Finite Group Databasebeta

← #11026013

Subgroups — #11026013

Order 768.

2432 conjugacy classes of subgroups.

The subgroup lattice has 1734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5657C211yesmaximal, characteristic, complemented
2C2×#5528C211yesmaximal, characteristic, complemented
3C3×#2471C211yesmaximal, characteristic, complemented
4#82852C211yesmaximal, characteristic, complemented
5#82244C211yesmaximal, characteristic, complemented
6#78114C211yesmaximal, characteristic, complemented
7#78067C211yesmaximal, characteristic, complemented
8#77690C211yesmaximal, characteristic, complemented
9#77596C211yesmaximal, characteristic, complemented
10#77431C211yesmaximal, characteristic, complemented
11#77426C211yesmaximal, characteristic, complemented
12#76768C211yesmaximal, characteristic, complemented
13#76766C211yesmaximal, characteristic, complemented
14#76443C211yesmaximal, characteristic, complemented
15#76442C211yesmaximal, characteristic, complemented
16#76442C211yesmaximal, characteristic, complemented
17#76377C211yesmaximal, characteristic, complemented
18#75957C211yesmaximal, characteristic, complemented
19#75832C211yesmaximal, characteristic, complemented
20#75327C211yesmaximal, characteristic, complemented
21#75324C211yesmaximal, characteristic, complemented
22#74999C211yesmaximal, characteristic, complemented
23#74953C211yesmaximal, characteristic, complemented
24#74894C211yesmaximal, characteristic, complemented
25#74784C211yesmaximal, characteristic, complemented
26#74721C211yesmaximal, characteristic, complemented
27#74716C211yesmaximal, characteristic, complemented
28#74698C211yesmaximal, characteristic, complemented
29#74698C211yesmaximal, characteristic, complemented
30#73595C211yesmaximal, characteristic, complemented
31C4×#884C211yesmaximal, characteristic, complemented
32#37737—31nomaximal, Sylow
33C2×C3×#123C2211yescharacteristic
34C2×C3×#117C2211yescharacteristic, complemented
35C2×#940C2211yescharacteristic, complemented
36C2×#938C2211yescharacteristic
37C2×#937C2211yescharacteristic
38C2×#937C2211yescharacteristic
39C2×#936C2211yescharacteristic
40C2×#930C2211yescharacteristic
41C2×#930C2211yescharacteristic
42C2×C4×#67C2211yescharacteristic
43C2×C4×#67C2211yescharacteristic
44C2×C4×#67C2211yescharacteristic, complemented
45C2×C4×#67C2211yescharacteristic, complemented
46#5657—28no—
47#5528—28no—
48C2×#898C2211yescharacteristic
49C2×#897C2211yescharacteristic
50C2×#897C2211yescharacteristic, complemented
51C2×#896C2211yescharacteristic, complemented
52C2×#896C2211yescharacteristic, complemented
53C2×#894C2211yescharacteristic
54C2×#894C2211yescharacteristic
55C2×#893C2211yescharacteristic
56C2×#889C2211yescharacteristic, complemented
57C2×#885C2211yescharacteristic
58C2×#885C2211yescharacteristic
59C2×#885C2211yescharacteristic
60C2×#884C2211yescharacteristic
61C2×#884C2211yescharacteristic
62C2×#884C2211yescharacteristic
63C2×#884C2211yescharacteristic
64C2×#884C2211yescharacteristic
65C2×#884C2211yescharacteristic
66C2×#884C2211yescharacteristic
67C2×#883C2211yescharacteristic, complemented
68C2×#882C2211yescharacteristic
69C2×#882C2211yescharacteristic
70C2×D3×C22⋊C4C2211yescharacteristic
71C2×D3×C22⋊C4C2211yescharacteristic
72C2×#879C2211yescharacteristic
73C2×#879C2211yescharacteristic, complemented
74C2×C4×D12C2211yescharacteristic
75C2×C4×D12C2211yescharacteristic
76C2×#872C2211yescharacteristic
77C2×C42×D3C2211yescharacteristic, complemented
78C2×C4×Dic6C2211yescharacteristic, complemented
79C3×#399C2211yescharacteristic, complemented
80C3×#397C2211yescharacteristic
81C3×#396C2211yescharacteristic, complemented
82C3×#392C2211yescharacteristic
83C3×#390C2211yescharacteristic
84C3×#390C2211yescharacteristic
85C3×#388C2211yescharacteristic
86C3×#387C2211yescharacteristic, complemented
87C3×#387C2211yescharacteristic, complemented
88C3×#386C2211yescharacteristic
89C3×#386C2211yescharacteristic, complemented
90C3×#386C2211yescharacteristic, complemented
91C3×C4×C22⋊C4C2211yescharacteristic, complemented
92#5223C2211yescharacteristic
93#5223C2211yescharacteristic
94#5223C2211yescharacteristic
95#5223C2211yescharacteristic
96#5223C2211yescharacteristic
97#5222C2211yescharacteristic
98#5222C2211yescharacteristic, complemented
99#5210C2211yescharacteristic, complemented
100C4×#217C2211yescharacteristic, complemented
101#4994C2211yescharacteristic, complemented
102#4991C2211yescharacteristic
103#4991C2211yescharacteristic
104#4990C2211yescharacteristic, complemented
105#4990C2211yescharacteristic, complemented
106#4989C2211yescharacteristic
107#4989C2211yescharacteristic
108#4989C2211yescharacteristic
109#4988C2211yescharacteristic
110#4987C2211yescharacteristic
111#4979C2211yescharacteristic, complemented
112#4979C2211yescharacteristic, complemented
113Dic3×C4⋊C4C2211yescharacteristic, complemented
114#4972C2211yescharacteristic, complemented
115#4972C2211yescharacteristic, complemented
116#4961C2211yescharacteristic
117#4961C2211yescharacteristic
118#4961C2211yescharacteristic, complemented
119#4961C2211yescharacteristic, complemented
120#4959C2211yescharacteristic
121#4959C2211yescharacteristic
122#4959C2211yescharacteristic
123#4959C2211yescharacteristic, complemented
124#4959C2211yescharacteristic, complemented
125#4959C2211yescharacteristic, complemented
126#4957C2211yescharacteristic
127#4957C2211yescharacteristic
128#4957C2211yescharacteristic
129#4957C2211yescharacteristic
130#4957C2211yescharacteristic, complemented
131#4957C2211yescharacteristic, complemented
132#4956C2211yescharacteristic
133#4956C2211yescharacteristic
134#4956C2211yescharacteristic
135#4956C2211yescharacteristic
136#4956C2211yescharacteristic, complemented
137#4956C2211yescharacteristic, complemented
138#4955C2211yescharacteristic
139#4951C2211yescharacteristic
140#4951C2211yescharacteristic, complemented
141#4949C2211yescharacteristic, complemented
142#4948C2211yescharacteristic
143#4948C2211yescharacteristic
144#4948C2211yescharacteristic
145#4948C2211yescharacteristic, complemented
146#4947C2211yescharacteristic, complemented
147#4945C2211yescharacteristic
148#4945C2211yescharacteristic
149#4945C2211yescharacteristic, complemented
150#4944C2211yescharacteristic
151#4940C2211yescharacteristic
152#4940C2211yescharacteristic
153#4940C2211yescharacteristic, complemented
154#4940C2211yescharacteristic, complemented
155C4×(C2×D3)⋊C4C2211yescharacteristic
156C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
157C4×Dic3⋊C4C2211yescharacteristic, complemented
158#4676C2211yescharacteristic
159#4673C2211yescharacteristic
160#4672C2211yescharacteristic
161#4672C2211yescharacteristic
162#4671C2211yescharacteristic
163#4671C2211yescharacteristic
164#4670C2211yescharacteristic, complemented
165#4669C2211yescharacteristic
166#4669C2211yescharacteristic
167#4669C2211yescharacteristic
168#4668C2211yescharacteristic
169#4668C2211yescharacteristic
170#4667C2211yescharacteristic, complemented
171#4666C2211yescharacteristic
172#4666C2211yescharacteristic
173#4665C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic, complemented
176#4665C2211yescharacteristic, complemented
177#4665C2211yescharacteristic, complemented
178#4664C2211yescharacteristic
179#4660C2211yescharacteristic, complemented
180#4657C2211yescharacteristic, complemented
181#4655C2211yescharacteristic, complemented
182#4653C2211yescharacteristic, complemented
183#4653C2211yescharacteristic, complemented
184#4652C2211yescharacteristic, complemented
185#4650C2211yescharacteristic, complemented
186#4647C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#538—31no—
191C2×#529—31no—
192#2850—31no—
193#2725—31no—
194#2711—31no—
195#2681—31no—
196#2678—31no—
197#2673—31no—
198#2672—31no—
199#2672—31no—
200#2670—31no—
201#2662—31no—
202#2636—31no—
203#2476—31no—
204#2471D311yescharacteristic, complemented
205#2467—31no—
206#2465—31no—
207#2463—31no—
208#2461—31no—
209#2459—31no—
210#2457—31no—
211#2428—31no—
212#2428—31no—
213#2426—31no—
214#2424—31no—
215#2424—31no—
216#2424—31no—
217#2363—31no—
218#2342—31no—
219#2334—31no—
220C4×#121—31no—
221C24×D3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×D12C2311yescharacteristic
238C22×D12C2311yescharacteristic
239C22×D12C2311yescharacteristic
240C22×D12C2311yescharacteristic
241C22×D12C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×C4×D3C2311yescharacteristic
244C22×C4×D3C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×Dic6C2311yescharacteristic
251C22×Dic6C2311yescharacteristic
252C3×#123—24no—
253C3×#117—24no—
254C2×C3×C4⋊C4C2311yescharacteristic
255C2×C3×C4⋊C4C2311yescharacteristic
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C22⋊C4C2311yescharacteristic
261C2×C3×C22⋊C4C2311yescharacteristic
262C2×C3×C22⋊C4C2311yescharacteristic
263C2×C3×C22⋊C4C2311yescharacteristic
264C2×C3×C22⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C42C2311yescharacteristic
274C2×C3×C42C2311yescharacteristic
275C2×C3×C42C2311yescharacteristic
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
289#940—42no—
290#938—24no—
291#937—24no—
292#937—42no—
293#936—42no—
294#930—24no—
295#930—24no—
296C4×#67—24no—
297C4×#67—24no—
298C4×#67—24no—
299C4×#67—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×(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×C4⋊Dic3C2311yescharacteristic
331C2×C4⋊Dic3C2311yescharacteristic
332C2×C4⋊Dic3C2311yescharacteristic
333C2×C4⋊Dic3C2311yescharacteristic
334C2×C4⋊Dic3C2311yescharacteristic
335C2×C4⋊Dic3C2311yescharacteristic
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×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×C4×Dic3C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361#898D418yescomplemented
362#897—24no—
363#897—42no—
364#896—24no—
365#896—42no—
366#894—24no—
367#894—24no—
368#893—24no—
369#889—24no—
370#885—24no—
371#885—24no—
372#885—24no—
373#884—24no—
374#884—24no—
375#884—24no—
376#884—42no—
377#884—42no—
378#884—42no—
379#884—42no—
380#883—24no—
381#882—24no—
382#882—42no—
383D3×C22⋊C4—24no—
384D3×C22⋊C4—24no—
385#879—24no—
386#879—24no—
387C4×D12—24no—
388C4×D12—42no—
389#872—24no—
390C42×D3—24no—
391C4×Dic6—24no—
392C3×#95C2311yescharacteristic
393C3×#95C2311yescharacteristic
394C3×#95C2311yescharacteristic
395C3×#95C2311yescharacteristic
396C3×#95C2311yescharacteristic
397C3×#95C2311yescharacteristic
398C3×#95C2311yescharacteristic
399C3×#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420#538—68no—
421C2×#127—31no—
422#529—68no—
423C2×#126—31no—
424C2×#126—31no—
425C2×#126—31no—
426C2×#125—31no—
427C2×#124—31no—
428C2×#124—31no—
429C2×#124—31no—
430C2×#124—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123C2×D311yescharacteristic
435C2×C22⋊Q8—31no—
436C2×C22⋊Q8—31no—
437C2×C22⋊Q8—31no—
438C2×C22⋊Q8—31no—
439C2×#121—31no—
440C2×#121—31no—
441C2×#121—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#120—31no—
450C2×#120—31no—
451C2×#120—31no—
452C2×#120—31no—
453C2×C4×Q8—31no—
454C2×C4×D4—31no—
455C2×C4×D4—31no—
456C2×C4×D4—31no—
457C2×C4×D4—31no—
458C2×C4×D4—31no—
459C2×C4×D4—31no—
460C2×C4×D4—31no—
461C2×#117—31no—
462C2×#117C2×D311yescharacteristic, complemented
463C22×C22⋊C4—31no—
464C22×C22⋊C4—31no—
465C22×C42—31no—
466#400—31no—
467#399—31no—
468#399C2×D311yescharacteristic, complemented
469#398—31no—
470#397C2×D311yescharacteristic
471#396—31no—
472#396—31no—
473#396—31no—
474#396—31no—
475#396—31no—
476#396—31no—
477#396C2×D311yescharacteristic, complemented
478#395—31no—
479#395—31no—
480#394—31no—
481#394—31no—
482#394—31no—
483#394—31no—
484#394—31no—
485#394—31no—
486#394—31no—
487#394—31no—
488#394—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#393—31no—
497#393—31no—
498#392—31no—
499#392—31no—
500#392—31no—
501#392—31no—
502#392—31no—
503#392—31no—
504#392—31no—
505#392C2×D311yescharacteristic
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#390C2×D311yescharacteristic
515#390C2×D311yescharacteristic
516#389—31no—
517#389—31no—
518#389—31no—
519#389—31no—
520#389—31no—
521#388—31no—
522#388—31no—
523#388—31no—
524#388—31no—
525#388—31no—
526#388—31no—
527#388—31no—
528#388—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#388—31no—
535#388—31no—
536#388—31no—
537#388C2×D311yescharacteristic
538#387—31no—
539#387—31no—
540#387—31no—
541#387—31no—
542#387C2×D311yescharacteristic, complemented
543#387C2×D311yescharacteristic, complemented
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386C2×D311yescharacteristic
556#386C2×D311yescharacteristic, complemented
557#386C2×D311yescharacteristic, complemented
558#385—31no—
559#385—31no—
560#385—31no—
561#385—31no—
562#385—31no—
563#385—31no—
564#382—31no—
565#381—31no—
566#380—31no—
567#380—31no—
568#379—31no—
569C4×C4⋊C4—31no—
570C4×C4⋊C4—31no—
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C4×C22⋊C4—31no—
574C4×C22⋊C4—31no—
575C4×C22⋊C4—31no—
576C4×C22⋊C4C2×D311yescharacteristic, complemented
577C24×C3C2411yescharacteristic
578C24×C3C2411yescharacteristic
579C24×C3C2411yescharacteristic
580C23×D3—22no—
581C23×D3—22no—
582C23×D3—41no—
583C23×D3—41no—
584C23×D3—41no—
585C23×D3—41no—
586C23×D3—41no—
587C23×D3C2411yescharacteristic
588C23×D3C2411yescharacteristic
589C23×D3C2411yescharacteristic
590C23×D3C2411yescharacteristic
591C2×C3×D4—22no—
592C2×C3×D4—41no—
593C2×C3×D4—41no—
594C2×C3×D4—41no—
595C2×C3×D4—41no—
596C2×C3×D4—41no—
597C2×C3×D4—41no—
598C2×C3×D4—41no—
599C2×C3×D4—41no—
600C22×C3×C4—22no—
601C22×C3×C4—22no—
602C22×C3×C4—22no—
603C22×C3×C4—41no—
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—22no—
631C2×#67—22no—
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×Dic3C2411yescharacteristic
649C22×Dic3C2411yescharacteristic
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657C22×Dic3C2411yescharacteristic
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660C2×D12—22no—
661C2×D12—22no—
662C2×D12—22no—
663C2×D12—22no—
664C2×D12—22no—
665C2×D12—22no—
666C2×D12—22no—
667C2×D12—22no—
668C2×D12—41no—
669C2×D12—41no—
670C2×D12—41no—
671C2×D12—41no—
672C2×D12—41no—
673C2×D12—41no—
674C2×D12—41no—
675C2×C4×D3—22no—
676C2×C4×D3—22no—
677C2×C4×D3—22no—
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×Dic6—22no—
700C2×Dic6—22no—
701C2×Dic6—22no—
702C2×Dic6—41no—
703C2×Dic6—41no—
704C2×Dic6—41no—
705C3×C4⋊C4—22no—
706C3×C4⋊C4—22no—
707C3×C4⋊C4—41no—
708C3×C4⋊C4—41no—
709C3×C4⋊C4—41no—
710C3×C4⋊C4C2×D414yes—
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—41no—
719C3×C22⋊C4—41no—
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—
727#217—22no—
728#217—22no—
729#217—22no—
730#217—22no—
731#217—22no—
732#217—22no—
733#217—22no—
734#217—22no—
735#217—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—41no—
755(C2×D3)⋊C4—41no—
756(C2×D3)⋊C4—41no—
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)⋊C4C2×D414yes—
767(C2×D3)⋊C4C2×D414yes—
768(C2×D3)⋊C4C2×D414yes—
769(C2×D3)⋊C4#4114yes—
770C4⋊Dic3—22no—
771C4⋊Dic3—22no—
772C4⋊Dic3—22no—
773C4⋊Dic3—22no—
774C4⋊Dic3—41no—
775C4⋊Dic3C2×D414yes—
776Dic3⋊C4—22no—
777Dic3⋊C4—22no—
778Dic3⋊C4—22no—
779Dic3⋊C4—22no—
780Dic3⋊C4—22no—
781Dic3⋊C4—22no—
782Dic3⋊C4—22no—
783Dic3⋊C4—22no—
784Dic3⋊C4—41no—
785Dic3⋊C4—41no—
786Dic3⋊C4—41no—
787Dic3⋊C4—41no—
788Dic3⋊C4—41no—
789Dic3⋊C4—41no—
790Dic3⋊C4—41no—
791Dic3⋊C4C2×D414yes—
792C4×Dic3—22no—
793C4×Dic3—22no—
794C4×Dic3—22no—
795C4×Dic3—22no—
796C4×Dic3—41no—
797C4×Dic3—41no—
798C4×Dic3—41no—
799C4×Dic3—41no—
800C4×Dic3C2×D414yes—
801C25—31no—
802C22×Q8—31no—
803C22×Q8—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×D4—31no—
819C22×D4C22×D311yescharacteristic
820C22×D4C22×D311yescharacteristic
821C22×D4C22×D311yescharacteristic
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
831C23×C4C22×D311yescharacteristic
832#127—122no—
833#126—38no—
834#126—64no—
835#126—64no—
836#125—64no—
837#124—64no—
838#124—64no—
839#124—64no—
840#124—122no—
841#123—24no—
842#123—64no—
843#123—64no—
844#123—64no—
845C22⋊Q8—64no—
846C22⋊Q8—64no—
847C22⋊Q8—122no—
848C22⋊Q8—122no—
849#121—64no—
850#121—64no—
851#121—64no—
852#121—64no—
853#121—64no—
854#121—64no—
855#121—122no—
856#121—122no—
857#121—122no—
858#121—122no—
859#120—64no—
860#120—64no—
861#120—122no—
862#120—122no—
863C4×Q8—64no—
864C4×D4—64no—
865C4×D4—64no—
866C4×D4—64no—
867C4×D4—64no—
868C4×D4—64no—
869C4×D4—122no—
870C4×D4—122no—
871#117—24no—
872#117—64no—
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—31no—
894C2×C4⋊C4—31no—
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×C22⋊C4—31no—
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—31no—
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—31no—
915C2×C22⋊C4—31no—
916C2×C22⋊C4—31no—
917C2×C22⋊C4—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—31no—
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—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⋊C4C22×D311yescharacteristic
947C2×C22⋊C4C22×D311yescharacteristic
948C2×C22⋊C4C22×D311yescharacteristic
949C2×C22⋊C4C22×D311yescharacteristic
950C2×C22⋊C4C22×D311yescharacteristic
951C2×C22⋊C4C22×D311yescharacteristic
952C2×C22⋊C4C22×D311yescharacteristic
953C2×C22⋊C4C22×D311yescharacteristic
954C2×C22⋊C4C22×D311yescharacteristic
955C2×C22⋊C4C22×D311yescharacteristic
956C2×C22⋊C4C22×D311yescharacteristic
957C2×C22⋊C4C22×D311yescharacteristic
958C2×C22⋊C4C22×D311yescharacteristic
959C2×C42—31no—
960C2×C42—31no—
961C2×C42—31no—
962C2×C42—31no—
963C2×C42—31no—
964C2×C42—31no—
965C2×C42—31no—
966C2×C42—31no—
967C2×C42—31no—
968C2×C42—64no—
969C2×C42C22×D311yescharacteristic
970C2×C42C22×D311yescharacteristic
971C2×C42C22×D311yescharacteristic
972#95—31no—
973#95—31no—
974#95—31no—
975#95—31no—
976#95—31no—
977#95—31no—
978#95—31no—
979#95—31no—
980#95—31no—
981#95—31no—
982#95—31no—
983#95—31no—
984#95—31no—
985#95—31no—
986#95—31no—
987#95—31no—
988#95—31no—
989#95—31no—
990#95—31no—
991#95—31no—
992#95C22×D311yescharacteristic
993#95C22×D311yescharacteristic
994#95C22×D311yescharacteristic
995#95C22×D311yescharacteristic
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—82no—
1050C22×D3—82no—
1051C22×D3—82no—
1052C22×D3—82no—
1053C22×D3—82no—
1054C22×D3C22×D412yes—
1055C22×D3C2×#4112yes—
1056C22×D3H(5,𝔽2)12yes—
1057C3×D4—82no—
1058C3×D4—82no—
1059C3×D4—82no—
1060C2×C3×C4—21no—
1061C2×C3×C4—21no—
1062C2×C3×C4—21no—
1063C2×C3×C4—21no—
1064C2×C3×C4—21no—
1065C2×C3×C4—21no—
1066C2×C3×C4—21no—
1067C2×C3×C4—21no—
1068C2×C3×C4—21no—
1069C2×C3×C4—21no—
1070C2×C3×C4—21no—
1071C2×C3×C4—21no—
1072C2×C3×C4—21no—
1073C2×C3×C4—21no—
1074C2×C3×C4—21no—
1075C2×C3×C4—21no—
1076C2×C3×C4—21no—
1077C2×C3×C4—21no—
1078C2×C3×C4—21no—
1079C2×C3×C4—21no—
1080C2×C3×C4—21no—
1081C2×C3×C4—21no—
1082C2×C3×C4—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—44no—
1093C2×C3×C4—82no—
1094C2×C3×C4C22×D412yes—
1095C2×C3×C4C22×D412yes—
1096C2×C3×C4C22×D412yes—
1097C2×C3×C4C2×#4112yes—
1098#67—44no—
1099#67—44no—
1100#67—44no—
1101#67—44no—
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×Dic3C22×D412yes—
1140C2×Dic3C22×D412yes—
1141C2×Dic3C22×D412yes—
1142C2×Dic3C2×#4112yes—
1143C2×Dic3H(5,𝔽2)12yes—
1144D12—44no—
1145D12—44no—
1146D12—44no—
1147D12—82no—
1148D12—82no—
1149C4×D3—44no—
1150C4×D3—44no—
1151C4×D3—44no—
1152C4×D3—44no—
1153C4×D3—82no—
1154C4×D3—82no—
1155C4×D3—82no—
1156C4×D3—82no—
1157Dic6—44no—
1158Dic6—82no—
1159C24—31no—
1160C24—31no—
1161C24—31no—
1162C24—31no—
1163C24—62no—
1164C24—62no—
1165C24—121no—
1166C24—121no—
1167C24—121no—
1168C24—121no—
1169C24—121no—
1170C24C23×D311yescharacteristic
1171C24C23×D311yescharacteristic
1172C24C23×D311yescharacteristic
1173C2×Q8—62no—
1174C2×Q8—62no—
1175C2×Q8—62no—
1176C2×Q8—121no—
1177C2×Q8—121no—
1178C2×Q8—121no—
1179C2×D4—22no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—41no—
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—62no—
1205C2×D4—62no—
1206C2×D4—62no—
1207C2×D4—62no—
1208C2×D4—62no—
1209C2×D4—62no—
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—
1229C2×D4—121no—
1230C2×D4—121no—
1231C2×D4—121no—
1232C2×D4—121no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
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—31no—
1245C22×C4—31no—
1246C22×C4—31no—
1247C22×C4—31no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—62no—
1252C22×C4—62no—
1253C22×C4—62no—
1254C22×C4—62no—
1255C22×C4—62no—
1256C22×C4—62no—
1257C22×C4—62no—
1258C22×C4—62no—
1259C22×C4—62no—
1260C22×C4—62no—
1261C22×C4—62no—
1262C22×C4—62no—
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×C4—121no—
1272C22×C4—121no—
1273C22×C4—121no—
1274C22×C4—121no—
1275C22×C4C23×D311yescharacteristic
1276C22×C4C23×D311yescharacteristic
1277C22×C4C23×D311yescharacteristic
1278C22×C4C23×D311yescharacteristic
1279C22×C4C23×D311yescharacteristic
1280C22×C4C23×D311yescharacteristic
1281C22×C4C23×D311yescharacteristic
1282C22×C4C23×D311yescharacteristic
1283C22×C4C23×D311yescharacteristic
1284C22×C4C23×D311yescharacteristic
1285C22×C4C23×D311yescharacteristic
1286C22×C4C23×D311yescharacteristic
1287C4⋊C4—22no—
1288C4⋊C4—22no—
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—121no—
1307C4⋊C4—121no—
1308C4⋊C4—121no—
1309C4⋊C4—121no—
1310C4⋊C4—121no—
1311C4⋊C4—121no—
1312C4⋊C4—121no—
1313C4⋊C4—121no—
1314C4⋊C4D3×D414yes—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—34no—
1323C22⋊C4—34no—
1324C22⋊C4—34no—
1325C22⋊C4—34no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
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—62no—
1353C22⋊C4—62no—
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—
1370C22⋊C4—121no—
1371C42—22no—
1372C42—22no—
1373C42—34no—
1374C42—41no—
1375C42—62no—
1376C42—62no—
1377C42—62no—
1378C42—62no—
1379C42—121no—
1380C42—121no—
1381C42—121no—
1382C42—121no—
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×C3—41no—
1404C22×C3C23×D411yescharacteristic
1405C22×C3C22×#4111yescharacteristic
1406C22×C3C2×H(5,𝔽2)11yescharacteristic
1407C22×C3C2×H(5,𝔽2)11yescharacteristic
1408C22×C3#58511yescharacteristic
1409C22×C3#58511yescharacteristic
1410C22×C3#58511yescharacteristic
1411C2×D3—22no—
1412C2×D3—22no—
1413C2×D3—22no—
1414C2×D3—22no—
1415C2×D3—22no—
1416C2×D3—22no—
1417C2×D3—22no—
1418C2×D3—22no—
1419C2×D3—22no—
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—41no—
1438C2×D3—41no—
1439C2×D3—88no—
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—
1451C3×C4—41no—
1452Dic3—22no—
1453Dic3—22no—
1454Dic3—22no—
1455Dic3—22no—
1456Dic3—22no—
1457Dic3—41no—
1458Dic3—41no—
1459Dic3—41no—
1460Dic3—41no—
1461Dic3—41no—
1462Dic3—41no—
1463Dic3—41no—
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—21no—
1485C23—32no—
1486C23—32no—
1487C23—32no—
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—61no—
1513C23—124no—
1514C23—124no—
1515C23—242no—
1516C23—242no—
1517C23—242no—
1518C23—242no—
1519C23—242no—
1520C23C24×D311yescharacteristic
1521Q8—124no—
1522Q8—242no—
1523D4—82no—
1524D4—82no—
1525D4—82no—
1526D4—124no—
1527D4—124no—
1528D4—124no—
1529D4—124no—
1530D4—124no—
1531D4—124no—
1532D4—124no—
1533D4—242no—
1534D4—242no—
1535D4—242no—
1536D4—242no—
1537D4—242no—
1538D4—242no—
1539D4—242no—
1540D4—242no—
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—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—32no—
1574C2×C4—32no—
1575C2×C4—32no—
1576C2×C4—32no—
1577C2×C4—32no—
1578C2×C4—44no—
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—61no—
1607C2×C4—61no—
1608C2×C4—61no—
1609C2×C4—61no—
1610C2×C4—82no—
1611C2×C4—124no—
1612C2×C4—124no—
1613C2×C4—124no—
1614C2×C4—124no—
1615C2×C4—242no—
1616C2×C4—242no—
1617C2×C4—242no—
1618C2×C4—242no—
1619C2×C4C2×D3×D412yes—
1620C2×C4C2×D3×D412yes—
1621C2×C4C2×D3×D412yes—
1622C2×C4D3×#4112yes—
1623C2×C3—81no—
1624C2×C3—81no—
1625C2×C3—81no—
1626C2×C3#345511yescharacteristic
1627C2×C3D4×#4111yescharacteristic
1628C2×C3#348811yescharacteristic
1629C2×C3#348811yescharacteristic
1630C2×C3#351911yescharacteristic
1631C2×C3#354511yescharacteristic
1632C2×C3#356211yescharacteristic
1633D3—42no—
1634D3—42no—
1635D3—42no—
1636D3—81no—
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—41no—
1658C22—62no—
1659C22—62no—
1660C22—62no—
1661C22—62no—
1662C22—62no—
1663C22—62no—
1664C22—62no—
1665C22—62no—
1666C22—62no—
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—121no—
1685C22—121no—
1686C22—248no—
1687C22C22×D3×D411yescharacteristic
1688C22C2×D3×#4111yescharacteristic
1689C22#596411yescharacteristic
1690C22#596411yescharacteristic
1691C22#596411yescharacteristic
1692C22D3×H(5,𝔽2)11yescharacteristic
1693C22D3×H(5,𝔽2)11yescharacteristic
1694C4—22no—
1695C4—22no—
1696C4—22no—
1697C4—22no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—41no—
1706C4—62no—
1707C4—62no—
1708C4—62no—
1709C4—62no—
1710C4—62no—
1711C4—121no—
1712C4—121no—
1713C4—121no—
1714C4—121no—
1715C4—121no—
1716C4—121no—
1717C4—121no—
1718C3#3773711yescharacteristic, complemented, Sylow
1719C2—81no—
1720C2—81no—
1721C2—81no—
1722C2—122no—
1723C2—122no—
1724C2—122no—
1725C2—241no—
1726C2#8603711yescharacteristic
1727C2#8614611yescharacteristic
1728C2#8648811yescharacteristic
1729C2#8662911yescharacteristic
1730C2#8676911yescharacteristic
1731C2#8680911yescharacteristic
1732C2#8682211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2471C2
hypercenter#2471D3
hypocenterC3#37737
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2471

Complements

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

NH ≅ G/Ntype
1. C2×#5657C2semidirect
2. C2×#5528C2semidirect
3. C3×#2471C2semidirect
4. #82852C2semidirect
5. #82244C2semidirect
6. #78114C2semidirect
7. #78067C2semidirect
8. #77690C2semidirect
9. #77596C2semidirect
10. #77431C2semidirect
11. #77426C2semidirect
12. #76768C2semidirect
13. #76766C2semidirect
14. #76443C2semidirect
15. #76442C2semidirect
16. #76442C2semidirect
17. #76377C2semidirect
18. #75957C2semidirect
19. #75832C2semidirect
20. #75327C2semidirect
21. #75324C2semidirect
22. #74999C2semidirect
23. #74953C2semidirect
24. #74894C2semidirect
25. #74784C2semidirect
26. #74721C2semidirect
27. #74716C2semidirect
28. #74698C2semidirect
29. #74698C2semidirect
30. #73595C2semidirect
31. C4×#884C2semidirect
34. C2×C3×#117C22semidirect
35. C2×#940C22semidirect
44. C2×C4×#67C22semidirect
45. C2×C4×#67C22semidirect
50. C2×#897C22semidirect
51. C2×#896C22semidirect
52. C2×#896C22semidirect
56. C2×#889C22semidirect
67. C2×#883C22semidirect
73. C2×#879C22semidirect
77. C2×C42×D3C22semidirect
78. C2×C4×Dic6C22semidirect
79. C3×#399C22semidirect
81. C3×#396C22semidirect
86. C3×#387C22semidirect
87. C3×#387C22semidirect
89. C3×#386C22semidirect
90. C3×#386C22semidirect
91. C3×C4×C22⋊C4C22semidirect
98. #5222C22semidirect
99. #5210C22semidirect
100. C4×#217C22semidirect
101. #4994C22semidirect
104. #4990C22semidirect
105. #4990C22semidirect
111. #4979C22semidirect
112. #4979C22semidirect
113. Dic3×C4⋊C4C22semidirect
114. #4972C22semidirect
115. #4972C22semidirect
118. #4961C22semidirect
119. #4961C22semidirect
123. #4959C22semidirect
124. #4959C22semidirect
125. #4959C22semidirect
130. #4957C22semidirect
131. #4957C22semidirect
136. #4956C22semidirect
137. #4956C22semidirect
140. #4951C22semidirect
141. #4949C22semidirect
145. #4948C22semidirect
146. #4947C22semidirect
149. #4945C22semidirect
153. #4940C22semidirect
154. #4940C22semidirect
156. C4×(C2×D3)⋊C4C22semidirect
157. C4×Dic3⋊C4C22semidirect
164. #4670C22semidirect
170. #4667C22semidirect
175. #4665C22semidirect
176. #4665C22semidirect
177. #4665C22semidirect
179. #4660C22semidirect
180. #4657C22semidirect
181. #4655C22semidirect
182. #4653C22semidirect
183. #4653C22semidirect
184. #4652C22semidirect
185. #4650C22semidirect
186. #4647C22semidirect
187. #4647C22semidirect
188. #4647C22semidirect
189. #4646C22semidirect
204. #2471D3semidirect
361. #898D4semidirect
462. C2×#117C2×D3semidirect
468. #399C2×D3semidirect
477. #396C2×D3semidirect
542. #387C2×D3semidirect
543. #387C2×D3semidirect
556. #386C2×D3semidirect
557. #386C2×D3semidirect
576. C4×C22⋊C4C2×D3semidirect
1718. C3#37737semidirect

Maximal subgroups

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

subgroupindex
C2×#56572
C2×#55282
C3×#24712
#828522
#822442
#781142
#780672
#776902
#775962
#774312
#774262
#767682
#767662
#764432
#764422
#763772
#759572
#758322
#753272
#753242
#749992
#749532
#748942
#747842
#747212
#747162
#746982
#735952
C4×#8842
#377373