Finite Group Databasebeta

← #11028874

Subgroups — #11028874

Order 768.

3284 conjugacy classes of subgroups.

The subgroup lattice has 1842 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#379C211yesmaximal, characteristic, complemented
2#84128C211yesmaximal, characteristic
3C2×#5247C211yesmaximal, characteristic, complemented
4#82129C211yesmaximal, characteristic, complemented
5#82128C211yesmaximal, characteristic, complemented
6#82116C211yesmaximal, characteristic, complemented
7#82113C211yesmaximal, characteristic, complemented
8#82112C211yesmaximal, characteristic, complemented
9#82112C211yesmaximal, characteristic, complemented
10#82111C211yesmaximal, characteristic, complemented
11#82110C211yesmaximal, characteristic, complemented
12#82107C211yesmaximal, characteristic, complemented
13#82106C211yesmaximal, characteristic, complemented
14#82099C211yesmaximal, characteristic, complemented
15#82097C211yesmaximal, characteristic, complemented
16#73859C211yesmaximal, characteristic, complemented
17#73856C211yesmaximal, characteristic, complemented
18#73843C211yesmaximal, characteristic, complemented
19#73842C211yesmaximal, characteristic, complemented
20#73841C211yesmaximal, characteristic, complemented
21#73841C211yesmaximal, characteristic, complemented
22#73840C211yesmaximal, characteristic, complemented
23#73839C211yesmaximal, characteristic, complemented
24#73838C211yesmaximal, characteristic, complemented
25#73836C211yesmaximal, characteristic, complemented
26#73831C211yesmaximal, characteristic, complemented
27#73830C211yesmaximal, characteristic, complemented
28#73829C211yesmaximal, characteristic, complemented
29#73826C211yesmaximal, characteristic, complemented
30#73821C211yesmaximal, characteristic, complemented
31#73820C211yesmaximal, characteristic, complemented
32#37848—31nomaximal, Sylow
33C26×C3C2211yescharacteristic
34C22×C3×C22⋊C4C2211yescharacteristic
35C22×C3×C22⋊C4C2211yescharacteristic
36C22×C3×C22⋊C4C2211yescharacteristic
37C22×C3×C22⋊C4C2211yescharacteristic
38C22×C3×C22⋊C4C2211yescharacteristic
39C22×C3×C22⋊C4C2211yescharacteristic
40C2×#953C2211yescharacteristic
41C2×#953C2211yescharacteristic
42C2×#953C2211yescharacteristic
43C2×#953C2211yescharacteristic
44C2×#953C2211yescharacteristic
45C2×#953C2211yescharacteristic
46C2×#953C2211yescharacteristic
47C22×#217C2211yescharacteristic
48C22×#217C2211yescharacteristic
49C22×#217C2211yescharacteristic
50C22×#217C2211yescharacteristic
51C22×#217C2211yescharacteristic
52C22×#217C2211yescharacteristic
53C2×#929C2211yescharacteristic, complemented
54C2×C4×#67C2211yescharacteristic, complemented
55C2×#926C2211yescharacteristic, complemented
56C2×#924C2211yescharacteristic, complemented
57C2×#885C2211yescharacteristic, complemented
58C2×#883C2211yescharacteristic, complemented
59C2×#67⋊C4C2211yescharacteristic, complemented
60C2×#879C2211yescharacteristic, complemented
61C2×#879C2211yescharacteristic, complemented
62C2×#878C2211yescharacteristic, complemented
63C3×#379C2211yescharacteristic
64C3×#379C2211yescharacteristic
65C3×#379C2211yescharacteristic
66C3×#379C2211yescharacteristic
67C3×#379C2211yescharacteristic
68C3×#379C2211yescharacteristic
69C3×#379C2211yescharacteristic
70C3×#379C2211yescharacteristic
71#5247C2211yescharacteristic
72#5247C2211yescharacteristic
73#5247C2211yescharacteristic
74#5247C2211yescharacteristic
75#5247C2211yescharacteristic
76#5247C2211yescharacteristic
77#5247C2211yescharacteristic
78#5247C2211yescharacteristic
79#5247C2211yescharacteristic
80#5247C2211yescharacteristic
81#5247C2211yescharacteristic
82#5247C2211yescharacteristic
83#5247C2211yescharacteristic
84#5247C2211yescharacteristic
85#5247C2211yescharacteristic
86#5213C2211yescharacteristic, complemented
87#5213C2211yescharacteristic, complemented
88#5212C2211yescharacteristic, complemented
89#5212C2211yescharacteristic, complemented
90#5211C2211yescharacteristic, complemented
91#5211C2211yescharacteristic, complemented
92#5210C2211yescharacteristic, complemented
93#5210C2211yescharacteristic, complemented
94#5210C2211yescharacteristic, complemented
95#5210C2211yescharacteristic, complemented
96C4×#217C2211yescharacteristic, complemented
97C4×#217C2211yescharacteristic, complemented
98#4961C2211yescharacteristic, complemented
99#4961C2211yescharacteristic, complemented
100#4961C2211yescharacteristic, complemented
101#4961C2211yescharacteristic, complemented
102#4961C2211yescharacteristic, complemented
103#4961C2211yescharacteristic, complemented
104#4959C2211yescharacteristic, complemented
105#4959C2211yescharacteristic, complemented
106#4959C2211yescharacteristic, complemented
107#4959C2211yescharacteristic, complemented
108#4958C2211yescharacteristic, complemented
109#4958C2211yescharacteristic, complemented
110#4958C2211yescharacteristic, complemented
111#4957C2211yescharacteristic, complemented
112#4957C2211yescharacteristic, complemented
113#4957C2211yescharacteristic, complemented
114#4957C2211yescharacteristic, complemented
115#4956C2211yescharacteristic, complemented
116#4956C2211yescharacteristic, complemented
117#4956C2211yescharacteristic, complemented
118#4956C2211yescharacteristic, complemented
119#4953C2211yescharacteristic, complemented
120#4953C2211yescharacteristic, complemented
121#4953C2211yescharacteristic, complemented
122#4953C2211yescharacteristic, complemented
123#4953C2211yescharacteristic, complemented
124#4953C2211yescharacteristic, complemented
125#4952C2211yescharacteristic, complemented
126#4952C2211yescharacteristic, complemented
127#4952C2211yescharacteristic, complemented
128#4952C2211yescharacteristic, complemented
129#4952C2211yescharacteristic, complemented
130#4952C2211yescharacteristic, complemented
131#4952C2211yescharacteristic, complemented
132#4952C2211yescharacteristic, complemented
133#4951C2211yescharacteristic, complemented
134#4951C2211yescharacteristic, complemented
135#4951C2211yescharacteristic, complemented
136#4951C2211yescharacteristic, complemented
137#4951C2211yescharacteristic, complemented
138#4951C2211yescharacteristic, complemented
139#4951C2211yescharacteristic, complemented
140#4951C2211yescharacteristic, complemented
141#4950C2211yescharacteristic, complemented
142#4950C2211yescharacteristic, complemented
143#4950C2211yescharacteristic, complemented
144#4949C2211yescharacteristic, complemented
145#4949C2211yescharacteristic, complemented
146#4949C2211yescharacteristic, complemented
147#4949C2211yescharacteristic, complemented
148#4948C2211yescharacteristic, complemented
149#4948C2211yescharacteristic, complemented
150#4948C2211yescharacteristic, complemented
151#4948C2211yescharacteristic, complemented
152#4948C2211yescharacteristic, complemented
153#4948C2211yescharacteristic, complemented
154#4948C2211yescharacteristic, complemented
155#4948C2211yescharacteristic, complemented
156#4947C2211yescharacteristic, complemented
157#4947C2211yescharacteristic, complemented
158#4947C2211yescharacteristic, complemented
159#4947C2211yescharacteristic, complemented
160#4946C2211yescharacteristic, complemented
161#4946C2211yescharacteristic, complemented
162#4945C2211yescharacteristic, complemented
163#4945C2211yescharacteristic, complemented
164#4945C2211yescharacteristic, complemented
165#4945C2211yescharacteristic, complemented
166#4945C2211yescharacteristic, complemented
167#4945C2211yescharacteristic, complemented
168#4945C2211yescharacteristic, complemented
169#4945C2211yescharacteristic, complemented
170#4945C2211yescharacteristic, complemented
171#4945C2211yescharacteristic, complemented
172#4944C2211yescharacteristic, complemented
173#4944C2211yescharacteristic, complemented
174#4944C2211yescharacteristic, complemented
175#4944C2211yescharacteristic, complemented
176#4944C2211yescharacteristic, complemented
177#4944C2211yescharacteristic, complemented
178#4944C2211yescharacteristic, complemented
179#4944C2211yescharacteristic, complemented
180#4944C2211yescharacteristic, complemented
181#4944C2211yescharacteristic, complemented
182#4942C2211yescharacteristic, complemented
183#4942C2211yescharacteristic, complemented
184#4942C2211yescharacteristic, complemented
185Dic3×C22⋊C4C2211yescharacteristic, complemented
186Dic3×C22⋊C4C2211yescharacteristic, complemented
187Dic3×C22⋊C4C2211yescharacteristic, complemented
188#2846—31no—
189#2736—31no—
190#2735—31no—
191#2735—31no—
192#2735—31no—
193#2697—31no—
194#2685—31no—
195#2685—31no—
196#2684—31no—
197#2626—31no—
198#2622—31no—
199#2561—31no—
200#2534—31no—
201#2482—31no—
202#2480—31no—
203#2480—31no—
204#2480—31no—
205#2480—31no—
206#2472—31no—
207#2472—31no—
208#2437—31no—
209#2418—31no—
210#2418—31no—
211#2412—31no—
212#2411—31no—
213#2358—31no—
214#2342—31no—
215#2321—31no—
216#2312—31no—
217C2×#379—31no—
218C2×#379D311yescharacteristic, complemented
219C25×C3—24no—
220C25×C3—24no—
221C25×C3—42no—
222C25×C3—42no—
223C25×C3—42no—
224C25×C3—42no—
225C25×C3—42no—
226C25×C3C2311yescharacteristic
227C25×C3C2311yescharacteristic
228C25×C3C2311yescharacteristic
229C25×C3C2311yescharacteristic
230C25×C3C2311yescharacteristic
231C25×C3C2311yescharacteristic
232C25×C3C2311yescharacteristic
233C23×C3×C4C2311yescharacteristic
234C23×C3×C4C2311yescharacteristic
235C23×C3×C4C2311yescharacteristic
236C23×C3×C4C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C23×Dic3C2311yescharacteristic
245C23×Dic3C2311yescharacteristic
246C23×Dic3C2311yescharacteristic
247C23×Dic3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic, complemented
249C22×Dic6C2311yescharacteristic, complemented
250C2×C3×C22⋊C4—24no—
251C2×C3×C22⋊C4—42no—
252C2×C3×C22⋊C4—42no—
253C2×C3×C22⋊C4—42no—
254C2×C3×C22⋊C4—42no—
255C2×C3×C22⋊C4—42no—
256C2×C3×C22⋊C4C2311yescharacteristic
257C2×C3×C22⋊C4C2311yescharacteristic
258C2×C3×C22⋊C4C2311yescharacteristic
259C2×C3×C22⋊C4C2311yescharacteristic
260C2×C3×C22⋊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×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280#953—24no—
281#953—24no—
282#953—42no—
283#953—42no—
284#953—42no—
285#953—42no—
286#953—42no—
287C2×#217—24no—
288C2×#217—42no—
289C2×#217—42no—
290C2×#217—42no—
291C2×#217—42no—
292C2×#217—42no—
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
322C2×#217C2311yescharacteristic
323C2×#217C2311yescharacteristic
324C2×#217C2311yescharacteristic
325C2×#217C2311yescharacteristic
326C2×#217C2311yescharacteristic
327C2×#217C2311yescharacteristic
328C2×#217C2311yescharacteristic
329C2×#217C2311yescharacteristic
330C2×#217C2311yescharacteristic
331C2×#217C2311yescharacteristic
332C2×#217C2311yescharacteristic
333C2×#217C2311yescharacteristic
334C2×#217C2311yescharacteristic
335C2×#217C2311yescharacteristic
336C2×#217C2311yescharacteristic
337C2×#217C2311yescharacteristic
338#929—42no—
339C4×#67—42no—
340C2×(C2×D3)⋊C4C2311yescharacteristic, complemented
341C2×(C2×D3)⋊C4C2311yescharacteristic, complemented
342C2×(C2×D3)⋊C4C2311yescharacteristic, complemented
343C2×(C2×D3)⋊C4C2311yescharacteristic, complemented
344C2×(C2×D3)⋊C4C2311yescharacteristic, complemented
345C2×(C2×D3)⋊C4C2311yescharacteristic, complemented
346C2×(C2×D3)⋊C4C2311yescharacteristic, complemented
347#926—42no—
348C2×C4⋊Dic3C2311yescharacteristic, complemented
349C2×C4⋊Dic3C2311yescharacteristic, complemented
350C2×C4⋊Dic3C2311yescharacteristic, complemented
351C2×C4⋊Dic3C2311yescharacteristic, complemented
352C2×C4⋊Dic3C2311yescharacteristic, complemented
353C2×C4⋊Dic3C2311yescharacteristic, complemented
354C2×C4⋊Dic3C2311yescharacteristic, complemented
355#924—42no—
356C2×Dic3⋊C4C2311yescharacteristic, complemented
357C2×Dic3⋊C4C2311yescharacteristic, complemented
358C2×Dic3⋊C4C2311yescharacteristic, complemented
359C2×Dic3⋊C4C2311yescharacteristic, complemented
360C2×Dic3⋊C4C2311yescharacteristic, complemented
361C2×Dic3⋊C4C2311yescharacteristic, complemented
362C2×Dic3⋊C4C2311yescharacteristic, complemented
363C2×Dic3⋊C4C2311yescharacteristic, complemented
364C2×Dic3⋊C4C2311yescharacteristic, complemented
365C2×Dic3⋊C4C2311yescharacteristic, complemented
366C2×Dic3⋊C4C2311yescharacteristic, complemented
367C2×Dic3⋊C4C2311yescharacteristic, complemented
368C2×Dic3⋊C4C2311yescharacteristic, complemented
369C2×C4×Dic3C2311yescharacteristic, complemented
370C2×C4×Dic3C2311yescharacteristic, complemented
371C2×C4×Dic3C2311yescharacteristic, complemented
372C2×C4×Dic3C2311yescharacteristic, complemented
373C2×C4×Dic3C2311yescharacteristic, complemented
374C2×C4×Dic3C2311yescharacteristic, complemented
375C2×C4×Dic3C2311yescharacteristic, complemented
376#885—42no—
377#883—42no—
378#67⋊C4—42no—
379#879—42no—
380#879—42no—
381#878—42no—
382C3⋊#95C2311yescharacteristic, complemented
383C3⋊#95C2311yescharacteristic, complemented
384C3⋊#95C2311yescharacteristic, complemented
385C3⋊#95C2311yescharacteristic, complemented
386C3⋊#95C2311yescharacteristic, complemented
387C3⋊#95C2311yescharacteristic, complemented
388C3⋊#95C2311yescharacteristic, complemented
389C3⋊#95C2311yescharacteristic, complemented
390C3⋊#95C2311yescharacteristic, complemented
391C3⋊#95C2311yescharacteristic, complemented
392C3⋊#95C2311yescharacteristic, complemented
393C3⋊#95C2311yescharacteristic, complemented
394C3⋊#95C2311yescharacteristic, complemented
395C3⋊#95C2311yescharacteristic, complemented
396C3⋊#95C2311yescharacteristic, complemented
397C3⋊#95C2311yescharacteristic, complemented
398C3⋊#95C2311yescharacteristic, complemented
399C3⋊#95C2311yescharacteristic, complemented
400C3⋊#95C2311yescharacteristic, complemented
401C3⋊#95C2311yescharacteristic, complemented
402C3⋊#95C2311yescharacteristic, complemented
403C3⋊#95C2311yescharacteristic, complemented
404C3⋊#95C2311yescharacteristic, complemented
405C3⋊#95C2311yescharacteristic, complemented
406C3⋊#95C2311yescharacteristic, complemented
407C3⋊#95C2311yescharacteristic, complemented
408C3⋊#95C2311yescharacteristic, complemented
409C3⋊#95C2311yescharacteristic, complemented
410C26C2×D311yescharacteristic
411C2×#126—31no—
412C2×#126—31no—
413C2×#124—31no—
414C2×#123—31no—
415C2×#123—31no—
416C2×C22⋊Q8—31no—
417C2×C22⋊Q8—31no—
418C2×#120—31no—
419C2×#120—31no—
420C2×#120—31no—
421C2×#120—31no—
422C2×#120—31no—
423C2×#120—31no—
424C2×#120—31no—
425C2×C4×D4—31no—
426C2×C4×D4—31no—
427C2×#117—31no—
428C22×C22⋊C4—31no—
429C22×C22⋊C4—31no—
430C22×C22⋊C4—31no—
431C22×C22⋊C4—31no—
432C22×C22⋊C4—31no—
433C22×C22⋊C4—31no—
434C22×C22⋊C4C2×D311yescharacteristic
435C22×C22⋊C4C2×D311yescharacteristic
436C22×C22⋊C4C2×D311yescharacteristic
437C22×C22⋊C4C2×D311yescharacteristic
438C22×C22⋊C4C2×D311yescharacteristic
439C22×C22⋊C4C2×D311yescharacteristic
440#399—31no—
441#399—31no—
442#399—31no—
443#399—31no—
444#397—31no—
445#397—31no—
446#397—31no—
447#397—31no—
448#397—31no—
449#397—31no—
450#397—31no—
451#397—31no—
452#397—31no—
453#397—31no—
454#397—31no—
455#397—31no—
456#397—31no—
457#397—31no—
458#396—31no—
459#396—31no—
460#396—31no—
461#396—31no—
462#396—31no—
463#396—31no—
464#396—31no—
465#396—31no—
466#394—31no—
467#394—31no—
468#394—31no—
469#394—31no—
470#394—31no—
471#394—31no—
472#394—31no—
473#394—31no—
474#394—31no—
475#394—31no—
476#393—31no—
477#393—31no—
478#393—31no—
479#393—31no—
480#390—31no—
481#390—31no—
482#390—31no—
483#390—31no—
484#388—31no—
485#388—31no—
486#388—31no—
487#388—31no—
488#388—31no—
489#388—31no—
490#388—31no—
491#388—31no—
492#388—31no—
493#388—31no—
494#388—31no—
495#388—31no—
496#388—31no—
497#388—31no—
498#388—31no—
499#388—31no—
500#388—31no—
501#388—31no—
502#388—31no—
503#388—31no—
504#388—31no—
505#388—31no—
506#388—31no—
507#388—31no—
508#388—31no—
509#388—31no—
510#388—31no—
511#388—31no—
512#386—31no—
513#386—31no—
514#386—31no—
515#386—31no—
516#386—31no—
517#386—31no—
518#386—31no—
519#386—31no—
520#386—31no—
521#385—31no—
522#385—31no—
523#385—31no—
524#385—31no—
525#385—31no—
526#385—31no—
527#385—31no—
528#385—31no—
529#385—31no—
530#381—31no—
531#381—31no—
532#380—31no—
533#380—31no—
534#380—31no—
535#380—31no—
536#380—31no—
537#379—31no—
538#379—31no—
539#379—31no—
540#379—31no—
541#379—31no—
542#379—31no—
543#379—31no—
544#379—31no—
545#379—31no—
546#379—31no—
547#379—31no—
548#379—31no—
549#379—31no—
550#379—31no—
551#379—31no—
552#379C2×D311yescharacteristic
553#379C2×D311yescharacteristic
554#379C2×D311yescharacteristic
555#379C2×D311yescharacteristic
556#379C2×D311yescharacteristic
557#379C2×D311yescharacteristic
558#379C2×D311yescharacteristic
559#379C2×D311yescharacteristic
560C4×C22⋊C4—31no—
561C4×C22⋊C4—31no—
562C4×C22⋊C4—31no—
563C4×C22⋊C4—31no—
564C4×C22⋊C4—31no—
565C24×C3—22no—
566C24×C3—22no—
567C24×C3—22no—
568C24×C3—22no—
569C24×C3—22no—
570C24×C3—22no—
571C24×C3—22no—
572C24×C3—22no—
573C24×C3—22no—
574C24×C3—22no—
575C24×C3—22no—
576C24×C3—22no—
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—22no—
586C24×C3—22no—
587C24×C3—22no—
588C24×C3—22no—
589C24×C3—22no—
590C24×C3—22no—
591C24×C3—22no—
592C24×C3—41no—
593C24×C3—41no—
594C24×C3—41no—
595C24×C3—41no—
596C24×C3—41no—
597C24×C3—41no—
598C24×C3—41no—
599C24×C3—41no—
600C24×C3—41no—
601C24×C3—41no—
602C24×C3—41no—
603C24×C3—41no—
604C24×C3—41no—
605C24×C3—41no—
606C24×C3—41no—
607C24×C3—41no—
608C24×C3—41no—
609C24×C3—41no—
610C24×C3—41no—
611C24×C3—41no—
612C24×C3—416no—
613C24×C3—416no—
614C24×C3—416no—
615C24×C3—416no—
616C24×C3—416no—
617C24×C3—416no—
618C24×C3—416no—
619C24×C3#4114yes—
620C24×C3#4114yes—
621C24×C3C2411yescharacteristic
622C24×C3C2411yescharacteristic
623C24×C3C2411yescharacteristic
624C24×C3C2411yescharacteristic
625C24×C3C2411yescharacteristic
626C24×C3C2411yescharacteristic
627C24×C3C2411yescharacteristic
628C23×D3C2411yescharacteristic
629C22×C3×C4—22no—
630C22×C3×C4—22no—
631C22×C3×C4—22no—
632C22×C3×C4—22no—
633C22×C3×C4—22no—
634C22×C3×C4—22no—
635C22×C3×C4—41no—
636C22×C3×C4—41no—
637C22×C3×C4—41no—
638C22×C3×C4—41no—
639C22×C3×C4—41no—
640C22×C3×C4—41no—
641C22×C3×C4C2411yescharacteristic
642C22×C3×C4C2411yescharacteristic
643C22×C3×C4C2411yescharacteristic
644C22×C3×C4C2411yescharacteristic
645C22×C3×C4C2411yescharacteristic
646C22×C3×C4C2411yescharacteristic
647C22×C3×C4C2411yescharacteristic
648C22×C3×C4C2411yescharacteristic
649C2×#67—22no—
650C2×#67—22no—
651C2×#67—22no—
652C2×#67—22no—
653C2×#67—22no—
654C2×#67—22no—
655C2×#67—22no—
656C2×#67—22no—
657C2×#67—22no—
658C2×#67—22no—
659C2×#67—22no—
660C2×#67—41no—
661C2×#67—41no—
662C2×#67—41no—
663C2×#67—41no—
664C2×#67—41no—
665C2×#67—41no—
666C2×#67—41no—
667C2×#67—41no—
668C2×#67—41no—
669C2×#67—41no—
670C22×Dic3—22no—
671C22×Dic3—22no—
672C22×Dic3—22no—
673C22×Dic3—22no—
674C22×Dic3—41no—
675C22×Dic3—41no—
676C22×Dic3—41no—
677C22×Dic3—41no—
678C22×Dic3—41no—
679C22×Dic3—41no—
680C22×Dic3—41no—
681C22×Dic3—41no—
682C22×Dic3C2411yescharacteristic
683C22×Dic3C2411yescharacteristic
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
697C2×C4×D3—41no—
698C2×C4×D3—41no—
699C2×C4×D3—41no—
700C2×Dic6—41no—
701C2×Dic6—41no—
702C2×Dic6—41no—
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⋊C4—22no—
712C3×C22⋊C4—22no—
713C3×C22⋊C4—41no—
714C3×C22⋊C4—41no—
715C3×C22⋊C4—41no—
716C3×C22⋊C4—41no—
717C3×C22⋊C4—41no—
718C3×C22⋊C4—41no—
719C3×C22⋊C4—41no—
720C3×C22⋊C4—41no—
721C3×C22⋊C4—41no—
722C3×C22⋊C4—41no—
723C3×C22⋊C4—41no—
724C3×C22⋊C4—41no—
725C3×C22⋊C4—41no—
726C3×C22⋊C4—41no—
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—22no—
742#217—22no—
743#217—22no—
744#217—22no—
745#217—22no—
746#217—22no—
747#217—22no—
748#217—22no—
749#217—22no—
750#217—41no—
751#217—41no—
752#217—41no—
753#217—41no—
754#217—41no—
755#217—41no—
756#217—41no—
757#217—41no—
758#217—41no—
759#217—41no—
760#217—41no—
761#217—41no—
762#217—41no—
763#217—41no—
764#217—41no—
765#217—41no—
766#217—41no—
767#217—41no—
768#217—41no—
769#217—41no—
770#217—41no—
771#217—41no—
772(C2×D3)⋊C4—41no—
773(C2×D3)⋊C4—41no—
774(C2×D3)⋊C4—41no—
775(C2×D3)⋊C4—41no—
776(C2×D3)⋊C4—41no—
777(C2×D3)⋊C4—41no—
778(C2×D3)⋊C4—41no—
779C4⋊Dic3—41no—
780C4⋊Dic3—41no—
781C4⋊Dic3—41no—
782C4⋊Dic3—41no—
783C4⋊Dic3—41no—
784C4⋊Dic3—41no—
785C4⋊Dic3—41no—
786Dic3⋊C4—41no—
787Dic3⋊C4—41no—
788Dic3⋊C4—41no—
789Dic3⋊C4—41no—
790Dic3⋊C4—41no—
791Dic3⋊C4—41no—
792Dic3⋊C4—41no—
793Dic3⋊C4—41no—
794Dic3⋊C4—41no—
795Dic3⋊C4—41no—
796Dic3⋊C4—41no—
797Dic3⋊C4—41no—
798Dic3⋊C4—41no—
799C4×Dic3—41no—
800C4×Dic3—41no—
801C4×Dic3—41no—
802C4×Dic3—41no—
803C4×Dic3—41no—
804C4×Dic3—41no—
805C4×Dic3—41no—
806C25—24no—
807C25—24no—
808C25—42no—
809C25—42no—
810C25—42no—
811C25—42no—
812C25—42no—
813C25C22×D311yescharacteristic
814C25C22×D311yescharacteristic
815C25C22×D311yescharacteristic
816C25C22×D311yescharacteristic
817C25C22×D311yescharacteristic
818C25C22×D311yescharacteristic
819C25C22×D311yescharacteristic
820C22×Q8—31no—
821C22×D4—31no—
822C22×D4—31no—
823C22×D4—31no—
824C22×D4—31no—
825C22×D4—31no—
826C22×D4—31no—
827C22×D4—31no—
828C23×C4—31no—
829C23×C4—31no—
830C23×C4—31no—
831C23×C4—31no—
832C23×C4—31no—
833C23×C4C22×D311yescharacteristic
834C23×C4C22×D311yescharacteristic
835C23×C4C22×D311yescharacteristic
836C23×C4C22×D311yescharacteristic
837#126—122no—
838#126—122no—
839#124—122no—
840#123—122no—
841#123—122no—
842C22⋊Q8—122no—
843C22⋊Q8—122no—
844#120—64no—
845#120—64no—
846#120—122no—
847#120—122no—
848#120—122no—
849#120—122no—
850#120—122no—
851C4×D4—122no—
852C4×D4—122no—
853#117—122no—
854C2×C4⋊C4—31no—
855C2×C4⋊C4—31no—
856C2×C4⋊C4—31no—
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×C22⋊C4—24no—
875C2×C22⋊C4—31no—
876C2×C22⋊C4—31no—
877C2×C22⋊C4—31no—
878C2×C22⋊C4—31no—
879C2×C22⋊C4—31no—
880C2×C22⋊C4—31no—
881C2×C22⋊C4—31no—
882C2×C22⋊C4—31no—
883C2×C22⋊C4—31no—
884C2×C22⋊C4—31no—
885C2×C22⋊C4—31no—
886C2×C22⋊C4—31no—
887C2×C22⋊C4—31no—
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—42no—
928C2×C22⋊C4—42no—
929C2×C22⋊C4—42no—
930C2×C22⋊C4—42no—
931C2×C22⋊C4—42no—
932C2×C22⋊C4—64no—
933C2×C22⋊C4—122no—
934C2×C22⋊C4—122no—
935C2×C22⋊C4—122no—
936C2×C22⋊C4—122no—
937C2×C22⋊C4—122no—
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×C22⋊C4C22×D311yescharacteristic
947C2×C22⋊C4C22×D311yescharacteristic
948C2×C22⋊C4C22×D311yescharacteristic
949C2×C22⋊C4C22×D311yescharacteristic
950C2×C22⋊C4C22×D311yescharacteristic
951C2×C22⋊C4C22×D311yescharacteristic
952C2×C22⋊C4C22×D311yescharacteristic
953C2×C22⋊C4C22×D311yescharacteristic
954C2×C22⋊C4C22×D311yescharacteristic
955C2×C22⋊C4C22×D311yescharacteristic
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×C42—31no—
963C2×C42—31no—
964C2×C42—31no—
965C2×C42—31no—
966C2×C42—31no—
967C2×C42—31no—
968C2×C42—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—
992#95—31no—
993#95—31no—
994#95—31no—
995#95—31no—
996#95—31no—
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—28no—
1006C23×C3—28no—
1007C23×C3—28no—
1008C23×C3—28no—
1009C23×C3—28no—
1010C23×C3—28no—
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—44no—
1042C23×C3—44no—
1043C23×C3—44no—
1044C23×C3—44no—
1045C23×C3—44no—
1046C23×C3—44no—
1047C23×C3—44no—
1048C23×C3—44no—
1049C23×C3—44no—
1050C23×C3—44no—
1051C23×C3—44no—
1052C23×C3—44no—
1053C23×C3—44no—
1054C23×C3—44no—
1055C23×C3—44no—
1056C23×C3—44no—
1057C23×C3—44no—
1058C23×C3—44no—
1059C23×C3—44no—
1060C23×C3—44no—
1061C23×C3—44no—
1062C23×C3—44no—
1063C23×C3—44no—
1064C23×C3—44no—
1065C23×C3—44no—
1066C23×C3—44no—
1067C23×C3—44no—
1068C23×C3—44no—
1069C23×C3—44no—
1070C23×C3—44no—
1071C23×C3—44no—
1072C23×C3—44no—
1073C23×C3—44no—
1074C23×C3—44no—
1075C23×C3—44no—
1076C23×C3—44no—
1077C23×C3—44no—
1078C23×C3—44no—
1079C23×C3—4128no—
1080C23×C3—44no—
1081C23×C3—44no—
1082C23×C3—44no—
1083C23×C3—44no—
1084C23×C3—44no—
1085C23×C3C2×#4112yes—
1086C23×C3C2×#4112yes—
1087C23×C3C2×#4112yes—
1088C23×C3C2×#4112yes—
1089C23×C3C2×#4112yes—
1090C23×C3C2×#4112yes—
1091C23×C3H(5,𝔽2)12yes—
1092C23×C3H(5,𝔽2)12yes—
1093C23×C3H(5,𝔽2)12yes—
1094C23×C3H(5,𝔽2)12yes—
1095C23×C3H(5,𝔽2)12yes—
1096C23×C3C2511yescharacteristic
1097C22×D3—21no—
1098C22×D3—21no—
1099C22×D3—21no—
1100C22×D3—21no—
1101C22×D3—21no—
1102C22×D3—21no—
1103C22×D3—21no—
1104C2×C3×C4—21no—
1105C2×C3×C4—21no—
1106C2×C3×C4—21no—
1107C2×C3×C4—21no—
1108C2×C3×C4—21no—
1109C2×C3×C4—21no—
1110C2×C3×C4—21no—
1111C2×C3×C4—21no—
1112C2×C3×C4—21no—
1113C2×C3×C4—21no—
1114C2×C3×C4—21no—
1115C2×C3×C4—21no—
1116C2×C3×C4—21no—
1117C2×C3×C4—21no—
1118C2×C3×C4—21no—
1119C2×C3×C4—21no—
1120C2×C3×C4—21no—
1121C2×C3×C4—21no—
1122C2×C3×C4—21no—
1123C2×C3×C4—21no—
1124C2×C3×C4—21no—
1125C2×C3×C4—21no—
1126C2×C3×C4—21no—
1127C2×C3×C4—21no—
1128C2×C3×C4—44no—
1129C2×C3×C4—82no—
1130C2×C3×C4—82no—
1131C2×C3×C4—82no—
1132#67—44no—
1133#67—44no—
1134#67—82no—
1135#67—82no—
1136#67—82no—
1137#67—82no—
1138#67—82no—
1139C2×Dic3—21no—
1140C2×Dic3—21no—
1141C2×Dic3—21no—
1142C2×Dic3—21no—
1143C2×Dic3—21no—
1144C2×Dic3—21no—
1145C2×Dic3—21no—
1146C2×Dic3—21no—
1147C2×Dic3—21no—
1148C2×Dic3—21no—
1149C2×Dic3—21no—
1150C2×Dic3—21no—
1151C2×Dic3—21no—
1152C2×Dic3—21no—
1153C2×Dic3—21no—
1154C2×Dic3—21no—
1155C2×Dic3—21no—
1156C2×Dic3—21no—
1157C2×Dic3—21no—
1158C2×Dic3—21no—
1159C2×Dic3—21no—
1160C2×Dic3—21no—
1161C2×Dic3—21no—
1162C2×Dic3—21no—
1163C2×Dic3—21no—
1164C2×Dic3—21no—
1165C2×Dic3—21no—
1166C2×Dic3—21no—
1167C2×Dic3—21no—
1168C2×Dic3—21no—
1169C2×Dic3—21no—
1170C2×Dic3—21no—
1171C2×Dic3—21no—
1172C2×Dic3—21no—
1173C2×Dic3—21no—
1174C2×Dic3—21no—
1175C2×Dic3—21no—
1176C2×Dic3—21no—
1177C2×Dic3—21no—
1178C2×Dic3—21no—
1179C2×Dic3—21no—
1180C2×Dic3—21no—
1181C2×Dic3—21no—
1182C2×Dic3—21no—
1183C2×Dic3—21no—
1184C2×Dic3—82no—
1185C2×Dic3—82no—
1186C2×Dic3—82no—
1187C2×Dic3—82no—
1188C4×D3—82no—
1189Dic6—82no—
1190C24—22no—
1191C24—22no—
1192C24—22no—
1193C24—22no—
1194C24—22no—
1195C24—22no—
1196C24—22no—
1197C24—22no—
1198C24—22no—
1199C24—22no—
1200C24—22no—
1201C24—22no—
1202C24—22no—
1203C24—22no—
1204C24—22no—
1205C24—22no—
1206C24—22no—
1207C24—22no—
1208C24—22no—
1209C24—22no—
1210C24—22no—
1211C24—22no—
1212C24—22no—
1213C24—22no—
1214C24—22no—
1215C24—22no—
1216C24—22no—
1217C24—31no—
1218C24—41no—
1219C24—41no—
1220C24—41no—
1221C24—41no—
1222C24—41no—
1223C24—41no—
1224C24—41no—
1225C24—41no—
1226C24—41no—
1227C24—41no—
1228C24—41no—
1229C24—41no—
1230C24—41no—
1231C24—41no—
1232C24—41no—
1233C24—41no—
1234C24—41no—
1235C24—41no—
1236C24—41no—
1237C24—41no—
1238C24—416no—
1239C24—416no—
1240C24—416no—
1241C24—416no—
1242C24—416no—
1243C24—416no—
1244C24—416no—
1245C24#23514yes—
1246C24#23714yes—
1247C24C23×D311yescharacteristic
1248C24C23×D311yescharacteristic
1249C24C23×D311yescharacteristic
1250C24C23×D311yescharacteristic
1251C24C23×D311yescharacteristic
1252C24C23×D311yescharacteristic
1253C24C23×D311yescharacteristic
1254C2×Q8—121no—
1255C2×Q8—121no—
1256C2×Q8—121no—
1257C2×D4—62no—
1258C2×D4—62no—
1259C2×D4—62no—
1260C2×D4—62no—
1261C2×D4—62no—
1262C2×D4—62no—
1263C2×D4—62no—
1264C2×D4—62no—
1265C2×D4—62no—
1266C2×D4—62no—
1267C2×D4—62no—
1268C2×D4—121no—
1269C2×D4—121no—
1270C2×D4—121no—
1271C2×D4—121no—
1272C2×D4—121no—
1273C2×D4—121no—
1274C2×D4—121no—
1275C2×D4—121no—
1276C2×D4—121no—
1277C2×D4—121no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—31no—
1285C22×C4—31no—
1286C22×C4—31no—
1287C22×C4—31no—
1288C22×C4—31no—
1289C22×C4—31no—
1290C22×C4—31no—
1291C22×C4—31no—
1292C22×C4—31no—
1293C22×C4—31no—
1294C22×C4—31no—
1295C22×C4—31no—
1296C22×C4—31no—
1297C22×C4—31no—
1298C22×C4—31no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—41no—
1303C22×C4—41no—
1304C22×C4—41no—
1305C22×C4—62no—
1306C22×C4—62no—
1307C22×C4—62no—
1308C22×C4—62no—
1309C22×C4—121no—
1310C22×C4—121no—
1311C22×C4—121no—
1312C22×C4—121no—
1313C22×C4—121no—
1314C22×C4—121no—
1315C22×C4—121no—
1316C22×C4—121no—
1317C22×C4—121no—
1318C22×C4—121no—
1319C22×C4—121no—
1320C22×C4C23×D311yescharacteristic
1321C22×C4C23×D311yescharacteristic
1322C22×C4C23×D311yescharacteristic
1323C22×C4C23×D311yescharacteristic
1324C22×C4C23×D311yescharacteristic
1325C22×C4C23×D311yescharacteristic
1326C22×C4C23×D311yescharacteristic
1327C22×C4C23×D311yescharacteristic
1328C4⋊C4—121no—
1329C4⋊C4—121no—
1330C4⋊C4—121no—
1331C4⋊C4—121no—
1332C4⋊C4—121no—
1333C4⋊C4—121no—
1334C4⋊C4—121no—
1335C4⋊C4—121no—
1336C4⋊C4—121no—
1337C4⋊C4—121no—
1338C4⋊C4—121no—
1339C4⋊C4—121no—
1340C4⋊C4—121no—
1341C4⋊C4—121no—
1342C4⋊C4—121no—
1343C4⋊C4—121no—
1344C4⋊C4—121no—
1345C4⋊C4—121no—
1346C4⋊C4—121no—
1347C4⋊C4—121no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—22no—
1357C22⋊C4—22no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—62no—
1373C22⋊C4—62no—
1374C22⋊C4—62no—
1375C22⋊C4—62no—
1376C22⋊C4—62no—
1377C22⋊C4—62no—
1378C22⋊C4—62no—
1379C22⋊C4—62no—
1380C22⋊C4—62no—
1381C22⋊C4—62no—
1382C22⋊C4—62no—
1383C22⋊C4—62no—
1384C22⋊C4—62no—
1385C22⋊C4—62no—
1386C22⋊C4—62no—
1387C22⋊C4—62no—
1388C22⋊C4—62no—
1389C22⋊C4—62no—
1390C22⋊C4—62no—
1391C22⋊C4—62no—
1392C22⋊C4—62no—
1393C22⋊C4—62no—
1394C22⋊C4—62no—
1395C22⋊C4—121no—
1396C22⋊C4—121no—
1397C22⋊C4—121no—
1398C22⋊C4—121no—
1399C22⋊C4—121no—
1400C22⋊C4—121no—
1401C22⋊C4—121no—
1402C22⋊C4—121no—
1403C22⋊C4—121no—
1404C22⋊C4—121no—
1405C22⋊C4—121no—
1406C22⋊C4—121no—
1407C22⋊C4—121no—
1408C22⋊C4—121no—
1409C22⋊C4—121no—
1410C22⋊C4—121no—
1411C22⋊C4—121no—
1412C22⋊C4—121no—
1413C22⋊C4—121no—
1414C22⋊C4—121no—
1415C22⋊C4—121no—
1416C22⋊C4—121no—
1417C22⋊C4—121no—
1418C22⋊C4—121no—
1419C22⋊C4—121no—
1420C22⋊C4—121no—
1421C22⋊C4—121no—
1422C22⋊C4—121no—
1423C22⋊C4—121no—
1424C42—121no—
1425C42—121no—
1426C42—121no—
1427C42—121no—
1428C42—121no—
1429C42—121no—
1430C42—121no—
1431C22×C3—22no—
1432C22×C3—22no—
1433C22×C3—22no—
1434C22×C3—22no—
1435C22×C3—22no—
1436C22×C3—22no—
1437C22×C3—22no—
1438C22×C3—22no—
1439C22×C3—22no—
1440C22×C3—22no—
1441C22×C3—22no—
1442C22×C3—22no—
1443C22×C3—22no—
1444C22×C3—22no—
1445C22×C3—22no—
1446C22×C3—22no—
1447C22×C3—22no—
1448C22×C3—22no—
1449C22×C3—22no—
1450C22×C3—22no—
1451C22×C3—22no—
1452C22×C3—22no—
1453C22×C3—22no—
1454C22×C3—22no—
1455C22×C3—22no—
1456C22×C3—22no—
1457C22×C3—22no—
1458C22×C3—416no—
1459C22×C3—416no—
1460C22×C3—416no—
1461C22×C3—416no—
1462C22×C3—416no—
1463C22×C3—416no—
1464C22×C3—416no—
1465C22×C3—41no—
1466C22×C3—41no—
1467C22×C3—41no—
1468C22×C3—41no—
1469C22×C3—41no—
1470C22×C3—41no—
1471C22×C3—41no—
1472C22×C3—41no—
1473C22×C3—41no—
1474C22×C3—41no—
1475C22×C3—41no—
1476C22×C3—41no—
1477C22×C3—41no—
1478C22×C3—41no—
1479C22×C3—41no—
1480C22×C3—41no—
1481C22×C3—41no—
1482C22×C3—41no—
1483C22×C3—41no—
1484C22×C3—41no—
1485C22×C3#53814yes—
1486C22×C3#55114yes—
1487C22×C3C22×#4111yescharacteristic
1488C22×C3C22×#4111yescharacteristic
1489C22×C3C2×H(5,𝔽2)11yescharacteristic
1490C22×C3C2×H(5,𝔽2)11yescharacteristic
1491C22×C3C2×H(5,𝔽2)11yescharacteristic
1492C22×C3C2×H(5,𝔽2)11yescharacteristic
1493C22×C3C2×H(5,𝔽2)11yescharacteristic
1494C2×D3—41no—
1495C2×D3—41no—
1496C2×D3—41no—
1497C2×D3—41no—
1498C2×D3—41no—
1499C2×D3—41no—
1500C2×D3—41no—
1501C3×C4—41no—
1502C3×C4—41no—
1503C3×C4—41no—
1504C3×C4—41no—
1505C3×C4—41no—
1506C3×C4—41no—
1507C3×C4—41no—
1508C3×C4—41no—
1509Dic3—41no—
1510Dic3—41no—
1511Dic3—41no—
1512Dic3—41no—
1513Dic3—41no—
1514Dic3—41no—
1515Dic3—41no—
1516Dic3—41no—
1517Dic3—41no—
1518Dic3—41no—
1519Dic3—41no—
1520Dic3—41no—
1521Dic3—41no—
1522Dic3—41no—
1523Dic3—41no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—28no—
1533C23—28no—
1534C23—28no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—28no—
1566C23—28no—
1567C23—28no—
1568C23—44no—
1569C23—44no—
1570C23—44no—
1571C23—44no—
1572C23—44no—
1573C23—44no—
1574C23—44no—
1575C23—44no—
1576C23—44no—
1577C23—44no—
1578C23—44no—
1579C23—44no—
1580C23—44no—
1581C23—44no—
1582C23—44no—
1583C23—44no—
1584C23—44no—
1585C23—44no—
1586C23—44no—
1587C23—44no—
1588C23—44no—
1589C23—44no—
1590C23—44no—
1591C23—44no—
1592C23—44no—
1593C23—44no—
1594C23—44no—
1595C23—44no—
1596C23—44no—
1597C23—44no—
1598C23—44no—
1599C23—44no—
1600C23—44no—
1601C23—44no—
1602C23—44no—
1603C23—44no—
1604C23—44no—
1605C23—44no—
1606C23—4128no—
1607C23—44no—
1608C23—44no—
1609C23—44no—
1610C23—44no—
1611C23—44no—
1612C23—61no—
1613C23—61no—
1614C23—61no—
1615C23—61no—
1616C23—61no—
1617C23—61no—
1618C23—61no—
1619C23C2×#23512yes—
1620C23C2×#23512yes—
1621C23C2×#23512yes—
1622C23C2×#23712yes—
1623C23C2×#23712yes—
1624C23C2×#23712yes—
1625C23#100412yes—
1626C23#100412yes—
1627C23#100412yes—
1628C23#100412yes—
1629C23#100412yes—
1630C23C24×D311yescharacteristic
1631Q8—242no—
1632D4—124no—
1633D4—124no—
1634D4—242no—
1635D4—242no—
1636D4—242no—
1637D4—242no—
1638D4—242no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—44no—
1664C2×C4—61no—
1665C2×C4—61no—
1666C2×C4—61no—
1667C2×C4—61no—
1668C2×C4—61no—
1669C2×C4—61no—
1670C2×C4—61no—
1671C2×C4—61no—
1672C2×C4—61no—
1673C2×C4—61no—
1674C2×C4—61no—
1675C2×C4—61no—
1676C2×C4—61no—
1677C2×C4—61no—
1678C2×C4—61no—
1679C2×C4—61no—
1680C2×C4—61no—
1681C2×C4—61no—
1682C2×C4—61no—
1683C2×C4—61no—
1684C2×C4—61no—
1685C2×C4—61no—
1686C2×C4—61no—
1687C2×C4—61no—
1688C2×C4—61no—
1689C2×C4—61no—
1690C2×C4—61no—
1691C2×C4—61no—
1692C2×C4—61no—
1693C2×C4—61no—
1694C2×C4—61no—
1695C2×C4—61no—
1696C2×C4—61no—
1697C2×C4—61no—
1698C2×C4—61no—
1699C2×C4—61no—
1700C2×C4—61no—
1701C2×C4—61no—
1702C2×C4—61no—
1703C2×C4—61no—
1704C2×C4—61no—
1705C2×C4—61no—
1706C2×C4—61no—
1707C2×C4—61no—
1708C2×C4—61no—
1709C2×C4—82no—
1710C2×C4—82no—
1711C2×C4—82no—
1712C2×C4—242no—
1713C2×C4—242no—
1714C2×C4—242no—
1715C2×C4—242no—
1716C2×C4—242no—
1717C2×C3—24no—
1718C2×C3—24no—
1719C2×C3—42no—
1720C2×C3—42no—
1721C2×C3—42no—
1722C2×C3—42no—
1723C2×C3—42no—
1724C2×C3C2×#53811yescharacteristic
1725C2×C3C2×#55111yescharacteristic
1726C2×C3#349011yescharacteristic
1727C2×C3#349011yescharacteristic
1728C2×C3#349011yescharacteristic
1729C2×C3#353211yescharacteristic
1730C2×C3#353211yescharacteristic
1731D3—81no—
1732C22—22no—
1733C22—22no—
1734C22—22no—
1735C22—22no—
1736C22—22no—
1737C22—22no—
1738C22—22no—
1739C22—22no—
1740C22—22no—
1741C22—22no—
1742C22—22no—
1743C22—22no—
1744C22—22no—
1745C22—22no—
1746C22—22no—
1747C22—22no—
1748C22—22no—
1749C22—22no—
1750C22—22no—
1751C22—22no—
1752C22—22no—
1753C22—22no—
1754C22—22no—
1755C22—22no—
1756C22—22no—
1757C22—22no—
1758C22—22no—
1759C22—416no—
1760C22—416no—
1761C22—416no—
1762C22—416no—
1763C22—416no—
1764C22—416no—
1765C22—416no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—121no—
1787C22—121no—
1788C22—121no—
1789C22—121no—
1790C22—121no—
1791C22—121no—
1792C22—121no—
1793C22#549514yes—
1794C22#559314yes—
1795C22C22×#23511yescharacteristic
1796C22C22×#23711yescharacteristic
1797C22C2×#100411yescharacteristic
1798C22C2×#100411yescharacteristic
1799C22C2×#100411yescharacteristic
1800C22C2×#100411yescharacteristic
1801C22C2×#100411yescharacteristic
1802C4—41no—
1803C4—41no—
1804C4—41no—
1805C4—41no—
1806C4—41no—
1807C4—41no—
1808C4—41no—
1809C4—41no—
1810C4—121no—
1811C4—121no—
1812C4—121no—
1813C4—121no—
1814C4—121no—
1815C4—121no—
1816C4—121no—
1817C4—121no—
1818C4—121no—
1819C4—121no—
1820C4—121no—
1821C4—121no—
1822C4—121no—
1823C4—121no—
1824C4—121no—
1825C3#3784811yescharacteristic, complemented, Sylow
1826C2—24no—
1827C2—24no—
1828C2—42no—
1829C2—42no—
1830C2—42no—
1831C2—42no—
1832C2—42no—
1833C2—241no—
1834C2C2×#549511yescharacteristic
1835C2#8569711yescharacteristic
1836C2#8569711yescharacteristic
1837C2C2×#559311yescharacteristic
1838C2#8591311yescharacteristic
1839C2#8592111yescharacteristic
1840C2#8592111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC2×C3×#379C2
prime radical#84128C2
hypercenterC2×#379D3
hypocenterC3#37848
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#379

Complements

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

NH ≅ G/Ntype
1. C2×C3×#379C2semidirect
3. C2×#5247C2semidirect
4. #82129C2semidirect
5. #82128C2semidirect
6. #82116C2semidirect
7. #82113C2semidirect
8. #82112C2semidirect
9. #82112C2semidirect
10. #82111C2semidirect
11. #82110C2semidirect
12. #82107C2semidirect
13. #82106C2semidirect
14. #82099C2semidirect
15. #82097C2semidirect
16. #73859C2semidirect
17. #73856C2semidirect
18. #73843C2semidirect
19. #73842C2semidirect
20. #73841C2semidirect
21. #73841C2semidirect
22. #73840C2semidirect
23. #73839C2semidirect
24. #73838C2semidirect
25. #73836C2semidirect
26. #73831C2semidirect
27. #73830C2semidirect
28. #73829C2semidirect
29. #73826C2semidirect
30. #73821C2semidirect
31. #73820C2semidirect
53. C2×#929C22semidirect
54. C2×C4×#67C22semidirect
55. C2×#926C22semidirect
56. C2×#924C22semidirect
57. C2×#885C22semidirect
58. C2×#883C22semidirect
59. C2×#67⋊C4C22semidirect
60. C2×#879C22semidirect
61. C2×#879C22semidirect
62. C2×#878C22semidirect
86. #5213C22semidirect
87. #5213C22semidirect
88. #5212C22semidirect
89. #5212C22semidirect
90. #5211C22semidirect
91. #5211C22semidirect
92. #5210C22semidirect
93. #5210C22semidirect
94. #5210C22semidirect
95. #5210C22semidirect
96. C4×#217C22semidirect
97. C4×#217C22semidirect
98. #4961C22semidirect
99. #4961C22semidirect
100. #4961C22semidirect
101. #4961C22semidirect
102. #4961C22semidirect
103. #4961C22semidirect
104. #4959C22semidirect
105. #4959C22semidirect
106. #4959C22semidirect
107. #4959C22semidirect
108. #4958C22semidirect
109. #4958C22semidirect
110. #4958C22semidirect
111. #4957C22semidirect
112. #4957C22semidirect
113. #4957C22semidirect
114. #4957C22semidirect
115. #4956C22semidirect
116. #4956C22semidirect
117. #4956C22semidirect
118. #4956C22semidirect
119. #4953C22semidirect
120. #4953C22semidirect
121. #4953C22semidirect
122. #4953C22semidirect
123. #4953C22semidirect
124. #4953C22semidirect
125. #4952C22semidirect
126. #4952C22semidirect
127. #4952C22semidirect
128. #4952C22semidirect
129. #4952C22semidirect
130. #4952C22semidirect
131. #4952C22semidirect
132. #4952C22semidirect
133. #4951C22semidirect
134. #4951C22semidirect
135. #4951C22semidirect
136. #4951C22semidirect
137. #4951C22semidirect
138. #4951C22semidirect
139. #4951C22semidirect
140. #4951C22semidirect
141. #4950C22semidirect
142. #4950C22semidirect
143. #4950C22semidirect
144. #4949C22semidirect
145. #4949C22semidirect
146. #4949C22semidirect
147. #4949C22semidirect
148. #4948C22semidirect
149. #4948C22semidirect
150. #4948C22semidirect
151. #4948C22semidirect
152. #4948C22semidirect
153. #4948C22semidirect
154. #4948C22semidirect
155. #4948C22semidirect
156. #4947C22semidirect
157. #4947C22semidirect
158. #4947C22semidirect
159. #4947C22semidirect
160. #4946C22semidirect
161. #4946C22semidirect
162. #4945C22semidirect
163. #4945C22semidirect
164. #4945C22semidirect
165. #4945C22semidirect
166. #4945C22semidirect
167. #4945C22semidirect
168. #4945C22semidirect
169. #4945C22semidirect
170. #4945C22semidirect
171. #4945C22semidirect
172. #4944C22semidirect
173. #4944C22semidirect
174. #4944C22semidirect
175. #4944C22semidirect
176. #4944C22semidirect
177. #4944C22semidirect
178. #4944C22semidirect
179. #4944C22semidirect
180. #4944C22semidirect
181. #4944C22semidirect
182. #4942C22semidirect
183. #4942C22semidirect
184. #4942C22semidirect
185. Dic3×C22⋊C4C22semidirect
186. Dic3×C22⋊C4C22semidirect
187. Dic3×C22⋊C4C22semidirect
218. C2×#379D3semidirect
248. C22×C4×D3C23semidirect
249. C22×Dic6C23semidirect
340. C2×(C2×D3)⋊C4C23semidirect
341. C2×(C2×D3)⋊C4C23semidirect
342. C2×(C2×D3)⋊C4C23semidirect
343. C2×(C2×D3)⋊C4C23semidirect
344. C2×(C2×D3)⋊C4C23semidirect
345. C2×(C2×D3)⋊C4C23semidirect
346. C2×(C2×D3)⋊C4C23semidirect
348. C2×C4⋊Dic3C23semidirect
349. C2×C4⋊Dic3C23semidirect
350. C2×C4⋊Dic3C23semidirect
351. C2×C4⋊Dic3C23semidirect
352. C2×C4⋊Dic3C23semidirect
353. C2×C4⋊Dic3C23semidirect
354. C2×C4⋊Dic3C23semidirect
356. C2×Dic3⋊C4C23semidirect
357. C2×Dic3⋊C4C23semidirect
358. C2×Dic3⋊C4C23semidirect
359. C2×Dic3⋊C4C23semidirect
360. C2×Dic3⋊C4C23semidirect
361. C2×Dic3⋊C4C23semidirect
362. C2×Dic3⋊C4C23semidirect
363. C2×Dic3⋊C4C23semidirect
364. C2×Dic3⋊C4C23semidirect
365. C2×Dic3⋊C4C23semidirect
366. C2×Dic3⋊C4C23semidirect
367. C2×Dic3⋊C4C23semidirect
368. C2×Dic3⋊C4C23semidirect
369. C2×C4×Dic3C23semidirect
370. C2×C4×Dic3C23semidirect
371. C2×C4×Dic3C23semidirect
372. C2×C4×Dic3C23semidirect
373. C2×C4×Dic3C23semidirect
374. C2×C4×Dic3C23semidirect
375. C2×C4×Dic3C23semidirect
382. C3⋊#95C23semidirect
383. C3⋊#95C23semidirect
384. C3⋊#95C23semidirect
385. C3⋊#95C23semidirect
386. C3⋊#95C23semidirect
387. C3⋊#95C23semidirect
388. C3⋊#95C23semidirect
389. C3⋊#95C23semidirect
390. C3⋊#95C23semidirect
391. C3⋊#95C23semidirect
392. C3⋊#95C23semidirect
393. C3⋊#95C23semidirect
394. C3⋊#95C23semidirect
395. C3⋊#95C23semidirect
396. C3⋊#95C23semidirect
397. C3⋊#95C23semidirect
398. C3⋊#95C23semidirect
399. C3⋊#95C23semidirect
400. C3⋊#95C23semidirect
401. C3⋊#95C23semidirect
402. C3⋊#95C23semidirect
403. C3⋊#95C23semidirect
404. C3⋊#95C23semidirect
405. C3⋊#95C23semidirect
406. C3⋊#95C23semidirect
407. C3⋊#95C23semidirect
408. C3⋊#95C23semidirect
409. C3⋊#95C23semidirect
1825. C3#37848semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#3792
#841282
C2×#52472
#821292
#821282
#821162
#821132
#821122
#821112
#821102
#821072
#821062
#820992
#820972
#738592
#738562
#738432
#738422
#738412
#738402
#738392
#738382
#738362
#738312
#738302
#738292
#738262
#738212
#738202
#378483