Finite Group Databasebeta

← #11634194

Subgroups — #11634194

Order 768.

2504 conjugacy classes of subgroups.

The subgroup lattice has 1738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5649C211yesmaximal, characteristic, complemented
2C2×#5601C211yesmaximal, characteristic, complemented
3C3×#2673C211yesmaximal, characteristic, complemented
4#83177C211yesmaximal, characteristic, complemented
5#83173C211yesmaximal, characteristic, complemented
6#82880C211yesmaximal, characteristic, complemented
7#82703C211yesmaximal, characteristic, complemented
8#82683C211yesmaximal, characteristic, complemented
9Dic3×#121C211yesmaximal, characteristic, complemented
10#76945C211yesmaximal, characteristic, complemented
11#76932C211yesmaximal, characteristic, complemented
12#76920C211yesmaximal, characteristic, complemented
13#76901C211yesmaximal, characteristic, complemented
14#76689C211yesmaximal, characteristic, complemented
15#76687C211yesmaximal, characteristic, complemented
16#76687C211yesmaximal, characteristic, complemented
17#76677C211yesmaximal, characteristic, complemented
18#76676C211yesmaximal, characteristic, complemented
19#76671C211yesmaximal, characteristic, complemented
20#76670C211yesmaximal, characteristic, complemented
21#76670C211yesmaximal, characteristic, complemented
22#75595C211yesmaximal, characteristic, complemented
23#75478C211yesmaximal, characteristic, complemented
24#75018C211yesmaximal, characteristic, complemented
25#74969C211yesmaximal, characteristic, complemented
26#74816C211yesmaximal, characteristic, complemented
27#74722C211yesmaximal, characteristic, complemented
28#74693C211yesmaximal, characteristic, complemented
29#74679C211yesmaximal, characteristic, complemented
30#74676C211yesmaximal, characteristic, complemented
31#74660C211yesmaximal, characteristic, complemented
32#59053—31nomaximal, Sylow
33C2×C3×#127C2211yescharacteristic
34C2×C3×#123C2211yescharacteristic
35C2×C3×#121C2211yescharacteristic
36C2×C3×#121C2211yescharacteristic
37C2×#940C2211yescharacteristic
38C2×#940C2211yescharacteristic
39C2×#939C2211yescharacteristic
40C2×#939C2211yescharacteristic
41C2×#939C2211yescharacteristic
42C2×#939C2211yescharacteristic
43C2×#939C2211yescharacteristic
44C2×#939C2211yescharacteristic
45C2×#939C2211yescharacteristic
46C2×#939C2211yescharacteristic
47C2×#938C2211yescharacteristic
48C2×#935C2211yescharacteristic
49C2×D4×Dic3C2211yescharacteristic
50C2×D4×Dic3C2211yescharacteristic
51C2×D4×Dic3C2211yescharacteristic
52C2×D4×Dic3C2211yescharacteristic
53C2×D4×Dic3C2211yescharacteristic
54C2×D4×Dic3C2211yescharacteristic
55C2×D4×Dic3C2211yescharacteristic
56C2×#929C2211yescharacteristic
57C2×C4×#67C2211yescharacteristic
58C2×C4×#67C2211yescharacteristic
59C22×Dic3⋊C4C2211yescharacteristic
60C22×C4×Dic3C2211yescharacteristic
61#5649—28no—
62#5601—28no—
63C2×#898C2211yescharacteristic
64C2×#898C2211yescharacteristic
65C2×#892C2211yescharacteristic
66C2×#889C2211yescharacteristic
67C2×#887C2211yescharacteristic
68C2×#885C2211yescharacteristic
69C2×#885C2211yescharacteristic
70C2×#883C2211yescharacteristic
71C2×#67⋊C4C2211yescharacteristic
72C2×#67⋊C4C2211yescharacteristic
73C2×#67⋊C4C2211yescharacteristic
74C2×#67⋊C4C2211yescharacteristic
75C2×#879C2211yescharacteristic
76C2×#879C2211yescharacteristic
77C2×#878C2211yescharacteristic
78C2×#878C2211yescharacteristic
79C2×#878C2211yescharacteristic
80C2×#877C2211yescharacteristic
81C2×#877C2211yescharacteristic
82C3×#394C2211yescharacteristic
83C3×#394C2211yescharacteristic
84C3×#392C2211yescharacteristic
85C3×#392C2211yescharacteristic
86C3×#392C2211yescharacteristic
87C3×#392C2211yescharacteristic
88C3×#388C2211yescharacteristic
89C3×#387C2211yescharacteristic
90C3×#386C2211yescharacteristic
91C3×#386C2211yescharacteristic
92C3×#386C2211yescharacteristic
93#5223C2211yescharacteristic
94#5223C2211yescharacteristic
95#5223C2211yescharacteristic
96#5223C2211yescharacteristic
97#5223C2211yescharacteristic
98#5223C2211yescharacteristic
99#5223C2211yescharacteristic
100#5222C2211yescharacteristic
101#5221C2211yescharacteristic
102#5221C2211yescharacteristic
103#5221C2211yescharacteristic
104#5221C2211yescharacteristic
105#5221C2211yescharacteristic
106#5221C2211yescharacteristic
107#5221C2211yescharacteristic
108#5221C2211yescharacteristic
109#5220C2211yescharacteristic
110#5220C2211yescharacteristic
111#5220C2211yescharacteristic
112#5220C2211yescharacteristic
113#5220C2211yescharacteristic
114#5213C2211yescharacteristic
115#5212C2211yescharacteristic
116#5212C2211yescharacteristic
117#4994C2211yescharacteristic
118#4991C2211yescharacteristic
119#4984C2211yescharacteristic
120#4984C2211yescharacteristic
121#4978C2211yescharacteristic
122#4978C2211yescharacteristic
123Dic3×C4⋊C4C2211yescharacteristic
124#4961C2211yescharacteristic
125#4961C2211yescharacteristic
126#4961C2211yescharacteristic
127#4961C2211yescharacteristic
128#4960C2211yescharacteristic
129#4959C2211yescharacteristic
130#4959C2211yescharacteristic
131#4958C2211yescharacteristic
132#4958C2211yescharacteristic
133#4957C2211yescharacteristic
134#4957C2211yescharacteristic
135#4957C2211yescharacteristic
136#4957C2211yescharacteristic
137#4957C2211yescharacteristic
138#4957C2211yescharacteristic
139#4957C2211yescharacteristic
140#4957C2211yescharacteristic
141#4956C2211yescharacteristic
142#4951C2211yescharacteristic
143#4951C2211yescharacteristic
144#4951C2211yescharacteristic
145#4951C2211yescharacteristic
146#4949C2211yescharacteristic
147#4949C2211yescharacteristic
148#4948C2211yescharacteristic
149#4948C2211yescharacteristic
150#4948C2211yescharacteristic
151#4946C2211yescharacteristic
152#4945C2211yescharacteristic
153#4945C2211yescharacteristic
154#4944C2211yescharacteristic
155#4944C2211yescharacteristic
156#4944C2211yescharacteristic
157#4942C2211yescharacteristic
158#4942C2211yescharacteristic
159Dic3×C22⋊C4C2211yescharacteristic
160Dic3×C22⋊C4C2211yescharacteristic
161Dic3×C22⋊C4C2211yescharacteristic
162#4939C2211yescharacteristic
163C4×C4⋊Dic3C2211yescharacteristic
164C4×C4⋊Dic3C2211yescharacteristic
165C4×Dic3⋊C4C2211yescharacteristic
166#4677C2211yescharacteristic
167#4677C2211yescharacteristic
168#4670C2211yescharacteristic
169#4670C2211yescharacteristic
170#4670C2211yescharacteristic
171#4669C2211yescharacteristic
172#4668C2211yescharacteristic
173#4666C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic
176#4661C2211yescharacteristic
177#4657C2211yescharacteristic
178#4655C2211yescharacteristic
179#4654C2211yescharacteristic
180#4653C2211yescharacteristic
181#4649C2211yescharacteristic
182#4649C2211yescharacteristic
183#4649C2211yescharacteristic
184#4649C2211yescharacteristic
185#4647C2211yescharacteristic
186#4647C2211yescharacteristic
187#4647C2211yescharacteristic
188#4647C2211yescharacteristic
189#4646C2211yescharacteristic
190C2×#553—31no—
191C2×#529—31no—
192#2705—31no—
193#2705—31no—
194#2673—31no—
195#2673D311yescharacteristic, complemented
196#2554—31no—
197#2554—31no—
198#2544—31no—
199#2541—31no—
200#2540—31no—
201#2540—31no—
202#2479—31no—
203#2479—31no—
204#2467—31no—
205#2467—31no—
206#2456—31no—
207#2456—31no—
208#2428—31no—
209#2426—31no—
210#2417—31no—
211#2414—31no—
212#2414—31no—
213#2414—31no—
214#2370—31no—
215#2366—31no—
216#2366—31no—
217#2362—31no—
218#2361—31no—
219C4×#121—31no—
220C4×#121—31no—
221C22×C3×D4C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C23×C3×C4C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C23×Dic3C2311yescharacteristic
244C23×Dic3C2311yescharacteristic
245C23×Dic3C2311yescharacteristic
246C23×Dic3C2311yescharacteristic
247C23×Dic3C2311yescharacteristic
248C23×Dic3C2311yescharacteristic
249C23×Dic3C2311yescharacteristic
250C22×D12C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×Dic6C2311yescharacteristic
254C3×#127—24no—
255C3×#123—24no—
256C3×#121—24no—
257C3×#121—24no—
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C22⋊C4C2311yescharacteristic
262C2×C3×C22⋊C4C2311yescharacteristic
263C2×C3×C22⋊C4C2311yescharacteristic
264C2×C3×C22⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C42C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298#940—24no—
299#940—42no—
300#939—24no—
301#939—24no—
302#939—24no—
303#939—24no—
304#939—24no—
305#939—24no—
306#939—42no—
307#939—42no—
308#938—42no—
309#935—24no—
310D4×Dic3—24no—
311D4×Dic3—24no—
312D4×Dic3—24no—
313D4×Dic3—42no—
314D4×Dic3—42no—
315D4×Dic3—42no—
316D4×Dic3—42no—
317#929—24no—
318C4×#67—24no—
319C4×#67—42no—
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×C4⋊Dic3C2311yescharacteristic
337C2×C4⋊Dic3C2311yescharacteristic
338C2×C4⋊Dic3C2311yescharacteristic
339C2×C4⋊Dic3C2311yescharacteristic
340C2×C4⋊Dic3C2311yescharacteristic
341C2×C4⋊Dic3C2311yescharacteristic
342C2×C4⋊Dic3C2311yescharacteristic
343C2×C4⋊Dic3C2311yescharacteristic
344C2×C4⋊Dic3C2311yescharacteristic
345C2×C4⋊Dic3C2311yescharacteristic
346C2×C4⋊Dic3C2311yescharacteristic
347C2×Dic3⋊C4—24no—
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×C4×Dic3—24no—
365C2×C4×Dic3C2311yescharacteristic
366C2×C4×Dic3C2311yescharacteristic
367C2×C4×Dic3C2311yescharacteristic
368C2×C4×Dic3C2311yescharacteristic
369C2×C4×Dic3C2311yescharacteristic
370C2×C4×Dic3C2311yescharacteristic
371C2×C4×Dic3C2311yescharacteristic
372C2×C4×Dic3C2311yescharacteristic
373C2×C4×Dic3C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375C2×C4×Dic3C2311yescharacteristic
376C2×C4×Dic3C2311yescharacteristic
377C2×C4×Dic3C2311yescharacteristic
378C2×C4×Dic3C2311yescharacteristic
379C2×C4×Dic3C2311yescharacteristic
380#898—24no—
381#898—24no—
382#892—24no—
383#889D418yescomplemented
384#887—24no—
385#885—24no—
386#885—42no—
387#883—24no—
388#67⋊C4—24no—
389#67⋊C4—24no—
390#67⋊C4—24no—
391#67⋊C4—42no—
392#879—24no—
393#879—24no—
394#878—24no—
395#878—24no—
396#878—42no—
397#877—24no—
398#877—24no—
399C3×#95C2311yescharacteristic
400C3×#95C2311yescharacteristic
401C3×#95C2311yescharacteristic
402C3×#95C2311yescharacteristic
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
423#553—68no—
424C2×#127—31no—
425C2×#127—31no—
426C2×#127C2×D311yescharacteristic
427#529—68no—
428C2×#126—31no—
429C2×#126—31no—
430C2×#126—31no—
431C2×#126—31no—
432C2×#125—31no—
433C2×#124—31no—
434C2×#124—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×#123C2×D311yescharacteristic
439C2×C22⋊Q8—31no—
440C2×C22⋊Q8—31no—
441C2×C22⋊Q8—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121C2×D311yescharacteristic
452C2×#121C2×D311yescharacteristic
453C2×C4×Q8—31no—
454C2×C4×D4—31no—
455C2×C4×D4—31no—
456C2×C4×D4—31no—
457C2×C4×D4—31no—
458C2×C4×D4—31no—
459C2×C4×D4—31no—
460C2×C4×D4—31no—
461C2×C4×D4—31no—
462C2×C4×D4—31no—
463C2×C4×D4—31no—
464C2×C4×D4—31no—
465C2×C4×D4—31no—
466C2×C4×D4—31no—
467C2×#117—31no—
468C2×#117—31no—
469C2×#117—31no—
470C22×C4⋊C4—31no—
471C22×C42—31no—
472#399—31no—
473#399—31no—
474#399—31no—
475#399—31no—
476#398—31no—
477#398—31no—
478#396—31no—
479#396—31no—
480#396—31no—
481#396—31no—
482#394—31no—
483#394—31no—
484#394—31no—
485#394—31no—
486#394—31no—
487#394—31no—
488#394—31no—
489#394—31no—
490#394C2×D311yescharacteristic
491#394C2×D311yescharacteristic
492#392—31no—
493#392—31no—
494#392—31no—
495#392—31no—
496#392—31no—
497#392—31no—
498#392—31no—
499#392—31no—
500#392C2×D311yescharacteristic
501#392C2×D311yescharacteristic
502#392C2×D311yescharacteristic
503#392C2×D311yescharacteristic
504#391—31no—
505#390—31no—
506#390—31no—
507#390—31no—
508#390—31no—
509#390—31no—
510#390—31no—
511#390—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#389—31no—
523#389—31no—
524#389—31no—
525#389—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#388—31no—
539#388—31no—
540#388—31no—
541#388C2×D311yescharacteristic
542#387—31no—
543#387—31no—
544#387—31no—
545#387—31no—
546#387—31no—
547#387C2×D311yescharacteristic
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#386—31no—
558#386—31no—
559#386C2×D311yescharacteristic
560#386C2×D311yescharacteristic
561#386C2×D311yescharacteristic
562#385—31no—
563#385—31no—
564#380—31no—
565#380—31no—
566#380—31no—
567#380—31no—
568C4×C4⋊C4—31no—
569C4×C4⋊C4—31no—
570C4×C4⋊C4—31no—
571C4×C4⋊C4—31no—
572C4×C4⋊C4—31no—
573C4×C4⋊C4—31no—
574C4×C4⋊C4—31no—
575C4×C4⋊C4—31no—
576C4×C22⋊C4—31no—
577C4×C22⋊C4—31no—
578C4×C22⋊C4—31no—
579C4×C22⋊C4—31no—
580C24×C3C2411yescharacteristic
581C24×C3C2411yescharacteristic
582C24×C3C2411yescharacteristic
583C24×C3C2411yescharacteristic
584C24×C3C2411yescharacteristic
585C23×D3C2411yescharacteristic
586C23×D3C2411yescharacteristic
587C2×C3×D4—22no—
588C2×C3×D4—22no—
589C2×C3×D4—22no—
590C2×C3×D4—22no—
591C2×C3×D4—22no—
592C2×C3×D4—22no—
593C2×C3×D4—22no—
594C2×C3×D4—22no—
595C2×C3×D4—22no—
596C2×C3×D4—22no—
597C2×C3×D4—22no—
598C2×C3×D4—22no—
599C2×C3×D4—22no—
600C2×C3×D4—41no—
601C2×C3×D4—41no—
602C2×C3×D4—41no—
603C2×C3×D4—41no—
604C2×C3×D4—41no—
605C2×C3×D4—41no—
606C2×C3×D4—41no—
607C2×C3×D4—41no—
608C2×C3×D4—41no—
609C2×C3×D4—41no—
610C2×C3×D4—41no—
611C2×C3×D4—41no—
612C2×C3×D4—41no—
613C2×C3×D4—41no—
614C2×C3×D4—41no—
615C2×C3×D4—41no—
616C2×C3×D4#4114yes—
617C22×C3×C4—22no—
618C22×C3×C4—22no—
619C22×C3×C4—22no—
620C22×C3×C4—41no—
621C22×C3×C4—41no—
622C22×C3×C4—41no—
623C22×C3×C4C2411yescharacteristic
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C22×C3×C4C2411yescharacteristic
627C22×C3×C4C2411yescharacteristic
628C22×C3×C4C2411yescharacteristic
629C22×C3×C4C2411yescharacteristic
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C2×#67—22no—
634C2×#67—22no—
635C2×#67—22no—
636C2×#67—22no—
637C2×#67—22no—
638C2×#67—22no—
639C2×#67—22no—
640C2×#67—22no—
641C2×#67—22no—
642C2×#67—22no—
643C2×#67—22no—
644C2×#67—22no—
645C2×#67—22no—
646C2×#67—22no—
647C2×#67—22no—
648C2×#67—41no—
649C2×#67—41no—
650C2×#67—41no—
651C2×#67—41no—
652C2×#67—41no—
653C2×#67—41no—
654C2×#67—41no—
655C2×#67—41no—
656C2×#67—41no—
657C2×#67—41no—
658C2×#67—41no—
659C2×#67—41no—
660C2×#67—41no—
661C2×#67—41no—
662C2×#67—41no—
663C22×Dic3—22no—
664C22×Dic3—22no—
665C22×Dic3—22no—
666C22×Dic3—22no—
667C22×Dic3—22no—
668C22×Dic3—22no—
669C22×Dic3—22no—
670C22×Dic3—22no—
671C22×Dic3—22no—
672C22×Dic3—22no—
673C22×Dic3—22no—
674C22×Dic3—22no—
675C22×Dic3—22no—
676C22×Dic3—22no—
677C22×Dic3—22no—
678C22×Dic3—41no—
679C22×Dic3—41no—
680C22×Dic3—41no—
681C22×Dic3—41no—
682C22×Dic3—41no—
683C22×Dic3—41no—
684C22×Dic3C2411yescharacteristic
685C22×Dic3C2411yescharacteristic
686C22×Dic3C2411yescharacteristic
687C22×Dic3C2411yescharacteristic
688C22×Dic3C2411yescharacteristic
689C22×Dic3C2411yescharacteristic
690C22×Dic3C2411yescharacteristic
691C22×Dic3C2411yescharacteristic
692C22×Dic3C2411yescharacteristic
693C22×Dic3C2411yescharacteristic
694C22×Dic3C2411yescharacteristic
695C22×Dic3C2411yescharacteristic
696C22×Dic3C2411yescharacteristic
697C22×Dic3C2411yescharacteristic
698C2×D12—22no—
699C2×D12—41no—
700C2×D12—41no—
701C2×C4×D3—22no—
702C2×C4×D3—22no—
703C2×C4×D3—22no—
704C2×C4×D3—41no—
705C2×C4×D3—41no—
706C2×C4×D3—41no—
707C2×Dic6—22no—
708C2×Dic6—22no—
709C2×Dic6—22no—
710C3×C4⋊C4—22no—
711C3×C4⋊C4—22no—
712C3×C4⋊C4C2×D414yes—
713C3×C22⋊C4—22no—
714C3×C22⋊C4—22no—
715C3×C22⋊C4—22no—
716C3×C22⋊C4—22no—
717C3×C22⋊C4—22no—
718C3×C22⋊C4—22no—
719C3×C22⋊C4—22no—
720C3×C22⋊C4—22no—
721C3×C22⋊C4—41no—
722C3×C22⋊C4—41no—
723C3×C22⋊C4—41no—
724C3×C22⋊C4—41no—
725C3×C22⋊C4—41no—
726C3×C42—22no—
727#217—22no—
728#217—22no—
729#217—22no—
730#217—22no—
731#217—22no—
732#217—22no—
733#217—22no—
734#217—22no—
735#217—22no—
736#217—22no—
737#217—22no—
738#217—22no—
739#217—22no—
740#217—22no—
741#217—41no—
742#217—41no—
743#217—41no—
744#217—41no—
745#217—41no—
746#217—41no—
747#217—41no—
748#217—41no—
749#217—41no—
750(C2×D3)⋊C4—22no—
751(C2×D3)⋊C4—22no—
752(C2×D3)⋊C4—22no—
753(C2×D3)⋊C4—22no—
754(C2×D3)⋊C4—22no—
755(C2×D3)⋊C4—22no—
756(C2×D3)⋊C4—22no—
757(C2×D3)⋊C4—22no—
758(C2×D3)⋊C4—22no—
759(C2×D3)⋊C4—22no—
760(C2×D3)⋊C4—41no—
761(C2×D3)⋊C4—41no—
762(C2×D3)⋊C4—41no—
763(C2×D3)⋊C4—41no—
764(C2×D3)⋊C4—41no—
765(C2×D3)⋊C4—41no—
766C4⋊Dic3—22no—
767C4⋊Dic3—22no—
768C4⋊Dic3—22no—
769C4⋊Dic3—22no—
770C4⋊Dic3—41no—
771C4⋊Dic3—41no—
772C4⋊Dic3—41no—
773C4⋊Dic3—41no—
774C4⋊Dic3—41no—
775C4⋊Dic3—41no—
776C4⋊Dic3C2×D414yes—
777Dic3⋊C4—22no—
778Dic3⋊C4—22no—
779Dic3⋊C4—22no—
780Dic3⋊C4—22no—
781Dic3⋊C4—22no—
782Dic3⋊C4—22no—
783Dic3⋊C4—22no—
784Dic3⋊C4—22no—
785Dic3⋊C4—41no—
786Dic3⋊C4—41no—
787Dic3⋊C4—41no—
788Dic3⋊C4C2×D414yes—
789Dic3⋊C4C2×D414yes—
790Dic3⋊C4C2×D414yes—
791Dic3⋊C4C2×D414yes—
792Dic3⋊C4#4114yes—
793C4×Dic3—22no—
794C4×Dic3—22no—
795C4×Dic3—22no—
796C4×Dic3—22no—
797C4×Dic3—22no—
798C4×Dic3—22no—
799C4×Dic3—22no—
800C4×Dic3—22no—
801C4×Dic3—22no—
802C4×Dic3—22no—
803C4×Dic3—41no—
804C4×Dic3—41no—
805C4×Dic3—41no—
806C4×Dic3—41no—
807C4×Dic3C2×D414yes—
808C22×Q8—31no—
809C22×D4—31no—
810C22×D4—31no—
811C22×D4—31no—
812C22×D4—31no—
813C22×D4—31no—
814C22×D4—31no—
815C22×D4—31no—
816C22×D4—31no—
817C22×D4—31no—
818C22×D4—31no—
819C22×D4—31no—
820C22×D4C22×D311yescharacteristic
821C22×D4C22×D311yescharacteristic
822C22×D4C22×D311yescharacteristic
823C22×D4C22×D311yescharacteristic
824C22×D4C22×D311yescharacteristic
825C22×D4C22×D311yescharacteristic
826C22×D4C22×D311yescharacteristic
827C22×D4C22×D311yescharacteristic
828C22×D4C22×D311yescharacteristic
829C22×D4C22×D311yescharacteristic
830C23×C4—31no—
831C23×C4—31no—
832C23×C4—31no—
833C23×C4—31no—
834C23×C4—31no—
835C23×C4—31no—
836C23×C4—31no—
837C23×C4—31no—
838C23×C4—31no—
839C23×C4C22×D311yescharacteristic
840C23×C4C22×D311yescharacteristic
841#127—24no—
842#127—64no—
843#127—122no—
844#126—64no—
845#126—64no—
846#126—64no—
847#126—64no—
848#125—38no—
849#124—64no—
850#124—122no—
851#123—24no—
852#123—64no—
853#123—64no—
854#123—64no—
855C22⋊Q8—64no—
856C22⋊Q8—64no—
857C22⋊Q8—122no—
858#121—24no—
859#121—24no—
860#121—64no—
861#121—64no—
862#121—64no—
863#121—64no—
864#121—64no—
865#121—64no—
866#121—122no—
867#121—122no—
868#121—122no—
869C4×Q8—64no—
870C4×D4—64no—
871C4×D4—64no—
872C4×D4—64no—
873C4×D4—64no—
874C4×D4—64no—
875C4×D4—64no—
876C4×D4—64no—
877C4×D4—122no—
878C4×D4—122no—
879C4×D4—122no—
880C4×D4—122no—
881C4×D4—122no—
882C4×D4—122no—
883#117—64no—
884#117—64no—
885#117—64no—
886C2×C4⋊C4—31no—
887C2×C4⋊C4—31no—
888C2×C4⋊C4—31no—
889C2×C4⋊C4—31no—
890C2×C4⋊C4—31no—
891C2×C4⋊C4—31no—
892C2×C4⋊C4—31no—
893C2×C4⋊C4—31no—
894C2×C4⋊C4—31no—
895C2×C4⋊C4—31no—
896C2×C4⋊C4—31no—
897C2×C4⋊C4—31no—
898C2×C4⋊C4—31no—
899C2×C4⋊C4—31no—
900C2×C4⋊C4—31no—
901C2×C4⋊C4—31no—
902C2×C4⋊C4—31no—
903C2×C4⋊C4—31no—
904C2×C4⋊C4—31no—
905C2×C4⋊C4—31no—
906C2×C4⋊C4—31no—
907C2×C4⋊C4—31no—
908C2×C4⋊C4—31no—
909C2×C4⋊C4—31no—
910C2×C4⋊C4—31no—
911C2×C4⋊C4—31no—
912C2×C4⋊C4—31no—
913C2×C4⋊C4—64no—
914C2×C4⋊C4C22×D311yescharacteristic
915C2×C4⋊C4C22×D311yescharacteristic
916C2×C4⋊C4C22×D311yescharacteristic
917C2×C22⋊C4—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—31no—
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊C4—31no—
943C2×C22⋊C4—31no—
944C2×C22⋊C4—31no—
945C2×C22⋊C4—31no—
946C2×C22⋊C4—31no—
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⋊C4C22×D311yescharacteristic
957C2×C22⋊C4C22×D311yescharacteristic
958C2×C22⋊C4C22×D311yescharacteristic
959C2×C22⋊C4C22×D311yescharacteristic
960C2×C22⋊C4C22×D311yescharacteristic
961C2×C22⋊C4C22×D311yescharacteristic
962C2×C22⋊C4C22×D311yescharacteristic
963C2×C22⋊C4C22×D311yescharacteristic
964C2×C22⋊C4C22×D311yescharacteristic
965C2×C22⋊C4C22×D311yescharacteristic
966C2×C22⋊C4C22×D311yescharacteristic
967C2×C22⋊C4C22×D311yescharacteristic
968C2×C22⋊C4C22×D311yescharacteristic
969C2×C42—31no—
970C2×C42—31no—
971C2×C42—31no—
972C2×C42—31no—
973C2×C42—31no—
974C2×C42—31no—
975C2×C42—31no—
976C2×C42—31no—
977C2×C42—31no—
978C2×C42—31no—
979C2×C42—31no—
980C2×C42—31no—
981C2×C42—31no—
982C2×C42—31no—
983C2×C42—31no—
984C2×C42—64no—
985C2×C42C22×D311yescharacteristic
986#95—31no—
987#95—31no—
988#95—31no—
989#95—31no—
990#95—31no—
991#95—31no—
992#95—31no—
993#95—31no—
994#95—31no—
995#95—31no—
996#95—31no—
997#95—31no—
998#95—31no—
999#95—31no—
1000#95—31no—
1001#95—31no—
1002#95—31no—
1003#95—31no—
1004#95C22×D311yescharacteristic
1005#95C22×D311yescharacteristic
1006#95C22×D311yescharacteristic
1007#95C22×D311yescharacteristic
1008#95C22×D311yescharacteristic
1009#95C22×D311yescharacteristic
1010C23×C3—21no—
1011C23×C3—21no—
1012C23×C3—21no—
1013C23×C3—21no—
1014C23×C3—21no—
1015C23×C3—21no—
1016C23×C3—21no—
1017C23×C3—21no—
1018C23×C3—21no—
1019C23×C3—21no—
1020C23×C3—21no—
1021C23×C3—21no—
1022C23×C3—21no—
1023C23×C3—21no—
1024C23×C3—21no—
1025C23×C3—21no—
1026C23×C3—21no—
1027C23×C3—21no—
1028C23×C3—21no—
1029C23×C3—21no—
1030C23×C3—21no—
1031C23×C3—21no—
1032C23×C3—21no—
1033C23×C3—21no—
1034C23×C3—21no—
1035C23×C3—21no—
1036C23×C3—21no—
1037C23×C3—21no—
1038C23×C3—21no—
1039C23×C3—21no—
1040C23×C3—21no—
1041C23×C3—21no—
1042C23×C3—21no—
1043C23×C3C2×#4112yes—
1044C23×C3C2×#4112yes—
1045C23×C3C2511yescharacteristic
1046C22×D3—21no—
1047C22×D3—21no—
1048C22×D3—21no—
1049C22×D3—21no—
1050C22×D3—21no—
1051C22×D3—21no—
1052C22×D3—21no—
1053C22×D3—21no—
1054C22×D3—21no—
1055C22×D3—21no—
1056C22×D3—21no—
1057C22×D3—21no—
1058C22×D3—21no—
1059C22×D3—21no—
1060C3×D4—44no—
1061C3×D4—44no—
1062C3×D4—44no—
1063C3×D4—44no—
1064C3×D4—44no—
1065C3×D4—44no—
1066C3×D4—44no—
1067C3×D4—82no—
1068C3×D4—82no—
1069C3×D4—82no—
1070C2×C3×C4—21no—
1071C2×C3×C4—21no—
1072C2×C3×C4—21no—
1073C2×C3×C4—21no—
1074C2×C3×C4—21no—
1075C2×C3×C4—21no—
1076C2×C3×C4—21no—
1077C2×C3×C4—21no—
1078C2×C3×C4—21no—
1079C2×C3×C4—21no—
1080C2×C3×C4—21no—
1081C2×C3×C4—21no—
1082C2×C3×C4—21no—
1083C2×C3×C4—21no—
1084C2×C3×C4—21no—
1085C2×C3×C4—21no—
1086C2×C3×C4—21no—
1087C2×C3×C4—21no—
1088C2×C3×C4—21no—
1089C2×C3×C4—21no—
1090C2×C3×C4—21no—
1091C2×C3×C4—21no—
1092C2×C3×C4—21no—
1093C2×C3×C4—21no—
1094C2×C3×C4—21no—
1095C2×C3×C4—44no—
1096C2×C3×C4—82no—
1097C2×C3×C4C22×D412yes—
1098C2×C3×C4C22×D412yes—
1099C2×C3×C4C22×D412yes—
1100C2×C3×C4C2×#4112yes—
1101C2×C3×C4C2×#4112yes—
1102#67—44no—
1103#67—44no—
1104#67—44no—
1105#67—44no—
1106#67—44no—
1107#67—44no—
1108#67—82no—
1109#67—82no—
1110#67—82no—
1111#67—82no—
1112C2×Dic3—21no—
1113C2×Dic3—21no—
1114C2×Dic3—21no—
1115C2×Dic3—21no—
1116C2×Dic3—21no—
1117C2×Dic3—21no—
1118C2×Dic3—21no—
1119C2×Dic3—21no—
1120C2×Dic3—21no—
1121C2×Dic3—21no—
1122C2×Dic3—21no—
1123C2×Dic3—21no—
1124C2×Dic3—21no—
1125C2×Dic3—21no—
1126C2×Dic3—21no—
1127C2×Dic3—21no—
1128C2×Dic3—21no—
1129C2×Dic3—21no—
1130C2×Dic3—21no—
1131C2×Dic3—21no—
1132C2×Dic3—21no—
1133C2×Dic3—21no—
1134C2×Dic3—21no—
1135C2×Dic3—21no—
1136C2×Dic3—21no—
1137C2×Dic3—21no—
1138C2×Dic3—21no—
1139C2×Dic3—21no—
1140C2×Dic3—21no—
1141C2×Dic3—21no—
1142C2×Dic3—21no—
1143C2×Dic3—21no—
1144C2×Dic3—21no—
1145C2×Dic3—21no—
1146C2×Dic3—44no—
1147C2×Dic3—44no—
1148C2×Dic3—44no—
1149C2×Dic3—44no—
1150C2×Dic3—44no—
1151C2×Dic3—82no—
1152C2×Dic3—82no—
1153C2×Dic3C22×D412yes—
1154C2×Dic3C22×D412yes—
1155C2×Dic3C22×D412yes—
1156C2×Dic3C22×D412yes—
1157C2×Dic3C2×#4112yes—
1158C2×Dic3C2×#4112yes—
1159C2×Dic3H(5,𝔽2)12yes—
1160C2×Dic3H(5,𝔽2)12yes—
1161D12—82no—
1162C4×D3—44no—
1163C4×D3—82no—
1164Dic6—44no—
1165C24—31no—
1166C24—31no—
1167C24C23×D311yescharacteristic
1168C24C23×D311yescharacteristic
1169C24C23×D311yescharacteristic
1170C24C23×D311yescharacteristic
1171C24C23×D311yescharacteristic
1172C2×Q8—62no—
1173C2×Q8—62no—
1174C2×Q8—62no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—22no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—62no—
1205C2×D4—62no—
1206C2×D4—62no—
1207C2×D4—62no—
1208C2×D4—62no—
1209C2×D4—62no—
1210C2×D4—62no—
1211C2×D4—62no—
1212C2×D4—62no—
1213C2×D4—62no—
1214C2×D4—62no—
1215C2×D4—62no—
1216C2×D4—62no—
1217C2×D4—62no—
1218C2×D4—62no—
1219C2×D4—62no—
1220C2×D4—121no—
1221C2×D4—121no—
1222C2×D4—121no—
1223C2×D4—121no—
1224C2×D4—121no—
1225C2×D4—121no—
1226C2×D4—121no—
1227C2×D4—121no—
1228C2×D4—121no—
1229C2×D4—121no—
1230C2×D4—121no—
1231C2×D4—121no—
1232C2×D4—121no—
1233C2×D4—121no—
1234C2×D4—121no—
1235C2×D4—121no—
1236C2×D4—121no—
1237C2×D4#23714yes—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—31no—
1242C22×C4—31no—
1243C22×C4—31no—
1244C22×C4—31no—
1245C22×C4—31no—
1246C22×C4—31no—
1247C22×C4—31no—
1248C22×C4—31no—
1249C22×C4—31no—
1250C22×C4—31no—
1251C22×C4—31no—
1252C22×C4—31no—
1253C22×C4—31no—
1254C22×C4—31no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—62no—
1259C22×C4—62no—
1260C22×C4—62no—
1261C22×C4—62no—
1262C22×C4—62no—
1263C22×C4—62no—
1264C22×C4—62no—
1265C22×C4—62no—
1266C22×C4—62no—
1267C22×C4—62no—
1268C22×C4—62no—
1269C22×C4—62no—
1270C22×C4—62no—
1271C22×C4—62no—
1272C22×C4—62no—
1273C22×C4—62no—
1274C22×C4—62no—
1275C22×C4—62no—
1276C22×C4—121no—
1277C22×C4—121no—
1278C22×C4—121no—
1279C22×C4—121no—
1280C22×C4—121no—
1281C22×C4—121no—
1282C22×C4—121no—
1283C22×C4—121no—
1284C22×C4—121no—
1285C22×C4C23×D311yescharacteristic
1286C22×C4C23×D311yescharacteristic
1287C22×C4C23×D311yescharacteristic
1288C22×C4C23×D311yescharacteristic
1289C22×C4C23×D311yescharacteristic
1290C22×C4C23×D311yescharacteristic
1291C22×C4C23×D311yescharacteristic
1292C22×C4C23×D311yescharacteristic
1293C22×C4C23×D311yescharacteristic
1294C22×C4C23×D311yescharacteristic
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—34no—
1298C4⋊C4—34no—
1299C4⋊C4—34no—
1300C4⋊C4—34no—
1301C4⋊C4—34no—
1302C4⋊C4—34no—
1303C4⋊C4—62no—
1304C4⋊C4—62no—
1305C4⋊C4—62no—
1306C4⋊C4—62no—
1307C4⋊C4—62no—
1308C4⋊C4—62no—
1309C4⋊C4—62no—
1310C4⋊C4—62no—
1311C4⋊C4—62no—
1312C4⋊C4—62no—
1313C4⋊C4—62no—
1314C4⋊C4—62no—
1315C4⋊C4—121no—
1316C4⋊C4—121no—
1317C4⋊C4—121no—
1318C4⋊C4—121no—
1319C4⋊C4—121no—
1320C4⋊C4—121no—
1321C4⋊C4—121no—
1322C4⋊C4—121no—
1323C4⋊C4—121no—
1324C4⋊C4D3×D414yes—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—62no—
1339C22⋊C4—62no—
1340C22⋊C4—62no—
1341C22⋊C4—62no—
1342C22⋊C4—62no—
1343C22⋊C4—62no—
1344C22⋊C4—62no—
1345C22⋊C4—62no—
1346C22⋊C4—62no—
1347C22⋊C4—62no—
1348C22⋊C4—62no—
1349C22⋊C4—62no—
1350C22⋊C4—62no—
1351C22⋊C4—62no—
1352C22⋊C4—62no—
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—62no—
1362C22⋊C4—121no—
1363C22⋊C4—121no—
1364C22⋊C4—121no—
1365C22⋊C4—121no—
1366C22⋊C4—121no—
1367C22⋊C4—121no—
1368C22⋊C4—121no—
1369C22⋊C4—121no—
1370C22⋊C4—121no—
1371C22⋊C4—121no—
1372C22⋊C4—121no—
1373C22⋊C4—121no—
1374C22⋊C4—121no—
1375C22⋊C4—121no—
1376C22⋊C4—121no—
1377C42—22no—
1378C42—34no—
1379C42—62no—
1380C42—62no—
1381C42—62no—
1382C42—62no—
1383C42—62no—
1384C42—62no—
1385C42—62no—
1386C42—62no—
1387C42—62no—
1388C42—62no—
1389C42—121no—
1390C42—121no—
1391C42—121no—
1392C42—121no—
1393C22×C3—22no—
1394C22×C3—22no—
1395C22×C3—22no—
1396C22×C3—22no—
1397C22×C3—22no—
1398C22×C3—22no—
1399C22×C3—41no—
1400C22×C3—41no—
1401C22×C3—41no—
1402C22×C3—41no—
1403C22×C3—41no—
1404C22×C3—41no—
1405C22×C3—41no—
1406C22×C3—41no—
1407C22×C3—41no—
1408C22×C3—41no—
1409C22×C3—41no—
1410C22×C3—41no—
1411C22×C3—41no—
1412C22×C3—41no—
1413C22×C3—41no—
1414C22×C3—41no—
1415C22×C3—41no—
1416C22×C3—41no—
1417C22×C3—41no—
1418C22×C3—41no—
1419C22×C3—41no—
1420C22×C3—41no—
1421C22×C3—41no—
1422C22×C3—41no—
1423C22×C3—41no—
1424C22×C3—41no—
1425C22×C3—41no—
1426C22×C3—41no—
1427C22×C3—41no—
1428C22×C3C23×D411yescharacteristic
1429C22×C3C22×#4111yescharacteristic
1430C22×C3C22×#4111yescharacteristic
1431C22×C3C2×H(5,𝔽2)11yescharacteristic
1432C22×C3C2×H(5,𝔽2)11yescharacteristic
1433C22×C3#58511yescharacteristic
1434C22×C3#58511yescharacteristic
1435C2×D3—41no—
1436C2×D3—41no—
1437C2×D3—41no—
1438C2×D3—41no—
1439C2×D3—41no—
1440C2×D3—41no—
1441C2×D3—41no—
1442C2×D3—41no—
1443C2×D3—41no—
1444C2×D3—41no—
1445C2×D3—41no—
1446C2×D3—41no—
1447C2×D3—41no—
1448C2×D3—41no—
1449C3×C4—22no—
1450C3×C4—22no—
1451C3×C4—22no—
1452C3×C4—22no—
1453C3×C4—22no—
1454C3×C4—41no—
1455C3×C4—41no—
1456C3×C4—41no—
1457C3×C4—41no—
1458C3×C4—41no—
1459Dic3—22no—
1460Dic3—22no—
1461Dic3—22no—
1462Dic3—22no—
1463Dic3—22no—
1464Dic3—41no—
1465Dic3—41no—
1466Dic3—41no—
1467Dic3—41no—
1468Dic3—41no—
1469Dic3—41no—
1470Dic3—41no—
1471Dic3—41no—
1472Dic3#55014yes—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—61no—
1507C23—61no—
1508C23—61no—
1509C23—61no—
1510C23—61no—
1511C23—61no—
1512C23—61no—
1513C23—61no—
1514C23—61no—
1515C23—61no—
1516C23—61no—
1517C23—61no—
1518C23—61no—
1519C23—61no—
1520C23C2×#23712yes—
1521C23C2×#23712yes—
1522C23C24×D311yescharacteristic
1523Q8—124no—
1524D4—44no—
1525D4—44no—
1526D4—44no—
1527D4—44no—
1528D4—44no—
1529D4—44no—
1530D4—44no—
1531D4—82no—
1532D4—82no—
1533D4—82no—
1534D4—124no—
1535D4—124no—
1536D4—124no—
1537D4—124no—
1538D4—124no—
1539D4—124no—
1540D4—242no—
1541D4—242no—
1542D4—242no—
1543D4—242no—
1544D4—242no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—32no—
1571C2×C4—32no—
1572C2×C4—32no—
1573C2×C4—32no—
1574C2×C4—32no—
1575C2×C4—32no—
1576C2×C4—32no—
1577C2×C4—32no—
1578C2×C4—44no—
1579C2×C4—61no—
1580C2×C4—61no—
1581C2×C4—61no—
1582C2×C4—61no—
1583C2×C4—61no—
1584C2×C4—61no—
1585C2×C4—61no—
1586C2×C4—61no—
1587C2×C4—61no—
1588C2×C4—61no—
1589C2×C4—61no—
1590C2×C4—61no—
1591C2×C4—61no—
1592C2×C4—61no—
1593C2×C4—61no—
1594C2×C4—61no—
1595C2×C4—61no—
1596C2×C4—61no—
1597C2×C4—61no—
1598C2×C4—61no—
1599C2×C4—61no—
1600C2×C4—61no—
1601C2×C4—61no—
1602C2×C4—61no—
1603C2×C4—61no—
1604C2×C4—61no—
1605C2×C4—61no—
1606C2×C4—61no—
1607C2×C4—61no—
1608C2×C4—61no—
1609C2×C4—61no—
1610C2×C4—61no—
1611C2×C4—61no—
1612C2×C4—61no—
1613C2×C4—82no—
1614C2×C4—124no—
1615C2×C4—124no—
1616C2×C4—124no—
1617C2×C4—124no—
1618C2×C4—124no—
1619C2×C4—124no—
1620C2×C4—242no—
1621C2×C4—242no—
1622C2×C4—242no—
1623C2×C4C2×D3×D412yes—
1624C2×C4C2×D3×D412yes—
1625C2×C4C2×D3×D412yes—
1626C2×C4C2×#23712yes—
1627C2×C4D3×#4112yes—
1628C2×C3—42no—
1629C2×C3—42no—
1630C2×C3—81no—
1631C2×C3—81no—
1632C2×C3—81no—
1633C2×C3C2×#55011yescharacteristic
1634C2×C3D4×#4111yescharacteristic
1635C2×C3#348111yescharacteristic
1636C2×C3#348811yescharacteristic
1637C2×C3#350511yescharacteristic
1638C2×C3#352411yescharacteristic
1639C2×C3#354611yescharacteristic
1640D3—81no—
1641D3—81no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—22no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—121no—
1678C22—121no—
1679C22—121no—
1680C22—121no—
1681C22—121no—
1682C22—121no—
1683C22—121no—
1684C22—121no—
1685C22—121no—
1686C22—121no—
1687C22—121no—
1688C22—121no—
1689C22—121no—
1690C22—121no—
1691C22C22×D3×D411yescharacteristic
1692C22C22×#23711yescharacteristic
1693C22C2×D3×#4111yescharacteristic
1694C22D3×H(5,𝔽2)11yescharacteristic
1695C22D3×H(5,𝔽2)11yescharacteristic
1696C22#596611yescharacteristic
1697C22#596611yescharacteristic
1698C4—22no—
1699C4—22no—
1700C4—22no—
1701C4—22no—
1702C4—22no—
1703C4—34no—
1704C4—41no—
1705C4—41no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—62no—
1710C4—62no—
1711C4—62no—
1712C4—62no—
1713C4—62no—
1714C4—121no—
1715C4—121no—
1716C4—121no—
1717C4—121no—
1718C4—121no—
1719C4—121no—
1720C4—121no—
1721C4—121no—
1722C3#5905311yescharacteristic, complemented, Sylow
1723C2—42no—
1724C2—42no—
1725C2—81no—
1726C2—81no—
1727C2—81no—
1728C2—241no—
1729C2—241no—
1730C2#8629911yescharacteristic
1731C2#8633111yescharacteristic
1732C2#8647111yescharacteristic
1733C2D4×#23711yescharacteristic
1734C2#8662811yescharacteristic
1735C2D3×#55011yescharacteristic
1736C2#8707511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2673C2
hypercenter#2673D3
hypocenterC3#59053
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2673

Complements

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

NH ≅ G/Ntype
1. C2×#5649C2semidirect
2. C2×#5601C2semidirect
3. C3×#2673C2semidirect
4. #83177C2semidirect
5. #83173C2semidirect
6. #82880C2semidirect
7. #82703C2semidirect
8. #82683C2semidirect
9. Dic3×#121C2semidirect
10. #76945C2semidirect
11. #76932C2semidirect
12. #76920C2semidirect
13. #76901C2semidirect
14. #76689C2semidirect
15. #76687C2semidirect
16. #76687C2semidirect
17. #76677C2semidirect
18. #76676C2semidirect
19. #76671C2semidirect
20. #76670C2semidirect
21. #76670C2semidirect
22. #75595C2semidirect
23. #75478C2semidirect
24. #75018C2semidirect
25. #74969C2semidirect
26. #74816C2semidirect
27. #74722C2semidirect
28. #74693C2semidirect
29. #74679C2semidirect
30. #74676C2semidirect
31. #74660C2semidirect
195. #2673D3semidirect
383. #889D4semidirect
1722. C3#59053semidirect

Maximal subgroups

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

subgroupindex
C2×#56492
C2×#56012
C3×#26732
#831772
#831732
#828802
#827032
#826832
Dic3×#1212
#769452
#769322
#769202
#769012
#766892
#766872
#766772
#766762
#766712
#766702
#755952
#754782
#750182
#749692
#748162
#747222
#746932
#746792
#746762
#746602
#590533