Finite Group Databasebeta

← #11003483

Subgroups — #11003483

Order 768.

2186 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2849C211yesmaximal, characteristic, complemented
2#84031C211yesmaximal, characteristic, complemented
3C2×#5213C211yesmaximal, characteristic, complemented
4#82910C211yesmaximal, characteristic, complemented
5#82882C211yesmaximal, characteristic, complemented
6#82875C211yesmaximal, characteristic, complemented
7#82872C211yesmaximal, characteristic, complemented
8#82605C211yesmaximal, characteristic
9#82585C211yesmaximal, characteristic, complemented
10#74890C211yesmaximal, characteristic, complemented
11#74875C211yesmaximal, characteristic, complemented
12#74819C211yesmaximal, characteristic, complemented
13#74808C211yesmaximal, characteristic, complemented
14#74805C211yesmaximal, characteristic, complemented
15#74801C211yesmaximal, characteristic, complemented
16#74786C211yesmaximal, characteristic, complemented
17#74711C211yesmaximal, characteristic, complemented
18#74644C211yesmaximal, characteristic, complemented
19#74641C211yesmaximal, characteristic, complemented
20#74607C211yesmaximal, characteristic, complemented
21#74591C211yesmaximal, characteristic, complemented
22#74567C211yesmaximal, characteristic, complemented
23#74520C211yesmaximal, characteristic, complemented
24#74504C211yesmaximal, characteristic, complemented
25#74461C211yesmaximal, characteristic, complemented
26#74142C211yesmaximal, characteristic, complemented
27#74140C211yesmaximal, characteristic, complemented
28#74107C211yesmaximal, characteristic, complemented
29#74094C211yesmaximal, characteristic, complemented
30#73853C211yesmaximal, characteristic, complemented
31#73831C211yesmaximal, characteristic, complemented
32#36775—31nomaximal, Sylow
33C24×C3×C4C2211yescharacteristic
34C23×#67C2211yescharacteristic
35C2×C3×#123C2211yescharacteristic, complemented
36C2×C3×#123C2211yescharacteristic, complemented
37C2×C3×#120C2211yescharacteristic
38C22×#217C2211yescharacteristic
39C2×#938C2211yescharacteristic
40C2×#938C2211yescharacteristic
41C2×#937C2211yescharacteristic
42C2×#935C2211yescharacteristic, complemented
43C2×D4×Dic3C2211yescharacteristic
44C22×(C2×D3)⋊C4C2211yescharacteristic
45C22×(C2×D3)⋊C4C2211yescharacteristic
46C2×#924C2211yescharacteristic
47C2×#924C2211yescharacteristic, complemented
48C2×#924C2211yescharacteristic, complemented
49C2×#896C2211yescharacteristic, complemented
50C2×#883C2211yescharacteristic
51C2×#883C2211yescharacteristic
52C2×#883C2211yescharacteristic, complemented
53C2×D3×C22⋊C4C2211yescharacteristic
54C2×D3×C22⋊C4C2211yescharacteristic
55C2×#879C2211yescharacteristic, complemented
56C3×#386C2211yescharacteristic
57C3×#386C2211yescharacteristic
58C3×#386C2211yescharacteristic, complemented
59C3×#386C2211yescharacteristic, complemented
60C3×#385C2211yescharacteristic
61C3×#385C2211yescharacteristic
62C3×#385C2211yescharacteristic, complemented
63C3×#385C2211yescharacteristic, complemented
64C3×#381C2211yescharacteristic, complemented
65C3×#381C2211yescharacteristic, complemented
66C3×#379C2211yescharacteristic
67#5247C2211yescharacteristic
68#5247C2211yescharacteristic
69#5223C2211yescharacteristic
70#5223C2211yescharacteristic
71#5222C2211yescharacteristic, complemented
72#5222C2211yescharacteristic, complemented
73#5220C2211yescharacteristic
74#5220C2211yescharacteristic
75#5220C2211yescharacteristic, complemented
76#5213C2211yescharacteristic
77#5213C2211yescharacteristic
78#5213C2211yescharacteristic
79#5213C2211yescharacteristic
80#5213C2211yescharacteristic
81#5213C2211yescharacteristic
82#5213C2211yescharacteristic
83#5213C2211yescharacteristic
84#5212C2211yescharacteristic
85#5212C2211yescharacteristic, complemented
86#5212C2211yescharacteristic, complemented
87#5210C2211yescharacteristic
88#5210C2211yescharacteristic
89#5210C2211yescharacteristic, complemented
90#5210C2211yescharacteristic, complemented
91#5210C2211yescharacteristic, complemented
92#5210C2211yescharacteristic, complemented
93C2×C3⋊#95C2211yescharacteristic
94C2×C3⋊#95C2211yescharacteristic
95#4994C2211yescharacteristic, complemented
96#4993C2211yescharacteristic, complemented
97#4989C2211yescharacteristic, complemented
98#4989C2211yescharacteristic, complemented
99#4989C2211yescharacteristic, complemented
100#4987C2211yescharacteristic, complemented
101#4987C2211yescharacteristic, complemented
102#4986C2211yescharacteristic, complemented
103#4986C2211yescharacteristic, complemented
104#4985C2211yescharacteristic, complemented
105#4984C2211yescharacteristic, complemented
106#4983C2211yescharacteristic, complemented
107#4982C2211yescharacteristic, complemented
108#4981C2211yescharacteristic, complemented
109#4977C2211yescharacteristic, complemented
110#4961C2211yescharacteristic
111#4961C2211yescharacteristic
112#4961C2211yescharacteristic
113#4961C2211yescharacteristic
114#4961C2211yescharacteristic, complemented
115#4959C2211yescharacteristic
116#4959C2211yescharacteristic
117#4959C2211yescharacteristic, complemented
118#4958C2211yescharacteristic, complemented
119#4958C2211yescharacteristic, complemented
120#4957C2211yescharacteristic, complemented
121#4957C2211yescharacteristic, complemented
122#4956C2211yescharacteristic
123#4956C2211yescharacteristic
124#4956C2211yescharacteristic
125#4956C2211yescharacteristic
126#4956C2211yescharacteristic, complemented
127#4955C2211yescharacteristic
128#4953C2211yescharacteristic, complemented
129#4953C2211yescharacteristic, complemented
130#4953C2211yescharacteristic, complemented
131#4952C2211yescharacteristic, complemented
132#4952C2211yescharacteristic, complemented
133#4952C2211yescharacteristic, complemented
134#4952C2211yescharacteristic, complemented
135#4951C2211yescharacteristic, complemented
136#4950C2211yescharacteristic
137#4950C2211yescharacteristic
138#4950C2211yescharacteristic
139#4950C2211yescharacteristic, complemented
140#4949C2211yescharacteristic, complemented
141#4948C2211yescharacteristic, complemented
142#4948C2211yescharacteristic, complemented
143#4948C2211yescharacteristic, complemented
144#4947C2211yescharacteristic, complemented
145#4946C2211yescharacteristic
146#4946C2211yescharacteristic
147#4946C2211yescharacteristic
148#4945C2211yescharacteristic, complemented
149#4944C2211yescharacteristic, complemented
150#4944C2211yescharacteristic, complemented
151#4944C2211yescharacteristic, complemented
152#4942C2211yescharacteristic
153#4942C2211yescharacteristic
154#4942C2211yescharacteristic, complemented
155Dic3×C22⋊C4C2211yescharacteristic
156#4676C2211yescharacteristic, complemented
157#4675C2211yescharacteristic, complemented
158#4674C2211yescharacteristic, complemented
159#4673C2211yescharacteristic, complemented
160#4670C2211yescharacteristic, complemented
161#4670C2211yescharacteristic, complemented
162#4669C2211yescharacteristic, complemented
163#4669C2211yescharacteristic, complemented
164#4668C2211yescharacteristic, complemented
165#4668C2211yescharacteristic, complemented
166#4668C2211yescharacteristic, complemented
167#4668C2211yescharacteristic, complemented
168#4667C2211yescharacteristic, complemented
169#4667C2211yescharacteristic, complemented
170#4667C2211yescharacteristic, complemented
171#4664C2211yescharacteristic, complemented
172C3⋊#401C2211yescharacteristic, complemented
173#4661C2211yescharacteristic, complemented
174#4661C2211yescharacteristic, complemented
175#4660C2211yescharacteristic, complemented
176#4660C2211yescharacteristic, complemented
177#4660C2211yescharacteristic, complemented
178#4659C2211yescharacteristic, complemented
179#4659C2211yescharacteristic, complemented
180#4658C2211yescharacteristic, complemented
181#4658C2211yescharacteristic, complemented
182#4658C2211yescharacteristic, complemented
183#4657C2211yescharacteristic, complemented
184#4655C2211yescharacteristic, complemented
185#4654C2211yescharacteristic, complemented
186#4654C2211yescharacteristic, complemented
187#4646C2211yescharacteristic, complemented
188#2849D311yescharacteristic, complemented
189#2848—31no—
190#2782—31no—
191#2750—31no—
192#2746—31no—
193#2746—31no—
194#2743—31no—
195#2728—31no—
196#2708—31no—
197#2708—31no—
198#2706—31no—
199#2696—31no—
200#2695—31no—
201#2693—31no—
202#2693—31no—
203#2691—31no—
204#2687—31no—
205#2681—31no—
206#2646—31no—
207#2643—31no—
208#2505—31no—
209#2480—31no—
210#2450—31no—
211#2437—31no—
212#2418—31no—
213#2412—31no—
214#2410—31no—
215#2405—31no—
216#2321—31no—
217#2315—31no—
218C2×#386—31no—
219C25×C3C2311yescharacteristic
220C24×D3C2311yescharacteristic
221C22×C3×D4C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C23×C3×C4—42no—
225C23×C3×C4—42no—
226C23×C3×C4—42no—
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C23×C3×C4C2311yescharacteristic
233C22×#67—24no—
234C22×#67—42no—
235C22×#67—42no—
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C23×Dic3C2311yescharacteristic
244C23×Dic3C2311yescharacteristic
245C23×Dic3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×Dic6C2311yescharacteristic
251C3×#123—42no—
252C3×#123—42no—
253C3×#120—42no—
254C2×C3×C4⋊C4C2311yescharacteristic
255C2×C3×C4⋊C4C2311yescharacteristic
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C4⋊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×#217—42no—
272C2×#217C2311yescharacteristic
273C2×#217C2311yescharacteristic
274C2×#217C2311yescharacteristic
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
293#938—42no—
294#938—42no—
295#937—24no—
296#935—42no—
297D4×Dic3—42no—
298C2×(C2×D3)⋊C4—42no—
299C2×(C2×D3)⋊C4—42no—
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×C4⋊Dic3C2311yescharacteristic
319C2×C4⋊Dic3C2311yescharacteristic
320C2×C4⋊Dic3C2311yescharacteristic
321C2×C4⋊Dic3C2311yescharacteristic
322C2×C4⋊Dic3C2311yescharacteristic
323C2×C4⋊Dic3C2311yescharacteristic
324C2×C4⋊Dic3C2311yescharacteristic
325C2×C4⋊Dic3C2311yescharacteristic
326C2×C4⋊Dic3C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
328#924—42no—
329#924—42no—
330#924—42no—
331C2×Dic3⋊C4C2311yescharacteristic
332C2×Dic3⋊C4C2311yescharacteristic
333C2×Dic3⋊C4C2311yescharacteristic
334C2×Dic3⋊C4C2311yescharacteristic
335C2×Dic3⋊C4C2311yescharacteristic
336C2×Dic3⋊C4C2311yescharacteristic
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×C4×Dic3C2311yescharacteristic
348C2×C4×Dic3C2311yescharacteristic
349C2×C4×Dic3C2311yescharacteristic
350#896—42no—
351#883—42no—
352#883—42no—
353#883—42no—
354D3×C22⋊C4—24no—
355D3×C22⋊C4—42no—
356#879—42no—
357C3×#95C2311yescharacteristic
358C3×#95C2311yescharacteristic
359C3×#95C2311yescharacteristic
360C3×#95C2311yescharacteristic
361C3×#95C2311yescharacteristic
362C3×#95C2311yescharacteristic
363C3×#95C2311yescharacteristic
364C3×#95C2311yescharacteristic
365C3⋊#95C2311yescharacteristic
366C3⋊#95C2311yescharacteristic
367C3⋊#95C2311yescharacteristic
368C3⋊#95C2311yescharacteristic
369C3⋊#95C2311yescharacteristic
370C3⋊#95C2311yescharacteristic
371C3⋊#95C2311yescharacteristic
372C3⋊#95C2311yescharacteristic
373C3⋊#95C2311yescharacteristic
374C3⋊#95C2311yescharacteristic
375C3⋊#95C2311yescharacteristic
376C3⋊#95C2311yescharacteristic
377C3⋊#95C2311yescharacteristic
378C3⋊#95C2311yescharacteristic
379C3⋊#95C2311yescharacteristic
380C3⋊#95C2311yescharacteristic
381C3⋊#95C2311yescharacteristic
382C3⋊#95C2311yescharacteristic
383C3⋊#95C2311yescharacteristic
384C3⋊#95C2311yescharacteristic
385C3⋊#95C2311yescharacteristic
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
401C23×D4—31no—
402C24×C4C2×D311yescharacteristic
403C2×#126—31no—
404C2×#123—31no—
405C2×#123—31no—
406C2×#123—31no—
407C2×#123—31no—
408C2×#123C2×D311yescharacteristic, complemented
409C2×#123C2×D311yescharacteristic, complemented
410C2×C22⋊Q8—31no—
411C2×C22⋊Q8—31no—
412C2×C22⋊Q8—31no—
413C2×C22⋊Q8—31no—
414C2×#121—31no—
415C2×#121—31no—
416C2×#120—31no—
417C2×#120C2×D311yescharacteristic
418C2×C4×D4—31no—
419C22×C22⋊C4—31no—
420C22×C22⋊C4—31no—
421C22×C22⋊C4—31no—
422C22×C22⋊C4—31no—
423C22×C22⋊C4—31no—
424#401—31no—
425#400—31no—
426#400—31no—
427#400—31no—
428#400—31no—
429#400—31no—
430#400—31no—
431#400—31no—
432#400—31no—
433#400—31no—
434#400—31no—
435#400—31no—
436#399—31no—
437#399—31no—
438#398—31no—
439#398—31no—
440#398—31no—
441#398—31no—
442#398—31no—
443#398—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#396—31no—
454#396—31no—
455#396—31no—
456#396—31no—
457#396—31no—
458#394—31no—
459#394—31no—
460#394—31no—
461#394—31no—
462#394—31no—
463#394—31no—
464#394—31no—
465#394—31no—
466#394—31no—
467#394—31no—
468#393—31no—
469#393—31no—
470#392—31no—
471#392—31no—
472#391—31no—
473#390—31no—
474#390—31no—
475#389—31no—
476#388—31no—
477#388—31no—
478#388—31no—
479#388—31no—
480#388—31no—
481#388—31no—
482#388—31no—
483#388—31no—
484#388—31no—
485#387—31no—
486#387—31no—
487#387—31no—
488#386—31no—
489#386—31no—
490#386—31no—
491#386—31no—
492#386—31no—
493#386—31no—
494#386—31no—
495#386—31no—
496#386—31no—
497#386—31no—
498#386—31no—
499#386—31no—
500#386—31no—
501#386—31no—
502#386—31no—
503#386—31no—
504#386—31no—
505#386—31no—
506#386C2×D311yescharacteristic
507#386C2×D311yescharacteristic
508#386C2×D311yescharacteristic, complemented
509#386C2×D311yescharacteristic, complemented
510#385—31no—
511#385—31no—
512#385—31no—
513#385—31no—
514#385—31no—
515#385—31no—
516#385—31no—
517#385—31no—
518#385—31no—
519#385—31no—
520#385—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#385C2×D311yescharacteristic
531#385C2×D311yescharacteristic
532#385C2×D311yescharacteristic, complemented
533#385C2×D311yescharacteristic, complemented
534#382—31no—
535#381—31no—
536#381C2×D311yescharacteristic, complemented
537#381C2×D311yescharacteristic, complemented
538#380—31no—
539#380—31no—
540#380—31no—
541#380—31no—
542#380—31no—
543#380—31no—
544#380—31no—
545#380—31no—
546#380—31no—
547#380—31no—
548#380—31no—
549#379—31no—
550#379—31no—
551#379—31no—
552#379C2×D311yescharacteristic
553C4×C22⋊C4—31no—
554C2×#95—31no—
555C2×#95—31no—
556C24×C3—22no—
557C24×C3—22no—
558C24×C3—22no—
559C24×C3—22no—
560C24×C3—22no—
561C24×C3—41no—
562C24×C3—41no—
563C24×C3C2411yescharacteristic
564C24×C3C2411yescharacteristic
565C24×C3C2411yescharacteristic
566C24×C3C2411yescharacteristic
567C23×D3—22no—
568C23×D3—22no—
569C23×D3—41no—
570C23×D3—41no—
571C23×D3—41no—
572C23×D3—41no—
573C23×D3#4114yes—
574C23×D3C2411yescharacteristic
575C23×D3C2411yescharacteristic
576C2×C3×D4—22no—
577C2×C3×D4—22no—
578C2×C3×D4—22no—
579C2×C3×D4—22no—
580C2×C3×D4—22no—
581C2×C3×D4—41no—
582C2×C3×D4—41no—
583C2×C3×D4—41no—
584C2×C3×D4—41no—
585C22×C3×C4—22no—
586C22×C3×C4—22no—
587C22×C3×C4—22no—
588C22×C3×C4—22no—
589C22×C3×C4—22no—
590C22×C3×C4—22no—
591C22×C3×C4—22no—
592C22×C3×C4—41no—
593C22×C3×C4—41no—
594C22×C3×C4—41no—
595C22×C3×C4—41no—
596C22×C3×C4—41no—
597C22×C3×C4—41no—
598C22×C3×C4—41no—
599C22×C3×C4—41no—
600C22×C3×C4—41no—
601C22×C3×C4—41no—
602C22×C3×C4—41no—
603C22×C3×C4—416no—
604C22×C3×C4C2411yescharacteristic
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C2×#67—22no—
616C2×#67—22no—
617C2×#67—22no—
618C2×#67—22no—
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—41no—
626C2×#67—41no—
627C2×#67—41no—
628C2×#67—41no—
629C2×#67—41no—
630C2×#67—41no—
631C2×#67—41no—
632C2×#67—41no—
633C2×#67—416no—
634C22×Dic3—22no—
635C22×Dic3—22no—
636C22×Dic3—22no—
637C22×Dic3—41no—
638C22×Dic3—41no—
639C22×Dic3—41no—
640C22×Dic3—41no—
641C22×Dic3—41no—
642C22×Dic3—41no—
643C22×Dic3—41no—
644C22×Dic3—41no—
645C22×Dic3—41no—
646C22×Dic3C2411yescharacteristic
647C22×Dic3C2411yescharacteristic
648C22×Dic3C2411yescharacteristic
649C22×Dic3C2411yescharacteristic
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657C22×Dic3C2411yescharacteristic
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660C2×C4×D3—22no—
661C2×C4×D3—22no—
662C2×C4×D3—41no—
663C2×C4×D3—41no—
664C2×C4×D3—41no—
665C2×C4×D3—41no—
666C2×C4×D3—41no—
667C2×C4×D3—41no—
668C2×C4×D3—41no—
669C2×C4×D3—41no—
670C2×C4×D3—41no—
671C2×C4×D3—41no—
672C2×Dic6—22no—
673C2×Dic6—41no—
674C2×Dic6—41no—
675C3×C4⋊C4—22no—
676C3×C4⋊C4—41no—
677C3×C4⋊C4—41no—
678C3×C4⋊C4—41no—
679C3×C22⋊C4—22no—
680C3×C22⋊C4—22no—
681C3×C22⋊C4—22no—
682C3×C22⋊C4—22no—
683C3×C22⋊C4—22no—
684C3×C22⋊C4—22no—
685C3×C22⋊C4—41no—
686C3×C22⋊C4—41no—
687C3×C22⋊C4—41no—
688C3×C22⋊C4—41no—
689C3×C22⋊C4—41no—
690C3×C22⋊C4—41no—
691C3×C22⋊C4—41no—
692#217—22no—
693#217—22no—
694#217—22no—
695#217—22no—
696#217—22no—
697#217—22no—
698#217—22no—
699#217—22no—
700#217—22no—
701#217—22no—
702#217—41no—
703#217—41no—
704#217—41no—
705#217—41no—
706#217—41no—
707#217—41no—
708#217—41no—
709#217—41no—
710#217—41no—
711#217—41no—
712#217—41no—
713(C2×D3)⋊C4—22no—
714(C2×D3)⋊C4—22no—
715(C2×D3)⋊C4—22no—
716(C2×D3)⋊C4—22no—
717(C2×D3)⋊C4—22no—
718(C2×D3)⋊C4—22no—
719(C2×D3)⋊C4—41no—
720(C2×D3)⋊C4—41no—
721(C2×D3)⋊C4—41no—
722(C2×D3)⋊C4—41no—
723(C2×D3)⋊C4—41no—
724(C2×D3)⋊C4—41no—
725(C2×D3)⋊C4—41no—
726(C2×D3)⋊C4—41no—
727(C2×D3)⋊C4—41no—
728(C2×D3)⋊C4—41no—
729(C2×D3)⋊C4—41no—
730(C2×D3)⋊C4—41no—
731C4⋊Dic3—22no—
732C4⋊Dic3—41no—
733C4⋊Dic3—41no—
734C4⋊Dic3—41no—
735C4⋊Dic3—41no—
736C4⋊Dic3—41no—
737C4⋊Dic3—41no—
738C4⋊Dic3—41no—
739C4⋊Dic3—41no—
740C4⋊Dic3—41no—
741Dic3⋊C4—41no—
742Dic3⋊C4—41no—
743Dic3⋊C4—41no—
744Dic3⋊C4—41no—
745Dic3⋊C4—41no—
746Dic3⋊C4—41no—
747Dic3⋊C4—41no—
748Dic3⋊C4—41no—
749Dic3⋊C4—41no—
750Dic3⋊C4—41no—
751Dic3⋊C4—41no—
752Dic3⋊C4—41no—
753Dic3⋊C4—41no—
754Dic3⋊C4—41no—
755Dic3⋊C4—41no—
756Dic3⋊C4—41no—
757C4×Dic3—41no—
758C4×Dic3—41no—
759C4×Dic3—41no—
760C25—31no—
761C25C22×D311yescharacteristic
762C22×Q8—31no—
763C22×D4—31no—
764C22×D4—31no—
765C22×D4—31no—
766C22×D4—31no—
767C22×D4—31no—
768C22×D4—31no—
769C22×D4—64no—
770C22×D4—122no—
771C22×D4—122no—
772C22×D4C22×D311yescharacteristic
773C22×D4C22×D311yescharacteristic
774C22×D4C22×D311yescharacteristic
775C23×C4—31no—
776C23×C4—31no—
777C23×C4—31no—
778C23×C4—31no—
779C23×C4—31no—
780C23×C4—31no—
781C23×C4—31no—
782C23×C4—31no—
783C23×C4—42no—
784C23×C4—42no—
785C23×C4—42no—
786C23×C4C22×D311yescharacteristic
787C23×C4C22×D311yescharacteristic
788C23×C4C22×D311yescharacteristic
789C23×C4C22×D311yescharacteristic
790C23×C4C22×D311yescharacteristic
791C23×C4C22×D311yescharacteristic
792#126—122no—
793#123—42no—
794#123—42no—
795#123—122no—
796#123—122no—
797#123—122no—
798#123—122no—
799C22⋊Q8—122no—
800C22⋊Q8—122no—
801C22⋊Q8—122no—
802C22⋊Q8—122no—
803#121—122no—
804#121—122no—
805#120—42no—
806#120—64no—
807C4×D4—122no—
808C2×C4⋊C4—31no—
809C2×C4⋊C4—31no—
810C2×C4⋊C4—31no—
811C2×C4⋊C4—31no—
812C2×C4⋊C4—31no—
813C2×C4⋊C4—31no—
814C2×C4⋊C4—31no—
815C2×C4⋊C4—31no—
816C2×C4⋊C4—31no—
817C2×C4⋊C4—31no—
818C2×C4⋊C4—31no—
819C2×C4⋊C4—31no—
820C2×C4⋊C4—31no—
821C2×C4⋊C4—31no—
822C2×C4⋊C4—31no—
823C2×C4⋊C4—31no—
824C2×C4⋊C4—31no—
825C2×C4⋊C4—31no—
826C2×C4⋊C4—31no—
827C2×C4⋊C4—31no—
828C2×C4⋊C4—31no—
829C2×C4⋊C4—31no—
830C2×C4⋊C4—31no—
831C2×C4⋊C4—31no—
832C2×C4⋊C4—31no—
833C2×C4⋊C4—31no—
834C2×C4⋊C4C22×D311yescharacteristic
835C2×C4⋊C4C22×D311yescharacteristic
836C2×C4⋊C4C22×D311yescharacteristic
837C2×C4⋊C4C22×D311yescharacteristic
838C2×C22⋊C4—31no—
839C2×C22⋊C4—31no—
840C2×C22⋊C4—31no—
841C2×C22⋊C4—31no—
842C2×C22⋊C4—31no—
843C2×C22⋊C4—31no—
844C2×C22⋊C4—31no—
845C2×C22⋊C4—31no—
846C2×C22⋊C4—31no—
847C2×C22⋊C4—31no—
848C2×C22⋊C4—31no—
849C2×C22⋊C4—31no—
850C2×C22⋊C4—31no—
851C2×C22⋊C4—31no—
852C2×C22⋊C4—31no—
853C2×C22⋊C4—31no—
854C2×C22⋊C4—31no—
855C2×C22⋊C4—31no—
856C2×C22⋊C4—31no—
857C2×C22⋊C4—31no—
858C2×C22⋊C4—31no—
859C2×C22⋊C4—31no—
860C2×C22⋊C4—31no—
861C2×C22⋊C4—31no—
862C2×C22⋊C4—31no—
863C2×C22⋊C4—31no—
864C2×C22⋊C4—31no—
865C2×C22⋊C4—31no—
866C2×C22⋊C4—31no—
867C2×C22⋊C4—31no—
868C2×C22⋊C4—31no—
869C2×C22⋊C4—31no—
870C2×C22⋊C4—31no—
871C2×C22⋊C4—31no—
872C2×C22⋊C4—31no—
873C2×C22⋊C4—31no—
874C2×C22⋊C4—31no—
875C2×C22⋊C4—31no—
876C2×C22⋊C4—31no—
877C2×C22⋊C4—64no—
878C2×C22⋊C4—122no—
879C2×C22⋊C4—122no—
880C2×C22⋊C4—122no—
881C2×C22⋊C4—122no—
882C2×C22⋊C4C22×D311yescharacteristic
883C2×C22⋊C4C22×D311yescharacteristic
884C2×C22⋊C4C22×D311yescharacteristic
885C2×C22⋊C4C22×D311yescharacteristic
886C2×C22⋊C4C22×D311yescharacteristic
887C2×C22⋊C4C22×D311yescharacteristic
888C2×C22⋊C4C22×D311yescharacteristic
889C2×C22⋊C4C22×D311yescharacteristic
890C2×C22⋊C4C22×D311yescharacteristic
891C2×C22⋊C4C22×D311yescharacteristic
892C2×C22⋊C4C22×D311yescharacteristic
893C2×C22⋊C4C22×D311yescharacteristic
894C2×C22⋊C4C22×D311yescharacteristic
895C2×C42—31no—
896C2×C42—31no—
897C2×C42—31no—
898#95—31no—
899#95—31no—
900#95—31no—
901#95—31no—
902#95—31no—
903#95—31no—
904#95—31no—
905#95—31no—
906#95—31no—
907#95—31no—
908#95—31no—
909#95—31no—
910#95—31no—
911#95—31no—
912#95—31no—
913#95—31no—
914#95—31no—
915#95—31no—
916#95—31no—
917#95—31no—
918#95—31no—
919#95—31no—
920#95—31no—
921#95—31no—
922#95—31no—
923#95—31no—
924#95—31no—
925#95—31no—
926#95—31no—
927#95—31no—
928#95—31no—
929#95—31no—
930#95—31no—
931#95—31no—
932#95—31no—
933#95—31no—
934#95C22×D311yescharacteristic
935#95C22×D311yescharacteristic
936#95C22×D311yescharacteristic
937#95C22×D311yescharacteristic
938#95C22×D311yescharacteristic
939#95C22×D311yescharacteristic
940#95C22×D311yescharacteristic
941#95C22×D311yescharacteristic
942C23×C3—21no—
943C23×C3—21no—
944C23×C3—21no—
945C23×C3—21no—
946C23×C3—28no—
947C23×C3—21no—
948C23×C3—21no—
949C23×C3—21no—
950C23×C3—21no—
951C23×C3—21no—
952C23×C3—21no—
953C23×C3—21no—
954C23×C3—21no—
955C23×C3—21no—
956C23×C3—21no—
957C23×C3—21no—
958C23×C3—21no—
959C23×C3—21no—
960C23×C3—21no—
961C23×C3—21no—
962C23×C3—21no—
963C23×C3—21no—
964C23×C3—21no—
965C23×C3—21no—
966C23×C3—44no—
967C23×C3—44no—
968C23×C3—44no—
969C23×C3—44no—
970C23×C3—44no—
971C23×C3—44no—
972C23×C3C2×#4112yes—
973C23×C3H(5,𝔽2)12yes—
974C23×C3H(5,𝔽2)12yes—
975C23×C3H(5,𝔽2)12yes—
976C23×C32−1+412yes—
977C23×C3C2511yescharacteristic
978C22×D3—21no—
979C22×D3—21no—
980C22×D3—21no—
981C22×D3—21no—
982C22×D3—21no—
983C22×D3—21no—
984C22×D3—21no—
985C22×D3—21no—
986C22×D3—21no—
987C22×D3—21no—
988C22×D3—21no—
989C22×D3—21no—
990C22×D3—28no—
991C22×D3—44no—
992C22×D3—44no—
993C22×D3—82no—
994C22×D3—82no—
995C22×D3—82no—
996C22×D3—82no—
997C22×D3C2×#4112yes—
998C22×D3C2×#4112yes—
999C3×D4—44no—
1000C3×D4—82no—
1001C3×D4—82no—
1002C2×C3×C4—21no—
1003C2×C3×C4—21no—
1004C2×C3×C4—21no—
1005C2×C3×C4—21no—
1006C2×C3×C4—21no—
1007C2×C3×C4—21no—
1008C2×C3×C4—21no—
1009C2×C3×C4—21no—
1010C2×C3×C4—21no—
1011C2×C3×C4—21no—
1012C2×C3×C4—21no—
1013C2×C3×C4—21no—
1014C2×C3×C4—21no—
1015C2×C3×C4—21no—
1016C2×C3×C4—21no—
1017C2×C3×C4—21no—
1018C2×C3×C4—21no—
1019C2×C3×C4—21no—
1020C2×C3×C4—21no—
1021C2×C3×C4—21no—
1022C2×C3×C4—21no—
1023C2×C3×C4—21no—
1024C2×C3×C4—21no—
1025C2×C3×C4—21no—
1026C2×C3×C4—21no—
1027C2×C3×C4—21no—
1028C2×C3×C4—21no—
1029C2×C3×C4—21no—
1030C2×C3×C4—21no—
1031C2×C3×C4—21no—
1032C2×C3×C4—21no—
1033C2×C3×C4—21no—
1034C2×C3×C4—44no—
1035C2×C3×C4—44no—
1036C2×C3×C4—44no—
1037C2×C3×C4—44no—
1038C2×C3×C4—44no—
1039C2×C3×C4—44no—
1040C2×C3×C4H(5,𝔽2)12yes—
1041#67—44no—
1042#67—44no—
1043#67—44no—
1044#67—44no—
1045#67—82no—
1046#67—82no—
1047C2×Dic3—21no—
1048C2×Dic3—21no—
1049C2×Dic3—21no—
1050C2×Dic3—21no—
1051C2×Dic3—21no—
1052C2×Dic3—21no—
1053C2×Dic3—21no—
1054C2×Dic3—21no—
1055C2×Dic3—21no—
1056C2×Dic3—21no—
1057C2×Dic3—21no—
1058C2×Dic3—21no—
1059C2×Dic3—21no—
1060C2×Dic3—21no—
1061C2×Dic3—21no—
1062C2×Dic3—21no—
1063C2×Dic3—21no—
1064C2×Dic3—21no—
1065C2×Dic3—21no—
1066C2×Dic3—21no—
1067C2×Dic3—21no—
1068C2×Dic3—21no—
1069C2×Dic3—21no—
1070C2×Dic3—21no—
1071C2×Dic3—21no—
1072C2×Dic3—21no—
1073C2×Dic3—21no—
1074C2×Dic3—21no—
1075C2×Dic3—21no—
1076C2×Dic3—21no—
1077C2×Dic3—21no—
1078C2×Dic3—21no—
1079C2×Dic3—21no—
1080C2×Dic3—21no—
1081C2×Dic3—21no—
1082C2×Dic3—21no—
1083C2×Dic3—21no—
1084C2×Dic3—21no—
1085C2×Dic3—21no—
1086C2×Dic3—21no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—44no—
1090C2×Dic3—82no—
1091C2×Dic3—82no—
1092C2×Dic3—82no—
1093C4×D3—82no—
1094C4×D3—82no—
1095C4×D3—82no—
1096C4×D3—82no—
1097Dic6—82no—
1098C24—22no—
1099C24—22no—
1100C24—22no—
1101C24—22no—
1102C24—22no—
1103C24—31no—
1104C24—31no—
1105C24—34no—
1106C24—41no—
1107C24—41no—
1108C24—62no—
1109C24—62no—
1110C24—121no—
1111C24—121no—
1112C24—121no—
1113C24—121no—
1114C24C23×D311yescharacteristic
1115C24C23×D311yescharacteristic
1116C24C23×D311yescharacteristic
1117C24C23×D311yescharacteristic
1118C2×Q8—62no—
1119C2×Q8—121no—
1120C2×Q8—121no—
1121C2×D4—22no—
1122C2×D4—22no—
1123C2×D4—22no—
1124C2×D4—22no—
1125C2×D4—22no—
1126C2×D4—41no—
1127C2×D4—41no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—62no—
1131C2×D4—62no—
1132C2×D4—62no—
1133C2×D4—62no—
1134C2×D4—62no—
1135C2×D4—62no—
1136C2×D4—62no—
1137C2×D4—62no—
1138C2×D4—62no—
1139C2×D4—62no—
1140C2×D4—121no—
1141C2×D4—121no—
1142C2×D4—121no—
1143C2×D4—121no—
1144C2×D4—121no—
1145C2×D4—121no—
1146C2×D4—121no—
1147C2×D4—121no—
1148C2×D4—1216no—
1149C22×C4—22no—
1150C22×C4—22no—
1151C22×C4—22no—
1152C22×C4—22no—
1153C22×C4—22no—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—31no—
1157C22×C4—31no—
1158C22×C4—31no—
1159C22×C4—31no—
1160C22×C4—31no—
1161C22×C4—31no—
1162C22×C4—31no—
1163C22×C4—31no—
1164C22×C4—31no—
1165C22×C4—31no—
1166C22×C4—31no—
1167C22×C4—31no—
1168C22×C4—31no—
1169C22×C4—31no—
1170C22×C4—41no—
1171C22×C4—41no—
1172C22×C4—41no—
1173C22×C4—41no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4—41no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—416no—
1182C22×C4—62no—
1183C22×C4—62no—
1184C22×C4—62no—
1185C22×C4—62no—
1186C22×C4—62no—
1187C22×C4—121no—
1188C22×C4—121no—
1189C22×C4—121no—
1190C22×C4—121no—
1191C22×C4—121no—
1192C22×C4—121no—
1193C22×C4—121no—
1194C22×C4—121no—
1195C22×C4—121no—
1196C22×C4—121no—
1197C22×C4—121no—
1198C22×C4—121no—
1199C22×C4—121no—
1200C22×C4—121no—
1201C22×C4—121no—
1202C22×C4—121no—
1203C22×C4—121no—
1204C22×C4—121no—
1205C22×C4—121no—
1206C22×C4C23×D311yescharacteristic
1207C22×C4C23×D311yescharacteristic
1208C22×C4C23×D311yescharacteristic
1209C22×C4C23×D311yescharacteristic
1210C22×C4C23×D311yescharacteristic
1211C22×C4C23×D311yescharacteristic
1212C22×C4C23×D311yescharacteristic
1213C22×C4C23×D311yescharacteristic
1214C22×C4C23×D311yescharacteristic
1215C22×C4C23×D311yescharacteristic
1216C22×C4C23×D311yescharacteristic
1217C4⋊C4—22no—
1218C4⋊C4—41no—
1219C4⋊C4—41no—
1220C4⋊C4—41no—
1221C4⋊C4—62no—
1222C4⋊C4—121no—
1223C4⋊C4—121no—
1224C4⋊C4—121no—
1225C4⋊C4—121no—
1226C4⋊C4—121no—
1227C4⋊C4—121no—
1228C4⋊C4—121no—
1229C4⋊C4—121no—
1230C4⋊C4—121no—
1231C4⋊C4—121no—
1232C4⋊C4—121no—
1233C4⋊C4—121no—
1234C4⋊C4—121no—
1235C4⋊C4—121no—
1236C4⋊C4—121no—
1237C4⋊C4—121no—
1238C4⋊C4—121no—
1239C4⋊C4—121no—
1240C4⋊C4—121no—
1241C4⋊C4—121no—
1242C4⋊C4—121no—
1243C4⋊C4—121no—
1244C4⋊C4—121no—
1245C4⋊C4—121no—
1246C4⋊C4—121no—
1247C22⋊C4—22no—
1248C22⋊C4—22no—
1249C22⋊C4—22no—
1250C22⋊C4—22no—
1251C22⋊C4—22no—
1252C22⋊C4—22no—
1253C22⋊C4—41no—
1254C22⋊C4—41no—
1255C22⋊C4—41no—
1256C22⋊C4—41no—
1257C22⋊C4—41no—
1258C22⋊C4—41no—
1259C22⋊C4—41no—
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⋊C4—121no—
1286C22⋊C4—121no—
1287C22⋊C4—121no—
1288C22⋊C4—121no—
1289C22⋊C4—121no—
1290C22⋊C4—121no—
1291C22⋊C4—121no—
1292C22⋊C4—121no—
1293C22⋊C4—121no—
1294C22⋊C4—121no—
1295C22⋊C4—121no—
1296C22⋊C4—121no—
1297C22⋊C4—121no—
1298C22⋊C4—121no—
1299C42—121no—
1300C42—121no—
1301C42—121no—
1302C22×C3—22no—
1303C22×C3—22no—
1304C22×C3—22no—
1305C22×C3—22no—
1306C22×C3—22no—
1307C22×C3—22no—
1308C22×C3—22no—
1309C22×C3—22no—
1310C22×C3—22no—
1311C22×C3—22no—
1312C22×C3—22no—
1313C22×C3—22no—
1314C22×C3—416no—
1315C22×C3—41no—
1316C22×C3—41no—
1317C22×C3—41no—
1318C22×C3—41no—
1319C22×C3—41no—
1320C22×C3—41no—
1321C22×C3—41no—
1322C22×C3—41no—
1323C22×C3—41no—
1324C22×C3—41no—
1325C22×C3—41no—
1326C22×C3—41no—
1327C22×C3—41no—
1328C22×C3—41no—
1329C22×C3—41no—
1330C22×C3#53914yes—
1331C22×C3C22×#4111yescharacteristic
1332C22×C3C2×H(5,𝔽2)11yescharacteristic
1333C22×C3C2×H(5,𝔽2)11yescharacteristic
1334C22×C3C2×H(5,𝔽2)11yescharacteristic
1335C22×C3C2×H(5,𝔽2)11yescharacteristic
1336C22×C3C2×2−1+411yescharacteristic
1337C22×C3#58511yescharacteristic
1338C2×D3—22no—
1339C2×D3—22no—
1340C2×D3—22no—
1341C2×D3—22no—
1342C2×D3—22no—
1343C2×D3—22no—
1344C2×D3—41no—
1345C2×D3—41no—
1346C2×D3—41no—
1347C2×D3—41no—
1348C2×D3—41no—
1349C2×D3—41no—
1350C2×D3—41no—
1351C2×D3—41no—
1352C2×D3—88no—
1353C3×C4—22no—
1354C3×C4—41no—
1355C3×C4—41no—
1356C3×C4—41no—
1357C3×C4—41no—
1358C3×C4—41no—
1359C3×C4—41no—
1360C3×C4—41no—
1361C3×C4—41no—
1362C3×C4—41no—
1363C3×C4—41no—
1364Dic3—41no—
1365Dic3—41no—
1366Dic3—41no—
1367Dic3—41no—
1368Dic3—41no—
1369Dic3—41no—
1370Dic3—41no—
1371Dic3—41no—
1372Dic3—41no—
1373Dic3—41no—
1374Dic3—41no—
1375Dic3—41no—
1376Dic3—41no—
1377Dic3—41no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—28no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—32no—
1403C23—32no—
1404C23—44no—
1405C23—44no—
1406C23—44no—
1407C23—44no—
1408C23—44no—
1409C23—44no—
1410C23—61no—
1411C23—61no—
1412C23—61no—
1413C23—61no—
1414C23—61no—
1415C23—61no—
1416C23—61no—
1417C23—61no—
1418C23—61no—
1419C23—61no—
1420C23—61no—
1421C23—61no—
1422C23—68no—
1423C23—124no—
1424C23—124no—
1425C23—242no—
1426C23—242no—
1427C23—242no—
1428C23—242no—
1429C23#100412yes—
1430C23#100412yes—
1431C23D3×#4112yes—
1432C23#100912yes—
1433C23#101012yes—
1434C23C24×D311yescharacteristic
1435Q8—242no—
1436D4—44no—
1437D4—82no—
1438D4—82no—
1439D4—124no—
1440D4—124no—
1441D4—124no—
1442D4—124no—
1443D4—242no—
1444D4—242no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—44no—
1478C2×C4—44no—
1479C2×C4—44no—
1480C2×C4—44no—
1481C2×C4—44no—
1482C2×C4—44no—
1483C2×C4—61no—
1484C2×C4—61no—
1485C2×C4—61no—
1486C2×C4—61no—
1487C2×C4—61no—
1488C2×C4—61no—
1489C2×C4—61no—
1490C2×C4—61no—
1491C2×C4—61no—
1492C2×C4—61no—
1493C2×C4—61no—
1494C2×C4—61no—
1495C2×C4—61no—
1496C2×C4—61no—
1497C2×C4—61no—
1498C2×C4—61no—
1499C2×C4—61no—
1500C2×C4—61no—
1501C2×C4—61no—
1502C2×C4—61no—
1503C2×C4—61no—
1504C2×C4—61no—
1505C2×C4—61no—
1506C2×C4—61no—
1507C2×C4—61no—
1508C2×C4—61no—
1509C2×C4—61no—
1510C2×C4—61no—
1511C2×C4—61no—
1512C2×C4—61no—
1513C2×C4—61no—
1514C2×C4—61no—
1515C2×C4—61no—
1516C2×C4—61no—
1517C2×C4—61no—
1518C2×C4—61no—
1519C2×C4—61no—
1520C2×C4—61no—
1521C2×C4—61no—
1522C2×C4—61no—
1523C2×C4—61no—
1524C2×C4—61no—
1525C2×C4—124no—
1526C2×C4—242no—
1527C2×C4—242no—
1528C2×C4—242no—
1529C2×C4—242no—
1530C2×C4—242no—
1531C2×C4—242no—
1532C2×C4—242no—
1533C2×C4#100412yes—
1534C2×C3—24no—
1535C2×C3—42no—
1536C2×C3—42no—
1537C2×C3—81no—
1538C2×C3C2×#53911yescharacteristic
1539C2×C3#349011yescharacteristic
1540C2×C3#350511yescharacteristic
1541C2×C3#353211yescharacteristic
1542C2×C3#353411yescharacteristic
1543C2×C3#353511yescharacteristic
1544C2×C3#353611yescharacteristic
1545D3—42no—
1546D3—42no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—22no—
1559C22—416no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—62no—
1576C22—62no—
1577C22—62no—
1578C22—62no—
1579C22—62no—
1580C22—62no—
1581C22—121no—
1582C22—121no—
1583C22—121no—
1584C22—121no—
1585C22—121no—
1586C22—121no—
1587C22—121no—
1588C22—121no—
1589C22—248no—
1590C22#566014yes—
1591C22C2×#100411yescharacteristic
1592C22C2×#100411yescharacteristic
1593C22C2×#100411yescharacteristic
1594C22C2×D3×#4111yescharacteristic
1595C22C2×#100911yescharacteristic
1596C22C2×#101011yescharacteristic
1597C22#596411yescharacteristic
1598C4—22no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—121no—
1610C4—121no—
1611C4—121no—
1612C4—121no—
1613C4—121no—
1614C4—121no—
1615C4—121no—
1616C4—121no—
1617C4—121no—
1618C4—121no—
1619C4—121no—
1620C4—121no—
1621C4—121no—
1622C4—121no—
1623C3#3677511yescharacteristic, complemented, Sylow
1624C2—24no—
1625C2—42no—
1626C2—42no—
1627C2—81no—
1628C2—122no—
1629C2—122no—
1630C2#8592111yescharacteristic
1631C2C2×#566011yescharacteristic
1632C2#8601711yescharacteristic
1633C2#8603011yescharacteristic
1634C2#8604311yescharacteristic
1635C2#8604411yescharacteristic
1636C2#8605111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2849C2
prime radical#82605C2
hypercenter#2849D3
hypocenterC3#36775
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2849

Complements

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

NH ≅ G/Ntype
1. C3×#2849C2semidirect
2. #84031C2semidirect
3. C2×#5213C2semidirect
4. #82910C2semidirect
5. #82882C2semidirect
6. #82875C2semidirect
7. #82872C2semidirect
9. #82585C2semidirect
10. #74890C2semidirect
11. #74875C2semidirect
12. #74819C2semidirect
13. #74808C2semidirect
14. #74805C2semidirect
15. #74801C2semidirect
16. #74786C2semidirect
17. #74711C2semidirect
18. #74644C2semidirect
19. #74641C2semidirect
20. #74607C2semidirect
21. #74591C2semidirect
22. #74567C2semidirect
23. #74520C2semidirect
24. #74504C2semidirect
25. #74461C2semidirect
26. #74142C2semidirect
27. #74140C2semidirect
28. #74107C2semidirect
29. #74094C2semidirect
30. #73853C2semidirect
31. #73831C2semidirect
35. C2×C3×#123C22semidirect
36. C2×C3×#123C22semidirect
42. C2×#935C22semidirect
47. C2×#924C22semidirect
48. C2×#924C22semidirect
49. C2×#896C22semidirect
52. C2×#883C22semidirect
55. C2×#879C22semidirect
58. C3×#386C22semidirect
59. C3×#386C22semidirect
62. C3×#385C22semidirect
63. C3×#385C22semidirect
64. C3×#381C22semidirect
65. C3×#381C22semidirect
71. #5222C22semidirect
72. #5222C22semidirect
75. #5220C22semidirect
85. #5212C22semidirect
86. #5212C22semidirect
89. #5210C22semidirect
90. #5210C22semidirect
91. #5210C22semidirect
92. #5210C22semidirect
95. #4994C22semidirect
96. #4993C22semidirect
97. #4989C22semidirect
98. #4989C22semidirect
99. #4989C22semidirect
100. #4987C22semidirect
101. #4987C22semidirect
102. #4986C22semidirect
103. #4986C22semidirect
104. #4985C22semidirect
105. #4984C22semidirect
106. #4983C22semidirect
107. #4982C22semidirect
108. #4981C22semidirect
109. #4977C22semidirect
114. #4961C22semidirect
117. #4959C22semidirect
118. #4958C22semidirect
119. #4958C22semidirect
120. #4957C22semidirect
121. #4957C22semidirect
126. #4956C22semidirect
128. #4953C22semidirect
129. #4953C22semidirect
130. #4953C22semidirect
131. #4952C22semidirect
132. #4952C22semidirect
133. #4952C22semidirect
134. #4952C22semidirect
135. #4951C22semidirect
139. #4950C22semidirect
140. #4949C22semidirect
141. #4948C22semidirect
142. #4948C22semidirect
143. #4948C22semidirect
144. #4947C22semidirect
148. #4945C22semidirect
149. #4944C22semidirect
150. #4944C22semidirect
151. #4944C22semidirect
154. #4942C22semidirect
156. #4676C22semidirect
157. #4675C22semidirect
158. #4674C22semidirect
159. #4673C22semidirect
160. #4670C22semidirect
161. #4670C22semidirect
162. #4669C22semidirect
163. #4669C22semidirect
164. #4668C22semidirect
165. #4668C22semidirect
166. #4668C22semidirect
167. #4668C22semidirect
168. #4667C22semidirect
169. #4667C22semidirect
170. #4667C22semidirect
171. #4664C22semidirect
172. C3⋊#401C22semidirect
173. #4661C22semidirect
174. #4661C22semidirect
175. #4660C22semidirect
176. #4660C22semidirect
177. #4660C22semidirect
178. #4659C22semidirect
179. #4659C22semidirect
180. #4658C22semidirect
181. #4658C22semidirect
182. #4658C22semidirect
183. #4657C22semidirect
184. #4655C22semidirect
185. #4654C22semidirect
186. #4654C22semidirect
187. #4646C22semidirect
188. #2849D3semidirect
408. C2×#123C2×D3semidirect
409. C2×#123C2×D3semidirect
508. #386C2×D3semidirect
509. #386C2×D3semidirect
532. #385C2×D3semidirect
533. #385C2×D3semidirect
536. #381C2×D3semidirect
537. #381C2×D3semidirect
1623. C3#36775semidirect

Maximal subgroups

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

subgroupindex
C3×#28492
#840312
C2×#52132
#829102
#828822
#828752
#828722
#826052
#825852
#748902
#748752
#748192
#748082
#748052
#748012
#747862
#747112
#746442
#746412
#746072
#745912
#745672
#745202
#745042
#744612
#741422
#741402
#741072
#740942
#738532
#738312
#367753