Finite Group Databasebeta

← #11025420

Subgroups — #11025420

Order 768.

2552 conjugacy classes of subgroups.

The subgroup lattice has 1702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×#124C211yesmaximal, characteristic, complemented
2C2×#5669C211yesmaximal, characteristic, complemented
3#84068C211yesmaximal, characteristic, complemented
4#84065C211yesmaximal, characteristic, complemented
5#84048C211yesmaximal, characteristic
6#84047C211yesmaximal, characteristic, complemented
7#83006C211yesmaximal, characteristic, complemented
8#83004C211yesmaximal, characteristic, complemented
9#82990C211yesmaximal, characteristic, complemented
10#82989C211yesmaximal, characteristic, complemented
11#82987C211yesmaximal, characteristic, complemented
12#82985C211yesmaximal, characteristic, complemented
13#82984C211yesmaximal, characteristic, complemented
14#82982C211yesmaximal, characteristic, complemented
15#82981C211yesmaximal, characteristic, complemented
16#82977C211yesmaximal, characteristic, complemented
17#82968C211yesmaximal, characteristic, complemented
18#82967C211yesmaximal, characteristic, complemented
19#82966C211yesmaximal, characteristic, complemented
20#82964C211yesmaximal, characteristic, complemented
21#82954C211yesmaximal, characteristic, complemented
22#82128C211yesmaximal, characteristic, complemented
23#82112C211yesmaximal, characteristic, complemented
24#82111C211yesmaximal, characteristic, complemented
25#82111C211yesmaximal, characteristic, complemented
26#82110C211yesmaximal, characteristic, complemented
27#82110C211yesmaximal, characteristic, complemented
28#82099C211yesmaximal, characteristic, complemented
29#82098C211yesmaximal, characteristic, complemented
30#82078C211yesmaximal, characteristic, complemented
31C4×#924C211yesmaximal, characteristic, complemented
32#37718—31nomaximal, Sylow
33C23×C3×Q8C2211yescharacteristic
34C23×C3×D4C2211yescharacteristic
35C2×C3×#124—28no—
36C2×C3×#124C2211yescharacteristic
37C2×C3×#124C2211yescharacteristic
38C2×C3×#124C2211yescharacteristic
39C2×C3×#124C2211yescharacteristic
40C2×C3×#124C2211yescharacteristic
41C2×C3×#124C2211yescharacteristic
42C2×C3×#124C2211yescharacteristic
43C2×C3×#124C2211yescharacteristic
44C22×C3×C22⋊C4C2211yescharacteristic
45C22×C3×C22⋊C4C2211yescharacteristic
46C22×C3×C22⋊C4C2211yescharacteristic
47C22×C3×C22⋊C4C2211yescharacteristic
48C22×C3×C42C2211yescharacteristic
49C2×#953C2211yescharacteristic
50C2×#953C2211yescharacteristic
51C22×#217C2211yescharacteristic
52C22×#217C2211yescharacteristic
53C2×#946C2211yescharacteristic, complemented
54C2×#946C2211yescharacteristic, complemented
55C2×#944C2211yescharacteristic, complemented
56C2×#944C2211yescharacteristic, complemented
57C2×#939C2211yescharacteristic
58C2×#939C2211yescharacteristic
59C2×#935C2211yescharacteristic
60C2×#935C2211yescharacteristic
61C2×C4×#67C2211yescharacteristic
62C2×#924C2211yescharacteristic
63C2×#924C2211yescharacteristic
64#5669—28no—
65C2×#885C2211yescharacteristic, complemented
66C2×#885C2211yescharacteristic, complemented
67C2×#883C2211yescharacteristic, complemented
68C2×#67⋊C4C2211yescharacteristic, complemented
69C2×#879C2211yescharacteristic, complemented
70C2×#878C2211yescharacteristic, complemented
71C2×#878C2211yescharacteristic, complemented
72C2×#877C2211yescharacteristic, complemented
73C2×#876C2211yescharacteristic, complemented
74C2×C4×Dic6C2211yescharacteristic, complemented
75#5247C2211yescharacteristic
76#5247C2211yescharacteristic
77#5247C2211yescharacteristic
78#5247C2211yescharacteristic
79#5231C2211yescharacteristic, complemented
80#5231C2211yescharacteristic, complemented
81#5230C2211yescharacteristic, complemented
82#5230C2211yescharacteristic, complemented
83#5230C2211yescharacteristic, complemented
84#5230C2211yescharacteristic, complemented
85#5230C2211yescharacteristic, complemented
86#5230C2211yescharacteristic, complemented
87#5229C2211yescharacteristic, complemented
88#5229C2211yescharacteristic, complemented
89#5229C2211yescharacteristic, complemented
90#5229C2211yescharacteristic, complemented
91#5223C2211yescharacteristic
92#5223C2211yescharacteristic
93#5222C2211yescharacteristic
94#5222C2211yescharacteristic
95#5222C2211yescharacteristic
96#5222C2211yescharacteristic
97#5222C2211yescharacteristic
98#5222C2211yescharacteristic
99#5220C2211yescharacteristic
100#5220C2211yescharacteristic
101#5220C2211yescharacteristic
102#5220C2211yescharacteristic
103#5213C2211yescharacteristic
104#5213C2211yescharacteristic
105#5213C2211yescharacteristic
106#5213C2211yescharacteristic
107#5212C2211yescharacteristic
108#5212C2211yescharacteristic
109#5210C2211yescharacteristic
110#5210C2211yescharacteristic
111#5210C2211yescharacteristic
112#5210C2211yescharacteristic
113#5210C2211yescharacteristic
114#5210C2211yescharacteristic
115#5210C2211yescharacteristic
116#5210C2211yescharacteristic
117C4×#217C2211yescharacteristic
118C4×#217C2211yescharacteristic
119C4×#217C2211yescharacteristic
120#4961C2211yescharacteristic, complemented
121#4961C2211yescharacteristic, complemented
122#4961C2211yescharacteristic, complemented
123#4959C2211yescharacteristic, complemented
124#4959C2211yescharacteristic, complemented
125#4959C2211yescharacteristic, complemented
126#4958C2211yescharacteristic, complemented
127#4957C2211yescharacteristic, complemented
128#4957C2211yescharacteristic, complemented
129#4957C2211yescharacteristic, complemented
130#4956C2211yescharacteristic, complemented
131#4956C2211yescharacteristic, complemented
132#4953C2211yescharacteristic, complemented
133#4952C2211yescharacteristic, complemented
134#4952C2211yescharacteristic, complemented
135#4952C2211yescharacteristic, complemented
136#4952C2211yescharacteristic, complemented
137#4952C2211yescharacteristic, complemented
138#4951C2211yescharacteristic, complemented
139#4951C2211yescharacteristic, complemented
140#4951C2211yescharacteristic, complemented
141#4951C2211yescharacteristic, complemented
142#4950C2211yescharacteristic, complemented
143#4950C2211yescharacteristic, complemented
144#4949C2211yescharacteristic, complemented
145#4949C2211yescharacteristic, complemented
146#4949C2211yescharacteristic, complemented
147#4948C2211yescharacteristic, complemented
148#4948C2211yescharacteristic, complemented
149#4948C2211yescharacteristic, complemented
150#4948C2211yescharacteristic, complemented
151#4948C2211yescharacteristic, complemented
152#4947C2211yescharacteristic, complemented
153#4947C2211yescharacteristic, complemented
154#4947C2211yescharacteristic, complemented
155#4947C2211yescharacteristic, complemented
156#4946C2211yescharacteristic, complemented
157#4946C2211yescharacteristic, complemented
158#4946C2211yescharacteristic, complemented
159#4945C2211yescharacteristic, complemented
160#4945C2211yescharacteristic, complemented
161#4945C2211yescharacteristic, complemented
162#4945C2211yescharacteristic, complemented
163#4945C2211yescharacteristic, complemented
164#4944C2211yescharacteristic, complemented
165#4944C2211yescharacteristic, complemented
166#4944C2211yescharacteristic, complemented
167#4944C2211yescharacteristic, complemented
168#4944C2211yescharacteristic, complemented
169#4944C2211yescharacteristic, complemented
170#4943C2211yescharacteristic, complemented
171#4942C2211yescharacteristic, complemented
172#4942C2211yescharacteristic, complemented
173#4942C2211yescharacteristic, complemented
174Dic3×C22⋊C4C2211yescharacteristic, complemented
175Dic3×C22⋊C4C2211yescharacteristic, complemented
176#4940C2211yescharacteristic, complemented
177#4940C2211yescharacteristic, complemented
178#4940C2211yescharacteristic, complemented
179#4937C2211yescharacteristic, complemented
180C4×C4⋊Dic3C2211yescharacteristic, complemented
181#4933C2211yescharacteristic, complemented
182#4933C2211yescharacteristic, complemented
183#4933C2211yescharacteristic, complemented
184#4933C2211yescharacteristic, complemented
185#4933C2211yescharacteristic, complemented
186C4×Dic3⋊C4C2211yescharacteristic, complemented
187C4×Dic3⋊C4C2211yescharacteristic, complemented
188#4929C2211yescharacteristic, complemented
189#4928C2211yescharacteristic, complemented
190C2×#542—31no—
191C22×#124D311yescharacteristic, complemented
192#2852—31no—
193#2731—31no—
194#2730—31no—
195#2717—31no—
196#2712—31no—
197#2700—31no—
198#2686—31no—
199#2674—31no—
200#2672—31no—
201#2662—31no—
202#2632—31no—
203#2521—31no—
204#2491—31no—
205#2480—31no—
206#2474—31no—
207#2472—31no—
208#2472—31no—
209#2461—31no—
210#2437—31no—
211#2437—31no—
212#2434—31no—
213#2418—31no—
214#2410—31no—
215#2409—31no—
216#2405—31no—
217#2358—31no—
218#2342—31no—
219#2337—31no—
220C4×C22⋊Q8—31no—
221C25×C3C2311yescharacteristic
222C25×C3C2311yescharacteristic
223C22×C3×Q8—24no—
224C22×C3×Q8—42no—
225C22×C3×Q8—42no—
226C22×C3×Q8C2311yescharacteristic
227C22×C3×Q8C2311yescharacteristic
228C22×C3×Q8C2311yescharacteristic
229C22×C3×Q8C2311yescharacteristic
230C22×C3×D4—24no—
231C22×C3×D4—42no—
232C22×C3×D4—42no—
233C22×C3×D4C2311yescharacteristic
234C22×C3×D4C2311yescharacteristic
235C22×C3×D4C2311yescharacteristic
236C22×C3×D4C2311yescharacteristic
237C23×C3×C4C2311yescharacteristic
238C23×C3×C4C2311yescharacteristic
239C23×C3×C4C2311yescharacteristic
240C23×C3×C4C2311yescharacteristic
241C23×C3×C4C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C23×Dic3C2311yescharacteristic
248C23×Dic3C2311yescharacteristic
249C23×Dic3C2311yescharacteristic
250C23×Dic3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×Dic6C2311yescharacteristic
253C22×Dic6C2311yescharacteristic
254C3×#124—24no—
255C3×#124—24no—
256C3×#124—24no—
257C3×#124—24no—
258C3×#124—24no—
259C3×#124—24no—
260C3×#124—24no—
261C3×#124D418yescomplemented
262C2×C3×C22⋊C4—24no—
263C2×C3×C22⋊C4—24no—
264C2×C3×C22⋊C4—24no—
265C2×C3×C22⋊C4—24no—
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×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C42—24no—
283C2×C3×C42C2311yescharacteristic
284C2×C3×C42C2311yescharacteristic
285C2×C3×C42C2311yescharacteristic
286C2×C3×C42C2311yescharacteristic
287#953—24no—
288#953—42no—
289C2×#217—24no—
290C2×#217—42no—
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313C2×#217C2311yescharacteristic
314C2×#217C2311yescharacteristic
315C2×#217C2311yescharacteristic
316C2×#217C2311yescharacteristic
317C2×#217C2311yescharacteristic
318C2×#217C2311yescharacteristic
319C2×#217C2311yescharacteristic
320C2×#217C2311yescharacteristic
321C2×#217C2311yescharacteristic
322#946—24no—
323#946—42no—
324#944—24no—
325#944—42no—
326#939—24no—
327#939—42no—
328#935—24no—
329#935—42no—
330C4×#67—42no—
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×C4⋊Dic3C2311yescharacteristic
341C2×C4⋊Dic3C2311yescharacteristic
342C2×C4⋊Dic3C2311yescharacteristic
343C2×C4⋊Dic3C2311yescharacteristic
344C2×C4⋊Dic3C2311yescharacteristic
345C2×C4⋊Dic3C2311yescharacteristic
346#924—24no—
347#924—42no—
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×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×C4×Dic3C2311yescharacteristic
370C2×C4×Dic3C2311yescharacteristic
371C2×C4×Dic3C2311yescharacteristic
372C2×C4×Dic3C2311yescharacteristic
373C2×C4×Dic3C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375C2×C4×Dic3C2311yescharacteristic
376#885—24no—
377#885—24no—
378#883—24no—
379#67⋊C4—24no—
380#879—24no—
381#878—24no—
382#878—24no—
383#877—24no—
384#876—24no—
385C4×Dic6—24no—
386C3⋊#95C2311yescharacteristic
387C3⋊#95C2311yescharacteristic
388C3⋊#95C2311yescharacteristic
389C3⋊#95C2311yescharacteristic
390C3⋊#95C2311yescharacteristic
391C3⋊#95C2311yescharacteristic
392C3⋊#95C2311yescharacteristic
393C3⋊#95C2311yescharacteristic
394C3⋊#95C2311yescharacteristic
395C3⋊#95C2311yescharacteristic
396C3⋊#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
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
420C23×Q8C2×D311yescharacteristic
421C23×D4C2×D311yescharacteristic
422#542—68no—
423C2×C4⋊Q8—31no—
424C2×C4⋊Q8—31no—
425C2×#126—31no—
426C2×#126—31no—
427C2×#124—28no—
428C2×#124—31no—
429C2×#124—31no—
430C2×#124C2×D311yescharacteristic
431C2×#124C2×D311yescharacteristic
432C2×#124C2×D311yescharacteristic
433C2×#124C2×D311yescharacteristic
434C2×#124C2×D311yescharacteristic
435C2×#124C2×D311yescharacteristic
436C2×#124C2×D311yescharacteristic
437C2×#124C2×D311yescharacteristic
438C2×#123—31no—
439C2×#123—31no—
440C2×#123—31no—
441C2×C22⋊Q8—31no—
442C2×C22⋊Q8—31no—
443C2×C22⋊Q8—31no—
444C2×C22⋊Q8—31no—
445C2×C22⋊Q8—31no—
446C2×C22⋊Q8—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#120—31no—
450C2×#120—31no—
451C2×C4×Q8—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×#117—31no—
455C22×C22⋊C4—31no—
456C22×C22⋊C4—31no—
457C22×C22⋊C4C2×D311yescharacteristic
458C22×C22⋊C4C2×D311yescharacteristic
459C22×C22⋊C4C2×D311yescharacteristic
460C22×C22⋊C4C2×D311yescharacteristic
461C22×C42C2×D311yescharacteristic
462#399—31no—
463#399—31no—
464#399—31no—
465#397—31no—
466#397—31no—
467#397—31no—
468#397—31no—
469#397—31no—
470#397—31no—
471#396—31no—
472#396—31no—
473#396—31no—
474#396—31no—
475#396—31no—
476#395—31no—
477#395—31no—
478#395—31no—
479#395—31no—
480#395—31no—
481#395—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#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#393—31no—
495#393—31no—
496#393—31no—
497#393—31no—
498#393—31no—
499#393—31no—
500#392—31no—
501#392—31no—
502#391—31no—
503#391—31no—
504#391—31no—
505#391—31no—
506#391—31no—
507#390—31no—
508#390—31no—
509#390—31no—
510#389—31no—
511#388—31no—
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#388—31no—
517#388—31no—
518#388—31no—
519#388—31no—
520#388—31no—
521#388—31no—
522#388—31no—
523#388—31no—
524#388—31no—
525#388—31no—
526#388—31no—
527#388—31no—
528#388—31no—
529#387—31no—
530#387—31no—
531#387—31no—
532#387—31no—
533#387—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#385—31no—
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#385—31no—
553#385—31no—
554#385—31no—
555#385—31no—
556#385—31no—
557#385—31no—
558#383—31no—
559#381—31no—
560#380—31no—
561#380—31no—
562#380—31no—
563#380—31no—
564#380—31no—
565#379—31no—
566#379—31no—
567#379—31no—
568#379—31no—
569C4×C4⋊C4—31no—
570C4×C4⋊C4—31no—
571C4×C4⋊C4—31no—
572C4×C22⋊C4—31no—
573C4×C22⋊C4—31no—
574C4×C22⋊C4—31no—
575C4×C22⋊C4—31no—
576C4×C22⋊C4—31no—
577C24×C3—22no—
578C24×C3—22no—
579C24×C3—22no—
580C24×C3—22no—
581C24×C3—22no—
582C24×C3—22no—
583C24×C3—22no—
584C24×C3—22no—
585C24×C3—41no—
586C24×C3—41no—
587C24×C3—41no—
588C24×C3—41no—
589C24×C3—41no—
590C24×C3—41no—
591C24×C3C2411yescharacteristic
592C24×C3C2411yescharacteristic
593C24×C3C2411yescharacteristic
594C24×C3C2411yescharacteristic
595C24×C3C2411yescharacteristic
596C23×D3C2411yescharacteristic
597C2×C3×Q8—22no—
598C2×C3×Q8—22no—
599C2×C3×Q8—22no—
600C2×C3×Q8—22no—
601C2×C3×Q8—22no—
602C2×C3×Q8—41no—
603C2×C3×Q8—41no—
604C2×C3×Q8—41no—
605C2×C3×Q8—41no—
606C2×C3×Q8—41no—
607C2×C3×Q8—41no—
608C2×C3×Q8—416no—
609C2×C3×Q8C2×D414yes—
610C2×C3×D4—22no—
611C2×C3×D4—22no—
612C2×C3×D4—22no—
613C2×C3×D4—22no—
614C2×C3×D4—22no—
615C2×C3×D4—41no—
616C2×C3×D4—41no—
617C2×C3×D4—41no—
618C2×C3×D4—41no—
619C2×C3×D4—41no—
620C2×C3×D4—41no—
621C2×C3×D4—416no—
622C2×C3×D4C2×D414yes—
623C22×C3×C4—22no—
624C22×C3×C4—22no—
625C22×C3×C4—22no—
626C22×C3×C4—22no—
627C22×C3×C4—22no—
628C22×C3×C4—22no—
629C22×C3×C4—22no—
630C22×C3×C4—22no—
631C22×C3×C4—22no—
632C22×C3×C4—22no—
633C22×C3×C4—22no—
634C22×C3×C4—41no—
635C22×C3×C4—41no—
636C22×C3×C4—41no—
637C22×C3×C4—41no—
638C22×C3×C4C2411yescharacteristic
639C22×C3×C4C2411yescharacteristic
640C22×C3×C4C2411yescharacteristic
641C22×C3×C4C2411yescharacteristic
642C22×C3×C4C2411yescharacteristic
643C22×C3×C4C2411yescharacteristic
644C22×C3×C4C2411yescharacteristic
645C22×C3×C4C2411yescharacteristic
646C22×C3×C4C2411yescharacteristic
647C22×C3×C4C2411yescharacteristic
648C2×#67—22no—
649C2×#67—22no—
650C2×#67—22no—
651C2×#67—22no—
652C2×#67—22no—
653C2×#67—22no—
654C2×#67—22no—
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—41no—
668C22×Dic3—41no—
669C22×Dic3—41no—
670C22×Dic3—41no—
671C22×Dic3—41no—
672C22×Dic3—41no—
673C22×Dic3—41no—
674C22×Dic3—41no—
675C22×Dic3C2411yescharacteristic
676C22×Dic3C2411yescharacteristic
677C22×Dic3C2411yescharacteristic
678C22×Dic3C2411yescharacteristic
679C22×Dic3C2411yescharacteristic
680C22×Dic3C2411yescharacteristic
681C22×Dic3C2411yescharacteristic
682C22×Dic3C2411yescharacteristic
683C22×Dic3C2411yescharacteristic
684C22×Dic3C2411yescharacteristic
685C22×Dic3C2411yescharacteristic
686C22×Dic3C2411yescharacteristic
687C22×Dic3C2411yescharacteristic
688C22×Dic3C2411yescharacteristic
689C22×Dic3C2411yescharacteristic
690C2×C4×D3—22no—
691C2×C4×D3—41no—
692C2×C4×D3—41no—
693C2×Dic6—22no—
694C2×Dic6—22no—
695C2×Dic6—22no—
696C2×Dic6—41no—
697C2×Dic6—41no—
698C2×Dic6—41no—
699C3×C22⋊C4—22no—
700C3×C22⋊C4—22no—
701C3×C22⋊C4—22no—
702C3×C22⋊C4—22no—
703C3×C22⋊C4—22no—
704C3×C22⋊C4—22no—
705C3×C22⋊C4—22no—
706C3×C22⋊C4—22no—
707C3×C22⋊C4—22no—
708C3×C22⋊C4—22no—
709C3×C22⋊C4—22no—
710C3×C22⋊C4—22no—
711C3×C22⋊C4C2×D414yes—
712C3×C22⋊C4C2×D414yes—
713C3×C22⋊C4C2×D414yes—
714C3×C22⋊C4C2×D414yes—
715C3×C42—22no—
716C3×C42—22no—
717C3×C42—22no—
718C3×C42C2×D414yes—
719#217—22no—
720#217—22no—
721#217—22no—
722#217—22no—
723#217—22no—
724#217—22no—
725#217—22no—
726#217—22no—
727#217—22no—
728#217—22no—
729#217—22no—
730#217—22no—
731#217—22no—
732#217—22no—
733#217—41no—
734#217—41no—
735#217—41no—
736#217—41no—
737#217—41no—
738#217—41no—
739#217—41no—
740#217—41no—
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#4114yes—
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—41no—
756(C2×D3)⋊C4—41no—
757(C2×D3)⋊C4—41no—
758(C2×D3)⋊C4—41no—
759C4⋊Dic3—22no—
760C4⋊Dic3—22no—
761C4⋊Dic3—22no—
762C4⋊Dic3—41no—
763C4⋊Dic3—41no—
764C4⋊Dic3—41no—
765Dic3⋊C4—22no—
766Dic3⋊C4—22no—
767Dic3⋊C4—22no—
768Dic3⋊C4—22no—
769Dic3⋊C4—22no—
770Dic3⋊C4—22no—
771Dic3⋊C4—22no—
772Dic3⋊C4—22no—
773Dic3⋊C4—22no—
774Dic3⋊C4—22no—
775Dic3⋊C4—22no—
776Dic3⋊C4—22no—
777Dic3⋊C4—22no—
778Dic3⋊C4—41no—
779Dic3⋊C4—41no—
780Dic3⋊C4—41no—
781Dic3⋊C4—41no—
782Dic3⋊C4—41no—
783Dic3⋊C4—41no—
784Dic3⋊C4—41no—
785Dic3⋊C4—41no—
786C4×Dic3—22no—
787C4×Dic3—22no—
788C4×Dic3—22no—
789C4×Dic3—41no—
790C4×Dic3—41no—
791C4×Dic3—41no—
792C4×Dic3—41no—
793C25C22×D311yescharacteristic
794C25C22×D311yescharacteristic
795C22×Q8—24no—
796C22×Q8—31no—
797C22×Q8—31no—
798C22×Q8—42no—
799C22×Q8—42no—
800C22×Q8C22×D311yescharacteristic
801C22×Q8C22×D311yescharacteristic
802C22×Q8C22×D311yescharacteristic
803C22×Q8C22×D311yescharacteristic
804C22×D4—24no—
805C22×D4—31no—
806C22×D4—31no—
807C22×D4—31no—
808C22×D4—31no—
809C22×D4—31no—
810C22×D4—42no—
811C22×D4—42no—
812C22×D4C22×D311yescharacteristic
813C22×D4C22×D311yescharacteristic
814C22×D4C22×D311yescharacteristic
815C22×D4C22×D311yescharacteristic
816C23×C4—31no—
817C23×C4—31no—
818C23×C4—31no—
819C23×C4—31no—
820C23×C4—31no—
821C23×C4C22×D311yescharacteristic
822C23×C4C22×D311yescharacteristic
823C23×C4C22×D311yescharacteristic
824C23×C4C22×D311yescharacteristic
825C23×C4C22×D311yescharacteristic
826C4⋊Q8—64no—
827C4⋊Q8—122no—
828#126—64no—
829#126—64no—
830#124—24no—
831#124—24no—
832#124—24no—
833#124—24no—
834#124—24no—
835#124—24no—
836#124—24no—
837#124—64no—
838#124—64no—
839#124#6718yescomplemented
840#123—64no—
841#123—64no—
842#123—122no—
843C22⋊Q8—64no—
844C22⋊Q8—64no—
845C22⋊Q8—64no—
846C22⋊Q8—64no—
847C22⋊Q8—122no—
848C22⋊Q8—122no—
849#121—64no—
850#121—122no—
851#120—64no—
852#120—122no—
853C4×Q8—64no—
854C4×D4—64no—
855C4×D4—122no—
856#117—64no—
857C2×C4⋊C4—31no—
858C2×C4⋊C4—31no—
859C2×C4⋊C4—31no—
860C2×C4⋊C4—31no—
861C2×C4⋊C4—31no—
862C2×C4⋊C4—31no—
863C2×C4⋊C4—31no—
864C2×C4⋊C4—31no—
865C2×C4⋊C4—31no—
866C2×C4⋊C4—31no—
867C2×C4⋊C4—31no—
868C2×C4⋊C4—31no—
869C2×C4⋊C4—31no—
870C2×C4⋊C4—31no—
871C2×C4⋊C4—31no—
872C2×C4⋊C4—31no—
873C2×C4⋊C4—31no—
874C2×C4⋊C4—31no—
875C2×C4⋊C4—31no—
876C2×C4⋊C4—31no—
877C2×C4⋊C4—31no—
878C2×C4⋊C4—31no—
879C2×C4⋊C4—31no—
880C2×C4⋊C4—31no—
881C2×C4⋊C4—31no—
882C2×C4⋊C4—31no—
883C2×C4⋊C4—31no—
884C2×C22⋊C4—24no—
885C2×C22⋊C4—24no—
886C2×C22⋊C4—24no—
887C2×C22⋊C4—24no—
888C2×C22⋊C4—31no—
889C2×C22⋊C4—31no—
890C2×C22⋊C4—31no—
891C2×C22⋊C4—31no—
892C2×C22⋊C4—31no—
893C2×C22⋊C4—31no—
894C2×C22⋊C4—31no—
895C2×C22⋊C4—31no—
896C2×C22⋊C4—31no—
897C2×C22⋊C4—31no—
898C2×C22⋊C4—31no—
899C2×C22⋊C4—31no—
900C2×C22⋊C4—31no—
901C2×C22⋊C4—31no—
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—31no—
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—31no—
915C2×C22⋊C4—31no—
916C2×C22⋊C4—31no—
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—64no—
929C2×C22⋊C4—122no—
930C2×C22⋊C4C22×D311yescharacteristic
931C2×C22⋊C4C22×D311yescharacteristic
932C2×C22⋊C4C22×D311yescharacteristic
933C2×C22⋊C4C22×D311yescharacteristic
934C2×C22⋊C4C22×D311yescharacteristic
935C2×C22⋊C4C22×D311yescharacteristic
936C2×C22⋊C4C22×D311yescharacteristic
937C2×C22⋊C4C22×D311yescharacteristic
938C2×C22⋊C4C22×D311yescharacteristic
939C2×C22⋊C4C22×D311yescharacteristic
940C2×C22⋊C4C22×D311yescharacteristic
941C2×C22⋊C4C22×D311yescharacteristic
942C2×C22⋊C4C22×D311yescharacteristic
943C2×C22⋊C4C22×D311yescharacteristic
944C2×C22⋊C4C22×D311yescharacteristic
945C2×C22⋊C4C22×D311yescharacteristic
946C2×C42—24no—
947C2×C42—31no—
948C2×C42—31no—
949C2×C42—31no—
950C2×C42—31no—
951C2×C42—31no—
952C2×C42—31no—
953C2×C42—31no—
954C2×C42C22×D311yescharacteristic
955C2×C42C22×D311yescharacteristic
956C2×C42C22×D311yescharacteristic
957C2×C42C22×D311yescharacteristic
958#95—31no—
959#95—31no—
960#95—31no—
961#95—31no—
962#95—31no—
963#95—31no—
964#95—31no—
965#95—31no—
966#95—31no—
967#95—31no—
968#95—31no—
969#95—31no—
970#95—31no—
971#95—31no—
972#95—31no—
973#95—31no—
974#95—31no—
975#95—31no—
976#95—31no—
977#95—31no—
978#95—31no—
979#95—31no—
980#95—31no—
981#95—31no—
982#95—31no—
983#95—31no—
984#95—31no—
985#95—31no—
986#95—31no—
987#95—31no—
988#95—31no—
989#95—31no—
990#95—31no—
991#95—31no—
992C23×C3—21no—
993C23×C3—21no—
994C23×C3—21no—
995C23×C3—21no—
996C23×C3—21no—
997C23×C3—21no—
998C23×C3—21no—
999C23×C3—21no—
1000C23×C3—21no—
1001C23×C3—21no—
1002C23×C3—21no—
1003C23×C3—21no—
1004C23×C3—21no—
1005C23×C3—21no—
1006C23×C3—21no—
1007C23×C3—21no—
1008C23×C3—21no—
1009C23×C3—21no—
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—44no—
1023C23×C3—44no—
1024C23×C3—44no—
1025C23×C3—44no—
1026C23×C3—44no—
1027C23×C3—44no—
1028C23×C3—44no—
1029C23×C3—44no—
1030C23×C3—82no—
1031C23×C3—82no—
1032C23×C3—82no—
1033C23×C3—82no—
1034C23×C3—82no—
1035C23×C3—82no—
1036C23×C3C22×D412yes—
1037C23×C3C22×D412yes—
1038C23×C3C2×#4112yes—
1039C23×C3H(5,𝔽2)12yes—
1040C23×C32−1+412yes—
1041C23×C3C2511yescharacteristic
1042C22×D3—21no—
1043C22×D3—21no—
1044C22×D3—21no—
1045C22×D3—21no—
1046C22×D3—21no—
1047C22×D3—21no—
1048C22×D3—21no—
1049C3×Q8—44no—
1050C3×Q8—44no—
1051C3×Q8—44no—
1052C3×Q8—44no—
1053C3×D4—44no—
1054C3×D4—44no—
1055C3×D4—44no—
1056C3×D4—44no—
1057C2×C3×C4—28no—
1058C2×C3×C4—21no—
1059C2×C3×C4—21no—
1060C2×C3×C4—21no—
1061C2×C3×C4—21no—
1062C2×C3×C4—21no—
1063C2×C3×C4—21no—
1064C2×C3×C4—21no—
1065C2×C3×C4—21no—
1066C2×C3×C4—21no—
1067C2×C3×C4—21no—
1068C2×C3×C4—21no—
1069C2×C3×C4—21no—
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—44no—
1083C2×C3×C4—44no—
1084C2×C3×C4—44no—
1085C2×C3×C4—44no—
1086C2×C3×C4C22×D412yes—
1087C2×C3×C4C22×D412yes—
1088C2×C3×C4C22×D412yes—
1089C2×C3×C4C22×D412yes—
1090C2×C3×C4C22×D412yes—
1091C2×C3×C4H(5,𝔽2)12yes—
1092#67—44no—
1093#67—44no—
1094#67—82no—
1095#67—82no—
1096#67—82no—
1097C2×Dic3—21no—
1098C2×Dic3—21no—
1099C2×Dic3—21no—
1100C2×Dic3—21no—
1101C2×Dic3—21no—
1102C2×Dic3—21no—
1103C2×Dic3—21no—
1104C2×Dic3—21no—
1105C2×Dic3—21no—
1106C2×Dic3—21no—
1107C2×Dic3—21no—
1108C2×Dic3—21no—
1109C2×Dic3—21no—
1110C2×Dic3—21no—
1111C2×Dic3—21no—
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—44no—
1141C2×Dic3—82no—
1142C2×Dic3—82no—
1143C2×Dic3—82no—
1144C2×Dic3C2×#4112yes—
1145C2×Dic3C2×#4112yes—
1146C4×D3—82no—
1147Dic6—44no—
1148Dic6—82no—
1149C24—22no—
1150C24—22no—
1151C24—22no—
1152C24—22no—
1153C24—22no—
1154C24—22no—
1155C24—22no—
1156C24—22no—
1157C24—31no—
1158C24—41no—
1159C24—41no—
1160C24—41no—
1161C24—41no—
1162C24—41no—
1163C24—41no—
1164C24C23×D311yescharacteristic
1165C24C23×D311yescharacteristic
1166C24C23×D311yescharacteristic
1167C24C23×D311yescharacteristic
1168C24C23×D311yescharacteristic
1169C2×Q8—22no—
1170C2×Q8—22no—
1171C2×Q8—22no—
1172C2×Q8—22no—
1173C2×Q8—22no—
1174C2×Q8—41no—
1175C2×Q8—41no—
1176C2×Q8—41no—
1177C2×Q8—41no—
1178C2×Q8—41no—
1179C2×Q8—41no—
1180C2×Q8—416no—
1181C2×Q8—62no—
1182C2×Q8—62no—
1183C2×Q8—62no—
1184C2×Q8—121no—
1185C2×Q8—121no—
1186C2×Q8—121no—
1187C2×Q8C2×#6714yes—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—416no—
1200C2×D4—62no—
1201C2×D4—62no—
1202C2×D4—62no—
1203C2×D4—62no—
1204C2×D4—62no—
1205C2×D4—62no—
1206C2×D4—62no—
1207C2×D4—121no—
1208C2×D4—121no—
1209C2×D4—121no—
1210C2×D4—121no—
1211C2×D4—121no—
1212C2×D4—121no—
1213C2×D4—121no—
1214C2×D4—121no—
1215C2×D4C2×#6714yes—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—31no—
1228C22×C4—31no—
1229C22×C4—31no—
1230C22×C4—31no—
1231C22×C4—31no—
1232C22×C4—31no—
1233C22×C4—31no—
1234C22×C4—31no—
1235C22×C4—31no—
1236C22×C4—31no—
1237C22×C4—31no—
1238C22×C4—31no—
1239C22×C4—31no—
1240C22×C4—31no—
1241C22×C4—31no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—62no—
1247C22×C4—62no—
1248C22×C4—62no—
1249C22×C4—62no—
1250C22×C4—62no—
1251C22×C4—121no—
1252C22×C4—121no—
1253C22×C4—121no—
1254C22×C4—121no—
1255C22×C4—121no—
1256C22×C4—121no—
1257C22×C4—121no—
1258C22×C4—121no—
1259C22×C4—121no—
1260C22×C4—121no—
1261C22×C4C23×D311yescharacteristic
1262C22×C4C23×D311yescharacteristic
1263C22×C4C23×D311yescharacteristic
1264C22×C4C23×D311yescharacteristic
1265C22×C4C23×D311yescharacteristic
1266C22×C4C23×D311yescharacteristic
1267C22×C4C23×D311yescharacteristic
1268C22×C4C23×D311yescharacteristic
1269C22×C4C23×D311yescharacteristic
1270C22×C4C23×D311yescharacteristic
1271C4⋊C4—62no—
1272C4⋊C4—62no—
1273C4⋊C4—62no—
1274C4⋊C4—62no—
1275C4⋊C4—62no—
1276C4⋊C4—62no—
1277C4⋊C4—62no—
1278C4⋊C4—62no—
1279C4⋊C4—62no—
1280C4⋊C4—62no—
1281C4⋊C4—62no—
1282C4⋊C4—62no—
1283C4⋊C4—62no—
1284C4⋊C4—62no—
1285C4⋊C4—62no—
1286C4⋊C4—62no—
1287C4⋊C4—121no—
1288C4⋊C4—121no—
1289C4⋊C4—121no—
1290C4⋊C4—121no—
1291C4⋊C4—121no—
1292C4⋊C4—121no—
1293C4⋊C4—121no—
1294C4⋊C4—121no—
1295C4⋊C4—121no—
1296C4⋊C4—121no—
1297C4⋊C4—121no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—22no—
1306C22⋊C4—22no—
1307C22⋊C4—22no—
1308C22⋊C4—22no—
1309C22⋊C4—22no—
1310C22⋊C4—34no—
1311C22⋊C4—62no—
1312C22⋊C4—62no—
1313C22⋊C4—62no—
1314C22⋊C4—62no—
1315C22⋊C4—62no—
1316C22⋊C4—62no—
1317C22⋊C4—62no—
1318C22⋊C4—62no—
1319C22⋊C4—62no—
1320C22⋊C4—62no—
1321C22⋊C4—62no—
1322C22⋊C4—62no—
1323C22⋊C4—62no—
1324C22⋊C4—62no—
1325C22⋊C4—62no—
1326C22⋊C4—62no—
1327C22⋊C4—62no—
1328C22⋊C4—62no—
1329C22⋊C4—62no—
1330C22⋊C4—121no—
1331C22⋊C4—121no—
1332C22⋊C4—121no—
1333C22⋊C4—121no—
1334C22⋊C4—121no—
1335C22⋊C4—121no—
1336C22⋊C4—121no—
1337C22⋊C4—121no—
1338C22⋊C4—121no—
1339C22⋊C4—121no—
1340C22⋊C4—121no—
1341C22⋊C4—121no—
1342C22⋊C4—121no—
1343C22⋊C4—121no—
1344C22⋊C4—121no—
1345C22⋊C4—121no—
1346C22⋊C4—121no—
1347C22⋊C4—121no—
1348C22⋊C4—121no—
1349C22⋊C4—121no—
1350C22⋊C4C2×#6714yes—
1351C22⋊C4C2×#6714yes—
1352C22⋊C4C2×#6714yes—
1353C22⋊C4C2×#6714yes—
1354C42—22no—
1355C42—22no—
1356C42—22no—
1357C42—62no—
1358C42—62no—
1359C42—62no—
1360C42—121no—
1361C42—121no—
1362C42—121no—
1363C42—121no—
1364C42C2×#6714yes—
1365C22×C3—22no—
1366C22×C3—22no—
1367C22×C3—22no—
1368C22×C3—22no—
1369C22×C3—22no—
1370C22×C3—22no—
1371C22×C3—22no—
1372C22×C3—22no—
1373C22×C3—22no—
1374C22×C3—22no—
1375C22×C3—22no—
1376C22×C3—22no—
1377C22×C3—41no—
1378C22×C3—41no—
1379C22×C3—41no—
1380C22×C3—41no—
1381C22×C3—41no—
1382C22×C3—41no—
1383C22×C3—41no—
1384C22×C3—41no—
1385C22×C3—41no—
1386C22×C3—41no—
1387C22×C3—41no—
1388C22×C3—41no—
1389C22×C3—41no—
1390C22×C3—41no—
1391C22×C3—41no—
1392C22×C3—41no—
1393C22×C3—41no—
1394C22×C3—41no—
1395C22×C3—41no—
1396C22×C3—41no—
1397C22×C3—41no—
1398C22×C3—41no—
1399C22×C3—88no—
1400C22×C3—88no—
1401C22×C3#54214yescomplemented
1402C22×C3C23×D411yescharacteristic
1403C22×C3C22×#4111yescharacteristic
1404C22×C3C2×H(5,𝔽2)11yescharacteristic
1405C22×C3C2×H(5,𝔽2)11yescharacteristic
1406C22×C3C2×2−1+411yescharacteristic
1407C22×C3#58511yescharacteristic
1408C22×C3#58511yescharacteristic
1409C2×D3—41no—
1410C2×D3—41no—
1411C2×D3—41no—
1412C2×D3—41no—
1413C2×D3—41no—
1414C2×D3—41no—
1415C2×D3—41no—
1416C3×C4—22no—
1417C3×C4—22no—
1418C3×C4—22no—
1419C3×C4—22no—
1420C3×C4—22no—
1421C3×C4—22no—
1422C3×C4—41no—
1423C3×C4—41no—
1424C3×C4—41no—
1425C3×C4—41no—
1426Dic3—22no—
1427Dic3—22no—
1428Dic3—41no—
1429Dic3—41no—
1430Dic3—41no—
1431Dic3—41no—
1432Dic3—41no—
1433Dic3—41no—
1434Dic3—41no—
1435Dic3—41no—
1436Dic3—41no—
1437Dic3—41no—
1438Dic3—41no—
1439Dic3—41no—
1440Dic3—41no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—44no—
1472C23—44no—
1473C23—44no—
1474C23—44no—
1475C23—44no—
1476C23—44no—
1477C23—44no—
1478C23—44no—
1479C23—61no—
1480C23—61no—
1481C23—61no—
1482C23—61no—
1483C23—61no—
1484C23—61no—
1485C23—61no—
1486C23—82no—
1487C23—82no—
1488C23—82no—
1489C23—82no—
1490C23—82no—
1491C23—82no—
1492C23#100412yes—
1493C23D3×#4112yes—
1494C23#101012yes—
1495C23C22×#6712yes—
1496C23C22×#6712yes—
1497C23C24×D311yescharacteristic
1498Q8—44no—
1499Q8—44no—
1500Q8—44no—
1501Q8—44no—
1502Q8—124no—
1503Q8—242no—
1504D4—44no—
1505D4—44no—
1506D4—44no—
1507D4—44no—
1508D4—124no—
1509D4—124no—
1510D4—242no—
1511D4—242no—
1512D4—242no—
1513C2×C4—28no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—32no—
1539C2×C4—32no—
1540C2×C4—44no—
1541C2×C4—44no—
1542C2×C4—44no—
1543C2×C4—44no—
1544C2×C4—61no—
1545C2×C4—61no—
1546C2×C4—61no—
1547C2×C4—61no—
1548C2×C4—61no—
1549C2×C4—61no—
1550C2×C4—61no—
1551C2×C4—61no—
1552C2×C4—61no—
1553C2×C4—61no—
1554C2×C4—61no—
1555C2×C4—61no—
1556C2×C4—61no—
1557C2×C4—61no—
1558C2×C4—61no—
1559C2×C4—61no—
1560C2×C4—61no—
1561C2×C4—61no—
1562C2×C4—61no—
1563C2×C4—61no—
1564C2×C4—61no—
1565C2×C4—61no—
1566C2×C4—61no—
1567C2×C4—61no—
1568C2×C4—61no—
1569C2×C4—61no—
1570C2×C4—61no—
1571C2×C4—61no—
1572C2×C4—61no—
1573C2×C4—61no—
1574C2×C4—61no—
1575C2×C4—61no—
1576C2×C4—61no—
1577C2×C4—61no—
1578C2×C4—61no—
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—124no—
1588C2×C4—242no—
1589C2×C4—242no—
1590C2×C4—242no—
1591C2×C4—242no—
1592C2×C4#100412yes—
1593C2×C4C22×#6712yes—
1594C2×C4C22×#6712yes—
1595C2×C4C22×#6712yes—
1596C2×C4C22×#6712yes—
1597C2×C4C22×#6712yes—
1598C2×C3—24no—
1599C2×C3—42no—
1600C2×C3—42no—
1601C2×C3—81no—
1602C2×C3—81no—
1603C2×C3C2×#54211yescharacteristic
1604C2×C3D4×#4111yescharacteristic
1605C2×C3#348411yescharacteristic
1606C2×C3#348911yescharacteristic
1607C2×C3#351411yescharacteristic
1608C2×C3#354511yescharacteristic
1609C2×C3#356111yescharacteristic
1610D3—81no—
1611C22—22no—
1612C22—22no—
1613C22—22no—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—88no—
1646C22—88no—
1647C22—121no—
1648C22—121no—
1649C22—121no—
1650C22—121no—
1651C22—121no—
1652C22—121no—
1653C22—121no—
1654C22#566914yescomplemented
1655C22C2×#100411yescharacteristic
1656C22C2×#100411yescharacteristic
1657C22C2×D3×#4111yescharacteristic
1658C22C2×#101011yescharacteristic
1659C22#596411yescharacteristic
1660C22#596411yescharacteristic
1661C22C23×#6711yescharacteristic
1662C4—22no—
1663C4—22no—
1664C4—22no—
1665C4—22no—
1666C4—22no—
1667C4—22no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—62no—
1673C4—62no—
1674C4—121no—
1675C4—121no—
1676C4—121no—
1677C4—121no—
1678C4—121no—
1679C4—121no—
1680C4—121no—
1681C4—121no—
1682C4—121no—
1683C4—121no—
1684C4—121no—
1685C4—121no—
1686C4—121no—
1687C3#3771811yescharacteristic, complemented, Sylow
1688C2—24no—
1689C2—42no—
1690C2—42no—
1691C2—81no—
1692C2—81no—
1693C2—241no—
1694C2C2×#566911yescharacteristic
1695C2#8607711yescharacteristic
1696C2#8607911yescharacteristic
1697C2#8608111yescharacteristic
1698C2#8723911yescharacteristic
1699C2#8726411yescharacteristic
1700C2#41×#6711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC22×C3×#124C2
prime radical#84048C2
hypercenterC22×#124D3
hypocenterC3#37718
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C22×#124

Complements

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

NH ≅ G/Ntype
1. C22×C3×#124C2semidirect
2. C2×#5669C2semidirect
3. #84068C2semidirect
4. #84065C2semidirect
6. #84047C2semidirect
7. #83006C2semidirect
8. #83004C2semidirect
9. #82990C2semidirect
10. #82989C2semidirect
11. #82987C2semidirect
12. #82985C2semidirect
13. #82984C2semidirect
14. #82982C2semidirect
15. #82981C2semidirect
16. #82977C2semidirect
17. #82968C2semidirect
18. #82967C2semidirect
19. #82966C2semidirect
20. #82964C2semidirect
21. #82954C2semidirect
22. #82128C2semidirect
23. #82112C2semidirect
24. #82111C2semidirect
25. #82111C2semidirect
26. #82110C2semidirect
27. #82110C2semidirect
28. #82099C2semidirect
29. #82098C2semidirect
30. #82078C2semidirect
31. C4×#924C2semidirect
53. C2×#946C22semidirect
54. C2×#946C22semidirect
55. C2×#944C22semidirect
56. C2×#944C22semidirect
65. C2×#885C22semidirect
66. C2×#885C22semidirect
67. C2×#883C22semidirect
68. C2×#67⋊C4C22semidirect
69. C2×#879C22semidirect
70. C2×#878C22semidirect
71. C2×#878C22semidirect
72. C2×#877C22semidirect
73. C2×#876C22semidirect
74. C2×C4×Dic6C22semidirect
79. #5231C22semidirect
80. #5231C22semidirect
81. #5230C22semidirect
82. #5230C22semidirect
83. #5230C22semidirect
84. #5230C22semidirect
85. #5230C22semidirect
86. #5230C22semidirect
87. #5229C22semidirect
88. #5229C22semidirect
89. #5229C22semidirect
90. #5229C22semidirect
120. #4961C22semidirect
121. #4961C22semidirect
122. #4961C22semidirect
123. #4959C22semidirect
124. #4959C22semidirect
125. #4959C22semidirect
126. #4958C22semidirect
127. #4957C22semidirect
128. #4957C22semidirect
129. #4957C22semidirect
130. #4956C22semidirect
131. #4956C22semidirect
132. #4953C22semidirect
133. #4952C22semidirect
134. #4952C22semidirect
135. #4952C22semidirect
136. #4952C22semidirect
137. #4952C22semidirect
138. #4951C22semidirect
139. #4951C22semidirect
140. #4951C22semidirect
141. #4951C22semidirect
142. #4950C22semidirect
143. #4950C22semidirect
144. #4949C22semidirect
145. #4949C22semidirect
146. #4949C22semidirect
147. #4948C22semidirect
148. #4948C22semidirect
149. #4948C22semidirect
150. #4948C22semidirect
151. #4948C22semidirect
152. #4947C22semidirect
153. #4947C22semidirect
154. #4947C22semidirect
155. #4947C22semidirect
156. #4946C22semidirect
157. #4946C22semidirect
158. #4946C22semidirect
159. #4945C22semidirect
160. #4945C22semidirect
161. #4945C22semidirect
162. #4945C22semidirect
163. #4945C22semidirect
164. #4944C22semidirect
165. #4944C22semidirect
166. #4944C22semidirect
167. #4944C22semidirect
168. #4944C22semidirect
169. #4944C22semidirect
170. #4943C22semidirect
171. #4942C22semidirect
172. #4942C22semidirect
173. #4942C22semidirect
174. Dic3×C22⋊C4C22semidirect
175. Dic3×C22⋊C4C22semidirect
176. #4940C22semidirect
177. #4940C22semidirect
178. #4940C22semidirect
179. #4937C22semidirect
180. C4×C4⋊Dic3C22semidirect
181. #4933C22semidirect
182. #4933C22semidirect
183. #4933C22semidirect
184. #4933C22semidirect
185. #4933C22semidirect
186. C4×Dic3⋊C4C22semidirect
187. C4×Dic3⋊C4C22semidirect
188. #4929C22semidirect
189. #4928C22semidirect
191. C22×#124D3semidirect
261. C3×#124D4semidirect
839. #124#67semidirect
1401. C22×C3#542semidirect
1654. C22#5669semidirect
1687. C3#37718semidirect

Maximal subgroups

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

subgroupindex
C22×C3×#1242
C2×#56692
#840682
#840652
#840482
#840472
#830062
#830042
#829902
#829892
#829872
#829852
#829842
#829822
#829812
#829772
#829682
#829672
#829662
#829642
#829542
#821282
#821122
#821112
#821102
#820992
#820982
#820782
C4×#9242
#377183