424—31no—
211#2411—31no—
212#2410—31no—
213#2407—31no—
214#2368—31no—
215#2366—31no—
216#2363—31no—
217#2359—31no—
218#2358—31no—
219C4×#120—31no—
220C2×#386D311yescharacteristic, complemented
221C25×C3C2311yescharacteristic
222C25×C3C2311yescharacteristic
223C22×C3×D4—24no—
224C22×C3×D4—42no—
225C22×C3×D4—42no—
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C23×C3×C4—24no—
231C23×C3×C4—42no—
232C23×C3×C4—42no—
233C23×C3×C4C2311yescharacteristic
234C23×C3×C4C2311yescharacteristic
235C23×C3×C4C2311yescharacteristic
236C23×C3×C4C2311yescharacteristic
237C23×C3×C4C2311yescharacteristic
238C23×C3×C4C2311yescharacteristic
239C23×C3×C4C2311yescharacteristic
240C23×C3×C4C2311yescharacteristic
241C23×C3×C4C2311yescharacteristic
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
257C23×Dic3C2311yescharacteristic
258C23×Dic3C2311yescharacteristic
259C2×#235—24no—
260C2×#235—42no—
261C2×#235—42no—
262C22×D12C2311yescharacteristic
263C22×D12C2311yescharacteristic
264C22×D12C2311yescharacteristic
265C22×C4×D3C2311yescharacteristic
266C22×C4×D3C2311yescharacteristic
267C22×C4×D3C2311yescharacteristic
268C22×Dic6C2311yescharacteristic
269C2×C3×C22⋊C4—24no—
270C2×C3×C22⋊C4—42no—
271C2×C3×C22⋊C4—42no—
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284#953—24no—
285#953—24no—
286#953—24no—
287#953—24no—
288#953—24no—
289#953—42no—
290C2×#217—24no—
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313C2×#217C2311yescharacteristic
314#940—24no—
315#940—42no—
316#939—24no—
317#939—42no—
318#930—24no—
319#930—24no—
320#930—42no—
321#930—42no—
322#929—24no—
323#929—24no—
324#929—24no—
325#929—24no—
326#929—42no—
327C4×#67—24no—
328C4×#67—24no—
329C4×#67—24no—
330C4×#67—24no—
331C4×#67—24no—
332C4×#67—42no—
333C4×#67—42no—
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×(C2×D3)⋊C4C2311yescharacteristic
351C2×(C2×D3)⋊C4C2311yescharacteristic
352C2×(C2×D3)⋊C4C2311yescharacteristic
353C2×(C2×D3)⋊C4C2311yescharacteristic
354C2×(C2×D3)⋊C4C2311yescharacteristic
355#926—24no—
356#926—24no—
357C2×C4⋊Dic3C2311yescharacteristic
358C2×C4⋊Dic3C2311yescharacteristic
359C2×C4⋊Dic3C2311yescharacteristic
360C2×C4⋊Dic3C2311yescharacteristic
361C2×C4⋊Dic3C2311yescharacteristic
362C2×C4⋊Dic3C2311yescharacteristic
363#924—24no—
364#924D418yescomplemented
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×Dic3⋊C4C2311yescharacteristic
374C2×Dic3⋊C4C2311yescharacteristic
375C2×Dic3⋊C4C2311yescharacteristic
376C2×Dic3⋊C4C2311yescharacteristic
377C2×Dic3⋊C4C2311yescharacteristic
378C2×Dic3⋊C4C2311yescharacteristic
379C2×Dic3⋊C4C2311yescharacteristic
380C2×Dic3⋊C4C2311yescharacteristic
381C2×Dic3⋊C4C2311yescharacteristic
382C2×C4×Dic3C2311yescharacteristic
383C2×C4×Dic3C2311yescharacteristic
384C2×C4×Dic3C2311yescharacteristic
385C2×C4×Dic3C2311yescharacteristic
386C2×C4×Dic3C2311yescharacteristic
387C2×C4×Dic3C2311yescharacteristic
388C2×C4×Dic3C2311yescharacteristic
389C2×C4×Dic3C2311yescharacteristic
390C2×C4×Dic3C2311yescharacteristic
391C2×C4×Dic3C2311yescharacteristic
392C2×C4×Dic3C2311yescharacteristic
393#886—24no—
394#885—24no—
395#884—42no—
396#883—24no—
397#67⋊C4—24no—
398#67⋊C4—42no—
399#879—24no—
400#879—24no—
401#878—24no—
402#877—24no—
403C3×#95C2311yescharacteristic
404C3×#95C2311yescharacteristic
405C3×#95C2311yescharacteristic
406C3×#95C2311yescharacteristic
407C3×#95C2311yescharacteristic
408C3×#95C2311yescharacteristic
409C3×#95C2311yescharacteristic
410C3×#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C3⋊#95C2311yescharacteristic
427C3⋊#95C2311yescharacteristic
428C3⋊#95C2311yescharacteristic
429C22×#41—31no—
430C23×D4C2×D311yescharacteristic
431C24×C4C2×D311yescharacteristic
432#551—68no—
433C2×#127—31no—
434C2×#127—31no—
435C2×#126—31no—
436C2×#126—31no—
437C2×#124—31no—
438#525—68no—
439C2×#123—31no—
440C2×#123—31no—
441C2×#123—31no—
442C2×#123—31no—
443C2×#123—31no—
444C2×#123—31no—
445C2×#123—31no—
446C2×C22⋊Q8—31no—
447C2×C22⋊Q8—31no—
448C2×C22⋊Q8—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121—31no—
455C2×#121—31no—
456C2×#120—31no—
457C2×#120—31no—
458C2×#120—31no—
459C2×#120—31no—
460C2×#120—31no—
461C2×#120—31no—
462C2×C4×D4—31no—
463C2×C4×D4—31no—
464C2×C4×D4—31no—
465C2×C4×D4—31no—
466C2×C4×D4—31no—
467C2×C4×D4—31no—
468C2×C4×D4—31no—
469C2×C4×D4—31no—
470C2×C4×D4—31no—
471C2×#117—31no—
472C2×#117—31no—
473C2×#117—31no—
474C22×C22⋊C4—31no—
475C22×C22⋊C4C2×D311yescharacteristic
476C22×C22⋊C4C2×D311yescharacteristic
477C22×C22⋊C4C2×D311yescharacteristic
478#399—31no—
479#399—31no—
480#399—31no—
481#399—31no—
482#398—31no—
483#398—31no—
484#397—31no—
485#397—31no—
486#396—31no—
487#396—31no—
488#396—31no—
489#396—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#392—31no—
499#392—31no—
500#392—31no—
501#392—31no—
502#392—31no—
503#392—31no—
504#392—31no—
505#392—31no—
506#392—31no—
507#392—31no—
508#392—31no—
509#392—31no—
510#391—31no—
511#391—31no—
512#390—31no—
513#390—31no—
514#390—31no—
515#390—31no—
516#390—31no—
517#390—31no—
518#390—31no—
519#390—31no—
520#390—31no—
521#390—31no—
522#390—31no—
523#390—31no—
524#390—31no—
525#390—31no—
526#389—31no—
527#389—31no—
528#388—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#388—31no—
535#388—31no—
536#388—31no—
537#388—31no—
538#387—31no—
539#387—31no—
540#387—31no—
541#387—31no—
542#387—31no—
543#387—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386—31no—
557#386C2×D311yescharacteristic
558#386C2×D311yescharacteristic
559#386C2×D311yescharacteristic
560#386C2×D311yescharacteristic
561#386C2×D311yescharacteristic
562#386C2×D311yescharacteristic
563#386C2×D311yescharacteristic
564#386C2×D311yescharacteristic
565#385—31no—
566#385—31no—
567#385—31no—
568#385—31no—
569#385—31no—
570#385—31no—
571#385—31no—
572#380—31no—
573#379—31no—
574C4×C4⋊C4—31no—
575C4×C4⋊C4—31no—
576C4×C4⋊C4—31no—
577C4×C22⋊C4—31no—
578C4×C22⋊C4—31no—
579C4×C22⋊C4—31no—
580C4×C22⋊C4—31no—
581C4×C22⋊C4—31no—
582C4×C22⋊C4—31no—
583C4×C22⋊C4—31no—
584C2×#95C2×D311yescharacteristic
585C2×#95C2×D311yescharacteristic
586C24×C3—22no—
587C24×C3—22no—
588C24×C3—22no—
589C24×C3—22no—
590C24×C3—22no—
591C24×C3—22no—
592C24×C3—22no—
593C24×C3—22no—
594C24×C3—22no—
595C24×C3—41no—
596C24×C3—41no—
597C24×C3—41no—
598C24×C3—41no—
599C24×C3—41no—
600C24×C3C2411yescharacteristic
601C24×C3C2411yescharacteristic
602C24×C3C2411yescharacteristic
603C24×C3C2411yescharacteristic
604C24×C3C2411yescharacteristic
605C23×D3C2411yescharacteristic
606C23×D3C2411yescharacteristic
607C23×D3C2411yescharacteristic
608C2×C3×D4—22no—
609C2×C3×D4—22no—
610C2×C3×D4—22no—
611C2×C3×D4—22no—
612C2×C3×D4—22no—
613C2×C3×D4—41no—
614C2×C3×D4—41no—
615C2×C3×D4—41no—
616C2×C3×D4—41no—
617C2×C3×D4—41no—
618C2×C3×D4—41no—
619C2×C3×D4—416no—
620C2×C3×D4#4114yescomplemented
621C22×C3×C4—22no—
622C22×C3×C4—22no—
623C22×C3×C4—22no—
624C22×C3×C4—22no—
625C22×C3×C4—22no—
626C22×C3×C4—22no—
627C22×C3×C4—22no—
628C22×C3×C4—22no—
629C22×C3×C4—22no—
630C22×C3×C4—22no—
631C22×C3×C4—22no—
632C22×C3×C4—22no—
633C22×C3×C4—22no—
634C22×C3×C4—22no—
635C22×C3×C4—22no—
636C22×C3×C4—22no—
637C22×C3×C4—41no—
638C22×C3×C4—41no—
639C22×C3×C4—41no—
640C22×C3×C4—41no—
641C22×C3×C4—41no—
642C22×C3×C4—41no—
643C22×C3×C4—41no—
644C22×C3×C4—41no—
645C22×C3×C4—41no—
646C22×C3×C4—41no—
647C22×C3×C4—416no—
648C22×C3×C4C2×D414yes—
649C22×C3×C4C2411yescharacteristic
650C22×C3×C4C2411yescharacteristic
651C22×C3×C4C2411yescharacteristic
652C22×C3×C4C2411yescharacteristic
653C22×C3×C4C2411yescharacteristic
654C22×C3×C4C2411yescharacteristic
655C22×C3×C4C2411yescharacteristic
656C22×C3×C4C2411yescharacteristic
657C22×C3×C4C2411yescharacteristic
658C22×C3×C4C2411yescharacteristic
659C2×#67—22no—
660C2×#67—22no—
661C2×#67—22no—
662C2×#67—22no—
663C2×#67—22no—
664C2×#67—22no—
665C2×#67—22no—
666C2×#67—22no—
667C2×#67—22no—
668C2×#67—22no—
669C2×#67—22no—
670C2×#67—22no—
671C2×#67—22no—
672C2×#67—22no—
673C2×#67—22no—
674C2×#67—22no—
675C2×#67—22no—
676C2×#67—22no—
677C2×#67—22no—
678C2×#67—22no—
679C2×#67—22no—
680C2×#67—22no—
681C2×#67—22no—
682C2×#67—22no—
683C2×#67—22no—
684C2×#67—22no—
685C2×#67—22no—
686C2×#67—22no—
687C2×#67—41no—
688C2×#67—41no—
689C2×#67—41no—
690C2×#67—41no—
691C2×#67—41no—
692C2×#67—41no—
693C2×#67—41no—
694C2×#67—41no—
695C2×#67—41no—
696C2×#67—41no—
697C2×#67—41no—
698C2×#67—41no—
699C2×#67—41no—
700C2×#67—41no—
701C2×#67—41no—
702C2×#67—41no—
703C2×#67—41no—
704C22×Dic3—22no—
705C22×Dic3—22no—
706C22×Dic3—22no—
707C22×Dic3—41no—
708C22×Dic3—41no—
709C22×Dic3—41no—
710C22×Dic3C2411yescharacteristic
711C22×Dic3C2411yescharacteristic
712C22×Dic3C2411yescharacteristic
713C22×Dic3C2411yescharacteristic
714C22×Dic3C2411yescharacteristic
715C22×Dic3C2411yescharacteristic
716C22×Dic3C2411yescharacteristic
717C22×Dic3C2411yescharacteristic
718C22×Dic3C2411yescharacteristic
719C22×Dic3C2411yescharacteristic
720C22×Dic3C2411yescharacteristic
721C22×Dic3C2411yescharacteristic
722C22×Dic3C2411yescharacteristic
723#235—416no—
724C2×D12—22no—
725C2×D12—22no—
726C2×D12—41no—
727C2×D12—41no—
728C2×D12—41no—
729C2×D12—41no—
730C2×D12—41no—
731C2×D12—41no—
732C2×D12—41no—
733C2×C4×D3—22no—
734C2×C4×D3—22no—
735C2×C4×D3—22no—
736C2×C4×D3—22no—
737C2×C4×D3—22no—
738C2×C4×D3—41no—
739C2×C4×D3—41no—
740C2×C4×D3—41no—
741C2×C4×D3—41no—
742C2×Dic6—41no—
743C2×Dic6—41no—
744C2×Dic6C2×D414yescomplemented
745C3×C22⋊C4—22no—
746C3×C22⋊C4—22no—
747C3×C22⋊C4—22no—
748C3×C22⋊C4—22no—
749C3×C22⋊C4—22no—
750C3×C22⋊C4—22no—
751C3×C22⋊C4—41no—
752C3×C22⋊C4—41no—
753C3×C22⋊C4—41no—
754C3×C22⋊C4—41no—
755C3×C22⋊C4—41no—
756C3×C22⋊C4—41no—
757#217—22no—
758#217—22no—
759#217—22no—
760#217—22no—
761#217—22no—
762#217—22no—
763#217—22no—
764#217—22no—
765#217—22no—
766#217—22no—
767#217—22no—
768#217—22no—
769#217—22no—
770#217—22no—
771#217—22no—
772#217—22no—
773#217—41no—
774#217—41no—
775#217—41no—
776#217—41no—
777#217C2×D414yes—
778#217C2×D414yes—
779#217#4114yescomplemented
780(C2×D3)⋊C4—22no—
781(C2×D3)⋊C4—22no—
782(C2×D3)⋊C4—22no—
783(C2×D3)⋊C4—22no—
784(C2×D3)⋊C4—22no—
785(C2×D3)⋊C4—22no—
786(C2×D3)⋊C4—22no—
787(C2×D3)⋊C4—22no—
788(C2×D3)⋊C4—22no—
789(C2×D3)⋊C4—22no—
790(C2×D3)⋊C4—22no—
791(C2×D3)⋊C4—41no—
792(C2×D3)⋊C4—41no—
793(C2×D3)⋊C4—41no—
794(C2×D3)⋊C4—41no—
795(C2×D3)⋊C4—41no—
796(C2×D3)⋊C4—41no—
797(C2×D3)⋊C4—41no—
798(C2×D3)⋊C4—41no—
799(C2×D3)⋊C4—41no—
800(C2×D3)⋊C4—41no—
801C4⋊Dic3—22no—
802C4⋊Dic3—22no—
803C4⋊Dic3—22no—
804C4⋊Dic3—41no—
805C4⋊Dic3—41no—
806C4⋊Dic3C2×D414yescomplemented
807Dic3⋊C4—22no—
808Dic3⋊C4—22no—
809Dic3⋊C4—22no—
810Dic3⋊C4—22no—
811Dic3⋊C4—22no—
812Dic3⋊C4—22no—
813Dic3⋊C4—22no—
814Dic3⋊C4—22no—
815Dic3⋊C4—22no—
816Dic3⋊C4—41no—
817Dic3⋊C4—41no—
818Dic3⋊C4—41no—
819Dic3⋊C4—41no—
820Dic3⋊C4—41no—
821Dic3⋊C4—41no—
822Dic3⋊C4C2×D414yescomplemented
823Dic3⋊C4C2×D414yescomplemented
824C4×Dic3—22no—
825C4×Dic3—22no—
826C4×Dic3—22no—
827C4×Dic3—22no—
828C4×Dic3—22no—
829C4×Dic3—22no—
830C4×Dic3—41no—
831C4×Dic3—41no—
832C4×Dic3—41no—
833C4×Dic3—41no—
834C4×Dic3—41no—
835C25C22×D311yescharacteristic
836C25C22×D311yescharacteristic
837C2×#41—64no—
838C2×#41—122no—
839C2×#41—122no—
840C22×Q8—31no—
841C22×D4—24no—
842C22×D4—31no—
843C22×D4—31no—
844C22×D4—31no—
845C22×D4—31no—
846C22×D4—31no—
847C22×D4—31no—
848C22×D4—31no—
849C22×D4—31no—
850C22×D4—31no—
851C22×D4—31no—
852C22×D4—31no—
853C22×D4—31no—
854C22×D4—31no—
855C22×D4—31no—
856C22×D4—31no—
857C22×D4—31no—
858C22×D4—31no—
859C22×D4—31no—
860C22×D4—42no—
861C22×D4—42no—
862C22×D4C22×D311yescharacteristic
863C22×D4C22×D311yescharacteristic
864C22×D4C22×D311yescharacteristic
865C22×D4C22×D311yescharacteristic
866C23×C4—24no—
867C23×C4—31no—
868C23×C4—31no—
869C23×C4—31no—
870C23×C4—31no—
871C23×C4—31no—
872C23×C4—42no—
873C23×C4—42no—
874C23×C4C22×D311yescharacteristic
875C23×C4C22×D311yescharacteristic
876C23×C4C22×D311yescharacteristic
877C23×C4C22×D311yescharacteristic
878C23×C4C22×D311yescharacteristic
879C23×C4C22×D311yescharacteristic
880C23×C4C22×D311yescharacteristic
881C23×C4C22×D311yescharacteristic
882C23×C4C22×D311yescharacteristic
883#127—64no—
884#127—122no—
885#126—64no—
886#126—64no—
887#124—64no—
888#123—64no—
889#123—64no—
890#123—64no—
891#123—64no—
892#123—64no—
893#123—64no—
894#123—122no—
895C22⋊Q8—38no—
896C22⋊Q8—64no—
897C22⋊Q8—64no—
898#121—64no—
899#121—64no—
900#121—64no—
901#121—122no—
902#121—122no—
903#121—122no—
904#121—122no—
905#120—64no—
906#120—64no—
907#120—64no—
908#120—64no—
909#120—64no—
910#120—122no—
911C4×D4—64no—
912C4×D4—64no—
913C4×D4—64no—
914C4×D4—64no—
915C4×D4—64no—
916C4×D4—64no—
917C4×D4—122no—
918C4×D4—122no—
919C4×D4—122no—
920#117—64no—
921#117—64no—
922#117—64no—
923C2×C4⋊C4—31no—
924C2×C4⋊C4—31no—
925C2×C4⋊C4—31no—
926C2×C4⋊C4—31no—
927C2×C4⋊C4—31no—
928C2×C4⋊C4—31no—
929C2×C4⋊C4—31no—
930C2×C4⋊C4—31no—
931C2×C4⋊C4—31no—
932C2×C4⋊C4—31no—
933C2×C4⋊C4—31no—
934C2×C4⋊C4—31no—
935C2×C4⋊C4—31no—
936C2×C4⋊C4—31no—
937C2×C4⋊C4—31no—
938C2×C4⋊C4—31no—
939C2×C4⋊C4—31no—
940C2×C4⋊C4—31no—
941C2×C4⋊C4—31no—
942C2×C4⋊C4—31no—
943C2×C4⋊C4—31no—
944C2×C4⋊C4—31no—
945C2×C4⋊C4—31no—
946C2×C22⋊C4—24no—
947C2×C22⋊C4—31no—
948C2×C22⋊C4—31no—
949C2×C22⋊C4—31no—
950C2×C22⋊C4—31no—
951C2×C22⋊C4—31no—
952C2×C22⋊C4—31no—
953C2×C22⋊C4—31no—
954C2×C22⋊C4—31no—
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
957C2×C22⋊C4—31no—
958C2×C22⋊C4—31no—
959C2×C22⋊C4—31no—
960C2×C22⋊C4—31no—
961C2×C22⋊C4—31no—
962C2×C22⋊C4—31no—
963C2×C22⋊C4—31no—
964C2×C22⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—31no—
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—31no—
973C2×C22⋊C4—31no—
974C2×C22⋊C4—31no—
975C2×C22⋊C4—31no—
976C2×C22⋊C4—31no—
977C2×C22⋊C4—31no—
978C2×C22⋊C4—31no—
979C2×C22⋊C4—31no—
980C2×C22⋊C4—31no—
981C2×C22⋊C4—31no—
982C2×C22⋊C4—31no—
983C2×C22⋊C4—31no—
984C2×C22⋊C4—31no—
985C2×C22⋊C4—31no—
986C2×C22⋊C4—31no—
987C2×C22⋊C4—31no—
988C2×C22⋊C4—31no—
989C2×C22⋊C4—31no—
990C2×C22⋊C4—31no—
991C2×C22⋊C4—42no—
992C2×C22⋊C4—42no—
993C2×C22⋊C4—64no—
994C2×C22⋊C4C22×D311yescharacteristic
995C2×C22⋊C4C22×D311yescharacteristic
996C2×C22⋊C4C22×D311yescharacteristic
997C2×C22⋊C4C22×D311yescharacteristic
998C2×C22⋊C4C22×D311yescharacteristic
999C2×C22⋊C4C22×D311yescharacteristic
1000C2×C22⋊C4C22×D311yescharacteristic
1001C2×C22⋊C4C22×D311yescharacteristic
1002C2×C22⋊C4C22×D311yescharacteristic
1003C2×C22⋊C4C22×D311yescharacteristic
1004C2×C22⋊C4C22×D311yescharacteristic
1005C2×C22⋊C4C22×D311yescharacteristic
1006C2×C42—31no—
1007C2×C42—31no—
1008C2×C42—31no—
1009C2×C42—31no—
1010C2×C42—31no—
1011C2×C42—31no—
1012C2×C42—31no—
1013C2×C42—31no—
1014C2×C42—31no—
1015C2×C42—31no—
1016C2×C42—31no—
1017#95—31no—
1018#95—31no—
1019#95—31no—
1020#95—31no—
1021#95—31no—
1022#95—31no—
1023#95—31no—
1024#95—31no—
1025#95—31no—
1026#95—31no—
1027#95—31no—
1028#95—31no—
1029#95—31no—
1030#95—31no—
1031#95—31no—
1032#95—31no—
1033#95—31no—
1034#95—31no—
1035#95C22×D311yescharacteristic
1036#95C22×D311yescharacteristic
1037#95C22×D311yescharacteristic
1038#95C22×D311yescharacteristic
1039#95C22×D311yescharacteristic
1040#95C22×D311yescharacteristic
1041#95C22×D311yescharacteristic
1042#95C22×D311yescharacteristic
1043C23×C3—21no—
1044C23×C3—21no—
1045C23×C3—21no—
1046C23×C3—21no—
1047C23×C3—28no—
1048C23×C3—21no—
1049C23×C3—21no—
1050C23×C3—21no—
1051C23×C3—21no—
1052C23×C3—21no—
1053C23×C3—21no—
1054C23×C3—21no—
1055C23×C3—21no—
1056C23×C3—21no—
1057C23×C3—21no—
1058C23×C3—21no—
1059C23×C3—21no—
1060C23×C3—21no—
1061C23×C3—21no—
1062C23×C3—21no—
1063C23×C3—21no—
1064C23×C3—21no—
1065C23×C3—21no—
1066C23×C3—21no—
1067C23×C3—21no—
1068C23×C3—21no—
1069C23×C3—21no—
1070C23×C3—21no—
1071C23×C3—21no—
1072C23×C3—21no—
1073C23×C3—44no—
1074C23×C3—44no—
1075C23×C3—44no—
1076C23×C3—44no—
1077C23×C3—44no—
1078C23×C3—44no—
1079C23×C3—44no—
1080C23×C3—44no—
1081C23×C3—44no—
1082C23×C3—44no—
1083C23×C3—82no—
1084C23×C3—82no—
1085C23×C3—82no—
1086C23×C3C22×D412yes—
1087C23×C3C2×#4112yes—
1088C23×C3C2×#4112yes—
1089C23×C3C2×#4112yes—
1090C23×C3H(5,𝔽2)12yes—
1091C23×C3H(5,𝔽2)12yes—
1092C23×C3C2511yescharacteristic
1093C22×D3—21no—
1094C22×D3—21no—
1095C22×D3—21no—
1096C22×D3—21no—
1097C22×D3—21no—
1098C22×D3—21no—
1099C22×D3—21no—
1100C22×D3—21no—
1101C22×D3—21no—
1102C22×D3—21no—
1103C22×D3—21no—
1104C22×D3—21no—
1105C22×D3—21no—
1106C22×D3—21no—
1107C22×D3—21no—
1108C22×D3—21no—
1109C22×D3—21no—
1110C22×D3—21no—
1111C22×D3—21no—
1112C22×D3—21no—
1113C22×D3—21no—
1114C3×D4—44no—
1115C3×D4—44no—
1116C3×D4—44no—
1117C3×D4—44no—
1118C2×C3×C4—28no—
1119C2×C3×C4—21no—
1120C2×C3×C4—21no—
1121C2×C3×C4—21no—
1122C2×C3×C4—21no—
1123C2×C3×C4—21no—
1124C2×C3×C4—21no—
1125C2×C3×C4—21no—
1126C2×C3×C4—21no—
1127C2×C3×C4—21no—
1128C2×C3×C4—21no—
1129C2×C3×C4—21no—
1130C2×C3×C4—21no—
1131C2×C3×C4—21no—
1132C2×C3×C4—21no—
1133C2×C3×C4—21no—
1134C2×C3×C4—21no—
1135C2×C3×C4—21no—
1136C2×C3×C4—21no—
1137C2×C3×C4—21no—
1138C2×C3×C4—21no—
1139C2×C3×C4—21no—
1140C2×C3×C4—21no—
1141C2×C3×C4—21no—
1142C2×C3×C4—21no—
1143C2×C3×C4—21no—
1144C2×C3×C4—21no—
1145C2×C3×C4—44no—
1146C2×C3×C4—44no—
1147C2×C3×C4—44no—
1148C2×C3×C4—44no—
1149C2×C3×C4—44no—
1150C2×C3×C4—44no—
1151C2×C3×C4—44no—
1152C2×C3×C4—82no—
1153C2×C3×C4C22×D412yes—
1154C2×C3×C4C22×D412yes—
1155C2×C3×C4C2×#4112yes—
1156C2×C3×C4H(5,𝔽2)12yes—
1157#67—44no—
1158#67—44no—
1159#67—44no—
1160#67—44no—
1161#67—44no—
1162#67—44no—
1163#67—44no—
1164#67—44no—
1165#67—44no—
1166#67—44no—
1167#67—44no—
1168#67—82no—
1169#67—82no—
1170#67—82no—
1171#67—82no—
1172C2×Dic3—21no—
1173C2×Dic3—21no—
1174C2×Dic3—21no—
1175C2×Dic3—21no—
1176C2×Dic3—21no—
1177C2×Dic3—21no—
1178C2×Dic3—21no—
1179C2×Dic3—21no—
1180C2×Dic3—21no—
1181C2×Dic3—21no—
1182C2×Dic3—21no—
1183C2×Dic3—21no—
1184C2×Dic3—21no—
1185C2×Dic3—21no—
1186C2×Dic3—21no—
1187C2×Dic3—21no—
1188C2×Dic3—21no—
1189C2×Dic3—21no—
1190C2×Dic3—21no—
1191C2×Dic3—21no—
1192C2×Dic3—21no—
1193C2×Dic3—21no—
1194C2×Dic3—21no—
1195C2×Dic3—21no—
1196C2×Dic3—21no—
1197C2×Dic3—21no—
1198C2×Dic3—21no—
1199C2×Dic3—21no—
1200C2×Dic3—21no—
1201C2×Dic3—21no—
1202C2×Dic3—21no—
1203C2×Dic3—21no—
1204C2×Dic3—21no—
1205C2×Dic3—44no—
1206C2×Dic3—82no—
1207C2×Dic3C22×D412yes—
1208C2×Dic3C22×D412yes—
1209C2×Dic3C22×D412yes—
1210C2×Dic3C22×D412yes—
1211C2×Dic3C2×#4112yes—
1212C2×Dic3C2×#4112yes—
1213D12—44no—
1214D12—82no—
1215D12—82no—
1216C4×D3—44no—
1217C4×D3—44no—
1218C4×D3—82no—
1219Dic6—44no—
1220C24—22no—
1221C24—22no—
1222C24—22no—
1223C24—22no—
1224C24—22no—
1225C24—22no—
1226C24—22no—
1227C24—22no—
1228C24—22no—
1229C24—31no—
1230C24—31no—
1231C24—31no—
1232C24—41no—
1233C24—41no—
1234C24—41no—
1235C24—41no—
1236C24—41no—
1237C24C23×D311yescharacteristic
1238C24C23×D311yescharacteristic
1239C24C23×D311yescharacteristic
1240C24C23×D311yescharacteristic
1241C24C23×D311yescharacteristic
1242#41—1216no—
1243C2×Q8—34no—
1244C2×Q8—121no—
1245C2×Q8—121no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—416no—
1258C2×D4—62no—
1259C2×D4—62no—
1260C2×D4—62no—
1261C2×D4—62no—
1262C2×D4—62no—
1263C2×D4—62no—
1264C2×D4—62no—
1265C2×D4—62no—
1266C2×D4—62no—
1267C2×D4—62no—
1268C2×D4—62no—
1269C2×D4—62no—
1270C2×D4—62no—
1271C2×D4—62no—
1272C2×D4—62no—
1273C2×D4—62no—
1274C2×D4—62no—
1275C2×D4—62no—
1276C2×D4—62no—
1277C2×D4—62no—
1278C2×D4—62no—
1279C2×D4—62no—
1280C2×D4—62no—
1281C2×D4—62no—
1282C2×D4—62no—
1283C2×D4—62no—
1284C2×D4—62no—
1285C2×D4—62no—
1286C2×D4—62no—
1287C2×D4—62no—
1288C2×D4—121no—
1289C2×D4—121no—
1290C2×D4—121no—
1291C2×D4—121no—
1292C2×D4—121no—
1293C2×D4—121no—
1294C2×D4—121no—
1295C2×D4—121no—
1296C2×D4—121no—
1297C2×D4—121no—
1298C2×D4—121no—
1299C2×D4—121no—
1300C2×D4—121no—
1301C2×D4—121no—
1302C2×D4—121no—
1303C2×D4—121no—
1304C2×D4—121no—
1305C2×D4—121no—
1306C2×D4—121no—
1307C2×D4—121no—
1308C2×D4—121no—
1309C2×D4—121no—
1310C2×D4—121no—
1311C2×D4—121no—
1312C2×D4#23514yescomplemented
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—31no—
1330C22×C4—31no—
1331C22×C4—31no—
1332C22×C4—31no—
1333C22×C4—31no—
1334C22×C4—31no—
1335C22×C4—31no—
1336C22×C4—31no—
1337C22×C4—31no—
1338C22×C4—31no—
1339C22×C4—31no—
1340C22×C4—31no—
1341C22×C4—31no—
1342C22×C4—41no—
1343C22×C4—41no—
1344C22×C4—41no—
1345C22×C4—41no—
1346C22×C4—41no—
1347C22×C4—41no—
1348C22×C4—41no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—416no—
1353C22×C4—62no—
1354C22×C4—62no—
1355C22×C4—62no—
1356C22×C4—62no—
1357C22×C4—62no—
1358C22×C4—62no—
1359C22×C4—62no—
1360C22×C4—62no—
1361C22×C4—121no—
1362C22×C4—121no—
1363C22×C4—121no—
1364C22×C4—121no—
1365C22×C4—121no—
1366C22×C4—121no—
1367C22×C4—121no—
1368C22×C4D3×D414yes—
1369C22×C4C23×D311yescharacteristic
1370C22×C4C23×D311yescharacteristic
1371C22×C4C23×D311yescharacteristic
1372C22×C4C23×D311yescharacteristic
1373C22×C4C23×D311yescharacteristic
1374C22×C4C23×D311yescharacteristic
1375C22×C4C23×D311yescharacteristic
1376C22×C4C23×D311yescharacteristic
1377C22×C4C23×D311yescharacteristic
1378C22×C4C23×D311yescharacteristic
1379C4⋊C4—34no—
1380C4⋊C4—34no—
1381C4⋊C4—34no—
1382C4⋊C4—62no—
1383C4⋊C4—62no—
1384C4⋊C4—62no—
1385C4⋊C4—62no—
1386C4⋊C4—62no—
1387C4⋊C4—62no—
1388C4⋊C4—62no—
1389C4⋊C4—62no—
1390C4⋊C4—62no—
1391C4⋊C4—62no—
1392C4⋊C4—62no—
1393C4⋊C4—62no—
1394C4⋊C4—121no—
1395C4⋊C4—121no—
1396C4⋊C4—121no—
1397C4⋊C4—121no—
1398C4⋊C4—121no—
1399C4⋊C4—121no—
1400C4⋊C4—121no—
1401C4⋊C4—121no—
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—34no—
1409C22⋊C4—34no—
1410C22⋊C4—34no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C22⋊C4—41no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—62no—
1418C22⋊C4—62no—
1419C22⋊C4—62no—
1420C22⋊C4—62no—
1421C22⋊C4—62no—
1422C22⋊C4—62no—
1423C22⋊C4—62no—
1424C22⋊C4—62no—
1425C22⋊C4—62no—
1426C22⋊C4—62no—
1427C22⋊C4—62no—
1428C22⋊C4—62no—
1429C22⋊C4—62no—
1430C22⋊C4—62no—
1431C22⋊C4—62no—
1432C22⋊C4—62no—
1433C22⋊C4—62no—
1434C22⋊C4—62no—
1435C22⋊C4—62no—
1436C22⋊C4—62no—
1437C22⋊C4—62no—
1438C22⋊C4—62no—
1439C22⋊C4—62no—
1440C22⋊C4—62no—
1441C22⋊C4—62no—
1442C22⋊C4—62no—
1443C22⋊C4—62no—
1444C22⋊C4—121no—
1445C22⋊C4—121no—
1446C22⋊C4—121no—
1447C22⋊C4—121no—
1448C22⋊C4—121no—
1449C22⋊C4—121no—
1450C22⋊C4—121no—
1451C22⋊C4—121no—
1452C22⋊C4—121no—
1453C22⋊C4—121no—
1454C22⋊C4—121no—
1455C22⋊C4—121no—
1456C22⋊C4—121no—
1457C22⋊C4—121no—
1458C42—62no—
1459C42—62no—
1460C42—62no—
1461C42—62no—
1462C42—62no—
1463C42—62no—
1464C42—121no—
1465C42—121no—
1466C42—121no—
1467C42—121no—
1468C42—121no—
1469C22×C3—22no—
1470C22×C3—22no—
1471C22×C3—22no—
1472C22×C3—22no—
1473C22×C3—22no—
1474C22×C3—22no—
1475C22×C3—22no—
1476C22×C3—22no—
1477C22×C3—22no—
1478C22×C3—22no—
1479C22×C3—22no—
1480C22×C3—22no—
1481C22×C3—22no—
1482C22×C3—22no—
1483C22×C3—22no—
1484C22×C3—416no—
1485C22×C3—41no—
1486C22×C3—41no—
1487C22×C3—41no—
1488C22×C3—41no—
1489C22×C3—41no—
1490C22×C3—41no—
1491C22×C3—41no—
1492C22×C3—41no—
1493C22×C3—41no—
1494C22×C3—41no—
1495C22×C3—41no—
1496C22×C3—41no—
1497C22×C3—41no—
1498C22×C3—41no—
1499C22×C3—41no—
1500C22×C3—41no—
1501C22×C3—41no—
1502C22×C3—41no—
1503C22×C3—41no—
1504C22×C3—88no—
1505C22×C3#55014yes—
1506C22×C3C23×D411yescharacteristic
1507C22×C3C22×#4111yescharacteristic
1508C22×C3C22×#4111yescharacteristic
1509C22×C3C2×H(5,𝔽2)11yescharacteristic
1510C22×C3C2×H(5,𝔽2)11yescharacteristic
1511C22×C3C2×H(5,𝔽2)11yescharacteristic
1512C22×C3#58511yescharacteristic
1513C2×D3—41no—
1514C2×D3—41no—
1515C2×D3—41no—
1516C2×D3—41no—
1517C2×D3—41no—
1518C2×D3—41no—
1519C2×D3—41no—
1520C2×D3—41no—
1521C2×D3—41no—
1522C2×D3—41no—
1523C2×D3—41no—
1524C2×D3—41no—
1525C2×D3—41no—
1526C2×D3—41no—
1527C2×D3—41no—
1528C2×D3—41no—
1529C2×D3—41no—
1530C2×D3—41no—
1531C2×D3—41no—
1532C2×D3—41no—
1533C2×D3—41no—
1534C3×C4—22no—
1535C3×C4—22no—
1536C3×C4—22no—
1537C3×C4—22no—
1538C3×C4—41no—
1539C3×C4—41no—
1540C3×C4—41no—
1541C3×C4—41no—
1542C3×C4—41no—
1543C3×C4—41no—
1544Dic3—22no—
1545Dic3—22no—
1546Dic3—22no—
1547Dic3—22no—
1548Dic3—22no—
1549Dic3—22no—
1550Dic3—41no—
1551Dic3—41no—
1552Dic3—41no—
1553Dic3—41no—
1554Dic3—41no—
1555Dic3—41no—
1556Dic3—41no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—28no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—44no—
1588C23—44no—
1589C23—44no—
1590C23—44no—
1591C23—44no—
1592C23—44no—
1593C23—44no—
1594C23—44no—
1595C23—44no—
1596C23—44no—
1597C23—61no—
1598C23—61no—
1599C23—61no—
1600C23—61no—
1601C23—61no—
1602C23—61no—
1603C23—61no—
1604C23—61no—
1605C23—61no—
1606C23—61no—
1607C23—61no—
1608C23—61no—
1609C23—61no—
1610C23—61no—
1611C23—61no—
1612C23—61no—
1613C23—61no—
1614C23—61no—
1615C23—61no—
1616C23—61no—
1617C23—61no—
1618C23—82no—
1619C23—82no—
1620C23—82no—
1621C23C2×#23512yes—
1622C23C2×#23512yes—
1623C23C2×D3×D412yes—
1624C23#100412yes—
1625C23#100412yes—
1626C23D3×#4112yes—
1627C23C24×D311yescharacteristic
1628Q8—124no—
1629D4—44no—
1630D4—44no—
1631D4—44no—
1632D4—44no—
1633D4—124no—
1634D4—124no—
1635D4—124no—
1636D4—124no—
1637D4—124no—
1638D4—124no—
1639D4—124no—
1640D4—124no—
1641D4—124no—
1642D4—124no—
1643D4—124no—
1644D4—124no—
1645D4—242no—
1646D4—242no—
1647D4—242no—
1648D4—242no—
1649D4—242no—
1650D4—242no—
1651C2×C4—28no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—32no—
1679C2×C4—32no—
1680C2×C4—32no—
1681C2×C4—32no—
1682C2×C4—32no—
1683C2×C4—32no—
1684C2×C4—44no—
1685C2×C4—44no—
1686C2×C4—44no—
1687C2×C4—44no—
1688C2×C4—44no—
1689C2×C4—44no—
1690C2×C4—44no—
1691C2×C4—61no—
1692C2×C4—61no—
1693C2×C4—61no—
1694C2×C4—61no—
1695C2×C4—61no—
1696C2×C4—61no—
1697C2×C4—61no—
1698C2×C4—61no—
1699C2×C4—61no—
1700C2×C4—61no—
1701C2×C4—61no—
1702C2×C4—61no—
1703C2×C4—61no—
1704C2×C4—61no—
1705C2×C4—61no—
1706C2×C4—61no—
1707C2×C4—61no—
1708C2×C4—61no—
1709C2×C4—61no—
1710C2×C4—61no—
1711C2×C4—61no—
1712C2×C4—61no—
1713C2×C4—61no—
1714C2×C4—61no—
1715C2×C4—61no—
1716C2×C4—61no—
1717C2×C4—61no—
1718C2×C4—61no—
1719C2×C4—61no—
1720C2×C4—61no—
1721C2×C4—61no—
1722C2×C4—61no—
1723C2×C4—61no—
1724C2×C4—82no—
1725C2×C4—124no—
1726C2×C4—124no—
1727C2×C4—124no—
1728C2×C4—242no—
1729C2×C4—242no—
1730C2×C4C2×#23512yes—
1731C2×C4C2×D3×D412yes—
1732C2×C4C2×D3×D412yes—
1733C2×C4#100412yes—
1734C2×C3—24no—
1735C2×C3—42no—
1736C2×C3—42no—
1737C2×C3—42no—
1738C2×C3—81no—
1739C2×C3C2×#55011yescharacteristic
1740C2×C3D4×#4111yescharacteristic
1741C2×C3#348111yescharacteristic
1742C2×C3#348411yescharacteristic
1743C2×C3#349011yescharacteristic
1744C2×C3#351311yescharacteristic
1745C2×C3#354211yescharacteristic
1746D3—81no—
1747D3—81no—
1748D3—81no—
1749C22—22no—
1750C22—22no—
1751C22—22no—
1752C22—22no—
1753C22—22no—
1754C22—22no—
1755C22—22no—
1756C22—22no—
1757C22—22no—
1758C22—22no—
1759C22—22no—
1760C22—22no—
1761C22—22no—
1762C22—22no—
1763C22—22no—
1764C22—416no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—88no—
1785C22—121no—
1786C22—121no—
1787C22—121no—
1788C22—121no—
1789C22—121no—
1790C22—121no—
1791C22—121no—
1792C22—121no—
1793C22—121no—
1794C22—121no—
1795C22—121no—
1796C22—121no—
1797C22—121no—
1798C22—121no—
1799C22—121no—
1800C22—121no—
1801C22—121no—
1802C22—121no—
1803C22—121no—
1804C22—121no—
1805C22—121no—
1806C22#559914yes—
1807C22C22×#23511yescharacteristic
1808C22C22×D3×D411yescharacteristic
1809C22C2×#100411yescharacteristic
1810C22C2×#100411yescharacteristic
1811C22C2×#100411yescharacteristic
1812C22C2×D3×#4111yescharacteristic
1813C22#596411yescharacteristic
1814C4—22no—
1815C4—22no—
1816C4—22no—
1817C4—22no—
1818C4—41no—
1819C4—41no—
1820C4—41no—
1821C4—41no—
1822C4—41no—
1823C4—41no—
1824C4—62no—
1825C4—62no—
1826C4—62no—
1827C4—62no—
1828C4—62no—
1829C4—62no—
1830C4—121no—
1831C4—121no—
1832C4—121no—
1833C4—121no—
1834C4—121no—
1835C4—121no—
1836C4—121no—
1837C3#5904511yescharacteristic, complemented, Sylow
1838C2—24no—
1839C2—42no—
1840C2—42no—
1841C2—42no—
1842C2—81no—
1843C2—241no—
1844C2—241no—
1845C2—241no—
1846C2#8569711yescharacteristic
1847C2D4×#23511yescharacteristic
1848C2#8578511yescharacteristic
1849C2#8591911yescharacteristic
1850C2C2×#559911yescharacteristic
1851C2#8595611yescharacteristic
1852C2#8601311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC2×C3×#386C2
hypercenterC2×#386D3
hypocenterC3#59045
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#386

Complements

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

NH ≅ G/Ntype
1. C2×#5791C2semidirect
2. C2×#5495C2semidirect
3. C2×C3×#386C2semidirect
4. #84049C2semidirect
5. #84048C2semidirect
6. C4×#953C2semidirect
7. #82115C2semidirect
8. #82115C2semidirect
9. #82109C2semidirect
10. #82106C2semidirect
11. #82099C2semidirect
12. #74899C2semidirect
13. #74898C2semidirect
14. #74830C2semidirect
15. #74829C2semidirect
16. #74823C2semidirect
17. #74792C2semidirect
18. #74755C2semidirect
19. #74734C2semidirect
20. #74725C2semidirect
21. #74724C2semidirect
22. #74721C2semidirect
23. #74708C2semidirect
24. #74700C2semidirect
25. #74688C2semidirect
26. #74679C2semidirect
27. #74677C2semidirect
28. #73378C2semidirect
29. #73349C2semidirect
30. #73339C2semidirect
31. #73337C2semidirect
35. C22×#235C22semidirect
54. C2×#930C22semidirect
58. C2×#929C22semidirect
59. C2×#929C22semidirect
63. C2×C4×#67C22semidirect
64. C2×C4×#67C22semidirect
65. C2×C4×#67C22semidirect
66. C2×C4×#67C22semidirect
68. C2×#926C22semidirect
70. C2×#924C22semidirect
72. C2×#886C22semidirect
73. C2×#885C22semidirect
74. C2×#884C22semidirect
75. C2×#883C22semidirect
76. C2×#67⋊C4C22semidirect
77. C2×#67⋊C4C22semidirect
78. C2×#879C22semidirect
79. C2×#879C22semidirect
80. C2×#878C22semidirect
81. C2×#877C22semidirect
108. #5213C22semidirect
109. #5213C22semidirect
113. #5210C22semidirect
114. #5210C22semidirect
118. C4×#217C22semidirect
119. C4×#217C22semidirect
120. #4961C22semidirect
121. #4961C22semidirect
122. #4960C22semidirect
123. #4960C22semidirect
124. #4960C22semidirect
125. #4960C22semidirect
126. #4960C22semidirect
127. #4959C22semidirect
128. #4959C22semidirect
129. #4958C22semidirect
130. #4957C22semidirect
131. #4957C22semidirect
132. #4957C22semidirect
133. #4957C22semidirect
134. #4957C22semidirect
135. #4957C22semidirect
136. #4957C22semidirect
137. #4957C22semidirect
138. #4957C22semidirect
139. #4957C22semidirect
140. #4957C22semidirect
141. #4957C22semidirect
142. #4956C22semidirect
143. #4956C22semidirect
144. #4951C22semidirect
145. #4949C22semidirect
146. #4949C22semidirect
147. #4949C22semidirect
148. #4949C22semidirect
149. #4948C22semidirect
150. #4948C22semidirect
151. #4948C22semidirect
152. #4946C22semidirect
153. #4945C22semidirect
154. #4945C22semidirect
155. #4945C22semidirect
156. #4944C22semidirect
157. Dic3×C22⋊C4C22semidirect
158. #4676C22semidirect
159. #4675C22semidirect
160. #4674C22semidirect
161. #4672C22semidirect
162. #4672C22semidirect
163. #4671C22semidirect
164. #4670C22semidirect
165. #4670C22semidirect
166. #4670C22semidirect
167. #4669C22semidirect
168. #4669C22semidirect
169. #4668C22semidirect
170. #4667C22semidirect
171. #4666C22semidirect
172. #4665C22semidirect
173. #4665C22semidirect
174. #4665C22semidirect
175. #4661C22semidirect
176. #4657C22semidirect
177. #4655C22semidirect
178. #4653C22semidirect
179. #4653C22semidirect
180. #4652C22semidirect
181. #4652C22semidirect
182. #4652C22semidirect
183. #4649C22semidirect
184. #4649C22semidirect
185. #4649C22semidirect
186. #4647C22semidirect
187. #4647C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
220. C2×#386D3semidirect
364. #924D4semidirect
620. C2×C3×D4#41semidirect
744. C2×Dic6C2×D4semidirect
779. #217#41semidirect
806. C4⋊Dic3C2×D4semidirect
822. Dic3⋊C4C2×D4semidirect
823. Dic3⋊C4C2×D4semidirect
1312. C2×D4#235semidirect
1837. C3#59045semidirect

Maximal subgroups

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

subgroupindex
C2×#57912
C2×#54952
C2×C3×#3862
#840492
#840482
C4×#9532
#821152
#821092
#821062
#820992
#748992
#748982
#748302
#748292
#748232
#747922
#747552
#747342
#747252
#747242
#747212
#747082
#747002
#746882
#746792
#746772
#733782
#733492
#733392
#733372
#590453