Finite Group Databasebeta

← #11069733

Subgroups — #11069733

Order 768.

2296 conjugacy classes of subgroups.

The subgroup lattice has 1654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5561C211yesmaximal, characteristic, complemented
2C2×#5560C211yesmaximal, characteristic, complemented
3C3×C4×#121C211yesmaximal, characteristic, complemented
4#82707C211yesmaximal, characteristic, complemented
5#82672C211yesmaximal, characteristic, complemented
6#82422C211yesmaximal, characteristic, complemented
7#82404C211yesmaximal, characteristic, complemented
8#82392C211yesmaximal, characteristic, complemented
9#82368C211yesmaximal, characteristic, complemented
10#82077C211yesmaximal, characteristic, complemented
11C4×#929C211yesmaximal, characteristic, complemented
12#76461C211yesmaximal, characteristic, complemented
13#76397C211yesmaximal, characteristic, complemented
14#76264C211yesmaximal, characteristic, complemented
15#76258C211yesmaximal, characteristic, complemented
16#75876C211yesmaximal, characteristic, complemented
17#75596C211yesmaximal, characteristic, complemented
18#75547C211yesmaximal, characteristic, complemented
19#75527C211yesmaximal, characteristic, complemented
20#74923C211yesmaximal, characteristic, complemented
21#74919C211yesmaximal, characteristic, complemented
22#74822C211yesmaximal, characteristic, complemented
23#74800C211yesmaximal, characteristic, complemented
24#73929C211yesmaximal, characteristic, complemented
25#73895C211yesmaximal, characteristic, complemented
26#73784C211yesmaximal, characteristic, complemented
27#73679C211yesmaximal, characteristic, complemented
28#73601C211yesmaximal, characteristic, complemented
29#73574C211yesmaximal, characteristic, complemented
30#73538C211yesmaximal, characteristic, complemented
31#73472C211yesmaximal, characteristic, complemented
32#39389—31nomaximal, Sylow
33C2×C3×#121C2211yescharacteristic
34C2×C3×C4×D4C2211yescharacteristic
35C2×C3×C4×D4C2211yescharacteristic
36C2×C3×C4×D4C2211yescharacteristic, complemented
37C22×C3×C42C2211yescharacteristic, complemented
38C2×#939C2211yescharacteristic
39C2×#938C2211yescharacteristic
40C2×#937C2211yescharacteristic
41C2×#937C2211yescharacteristic
42C2×#936C2211yescharacteristic, complemented
43C2×#930C2211yescharacteristic
44C2×#929C2211yescharacteristic
45C2×#929C2211yescharacteristic
46C2×C4×#67C2211yescharacteristic
47C2×C4×#67C2211yescharacteristic
48C22×(C2×D3)⋊C4C2211yescharacteristic
49C2×#924C2211yescharacteristic, complemented
50C2×#924C2211yescharacteristic, complemented
51#5561—28no—
52#5560—28no—
53C2×#898C2211yescharacteristic
54C2×#897C2211yescharacteristic
55C2×#896C2211yescharacteristic, complemented
56C2×#894C2211yescharacteristic
57C2×#888C2211yescharacteristic, complemented
58C2×#885C2211yescharacteristic
59C2×#885C2211yescharacteristic
60C2×#885C2211yescharacteristic
61C2×#885C2211yescharacteristic
62C2×#884C2211yescharacteristic
63C2×#882C2211yescharacteristic
64C2×D3×C22⋊C4C2211yescharacteristic
65C2×#879C2211yescharacteristic, complemented
66C2×#879C2211yescharacteristic, complemented
67C2×#878C2211yescharacteristic
68C2×#876C2211yescharacteristic
69C2×#875C2211yescharacteristic
70C2×#875C2211yescharacteristic
71C2×#872C2211yescharacteristic
72C2×C4×Dic6C2211yescharacteristic, complemented
73C3×#390C2211yescharacteristic
74C3×#389C2211yescharacteristic, complemented
75C3×#388C2211yescharacteristic
76C3×#388C2211yescharacteristic, complemented
77C3×#386C2211yescharacteristic
78C3×#386C2211yescharacteristic, complemented
79C3×#380C2211yescharacteristic, complemented
80C3×C4×C4⋊C4C2211yescharacteristic, complemented
81C3×C4×C22⋊C4C2211yescharacteristic
82C3×C4×C22⋊C4C2211yescharacteristic, complemented
83#5223C2211yescharacteristic
84#5223C2211yescharacteristic
85#5223C2211yescharacteristic, complemented
86#5222C2211yescharacteristic
87#5222C2211yescharacteristic
88#5222C2211yescharacteristic
89#5220C2211yescharacteristic
90#5213C2211yescharacteristic
91#5213C2211yescharacteristic
92#5213C2211yescharacteristic
93#5213C2211yescharacteristic
94#5213C2211yescharacteristic, complemented
95#5213C2211yescharacteristic, complemented
96#5213C2211yescharacteristic, complemented
97#5211C2211yescharacteristic, complemented
98#5210C2211yescharacteristic
99#5210C2211yescharacteristic
100#5210C2211yescharacteristic, complemented
101C4×#217C2211yescharacteristic, complemented
102#4994C2211yescharacteristic
103#4993C2211yescharacteristic
104#4992C2211yescharacteristic
105#4991C2211yescharacteristic
106#4991C2211yescharacteristic
107#4990C2211yescharacteristic
108#4990C2211yescharacteristic, complemented
109#4989C2211yescharacteristic
110#4986C2211yescharacteristic, complemented
111#4981C2211yescharacteristic, complemented
112#4980C2211yescharacteristic, complemented
113#4979C2211yescharacteristic, complemented
114#4979C2211yescharacteristic, complemented
115#4979C2211yescharacteristic, complemented
116#4976C2211yescharacteristic, complemented
117#4961C2211yescharacteristic
118#4960C2211yescharacteristic
119#4960C2211yescharacteristic
120#4959C2211yescharacteristic
121#4959C2211yescharacteristic
122#4959C2211yescharacteristic
123#4959C2211yescharacteristic
124#4959C2211yescharacteristic, complemented
125#4957C2211yescharacteristic
126#4957C2211yescharacteristic
127#4957C2211yescharacteristic, complemented
128#4956C2211yescharacteristic
129#4956C2211yescharacteristic, complemented
130#4955C2211yescharacteristic
131#4955C2211yescharacteristic
132#4953C2211yescharacteristic
133#4952C2211yescharacteristic, complemented
134#4952C2211yescharacteristic, complemented
135#4952C2211yescharacteristic, complemented
136#4951C2211yescharacteristic
137#4949C2211yescharacteristic, complemented
138#4947C2211yescharacteristic
139#4947C2211yescharacteristic
140#4947C2211yescharacteristic, complemented
141#4946C2211yescharacteristic
142#4945C2211yescharacteristic
143#4945C2211yescharacteristic, complemented
144#4944C2211yescharacteristic, complemented
145#4942C2211yescharacteristic
146Dic3×C22⋊C4C2211yescharacteristic
147#4940C2211yescharacteristic
148#4940C2211yescharacteristic
149#4940C2211yescharacteristic
150#4940C2211yescharacteristic
151#4940C2211yescharacteristic
152#4940C2211yescharacteristic, complemented
153#4940C2211yescharacteristic, complemented
154#4940C2211yescharacteristic, complemented
155#4939C2211yescharacteristic
156C4×(C2×D3)⋊C4C2211yescharacteristic
157C4×(C2×D3)⋊C4C2211yescharacteristic
158#4936C2211yescharacteristic, complemented
159#4933C2211yescharacteristic, complemented
160#4933C2211yescharacteristic, complemented
161#4933C2211yescharacteristic, complemented
162#4933C2211yescharacteristic, complemented
163C4×Dic3⋊C4C2211yescharacteristic, complemented
164C4×Dic3⋊C4C2211yescharacteristic, complemented
165#4929C2211yescharacteristic, complemented
166#4676C2211yescharacteristic, complemented
167#4675C2211yescharacteristic
168#4675C2211yescharacteristic
169#4675C2211yescharacteristic, complemented
170#4673C2211yescharacteristic
171#4673C2211yescharacteristic
172#4670C2211yescharacteristic
173#4669C2211yescharacteristic
174#4669C2211yescharacteristic
175#4669C2211yescharacteristic
176#4668C2211yescharacteristic, complemented
177#4667C2211yescharacteristic
178#4666C2211yescharacteristic, complemented
179#4665C2211yescharacteristic
180#4665C2211yescharacteristic
181#4664C2211yescharacteristic
182#4660C2211yescharacteristic, complemented
183#4657C2211yescharacteristic, complemented
184#4652C2211yescharacteristic, complemented
185#4649C2211yescharacteristic, complemented
186#4646C2211yescharacteristic, complemented
187#4646C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#542—31no—
191C2×#538—31no—
192#2850—31no—
193#2723—31no—
194#2712—31no—
195#2698—31no—
196#2691—31no—
197#2688—31no—
198#2684—31no—
199#2674—31no—
200#2670—31no—
201#2638—31no—
202#2635—31no—
203#2560—31no—
204#2557—31no—
205#2555—31no—
206#2554—31no—
207#2521—31no—
208#2521—31no—
209#2492—31no—
210#2474—31no—
211#2472—31no—
212#2469—31no—
213#2463—31no—
214#2427—31no—
215#2424—31no—
216#2418—31no—
217#2367—31no—
218#2342—31no—
219C4×#123—31no—
220C4×#121D311yescharacteristic, complemented
221C24×D3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C23×Dic3C2311yescharacteristic
238C22×D12C2311yescharacteristic
239C22×D12C2311yescharacteristic
240C22×C4×D3C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×Dic6C2311yescharacteristic
244C22×Dic6C2311yescharacteristic
245C22×Dic6C2311yescharacteristic
246C22×Dic6C2311yescharacteristic
247C3×#121—24no—
248C3×C4×D4—24no—
249C3×C4×D4—24no—
250C3×C4×D4—42no—
251C2×C3×C4⋊C4C2311yescharacteristic
252C2×C3×C4⋊C4C2311yescharacteristic
253C2×C3×C4⋊C4C2311yescharacteristic
254C2×C3×C4⋊C4C2311yescharacteristic
255C2×C3×C4⋊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×C22⋊C4C2311yescharacteristic
264C2×C3×C22⋊C4C2311yescharacteristic
265C2×C3×C22⋊C4C2311yescharacteristic
266C2×C3×C42—42no—
267C2×C3×C42C2311yescharacteristic
268C2×C3×C42C2311yescharacteristic
269C2×C3×C42C2311yescharacteristic
270C2×C3×C42C2311yescharacteristic
271C2×C3×C42C2311yescharacteristic
272C2×C3×C42C2311yescharacteristic
273C2×#217C2311yescharacteristic
274C2×#217C2311yescharacteristic
275C2×#217C2311yescharacteristic
276C2×#217C2311yescharacteristic
277C2×#217C2311yescharacteristic
278C2×#217C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288#939—24no—
289#938—24no—
290#937—24no—
291#937—42no—
292#936—24no—
293#930—24no—
294#929—24no—
295#929D418yescomplemented
296C4×#67—24no—
297C4×#67—42no—
298C2×(C2×D3)⋊C4—24no—
299C2×(C2×D3)⋊C4C2311yescharacteristic
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×C4⋊Dic3C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
330C2×C4⋊Dic3C2311yescharacteristic
331C2×C4⋊Dic3C2311yescharacteristic
332#924—24no—
333#924—24no—
334C2×Dic3⋊C4C2311yescharacteristic
335C2×Dic3⋊C4C2311yescharacteristic
336C2×Dic3⋊C4C2311yescharacteristic
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×C4×Dic3C2311yescharacteristic
352C2×C4×Dic3C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358#898—24no—
359#897—24no—
360#896—42no—
361#894—24no—
362#888—24no—
363#885—24no—
364#885—24no—
365#885—24no—
366#885—24no—
367#884—24no—
368#882—24no—
369D3×C22⋊C4—24no—
370#879—24no—
371#879—24no—
372#878—24no—
373#876—24no—
374#875—24no—
375#875—42no—
376#872—24no—
377C4×Dic6—24no—
378C3×#95C2311yescharacteristic
379C3×#95C2311yescharacteristic
380C3×#95C2311yescharacteristic
381C3×#95C2311yescharacteristic
382C3×#95C2311yescharacteristic
383C3×#95C2311yescharacteristic
384C3⋊#95C2311yescharacteristic
385C3⋊#95C2311yescharacteristic
386C3⋊#95C2311yescharacteristic
387C3⋊#95C2311yescharacteristic
388C3⋊#95C2311yescharacteristic
389C3⋊#95C2311yescharacteristic
390C3⋊#95C2311yescharacteristic
391C3⋊#95C2311yescharacteristic
392C3⋊#95C2311yescharacteristic
393C3⋊#95C2311yescharacteristic
394C3⋊#95C2311yescharacteristic
395C3⋊#95C2311yescharacteristic
396C3⋊#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
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
414#542—68no—
415#538—68no—
416C2×C4⋊Q8—31no—
417C2×#126—31no—
418C2×#126—31no—
419C2×#126—31no—
420C2×#126—31no—
421C2×#124—31no—
422C2×#124—31no—
423C2×#124—31no—
424C2×#124—31no—
425C2×#124—31no—
426C2×#124—31no—
427C2×#124—31no—
428C2×#123—31no—
429C2×#123—31no—
430C2×#123—31no—
431C2×C22⋊Q8—31no—
432C2×C22⋊Q8—31no—
433C2×C22⋊Q8—31no—
434C2×C22⋊Q8—31no—
435C2×C22⋊Q8—31no—
436C2×#121—31no—
437C2×#121—31no—
438C2×#121—31no—
439C2×#121—31no—
440C2×#121C2×D311yescharacteristic
441C2×#120—31no—
442C2×#120—31no—
443C2×#120—31no—
444C2×C4×Q8—31no—
445C2×C4×D4—31no—
446C2×C4×D4—31no—
447C2×C4×D4C2×D311yescharacteristic
448C2×C4×D4C2×D311yescharacteristic
449C2×C4×D4C2×D311yescharacteristic, complemented
450C2×#117—31no—
451C22×C22⋊C4—31no—
452C22×C22⋊C4—31no—
453C22×C42C2×D311yescharacteristic, complemented
454#400—31no—
455#400—31no—
456#399—31no—
457#399—31no—
458#398—31no—
459#398—31no—
460#397—31no—
461#397—31no—
462#397—31no—
463#397—31no—
464#397—31no—
465#397—31no—
466#397—31no—
467#397—31no—
468#396—31no—
469#396—31no—
470#395—31no—
471#395—31no—
472#395—31no—
473#394—31no—
474#394—31no—
475#394—31no—
476#394—31no—
477#394—31no—
478#394—31no—
479#394—31no—
480#394—31no—
481#394—31no—
482#394—31no—
483#394—31no—
484#393—31no—
485#393—31no—
486#393—31no—
487#393—31no—
488#393—31no—
489#392—31no—
490#392—31no—
491#392—31no—
492#392—31no—
493#392—31no—
494#391—31no—
495#391—31no—
496#391—31no—
497#391—31no—
498#391—31no—
499#390—31no—
500#390—31no—
501#390—31no—
502#390—31no—
503#390C2×D311yescharacteristic
504#389—31no—
505#389C2×D311yescharacteristic, complemented
506#388—31no—
507#388—31no—
508#388—31no—
509#388—31no—
510#388—31no—
511#388—31no—
512#388—31no—
513#388—31no—
514#388—31no—
515#388—31no—
516#388—31no—
517#388—31no—
518#388—31no—
519#388—31no—
520#388—31no—
521#388—31no—
522#388—31no—
523#388—31no—
524#388C2×D311yescharacteristic
525#388C2×D311yescharacteristic, complemented
526#387—31no—
527#387—31no—
528#387—31no—
529#387—31no—
530#387—31no—
531#387—31no—
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386C2×D311yescharacteristic
545#386C2×D311yescharacteristic, complemented
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#382—31no—
553#381—31no—
554#381—31no—
555#380—31no—
556#380—31no—
557#380C2×D311yescharacteristic, complemented
558#379—31no—
559#379—31no—
560C4×C4⋊C4—31no—
561C4×C4⋊C4—31no—
562C4×C4⋊C4—31no—
563C4×C4⋊C4C2×D311yescharacteristic, complemented
564C4×C22⋊C4—31no—
565C4×C22⋊C4—31no—
566C4×C22⋊C4—31no—
567C4×C22⋊C4—31no—
568C4×C22⋊C4—31no—
569C4×C22⋊C4C2×D311yescharacteristic
570C4×C22⋊C4C2×D311yescharacteristic, complemented
571C24×C3C2411yescharacteristic
572C24×C3C2411yescharacteristic
573C24×C3C2411yescharacteristic
574C23×D3—22no—
575C23×D3—22no—
576C23×D3—41no—
577C23×D3—41no—
578C23×D3—41no—
579C23×D3—41no—
580C23×D3—41no—
581C23×D3C2411yescharacteristic
582C23×D3C2411yescharacteristic
583C23×D3C2411yescharacteristic
584C2×C3×D4—22no—
585C2×C3×D4—22no—
586C2×C3×D4—22no—
587C2×C3×D4—22no—
588C2×C3×D4—22no—
589C2×C3×D4—22no—
590C2×C3×D4—41no—
591C2×C3×D4—41no—
592C2×C3×D4—41no—
593C22×C3×C4—22no—
594C22×C3×C4—22no—
595C22×C3×C4—22no—
596C22×C3×C4—22no—
597C22×C3×C4—41no—
598C22×C3×C4—41no—
599C22×C3×C4—41no—
600C22×C3×C4—41no—
601C22×C3×C4—41no—
602C22×C3×C4—41no—
603C22×C3×C4—41no—
604C22×C3×C4—41no—
605C22×C3×C4—41no—
606C22×C3×C4—41no—
607C22×C3×C4C2×D414yes—
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
618C22×C3×C4C2411yescharacteristic
619C22×C3×C4C2411yescharacteristic
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—41no—
626C2×#67—41no—
627C2×#67—41no—
628C2×#67—41no—
629C2×#67—41no—
630C2×#67—41no—
631C2×#67—41no—
632C2×#67—41no—
633C2×#67—41no—
634C2×#67—41no—
635C2×#67—41no—
636C2×#67—41no—
637C2×#67—41no—
638C2×#67—41no—
639C2×#67—41no—
640C2×#67C2×D414yes—
641C22×Dic3—22no—
642C22×Dic3—41no—
643C22×Dic3—41no—
644C22×Dic3C2411yescharacteristic
645C22×Dic3C2411yescharacteristic
646C22×Dic3C2411yescharacteristic
647C22×Dic3C2411yescharacteristic
648C22×Dic3C2411yescharacteristic
649C22×Dic3C2411yescharacteristic
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657C2×D12—22no—
658C2×D12—22no—
659C2×D12—41no—
660C2×D12—41no—
661C2×D12—41no—
662C2×D12—41no—
663C2×C4×D3—22no—
664C2×C4×D3—22no—
665C2×C4×D3—22no—
666C2×C4×D3—22no—
667C2×C4×D3—41no—
668C2×C4×D3—41no—
669C2×C4×D3—41no—
670C2×C4×D3—41no—
671C2×C4×D3—41no—
672C2×Dic6—22no—
673C2×Dic6—22no—
674C2×Dic6—22no—
675C2×Dic6—22no—
676C2×Dic6—22no—
677C2×Dic6—41no—
678C2×Dic6—41no—
679C2×Dic6—41no—
680C2×Dic6—41no—
681C2×Dic6—41no—
682C2×Dic6—41no—
683C2×Dic6—41no—
684C3×C4⋊C4—22no—
685C3×C4⋊C4—22no—
686C3×C4⋊C4—22no—
687C3×C4⋊C4—22no—
688C3×C4⋊C4—41no—
689C3×C22⋊C4—22no—
690C3×C22⋊C4—22no—
691C3×C22⋊C4—22no—
692C3×C22⋊C4—22no—
693C3×C22⋊C4—22no—
694C3×C22⋊C4—41no—
695C3×C22⋊C4—41no—
696C3×C22⋊C4—41no—
697C3×C22⋊C4—41no—
698C3×C22⋊C4#4114yes—
699C3×C42—22no—
700C3×C42—22no—
701C3×C42—22no—
702C3×C42—22no—
703C3×C42—41no—
704C3×C42—41no—
705#217—22no—
706#217—22no—
707#217—22no—
708#217—22no—
709#217—22no—
710#217—22no—
711#217—22no—
712#217—22no—
713#217—41no—
714#217—41no—
715#217—41no—
716#217—41no—
717#217—41no—
718#217—41no—
719#217C2×D414yes—
720(C2×D3)⋊C4—22no—
721(C2×D3)⋊C4—22no—
722(C2×D3)⋊C4—22no—
723(C2×D3)⋊C4—22no—
724(C2×D3)⋊C4—22no—
725(C2×D3)⋊C4—22no—
726(C2×D3)⋊C4—22no—
727(C2×D3)⋊C4—22no—
728(C2×D3)⋊C4—22no—
729(C2×D3)⋊C4—22no—
730(C2×D3)⋊C4—22no—
731(C2×D3)⋊C4—22no—
732(C2×D3)⋊C4—22no—
733(C2×D3)⋊C4—22no—
734(C2×D3)⋊C4—22no—
735(C2×D3)⋊C4—22no—
736(C2×D3)⋊C4—22no—
737(C2×D3)⋊C4—41no—
738(C2×D3)⋊C4—41no—
739(C2×D3)⋊C4—41no—
740(C2×D3)⋊C4—41no—
741(C2×D3)⋊C4—41no—
742(C2×D3)⋊C4—41no—
743(C2×D3)⋊C4—41no—
744(C2×D3)⋊C4—41no—
745(C2×D3)⋊C4—41no—
746(C2×D3)⋊C4—41no—
747(C2×D3)⋊C4C2×D414yes—
748(C2×D3)⋊C4C2×D414yes—
749C4⋊Dic3—22no—
750C4⋊Dic3—22no—
751C4⋊Dic3—22no—
752C4⋊Dic3—22no—
753Dic3⋊C4—22no—
754Dic3⋊C4—22no—
755Dic3⋊C4—22no—
756Dic3⋊C4—22no—
757Dic3⋊C4—22no—
758Dic3⋊C4—22no—
759Dic3⋊C4—22no—
760Dic3⋊C4—41no—
761Dic3⋊C4—41no—
762Dic3⋊C4—41no—
763Dic3⋊C4—41no—
764Dic3⋊C4—41no—
765Dic3⋊C4—41no—
766Dic3⋊C4—41no—
767Dic3⋊C4—41no—
768Dic3⋊C4C2×D414yes—
769Dic3⋊C4C2×D414yes—
770C4×Dic3—22no—
771C4×Dic3—22no—
772C4×Dic3—22no—
773C4×Dic3—22no—
774C4×Dic3—22no—
775C4×Dic3—41no—
776C4×Dic3—41no—
777C25—31no—
778C22×Q8—31no—
779C22×Q8—31no—
780C22×Q8—31no—
781C22×Q8—31no—
782C22×D4—31no—
783C22×D4—31no—
784C22×D4—31no—
785C22×D4—31no—
786C22×D4—31no—
787C22×D4—31no—
788C22×D4—31no—
789C22×D4—31no—
790C22×D4—31no—
791C22×D4C22×D311yescharacteristic
792C22×D4C22×D311yescharacteristic
793C22×D4C22×D311yescharacteristic
794C23×C4—31no—
795C23×C4—31no—
796C23×C4—31no—
797C23×C4—31no—
798C23×C4C22×D311yescharacteristic
799C23×C4C22×D311yescharacteristic
800C23×C4C22×D311yescharacteristic
801C23×C4C22×D311yescharacteristic
802C23×C4C22×D311yescharacteristic
803C4⋊Q8—64no—
804#126—64no—
805#126—64no—
806#126—64no—
807#126—64no—
808#124—64no—
809#124—64no—
810#124—64no—
811#124—64no—
812#124—64no—
813#124—64no—
814#124—122no—
815#123—38no—
816#123—64no—
817#123—64no—
818C22⋊Q8—64no—
819C22⋊Q8—64no—
820C22⋊Q8—64no—
821C22⋊Q8—64no—
822C22⋊Q8—122no—
823#121—24no—
824#121—64no—
825#121—64no—
826#121—64no—
827#121—64no—
828#120—64no—
829#120—64no—
830#120—122no—
831C4×Q8—64no—
832C4×D4—24no—
833C4×D4—24no—
834C4×D4—42no—
835C4×D4—64no—
836C4×D4—122no—
837#117—64no—
838C2×C4⋊C4—31no—
839C2×C4⋊C4—31no—
840C2×C4⋊C4—31no—
841C2×C4⋊C4—31no—
842C2×C4⋊C4—31no—
843C2×C4⋊C4—31no—
844C2×C4⋊C4—31no—
845C2×C4⋊C4—31no—
846C2×C4⋊C4—31no—
847C2×C4⋊C4—31no—
848C2×C4⋊C4—31no—
849C2×C4⋊C4—31no—
850C2×C4⋊C4—31no—
851C2×C4⋊C4—31no—
852C2×C4⋊C4—31no—
853C2×C4⋊C4—31no—
854C2×C4⋊C4—31no—
855C2×C4⋊C4—31no—
856C2×C4⋊C4—31no—
857C2×C4⋊C4—31no—
858C2×C4⋊C4—31no—
859C2×C4⋊C4C22×D311yescharacteristic
860C2×C4⋊C4C22×D311yescharacteristic
861C2×C4⋊C4C22×D311yescharacteristic
862C2×C4⋊C4C22×D311yescharacteristic
863C2×C4⋊C4C22×D311yescharacteristic
864C2×C22⋊C4—31no—
865C2×C22⋊C4—31no—
866C2×C22⋊C4—31no—
867C2×C22⋊C4—31no—
868C2×C22⋊C4—31no—
869C2×C22⋊C4—31no—
870C2×C22⋊C4—31no—
871C2×C22⋊C4—31no—
872C2×C22⋊C4—31no—
873C2×C22⋊C4—31no—
874C2×C22⋊C4—31no—
875C2×C22⋊C4—31no—
876C2×C22⋊C4—31no—
877C2×C22⋊C4—31no—
878C2×C22⋊C4—31no—
879C2×C22⋊C4—31no—
880C2×C22⋊C4—31no—
881C2×C22⋊C4—31no—
882C2×C22⋊C4—31no—
883C2×C22⋊C4—31no—
884C2×C22⋊C4—31no—
885C2×C22⋊C4—31no—
886C2×C22⋊C4—31no—
887C2×C22⋊C4—31no—
888C2×C22⋊C4—31no—
889C2×C22⋊C4—31no—
890C2×C22⋊C4—31no—
891C2×C22⋊C4—31no—
892C2×C22⋊C4—31no—
893C2×C22⋊C4—31no—
894C2×C22⋊C4—31no—
895C2×C22⋊C4—31no—
896C2×C22⋊C4—31no—
897C2×C22⋊C4—31no—
898C2×C22⋊C4—31no—
899C2×C22⋊C4—31no—
900C2×C22⋊C4—31no—
901C2×C22⋊C4—31no—
902C2×C22⋊C4—31no—
903C2×C22⋊C4—31no—
904C2×C22⋊C4—31no—
905C2×C22⋊C4—31no—
906C2×C22⋊C4—31no—
907C2×C22⋊C4—31no—
908C2×C22⋊C4—64no—
909C2×C22⋊C4—64no—
910C2×C22⋊C4C22×D311yescharacteristic
911C2×C22⋊C4C22×D311yescharacteristic
912C2×C22⋊C4C22×D311yescharacteristic
913C2×C22⋊C4C22×D311yescharacteristic
914C2×C22⋊C4C22×D311yescharacteristic
915C2×C22⋊C4C22×D311yescharacteristic
916C2×C22⋊C4C22×D311yescharacteristic
917C2×C22⋊C4C22×D311yescharacteristic
918C2×C22⋊C4C22×D311yescharacteristic
919C2×C22⋊C4C22×D311yescharacteristic
920C2×C42—31no—
921C2×C42—31no—
922C2×C42—31no—
923C2×C42—31no—
924C2×C42—31no—
925C2×C42—31no—
926C2×C42—31no—
927C2×C42—42no—
928C2×C42C22×D311yescharacteristic
929C2×C42C22×D311yescharacteristic
930C2×C42C22×D311yescharacteristic
931C2×C42C22×D311yescharacteristic
932C2×C42C22×D311yescharacteristic
933C2×C42C22×D311yescharacteristic
934#95—31no—
935#95—31no—
936#95—31no—
937#95—31no—
938#95—31no—
939#95—31no—
940#95—31no—
941#95—31no—
942#95—31no—
943#95—31no—
944#95—31no—
945#95—31no—
946#95—31no—
947#95—31no—
948#95—31no—
949#95—31no—
950#95—31no—
951#95—31no—
952#95—31no—
953#95—31no—
954#95—31no—
955#95—31no—
956#95—31no—
957#95—31no—
958#95—31no—
959#95—31no—
960#95—31no—
961#95—31no—
962#95—31no—
963#95—31no—
964#95C22×D311yescharacteristic
965#95C22×D311yescharacteristic
966#95C22×D311yescharacteristic
967#95C22×D311yescharacteristic
968#95C22×D311yescharacteristic
969#95C22×D311yescharacteristic
970C23×C3—21no—
971C23×C3—21no—
972C23×C3—21no—
973C23×C3—21no—
974C23×C3—21no—
975C23×C3—21no—
976C23×C3—21no—
977C23×C3—21no—
978C23×C3—21no—
979C23×C3—21no—
980C23×C3—21no—
981C23×C3—21no—
982C23×C3—21no—
983C23×C3—21no—
984C23×C3—21no—
985C23×C3—21no—
986C23×C3—21no—
987C23×C3—21no—
988C23×C3—21no—
989C23×C3C22×D412yes—
990C23×C3C2×#4112yes—
991C23×C3C2511yescharacteristic
992C22×D3—21no—
993C22×D3—21no—
994C22×D3—21no—
995C22×D3—21no—
996C22×D3—21no—
997C22×D3—21no—
998C22×D3—21no—
999C22×D3—21no—
1000C22×D3—21no—
1001C22×D3—21no—
1002C22×D3—21no—
1003C22×D3—21no—
1004C22×D3—21no—
1005C22×D3—21no—
1006C22×D3—21no—
1007C22×D3—21no—
1008C22×D3—21no—
1009C22×D3—21no—
1010C22×D3—21no—
1011C22×D3—21no—
1012C22×D3—44no—
1013C22×D3—44no—
1014C22×D3—82no—
1015C22×D3—82no—
1016C22×D3—82no—
1017C22×D3—82no—
1018C22×D3—82no—
1019C22×D3C22×D412yes—
1020C3×D4—44no—
1021C3×D4—44no—
1022C3×D4—44no—
1023C2×C3×C4—21no—
1024C2×C3×C4—21no—
1025C2×C3×C4—21no—
1026C2×C3×C4—21no—
1027C2×C3×C4—21no—
1028C2×C3×C4—21no—
1029C2×C3×C4—21no—
1030C2×C3×C4—21no—
1031C2×C3×C4—21no—
1032C2×C3×C4—21no—
1033C2×C3×C4—21no—
1034C2×C3×C4—21no—
1035C2×C3×C4—21no—
1036C2×C3×C4—21no—
1037C2×C3×C4—21no—
1038C2×C3×C4—21no—
1039C2×C3×C4—21no—
1040C2×C3×C4—21no—
1041C2×C3×C4—21no—
1042C2×C3×C4—21no—
1043C2×C3×C4—21no—
1044C2×C3×C4—21no—
1045C2×C3×C4—21no—
1046C2×C3×C4—21no—
1047C2×C3×C4—21no—
1048C2×C3×C4—21no—
1049C2×C3×C4—21no—
1050C2×C3×C4—21no—
1051C2×C3×C4—21no—
1052C2×C3×C4—21no—
1053C2×C3×C4—21no—
1054C2×C3×C4—44no—
1055C2×C3×C4—44no—
1056C2×C3×C4—44no—
1057C2×C3×C4—82no—
1058C2×C3×C4—82no—
1059C2×C3×C4C22×D412yes—
1060C2×C3×C4C22×D412yes—
1061C2×C3×C4C2×#4112yes—
1062C2×C3×C4C2×#4112yes—
1063C2×C3×C4H(5,𝔽2)12yes—
1064#67—44no—
1065#67—44no—
1066#67—82no—
1067#67—82no—
1068#67—82no—
1069#67—82no—
1070#67—82no—
1071C2×Dic3—21no—
1072C2×Dic3—21no—
1073C2×Dic3—21no—
1074C2×Dic3—21no—
1075C2×Dic3—21no—
1076C2×Dic3—21no—
1077C2×Dic3—21no—
1078C2×Dic3—21no—
1079C2×Dic3—21no—
1080C2×Dic3—21no—
1081C2×Dic3—21no—
1082C2×Dic3—21no—
1083C2×Dic3—21no—
1084C2×Dic3—21no—
1085C2×Dic3—21no—
1086C2×Dic3—21no—
1087C2×Dic3—21no—
1088C2×Dic3—21no—
1089C2×Dic3—21no—
1090C2×Dic3—21no—
1091C2×Dic3—21no—
1092C2×Dic3—21no—
1093C2×Dic3—21no—
1094C2×Dic3—21no—
1095C2×Dic3—21no—
1096C2×Dic3—21no—
1097C2×Dic3—21no—
1098C2×Dic3—21no—
1099C2×Dic3—21no—
1100C2×Dic3—21no—
1101C2×Dic3—21no—
1102C2×Dic3—21no—
1103C2×Dic3—21no—
1104C2×Dic3—21no—
1105C2×Dic3—21no—
1106C2×Dic3—21no—
1107C2×Dic3—82no—
1108C2×Dic3C22×D412yes—
1109C2×Dic3C22×D412yes—
1110C2×Dic3C22×D412yes—
1111D12—82no—
1112D12—82no—
1113C4×D3—44no—
1114C4×D3—82no—
1115C4×D3—82no—
1116Dic6—44no—
1117Dic6—82no—
1118Dic6—82no—
1119Dic6—82no—
1120C24—31no—
1121C24—31no—
1122C24—31no—
1123C24—62no—
1124C24—62no—
1125C24—121no—
1126C24—121no—
1127C24—121no—
1128C24—121no—
1129C24—121no—
1130C24C23×D311yescharacteristic
1131C24C23×D311yescharacteristic
1132C24C23×D311yescharacteristic
1133C2×Q8—62no—
1134C2×Q8—62no—
1135C2×Q8—62no—
1136C2×Q8—62no—
1137C2×Q8—62no—
1138C2×Q8—121no—
1139C2×Q8—121no—
1140C2×Q8—121no—
1141C2×Q8—121no—
1142C2×Q8—121no—
1143C2×Q8—121no—
1144C2×Q8—121no—
1145C2×D4—22no—
1146C2×D4—22no—
1147C2×D4—22no—
1148C2×D4—22no—
1149C2×D4—22no—
1150C2×D4—22no—
1151C2×D4—34no—
1152C2×D4—41no—
1153C2×D4—41no—
1154C2×D4—41no—
1155C2×D4—62no—
1156C2×D4—62no—
1157C2×D4—62no—
1158C2×D4—62no—
1159C2×D4—62no—
1160C2×D4—62no—
1161C2×D4—62no—
1162C2×D4—121no—
1163C2×D4—121no—
1164C2×D4—121no—
1165C2×D4—121no—
1166C2×D4—121no—
1167C2×D4—121no—
1168C2×D4—121no—
1169C2×D4—121no—
1170C2×D4—121no—
1171C2×D4—121no—
1172C2×D4—121no—
1173C2×D4—121no—
1174C2×D4—121no—
1175C2×D4—121no—
1176C2×D4—121no—
1177C2×D4—121no—
1178C2×D4—121no—
1179C2×D4—121no—
1180C2×D4—121no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—31no—
1186C22×C4—31no—
1187C22×C4—31no—
1188C22×C4—31no—
1189C22×C4—31no—
1190C22×C4—31no—
1191C22×C4—31no—
1192C22×C4—31no—
1193C22×C4—31no—
1194C22×C4—31no—
1195C22×C4—31no—
1196C22×C4—31no—
1197C22×C4—31no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—41no—
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×C4D3×D414yes—
1221C22×C4C23×D311yescharacteristic
1222C22×C4C23×D311yescharacteristic
1223C22×C4C23×D311yescharacteristic
1224C22×C4C23×D311yescharacteristic
1225C22×C4C23×D311yescharacteristic
1226C22×C4C23×D311yescharacteristic
1227C22×C4C23×D311yescharacteristic
1228C22×C4C23×D311yescharacteristic
1229C22×C4C23×D311yescharacteristic
1230C22×C4C23×D311yescharacteristic
1231C22×C4C23×D311yescharacteristic
1232C22×C4C23×D311yescharacteristic
1233C4⋊C4—22no—
1234C4⋊C4—22no—
1235C4⋊C4—22no—
1236C4⋊C4—22no—
1237C4⋊C4—34no—
1238C4⋊C4—34no—
1239C4⋊C4—41no—
1240C4⋊C4—62no—
1241C4⋊C4—62no—
1242C4⋊C4—62no—
1243C4⋊C4—62no—
1244C4⋊C4—62no—
1245C4⋊C4—62no—
1246C4⋊C4—62no—
1247C4⋊C4—62no—
1248C4⋊C4—62no—
1249C4⋊C4—62no—
1250C4⋊C4—62no—
1251C4⋊C4—121no—
1252C4⋊C4—121no—
1253C4⋊C4—121no—
1254C4⋊C4—121no—
1255C4⋊C4—121no—
1256C4⋊C4—121no—
1257C4⋊C4—121no—
1258C4⋊C4—121no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—34no—
1265C22⋊C4—34no—
1266C22⋊C4—34no—
1267C22⋊C4—41no—
1268C22⋊C4—41no—
1269C22⋊C4—41no—
1270C22⋊C4—41no—
1271C22⋊C4—62no—
1272C22⋊C4—62no—
1273C22⋊C4—62no—
1274C22⋊C4—62no—
1275C22⋊C4—62no—
1276C22⋊C4—62no—
1277C22⋊C4—62no—
1278C22⋊C4—62no—
1279C22⋊C4—62no—
1280C22⋊C4—62no—
1281C22⋊C4—62no—
1282C22⋊C4—62no—
1283C22⋊C4—62no—
1284C22⋊C4—62no—
1285C22⋊C4—62no—
1286C22⋊C4—62no—
1287C22⋊C4—62no—
1288C22⋊C4—62no—
1289C22⋊C4—62no—
1290C22⋊C4—62no—
1291C22⋊C4—62no—
1292C22⋊C4—62no—
1293C22⋊C4—62no—
1294C22⋊C4—62no—
1295C22⋊C4—62no—
1296C22⋊C4—121no—
1297C22⋊C4—121no—
1298C22⋊C4—121no—
1299C22⋊C4—121no—
1300C22⋊C4—121no—
1301C22⋊C4—121no—
1302C22⋊C4—121no—
1303C22⋊C4—121no—
1304C22⋊C4—121no—
1305C22⋊C4—121no—
1306C22⋊C4—121no—
1307C22⋊C4—121no—
1308C22⋊C4—121no—
1309C22⋊C4—121no—
1310C22⋊C4—121no—
1311C22⋊C4—121no—
1312C22⋊C4#23514yes—
1313C42—22no—
1314C42—22no—
1315C42—22no—
1316C42—22no—
1317C42—41no—
1318C42—41no—
1319C42—62no—
1320C42—62no—
1321C42—62no—
1322C42—62no—
1323C42—62no—
1324C42—121no—
1325C42—121no—
1326C22×C3—22no—
1327C22×C3—22no—
1328C22×C3—22no—
1329C22×C3—22no—
1330C22×C3—22no—
1331C22×C3—22no—
1332C22×C3—41no—
1333C22×C3—41no—
1334C22×C3—41no—
1335C22×C3—41no—
1336C22×C3—41no—
1337C22×C3—41no—
1338C22×C3—41no—
1339C22×C3—41no—
1340C22×C3—41no—
1341C22×C3—41no—
1342C22×C3—41no—
1343C22×C3—41no—
1344C22×C3—41no—
1345C22×C3—41no—
1346C22×C3—41no—
1347C22×C3C23×D411yescharacteristic
1348C22×C3C22×#4111yescharacteristic
1349C22×C3C2×H(5,𝔽2)11yescharacteristic
1350C22×C3#58511yescharacteristic
1351C22×C3#58511yescharacteristic
1352C22×C3#58511yescharacteristic
1353C22×C3#58511yescharacteristic
1354C2×D3—22no—
1355C2×D3—22no—
1356C2×D3—22no—
1357C2×D3—41no—
1358C2×D3—41no—
1359C2×D3—41no—
1360C2×D3—41no—
1361C2×D3—41no—
1362C2×D3—41no—
1363C2×D3—41no—
1364C2×D3—41no—
1365C2×D3—41no—
1366C2×D3—41no—
1367C2×D3—41no—
1368C2×D3—41no—
1369C2×D3—41no—
1370C2×D3—41no—
1371C2×D3—41no—
1372C2×D3—41no—
1373C2×D3—41no—
1374C2×D3—41no—
1375C2×D3—88no—
1376C3×C4—22no—
1377C3×C4—22no—
1378C3×C4—22no—
1379C3×C4—22no—
1380C3×C4—22no—
1381C3×C4—41no—
1382C3×C4—41no—
1383C3×C4—41no—
1384C3×C4—41no—
1385C3×C4—41no—
1386C3×C4—41no—
1387C3×C4—41no—
1388Dic3—22no—
1389Dic3—22no—
1390Dic3—22no—
1391Dic3—41no—
1392Dic3—41no—
1393Dic3—41no—
1394Dic3—41no—
1395Dic3—41no—
1396Dic3—41no—
1397Dic3—41no—
1398Dic3—41no—
1399Dic3—41no—
1400Dic3—41no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—32no—
1421C23—61no—
1422C23—61no—
1423C23—61no—
1424C23—61no—
1425C23—61no—
1426C23—61no—
1427C23—61no—
1428C23—61no—
1429C23—61no—
1430C23—61no—
1431C23—61no—
1432C23—61no—
1433C23—61no—
1434C23—61no—
1435C23—61no—
1436C23—61no—
1437C23—61no—
1438C23—61no—
1439C23—61no—
1440C23—61no—
1441C23—124no—
1442C23—124no—
1443C23—242no—
1444C23—242no—
1445C23—242no—
1446C23—242no—
1447C23—242no—
1448C23C2×#23512yes—
1449C23C2×D3×D412yes—
1450C23C24×D311yescharacteristic
1451Q8—124no—
1452Q8—242no—
1453Q8—242no—
1454Q8—242no—
1455D4—44no—
1456D4—44no—
1457D4—44no—
1458D4—124no—
1459D4—124no—
1460D4—242no—
1461D4—242no—
1462D4—242no—
1463D4—242no—
1464D4—242no—
1465D4—242no—
1466D4—242no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—32no—
1499C2×C4—32no—
1500C2×C4—32no—
1501C2×C4—44no—
1502C2×C4—44no—
1503C2×C4—44no—
1504C2×C4—61no—
1505C2×C4—61no—
1506C2×C4—61no—
1507C2×C4—61no—
1508C2×C4—61no—
1509C2×C4—61no—
1510C2×C4—61no—
1511C2×C4—61no—
1512C2×C4—61no—
1513C2×C4—61no—
1514C2×C4—61no—
1515C2×C4—61no—
1516C2×C4—61no—
1517C2×C4—61no—
1518C2×C4—61no—
1519C2×C4—61no—
1520C2×C4—61no—
1521C2×C4—61no—
1522C2×C4—61no—
1523C2×C4—61no—
1524C2×C4—61no—
1525C2×C4—61no—
1526C2×C4—61no—
1527C2×C4—61no—
1528C2×C4—61no—
1529C2×C4—61no—
1530C2×C4—61no—
1531C2×C4—61no—
1532C2×C4—61no—
1533C2×C4—61no—
1534C2×C4—61no—
1535C2×C4—61no—
1536C2×C4—61no—
1537C2×C4—61no—
1538C2×C4—61no—
1539C2×C4—61no—
1540C2×C4—82no—
1541C2×C4—82no—
1542C2×C4—124no—
1543C2×C4—242no—
1544C2×C4—242no—
1545C2×C4—242no—
1546C2×C4C2×#23512yes—
1547C2×C4C2×#23512yes—
1548C2×C4C2×D3×D412yes—
1549C2×C4C2×D3×D412yes—
1550C2×C4#100412yes—
1551C2×C3—42no—
1552C2×C3—42no—
1553C2×C3—81no—
1554C2×C3#345511yescharacteristic
1555C2×C3D4×#4111yescharacteristic
1556C2×C3#349611yescharacteristic
1557C2×C3#350011yescharacteristic
1558C2×C3#351311yescharacteristic
1559C2×C3#354011yescharacteristic
1560C2×C3#356811yescharacteristic
1561D3—42no—
1562D3—81no—
1563D3—81no—
1564C22—22no—
1565C22—22no—
1566C22—22no—
1567C22—22no—
1568C22—22no—
1569C22—22no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—62no—
1586C22—62no—
1587C22—62no—
1588C22—121no—
1589C22—121no—
1590C22—121no—
1591C22—121no—
1592C22—121no—
1593C22—121no—
1594C22—121no—
1595C22—121no—
1596C22—121no—
1597C22—121no—
1598C22—121no—
1599C22—121no—
1600C22—121no—
1601C22—121no—
1602C22—121no—
1603C22—121no—
1604C22—121no—
1605C22—121no—
1606C22—248no—
1607C22C22×#23511yescharacteristic
1608C22C22×D3×D411yescharacteristic
1609C22C2×#100411yescharacteristic
1610C22#596411yescharacteristic
1611C22#596411yescharacteristic
1612C22#596411yescharacteristic
1613C22#596411yescharacteristic
1614C4—22no—
1615C4—22no—
1616C4—22no—
1617C4—22no—
1618C4—22no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—41no—
1624C4—41no—
1625C4—41no—
1626C4—62no—
1627C4—62no—
1628C4—62no—
1629C4—121no—
1630C4—121no—
1631C4—121no—
1632C4—121no—
1633C4—121no—
1634C4—121no—
1635C4—121no—
1636C4—121no—
1637C4—121no—
1638C4—121no—
1639C3#3938911yescharacteristic, complemented, Sylow
1640C2—42no—
1641C2—42no—
1642C2—81no—
1643C2—122no—
1644C2—241no—
1645C2—241no—
1646C2D4×#23511yescharacteristic
1647C2#8578911yescharacteristic
1648C2#8583711yescharacteristic
1649C2#8595011yescharacteristic
1650C2#8603211yescharacteristic
1651C2#8614411yescharacteristic
1652C2#8624411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×C4×#121C2
hypercenterC4×#121D3
hypocenterC3#39389
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C4×#121

Complements

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

NH ≅ G/Ntype
1. C2×#5561C2semidirect
2. C2×#5560C2semidirect
3. C3×C4×#121C2semidirect
4. #82707C2semidirect
5. #82672C2semidirect
6. #82422C2semidirect
7. #82404C2semidirect
8. #82392C2semidirect
9. #82368C2semidirect
10. #82077C2semidirect
11. C4×#929C2semidirect
12. #76461C2semidirect
13. #76397C2semidirect
14. #76264C2semidirect
15. #76258C2semidirect
16. #75876C2semidirect
17. #75596C2semidirect
18. #75547C2semidirect
19. #75527C2semidirect
20. #74923C2semidirect
21. #74919C2semidirect
22. #74822C2semidirect
23. #74800C2semidirect
24. #73929C2semidirect
25. #73895C2semidirect
26. #73784C2semidirect
27. #73679C2semidirect
28. #73601C2semidirect
29. #73574C2semidirect
30. #73538C2semidirect
31. #73472C2semidirect
36. C2×C3×C4×D4C22semidirect
37. C22×C3×C42C22semidirect
42. C2×#936C22semidirect
49. C2×#924C22semidirect
50. C2×#924C22semidirect
55. C2×#896C22semidirect
57. C2×#888C22semidirect
65. C2×#879C22semidirect
66. C2×#879C22semidirect
72. C2×C4×Dic6C22semidirect
74. C3×#389C22semidirect
76. C3×#388C22semidirect
78. C3×#386C22semidirect
79. C3×#380C22semidirect
80. C3×C4×C4⋊C4C22semidirect
82. C3×C4×C22⋊C4C22semidirect
85. #5223C22semidirect
94. #5213C22semidirect
95. #5213C22semidirect
96. #5213C22semidirect
97. #5211C22semidirect
100. #5210C22semidirect
101. C4×#217C22semidirect
108. #4990C22semidirect
110. #4986C22semidirect
111. #4981C22semidirect
112. #4980C22semidirect
113. #4979C22semidirect
114. #4979C22semidirect
115. #4979C22semidirect
116. #4976C22semidirect
124. #4959C22semidirect
127. #4957C22semidirect
129. #4956C22semidirect
133. #4952C22semidirect
134. #4952C22semidirect
135. #4952C22semidirect
137. #4949C22semidirect
140. #4947C22semidirect
143. #4945C22semidirect
144. #4944C22semidirect
152. #4940C22semidirect
153. #4940C22semidirect
154. #4940C22semidirect
158. #4936C22semidirect
159. #4933C22semidirect
160. #4933C22semidirect
161. #4933C22semidirect
162. #4933C22semidirect
163. C4×Dic3⋊C4C22semidirect
164. C4×Dic3⋊C4C22semidirect
165. #4929C22semidirect
166. #4676C22semidirect
169. #4675C22semidirect
176. #4668C22semidirect
178. #4666C22semidirect
182. #4660C22semidirect
183. #4657C22semidirect
184. #4652C22semidirect
185. #4649C22semidirect
186. #4646C22semidirect
187. #4646C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
220. C4×#121D3semidirect
295. #929D4semidirect
449. C2×C4×D4C2×D3semidirect
453. C22×C42C2×D3semidirect
505. #389C2×D3semidirect
525. #388C2×D3semidirect
545. #386C2×D3semidirect
557. #380C2×D3semidirect
563. C4×C4⋊C4C2×D3semidirect
570. C4×C22⋊C4C2×D3semidirect
1639. C3#39389semidirect

Maximal subgroups

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

subgroupindex
C2×#55612
C2×#55602
C3×C4×#1212
#827072
#826722
#824222
#824042
#823922
#823682
#820772
C4×#9292
#764612
#763972
#762642
#762582
#758762
#755962
#755472
#755272
#749232
#749192
#748222
#748002
#739292
#738952
#737842
#736792
#736012
#735742
#735382
#734722
#393893