Finite Group Databasebeta

← #11634160

Subgroups — #11634160

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×#5718C211yesmaximal, characteristic, complemented
2C2×#5655C211yesmaximal, characteristic, complemented
3C2×#5599C211yesmaximal, characteristic, complemented
4C2×#5596C211yesmaximal, characteristic, complemented
5C3×#2673C211yesmaximal, characteristic, complemented
6#83177C211yesmaximal, characteristic, complemented
7#82899C211yesmaximal, characteristic, complemented
8#82717C211yesmaximal, characteristic, complemented
9#82642C211yesmaximal, characteristic, complemented
10#76903C211yesmaximal, characteristic, complemented
11#76901C211yesmaximal, characteristic, complemented
12#76898C211yesmaximal, characteristic, complemented
13#76894C211yesmaximal, characteristic, complemented
14#76688C211yesmaximal, characteristic, complemented
15#76688C211yesmaximal, characteristic, complemented
16#76688C211yesmaximal, characteristic, complemented
17#76677C211yesmaximal, characteristic, complemented
18#76675C211yesmaximal, characteristic, complemented
19#76672C211yesmaximal, characteristic, complemented
20#76671C211yesmaximal, characteristic, complemented
21#76668C211yesmaximal, characteristic, complemented
22#75499C211yesmaximal, characteristic, complemented
23#75477C211yesmaximal, characteristic, complemented
24#75323C211yesmaximal, characteristic, complemented
25#74967C211yesmaximal, characteristic, complemented
26#74915C211yesmaximal, characteristic, complemented
27#74792C211yesmaximal, characteristic, complemented
28#74700C211yesmaximal, characteristic, complemented
29#74676C211yesmaximal, characteristic, complemented
30#74660C211yesmaximal, characteristic, complemented
31#74660C211yesmaximal, characteristic, complemented
32#59051—31nomaximal, Sylow
33C22×#237C2211yescharacteristic
34C22×#237C2211yescharacteristic
35C22×#237C2211yescharacteristic
36C22×#235C2211yescharacteristic
37C2×C3×#127C2211yescharacteristic
38C2×C3×#123C2211yescharacteristic
39C2×C3×#121C2211yescharacteristic
40C2×C3×#121C2211yescharacteristic
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×#939C2211yescharacteristic
56C2×#939C2211yescharacteristic
57C2×#939C2211yescharacteristic
58C2×#939C2211yescharacteristic
59C2×#939C2211yescharacteristic
60C2×#939C2211yescharacteristic
61C2×#938C2211yescharacteristic
62C2×#938C2211yescharacteristic
63C2×D4×Dic3C2211yescharacteristic
64C2×D4×Dic3C2211yescharacteristic
65C2×D4×Dic3C2211yescharacteristic
66C2×D4×Dic3C2211yescharacteristic
67C2×#930C2211yescharacteristic
68C2×C4×#67C2211yescharacteristic
69C22×Dic3⋊C4C2211yescharacteristic
70C22×C4×Dic3C2211yescharacteristic
71#5718—28no—
72#5655—28no—
73#5599—28no—
74#5596—28no—
75C2×#896C2211yescharacteristic
76C2×#895C2211yescharacteristic
77C2×#894C2211yescharacteristic
78C2×#893C2211yescharacteristic
79C2×D3×C4⋊C4C2211yescharacteristic
80C2×#888C2211yescharacteristic
81C2×#887C2211yescharacteristic
82C2×#886C2211yescharacteristic
83C2×#885C2211yescharacteristic
84C2×#885C2211yescharacteristic
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×#67⋊C4C2211yescharacteristic
98C2×#67⋊C4C2211yescharacteristic
99C2×#878C2211yescharacteristic
100C2×C4×D12C2211yescharacteristic
101C2×C4×Dic6C2211yescharacteristic
102C3×#394C2211yescharacteristic
103C3×#394C2211yescharacteristic
104C3×#392C2211yescharacteristic
105C3×#392C2211yescharacteristic
106C3×#392C2211yescharacteristic
107C3×#392C2211yescharacteristic
108C3×#388C2211yescharacteristic
109C3×#387C2211yescharacteristic
110C3×#386C2211yescharacteristic
111C3×#386C2211yescharacteristic
112C3×#386C2211yescharacteristic
113#5223C2211yescharacteristic
114#5223C2211yescharacteristic
115#5223C2211yescharacteristic
116#5223C2211yescharacteristic
117#5223C2211yescharacteristic
118#5223C2211yescharacteristic
119#5223C2211yescharacteristic
120#5222C2211yescharacteristic
121#5221C2211yescharacteristic
122#5220C2211yescharacteristic
123#5220C2211yescharacteristic
124#5213C2211yescharacteristic
125#5213C2211yescharacteristic
126#5213C2211yescharacteristic
127#4994C2211yescharacteristic
128#4994C2211yescharacteristic
129#4989C2211yescharacteristic
130#4980C2211yescharacteristic
131#4976C2211yescharacteristic
132#4961C2211yescharacteristic
133#4961C2211yescharacteristic
134#4960C2211yescharacteristic
135#4960C2211yescharacteristic
136#4960C2211yescharacteristic
137#4960C2211yescharacteristic
138#4960C2211yescharacteristic
139#4960C2211yescharacteristic
140#4959C2211yescharacteristic
141#4959C2211yescharacteristic
142#4958C2211yescharacteristic
143#4958C2211yescharacteristic
144#4957C2211yescharacteristic
145#4957C2211yescharacteristic
146#4957C2211yescharacteristic
147#4957C2211yescharacteristic
148#4957C2211yescharacteristic
149#4957C2211yescharacteristic
150#4957C2211yescharacteristic
151#4957C2211yescharacteristic
152#4956C2211yescharacteristic
153#4956C2211yescharacteristic
154#4956C2211yescharacteristic
155#4950C2211yescharacteristic
156#4948C2211yescharacteristic
157#4948C2211yescharacteristic
158#4946C2211yescharacteristic
159#4945C2211yescharacteristic
160#4944C2211yescharacteristic
161#4944C2211yescharacteristic
162#4942C2211yescharacteristic
163#4942C2211yescharacteristic
164Dic3×C22⋊C4C2211yescharacteristic
165Dic3×C22⋊C4C2211yescharacteristic
166#4939C2211yescharacteristic
167C4×Dic3⋊C4C2211yescharacteristic
168#4672C2211yescharacteristic
169#4671C2211yescharacteristic
170#4671C2211yescharacteristic
171#4671C2211yescharacteristic
172#4670C2211yescharacteristic
173#4670C2211yescharacteristic
174#4670C2211yescharacteristic
175#4669C2211yescharacteristic
176#4668C2211yescharacteristic
177#4666C2211yescharacteristic
178#4666C2211yescharacteristic
179#4665C2211yescharacteristic
180#4665C2211yescharacteristic
181#4665C2211yescharacteristic
182#4654C2211yescharacteristic
183#4653C2211yescharacteristic
184#4649C2211yescharacteristic
185#4649C2211yescharacteristic
186#4649C2211yescharacteristic
187#4647C2211yescharacteristic
188#4647C2211yescharacteristic
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#2673D311yescharacteristic, complemented
200#2541—31no—
201#2541—31no—
202#2541—31no—
203#2541—31no—
204#2456—31no—
205#2456—31no—
206#2456—31no—
207#2456—31no—
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
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C22×C3×D4C2311yescharacteristic
232C22×C3×D4C2311yescharacteristic
233C23×C3×C4C2311yescharacteristic
234C23×C3×C4C2311yescharacteristic
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
252C22×#67C2311yescharacteristic
253C22×#67C2311yescharacteristic
254C22×#67C2311yescharacteristic
255C23×Dic3C2311yescharacteristic
256C23×Dic3C2311yescharacteristic
257C23×Dic3C2311yescharacteristic
258C23×Dic3C2311yescharacteristic
259C23×Dic3C2311yescharacteristic
260C23×Dic3C2311yescharacteristic
261C23×Dic3C2311yescharacteristic
262C2×#237—24no—
263C2×#237—24no—
264C2×#237—24no—
265C2×#237—24no—
266C2×#237—24no—
267C2×#237—24no—
268C2×#237—42no—
269C2×#237—42no—
270C2×#237—42no—
271C2×#235—24no—
272C2×#235—24no—
273C2×#235—42no—
274C22×D12C2311yescharacteristic
275C22×D12C2311yescharacteristic
276C22×D12C2311yescharacteristic
277C22×D12C2311yescharacteristic
278C22×D12C2311yescharacteristic
279C22×D12C2311yescharacteristic
280C22×C4×D3C2311yescharacteristic
281C22×C4×D3C2311yescharacteristic
282C22×C4×D3C2311yescharacteristic
283C22×C4×D3C2311yescharacteristic
284C22×C4×D3C2311yescharacteristic
285C22×C4×D3C2311yescharacteristic
286C22×Dic6C2311yescharacteristic
287C22×Dic6C2311yescharacteristic
288C3×#127—24no—
289C3×#123—24no—
290C3×#121—24no—
291C3×#121—24no—
292C2×C3×C4⋊C4C2311yescharacteristic
293C2×C3×C4⋊C4C2311yescharacteristic
294C2×C3×C4⋊C4C2311yescharacteristic
295C2×C3×C22⋊C4C2311yescharacteristic
296C2×C3×C22⋊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×C42C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313C2×#217C2311yescharacteristic
314C2×#217C2311yescharacteristic
315C2×#217C2311yescharacteristic
316C2×#217C2311yescharacteristic
317C2×#217C2311yescharacteristic
318C2×#217C2311yescharacteristic
319C2×#217C2311yescharacteristic
320C2×#217C2311yescharacteristic
321C2×#217C2311yescharacteristic
322#940—24no—
323#940—24no—
324#940—24no—
325#940—24no—
326#940—24no—
327#940—24no—
328#940—42no—
329#940—42no—
330#939—24no—
331#939—24no—
332#939—24no—
333#939—24no—
334#939—24no—
335#939—24no—
336#939—24no—
337#939—24no—
338#939—24no—
339#939—42no—
340#939—42no—
341#939D418yescomplemented
342#938—24no—
343#938—24no—
344D4×Dic3—24no—
345D4×Dic3—24no—
346D4×Dic3—24no—
347D4×Dic3—42no—
348#930—24no—
349C4×#67—24no—
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×(C2×D3)⋊C4C2311yescharacteristic
368C2×(C2×D3)⋊C4C2311yescharacteristic
369C2×(C2×D3)⋊C4C2311yescharacteristic
370C2×(C2×D3)⋊C4C2311yescharacteristic
371C2×(C2×D3)⋊C4C2311yescharacteristic
372C2×C4⋊Dic3C2311yescharacteristic
373C2×C4⋊Dic3C2311yescharacteristic
374C2×C4⋊Dic3C2311yescharacteristic
375C2×C4⋊Dic3C2311yescharacteristic
376C2×C4⋊Dic3C2311yescharacteristic
377C2×Dic3⋊C4—24no—
378C2×Dic3⋊C4C2311yescharacteristic
379C2×Dic3⋊C4C2311yescharacteristic
380C2×Dic3⋊C4C2311yescharacteristic
381C2×Dic3⋊C4C2311yescharacteristic
382C2×Dic3⋊C4C2311yescharacteristic
383C2×Dic3⋊C4C2311yescharacteristic
384C2×Dic3⋊C4C2311yescharacteristic
385C2×Dic3⋊C4C2311yescharacteristic
386C2×Dic3⋊C4C2311yescharacteristic
387C2×Dic3⋊C4C2311yescharacteristic
388C2×Dic3⋊C4C2311yescharacteristic
389C2×Dic3⋊C4C2311yescharacteristic
390C2×Dic3⋊C4C2311yescharacteristic
391C2×Dic3⋊C4C2311yescharacteristic
392C2×C4×Dic3—24no—
393C2×C4×Dic3C2311yescharacteristic
394C2×C4×Dic3C2311yescharacteristic
395C2×C4×Dic3C2311yescharacteristic
396C2×C4×Dic3C2311yescharacteristic
397C2×C4×Dic3C2311yescharacteristic
398C2×C4×Dic3C2311yescharacteristic
399C2×C4×Dic3C2311yescharacteristic
400C2×C4×Dic3C2311yescharacteristic
401C2×C4×Dic3C2311yescharacteristic
402C2×C4×Dic3C2311yescharacteristic
403C2×C4×Dic3C2311yescharacteristic
404#896—24no—
405#895—24no—
406#894—24no—
407#893—24no—
408D3×C4⋊C4—24no—
409#888D418yescomplemented
410#887—24no—
411#886—24no—
412#885—24no—
413#885—24no—
414#884—24no—
415#884—24no—
416#884—24no—
417#884—24no—
418#884—42no—
419#884—42no—
420#883—24no—
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—42no—
428#878—24no—
429C4×D12—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×#127C2×D311yescharacteristic
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×#121C2×D311yescharacteristic
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×D4—31no—
516C2×C4×D4—31no—
517C22×C4⋊C4—31no—
518C22×C4⋊C4—31no—
519C22×C42—31no—
520#396—31no—
521#396—31no—
522#396—31no—
523#396—31no—
524#394—31no—
525#394—31no—
526#394—31no—
527#394—31no—
528#394—31no—
529#394—31no—
530#394C2×D311yescharacteristic
531#394C2×D311yescharacteristic
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#392C2×D311yescharacteristic
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#390—31no—
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#388—31no—
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#386C2×D311yescharacteristic
594#386C2×D311yescharacteristic
595#386C2×D311yescharacteristic
596#385—31no—
597#385—31no—
598#385—31no—
599#385—31no—
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
614C24×C3C2411yescharacteristic
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—22no—
627C2×C3×D4—22no—
628C2×C3×D4—22no—
629C2×C3×D4—22no—
630C2×C3×D4—22no—
631C2×C3×D4—22no—
632C2×C3×D4—41no—
633C2×C3×D4—41no—
634C2×C3×D4—41no—
635C2×C3×D4—41no—
636C2×C3×D4—41no—
637C2×C3×D4—41no—
638C2×C3×D4—41no—
639C2×C3×D4—41no—
640C2×C3×D4—41no—
641C2×C3×D4—41no—
642C2×C3×D4—41no—
643C2×C3×D4—41no—
644C2×C3×D4—41no—
645C2×C3×D4—41no—
646C2×C3×D4—41no—
647C2×C3×D4—41no—
648C2×C3×D4C2×D414yes—
649C22×C3×C4—22no—
650C22×C3×C4—22no—
651C22×C3×C4—22no—
652C22×C3×C4—41no—
653C22×C3×C4—41no—
654C22×C3×C4—41no—
655C22×C3×C4C2411yescharacteristic
656C22×C3×C4C2411yescharacteristic
657C22×C3×C4C2411yescharacteristic
658C22×C3×C4C2411yescharacteristic
659C22×C3×C4C2411yescharacteristic
660C22×C3×C4C2411yescharacteristic
661C22×C3×C4C2411yescharacteristic
662C22×C3×C4C2411yescharacteristic
663C22×C3×C4C2411yescharacteristic
664C22×C3×C4C2411yescharacteristic
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—22no—
693C2×#67—22no—
694C2×#67—22no—
695C2×#67—22no—
696C2×#67—22no—
697C2×#67—22no—
698C2×#67—22no—
699C2×#67—22no—
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×#67—41no—
716C2×#67—41no—
717C2×#67—41no—
718C2×#67—41no—
719C2×#67—41no—
720C2×#67—41no—
721C2×#67—41no—
722C2×#67—41no—
723C2×#67C2×D414yes—
724C2×#67C2×D414yes—
725C22×Dic3—22no—
726C22×Dic3—22no—
727C22×Dic3—22no—
728C22×Dic3—22no—
729C22×Dic3—22no—
730C22×Dic3—22no—
731C22×Dic3—22no—
732C22×Dic3—22no—
733C22×Dic3—22no—
734C22×Dic3—22no—
735C22×Dic3—22no—
736C22×Dic3—22no—
737C22×Dic3—22no—
738C22×Dic3—22no—
739C22×Dic3—22no—
740C22×Dic3—22no—
741C22×Dic3—22no—
742C22×Dic3—41no—
743C22×Dic3—41no—
744C22×Dic3—41no—
745C22×Dic3C2×D414yes—
746C22×Dic3C2411yescharacteristic
747C22×Dic3C2411yescharacteristic
748C22×Dic3C2411yescharacteristic
749C22×Dic3C2411yescharacteristic
750C22×Dic3C2411yescharacteristic
751C22×Dic3C2411yescharacteristic
752C22×Dic3C2411yescharacteristic
753C22×Dic3C2411yescharacteristic
754C22×Dic3C2411yescharacteristic
755C22×Dic3C2411yescharacteristic
756C22×Dic3C2411yescharacteristic
757C22×Dic3C2411yescharacteristic
758#237—416no—
759#237—416no—
760#237—416no—
761#235—416no—
762C2×D12—22no—
763C2×D12—22no—
764C2×D12—22no—
765C2×D12—22no—
766C2×D12—22no—
767C2×D12—22no—
768C2×D12—22no—
769C2×D12—41no—
770C2×D12—41no—
771C2×D12—41no—
772C2×D12—41no—
773C2×D12—41no—
774C2×D12—41no—
775C2×D12—41no—
776C2×D12—41no—
777C2×D12—41no—
778C2×D12—41no—
779C2×D12—41no—
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—22no—
792C2×C4×D3—22no—
793C2×C4×D3—22no—
794C2×C4×D3—41no—
795C2×C4×D3—41no—
796C2×C4×D3—41no—
797C2×C4×D3—41no—
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⋊C4C2×D414yes—
807C3×C22⋊C4—22no—
808C3×C22⋊C4—22no—
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—41no—
816C3×C22⋊C4—41no—
817C3×C22⋊C4—41no—
818C3×C22⋊C4—41no—
819C3×C22⋊C4—41no—
820C3×C42—22no—
821#217—22no—
822#217—22no—
823#217—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#217C2×D414yes—
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—41no—
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)⋊C4C2×D414yes—
856C4⋊Dic3—22no—
857C4⋊Dic3—22no—
858C4⋊Dic3—22no—
859C4⋊Dic3—41no—
860C4⋊Dic3C2×D414yes—
861Dic3⋊C4—22no—
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—41no—
871Dic3⋊C4C2×D414yes—
872Dic3⋊C4C2×D414yes—
873Dic3⋊C4C2×D414yes—
874Dic3⋊C4#4114yescomplemented
875C4×Dic3—22no—
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×D4C22×D311yescharacteristic
927C22×D4C22×D311yescharacteristic
928C22×D4C22×D311yescharacteristic
929C22×D4C22×D311yescharacteristic
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×C4—31no—
949C23×C4C22×D311yescharacteristic
950C23×C4C22×D311yescharacteristic
951C4⋊Q8—38no—
952#127—24no—
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—24no—
971#121—38no—
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—64no—
996C4×D4—64no—
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—31no—
1027C2×C4⋊C4—31no—
1028C2×C4⋊C4—64no—
1029C2×C4⋊C4—64no—
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—31no—
1092C2×C42—64no—
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×C3—21no—
1142C23×C3—21no—
1143C23×C3—21no—
1144C23×C3—21no—
1145C23×C3—21no—
1146C23×C3—21no—
1147C23×C3C22×D412yes—
1148C23×C3C22×D412yes—
1149C23×C3C2511yescharacteristic
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×D3—21no—
1177C22×D3C22×D412yes—
1178C3×D4—44no—
1179C3×D4—44no—
1180C3×D4—44no—
1181C3×D4—44no—
1182C3×D4—44no—
1183C3×D4—44no—
1184C3×D4—44no—
1185C3×D4—82no—
1186C3×D4—82no—
1187C3×D4—82no—
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—21no—
1212C2×C3×C4—21no—
1213C2×C3×C4—44no—
1214C2×C3×C4—44no—
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—28no—
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—21no—
1264C2×Dic3—21no—
1265C2×Dic3—21no—
1266C2×Dic3—44no—
1267C2×Dic3—44no—
1268C2×Dic3—44no—
1269C2×Dic3—44no—
1270C2×Dic3—44no—
1271C2×Dic3—44no—
1272C2×Dic3C22×D412yes—
1273C2×Dic3C22×D412yes—
1274C2×Dic3C22×D412yes—
1275C2×Dic3C22×D412yes—
1276C2×Dic3C22×D412yes—
1277C2×Dic3C22×D412yes—
1278C2×Dic3C22×D412yes—
1279C2×Dic3C2×#4112yes—
1280C2×Dic3C2×#4112yes—
1281C2×Dic3H(5,𝔽2)12yes—
1282C2×Dic3H(5,𝔽2)12yes—
1283D12—44no—
1284D12—44no—
1285D12—44no—
1286D12—82no—
1287D12—82no—
1288D12—82no—
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—
1301C24C23×D311yescharacteristic
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—22no—
1324C2×D4—22no—
1325C2×D4—22no—
1326C2×D4—22no—
1327C2×D4—22no—
1328C2×D4—22no—
1329C2×D4—34no—
1330C2×D4—34no—
1331C2×D4—41no—
1332C2×D4—41no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—41no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4—41no—
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—62no—
1386C2×D4—62no—
1387C2×D4—62no—
1388C2×D4—62no—
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×D4D3×D414yes—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—31no—
1428C22×C4—31no—
1429C22×C4—34no—
1430C22×C4—31no—
1431C22×C4—31no—
1432C22×C4—31no—
1433C22×C4—31no—
1434C22×C4—31no—
1435C22×C4—31no—
1436C22×C4—31no—
1437C22×C4—31no—
1438C22×C4—31no—
1439C22×C4—31no—
1440C22×C4—41no—
1441C22×C4—41no—
1442C22×C4—41no—
1443C22×C4—62no—
1444C22×C4—62no—
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—62no—
1474C22×C4—121no—
1475C22×C4—121no—
1476C22×C4—121no—
1477C22×C4—121no—
1478C22×C4—121no—
1479C22×C4—121no—
1480C22×C4—121no—
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—34no—
1494C4⋊C4—34no—
1495C4⋊C4—34no—
1496C4⋊C4—34no—
1497C4⋊C4—34no—
1498C4⋊C4—62no—
1499C4⋊C4—62no—
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—121no—
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—34no—
1522C22⋊C4—34no—
1523C22⋊C4—41no—
1524C22⋊C4—41no—
1525C22⋊C4—41no—
1526C22⋊C4—41no—
1527C22⋊C4—41no—
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—62no—
1548C22⋊C4—62no—
1549C22⋊C4—62no—
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⋊C4—121no—
1561C42—22no—
1562C42—34no—
1563C42—62no—
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—22no—
1577C22×C3—22no—
1578C22×C3—22no—
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×C3—41no—
1602C22×C3—41no—
1603C22×C3—41no—
1604C22×C3—41no—
1605C22×C3—41no—
1606C22×C3—41no—
1607C22×C3—41no—
1608C22×C3C23×D411yescharacteristic
1609C22×C3C23×D411yescharacteristic
1610C22×C3C22×#4111yescharacteristic
1611C22×C3C2×H(5,𝔽2)11yescharacteristic
1612C22×C3C2×H(5,𝔽2)11yescharacteristic
1613C22×C3#58511yescharacteristic
1614C22×C3#58511yescharacteristic
1615C2×D3—22no—
1616C2×D3—22no—
1617C2×D3—22no—
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—41no—
1649C3×C4—41no—
1650C3×C4—41no—
1651C3×C4—41no—
1652C3×C4—41no—
1653Dic3—22no—
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—21no—
1693C23—21no—
1694C23—21no—
1695C23—21no—
1696C23—21no—
1697C23—21no—
1698C23—32no—
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—
1726C23C2×D3×D412yes—
1727C23C2×D3×D412yes—
1728C23C24×D311yescharacteristic
1729Q8—68no—
1730Q8—68no—
1731D4—44no—
1732D4—44no—
1733D4—44no—
1734D4—44no—
1735D4—44no—
1736D4—44no—
1737D4—44no—
1738D4—68no—
1739D4—82no—
1740D4—82no—
1741D4—82no—
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—32no—
1793C2×C4—32no—
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—44no—
1804C2×C4—44no—
1805C2×C4—68no—
1806C2×C4—61no—
1807C2×C4—61no—
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×C4—124no—
1843C2×C4C2×D3×D412yes—
1844C2×C4C2×D3×D412yes—
1845C2×C4C2×D3×D412yes—
1846C2×C4C2×D3×D412yes—
1847C2×C4D3×#4112yes—
1848C2×C3—42no—
1849C2×C3—42no—
1850C2×C3—81no—
1851C2×C3—81no—
1852C2×C3—81no—
1853C2×C3C2×D4211yescharacteristic
1854C2×C3C2×#55011yescharacteristic
1855C2×C3D4×#4111yescharacteristic
1856C2×C3#348711yescharacteristic
1857C2×C3#349611yescharacteristic
1858C2×C3#351711yescharacteristic
1859C2×C3#354611yescharacteristic
1860D3—42no—
1861D3—81no—
1862D3—81no—
1863D3—81no—
1864C22—22no—
1865C22—22no—
1866C22—22no—
1867C22—22no—
1868C22—22no—
1869C22—22no—
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—41no—
1893C22—41no—
1894C22—41no—
1895C22—41no—
1896C22—41no—
1897C22—41no—
1898C22—41no—
1899C22—62no—
1900C22—62no—
1901C22—62no—
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
1930C22D3×H(5,𝔽2)11yescharacteristic
1931C22D3×H(5,𝔽2)11yescharacteristic
1932C22#596611yescharacteristic
1933C22#596611yescharacteristic
1934C4—22no—
1935C4—22no—
1936C4—22no—
1937C4—22no—
1938C4—22no—
1939C4—34no—
1940C4—34no—
1941C4—41no—
1942C4—41no—
1943C4—41no—
1944C4—41no—
1945C4—41no—
1946C4—62no—
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—42no—
1959C2—81no—
1960C2—81no—
1961C2—81no—
1962C2—122no—
1963C2—241no—
1964C2—241no—
1965C2—241no—
1966C2#8629811yescharacteristic
1967C2#8631511yescharacteristic
1968C2#8647011yescharacteristic
1969C2D3×D4211yescharacteristic
1970C2#8662611yescharacteristic
1971C2D3×#55011yescharacteristic
1972C2#8707511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2673C2
hypercenter#2673D3
hypocenterC3#59051
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2673

Complements

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

NH ≅ G/Ntype
1. C2×#5718C2semidirect
2. C2×#5655C2semidirect
3. C2×#5599C2semidirect
4. C2×#5596C2semidirect
5. C3×#2673C2semidirect
6. #83177C2semidirect
7. #82899C2semidirect
8. #82717C2semidirect
9. #82642C2semidirect
10. #76903C2semidirect
11. #76901C2semidirect
12. #76898C2semidirect
13. #76894C2semidirect
14. #76688C2semidirect
15. #76688C2semidirect
16. #76688C2semidirect
17. #76677C2semidirect
18. #76675C2semidirect
19. #76672C2semidirect
20. #76671C2semidirect
21. #76668C2semidirect
22. #75499C2semidirect
23. #75477C2semidirect
24. #75323C2semidirect
25. #74967C2semidirect
26. #74915C2semidirect
27. #74792C2semidirect
28. #74700C2semidirect
29. #74676C2semidirect
30. #74660C2semidirect
31. #74660C2semidirect
199. #2673D3semidirect
341. #939D4semidirect
409. #888D4semidirect
874. 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×#57182
C2×#56552
C2×#55992
C2×#55962
C3×#26732
#831772
#828992
#827172
#826422
#769032
#769012
#768982
#768942
#766882
#766772
#766752
#766722
#766712
#766682
#754992
#754772
#753232
#749672
#749152
#747922
#747002
#746762
#746602
#590513