Finite Group Databasebeta

← #11634162

Subgroups — #11634162

Order 768.

3338 conjugacy classes of subgroups.

The subgroup lattice has 1974 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5655C211yesmaximal, characteristic, complemented
2C2×#5599C211yesmaximal, characteristic, complemented
3C2×#5548C211yesmaximal, characteristic, complemented
4C2×#5553C211yesmaximal, characteristic, complemented
5C3×#2456C211yesmaximal, characteristic, complemented
6#82906C211yesmaximal, characteristic, complemented
7#82650C211yesmaximal, characteristic, complemented
8#82411C211yesmaximal, characteristic, complemented
9#82340C211yesmaximal, characteristic, complemented
10#77286C211yesmaximal, characteristic, complemented
11#77284C211yesmaximal, characteristic, complemented
12#76768C211yesmaximal, characteristic, complemented
13#76712C211yesmaximal, characteristic, complemented
14#76688C211yesmaximal, characteristic, complemented
15#76688C211yesmaximal, characteristic, complemented
16#76688C211yesmaximal, characteristic, complemented
17#76672C211yesmaximal, characteristic, complemented
18#76348C211yesmaximal, characteristic, complemented
19#76312C211yesmaximal, characteristic, complemented
20#75504C211yesmaximal, characteristic, complemented
21#75503C211yesmaximal, characteristic, complemented
22#75452C211yesmaximal, characteristic, complemented
23#75452C211yesmaximal, characteristic, complemented
24#75387C211yesmaximal, characteristic, complemented
25#74967C211yesmaximal, characteristic, complemented
26#74700C211yesmaximal, characteristic, complemented
27#74698C211yesmaximal, characteristic, complemented
28#74692C211yesmaximal, characteristic, complemented
29#74688C211yesmaximal, characteristic, complemented
30#74404C211yesmaximal, characteristic, complemented
31#74397C211yesmaximal, characteristic, complemented
32#59051—31nomaximal, Sylow
33C22×#237C2211yescharacteristic
34C22×#235C2211yescharacteristic
35C22×#235C2211yescharacteristic
36C22×#235C2211yescharacteristic
37C2×C3×#123C2211yescharacteristic
38C2×C3×#121C2211yescharacteristic
39C2×C3×C4×D4C2211yescharacteristic
40C2×C3×C4×D4C2211yescharacteristic
41C2×#940C2211yescharacteristic
42C2×#940C2211yescharacteristic
43C2×#940C2211yescharacteristic
44C2×#940C2211yescharacteristic
45C2×#940C2211yescharacteristic
46C2×#940C2211yescharacteristic
47C2×#940C2211yescharacteristic
48C2×#940C2211yescharacteristic
49C2×#939C2211yescharacteristic
50C2×#939C2211yescharacteristic
51C2×#939C2211yescharacteristic
52C2×#939C2211yescharacteristic
53C2×#939C2211yescharacteristic
54C2×#939C2211yescharacteristic
55C2×#938C2211yescharacteristic
56C2×#930C2211yescharacteristic
57C2×#930C2211yescharacteristic
58C2×C4×#67C2211yescharacteristic
59C2×C4×#67C2211yescharacteristic
60C2×C4×#67C2211yescharacteristic
61C22×Dic3⋊C4C2211yescharacteristic
62#5655—28no—
63#5599—28no—
64#5553—28no—
65#5548—28no—
66C2×#896C2211yescharacteristic
67C2×#895C2211yescharacteristic
68C2×#895C2211yescharacteristic
69C2×#894C2211yescharacteristic
70C2×#893C2211yescharacteristic
71C2×#893C2211yescharacteristic
72C2×#893C2211yescharacteristic
73C2×D3×C4⋊C4C2211yescharacteristic
74C2×#888C2211yescharacteristic
75C2×#887C2211yescharacteristic
76C2×#886C2211yescharacteristic
77C2×#885C2211yescharacteristic
78C2×#885C2211yescharacteristic
79C2×#884C2211yescharacteristic
80C2×#884C2211yescharacteristic
81C2×#884C2211yescharacteristic
82C2×#884C2211yescharacteristic
83C2×#884C2211yescharacteristic
84C2×#884C2211yescharacteristic
85C2×#884C2211yescharacteristic
86C2×#884C2211yescharacteristic
87C2×#884C2211yescharacteristic
88C2×#884C2211yescharacteristic
89C2×#884C2211yescharacteristic
90C2×#884C2211yescharacteristic
91C2×#883C2211yescharacteristic
92C2×#67⋊C4C2211yescharacteristic
93C2×#67⋊C4C2211yescharacteristic
94C2×#67⋊C4C2211yescharacteristic
95C2×#67⋊C4C2211yescharacteristic
96C2×#67⋊C4C2211yescharacteristic
97C2×#878C2211yescharacteristic
98C2×#874C2211yescharacteristic
99C2×C4×D12C2211yescharacteristic
100C2×C42×D3C2211yescharacteristic
101C2×C4×Dic6C2211yescharacteristic
102C3×#396C2211yescharacteristic
103C3×#392C2211yescharacteristic
104C3×#392C2211yescharacteristic
105C3×#392C2211yescharacteristic
106C3×#390C2211yescharacteristic
107C3×#388C2211yescharacteristic
108C3×#388C2211yescharacteristic
109C3×#387C2211yescharacteristic
110C3×#386C2211yescharacteristic
111C3×#386C2211yescharacteristic
112C3×#385C2211yescharacteristic
113#5223C2211yescharacteristic
114#5223C2211yescharacteristic
115#5223C2211yescharacteristic
116#5223C2211yescharacteristic
117#5223C2211yescharacteristic
118#5223C2211yescharacteristic
119#5222C2211yescharacteristic
120#5220C2211yescharacteristic
121#5213C2211yescharacteristic
122#5213C2211yescharacteristic
123#5210C2211yescharacteristic
124#4994C2211yescharacteristic
125#4991C2211yescharacteristic
126#4991C2211yescharacteristic
127#4990C2211yescharacteristic
128#4989C2211yescharacteristic
129#4988C2211yescharacteristic
130#4980C2211yescharacteristic
131#4976C2211yescharacteristic
132#4976C2211yescharacteristic
133#4976C2211yescharacteristic
134#4961C2211yescharacteristic
135#4961C2211yescharacteristic
136#4960C2211yescharacteristic
137#4960C2211yescharacteristic
138#4960C2211yescharacteristic
139#4960C2211yescharacteristic
140#4960C2211yescharacteristic
141#4960C2211yescharacteristic
142#4960C2211yescharacteristic
143#4959C2211yescharacteristic
144#4959C2211yescharacteristic
145#4958C2211yescharacteristic
146#4957C2211yescharacteristic
147#4957C2211yescharacteristic
148#4957C2211yescharacteristic
149#4957C2211yescharacteristic
150#4957C2211yescharacteristic
151#4957C2211yescharacteristic
152#4957C2211yescharacteristic
153#4957C2211yescharacteristic
154#4956C2211yescharacteristic
155#4956C2211yescharacteristic
156#4956C2211yescharacteristic
157#4956C2211yescharacteristic
158#4956C2211yescharacteristic
159#4951C2211yescharacteristic
160#4948C2211yescharacteristic
161#4944C2211yescharacteristic
162Dic3×C22⋊C4C2211yescharacteristic
163Dic3×C22⋊C4C2211yescharacteristic
164#4940C2211yescharacteristic
165#4940C2211yescharacteristic
166#4940C2211yescharacteristic
167C4×Dic3⋊C4C2211yescharacteristic
168#4676C2211yescharacteristic
169#4672C2211yescharacteristic
170#4671C2211yescharacteristic
171#4671C2211yescharacteristic
172#4671C2211yescharacteristic
173#4671C2211yescharacteristic
174#4668C2211yescharacteristic
175#4667C2211yescharacteristic
176#4667C2211yescharacteristic
177#4666C2211yescharacteristic
178#4666C2211yescharacteristic
179#4665C2211yescharacteristic
180#4665C2211yescharacteristic
181#4665C2211yescharacteristic
182#4665C2211yescharacteristic
183#4665C2211yescharacteristic
184#4654C2211yescharacteristic
185#4653C2211yescharacteristic
186#4649C2211yescharacteristic
187#4649C2211yescharacteristic
188#4649C2211yescharacteristic
189#4647C2211yescharacteristic
190#4646C2211yescharacteristic
191#4646C2211yescharacteristic
192C2×#550—31no—
193C2×#550—31no—
194C2×#547—31no—
195C2×#532—31no—
196#2673—31no—
197#2673—31no—
198#2673—31no—
199#2673—31no—
200#2541—31no—
201#2541—31no—
202#2541—31no—
203#2541—31no—
204#2456—31no—
205#2456—31no—
206#2456—31no—
207#2456D311yescharacteristic, complemented
208#2431—31no—
209#2431—31no—
210#2428—31no—
211#2428—31no—
212#2426—31no—
213#2426—31no—
214#2416—31no—
215#2416—31no—
216#2407—31no—
217#2407—31no—
218#2365—31no—
219#2361—31no—
220#2361—31no—
221C4×#121—31no—
222C4×#121—31no—
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C22×#67C2311yescharacteristic
250C22×#67C2311yescharacteristic
251C22×#67C2311yescharacteristic
252C23×Dic3C2311yescharacteristic
253C23×Dic3C2311yescharacteristic
254C23×Dic3C2311yescharacteristic
255C2×#237—24no—
256C2×#237—24no—
257C2×#237—42no—
258C2×#235—24no—
259C2×#235—24no—
260C2×#235—24no—
261C2×#235—24no—
262C2×#235—24no—
263C2×#235—24no—
264C2×#235—42no—
265C2×#235—42no—
266C2×#235—42no—
267C22×D12C2311yescharacteristic
268C22×D12C2311yescharacteristic
269C22×D12C2311yescharacteristic
270C22×D12C2311yescharacteristic
271C22×D12C2311yescharacteristic
272C22×D12C2311yescharacteristic
273C22×D12C2311yescharacteristic
274C22×D12C2311yescharacteristic
275C22×D12C2311yescharacteristic
276C22×D12C2311yescharacteristic
277C22×C4×D3C2311yescharacteristic
278C22×C4×D3C2311yescharacteristic
279C22×C4×D3C2311yescharacteristic
280C22×C4×D3C2311yescharacteristic
281C22×C4×D3C2311yescharacteristic
282C22×C4×D3C2311yescharacteristic
283C22×C4×D3C2311yescharacteristic
284C22×C4×D3C2311yescharacteristic
285C22×C4×D3C2311yescharacteristic
286C22×Dic6C2311yescharacteristic
287C22×Dic6C2311yescharacteristic
288C3×#123—24no—
289C3×#121—24no—
290C3×C4×D4—24no—
291C3×C4×D4—24no—
292C2×C3×C4⋊C4C2311yescharacteristic
293C2×C3×C4⋊C4C2311yescharacteristic
294C2×C3×C4⋊C4C2311yescharacteristic
295C2×C3×C4⋊C4C2311yescharacteristic
296C2×C3×C4⋊C4C2311yescharacteristic
297C2×C3×C22⋊C4C2311yescharacteristic
298C2×C3×C22⋊C4C2311yescharacteristic
299C2×C3×C22⋊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×C42C2311yescharacteristic
311C2×C3×C42C2311yescharacteristic
312C2×#217C2311yescharacteristic
313C2×#217C2311yescharacteristic
314C2×#217C2311yescharacteristic
315C2×#217C2311yescharacteristic
316C2×#217C2311yescharacteristic
317C2×#217C2311yescharacteristic
318C2×#217C2311yescharacteristic
319C2×#217C2311yescharacteristic
320C2×#217C2311yescharacteristic
321#940—24no—
322#940—24no—
323#940—24no—
324#940—24no—
325#940—24no—
326#940—24no—
327#940—42no—
328#940—42no—
329#939—24no—
330#939—24no—
331#939—24no—
332#939—24no—
333#939—42no—
334#939—42no—
335#938—24no—
336#930—24no—
337#930—24no—
338C4×#67—24no—
339C4×#67—24no—
340C4×#67—24no—
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
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×C4⋊Dic3C2311yescharacteristic
368C2×C4⋊Dic3C2311yescharacteristic
369C2×C4⋊Dic3C2311yescharacteristic
370C2×Dic3⋊C4—24no—
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×Dic3⋊C4C2311yescharacteristic
383C2×Dic3⋊C4C2311yescharacteristic
384C2×Dic3⋊C4C2311yescharacteristic
385C2×C4×Dic3C2311yescharacteristic
386C2×C4×Dic3C2311yescharacteristic
387C2×C4×Dic3C2311yescharacteristic
388C2×C4×Dic3C2311yescharacteristic
389C2×C4×Dic3C2311yescharacteristic
390C2×C4×Dic3C2311yescharacteristic
391C2×C4×Dic3C2311yescharacteristic
392C2×C4×Dic3C2311yescharacteristic
393C2×C4×Dic3C2311yescharacteristic
394C2×C4×Dic3C2311yescharacteristic
395#896—24no—
396#895—24no—
397#895—24no—
398#894—24no—
399#893—24no—
400#893—24no—
401#893—42no—
402D3×C4⋊C4—24no—
403#888D418yescomplemented
404#887—24no—
405#886—24no—
406#885—24no—
407#885—24no—
408#884—24no—
409#884—24no—
410#884—24no—
411#884—24no—
412#884—24no—
413#884—24no—
414#884—24no—
415#884—24no—
416#884—24no—
417#884—42no—
418#884—42no—
419#884D418yescomplemented
420#883—24no—
421#67⋊C4—24no—
422#67⋊C4—24no—
423#67⋊C4—24no—
424#67⋊C4—24no—
425#67⋊C4—42no—
426#878—24no—
427#874—24no—
428C4×D12—24no—
429C42×D3—24no—
430C4×Dic6—24no—
431C3×#95C2311yescharacteristic
432C3×#95C2311yescharacteristic
433C3×#95C2311yescharacteristic
434C3×#95C2311yescharacteristic
435C3×#95C2311yescharacteristic
436C3×#95C2311yescharacteristic
437C3⋊#95C2311yescharacteristic
438C3⋊#95C2311yescharacteristic
439C3⋊#95C2311yescharacteristic
440C3⋊#95C2311yescharacteristic
441C3⋊#95C2311yescharacteristic
442C3⋊#95C2311yescharacteristic
443C3⋊#95C2311yescharacteristic
444C3⋊#95C2311yescharacteristic
445C3⋊#95C2311yescharacteristic
446C3⋊#95C2311yescharacteristic
447C3⋊#95C2311yescharacteristic
448C3⋊#95C2311yescharacteristic
449C3⋊#95C2311yescharacteristic
450C3⋊#95C2311yescharacteristic
451C22×#41—31no—
452C22×#41—31no—
453C22×#41—31no—
454C22×#41—31no—
455#550—68no—
456#550—68no—
457#547—68no—
458#532—68no—
459C2×C4⋊Q8—31no—
460C2×#127—31no—
461C2×#127—31no—
462C2×#127—31no—
463C2×#127—31no—
464C2×#127—31no—
465C2×#127—31no—
466C2×#127—31no—
467C2×#127—31no—
468C2×#127—31no—
469C2×#124—31no—
470C2×#124—31no—
471C2×#123—31no—
472C2×#123—31no—
473C2×#123—31no—
474C2×#123C2×D311yescharacteristic
475C2×C22⋊Q8—31no—
476C2×C22⋊Q8—31no—
477C2×#121—31no—
478C2×#121—31no—
479C2×#121—31no—
480C2×#121—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×#121—31no—
498C2×#121—31no—
499C2×#121—31no—
500C2×#121C2×D311yescharacteristic
501C2×C4×Q8—31no—
502C2×C4×Q8—31no—
503C2×C4×D4—31no—
504C2×C4×D4—31no—
505C2×C4×D4—31no—
506C2×C4×D4—31no—
507C2×C4×D4—31no—
508C2×C4×D4—31no—
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×D4C2×D311yescharacteristic
516C2×C4×D4C2×D311yescharacteristic
517C22×C4⋊C4—31no—
518C22×C4⋊C4—31no—
519C22×C42—31no—
520#396—31no—
521#396—31no—
522#396—31no—
523#396C2×D311yescharacteristic
524#394—31no—
525#394—31no—
526#394—31no—
527#394—31no—
528#394—31no—
529#394—31no—
530#394—31no—
531#394—31no—
532#392—31no—
533#392—31no—
534#392—31no—
535#392—31no—
536#392—31no—
537#392—31no—
538#392—31no—
539#392—31no—
540#392—31no—
541#392—31no—
542#392—31no—
543#392—31no—
544#392—31no—
545#392—31no—
546#392—31no—
547#392—31no—
548#392—31no—
549#392C2×D311yescharacteristic
550#392C2×D311yescharacteristic
551#392C2×D311yescharacteristic
552#391—31no—
553#391—31no—
554#390—31no—
555#390—31no—
556#390—31no—
557#390—31no—
558#390—31no—
559#390—31no—
560#390—31no—
561#390—31no—
562#390—31no—
563#390C2×D311yescharacteristic
564#389—31no—
565#389—31no—
566#389—31no—
567#389—31no—
568#388—31no—
569#388—31no—
570#388—31no—
571#388—31no—
572#388—31no—
573#388—31no—
574#388C2×D311yescharacteristic
575#388C2×D311yescharacteristic
576#387—31no—
577#387—31no—
578#387—31no—
579#387C2×D311yescharacteristic
580#386—31no—
581#386—31no—
582#386—31no—
583#386—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#386C2×D311yescharacteristic
595#386C2×D311yescharacteristic
596#385—31no—
597#385—31no—
598#385—31no—
599#385C2×D311yescharacteristic
600#380—31no—
601#380—31no—
602C4×C4⋊C4—31no—
603C4×C4⋊C4—31no—
604C4×C4⋊C4—31no—
605C4×C4⋊C4—31no—
606C4×C22⋊C4—31no—
607C4×C22⋊C4—31no—
608C4×C22⋊C4—31no—
609C4×C22⋊C4—31no—
610C24×C3C2411yescharacteristic
611C24×C3C2411yescharacteristic
612C24×C3C2411yescharacteristic
613C24×C3C2411yescharacteristic
614C23×D3C2411yescharacteristic
615C23×D3C2411yescharacteristic
616C23×D3C2411yescharacteristic
617C23×D3C2411yescharacteristic
618C23×D3C2411yescharacteristic
619C2×C3×D4—22no—
620C2×C3×D4—22no—
621C2×C3×D4—22no—
622C2×C3×D4—22no—
623C2×C3×D4—22no—
624C2×C3×D4—22no—
625C2×C3×D4—22no—
626C2×C3×D4—41no—
627C2×C3×D4—41no—
628C2×C3×D4—41no—
629C2×C3×D4—41no—
630C2×C3×D4—41no—
631C2×C3×D4—41no—
632C2×C3×D4—41no—
633C2×C3×D4—41no—
634C2×C3×D4—41no—
635C2×C3×D4—41no—
636C2×C3×D4—41no—
637C22×C3×C4—22no—
638C22×C3×C4—22no—
639C22×C3×C4—22no—
640C22×C3×C4—22no—
641C22×C3×C4—22no—
642C22×C3×C4—22no—
643C22×C3×C4—41no—
644C22×C3×C4—41no—
645C22×C3×C4—41no—
646C22×C3×C4C2411yescharacteristic
647C22×C3×C4C2411yescharacteristic
648C22×C3×C4C2411yescharacteristic
649C22×C3×C4C2411yescharacteristic
650C22×C3×C4C2411yescharacteristic
651C22×C3×C4C2411yescharacteristic
652C22×C3×C4C2411yescharacteristic
653C22×C3×C4C2411yescharacteristic
654C22×C3×C4C2411yescharacteristic
655C22×C3×C4C2411yescharacteristic
656C22×C3×C4C2411yescharacteristic
657C2×#67—22no—
658C2×#67—22no—
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—22no—
688C2×#67—22no—
689C2×#67—22no—
690C2×#67—22no—
691C2×#67—22no—
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—
704C2×#67—41no—
705C2×#67—41no—
706C2×#67—41no—
707C2×#67—41no—
708C2×#67—41no—
709C2×#67—41no—
710C2×#67—41no—
711C2×#67—41no—
712C2×#67—41no—
713C2×#67—41no—
714C2×#67—41no—
715C2×#67C2×D414yes—
716C2×#67C2×D414yes—
717C22×Dic3—22no—
718C22×Dic3—22no—
719C22×Dic3—22no—
720C22×Dic3—22no—
721C22×Dic3—22no—
722C22×Dic3—22no—
723C22×Dic3—22no—
724C22×Dic3—22no—
725C22×Dic3—41no—
726C22×Dic3C2411yescharacteristic
727C22×Dic3C2411yescharacteristic
728C22×Dic3C2411yescharacteristic
729C22×Dic3C2411yescharacteristic
730C22×Dic3C2411yescharacteristic
731C22×Dic3C2411yescharacteristic
732C22×Dic3C2411yescharacteristic
733C22×Dic3C2411yescharacteristic
734C22×Dic3C2411yescharacteristic
735C22×Dic3C2411yescharacteristic
736C22×Dic3C2411yescharacteristic
737#237—416no—
738#235—416no—
739#235—416no—
740#235—416no—
741C2×D12—22no—
742C2×D12—22no—
743C2×D12—22no—
744C2×D12—22no—
745C2×D12—22no—
746C2×D12—22no—
747C2×D12—22no—
748C2×D12—22no—
749C2×D12—22no—
750C2×D12—22no—
751C2×D12—22no—
752C2×D12—22no—
753C2×D12—22no—
754C2×D12—41no—
755C2×D12—41no—
756C2×D12—41no—
757C2×D12—41no—
758C2×D12—41no—
759C2×D12—41no—
760C2×D12—41no—
761C2×D12—41no—
762C2×D12—41no—
763C2×D12—41no—
764C2×D12—41no—
765C2×D12—41no—
766C2×D12—41no—
767C2×D12—41no—
768C2×D12—41no—
769C2×D12—41no—
770C2×D12C2×D414yes—
771C2×C4×D3—22no—
772C2×C4×D3—22no—
773C2×C4×D3—22no—
774C2×C4×D3—22no—
775C2×C4×D3—22no—
776C2×C4×D3—22no—
777C2×C4×D3—22no—
778C2×C4×D3—22no—
779C2×C4×D3—22no—
780C2×C4×D3—22no—
781C2×C4×D3—22no—
782C2×C4×D3—22no—
783C2×C4×D3—22no—
784C2×C4×D3—22no—
785C2×C4×D3—22no—
786C2×C4×D3—22no—
787C2×C4×D3—22no—
788C2×C4×D3—22no—
789C2×C4×D3—22no—
790C2×C4×D3—22no—
791C2×C4×D3—41no—
792C2×C4×D3—41no—
793C2×C4×D3—41no—
794C2×C4×D3—41no—
795C2×C4×D3—41no—
796C2×C4×D3—41no—
797C2×C4×D3C2×D414yes—
798C2×Dic6—22no—
799C2×Dic6—22no—
800C2×Dic6—22no—
801C2×Dic6—22no—
802C2×Dic6C2×D414yes—
803C2×Dic6C2×D414yes—
804C3×C4⋊C4—22no—
805C3×C4⋊C4—22no—
806C3×C4⋊C4—22no—
807C3×C4⋊C4—41no—
808C3×C4⋊C4C2×D414yes—
809C3×C22⋊C4—22no—
810C3×C22⋊C4—22no—
811C3×C22⋊C4—22no—
812C3×C22⋊C4—22no—
813C3×C22⋊C4—22no—
814C3×C22⋊C4—22no—
815C3×C22⋊C4—22no—
816C3×C22⋊C4—22no—
817C3×C22⋊C4—22no—
818C3×C22⋊C4—41no—
819C3×C22⋊C4—41no—
820C3×C22⋊C4—41no—
821C3×C22⋊C4C2×D414yes—
822C3×C42—22no—
823C3×C42—22no—
824#217—22no—
825#217—22no—
826#217—22no—
827#217—22no—
828#217—22no—
829#217—41no—
830#217—41no—
831#217—41no—
832#217—41no—
833(C2×D3)⋊C4—22no—
834(C2×D3)⋊C4—22no—
835(C2×D3)⋊C4—22no—
836(C2×D3)⋊C4—22no—
837(C2×D3)⋊C4—22no—
838(C2×D3)⋊C4—22no—
839(C2×D3)⋊C4—22no—
840(C2×D3)⋊C4—22no—
841(C2×D3)⋊C4—22no—
842(C2×D3)⋊C4—22no—
843(C2×D3)⋊C4—22no—
844(C2×D3)⋊C4—22no—
845(C2×D3)⋊C4—22no—
846(C2×D3)⋊C4—22no—
847(C2×D3)⋊C4—22no—
848(C2×D3)⋊C4—22no—
849(C2×D3)⋊C4—41no—
850(C2×D3)⋊C4—41no—
851(C2×D3)⋊C4—41no—
852(C2×D3)⋊C4—41no—
853(C2×D3)⋊C4—41no—
854(C2×D3)⋊C4—41no—
855(C2×D3)⋊C4—41no—
856(C2×D3)⋊C4—41no—
857(C2×D3)⋊C4—41no—
858(C2×D3)⋊C4C2×D414yes—
859C4⋊Dic3—22no—
860C4⋊Dic3—22no—
861C4⋊Dic3C2×D414yes—
862Dic3⋊C4—22no—
863Dic3⋊C4—22no—
864Dic3⋊C4—22no—
865Dic3⋊C4—22no—
866Dic3⋊C4—22no—
867Dic3⋊C4—22no—
868Dic3⋊C4—22no—
869Dic3⋊C4—22no—
870Dic3⋊C4—22no—
871Dic3⋊C4—41no—
872Dic3⋊C4C2×D414yes—
873Dic3⋊C4C2×D414yes—
874Dic3⋊C4C2×D414yes—
875Dic3⋊C4#4114yescomplemented
876C4×Dic3—22no—
877C4×Dic3—22no—
878C4×Dic3—22no—
879C4×Dic3—22no—
880C4×Dic3—22no—
881C4×Dic3—22no—
882C4×Dic3—22no—
883C4×Dic3—22no—
884C4×Dic3—22no—
885C4×Dic3C2×D414yes—
886C2×#41—64no—
887C2×#41—64no—
888C2×#41—64no—
889C2×#41—64no—
890C2×#41—64no—
891C2×#41—64no—
892C2×#41—64no—
893C2×#41—64no—
894C2×#41—122no—
895C2×#41—122no—
896C2×#41—122no—
897C2×#41—122no—
898C22×Q8—31no—
899C22×Q8—31no—
900C22×D4—31no—
901C22×D4—31no—
902C22×D4—31no—
903C22×D4—31no—
904C22×D4—31no—
905C22×D4—31no—
906C22×D4—31no—
907C22×D4—31no—
908C22×D4—31no—
909C22×D4—31no—
910C22×D4—31no—
911C22×D4—31no—
912C22×D4—31no—
913C22×D4—31no—
914C22×D4—31no—
915C22×D4—31no—
916C22×D4—31no—
917C22×D4—31no—
918C22×D4—31no—
919C22×D4—31no—
920C22×D4—31no—
921C22×D4—31no—
922C22×D4—31no—
923C22×D4—31no—
924C22×D4—31no—
925C22×D4—31no—
926C22×D4—31no—
927C22×D4—31no—
928C22×D4—31no—
929C22×D4—31no—
930C22×D4C22×D311yescharacteristic
931C22×D4C22×D311yescharacteristic
932C22×D4C22×D311yescharacteristic
933C22×D4C22×D311yescharacteristic
934C22×D4C22×D311yescharacteristic
935C22×D4C22×D311yescharacteristic
936C23×C4—31no—
937C23×C4—31no—
938C23×C4—31no—
939C23×C4—31no—
940C23×C4—31no—
941C23×C4—31no—
942C23×C4—31no—
943C23×C4—31no—
944C23×C4—31no—
945C23×C4—31no—
946C23×C4—31no—
947C23×C4—31no—
948C23×C4C22×D311yescharacteristic
949C23×C4C22×D311yescharacteristic
950C23×C4C22×D311yescharacteristic
951C4⋊Q8—38no—
952#127—64no—
953#127—64no—
954#127—64no—
955#127—64no—
956#127—64no—
957#127—64no—
958#127—64no—
959#127—122no—
960#127—122no—
961#124—64no—
962#124—64no—
963#123—24no—
964#123—64no—
965#123—64no—
966#123—64no—
967C22⋊Q8—64no—
968C22⋊Q8—64no—
969#121—24no—
970#121—38no—
971#121—64no—
972#121—64no—
973#121—64no—
974#121—64no—
975#121—64no—
976#121—64no—
977#121—64no—
978#121—64no—
979#121—64no—
980#121—64no—
981#121—64no—
982#121—64no—
983#121—64no—
984#121—64no—
985#121—64no—
986#121—64no—
987#121—64no—
988#121—64no—
989#121—122no—
990#121—122no—
991#121—122no—
992#121—122no—
993C4×Q8—64no—
994C4×Q8—64no—
995C4×D4—24no—
996C4×D4—24no—
997C4×D4—64no—
998C4×D4—64no—
999C4×D4—64no—
1000C4×D4—64no—
1001C4×D4—64no—
1002C4×D4—64no—
1003C4×D4—64no—
1004C4×D4—64no—
1005C4×D4—64no—
1006C4×D4—64no—
1007C4×D4—122no—
1008C4×D4—122no—
1009C2×C4⋊C4—31no—
1010C2×C4⋊C4—31no—
1011C2×C4⋊C4—31no—
1012C2×C4⋊C4—31no—
1013C2×C4⋊C4—31no—
1014C2×C4⋊C4—31no—
1015C2×C4⋊C4—31no—
1016C2×C4⋊C4—31no—
1017C2×C4⋊C4—31no—
1018C2×C4⋊C4—31no—
1019C2×C4⋊C4—31no—
1020C2×C4⋊C4—31no—
1021C2×C4⋊C4—31no—
1022C2×C4⋊C4—31no—
1023C2×C4⋊C4—31no—
1024C2×C4⋊C4—31no—
1025C2×C4⋊C4—31no—
1026C2×C4⋊C4—64no—
1027C2×C4⋊C4—64no—
1028C2×C4⋊C4C22×D311yescharacteristic
1029C2×C4⋊C4C22×D311yescharacteristic
1030C2×C4⋊C4C22×D311yescharacteristic
1031C2×C4⋊C4C22×D311yescharacteristic
1032C2×C4⋊C4C22×D311yescharacteristic
1033C2×C22⋊C4—31no—
1034C2×C22⋊C4—31no—
1035C2×C22⋊C4—31no—
1036C2×C22⋊C4—31no—
1037C2×C22⋊C4—31no—
1038C2×C22⋊C4—31no—
1039C2×C22⋊C4—31no—
1040C2×C22⋊C4—31no—
1041C2×C22⋊C4—31no—
1042C2×C22⋊C4—31no—
1043C2×C22⋊C4—31no—
1044C2×C22⋊C4—31no—
1045C2×C22⋊C4—31no—
1046C2×C22⋊C4—31no—
1047C2×C22⋊C4—31no—
1048C2×C22⋊C4—31no—
1049C2×C22⋊C4—31no—
1050C2×C22⋊C4—31no—
1051C2×C22⋊C4—31no—
1052C2×C22⋊C4—31no—
1053C2×C22⋊C4—31no—
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⋊C4C22×D311yescharacteristic
1069C2×C22⋊C4C22×D311yescharacteristic
1070C2×C22⋊C4C22×D311yescharacteristic
1071C2×C22⋊C4C22×D311yescharacteristic
1072C2×C22⋊C4C22×D311yescharacteristic
1073C2×C22⋊C4C22×D311yescharacteristic
1074C2×C22⋊C4C22×D311yescharacteristic
1075C2×C22⋊C4C22×D311yescharacteristic
1076C2×C22⋊C4C22×D311yescharacteristic
1077C2×C22⋊C4C22×D311yescharacteristic
1078C2×C22⋊C4C22×D311yescharacteristic
1079C2×C22⋊C4C22×D311yescharacteristic
1080C2×C22⋊C4C22×D311yescharacteristic
1081C2×C42—31no—
1082C2×C42—31no—
1083C2×C42—31no—
1084C2×C42—31no—
1085C2×C42—31no—
1086C2×C42—31no—
1087C2×C42—31no—
1088C2×C42—31no—
1089C2×C42—31no—
1090C2×C42—31no—
1091C2×C42—64no—
1092C2×C42C22×D311yescharacteristic
1093C2×C42C22×D311yescharacteristic
1094#95—31no—
1095#95—31no—
1096#95—31no—
1097#95—31no—
1098#95—31no—
1099#95—31no—
1100#95—31no—
1101#95—31no—
1102#95—31no—
1103#95—31no—
1104#95—31no—
1105#95—31no—
1106#95—31no—
1107#95—31no—
1108#95C22×D311yescharacteristic
1109#95C22×D311yescharacteristic
1110#95C22×D311yescharacteristic
1111#95C22×D311yescharacteristic
1112#95C22×D311yescharacteristic
1113#95C22×D311yescharacteristic
1114C23×C3—21no—
1115C23×C3—21no—
1116C23×C3—21no—
1117C23×C3—21no—
1118C23×C3—21no—
1119C23×C3—21no—
1120C23×C3—21no—
1121C23×C3—21no—
1122C23×C3—21no—
1123C23×C3—21no—
1124C23×C3—21no—
1125C23×C3—21no—
1126C23×C3—21no—
1127C23×C3—21no—
1128C23×C3—21no—
1129C23×C3—21no—
1130C23×C3—21no—
1131C23×C3—21no—
1132C23×C3—21no—
1133C23×C3—21no—
1134C23×C3—21no—
1135C23×C3—21no—
1136C23×C3—21no—
1137C23×C3—21no—
1138C23×C3—21no—
1139C23×C3—21no—
1140C23×C3—21no—
1141C23×C3C22×D412yes—
1142C23×C3C2511yescharacteristic
1143C22×D3—21no—
1144C22×D3—21no—
1145C22×D3—21no—
1146C22×D3—21no—
1147C22×D3—21no—
1148C22×D3—21no—
1149C22×D3—21no—
1150C22×D3—21no—
1151C22×D3—21no—
1152C22×D3—21no—
1153C22×D3—21no—
1154C22×D3—21no—
1155C22×D3—21no—
1156C22×D3—21no—
1157C22×D3—21no—
1158C22×D3—21no—
1159C22×D3—21no—
1160C22×D3—21no—
1161C22×D3—21no—
1162C22×D3—21no—
1163C22×D3—21no—
1164C22×D3—21no—
1165C22×D3—21no—
1166C22×D3—21no—
1167C22×D3—21no—
1168C22×D3—21no—
1169C22×D3—21no—
1170C22×D3—21no—
1171C22×D3—21no—
1172C22×D3—21no—
1173C22×D3—21no—
1174C22×D3—21no—
1175C22×D3—21no—
1176C22×D3C22×D412yes—
1177C22×D3C22×D412yes—
1178C3×D4—44no—
1179C3×D4—44no—
1180C3×D4—44no—
1181C3×D4—82no—
1182C3×D4—82no—
1183C3×D4—82no—
1184C2×C3×C4—21no—
1185C2×C3×C4—21no—
1186C2×C3×C4—21no—
1187C2×C3×C4—21no—
1188C2×C3×C4—21no—
1189C2×C3×C4—21no—
1190C2×C3×C4—21no—
1191C2×C3×C4—21no—
1192C2×C3×C4—21no—
1193C2×C3×C4—21no—
1194C2×C3×C4—21no—
1195C2×C3×C4—21no—
1196C2×C3×C4—21no—
1197C2×C3×C4—21no—
1198C2×C3×C4—21no—
1199C2×C3×C4—21no—
1200C2×C3×C4—21no—
1201C2×C3×C4—21no—
1202C2×C3×C4—21no—
1203C2×C3×C4—21no—
1204C2×C3×C4—21no—
1205C2×C3×C4—21no—
1206C2×C3×C4—21no—
1207C2×C3×C4—21no—
1208C2×C3×C4—21no—
1209C2×C3×C4—21no—
1210C2×C3×C4—21no—
1211C2×C3×C4—44no—
1212C2×C3×C4—44no—
1213C2×C3×C4—44no—
1214C2×C3×C4C22×D412yes—
1215C2×C3×C4C22×D412yes—
1216C2×C3×C4C22×D412yes—
1217C2×C3×C4C22×D412yes—
1218C2×C3×C4C22×D412yes—
1219C2×C3×C4C2×#4112yes—
1220#67—28no—
1221#67—44no—
1222#67—44no—
1223#67—44no—
1224#67—44no—
1225#67—44no—
1226#67—44no—
1227#67—44no—
1228#67—44no—
1229#67—44no—
1230#67—44no—
1231#67—44no—
1232#67—44no—
1233#67—44no—
1234#67—82no—
1235#67—82no—
1236#67—82no—
1237#67—82no—
1238#67—82no—
1239#67—82no—
1240C2×Dic3—21no—
1241C2×Dic3—21no—
1242C2×Dic3—21no—
1243C2×Dic3—21no—
1244C2×Dic3—21no—
1245C2×Dic3—21no—
1246C2×Dic3—21no—
1247C2×Dic3—21no—
1248C2×Dic3—21no—
1249C2×Dic3—21no—
1250C2×Dic3—21no—
1251C2×Dic3—21no—
1252C2×Dic3—21no—
1253C2×Dic3—21no—
1254C2×Dic3—21no—
1255C2×Dic3—21no—
1256C2×Dic3—21no—
1257C2×Dic3—21no—
1258C2×Dic3—21no—
1259C2×Dic3—21no—
1260C2×Dic3—21no—
1261C2×Dic3—21no—
1262C2×Dic3—21no—
1263C2×Dic3—44no—
1264C2×Dic3—44no—
1265C2×Dic3—44no—
1266C2×Dic3C22×D412yes—
1267C2×Dic3C22×D412yes—
1268C2×Dic3C22×D412yes—
1269C2×Dic3C22×D412yes—
1270C2×Dic3C22×D412yes—
1271C2×Dic3C22×D412yes—
1272C2×Dic3C2×#4112yes—
1273C2×Dic3C2×#4112yes—
1274C2×Dic3H(5,𝔽2)12yes—
1275C2×Dic3H(5,𝔽2)12yes—
1276D12—44no—
1277D12—44no—
1278D12—44no—
1279D12—44no—
1280D12—44no—
1281D12—44no—
1282D12—44no—
1283D12—82no—
1284D12—82no—
1285D12—82no—
1286C4×D3—28no—
1287C4×D3—44no—
1288C4×D3—44no—
1289C4×D3—44no—
1290C4×D3—44no—
1291C4×D3—44no—
1292C4×D3—44no—
1293C4×D3—44no—
1294C4×D3—44no—
1295Dic6—28no—
1296Dic6—28no—
1297C24—31no—
1298C24—31no—
1299C24—31no—
1300C24—31no—
1301C24—31no—
1302C24C23×D311yescharacteristic
1303C24C23×D311yescharacteristic
1304C24C23×D311yescharacteristic
1305C24C23×D311yescharacteristic
1306#41—1216no—
1307#41—1216no—
1308#41—1216no—
1309#41—1216no—
1310C2×Q8—34no—
1311C2×Q8—34no—
1312C2×Q8—62no—
1313C2×Q8—62no—
1314C2×Q8—62no—
1315C2×Q8—62no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—22no—
1320C2×D4—22no—
1321C2×D4—22no—
1322C2×D4—22no—
1323C2×D4—34no—
1324C2×D4—34no—
1325C2×D4—34no—
1326C2×D4—41no—
1327C2×D4—41no—
1328C2×D4—41no—
1329C2×D4—41no—
1330C2×D4—41no—
1331C2×D4—41no—
1332C2×D4—41no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—62no—
1338C2×D4—62no—
1339C2×D4—62no—
1340C2×D4—62no—
1341C2×D4—62no—
1342C2×D4—62no—
1343C2×D4—62no—
1344C2×D4—62no—
1345C2×D4—62no—
1346C2×D4—62no—
1347C2×D4—62no—
1348C2×D4—62no—
1349C2×D4—62no—
1350C2×D4—62no—
1351C2×D4—62no—
1352C2×D4—62no—
1353C2×D4—62no—
1354C2×D4—62no—
1355C2×D4—62no—
1356C2×D4—62no—
1357C2×D4—62no—
1358C2×D4—62no—
1359C2×D4—62no—
1360C2×D4—62no—
1361C2×D4—62no—
1362C2×D4—62no—
1363C2×D4—62no—
1364C2×D4—62no—
1365C2×D4—62no—
1366C2×D4—62no—
1367C2×D4—62no—
1368C2×D4—62no—
1369C2×D4—62no—
1370C2×D4—62no—
1371C2×D4—62no—
1372C2×D4—62no—
1373C2×D4—62no—
1374C2×D4—62no—
1375C2×D4—62no—
1376C2×D4—62no—
1377C2×D4—62no—
1378C2×D4—62no—
1379C2×D4—62no—
1380C2×D4—62no—
1381C2×D4—62no—
1382C2×D4—62no—
1383C2×D4—62no—
1384C2×D4—62no—
1385C2×D4—121no—
1386C2×D4—121no—
1387C2×D4—121no—
1388C2×D4—121no—
1389C2×D4—121no—
1390C2×D4—121no—
1391C2×D4—121no—
1392C2×D4—121no—
1393C2×D4—121no—
1394C2×D4—121no—
1395C2×D4—121no—
1396C2×D4—121no—
1397C2×D4—121no—
1398C2×D4—121no—
1399C2×D4—121no—
1400C2×D4—121no—
1401C2×D4—121no—
1402C2×D4—121no—
1403C2×D4—121no—
1404C2×D4—121no—
1405C2×D4—121no—
1406C2×D4—121no—
1407C2×D4—121no—
1408C2×D4—121no—
1409C2×D4—121no—
1410C2×D4—121no—
1411C2×D4—121no—
1412C2×D4—121no—
1413C2×D4—121no—
1414C2×D4—121no—
1415C2×D4—121no—
1416C2×D4—121no—
1417C2×D4—121no—
1418C2×D4—121no—
1419C2×D4—121no—
1420C2×D4—121no—
1421C2×D4—121no—
1422C2×D4—121no—
1423C2×D4—121no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—31no—
1431C22×C4—31no—
1432C22×C4—31no—
1433C22×C4—31no—
1434C22×C4—31no—
1435C22×C4—31no—
1436C22×C4—34no—
1437C22×C4—31no—
1438C22×C4—31no—
1439C22×C4—31no—
1440C22×C4—31no—
1441C22×C4—31no—
1442C22×C4—41no—
1443C22×C4—41no—
1444C22×C4—41no—
1445C22×C4—62no—
1446C22×C4—62no—
1447C22×C4—62no—
1448C22×C4—62no—
1449C22×C4—62no—
1450C22×C4—62no—
1451C22×C4—62no—
1452C22×C4—62no—
1453C22×C4—62no—
1454C22×C4—62no—
1455C22×C4—62no—
1456C22×C4—62no—
1457C22×C4—62no—
1458C22×C4—62no—
1459C22×C4—62no—
1460C22×C4—62no—
1461C22×C4—62no—
1462C22×C4—62no—
1463C22×C4—62no—
1464C22×C4—62no—
1465C22×C4—62no—
1466C22×C4—62no—
1467C22×C4—62no—
1468C22×C4—62no—
1469C22×C4—62no—
1470C22×C4—62no—
1471C22×C4—62no—
1472C22×C4—62no—
1473C22×C4—121no—
1474C22×C4—121no—
1475C22×C4—121no—
1476C22×C4—121no—
1477C22×C4—121no—
1478C22×C4—121no—
1479C22×C4—121no—
1480C22×C4C23×D311yescharacteristic
1481C22×C4C23×D311yescharacteristic
1482C22×C4C23×D311yescharacteristic
1483C22×C4C23×D311yescharacteristic
1484C22×C4C23×D311yescharacteristic
1485C22×C4C23×D311yescharacteristic
1486C22×C4C23×D311yescharacteristic
1487C22×C4C23×D311yescharacteristic
1488C22×C4C23×D311yescharacteristic
1489C22×C4C23×D311yescharacteristic
1490C22×C4C23×D311yescharacteristic
1491C4⋊C4—22no—
1492C4⋊C4—22no—
1493C4⋊C4—22no—
1494C4⋊C4—34no—
1495C4⋊C4—34no—
1496C4⋊C4—34no—
1497C4⋊C4—34no—
1498C4⋊C4—34no—
1499C4⋊C4—41no—
1500C4⋊C4—62no—
1501C4⋊C4—62no—
1502C4⋊C4—62no—
1503C4⋊C4—62no—
1504C4⋊C4—62no—
1505C4⋊C4—62no—
1506C4⋊C4—62no—
1507C4⋊C4—62no—
1508C4⋊C4—62no—
1509C4⋊C4—62no—
1510C4⋊C4—62no—
1511C4⋊C4—121no—
1512C4⋊C4D3×D414yes—
1513C22⋊C4—22no—
1514C22⋊C4—22no—
1515C22⋊C4—22no—
1516C22⋊C4—22no—
1517C22⋊C4—22no—
1518C22⋊C4—22no—
1519C22⋊C4—22no—
1520C22⋊C4—22no—
1521C22⋊C4—22no—
1522C22⋊C4—34no—
1523C22⋊C4—41no—
1524C22⋊C4—41no—
1525C22⋊C4—41no—
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—62no—
1545C22⋊C4—62no—
1546C22⋊C4—62no—
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⋊C4—121no—
1560C22⋊C4D3×D414yes—
1561C42—22no—
1562C42—22no—
1563C42—34no—
1564C42—62no—
1565C42—62no—
1566C42—62no—
1567C42—62no—
1568C42—62no—
1569C42—62no—
1570C42—62no—
1571C42—62no—
1572C42—62no—
1573C22×C3—22no—
1574C22×C3—22no—
1575C22×C3—22no—
1576C22×C3—41no—
1577C22×C3—41no—
1578C22×C3—41no—
1579C22×C3—41no—
1580C22×C3—41no—
1581C22×C3—41no—
1582C22×C3—41no—
1583C22×C3—41no—
1584C22×C3—41no—
1585C22×C3—41no—
1586C22×C3—41no—
1587C22×C3—41no—
1588C22×C3—41no—
1589C22×C3—41no—
1590C22×C3—41no—
1591C22×C3—41no—
1592C22×C3—41no—
1593C22×C3—41no—
1594C22×C3—41no—
1595C22×C3—41no—
1596C22×C3—41no—
1597C22×C3—41no—
1598C22×C3—41no—
1599C22×C3—41no—
1600C22×C3—41no—
1601C22×C3C23×D411yescharacteristic
1602C22×C3C23×D411yescharacteristic
1603C22×C3C22×#4111yescharacteristic
1604C22×C3C2×H(5,𝔽2)11yescharacteristic
1605C22×C3C2×H(5,𝔽2)11yescharacteristic
1606C22×C3#58511yescharacteristic
1607C22×C3#58511yescharacteristic
1608C2×D3—22no—
1609C2×D3—22no—
1610C2×D3—22no—
1611C2×D3—22no—
1612C2×D3—22no—
1613C2×D3—22no—
1614C2×D3—41no—
1615C2×D3—41no—
1616C2×D3—41no—
1617C2×D3—41no—
1618C2×D3—41no—
1619C2×D3—41no—
1620C2×D3—41no—
1621C2×D3—41no—
1622C2×D3—41no—
1623C2×D3—41no—
1624C2×D3—41no—
1625C2×D3—41no—
1626C2×D3—41no—
1627C2×D3—41no—
1628C2×D3—41no—
1629C2×D3—41no—
1630C2×D3—41no—
1631C2×D3—41no—
1632C2×D3—41no—
1633C2×D3—41no—
1634C2×D3—41no—
1635C2×D3—41no—
1636C2×D3—41no—
1637C2×D3—41no—
1638C2×D3—41no—
1639C2×D3—41no—
1640C2×D3—41no—
1641C2×D3—41no—
1642C2×D3—41no—
1643C3×C4—22no—
1644C3×C4—22no—
1645C3×C4—22no—
1646C3×C4—22no—
1647C3×C4—22no—
1648C3×C4—22no—
1649C3×C4—41no—
1650C3×C4—41no—
1651C3×C4—41no—
1652C3×C4—41no—
1653C3×C4—41no—
1654Dic3—22no—
1655Dic3—22no—
1656Dic3—22no—
1657Dic3—22no—
1658Dic3—41no—
1659Dic3—41no—
1660Dic3—41no—
1661Dic3—41no—
1662Dic3—41no—
1663Dic3D4214yes—
1664Dic3#55014yescomplemented
1665C23—21no—
1666C23—21no—
1667C23—21no—
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—21no—
1676C23—21no—
1677C23—21no—
1678C23—21no—
1679C23—21no—
1680C23—21no—
1681C23—21no—
1682C23—21no—
1683C23—21no—
1684C23—21no—
1685C23—21no—
1686C23—21no—
1687C23—21no—
1688C23—21no—
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—32no—
1693C23—32no—
1694C23—61no—
1695C23—61no—
1696C23—61no—
1697C23—61no—
1698C23—61no—
1699C23—61no—
1700C23—61no—
1701C23—61no—
1702C23—61no—
1703C23—61no—
1704C23—61no—
1705C23—61no—
1706C23—61no—
1707C23—61no—
1708C23—61no—
1709C23—61no—
1710C23—61no—
1711C23—61no—
1712C23—61no—
1713C23—61no—
1714C23—61no—
1715C23—61no—
1716C23—61no—
1717C23—61no—
1718C23—61no—
1719C23—61no—
1720C23—61no—
1721C23—61no—
1722C23—61no—
1723C23—61no—
1724C23—61no—
1725C23—61no—
1726C23—61no—
1727C23C2×D3×D412yes—
1728C23C24×D311yescharacteristic
1729Q8—68no—
1730Q8—68no—
1731D4—44no—
1732D4—44no—
1733D4—44no—
1734D4—68no—
1735D4—82no—
1736D4—82no—
1737D4—82no—
1738D4—124no—
1739D4—124no—
1740D4—124no—
1741D4—124no—
1742D4—124no—
1743D4—124no—
1744D4—124no—
1745D4—124no—
1746D4—124no—
1747D4—124no—
1748D4—124no—
1749D4—124no—
1750D4—124no—
1751D4—124no—
1752D4—124no—
1753D4—124no—
1754D4—124no—
1755D4—124no—
1756D4—124no—
1757D4—124no—
1758D4—242no—
1759D4—242no—
1760D4—242no—
1761D4—242no—
1762D4—242no—
1763D4—242no—
1764D4—242no—
1765D4—242no—
1766D4—242no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—32no—
1795C2×C4—32no—
1796C2×C4—32no—
1797C2×C4—32no—
1798C2×C4—32no—
1799C2×C4—32no—
1800C2×C4—32no—
1801C2×C4—32no—
1802C2×C4—32no—
1803C2×C4—32no—
1804C2×C4—44no—
1805C2×C4—44no—
1806C2×C4—44no—
1807C2×C4—68no—
1808C2×C4—61no—
1809C2×C4—61no—
1810C2×C4—61no—
1811C2×C4—61no—
1812C2×C4—61no—
1813C2×C4—61no—
1814C2×C4—61no—
1815C2×C4—61no—
1816C2×C4—61no—
1817C2×C4—61no—
1818C2×C4—61no—
1819C2×C4—61no—
1820C2×C4—61no—
1821C2×C4—61no—
1822C2×C4—61no—
1823C2×C4—61no—
1824C2×C4—61no—
1825C2×C4—61no—
1826C2×C4—61no—
1827C2×C4—61no—
1828C2×C4—61no—
1829C2×C4—61no—
1830C2×C4—61no—
1831C2×C4—124no—
1832C2×C4—124no—
1833C2×C4—124no—
1834C2×C4—124no—
1835C2×C4—124no—
1836C2×C4—124no—
1837C2×C4—124no—
1838C2×C4—124no—
1839C2×C4—124no—
1840C2×C4—124no—
1841C2×C4—124no—
1842C2×C4C2×D3×D412yes—
1843C2×C4C2×D3×D412yes—
1844C2×C4C2×D3×D412yes—
1845C2×C4C2×D3×D412yes—
1846C2×C4C2×D3×D412yes—
1847C2×C4D3×#4112yes—
1848C2×C3—42no—
1849C2×C3—81no—
1850C2×C3—81no—
1851C2×C3—81no—
1852C2×C3C2×D4211yescharacteristic
1853C2×C3C2×#55011yescharacteristic
1854C2×C3D4×#4111yescharacteristic
1855C2×C3#348711yescharacteristic
1856C2×C3#349611yescharacteristic
1857C2×C3#351711yescharacteristic
1858C2×C3#354611yescharacteristic
1859D3—42no—
1860D3—42no—
1861D3—81no—
1862D3—81no—
1863D3—81no—
1864C22—22no—
1865C22—22no—
1866C22—22no—
1867C22—41no—
1868C22—41no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—41no—
1876C22—41no—
1877C22—41no—
1878C22—41no—
1879C22—41no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—41no—
1891C22—41no—
1892C22—62no—
1893C22—62no—
1894C22—62no—
1895C22—62no—
1896C22—62no—
1897C22—62no—
1898C22—121no—
1899C22—121no—
1900C22—121no—
1901C22—121no—
1902C22—121no—
1903C22—121no—
1904C22—121no—
1905C22—121no—
1906C22—121no—
1907C22—121no—
1908C22—121no—
1909C22—121no—
1910C22—121no—
1911C22—121no—
1912C22—121no—
1913C22—121no—
1914C22—121no—
1915C22—121no—
1916C22—121no—
1917C22—121no—
1918C22—121no—
1919C22—121no—
1920C22—121no—
1921C22—121no—
1922C22—121no—
1923C22—121no—
1924C22—121no—
1925C22—121no—
1926C22—121no—
1927C22C22×D3×D411yescharacteristic
1928C22C22×D3×D411yescharacteristic
1929C22C2×D3×#4111yescharacteristic
1930C22#596411yescharacteristic
1931C22#596411yescharacteristic
1932C22D3×H(5,𝔽2)11yescharacteristic
1933C22D3×H(5,𝔽2)11yescharacteristic
1934C4—22no—
1935C4—22no—
1936C4—22no—
1937C4—22no—
1938C4—22no—
1939C4—22no—
1940C4—34no—
1941C4—34no—
1942C4—41no—
1943C4—41no—
1944C4—41no—
1945C4—41no—
1946C4—41no—
1947C4—62no—
1948C4—62no—
1949C4—62no—
1950C4—62no—
1951C4—121no—
1952C4—121no—
1953C4—121no—
1954C4—121no—
1955C4—121no—
1956C3#5905111yescharacteristic, complemented, Sylow
1957C2—42no—
1958C2—81no—
1959C2—81no—
1960C2—81no—
1961C2—122no—
1962C2—122no—
1963C2—241no—
1964C2—241no—
1965C2—241no—
1966C2#8602311yescharacteristic
1967C2#8603711yescharacteristic
1968C2#8640111yescharacteristic
1969C2D3×D4211yescharacteristic
1970C2#8666511yescharacteristic
1971C2D3×#55011yescharacteristic
1972C2#8688611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2456C2
hypercenter#2456D3
hypocenterC3#59051
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2456

Complements

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

NH ≅ G/Ntype
1. C2×#5655C2semidirect
2. C2×#5599C2semidirect
3. C2×#5548C2semidirect
4. C2×#5553C2semidirect
5. C3×#2456C2semidirect
6. #82906C2semidirect
7. #82650C2semidirect
8. #82411C2semidirect
9. #82340C2semidirect
10. #77286C2semidirect
11. #77284C2semidirect
12. #76768C2semidirect
13. #76712C2semidirect
14. #76688C2semidirect
15. #76688C2semidirect
16. #76688C2semidirect
17. #76672C2semidirect
18. #76348C2semidirect
19. #76312C2semidirect
20. #75504C2semidirect
21. #75503C2semidirect
22. #75452C2semidirect
23. #75452C2semidirect
24. #75387C2semidirect
25. #74967C2semidirect
26. #74700C2semidirect
27. #74698C2semidirect
28. #74692C2semidirect
29. #74688C2semidirect
30. #74404C2semidirect
31. #74397C2semidirect
207. #2456D3semidirect
403. #888D4semidirect
419. #884D4semidirect
875. Dic3⋊C4#41semidirect
1664. Dic3#550semidirect
1956. C3#59051semidirect

Maximal subgroups

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

subgroupindex
C2×#56552
C2×#55992
C2×#55482
C2×#55532
C3×#24562
#829062
#826502
#824112
#823402
#772862
#772842
#767682
#767122
#766882
#766722
#763482
#763122
#755042
#755032
#754522
#753872
#749672
#747002
#746982
#746922
#746882
#744042
#743972
#590513