Finite Group Databasebeta

← #11069570

Subgroups — #11069570

Order 768.

2416 conjugacy classes of subgroups.

The subgroup lattice has 1732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5678C211yesmaximal, characteristic, complemented
2C2×#5638C211yesmaximal, characteristic, complemented
3C3×#2426C211yesmaximal, characteristic, complemented
4#83006C211yesmaximal, characteristic, complemented
5#82806C211yesmaximal, characteristic, complemented
6#82707C211yesmaximal, characteristic, complemented
7#82683C211yesmaximal, characteristic, complemented
8#82495C211yesmaximal, characteristic, complemented
9C4×#946C211yesmaximal, characteristic, complemented
10#77423C211yesmaximal, characteristic, complemented
11#77416C211yesmaximal, characteristic, complemented
12#77364C211yesmaximal, characteristic, complemented
13#77354C211yesmaximal, characteristic, complemented
14#77134C211yesmaximal, characteristic, complemented
15#77123C211yesmaximal, characteristic, complemented
16#77115C211yesmaximal, characteristic, complemented
17#77025C211yesmaximal, characteristic, complemented
18#76476C211yesmaximal, characteristic, complemented
19#76455C211yesmaximal, characteristic, complemented
20#76454C211yesmaximal, characteristic, complemented
21#76454C211yesmaximal, characteristic, complemented
22#76354C211yesmaximal, characteristic, complemented
23#76333C211yesmaximal, characteristic, complemented
24#76217C211yesmaximal, characteristic, complemented
25#76120C211yesmaximal, characteristic, complemented
26#75839C211yesmaximal, characteristic, complemented
27D3×#388C211yesmaximal, characteristic, complemented
28#75595C211yesmaximal, characteristic, complemented
29#75545C211yesmaximal, characteristic, complemented
30#73579C211yesmaximal, characteristic, complemented
31#73535C211yesmaximal, characteristic, complemented
32#39380—31nomaximal, Sylow
33C2×C3×#124C2211yescharacteristic
34C2×C3×C22⋊Q8C2211yescharacteristic, complemented
35C2×C3×#121C2211yescharacteristic
36C2×C3×C4×Q8C2211yescharacteristic, complemented
37C2×#947C2211yescharacteristic
38C2×#946C2211yescharacteristic
39C2×#946C2211yescharacteristic, complemented
40C2×#940C2211yescharacteristic, complemented
41C2×#939C2211yescharacteristic
42C2×#938C2211yescharacteristic
43C2×#937C2211yescharacteristic
44C2×#937C2211yescharacteristic
45C2×#929C2211yescharacteristic, complemented
46C2×C4×#67C2211yescharacteristic
47#5678—28no—
48#5638—28no—
49C2×#898C2211yescharacteristic, complemented
50C2×#895C2211yescharacteristic
51C2×#895C2211yescharacteristic
52C2×#894C2211yescharacteristic
53C2×#894C2211yescharacteristic
54C2×#893C2211yescharacteristic
55C2×D3×C4⋊C4C2211yescharacteristic
56C2×#889C2211yescharacteristic, complemented
57C2×#889C2211yescharacteristic, complemented
58C2×#886C2211yescharacteristic
59C2×#884C2211yescharacteristic
60C2×#884C2211yescharacteristic
61C2×#884C2211yescharacteristic
62C2×#884C2211yescharacteristic
63C2×#884C2211yescharacteristic
64C2×#883C2211yescharacteristic
65C2×#883C2211yescharacteristic
66C2×#883C2211yescharacteristic
67C2×#883C2211yescharacteristic, complemented
68C2×#882C2211yescharacteristic
69C2×#882C2211yescharacteristic
70C2×#67⋊C4C2211yescharacteristic
71C2×D3×C22⋊C4C2211yescharacteristic
72C2×D3×C22⋊C4C2211yescharacteristic
73C2×D3×C22⋊C4C2211yescharacteristic
74C2×#879C2211yescharacteristic
75C2×#879C2211yescharacteristic, complemented
76C2×#876C2211yescharacteristic
77C2×C4×D12C2211yescharacteristic
78C2×C42×D3C2211yescharacteristic
79C3×#396C2211yescharacteristic
80C3×#396C2211yescharacteristic, complemented
81C3×#394C2211yescharacteristic
82C3×#394C2211yescharacteristic, complemented
83C3×#390C2211yescharacteristic
84C3×#390C2211yescharacteristic
85C3×#390C2211yescharacteristic, complemented
86C3×#389C2211yescharacteristic, complemented
87C3×#388C2211yescharacteristic
88C3×#388C2211yescharacteristic, complemented
89C3×C4×C22⋊C4C2211yescharacteristic, complemented
90#5229C2211yescharacteristic, complemented
91#5223C2211yescharacteristic
92#5223C2211yescharacteristic
93#5223C2211yescharacteristic
94#5223C2211yescharacteristic
95#5222C2211yescharacteristic
96#5222C2211yescharacteristic
97#5220C2211yescharacteristic, complemented
98#5213C2211yescharacteristic
99#5213C2211yescharacteristic, complemented
100#4994C2211yescharacteristic
101#4994C2211yescharacteristic, complemented
102#4994C2211yescharacteristic, complemented
103#4994C2211yescharacteristic, complemented
104#4993C2211yescharacteristic
105#4993C2211yescharacteristic
106#4992C2211yescharacteristic, complemented
107#4991C2211yescharacteristic
108#4991C2211yescharacteristic
109#4991C2211yescharacteristic, complemented
110#4990C2211yescharacteristic
111#4990C2211yescharacteristic
112#4989C2211yescharacteristic
113#4989C2211yescharacteristic
114#4987C2211yescharacteristic
115#4984C2211yescharacteristic, complemented
116#4982C2211yescharacteristic, complemented
117#4982C2211yescharacteristic, complemented
118#4978C2211yescharacteristic, complemented
119#4978C2211yescharacteristic, complemented
120#4978C2211yescharacteristic, complemented
121#4975C2211yescharacteristic, complemented
122#4972C2211yescharacteristic, complemented
123#4961C2211yescharacteristic
124#4961C2211yescharacteristic
125#4961C2211yescharacteristic, complemented
126#4960C2211yescharacteristic
127#4960C2211yescharacteristic
128#4960C2211yescharacteristic
129#4960C2211yescharacteristic
130#4959C2211yescharacteristic, complemented
131#4958C2211yescharacteristic, complemented
132#4957C2211yescharacteristic
133#4957C2211yescharacteristic
134#4957C2211yescharacteristic
135#4957C2211yescharacteristic
136#4957C2211yescharacteristic
137#4957C2211yescharacteristic
138#4957C2211yescharacteristic, complemented
139#4957C2211yescharacteristic, complemented
140#4957C2211yescharacteristic, complemented
141#4957C2211yescharacteristic, complemented
142#4956C2211yescharacteristic
143#4956C2211yescharacteristic
144#4956C2211yescharacteristic
145#4956C2211yescharacteristic, complemented
146#4956C2211yescharacteristic, complemented
147#4953C2211yescharacteristic, complemented
148#4952C2211yescharacteristic
149#4951C2211yescharacteristic
150#4951C2211yescharacteristic
151#4951C2211yescharacteristic, complemented
152#4949C2211yescharacteristic
153#4949C2211yescharacteristic
154#4948C2211yescharacteristic, complemented
155#4948C2211yescharacteristic, complemented
156#4945C2211yescharacteristic
157#4944C2211yescharacteristic
158#4944C2211yescharacteristic, complemented
159#4942C2211yescharacteristic, complemented
160Dic3×C22⋊C4C2211yescharacteristic, complemented
161#4940C2211yescharacteristic
162#4940C2211yescharacteristic, complemented
163#4940C2211yescharacteristic, complemented
164#4939C2211yescharacteristic
165#4939C2211yescharacteristic
166#4939C2211yescharacteristic, complemented
167C4×(C2×D3)⋊C4C2211yescharacteristic
168C4×(C2×D3)⋊C4C2211yescharacteristic
169C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
170C4×C4⋊Dic3C2211yescharacteristic, complemented
171#4933C2211yescharacteristic, complemented
172C4×Dic3⋊C4C2211yescharacteristic, complemented
173C4×Dic3⋊C4C2211yescharacteristic, complemented
174#4675C2211yescharacteristic
175#4672C2211yescharacteristic
176#4670C2211yescharacteristic
177#4669C2211yescharacteristic
178#4669C2211yescharacteristic, complemented
179#4667C2211yescharacteristic, complemented
180#4666C2211yescharacteristic, complemented
181#4665C2211yescharacteristic
182#4665C2211yescharacteristic
183#4665C2211yescharacteristic, complemented
184D3×#95C2211yescharacteristic
185D3×#95C2211yescharacteristic
186#4657C2211yescharacteristic, complemented
187#4657C2211yescharacteristic, complemented
188#4655C2211yescharacteristic, complemented
189#4652C2211yescharacteristic, complemented
190C2×#539—31no—
191C2×#538—31no—
192#2856—31no—
193#2730—31no—
194#2730—31no—
195#2721—31no—
196#2721—31no—
197#2705—31no—
198#2705—31no—
199#2673—31no—
200#2673—31no—
201#2618—31no—
202#2617—31no—
203#2554—31no—
204#2554—31no—
205#2554—31no—
206#2554—31no—
207#2539—31no—
208#2539—31no—
209#2490—31no—
210#2490—31no—
211#2426—31no—
212#2426D311yescharacteristic, complemented
213#2425—31no—
214#2425—31no—
215#2424—31no—
216#2424—31no—
217#2364—31no—
218#2364—31no—
219C4×C22⋊Q8—31no—
220C2×#388—31no—
221C24×D3C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C23×Dic3C2311yescharacteristic
238C22×D12C2311yescharacteristic
239C22×D12C2311yescharacteristic
240C22×D12C2311yescharacteristic
241C22×D12C2311yescharacteristic
242C22×D12C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C3×#124—24no—
252C3×C22⋊Q8—24no—
253C3×#121—42no—
254C3×C4×Q8—42no—
255C2×C3×C4⋊C4C2311yescharacteristic
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊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×C42C2311yescharacteristic
278C2×C3×C42C2311yescharacteristic
279C2×C3×C42C2311yescharacteristic
280C2×C3×C42C2311yescharacteristic
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#947—24no—
294#946—24no—
295#946D418yescomplemented
296#940—42no—
297#939—24no—
298#938—42no—
299#937—24no—
300#937—42no—
301#929—24no—
302C4×#67—24no—
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×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×C4⋊Dic3C2311yescharacteristic
334C2×C4⋊Dic3C2311yescharacteristic
335C2×C4⋊Dic3C2311yescharacteristic
336C2×C4⋊Dic3C2311yescharacteristic
337C2×C4⋊Dic3C2311yescharacteristic
338C2×C4⋊Dic3C2311yescharacteristic
339C2×C4⋊Dic3C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364#898—24no—
365#895—42no—
366#895—42no—
367#894—24no—
368#894—42no—
369#893—24no—
370D3×C4⋊C4—24no—
371#889—24no—
372#889—24no—
373#886—24no—
374#884—24no—
375#884—24no—
376#884—24no—
377#884—24no—
378#884—24no—
379#883—24no—
380#883—24no—
381#883—24no—
382#883—42no—
383#882—24no—
384#882—42no—
385#67⋊C4—24no—
386D3×C22⋊C4—24no—
387D3×C22⋊C4—24no—
388D3×C22⋊C4—42no—
389#879—24no—
390#879—24no—
391#876—24no—
392C4×D12—24no—
393C42×D3—42no—
394C3×#95C2311yescharacteristic
395C3×#95C2311yescharacteristic
396C3×#95C2311yescharacteristic
397C3×#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420#539—68no—
421#538—68no—
422C2×#127—31no—
423C2×#126—31no—
424C2×#126—31no—
425C2×#126—31no—
426C2×#126—31no—
427C2×#125—31no—
428C2×#125—31no—
429C2×#124—31no—
430C2×#124C2×D311yescharacteristic
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×#123—31no—
439C2×C22⋊Q8—31no—
440C2×C22⋊Q8—31no—
441C2×C22⋊Q8C2×D311yescharacteristic, complemented
442C2×#121—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121C2×D311yescharacteristic
452C2×#120—31no—
453C2×#120—31no—
454C2×#120—31no—
455C2×#120—31no—
456C2×C4×Q8C2×D311yescharacteristic, complemented
457C2×C4×D4—31no—
458C2×C4×D4—31no—
459C2×C4×D4—31no—
460C2×C4×D4—31no—
461C22×C4⋊C4—31no—
462C22×C22⋊C4—31no—
463C22×C22⋊C4—31no—
464C22×C22⋊C4—31no—
465C22×C42—31no—
466#399—31no—
467#399—31no—
468#399—31no—
469#399—31no—
470#398—31no—
471#398—31no—
472#398—31no—
473#398—31no—
474#397—31no—
475#397—31no—
476#397—31no—
477#397—31no—
478#396—31no—
479#396—31no—
480#396—31no—
481#396—31no—
482#396—31no—
483#396—31no—
484#396C2×D311yescharacteristic
485#396C2×D311yescharacteristic, complemented
486#394—31no—
487#394—31no—
488#394—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394C2×D311yescharacteristic
497#394C2×D311yescharacteristic, complemented
498#392—31no—
499#392—31no—
500#392—31no—
501#392—31no—
502#392—31no—
503#392—31no—
504#392—31no—
505#392—31no—
506#391—31no—
507#390—31no—
508#390—31no—
509#390—31no—
510#390—31no—
511#390—31no—
512#390—31no—
513#390—31no—
514#390—31no—
515#390—31no—
516#390—31no—
517#390—31no—
518#390—31no—
519#390—31no—
520#390C2×D311yescharacteristic
521#390C2×D311yescharacteristic
522#390C2×D311yescharacteristic, complemented
523#389—31no—
524#389—31no—
525#389C2×D311yescharacteristic, complemented
526#388—31no—
527#388—31no—
528#388—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#388—31no—
535#388—31no—
536#388—31no—
537#388—31no—
538#388—31no—
539#388—31no—
540#388C2×D311yescharacteristic
541#388C2×D311yescharacteristic, complemented
542#387—31no—
543#387—31no—
544#387—31no—
545#387—31no—
546#387—31no—
547#387—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386—31no—
557#386—31no—
558#386—31no—
559#386—31no—
560#385—31no—
561#385—31no—
562#384—31no—
563#380—31no—
564#380—31no—
565#380—31no—
566C4×C4⋊C4—31no—
567C4×C4⋊C4—31no—
568C4×C4⋊C4—31no—
569C4×C22⋊C4—31no—
570C4×C22⋊C4—31no—
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C4×C22⋊C4—31no—
574C4×C22⋊C4C2×D311yescharacteristic, complemented
575C2×#95—31no—
576C2×#95—31no—
577C24×C3C2411yescharacteristic
578C24×C3C2411yescharacteristic
579C24×C3C2411yescharacteristic
580C23×D3—22no—
581C23×D3—22no—
582C23×D3—22no—
583C23×D3—41no—
584C23×D3—41no—
585C23×D3—41no—
586C23×D3—41no—
587C23×D3C2411yescharacteristic
588C23×D3C2411yescharacteristic
589C23×D3C2411yescharacteristic
590C23×D3C2411yescharacteristic
591C2×C3×Q8—41no—
592C2×C3×Q8—41no—
593C2×C3×Q8C2×D414yes—
594C2×C3×D4—22no—
595C2×C3×D4—22no—
596C2×C3×D4—41no—
597C2×C3×D4—41no—
598C2×C3×D4—41no—
599C2×C3×D4—41no—
600C2×C3×D4—41no—
601C2×C3×D4—41no—
602C2×C3×D4—41no—
603C22×C3×C4—22no—
604C22×C3×C4—41no—
605C22×C3×C4—41no—
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
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C2×#67—22no—
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—22no—
626C2×#67—22no—
627C2×#67—22no—
628C2×#67—22no—
629C2×#67—22no—
630C2×#67—41no—
631C2×#67—41no—
632C2×#67—41no—
633C2×#67—41no—
634C2×#67—41no—
635C2×#67—41no—
636C2×#67—41no—
637C2×#67—41no—
638C2×#67—41no—
639C2×#67—41no—
640C2×#67—41no—
641C2×#67—41no—
642C2×#67—41no—
643C2×#67—41no—
644C2×#67—41no—
645C2×#67—41no—
646C2×#67—41no—
647C2×#67—41no—
648C22×Dic3—22no—
649C22×Dic3—41no—
650C22×Dic3—41no—
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657C22×Dic3C2411yescharacteristic
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660C22×Dic3C2411yescharacteristic
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663C2×D12—22no—
664C2×D12—22no—
665C2×D12—22no—
666C2×D12—22no—
667C2×D12—22no—
668C2×D12—22no—
669C2×D12—22no—
670C2×D12—22no—
671C2×D12—41no—
672C2×D12—41no—
673C2×D12—41no—
674C2×D12—41no—
675C2×D12—41no—
676C2×D12—41no—
677C2×D12—41no—
678C2×C4×D3—22no—
679C2×C4×D3—22no—
680C2×C4×D3—22no—
681C2×C4×D3—22no—
682C2×C4×D3—22no—
683C2×C4×D3—22no—
684C2×C4×D3—22no—
685C2×C4×D3—22no—
686C2×C4×D3—22no—
687C2×C4×D3—41no—
688C2×C4×D3—41no—
689C2×C4×D3—41no—
690C2×C4×D3—41no—
691C2×C4×D3—41no—
692C2×C4×D3—41no—
693C2×C4×D3—41no—
694C2×C4×D3—41no—
695C2×C4×D3—41no—
696C2×C4×D3—41no—
697C2×C4×D3—41no—
698C2×C4×D3—41no—
699C2×C4×D3—41no—
700C2×C4×D3C2×D414yes—
701C2×C4×D3#4114yes—
702C3×C4⋊C4—22no—
703C3×C4⋊C4—22no—
704C3×C4⋊C4—22no—
705C3×C4⋊C4—22no—
706C3×C4⋊C4—22no—
707C3×C4⋊C4—41no—
708C3×C4⋊C4—41no—
709C3×C4⋊C4—41no—
710C3×C22⋊C4—22no—
711C3×C22⋊C4—22no—
712C3×C22⋊C4—22no—
713C3×C22⋊C4—22no—
714C3×C22⋊C4—22no—
715C3×C22⋊C4—22no—
716C3×C22⋊C4—22no—
717C3×C22⋊C4—22no—
718C3×C22⋊C4—22no—
719C3×C22⋊C4—22no—
720C3×C22⋊C4—41no—
721C3×C22⋊C4—41no—
722C3×C22⋊C4—41no—
723C3×C22⋊C4—41no—
724C3×C42—22no—
725C3×C42—22no—
726C3×C42—41no—
727C3×C42—41no—
728#217—22no—
729#217—22no—
730#217—22no—
731#217—22no—
732#217—22no—
733#217—41no—
734#217—41no—
735#217—41no—
736#217—41no—
737#217—41no—
738#217—41no—
739#217—41no—
740(C2×D3)⋊C4—22no—
741(C2×D3)⋊C4—22no—
742(C2×D3)⋊C4—22no—
743(C2×D3)⋊C4—22no—
744(C2×D3)⋊C4—22no—
745(C2×D3)⋊C4—22no—
746(C2×D3)⋊C4—22no—
747(C2×D3)⋊C4—22no—
748(C2×D3)⋊C4—22no—
749(C2×D3)⋊C4—22no—
750(C2×D3)⋊C4—22no—
751(C2×D3)⋊C4—22no—
752(C2×D3)⋊C4—22no—
753(C2×D3)⋊C4—22no—
754(C2×D3)⋊C4—22no—
755(C2×D3)⋊C4—22no—
756(C2×D3)⋊C4—22no—
757(C2×D3)⋊C4—41no—
758(C2×D3)⋊C4—41no—
759(C2×D3)⋊C4—41no—
760(C2×D3)⋊C4—41no—
761(C2×D3)⋊C4—41no—
762(C2×D3)⋊C4—41no—
763(C2×D3)⋊C4—41no—
764(C2×D3)⋊C4—41no—
765(C2×D3)⋊C4—41no—
766(C2×D3)⋊C4—41no—
767(C2×D3)⋊C4—41no—
768(C2×D3)⋊C4C2×D414yes—
769(C2×D3)⋊C4C2×D414yes—
770C4⋊Dic3—22no—
771C4⋊Dic3—22no—
772C4⋊Dic3—22no—
773C4⋊Dic3—41no—
774C4⋊Dic3—41no—
775C4⋊Dic3—41no—
776C4⋊Dic3C2×D414yes—
777Dic3⋊C4—22no—
778Dic3⋊C4—22no—
779Dic3⋊C4—22no—
780Dic3⋊C4—22no—
781Dic3⋊C4—22no—
782Dic3⋊C4—22no—
783Dic3⋊C4—22no—
784Dic3⋊C4—22no—
785Dic3⋊C4—22no—
786Dic3⋊C4—22no—
787Dic3⋊C4—41no—
788Dic3⋊C4—41no—
789Dic3⋊C4—41no—
790Dic3⋊C4—41no—
791Dic3⋊C4C2×D414yes—
792Dic3⋊C4C2×D414yes—
793C4×Dic3—22no—
794C4×Dic3—22no—
795C4×Dic3—22no—
796C4×Dic3—22no—
797C4×Dic3—41no—
798C4×Dic3—41no—
799C4×Dic3—41no—
800C4×Dic3—41no—
801C25—31no—
802C22×Q8C22×D311yescharacteristic
803C22×D4—31no—
804C22×D4—31no—
805C22×D4—31no—
806C22×D4—31no—
807C22×D4—31no—
808C22×D4—31no—
809C22×D4—31no—
810C22×D4—31no—
811C22×D4—31no—
812C22×D4—31no—
813C22×D4—31no—
814C22×D4—31no—
815C22×D4—31no—
816C22×D4—31no—
817C22×D4—31no—
818C22×D4C22×D311yescharacteristic
819C22×D4C22×D311yescharacteristic
820C22×D4C22×D311yescharacteristic
821C23×C4—31no—
822C23×C4—31no—
823C23×C4—31no—
824C23×C4—31no—
825C23×C4—31no—
826C23×C4—31no—
827C23×C4—31no—
828C23×C4—31no—
829C23×C4—31no—
830C23×C4C22×D311yescharacteristic
831#127—122no—
832#126—64no—
833#126—64no—
834#126—64no—
835#126—64no—
836#125—64no—
837#125—64no—
838#124—24no—
839#124—64no—
840#123—64no—
841#123—64no—
842#123—64no—
843#123—64no—
844#123—64no—
845#123—64no—
846#123—122no—
847#123—122no—
848C22⋊Q8—24no—
849C22⋊Q8—38no—
850C22⋊Q8—64no—
851#121—42no—
852#121—64no—
853#121—64no—
854#121—64no—
855#121—64no—
856#121—64no—
857#121—64no—
858#121—122no—
859#121—122no—
860#121—122no—
861#120—64no—
862#120—64no—
863#120—122no—
864#120—122no—
865C4×Q8—42no—
866C4×D4—64no—
867C4×D4—64no—
868C4×D4—64no—
869C4×D4—64no—
870C2×C4⋊C4—31no—
871C2×C4⋊C4—31no—
872C2×C4⋊C4—31no—
873C2×C4⋊C4—31no—
874C2×C4⋊C4—31no—
875C2×C4⋊C4—31no—
876C2×C4⋊C4—31no—
877C2×C4⋊C4—31no—
878C2×C4⋊C4—31no—
879C2×C4⋊C4—31no—
880C2×C4⋊C4—31no—
881C2×C4⋊C4—31no—
882C2×C4⋊C4—31no—
883C2×C4⋊C4—31no—
884C2×C4⋊C4—31no—
885C2×C4⋊C4—31no—
886C2×C4⋊C4—31no—
887C2×C4⋊C4—31no—
888C2×C4⋊C4—31no—
889C2×C4⋊C4—31no—
890C2×C4⋊C4—31no—
891C2×C4⋊C4—31no—
892C2×C4⋊C4—31no—
893C2×C4⋊C4—64no—
894C2×C4⋊C4C22×D311yescharacteristic
895C2×C4⋊C4C22×D311yescharacteristic
896C2×C4⋊C4C22×D311yescharacteristic
897C2×C4⋊C4C22×D311yescharacteristic
898C2×C4⋊C4C22×D311yescharacteristic
899C2×C4⋊C4C22×D311yescharacteristic
900C2×C4⋊C4C22×D311yescharacteristic
901C2×C4⋊C4C22×D311yescharacteristic
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—31no—
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—31no—
915C2×C22⋊C4—31no—
916C2×C22⋊C4—31no—
917C2×C22⋊C4—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—31no—
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊C4—31no—
943C2×C22⋊C4—31no—
944C2×C22⋊C4—64no—
945C2×C22⋊C4—64no—
946C2×C22⋊C4—122no—
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×C42—31no—
962C2×C42—31no—
963C2×C42—31no—
964C2×C42—31no—
965C2×C42—31no—
966C2×C42—31no—
967C2×C42—31no—
968C2×C42—31no—
969C2×C42—122no—
970C2×C42C22×D311yescharacteristic
971C2×C42C22×D311yescharacteristic
972C2×C42C22×D311yescharacteristic
973C2×C42C22×D311yescharacteristic
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#95C22×D311yescharacteristic
997#95C22×D311yescharacteristic
998#95C22×D311yescharacteristic
999#95C22×D311yescharacteristic
1000C23×C3—21no—
1001C23×C3—21no—
1002C23×C3—21no—
1003C23×C3—21no—
1004C23×C3—21no—
1005C23×C3—21no—
1006C23×C3—21no—
1007C23×C3—21no—
1008C23×C3—21no—
1009C23×C3—21no—
1010C23×C3—21no—
1011C23×C3—21no—
1012C23×C3—21no—
1013C23×C3—21no—
1014C23×C3—21no—
1015C23×C3—21no—
1016C23×C3—21no—
1017C23×C3—21no—
1018C23×C3—21no—
1019C23×C3—21no—
1020C23×C3—21no—
1021C23×C3C2511yescharacteristic
1022C22×D3—21no—
1023C22×D3—21no—
1024C22×D3—21no—
1025C22×D3—21no—
1026C22×D3—21no—
1027C22×D3—21no—
1028C22×D3—21no—
1029C22×D3—21no—
1030C22×D3—21no—
1031C22×D3—21no—
1032C22×D3—21no—
1033C22×D3—21no—
1034C22×D3—21no—
1035C22×D3—21no—
1036C22×D3—21no—
1037C22×D3—21no—
1038C22×D3—21no—
1039C22×D3—21no—
1040C22×D3—21no—
1041C22×D3—21no—
1042C22×D3—21no—
1043C22×D3—21no—
1044C22×D3—21no—
1045C22×D3—21no—
1046C22×D3—21no—
1047C22×D3—44no—
1048C22×D3—44no—
1049C22×D3—44no—
1050C22×D3—82no—
1051C22×D3—82no—
1052C22×D3—82no—
1053C22×D3—82no—
1054C22×D3C22×D412yes—
1055C22×D3C2×#4112yes—
1056C22×D3H(5,𝔽2)12yes—
1057C3×Q8—44no—
1058C3×D4—82no—
1059C3×D4—82no—
1060C3×D4—82no—
1061C2×C3×C4—21no—
1062C2×C3×C4—21no—
1063C2×C3×C4—21no—
1064C2×C3×C4—21no—
1065C2×C3×C4—21no—
1066C2×C3×C4—21no—
1067C2×C3×C4—21no—
1068C2×C3×C4—21no—
1069C2×C3×C4—21no—
1070C2×C3×C4—21no—
1071C2×C3×C4—21no—
1072C2×C3×C4—21no—
1073C2×C3×C4—21no—
1074C2×C3×C4—21no—
1075C2×C3×C4—21no—
1076C2×C3×C4—21no—
1077C2×C3×C4—21no—
1078C2×C3×C4—21no—
1079C2×C3×C4—21no—
1080C2×C3×C4—21no—
1081C2×C3×C4—21no—
1082C2×C3×C4—21no—
1083C2×C3×C4—21no—
1084C2×C3×C4—21no—
1085C2×C3×C4—21no—
1086C2×C3×C4—21no—
1087C2×C3×C4—21no—
1088C2×C3×C4—21no—
1089C2×C3×C4—21no—
1090C2×C3×C4—21no—
1091C2×C3×C4—21no—
1092C2×C3×C4—82no—
1093C2×C3×C4C22×D412yes—
1094C2×C3×C4C22×D412yes—
1095C2×C3×C4C22×D412yes—
1096C2×C3×C4C2×#4112yes—
1097C2×C3×C4H(5,𝔽2)12yes—
1098#67—44no—
1099#67—44no—
1100#67—82no—
1101#67—82no—
1102#67—82no—
1103#67—82no—
1104#67—82no—
1105#67—82no—
1106#67—82no—
1107#67—82no—
1108C2×Dic3—21no—
1109C2×Dic3—21no—
1110C2×Dic3—21no—
1111C2×Dic3—21no—
1112C2×Dic3—21no—
1113C2×Dic3—21no—
1114C2×Dic3—21no—
1115C2×Dic3—21no—
1116C2×Dic3—21no—
1117C2×Dic3—21no—
1118C2×Dic3—21no—
1119C2×Dic3—21no—
1120C2×Dic3—21no—
1121C2×Dic3—21no—
1122C2×Dic3—21no—
1123C2×Dic3—21no—
1124C2×Dic3—21no—
1125C2×Dic3—21no—
1126C2×Dic3—21no—
1127C2×Dic3—21no—
1128C2×Dic3—21no—
1129C2×Dic3—21no—
1130C2×Dic3—21no—
1131C2×Dic3—21no—
1132C2×Dic3—21no—
1133C2×Dic3—21no—
1134C2×Dic3—21no—
1135C2×Dic3—21no—
1136C2×Dic3—21no—
1137C2×Dic3—21no—
1138C2×Dic3—21no—
1139C2×Dic3—21no—
1140C2×Dic3—82no—
1141C2×Dic3C22×D412yes—
1142C2×Dic3C22×D412yes—
1143C2×Dic3C22×D412yes—
1144C2×Dic3C2×#4112yes—
1145D12—44no—
1146D12—44no—
1147D12—82no—
1148D12—82no—
1149D12—82no—
1150C4×D3—44no—
1151C4×D3—44no—
1152C4×D3—44no—
1153C4×D3—44no—
1154C4×D3—82no—
1155C4×D3—82no—
1156C4×D3—82no—
1157C4×D3—82no—
1158C24—31no—
1159C24—31no—
1160C24—31no—
1161C24—31no—
1162C24—62no—
1163C24—62no—
1164C24—62no—
1165C24—121no—
1166C24—121no—
1167C24—121no—
1168C24—121no—
1169C24C23×D311yescharacteristic
1170C24C23×D311yescharacteristic
1171C24C23×D311yescharacteristic
1172C2×Q8—41no—
1173C2×Q8—41no—
1174C2×Q8D3×D414yes—
1175C2×D4—22no—
1176C2×D4—22no—
1177C2×D4—41no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—62no—
1185C2×D4—62no—
1186C2×D4—62no—
1187C2×D4—62no—
1188C2×D4—62no—
1189C2×D4—62no—
1190C2×D4—62no—
1191C2×D4—62no—
1192C2×D4—62no—
1193C2×D4—62no—
1194C2×D4—62no—
1195C2×D4—62no—
1196C2×D4—62no—
1197C2×D4—62no—
1198C2×D4—62no—
1199C2×D4—62no—
1200C2×D4—62no—
1201C2×D4—62no—
1202C2×D4—62no—
1203C2×D4—62no—
1204C2×D4—121no—
1205C2×D4—121no—
1206C2×D4—121no—
1207C2×D4—121no—
1208C2×D4—121no—
1209C2×D4—121no—
1210C2×D4—121no—
1211C2×D4—121no—
1212C2×D4—121no—
1213C2×D4—121no—
1214C2×D4—121no—
1215C2×D4—121no—
1216C2×D4—121no—
1217C2×D4—121no—
1218C2×D4—121no—
1219C2×D4—121no—
1220C2×D4—121no—
1221C2×D4—121no—
1222C2×D4—121no—
1223C2×D4—121no—
1224C2×D4—121no—
1225C2×D4—121no—
1226C2×D4—121no—
1227C2×D4—121no—
1228C2×D4—121no—
1229C22×C4—22no—
1230C22×C4—31no—
1231C22×C4—31no—
1232C22×C4—31no—
1233C22×C4—31no—
1234C22×C4—34no—
1235C22×C4—34no—
1236C22×C4—31no—
1237C22×C4—31no—
1238C22×C4—31no—
1239C22×C4—31no—
1240C22×C4—31no—
1241C22×C4—31no—
1242C22×C4—31no—
1243C22×C4—31no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—62no—
1247C22×C4—62no—
1248C22×C4—62no—
1249C22×C4—62no—
1250C22×C4—62no—
1251C22×C4—62no—
1252C22×C4—62no—
1253C22×C4—62no—
1254C22×C4—62no—
1255C22×C4—62no—
1256C22×C4—121no—
1257C22×C4—121no—
1258C22×C4—121no—
1259C22×C4—121no—
1260C22×C4—121no—
1261C22×C4—121no—
1262C22×C4—121no—
1263C22×C4—121no—
1264C22×C4—121no—
1265C22×C4—121no—
1266C22×C4—121no—
1267C22×C4—121no—
1268C22×C4—121no—
1269C22×C4—121no—
1270C22×C4—121no—
1271C22×C4C23×D311yescharacteristic
1272C22×C4C23×D311yescharacteristic
1273C22×C4C23×D311yescharacteristic
1274C22×C4C23×D311yescharacteristic
1275C22×C4C23×D311yescharacteristic
1276C22×C4C23×D311yescharacteristic
1277C22×C4C23×D311yescharacteristic
1278C22×C4C23×D311yescharacteristic
1279C22×C4C23×D311yescharacteristic
1280C22×C4C23×D311yescharacteristic
1281C22×C4C23×D311yescharacteristic
1282C22×C4C23×D311yescharacteristic
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—22no—
1287C4⋊C4—22no—
1288C4⋊C4—34no—
1289C4⋊C4—34no—
1290C4⋊C4—34no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—62no—
1295C4⋊C4—62no—
1296C4⋊C4—62no—
1297C4⋊C4—62no—
1298C4⋊C4—62no—
1299C4⋊C4—62no—
1300C4⋊C4—62no—
1301C4⋊C4—62no—
1302C4⋊C4—62no—
1303C4⋊C4—62no—
1304C4⋊C4—62no—
1305C4⋊C4—62no—
1306C4⋊C4—62no—
1307C4⋊C4—121no—
1308C4⋊C4—121no—
1309C4⋊C4—121no—
1310C4⋊C4—121no—
1311C4⋊C4—121no—
1312C4⋊C4—121no—
1313C4⋊C4—121no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—34no—
1325C22⋊C4—34no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—62no—
1331C22⋊C4—62no—
1332C22⋊C4—62no—
1333C22⋊C4—62no—
1334C22⋊C4—62no—
1335C22⋊C4—62no—
1336C22⋊C4—62no—
1337C22⋊C4—62no—
1338C22⋊C4—62no—
1339C22⋊C4—62no—
1340C22⋊C4—62no—
1341C22⋊C4—62no—
1342C22⋊C4—62no—
1343C22⋊C4—62no—
1344C22⋊C4—62no—
1345C22⋊C4—62no—
1346C22⋊C4—62no—
1347C22⋊C4—62no—
1348C22⋊C4—62no—
1349C22⋊C4—62no—
1350C22⋊C4—62no—
1351C22⋊C4—62no—
1352C22⋊C4—121no—
1353C22⋊C4—121no—
1354C22⋊C4—121no—
1355C22⋊C4—121no—
1356C22⋊C4—121no—
1357C22⋊C4—121no—
1358C22⋊C4—121no—
1359C22⋊C4—121no—
1360C22⋊C4—121no—
1361C22⋊C4—121no—
1362C22⋊C4—121no—
1363C22⋊C4—121no—
1364C22⋊C4—121no—
1365C22⋊C4—121no—
1366C22⋊C4—121no—
1367C22⋊C4—121no—
1368C22⋊C4—121no—
1369C22⋊C4—121no—
1370C42—22no—
1371C42—22no—
1372C42—41no—
1373C42—41no—
1374C42—62no—
1375C42—62no—
1376C42—62no—
1377C42—62no—
1378C42—121no—
1379C42—121no—
1380C42—121no—
1381C42—121no—
1382C22×C3—41no—
1383C22×C3—41no—
1384C22×C3—41no—
1385C22×C3—41no—
1386C22×C3—41no—
1387C22×C3—41no—
1388C22×C3—41no—
1389C22×C3—41no—
1390C22×C3—41no—
1391C22×C3—41no—
1392C22×C3—41no—
1393C22×C3—41no—
1394C22×C3—41no—
1395C22×C3—41no—
1396C22×C3—41no—
1397C22×C3—41no—
1398C22×C3—41no—
1399C22×C3—41no—
1400C22×C3—41no—
1401C22×C3—41no—
1402C22×C3—41no—
1403C22×C3C23×D411yescharacteristic
1404C22×C3C22×#4111yescharacteristic
1405C22×C3C2×H(5,𝔽2)11yescharacteristic
1406C22×C3C2×H(5,𝔽2)11yescharacteristic
1407C22×C3#58511yescharacteristic
1408C22×C3#58511yescharacteristic
1409C22×C3#58511yescharacteristic
1410C2×D3—22no—
1411C2×D3—22no—
1412C2×D3—22no—
1413C2×D3—22no—
1414C2×D3—22no—
1415C2×D3—22no—
1416C2×D3—41no—
1417C2×D3—41no—
1418C2×D3—41no—
1419C2×D3—41no—
1420C2×D3—41no—
1421C2×D3—41no—
1422C2×D3—41no—
1423C2×D3—41no—
1424C2×D3—41no—
1425C2×D3—41no—
1426C2×D3—41no—
1427C2×D3—41no—
1428C2×D3—41no—
1429C2×D3—41no—
1430C2×D3—41no—
1431C2×D3—41no—
1432C2×D3—41no—
1433C2×D3—41no—
1434C2×D3—41no—
1435C2×D3—41no—
1436C2×D3—41no—
1437C2×D3—88no—
1438C2×D3#55014yes—
1439C3×C4—22no—
1440C3×C4—22no—
1441C3×C4—22no—
1442C3×C4—22no—
1443C3×C4—22no—
1444C3×C4—41no—
1445C3×C4—41no—
1446C3×C4—41no—
1447C3×C4—41no—
1448C3×C4—41no—
1449C3×C4—41no—
1450C3×C4—41no—
1451Dic3—22no—
1452Dic3—22no—
1453Dic3—22no—
1454Dic3—22no—
1455Dic3—41no—
1456Dic3—41no—
1457Dic3—41no—
1458Dic3—41no—
1459Dic3—41no—
1460Dic3—41no—
1461Dic3—41no—
1462Dic3—41no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—32no—
1485C23—32no—
1486C23—32no—
1487C23—61no—
1488C23—61no—
1489C23—61no—
1490C23—61no—
1491C23—61no—
1492C23—61no—
1493C23—61no—
1494C23—61no—
1495C23—61no—
1496C23—61no—
1497C23—61no—
1498C23—61no—
1499C23—61no—
1500C23—61no—
1501C23—61no—
1502C23—61no—
1503C23—61no—
1504C23—61no—
1505C23—61no—
1506C23—61no—
1507C23—61no—
1508C23—61no—
1509C23—61no—
1510C23—61no—
1511C23—61no—
1512C23—124no—
1513C23—124no—
1514C23—124no—
1515C23—242no—
1516C23—242no—
1517C23—242no—
1518C23—242no—
1519C23C24×D311yescharacteristic
1520Q8—44no—
1521D4—82no—
1522D4—82no—
1523D4—82no—
1524D4—124no—
1525D4—124no—
1526D4—124no—
1527D4—124no—
1528D4—242no—
1529D4—242no—
1530D4—242no—
1531D4—242no—
1532D4—242no—
1533D4—242no—
1534D4—242no—
1535D4—242no—
1536D4—242no—
1537D4—242no—
1538D4—242no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—32no—
1571C2×C4—32no—
1572C2×C4—32no—
1573C2×C4—32no—
1574C2×C4—61no—
1575C2×C4—61no—
1576C2×C4—61no—
1577C2×C4—61no—
1578C2×C4—61no—
1579C2×C4—61no—
1580C2×C4—61no—
1581C2×C4—61no—
1582C2×C4—61no—
1583C2×C4—61no—
1584C2×C4—61no—
1585C2×C4—61no—
1586C2×C4—61no—
1587C2×C4—61no—
1588C2×C4—61no—
1589C2×C4—61no—
1590C2×C4—61no—
1591C2×C4—61no—
1592C2×C4—61no—
1593C2×C4—61no—
1594C2×C4—61no—
1595C2×C4—61no—
1596C2×C4—61no—
1597C2×C4—61no—
1598C2×C4—61no—
1599C2×C4—61no—
1600C2×C4—61no—
1601C2×C4—61no—
1602C2×C4—61no—
1603C2×C4—61no—
1604C2×C4—61no—
1605C2×C4—61no—
1606C2×C4—82no—
1607C2×C4—124no—
1608C2×C4—124no—
1609C2×C4—124no—
1610C2×C4—124no—
1611C2×C4—242no—
1612C2×C4—242no—
1613C2×C4—242no—
1614C2×C4—242no—
1615C2×C4—242no—
1616C2×C4C2×D3×D412yes—
1617C2×C4C2×D3×D412yes—
1618C2×C4C2×D3×D412yes—
1619C2×C4#100412yes—
1620C2×C4D3×#4112yes—
1621C2×C3—81no—
1622C2×C3—81no—
1623C2×C3—81no—
1624C2×C3#345511yescharacteristic
1625C2×C3C2×#55011yescharacteristic
1626C2×C3#349611yescharacteristic
1627C2×C3#350011yescharacteristic
1628C2×C3#350511yescharacteristic
1629C2×C3#353411yescharacteristic
1630C2×C3#356011yescharacteristic
1631D3—24no—
1632D3—81no—
1633D3—81no—
1634D3—81no—
1635C22—34no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—62no—
1658C22—62no—
1659C22—62no—
1660C22—62no—
1661C22—62no—
1662C22—62no—
1663C22—121no—
1664C22—121no—
1665C22—121no—
1666C22—121no—
1667C22—121no—
1668C22—121no—
1669C22—121no—
1670C22—121no—
1671C22—121no—
1672C22—121no—
1673C22—121no—
1674C22—121no—
1675C22—121no—
1676C22—121no—
1677C22—121no—
1678C22—121no—
1679C22—121no—
1680C22—121no—
1681C22—121no—
1682C22—121no—
1683C22—121no—
1684C22—248no—
1685C22C22×D3×D411yescharacteristic
1686C22C2×#100411yescharacteristic
1687C22C2×D3×#4111yescharacteristic
1688C22#596411yescharacteristic
1689C22#596411yescharacteristic
1690C22D3×H(5,𝔽2)11yescharacteristic
1691C22#596811yescharacteristic
1692C4—22no—
1693C4—22no—
1694C4—22no—
1695C4—22no—
1696C4—22no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—62no—
1705C4—62no—
1706C4—62no—
1707C4—62no—
1708C4—121no—
1709C4—121no—
1710C4—121no—
1711C4—121no—
1712C4—121no—
1713C4—121no—
1714C4—121no—
1715C4—121no—
1716C3#3938011yescharacteristic, complemented, Sylow
1717C2—64no—
1718C2—81no—
1719C2—81no—
1720C2—81no—
1721C2—241no—
1722C2—241no—
1723C2—241no—
1724C2#8595011yescharacteristic
1725C2#8614611yescharacteristic
1726C2#8656811yescharacteristic
1727C2#8664511yescharacteristic
1728C2#8671511yescharacteristic
1729C2#8673811yescharacteristic
1730C2D3×#55011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2426C2
hypercenter#2426D3
hypocenterC3#39380
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2426

Complements

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

NH ≅ G/Ntype
1. C2×#5678C2semidirect
2. C2×#5638C2semidirect
3. C3×#2426C2semidirect
4. #83006C2semidirect
5. #82806C2semidirect
6. #82707C2semidirect
7. #82683C2semidirect
8. #82495C2semidirect
9. C4×#946C2semidirect
10. #77423C2semidirect
11. #77416C2semidirect
12. #77364C2semidirect
13. #77354C2semidirect
14. #77134C2semidirect
15. #77123C2semidirect
16. #77115C2semidirect
17. #77025C2semidirect
18. #76476C2semidirect
19. #76455C2semidirect
20. #76454C2semidirect
21. #76454C2semidirect
22. #76354C2semidirect
23. #76333C2semidirect
24. #76217C2semidirect
25. #76120C2semidirect
26. #75839C2semidirect
27. D3×#388C2semidirect
28. #75595C2semidirect
29. #75545C2semidirect
30. #73579C2semidirect
31. #73535C2semidirect
34. C2×C3×C22⋊Q8C22semidirect
36. C2×C3×C4×Q8C22semidirect
39. C2×#946C22semidirect
40. C2×#940C22semidirect
45. C2×#929C22semidirect
49. C2×#898C22semidirect
56. C2×#889C22semidirect
57. C2×#889C22semidirect
67. C2×#883C22semidirect
75. C2×#879C22semidirect
80. C3×#396C22semidirect
82. C3×#394C22semidirect
85. C3×#390C22semidirect
86. C3×#389C22semidirect
88. C3×#388C22semidirect
89. C3×C4×C22⋊C4C22semidirect
90. #5229C22semidirect
97. #5220C22semidirect
99. #5213C22semidirect
101. #4994C22semidirect
102. #4994C22semidirect
103. #4994C22semidirect
106. #4992C22semidirect
109. #4991C22semidirect
115. #4984C22semidirect
116. #4982C22semidirect
117. #4982C22semidirect
118. #4978C22semidirect
119. #4978C22semidirect
120. #4978C22semidirect
121. #4975C22semidirect
122. #4972C22semidirect
125. #4961C22semidirect
130. #4959C22semidirect
131. #4958C22semidirect
138. #4957C22semidirect
139. #4957C22semidirect
140. #4957C22semidirect
141. #4957C22semidirect
145. #4956C22semidirect
146. #4956C22semidirect
147. #4953C22semidirect
151. #4951C22semidirect
154. #4948C22semidirect
155. #4948C22semidirect
158. #4944C22semidirect
159. #4942C22semidirect
160. Dic3×C22⋊C4C22semidirect
162. #4940C22semidirect
163. #4940C22semidirect
166. #4939C22semidirect
169. C4×(C2×D3)⋊C4C22semidirect
170. C4×C4⋊Dic3C22semidirect
171. #4933C22semidirect
172. C4×Dic3⋊C4C22semidirect
173. C4×Dic3⋊C4C22semidirect
178. #4669C22semidirect
179. #4667C22semidirect
180. #4666C22semidirect
183. #4665C22semidirect
186. #4657C22semidirect
187. #4657C22semidirect
188. #4655C22semidirect
189. #4652C22semidirect
212. #2426D3semidirect
295. #946D4semidirect
441. C2×C22⋊Q8C2×D3semidirect
456. C2×C4×Q8C2×D3semidirect
485. #396C2×D3semidirect
497. #394C2×D3semidirect
522. #390C2×D3semidirect
525. #389C2×D3semidirect
541. #388C2×D3semidirect
574. C4×C22⋊C4C2×D3semidirect
1716. C3#39380semidirect

Maximal subgroups

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

subgroupindex
C2×#56782
C2×#56382
C3×#24262
#830062
#828062
#827072
#826832
#824952
C4×#9462
#774232
#774162
#773642
#773542
#771342
#771232
#771152
#770252
#764762
#764552
#764542
#763542
#763332
#762172
#761202
#758392
D3×#3882
#755952
#755452
#735792
#735352
#393803