Finite Group Databasebeta

← #11225920

Subgroups — #11225920

Order 768.

1946 conjugacy classes of subgroups.

The subgroup lattice has 1544 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2752C211yesmaximal, characteristic, complemented
2#78077C211yesmaximal, characteristic, complemented
3#78037C211yesmaximal, characteristic, complemented
4#77718C211yesmaximal, characteristic, complemented
5#77712C211yesmaximal, characteristic, complemented
6#77469C211yesmaximal, characteristic, complemented
7#77461C211yesmaximal, characteristic, complemented
8#77044C211yesmaximal, characteristic, complemented
9#77026C211yesmaximal, characteristic, complemented
10#76935C211yesmaximal, characteristic, complemented
11#76900C211yesmaximal, characteristic, complemented
12#76680C211yesmaximal, characteristic, complemented
13#76672C211yesmaximal, characteristic
14#76400C211yesmaximal, characteristic, complemented
15#76343C211yesmaximal, characteristic, complemented
16#76306C211yesmaximal, characteristic, complemented
17#76301C211yesmaximal, characteristic, complemented
18#75867C211yesmaximal, characteristic, complemented
19#75550C211yesmaximal, characteristic, complemented
20#75512C211yesmaximal, characteristic, complemented
21#75462C211yesmaximal, characteristic, complemented
22#75360C211yesmaximal, characteristic, complemented
23#75346C211yesmaximal, characteristic, complemented
24#74987C211yesmaximal, characteristic, complemented
25#74963C211yesmaximal, characteristic, complemented
26#74817C211yesmaximal, characteristic, complemented
27#74763C211yesmaximal, characteristic, complemented
28#74708C211yesmaximal, characteristic, complemented
29#74672C211yesmaximal, characteristic, complemented
30#74076C211yesmaximal, characteristic, complemented
31#74055C211yesmaximal, characteristic, complemented
32#44998—31nomaximal, Sylow
33C22×#237C2211yescharacteristic
34C2×#940C2211yescharacteristic
35C2×#939C2211yescharacteristic
36C2×#936C2211yescharacteristic
37C2×#935C2211yescharacteristic
38C2×D4×Dic3C2211yescharacteristic
39C2×#929C2211yescharacteristic
40C2×C4×#67C2211yescharacteristic
41C2×#896C2211yescharacteristic
42C2×#896C2211yescharacteristic
43C2×#888C2211yescharacteristic
44C2×#887C2211yescharacteristic
45C2×#885C2211yescharacteristic
46C2×#885C2211yescharacteristic
47C2×#883C2211yescharacteristic
48C2×#883C2211yescharacteristic
49C2×#67⋊C4C2211yescharacteristic
50C2×#67⋊C4C2211yescharacteristic
51C2×#878C2211yescharacteristic
52C2×#878C2211yescharacteristic
53C2×C4×D12C2211yescharacteristic
54C2×C4×Dic6C2211yescharacteristic
55C3×#399C2211yescharacteristic
56C3×#397C2211yescharacteristic
57C3×#397C2211yescharacteristic
58C3×#394C2211yescharacteristic
59C3×#394C2211yescharacteristic
60C3×#392C2211yescharacteristic
61C3×#390C2211yescharacteristic
62C3×#390C2211yescharacteristic
63C3×#388C2211yescharacteristic
64C3×#388C2211yescharacteristic
65C3×#387C2211yescharacteristic
66C3×#387C2211yescharacteristic
67C3×#386C2211yescharacteristic
68C3×#386C2211yescharacteristic
69C3×#381C2211yescharacteristic
70#5223C2211yescharacteristic
71#5223C2211yescharacteristic
72#5222C2211yescharacteristic
73#5221C2211yescharacteristic
74#5220C2211yescharacteristic
75#5220C2211yescharacteristic
76#5212C2211yescharacteristic
77C2×C3⋊#95C2211yescharacteristic
78#4993C2211yescharacteristic
79#4993C2211yescharacteristic
80#4990C2211yescharacteristic
81#4989C2211yescharacteristic
82#4989C2211yescharacteristic
83#4988C2211yescharacteristic
84#4987C2211yescharacteristic
85#4986C2211yescharacteristic
86#4985C2211yescharacteristic
87#4982C2211yescharacteristic
88#4980C2211yescharacteristic
89#4980C2211yescharacteristic
90#4978C2211yescharacteristic
91#4975C2211yescharacteristic
92#4975C2211yescharacteristic
93Dic3×C4⋊C4C2211yescharacteristic
94#4961C2211yescharacteristic
95#4961C2211yescharacteristic
96#4961C2211yescharacteristic
97#4960C2211yescharacteristic
98#4959C2211yescharacteristic
99#4958C2211yescharacteristic
100#4958C2211yescharacteristic
101#4958C2211yescharacteristic
102#4957C2211yescharacteristic
103#4957C2211yescharacteristic
104#4957C2211yescharacteristic
105#4957C2211yescharacteristic
106#4957C2211yescharacteristic
107#4957C2211yescharacteristic
108#4957C2211yescharacteristic
109#4957C2211yescharacteristic
110#4956C2211yescharacteristic
111#4956C2211yescharacteristic
112#4956C2211yescharacteristic
113#4956C2211yescharacteristic
114#4956C2211yescharacteristic
115#4952C2211yescharacteristic
116#4952C2211yescharacteristic
117#4952C2211yescharacteristic
118#4951C2211yescharacteristic
119#4951C2211yescharacteristic
120#4950C2211yescharacteristic
121#4950C2211yescharacteristic
122#4949C2211yescharacteristic
123#4949C2211yescharacteristic
124#4948C2211yescharacteristic
125#4948C2211yescharacteristic
126#4948C2211yescharacteristic
127#4947C2211yescharacteristic
128#4946C2211yescharacteristic
129#4945C2211yescharacteristic
130#4945C2211yescharacteristic
131#4945C2211yescharacteristic
132#4944C2211yescharacteristic
133#4944C2211yescharacteristic
134#4943C2211yescharacteristic
135#4942C2211yescharacteristic
136#4942C2211yescharacteristic
137#4942C2211yescharacteristic
138Dic3×C22⋊C4C2211yescharacteristic
139Dic3×C22⋊C4C2211yescharacteristic
140Dic3×C22⋊C4C2211yescharacteristic
141Dic3×C22⋊C4C2211yescharacteristic
142#4940C2211yescharacteristic
143C4×(C2×D3)⋊C4C2211yescharacteristic
144#4933C2211yescharacteristic
145C4×Dic3⋊C4C2211yescharacteristic
146C4×Dic3⋊C4C2211yescharacteristic
147#4929C2211yescharacteristic
148#4677C2211yescharacteristic
149#4675C2211yescharacteristic
150#4675C2211yescharacteristic
151#4673C2211yescharacteristic
152#4672C2211yescharacteristic
153#4670C2211yescharacteristic
154#4670C2211yescharacteristic
155#4670C2211yescharacteristic
156#4670C2211yescharacteristic
157#4669C2211yescharacteristic
158#4668C2211yescharacteristic
159#4667C2211yescharacteristic
160#4665C2211yescharacteristic
161#4665C2211yescharacteristic
162#4664C2211yescharacteristic
163#4664C2211yescharacteristic
164D3×#95C2211yescharacteristic
165C3⋊#401C2211yescharacteristic
166#4661C2211yescharacteristic
167#4660C2211yescharacteristic
168#4660C2211yescharacteristic
169#4658C2211yescharacteristic
170#4656C2211yescharacteristic
171#4656C2211yescharacteristic
172#4655C2211yescharacteristic
173#4654C2211yescharacteristic
174#4650C2211yescharacteristic
175#4650C2211yescharacteristic
176#4649C2211yescharacteristic
177#4649C2211yescharacteristic
178#4649C2211yescharacteristic
179#4649C2211yescharacteristic
180#4648C2211yescharacteristic
181#4647C2211yescharacteristic
182#4647C2211yescharacteristic
183#4647C2211yescharacteristic
184#4646C2211yescharacteristic
185#4646C2211yescharacteristic
186#4646C2211yescharacteristic
187#4646C2211yescharacteristic
188#2752—31no—
189#2752D311yescharacteristic, complemented
190#2746—31no—
191#2746—31no—
192#2730—31no—
193#2730—31no—
194#2706—31no—
195#2706—31no—
196#2564—31no—
197#2564—31no—
198#2542—31no—
199#2516—31no—
200#2516—31no—
201#2497—31no—
202#2491—31no—
203#2488—31no—
204#2488—31no—
205#2461—31no—
206#2461—31no—
207#2451—31no—
208#2448—31no—
209#2445—31no—
210#2431—31no—
211#2422—31no—
212#2401—31no—
213#2366—31no—
214#2355—31no—
215#2341—31no—
216#2339—31no—
217#2326—31no—
218#2319—31no—
219C22×C3×D4C2311yescharacteristic
220C22×C3×D4C2311yescharacteristic
221C22×C3×D4C2311yescharacteristic
222C23×C3×C4C2311yescharacteristic
223C22×#67C2311yescharacteristic
224C22×#67C2311yescharacteristic
225C22×#67C2311yescharacteristic
226C22×#67C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C23×Dic3C2311yescharacteristic
230C23×Dic3C2311yescharacteristic
231C23×Dic3C2311yescharacteristic
232C23×Dic3C2311yescharacteristic
233C2×#237—24no—
234C2×#237—24no—
235C2×#237—42no—
236C22×D12C2311yescharacteristic
237C22×C4×D3C2311yescharacteristic
238C22×C4×D3C2311yescharacteristic
239C22×C4×D3C2311yescharacteristic
240C22×C4×D3C2311yescharacteristic
241C22×Dic6C2311yescharacteristic
242C22×Dic6C2311yescharacteristic
243C22×Dic6C2311yescharacteristic
244C2×C3×C4⋊C4C2311yescharacteristic
245C2×C3×C4⋊C4C2311yescharacteristic
246C2×C3×C4⋊C4C2311yescharacteristic
247C2×C3×C4⋊C4C2311yescharacteristic
248C2×C3×C4⋊C4C2311yescharacteristic
249C2×C3×C22⋊C4C2311yescharacteristic
250C2×C3×C22⋊C4C2311yescharacteristic
251C2×C3×C22⋊C4C2311yescharacteristic
252C2×C3×C22⋊C4C2311yescharacteristic
253C2×C3×C22⋊C4C2311yescharacteristic
254C2×C3×C22⋊C4C2311yescharacteristic
255C2×C3×C22⋊C4C2311yescharacteristic
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×C42C2311yescharacteristic
264C2×C3×C42C2311yescharacteristic
265C2×#217C2311yescharacteristic
266C2×#217C2311yescharacteristic
267C2×#217C2311yescharacteristic
268C2×#217C2311yescharacteristic
269C2×#217C2311yescharacteristic
270C2×#217C2311yescharacteristic
271C2×#217C2311yescharacteristic
272C2×#217C2311yescharacteristic
273C2×#217C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279#940—24no—
280#939—42no—
281#936—42no—
282#935—42no—
283D4×Dic3—42no—
284#929—42no—
285C4×#67—24no—
286C2×(C2×D3)⋊C4C2311yescharacteristic
287C2×(C2×D3)⋊C4C2311yescharacteristic
288C2×(C2×D3)⋊C4C2311yescharacteristic
289C2×(C2×D3)⋊C4C2311yescharacteristic
290C2×(C2×D3)⋊C4C2311yescharacteristic
291C2×(C2×D3)⋊C4C2311yescharacteristic
292C2×(C2×D3)⋊C4C2311yescharacteristic
293C2×(C2×D3)⋊C4C2311yescharacteristic
294C2×(C2×D3)⋊C4C2311yescharacteristic
295C2×(C2×D3)⋊C4C2311yescharacteristic
296C2×(C2×D3)⋊C4C2311yescharacteristic
297C2×(C2×D3)⋊C4C2311yescharacteristic
298C2×(C2×D3)⋊C4C2311yescharacteristic
299C2×(C2×D3)⋊C4C2311yescharacteristic
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×C4⋊Dic3C2311yescharacteristic
305C2×C4⋊Dic3C2311yescharacteristic
306C2×C4⋊Dic3C2311yescharacteristic
307C2×C4⋊Dic3C2311yescharacteristic
308C2×C4⋊Dic3C2311yescharacteristic
309C2×C4⋊Dic3C2311yescharacteristic
310C2×C4⋊Dic3C2311yescharacteristic
311C2×C4⋊Dic3C2311yescharacteristic
312C2×Dic3⋊C4C2311yescharacteristic
313C2×Dic3⋊C4C2311yescharacteristic
314C2×Dic3⋊C4C2311yescharacteristic
315C2×Dic3⋊C4C2311yescharacteristic
316C2×Dic3⋊C4C2311yescharacteristic
317C2×Dic3⋊C4C2311yescharacteristic
318C2×Dic3⋊C4C2311yescharacteristic
319C2×Dic3⋊C4C2311yescharacteristic
320C2×Dic3⋊C4C2311yescharacteristic
321C2×Dic3⋊C4C2311yescharacteristic
322C2×Dic3⋊C4C2311yescharacteristic
323C2×Dic3⋊C4C2311yescharacteristic
324C2×Dic3⋊C4C2311yescharacteristic
325C2×Dic3⋊C4C2311yescharacteristic
326C2×Dic3⋊C4C2311yescharacteristic
327C2×Dic3⋊C4C2311yescharacteristic
328C2×Dic3⋊C4C2311yescharacteristic
329C2×Dic3⋊C4C2311yescharacteristic
330C2×C4×Dic3C2311yescharacteristic
331C2×C4×Dic3C2311yescharacteristic
332C2×C4×Dic3C2311yescharacteristic
333C2×C4×Dic3C2311yescharacteristic
334C2×C4×Dic3C2311yescharacteristic
335C2×C4×Dic3C2311yescharacteristic
336C2×C4×Dic3C2311yescharacteristic
337C2×C4×Dic3C2311yescharacteristic
338C2×C4×Dic3C2311yescharacteristic
339C2×C4×Dic3C2311yescharacteristic
340C2×C4×Dic3C2311yescharacteristic
341C2×C4×Dic3C2311yescharacteristic
342#896—42no—
343#896—42no—
344#888—42no—
345#887—24no—
346#885—24no—
347#885—42no—
348#883—42no—
349#883—42no—
350#67⋊C4—42no—
351#67⋊C4—42no—
352#878—42no—
353#878—42no—
354C4×D12—42no—
355C4×Dic6—42no—
356C3×#95C2311yescharacteristic
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
398C22×#41—31no—
399C2×C4⋊Q8—31no—
400C2×#127—31no—
401C2×#124—31no—
402C2×#124—31no—
403C2×#124—31no—
404C2×#123—31no—
405C2×#123—31no—
406C2×#123—31no—
407C2×#123—31no—
408C2×C22⋊Q8—31no—
409C2×C22⋊Q8—31no—
410C2×C22⋊Q8—31no—
411C2×C22⋊Q8—31no—
412C2×#121—31no—
413C2×C4×Q8—31no—
414C2×C4×Q8—31no—
415C2×C4×D4—31no—
416C2×C4×D4—31no—
417C2×C4×D4—31no—
418C2×C4×D4—31no—
419C2×C4×D4—31no—
420#401—31no—
421#400—31no—
422#400—31no—
423#400—31no—
424#400—31no—
425#400—31no—
426#399—31no—
427#399—31no—
428#399—31no—
429#399—31no—
430#399—31no—
431#399C2×D311yescharacteristic
432#398—31no—
433#398—31no—
434#397—31no—
435#397—31no—
436#397—31no—
437#397—31no—
438#397—31no—
439#397C2×D311yescharacteristic
440#397C2×D311yescharacteristic
441#396—31no—
442#396—31no—
443#396—31no—
444#395—31no—
445#395—31no—
446#394—31no—
447#394—31no—
448#394—31no—
449#394—31no—
450#394—31no—
451#394—31no—
452#394C2×D311yescharacteristic
453#394C2×D311yescharacteristic
454#393—31no—
455#393—31no—
456#392—31no—
457#392—31no—
458#392—31no—
459#392C2×D311yescharacteristic
460#391—31no—
461#391—31no—
462#391—31no—
463#391—31no—
464#391—31no—
465#390—31no—
466#390—31no—
467#390—31no—
468#390—31no—
469#390—31no—
470#390—31no—
471#390—31no—
472#390—31no—
473#390—31no—
474#390—31no—
475#390C2×D311yescharacteristic
476#390C2×D311yescharacteristic
477#389—31no—
478#389—31no—
479#389—31no—
480#388—31no—
481#388—31no—
482#388—31no—
483#388—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#388C2×D311yescharacteristic
495#388C2×D311yescharacteristic
496#387—31no—
497#387—31no—
498#387—31no—
499#387—31no—
500#387—31no—
501#387—31no—
502#387C2×D311yescharacteristic
503#387C2×D311yescharacteristic
504#386—31no—
505#386—31no—
506#386—31no—
507#386—31no—
508#386—31no—
509#386—31no—
510#386—31no—
511#386—31no—
512#386—31no—
513#386—31no—
514#386—31no—
515#386—31no—
516#386C2×D311yescharacteristic
517#386C2×D311yescharacteristic
518#385—31no—
519#385—31no—
520#385—31no—
521#385—31no—
522#385—31no—
523#385—31no—
524#384—31no—
525#384—31no—
526#382—31no—
527#382—31no—
528#381—31no—
529#381—31no—
530#381—31no—
531#381C2×D311yescharacteristic
532#380—31no—
533#380—31no—
534#380—31no—
535#380—31no—
536#380—31no—
537#380—31no—
538C4×C4⋊C4—31no—
539C4×C4⋊C4—31no—
540C4×C4⋊C4—31no—
541C4×C4⋊C4—31no—
542C4×C4⋊C4—31no—
543C4×C4⋊C4—31no—
544C4×C4⋊C4—31no—
545C4×C22⋊C4—31no—
546C4×C22⋊C4—31no—
547C4×C22⋊C4—31no—
548C4×C22⋊C4—31no—
549C4×C22⋊C4—31no—
550#376—31no—
551C2×#95—31no—
552C2×#95—31no—
553C24×C3C2411yescharacteristic
554C24×C3C2411yescharacteristic
555C24×C3C2411yescharacteristic
556C23×D3C2411yescharacteristic
557C23×D3C2411yescharacteristic
558C2×C3×D4—22no—
559C2×C3×D4—22no—
560C2×C3×D4—22no—
561C2×C3×D4—22no—
562C2×C3×D4—41no—
563C2×C3×D4—41no—
564C2×C3×D4—41no—
565C2×C3×D4—41no—
566C2×C3×D4—41no—
567C22×C3×C4—22no—
568C22×C3×C4—41no—
569C22×C3×C4—41no—
570C22×C3×C4C2411yescharacteristic
571C22×C3×C4C2411yescharacteristic
572C22×C3×C4C2411yescharacteristic
573C22×C3×C4C2411yescharacteristic
574C22×C3×C4C2411yescharacteristic
575C22×C3×C4C2411yescharacteristic
576C22×C3×C4C2411yescharacteristic
577C22×C3×C4C2411yescharacteristic
578C22×C3×C4C2411yescharacteristic
579C22×C3×C4C2411yescharacteristic
580C22×C3×C4C2411yescharacteristic
581C22×C3×C4C2411yescharacteristic
582C2×#67—22no—
583C2×#67—22no—
584C2×#67—22no—
585C2×#67—22no—
586C2×#67—22no—
587C2×#67—22no—
588C2×#67—22no—
589C2×#67—22no—
590C2×#67—22no—
591C2×#67—41no—
592C2×#67—41no—
593C2×#67—41no—
594C2×#67—41no—
595C2×#67—41no—
596C2×#67—41no—
597C2×#67—41no—
598C2×#67—41no—
599C2×#67#4114yes—
600C22×Dic3—22no—
601C22×Dic3—22no—
602C22×Dic3—22no—
603C22×Dic3—22no—
604C22×Dic3—22no—
605C22×Dic3—22no—
606C22×Dic3—41no—
607C22×Dic3—41no—
608C22×Dic3—41no—
609C22×Dic3—41no—
610C22×Dic3—41no—
611C22×Dic3—41no—
612C22×Dic3C2411yescharacteristic
613C22×Dic3C2411yescharacteristic
614C22×Dic3C2411yescharacteristic
615C22×Dic3C2411yescharacteristic
616C22×Dic3C2411yescharacteristic
617C22×Dic3C2411yescharacteristic
618C22×Dic3C2411yescharacteristic
619C22×Dic3C2411yescharacteristic
620C22×Dic3C2411yescharacteristic
621C22×Dic3C2411yescharacteristic
622C22×Dic3C2411yescharacteristic
623C22×Dic3C2411yescharacteristic
624C22×Dic3C2411yescharacteristic
625C22×Dic3C2411yescharacteristic
626#237—416no—
627C2×D12—22no—
628C2×D12—22no—
629C2×D12—41no—
630C2×C4×D3—22no—
631C2×C4×D3—22no—
632C2×C4×D3—22no—
633C2×C4×D3—22no—
634C2×C4×D3—41no—
635C2×C4×D3—41no—
636C2×C4×D3—41no—
637C2×C4×D3—41no—
638C2×C4×D3—41no—
639C2×C4×D3—41no—
640C2×C4×D3—41no—
641C2×C4×D3—41no—
642C2×Dic6—22no—
643C2×Dic6—22no—
644C2×Dic6—22no—
645C2×Dic6—22no—
646C2×Dic6—41no—
647C2×Dic6—41no—
648C2×Dic6—41no—
649C2×Dic6—41no—
650C2×Dic6#4114yes—
651C3×C4⋊C4—22no—
652C3×C4⋊C4—22no—
653C3×C4⋊C4—41no—
654C3×C4⋊C4—41no—
655C3×C4⋊C4—41no—
656C3×C22⋊C4—22no—
657C3×C22⋊C4—22no—
658C3×C22⋊C4—41no—
659C3×C22⋊C4—41no—
660C3×C22⋊C4—41no—
661C3×C22⋊C4—41no—
662C3×C22⋊C4—41no—
663C3×C22⋊C4—41no—
664C3×C22⋊C4—41no—
665C3×C22⋊C4—41no—
666C3×C22⋊C4—41no—
667C3×C22⋊C4—41no—
668C3×C22⋊C4—41no—
669C3×C22⋊C4—41no—
670C3×C42—41no—
671C3×C42—41no—
672#217—22no—
673#217—22no—
674#217—22no—
675#217—22no—
676#217—22no—
677#217—22no—
678#217—22no—
679#217—41no—
680#217—41no—
681#217—41no—
682#217—41no—
683#217—41no—
684#217—41no—
685#217—41no—
686(C2×D3)⋊C4—22no—
687(C2×D3)⋊C4—22no—
688(C2×D3)⋊C4—22no—
689(C2×D3)⋊C4—22no—
690(C2×D3)⋊C4—22no—
691(C2×D3)⋊C4—22no—
692(C2×D3)⋊C4—41no—
693(C2×D3)⋊C4—41no—
694(C2×D3)⋊C4—41no—
695(C2×D3)⋊C4—41no—
696(C2×D3)⋊C4—41no—
697(C2×D3)⋊C4—41no—
698(C2×D3)⋊C4—41no—
699(C2×D3)⋊C4—41no—
700(C2×D3)⋊C4—41no—
701(C2×D3)⋊C4—41no—
702(C2×D3)⋊C4—41no—
703(C2×D3)⋊C4—41no—
704C4⋊Dic3—22no—
705C4⋊Dic3—41no—
706C4⋊Dic3—41no—
707C4⋊Dic3—41no—
708C4⋊Dic3—41no—
709C4⋊Dic3—41no—
710C4⋊Dic3—41no—
711C4⋊Dic3—41no—
712Dic3⋊C4—22no—
713Dic3⋊C4—22no—
714Dic3⋊C4—22no—
715Dic3⋊C4—22no—
716Dic3⋊C4—22no—
717Dic3⋊C4—22no—
718Dic3⋊C4—22no—
719Dic3⋊C4—22no—
720Dic3⋊C4—22no—
721Dic3⋊C4—22no—
722Dic3⋊C4—22no—
723Dic3⋊C4—22no—
724Dic3⋊C4—41no—
725Dic3⋊C4—41no—
726Dic3⋊C4—41no—
727Dic3⋊C4—41no—
728Dic3⋊C4—41no—
729Dic3⋊C4—41no—
730C4×Dic3—22no—
731C4×Dic3—22no—
732C4×Dic3—22no—
733C4×Dic3—22no—
734C4×Dic3—22no—
735C4×Dic3—22no—
736C4×Dic3—22no—
737C4×Dic3—22no—
738C4×Dic3—41no—
739C4×Dic3—41no—
740C4×Dic3—41no—
741C4×Dic3—41no—
742C2×#41—64no—
743C2×#41—64no—
744C2×#41—122no—
745C22×Q8—31no—
746C22×Q8—31no—
747C22×Q8—31no—
748C22×D4—31no—
749C22×D4—31no—
750C22×D4—31no—
751C22×D4—31no—
752C22×D4—31no—
753C22×D4—31no—
754C22×D4—31no—
755C22×D4C22×D311yescharacteristic
756C22×D4C22×D311yescharacteristic
757C22×D4C22×D311yescharacteristic
758C23×C4—31no—
759C23×C4—31no—
760C23×C4—31no—
761C23×C4—31no—
762C23×C4—31no—
763C23×C4—31no—
764C23×C4—31no—
765C23×C4—31no—
766C23×C4C22×D311yescharacteristic
767C4⋊Q8—122no—
768#127—64no—
769#124—64no—
770#124—122no—
771#124—122no—
772#123—122no—
773#123—122no—
774#123—122no—
775#123—122no—
776C22⋊Q8—122no—
777C22⋊Q8—122no—
778C22⋊Q8—122no—
779C22⋊Q8—122no—
780#121—122no—
781C4×Q8—64no—
782C4×Q8—122no—
783C4×D4—64no—
784C4×D4—122no—
785C4×D4—122no—
786C4×D4—122no—
787C4×D4—122no—
788C2×C4⋊C4—31no—
789C2×C4⋊C4—31no—
790C2×C4⋊C4—31no—
791C2×C4⋊C4—31no—
792C2×C4⋊C4—31no—
793C2×C4⋊C4—31no—
794C2×C4⋊C4—31no—
795C2×C4⋊C4—31no—
796C2×C4⋊C4—31no—
797C2×C4⋊C4—31no—
798C2×C4⋊C4—31no—
799C2×C4⋊C4—31no—
800C2×C4⋊C4—31no—
801C2×C4⋊C4—31no—
802C2×C4⋊C4—31no—
803C2×C4⋊C4—31no—
804C2×C4⋊C4—31no—
805C2×C4⋊C4—31no—
806C2×C4⋊C4—31no—
807C2×C4⋊C4—31no—
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⋊C4C22×D311yescharacteristic
815C2×C4⋊C4C22×D311yescharacteristic
816C2×C4⋊C4C22×D311yescharacteristic
817C2×C4⋊C4C22×D311yescharacteristic
818C2×C4⋊C4C22×D311yescharacteristic
819C2×C22⋊C4—31no—
820C2×C22⋊C4—31no—
821C2×C22⋊C4—31no—
822C2×C22⋊C4—31no—
823C2×C22⋊C4—31no—
824C2×C22⋊C4—31no—
825C2×C22⋊C4—31no—
826C2×C22⋊C4—31no—
827C2×C22⋊C4—31no—
828C2×C22⋊C4—31no—
829C2×C22⋊C4—31no—
830C2×C22⋊C4—31no—
831C2×C22⋊C4—31no—
832C2×C22⋊C4—31no—
833C2×C22⋊C4—31no—
834C2×C22⋊C4—31no—
835C2×C22⋊C4—31no—
836C2×C22⋊C4—31no—
837C2×C22⋊C4—31no—
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⋊C4C22×D311yescharacteristic
852C2×C22⋊C4C22×D311yescharacteristic
853C2×C22⋊C4C22×D311yescharacteristic
854C2×C22⋊C4C22×D311yescharacteristic
855C2×C22⋊C4C22×D311yescharacteristic
856C2×C22⋊C4C22×D311yescharacteristic
857C2×C22⋊C4C22×D311yescharacteristic
858C2×C22⋊C4C22×D311yescharacteristic
859C2×C22⋊C4C22×D311yescharacteristic
860C2×C22⋊C4C22×D311yescharacteristic
861C2×C22⋊C4C22×D311yescharacteristic
862C2×C22⋊C4C22×D311yescharacteristic
863C2×C22⋊C4C22×D311yescharacteristic
864C2×C22⋊C4C22×D311yescharacteristic
865C2×C42—31no—
866C2×C42—31no—
867C2×C42—31no—
868C2×C42—31no—
869C2×C42—31no—
870C2×C42—31no—
871C2×C42—31no—
872C2×C42—31no—
873C2×C42—31no—
874C2×C42—31no—
875C2×C42—31no—
876C2×C42—31no—
877C2×C42C22×D311yescharacteristic
878C2×C42C22×D311yescharacteristic
879#95—31no—
880#95—31no—
881#95—31no—
882#95—31no—
883#95—31no—
884#95—31no—
885#95—31no—
886#95—31no—
887#95—31no—
888#95—31no—
889#95—31no—
890#95—31no—
891#95—31no—
892#95—31no—
893#95—31no—
894#95—31no—
895#95—31no—
896#95—31no—
897#95—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#95C22×D311yescharacteristic
912#95C22×D311yescharacteristic
913#95C22×D311yescharacteristic
914#95C22×D311yescharacteristic
915#95C22×D311yescharacteristic
916#95C22×D311yescharacteristic
917#95C22×D311yescharacteristic
918#95C22×D311yescharacteristic
919#95C22×D311yescharacteristic
920#95C22×D311yescharacteristic
921C23×C3—21no—
922C23×C3—21no—
923C23×C3—21no—
924C23×C3—21no—
925C23×C3—21no—
926C23×C3—21no—
927C23×C3—21no—
928C23×C3—21no—
929C23×C3—21no—
930C23×C3—21no—
931C23×C3—21no—
932C23×C3—21no—
933C23×C3—21no—
934C23×C3—21no—
935C23×C3—21no—
936C23×C3—21no—
937C23×C3—21no—
938C23×C3—21no—
939C23×C3—21no—
940C23×C3—21no—
941C23×C3C2×#4112yes—
942C23×C3C2511yescharacteristic
943C22×D3—21no—
944C22×D3—21no—
945C22×D3—21no—
946C22×D3—21no—
947C22×D3—21no—
948C22×D3—21no—
949C22×D3—21no—
950C22×D3—21no—
951C22×D3—21no—
952C22×D3—21no—
953C22×D3—21no—
954C22×D3—21no—
955C22×D3—21no—
956C22×D3C2×#4112yes—
957C3×D4—44no—
958C3×D4—44no—
959C3×D4—82no—
960C2×C3×C4—21no—
961C2×C3×C4—21no—
962C2×C3×C4—21no—
963C2×C3×C4—21no—
964C2×C3×C4—21no—
965C2×C3×C4—21no—
966C2×C3×C4—21no—
967C2×C3×C4—21no—
968C2×C3×C4—21no—
969C2×C3×C4—21no—
970C2×C3×C4—21no—
971C2×C3×C4—21no—
972C2×C3×C4—21no—
973C2×C3×C4—21no—
974C2×C3×C4—21no—
975C2×C3×C4—21no—
976C2×C3×C4—21no—
977C2×C3×C4—21no—
978C2×C3×C4—21no—
979C2×C3×C4—21no—
980C2×C3×C4—21no—
981C2×C3×C4—21no—
982C2×C3×C4—21no—
983C2×C3×C4—21no—
984C2×C3×C4—21no—
985C2×C3×C4—21no—
986C2×C3×C4—21no—
987C2×C3×C4—21no—
988C2×C3×C4—21no—
989C2×C3×C4—21no—
990C2×C3×C4—21no—
991C2×C3×C4—21no—
992C2×C3×C4—21no—
993C2×C3×C4—21no—
994C2×C3×C4—82no—
995C2×C3×C4C2×#4112yes—
996C2×C3×C42−1+412yes—
997#67—28no—
998#67—44no—
999#67—44no—
1000#67—82no—
1001#67—82no—
1002#67—82no—
1003C2×Dic3—21no—
1004C2×Dic3—21no—
1005C2×Dic3—21no—
1006C2×Dic3—21no—
1007C2×Dic3—21no—
1008C2×Dic3—21no—
1009C2×Dic3—21no—
1010C2×Dic3—21no—
1011C2×Dic3—21no—
1012C2×Dic3—21no—
1013C2×Dic3—21no—
1014C2×Dic3—21no—
1015C2×Dic3—21no—
1016C2×Dic3—21no—
1017C2×Dic3—21no—
1018C2×Dic3—21no—
1019C2×Dic3—21no—
1020C2×Dic3—21no—
1021C2×Dic3—21no—
1022C2×Dic3—21no—
1023C2×Dic3—21no—
1024C2×Dic3—21no—
1025C2×Dic3—21no—
1026C2×Dic3—21no—
1027C2×Dic3—21no—
1028C2×Dic3—21no—
1029C2×Dic3—21no—
1030C2×Dic3—21no—
1031C2×Dic3—21no—
1032C2×Dic3—21no—
1033C2×Dic3—21no—
1034C2×Dic3—21no—
1035C2×Dic3—21no—
1036C2×Dic3—21no—
1037C2×Dic3—21no—
1038C2×Dic3—21no—
1039C2×Dic3—44no—
1040C2×Dic3—44no—
1041C2×Dic3—82no—
1042C2×Dic3—82no—
1043C2×Dic3C2×#4112yes—
1044C2×Dic3C2×#4112yes—
1045C2×Dic3C2×#4112yes—
1046C2×Dic3H(5,𝔽2)12yes—
1047C2×Dic3H(5,𝔽2)12yes—
1048C2×Dic3H(5,𝔽2)12yes—
1049D12—44no—
1050C4×D3—44no—
1051C4×D3—82no—
1052C4×D3—82no—
1053C4×D3—82no—
1054Dic6—28no—
1055Dic6—82no—
1056Dic6—82no—
1057C24—31no—
1058C24—31no—
1059C24C23×D311yescharacteristic
1060C24C23×D311yescharacteristic
1061C24C23×D311yescharacteristic
1062#41—1216no—
1063C2×Q8—34no—
1064C2×Q8—62no—
1065C2×Q8—62no—
1066C2×Q8—62no—
1067C2×Q8—62no—
1068C2×Q8—121no—
1069C2×Q8—121no—
1070C2×Q8—121no—
1071C2×Q8—121no—
1072C2×D4—22no—
1073C2×D4—22no—
1074C2×D4—22no—
1075C2×D4—22no—
1076C2×D4—34no—
1077C2×D4—41no—
1078C2×D4—41no—
1079C2×D4—41no—
1080C2×D4—41no—
1081C2×D4—41no—
1082C2×D4—62no—
1083C2×D4—62no—
1084C2×D4—62no—
1085C2×D4—62no—
1086C2×D4—62no—
1087C2×D4—62no—
1088C2×D4—62no—
1089C2×D4—62no—
1090C2×D4—62no—
1091C2×D4—62no—
1092C2×D4—62no—
1093C2×D4—121no—
1094C2×D4—121no—
1095C2×D4—121no—
1096C2×D4—121no—
1097C2×D4—121no—
1098C2×D4—121no—
1099C2×D4—121no—
1100C2×D4—121no—
1101C2×D4—121no—
1102C22×C4—22no—
1103C22×C4—31no—
1104C22×C4—31no—
1105C22×C4—31no—
1106C22×C4—31no—
1107C22×C4—31no—
1108C22×C4—31no—
1109C22×C4—31no—
1110C22×C4—31no—
1111C22×C4—31no—
1112C22×C4—31no—
1113C22×C4—31no—
1114C22×C4—31no—
1115C22×C4—31no—
1116C22×C4—31no—
1117C22×C4—41no—
1118C22×C4—41no—
1119C22×C4—62no—
1120C22×C4—62no—
1121C22×C4—62no—
1122C22×C4—62no—
1123C22×C4—62no—
1124C22×C4—62no—
1125C22×C4—62no—
1126C22×C4—62no—
1127C22×C4—62no—
1128C22×C4—62no—
1129C22×C4—121no—
1130C22×C4—121no—
1131C22×C4—121no—
1132C22×C4—121no—
1133C22×C4—121no—
1134C22×C4—121no—
1135C22×C4—121no—
1136C22×C4—121no—
1137C22×C4—121no—
1138C22×C4—121no—
1139C22×C4—121no—
1140C22×C4—121no—
1141C22×C4—121no—
1142C22×C4—121no—
1143C22×C4C23×D311yescharacteristic
1144C22×C4C23×D311yescharacteristic
1145C22×C4C23×D311yescharacteristic
1146C22×C4C23×D311yescharacteristic
1147C22×C4C23×D311yescharacteristic
1148C22×C4C23×D311yescharacteristic
1149C22×C4C23×D311yescharacteristic
1150C22×C4C23×D311yescharacteristic
1151C22×C4C23×D311yescharacteristic
1152C22×C4C23×D311yescharacteristic
1153C22×C4C23×D311yescharacteristic
1154C22×C4C23×D311yescharacteristic
1155C4⋊C4—22no—
1156C4⋊C4—22no—
1157C4⋊C4—41no—
1158C4⋊C4—41no—
1159C4⋊C4—41no—
1160C4⋊C4—62no—
1161C4⋊C4—62no—
1162C4⋊C4—62no—
1163C4⋊C4—62no—
1164C4⋊C4—62no—
1165C4⋊C4—62no—
1166C4⋊C4—62no—
1167C4⋊C4—62no—
1168C4⋊C4—62no—
1169C4⋊C4—62no—
1170C4⋊C4—62no—
1171C4⋊C4—62no—
1172C4⋊C4—62no—
1173C4⋊C4—121no—
1174C4⋊C4—121no—
1175C4⋊C4—121no—
1176C4⋊C4—121no—
1177C4⋊C4—121no—
1178C4⋊C4—121no—
1179C4⋊C4—121no—
1180C4⋊C4—121no—
1181C4⋊C4—121no—
1182C4⋊C4—121no—
1183C4⋊C4—121no—
1184C4⋊C4—121no—
1185C4⋊C4—121no—
1186C22⋊C4—22no—
1187C22⋊C4—22no—
1188C22⋊C4—41no—
1189C22⋊C4—41no—
1190C22⋊C4—41no—
1191C22⋊C4—41no—
1192C22⋊C4—41no—
1193C22⋊C4—41no—
1194C22⋊C4—41no—
1195C22⋊C4—41no—
1196C22⋊C4—41no—
1197C22⋊C4—41no—
1198C22⋊C4—41no—
1199C22⋊C4—41no—
1200C22⋊C4—62no—
1201C22⋊C4—62no—
1202C22⋊C4—62no—
1203C22⋊C4—62no—
1204C22⋊C4—62no—
1205C22⋊C4—62no—
1206C22⋊C4—62no—
1207C22⋊C4—62no—
1208C22⋊C4—62no—
1209C22⋊C4—62no—
1210C22⋊C4—62no—
1211C22⋊C4—62no—
1212C22⋊C4—62no—
1213C22⋊C4—121no—
1214C22⋊C4—121no—
1215C22⋊C4—121no—
1216C22⋊C4—121no—
1217C22⋊C4—121no—
1218C22⋊C4—121no—
1219C22⋊C4—121no—
1220C22⋊C4—121no—
1221C22⋊C4—121no—
1222C22⋊C4—121no—
1223C22⋊C4—121no—
1224C22⋊C4—121no—
1225C22⋊C4—121no—
1226C22⋊C4—121no—
1227C22⋊C4—121no—
1228C22⋊C4—121no—
1229C22⋊C4—121no—
1230C22⋊C4—121no—
1231C22⋊C4—121no—
1232C42—41no—
1233C42—41no—
1234C42—62no—
1235C42—62no—
1236C42—62no—
1237C42—62no—
1238C42—62no—
1239C42—62no—
1240C42—62no—
1241C42—62no—
1242C42—121no—
1243C42—121no—
1244C42—121no—
1245C42—121no—
1246C22×C3—22no—
1247C22×C3—22no—
1248C22×C3—22no—
1249C22×C3—41no—
1250C22×C3—41no—
1251C22×C3—41no—
1252C22×C3—41no—
1253C22×C3—41no—
1254C22×C3—41no—
1255C22×C3—41no—
1256C22×C3—41no—
1257C22×C3—41no—
1258C22×C3—41no—
1259C22×C3—41no—
1260C22×C3—41no—
1261C22×C3—41no—
1262C22×C3—41no—
1263C22×C3—41no—
1264C22×C3—41no—
1265C22×C3—41no—
1266C22×C3—41no—
1267C22×C3C22×#4111yescharacteristic
1268C22×C3C22×#4111yescharacteristic
1269C22×C3C2×H(5,𝔽2)11yescharacteristic
1270C22×C3C2×H(5,𝔽2)11yescharacteristic
1271C22×C3C2×H(5,𝔽2)11yescharacteristic
1272C22×C3C2×2−1+411yescharacteristic
1273C22×C3#58511yescharacteristic
1274C2×D3—22no—
1275C2×D3—22no—
1276C2×D3—22no—
1277C2×D3—41no—
1278C2×D3—41no—
1279C2×D3—41no—
1280C2×D3—41no—
1281C2×D3—41no—
1282C2×D3—41no—
1283C2×D3—41no—
1284C2×D3—41no—
1285C2×D3—41no—
1286C2×D3—41no—
1287C2×D3—41no—
1288C3×C4—22no—
1289C3×C4—22no—
1290C3×C4—41no—
1291C3×C4—41no—
1292C3×C4—41no—
1293C3×C4—41no—
1294C3×C4—41no—
1295C3×C4—41no—
1296C3×C4—41no—
1297C3×C4—41no—
1298C3×C4—41no—
1299C3×C4—41no—
1300Dic3—22no—
1301Dic3—22no—
1302Dic3—22no—
1303Dic3—41no—
1304Dic3—41no—
1305Dic3—41no—
1306Dic3—41no—
1307Dic3—41no—
1308Dic3—41no—
1309Dic3—41no—
1310Dic3—41no—
1311Dic3—41no—
1312Dic3—41no—
1313Dic3#55114yes—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—32no—
1335C23—61no—
1336C23—61no—
1337C23—61no—
1338C23—61no—
1339C23—61no—
1340C23—61no—
1341C23—61no—
1342C23—61no—
1343C23—61no—
1344C23—61no—
1345C23—61no—
1346C23—61no—
1347C23—61no—
1348C23D3×#4112yes—
1349C23C24×D311yescharacteristic
1350Q8—68no—
1351Q8—242no—
1352Q8—242no—
1353D4—44no—
1354D4—44no—
1355D4—68no—
1356D4—82no—
1357D4—124no—
1358D4—124no—
1359D4—124no—
1360D4—242no—
1361D4—242no—
1362D4—242no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—32no—
1398C2×C4—32no—
1399C2×C4—32no—
1400C2×C4—32no—
1401C2×C4—32no—
1402C2×C4—32no—
1403C2×C4—61no—
1404C2×C4—61no—
1405C2×C4—61no—
1406C2×C4—61no—
1407C2×C4—61no—
1408C2×C4—61no—
1409C2×C4—61no—
1410C2×C4—61no—
1411C2×C4—61no—
1412C2×C4—61no—
1413C2×C4—61no—
1414C2×C4—61no—
1415C2×C4—61no—
1416C2×C4—61no—
1417C2×C4—61no—
1418C2×C4—61no—
1419C2×C4—61no—
1420C2×C4—61no—
1421C2×C4—61no—
1422C2×C4—61no—
1423C2×C4—61no—
1424C2×C4—61no—
1425C2×C4—61no—
1426C2×C4—61no—
1427C2×C4—61no—
1428C2×C4—61no—
1429C2×C4—61no—
1430C2×C4—61no—
1431C2×C4—61no—
1432C2×C4—61no—
1433C2×C4—61no—
1434C2×C4—61no—
1435C2×C4—61no—
1436C2×C4—61no—
1437C2×C4—61no—
1438C2×C4—61no—
1439C2×C4—82no—
1440C2×C4—124no—
1441C2×C4—124no—
1442C2×C4—124no—
1443C2×C4—242no—
1444C2×C4—242no—
1445C2×C4—242no—
1446C2×C4—242no—
1447C2×C4—242no—
1448C2×C4D3×#4112yes—
1449C2×C4#101012yes—
1450C2×C3—42no—
1451C2×C3—81no—
1452C2×C3—81no—
1453C2×C3C2×#55111yescharacteristic
1454C2×C3#351411yescharacteristic
1455C2×C3#351711yescharacteristic
1456C2×C3#352011yescharacteristic
1457C2×C3#352211yescharacteristic
1458C2×C3#354311yescharacteristic
1459C2×C3#355411yescharacteristic
1460D3—42no—
1461D3—81no—
1462C22—22no—
1463C22—22no—
1464C22—22no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—62no—
1484C22—62no—
1485C22—62no—
1486C22—121no—
1487C22—121no—
1488C22—121no—
1489C22—121no—
1490C22—121no—
1491C22—121no—
1492C22—121no—
1493C22—121no—
1494C22—121no—
1495C22—121no—
1496C22—121no—
1497C22C2×D3×#4111yescharacteristic
1498C22C2×D3×#4111yescharacteristic
1499C22C2×#101011yescharacteristic
1500C22D3×H(5,𝔽2)11yescharacteristic
1501C22D3×H(5,𝔽2)11yescharacteristic
1502C22D3×H(5,𝔽2)11yescharacteristic
1503C22#596611yescharacteristic
1504C4—22no—
1505C4—22no—
1506C4—34no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—62no—
1518C4—62no—
1519C4—62no—
1520C4—121no—
1521C4—121no—
1522C4—121no—
1523C4—121no—
1524C4—121no—
1525C4—121no—
1526C4—121no—
1527C4—121no—
1528C4—121no—
1529C4—121no—
1530C3#4499811yescharacteristic, complemented, Sylow
1531C2—42no—
1532C2—81no—
1533C2—81no—
1534C2—122no—
1535C2—241no—
1536C2#8639211yescharacteristic
1537C2#8647011yescharacteristic
1538C2#8647811yescharacteristic
1539C2#8679811yescharacteristic
1540C2D3×#55111yescharacteristic
1541C2#8705511yescharacteristic
1542C2#8708311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2752C2
prime radical#76672C2
hypercenter#2752D3
hypocenterC3#44998
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2752

Complements

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

NH ≅ G/Ntype
1. C3×#2752C2semidirect
2. #78077C2semidirect
3. #78037C2semidirect
4. #77718C2semidirect
5. #77712C2semidirect
6. #77469C2semidirect
7. #77461C2semidirect
8. #77044C2semidirect
9. #77026C2semidirect
10. #76935C2semidirect
11. #76900C2semidirect
12. #76680C2semidirect
14. #76400C2semidirect
15. #76343C2semidirect
16. #76306C2semidirect
17. #76301C2semidirect
18. #75867C2semidirect
19. #75550C2semidirect
20. #75512C2semidirect
21. #75462C2semidirect
22. #75360C2semidirect
23. #75346C2semidirect
24. #74987C2semidirect
25. #74963C2semidirect
26. #74817C2semidirect
27. #74763C2semidirect
28. #74708C2semidirect
29. #74672C2semidirect
30. #74076C2semidirect
31. #74055C2semidirect
189. #2752D3semidirect
1530. C3#44998semidirect

Maximal subgroups

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

subgroupindex
C3×#27522
#780772
#780372
#777182
#777122
#774692
#774612
#770442
#770262
#769352
#769002
#766802
#766722
#764002
#763432
#763062
#763012
#758672
#755502
#755122
#754622
#753602
#753462
#749872
#749632
#748172
#747632
#747082
#746722
#740762
#740552
#449983