Finite Group Databasebeta

← #11080045

Subgroups — #11080045

Order 768.

2638 conjugacy classes of subgroups.

The subgroup lattice has 1700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5656C211yesmaximal, characteristic, complemented
2C2×#5598C211yesmaximal, characteristic, complemented
3C3×#2708C211yesmaximal, characteristic, complemented
4#82886C211yesmaximal, characteristic, complemented
5#82713C211yesmaximal, characteristic, complemented
6#78356C211yesmaximal, characteristic, complemented
7#78134C211yesmaximal, characteristic, complemented
8#77826C211yesmaximal, characteristic, complemented
9#77743C211yesmaximal, characteristic, complemented
10#77691C211yesmaximal, characteristic, complemented
11#77546C211yesmaximal, characteristic, complemented
12#77491C211yesmaximal, characteristic, complemented
13#77466C211yesmaximal, characteristic, complemented
14#77127C211yesmaximal, characteristic, complemented
15#76963C211yesmaximal, characteristic, complemented
16#76944C211yesmaximal, characteristic, complemented
17#76933C211yesmaximal, characteristic, complemented
18#74926C211yesmaximal, characteristic, complemented
19#74918C211yesmaximal, characteristic, complemented
20#74751C211yesmaximal, characteristic, complemented
21#74672C211yesmaximal, characteristic, complemented
22#74666C211yesmaximal, characteristic, complemented
23#74659C211yesmaximal, characteristic, complemented
24#74655C211yesmaximal, characteristic, complemented
25#74640C211yesmaximal, characteristic, complemented
26#74617C211yesmaximal, characteristic, complemented
27#74594C211yesmaximal, characteristic, complemented
28#74405C211yesmaximal, characteristic, complemented
29#74405C211yesmaximal, characteristic, complemented
30#73943C211yesmaximal, characteristic, complemented
31#73895C211yesmaximal, characteristic, complemented
32#39860—31nomaximal, Sylow
33C22×#237C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C23×Dic6C2211yescharacteristic, complemented
36C2×C3×#123C2211yescharacteristic
37C2×C3×#121C2211yescharacteristic
38C2×#939C2211yescharacteristic
39C2×#939C2211yescharacteristic
40C2×#939C2211yescharacteristic, complemented
41C2×#937C2211yescharacteristic
42C2×#937C2211yescharacteristic
43C2×#936C2211yescharacteristic
44C2×D4×Dic3C2211yescharacteristic
45C2×D4×Dic3C2211yescharacteristic, complemented
46C2×#929C2211yescharacteristic
47C2×C4×#67C2211yescharacteristic, complemented
48C2×C4×#67C2211yescharacteristic, complemented
49#5656—28no—
50#5598—28no—
51C2×#897C2211yescharacteristic, complemented
52C2×#896C2211yescharacteristic
53C2×#896C2211yescharacteristic
54C2×#896C2211yescharacteristic
55C2×#896C2211yescharacteristic
56C2×#893C2211yescharacteristic
57C2×#893C2211yescharacteristic
58C2×#887C2211yescharacteristic, complemented
59C2×#885C2211yescharacteristic
60C2×#885C2211yescharacteristic, complemented
61C2×#884C2211yescharacteristic
62C2×#884C2211yescharacteristic
63C2×#884C2211yescharacteristic
64C2×#882C2211yescharacteristic
65C2×#67⋊C4C2211yescharacteristic
66C2×#67⋊C4C2211yescharacteristic
67C2×#67⋊C4C2211yescharacteristic
68C2×#67⋊C4C2211yescharacteristic
69C2×#67⋊C4C2211yescharacteristic, complemented
70C2×#878C2211yescharacteristic
71C2×#878C2211yescharacteristic, complemented
72C2×#877C2211yescharacteristic
73C3×#400C2211yescharacteristic, complemented
74C3×#398C2211yescharacteristic, complemented
75C3×#397C2211yescharacteristic
76C3×#397C2211yescharacteristic, complemented
77C3×#394C2211yescharacteristic
78C3×#394C2211yescharacteristic, complemented
79C3×#386C2211yescharacteristic
80C3×#386C2211yescharacteristic
81C3×#386C2211yescharacteristic, complemented
82C3×#385C2211yescharacteristic
83C3×#385C2211yescharacteristic, complemented
84C3×#385C2211yescharacteristic, complemented
85C3×#380C2211yescharacteristic, complemented
86#5223C2211yescharacteristic
87#5222C2211yescharacteristic
88#5220C2211yescharacteristic
89#5213C2211yescharacteristic
90#5213C2211yescharacteristic
91#5213C2211yescharacteristic
92#5213C2211yescharacteristic
93#5210C2211yescharacteristic
94#5210C2211yescharacteristic
95C2×C3⋊#95C2211yescharacteristic, complemented
96#4993C2211yescharacteristic
97#4993C2211yescharacteristic
98#4992C2211yescharacteristic
99#4992C2211yescharacteristic, complemented
100#4991C2211yescharacteristic
101#4991C2211yescharacteristic
102#4990C2211yescharacteristic
103#4989C2211yescharacteristic
104#4989C2211yescharacteristic
105#4987C2211yescharacteristic, complemented
106#4980C2211yescharacteristic, complemented
107#4980C2211yescharacteristic, complemented
108#4979C2211yescharacteristic, complemented
109#4979C2211yescharacteristic, complemented
110#4979C2211yescharacteristic, complemented
111#4979C2211yescharacteristic, complemented
112#4978C2211yescharacteristic, complemented
113#4978C2211yescharacteristic, complemented
114#4976C2211yescharacteristic, complemented
115#4975C2211yescharacteristic, complemented
116#4961C2211yescharacteristic
117#4961C2211yescharacteristic
118#4961C2211yescharacteristic, complemented
119#4960C2211yescharacteristic
120#4959C2211yescharacteristic
121#4958C2211yescharacteristic
122#4958C2211yescharacteristic
123#4958C2211yescharacteristic
124#4956C2211yescharacteristic
125#4956C2211yescharacteristic
126#4956C2211yescharacteristic
127#4956C2211yescharacteristic
128#4956C2211yescharacteristic, complemented
129#4955C2211yescharacteristic
130#4955C2211yescharacteristic
131#4955C2211yescharacteristic
132#4953C2211yescharacteristic
133#4953C2211yescharacteristic
134#4952C2211yescharacteristic
135#4952C2211yescharacteristic
136#4952C2211yescharacteristic
137#4952C2211yescharacteristic, complemented
138#4952C2211yescharacteristic, complemented
139#4951C2211yescharacteristic, complemented
140#4946C2211yescharacteristic, complemented
141#4946C2211yescharacteristic, complemented
142#4945C2211yescharacteristic, complemented
143#4943C2211yescharacteristic, complemented
144#4942C2211yescharacteristic
145#4942C2211yescharacteristic, complemented
146#4942C2211yescharacteristic, complemented
147#4942C2211yescharacteristic, complemented
148#4942C2211yescharacteristic, complemented
149Dic3×C22⋊C4C2211yescharacteristic
150#4675C2211yescharacteristic
151#4675C2211yescharacteristic, complemented
152#4675C2211yescharacteristic, complemented
153#4673C2211yescharacteristic
154#4673C2211yescharacteristic
155#4673C2211yescharacteristic
156#4673C2211yescharacteristic
157#4672C2211yescharacteristic
158#4670C2211yescharacteristic
159#4670C2211yescharacteristic
160#4669C2211yescharacteristic
161#4668C2211yescharacteristic
162#4668C2211yescharacteristic
163#4668C2211yescharacteristic
164#4668C2211yescharacteristic
165#4667C2211yescharacteristic
166#4667C2211yescharacteristic
167#4667C2211yescharacteristic, complemented
168#4667C2211yescharacteristic, complemented
169#4666C2211yescharacteristic
170#4666C2211yescharacteristic
171#4665C2211yescharacteristic
172#4665C2211yescharacteristic
173#4665C2211yescharacteristic
174#4664C2211yescharacteristic, complemented
175D3×#95C2211yescharacteristic, complemented
176#4658C2211yescharacteristic, complemented
177#4657C2211yescharacteristic, complemented
178#4655C2211yescharacteristic, complemented
179#4655C2211yescharacteristic, complemented
180#4654C2211yescharacteristic, complemented
181#4654C2211yescharacteristic, complemented
182#4652C2211yescharacteristic, complemented
183#4652C2211yescharacteristic, complemented
184#4650C2211yescharacteristic, complemented
185#4647C2211yescharacteristic, complemented
186#4646C2211yescharacteristic, complemented
187#4646C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#548—31no—
191C2×#525—31no—
192#2848—31no—
193#2717—31no—
194#2717—31no—
195#2708—31no—
196#2708D311yescharacteristic, complemented
197#2684—31no—
198#2684—31no—
199#2668—31no—
200#2668—31no—
201#2638—31no—
202#2638—31no—
203#2600—31no—
204#2600—31no—
205#2564—31no—
206#2564—31no—
207#2537—31no—
208#2535—31no—
209#2499—31no—
210#2485—31no—
211#2427—31no—
212#2427—31no—
213#2423—31no—
214#2421—31no—
215#2409—31no—
216#2409—31no—
217#2339—31no—
218#2325—31no—
219#2325—31no—
220C4×#120—31no—
221C24×D3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C23×Dic3C2311yescharacteristic
236C23×Dic3C2311yescharacteristic
237C23×Dic3C2311yescharacteristic
238C23×Dic3C2311yescharacteristic
239C23×Dic3C2311yescharacteristic
240C2×#237—42no—
241C2×#237—42no—
242C2×#237D418yescomplemented
243C22×D12C2311yescharacteristic
244C22×D12C2311yescharacteristic
245C22×C4×D3—24no—
246C22×C4×D3—42no—
247C22×C4×D3—42no—
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C22×Dic6—24no—
256C22×Dic6—42no—
257C22×Dic6—42no—
258C22×Dic6C2311yescharacteristic
259C22×Dic6C2311yescharacteristic
260C22×Dic6C2311yescharacteristic
261C22×Dic6C2311yescharacteristic
262C3×#123—24no—
263C3×#121—24no—
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊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×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294#939—24no—
295#939—24no—
296#939—24no—
297#937—24no—
298#937—24no—
299#936—24no—
300D4×Dic3—24no—
301D4×Dic3—24no—
302#929—24no—
303C4×#67—24no—
304C4×#67—42no—
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×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#897—24no—
359#896—24no—
360#896—24no—
361#896—42no—
362#896—42no—
363#893—24no—
364#893—24no—
365#887—24no—
366#885—24no—
367#885—24no—
368#884—24no—
369#884—24no—
370#884—24no—
371#882—24no—
372#67⋊C4—24no—
373#67⋊C4—24no—
374#67⋊C4—42no—
375#67⋊C4—42no—
376#67⋊C4—42no—
377#878—24no—
378#878—24no—
379#877—24no—
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
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C22×#41—31no—
421C23×Q8—31no—
422C24×C4—31no—
423#548—68no—
424C2×#124—31no—
425C2×#124—31no—
426C2×#124—31no—
427#525—68no—
428C2×#123—31no—
429C2×#123C2×D311yescharacteristic
430C2×C22⋊Q8—31no—
431C2×C22⋊Q8—31no—
432C2×C22⋊Q8—31no—
433C2×C22⋊Q8—31no—
434C2×C22⋊Q8—31no—
435C2×C22⋊Q8—31no—
436C2×C22⋊Q8—31no—
437C2×#121—31no—
438C2×#121—31no—
439C2×#121—31no—
440C2×#121—31no—
441C2×#121—31no—
442C2×#121—31no—
443C2×#121C2×D311yescharacteristic
444C2×#120—31no—
445C2×#120—31no—
446C2×#120—31no—
447C2×C4×Q8—31no—
448C2×C4×D4—31no—
449C2×C4×D4—31no—
450C2×C4×D4—31no—
451C2×C4×D4—31no—
452C2×C4×D4—31no—
453C2×C4×D4—31no—
454C2×C4×D4—31no—
455C2×C4×D4—31no—
456C2×C4×D4—31no—
457C2×C4×D4—31no—
458C2×C4×D4—31no—
459C2×#117—31no—
460#400—31no—
461#400C2×D311yescharacteristic, complemented
462#399—31no—
463#399—31no—
464#398—31no—
465#398C2×D311yescharacteristic, complemented
466#397—31no—
467#397—31no—
468#397—31no—
469#397—31no—
470#397—31no—
471#397—31no—
472#397—31no—
473#397—31no—
474#397—31no—
475#397—31no—
476#397—31no—
477#397—31no—
478#397C2×D311yescharacteristic
479#397C2×D311yescharacteristic, complemented
480#395—31no—
481#395—31no—
482#395—31no—
483#395—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#394C2×D311yescharacteristic
493#394C2×D311yescharacteristic, complemented
494#393—31no—
495#393—31no—
496#393—31no—
497#393—31no—
498#392—31no—
499#392—31no—
500#391—31no—
501#391—31no—
502#391—31no—
503#391—31no—
504#389—31no—
505#389—31no—
506#388—31no—
507#388—31no—
508#388—31no—
509#388—31no—
510#388—31no—
511#388—31no—
512#387—31no—
513#387—31no—
514#387—31no—
515#387—31no—
516#387—31no—
517#387—31no—
518#387—31no—
519#387—31no—
520#387—31no—
521#387—31no—
522#386—31no—
523#386—31no—
524#386—31no—
525#386—31no—
526#386—31no—
527#386—31no—
528#386—31no—
529#386—31no—
530#386—31no—
531#386—31no—
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386C2×D311yescharacteristic
539#386C2×D311yescharacteristic
540#386C2×D311yescharacteristic, complemented
541#385—31no—
542#385—31no—
543#385—31no—
544#385—31no—
545#385—31no—
546#385—31no—
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385C2×D311yescharacteristic
552#385C2×D311yescharacteristic, complemented
553#385C2×D311yescharacteristic, complemented
554#384—31no—
555#382—31no—
556#381—31no—
557#381—31no—
558#380—31no—
559#380—31no—
560#380—31no—
561#380—31no—
562#380—31no—
563#380—31no—
564#380—31no—
565#380—31no—
566#380—31no—
567#380—31no—
568#380C2×D311yescharacteristic, complemented
569#379—31no—
570#379—31no—
571#379—31no—
572C4×C22⋊C4—31no—
573C4×C22⋊C4—31no—
574C4×C22⋊C4—31no—
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
590C2×C3×D4—22no—
591C2×C3×D4—22no—
592C2×C3×D4—22no—
593C2×C3×D4—22no—
594C2×C3×D4—41no—
595C2×C3×D4—41no—
596C2×C3×D4—41no—
597C2×C3×D4—41no—
598C2×C3×D4C2×D414yes—
599C22×C3×C4—22no—
600C22×C3×C4—22no—
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×C4—41no—
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—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×#67C2×D414yes—
639C2×#67C2×D414yes—
640C2×#67#4114yescomplemented
641C22×Dic3—22no—
642C22×Dic3—22no—
643C22×Dic3—22no—
644C22×Dic3—22no—
645C22×Dic3—22no—
646C22×Dic3—22no—
647C22×Dic3—22no—
648C22×Dic3—41no—
649C22×Dic3—41no—
650C22×Dic3—41no—
651C22×Dic3—41no—
652C22×Dic3—41no—
653C22×Dic3—41no—
654C22×Dic3C2×D414yes—
655C22×Dic3C2×D414yes—
656C22×Dic3C2411yescharacteristic
657C22×Dic3C2411yescharacteristic
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660C22×Dic3C2411yescharacteristic
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2411yescharacteristic
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666C22×Dic3C2411yescharacteristic
667C22×Dic3C2411yescharacteristic
668C22×Dic3C2411yescharacteristic
669#237—416no—
670C2×D12—22no—
671C2×D12—22no—
672C2×D12—22no—
673C2×D12—22no—
674C2×D12—41no—
675C2×D12—41no—
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—41no—
686C2×C4×D3—41no—
687C2×C4×D3—41no—
688C2×C4×D3—41no—
689C2×C4×D3—41no—
690C2×C4×D3—41no—
691C2×C4×D3—416no—
692C2×C4×D3—41no—
693C2×C4×D3—41no—
694C2×C4×D3—41no—
695C2×C4×D3—41no—
696C2×C4×D3—41no—
697C2×C4×D3C2×D414yes—
698C2×Dic6—22no—
699C2×Dic6—22no—
700C2×Dic6—22no—
701C2×Dic6—22no—
702C2×Dic6—22no—
703C2×Dic6—22no—
704C2×Dic6—22no—
705C2×Dic6—416no—
706C2×Dic6—41no—
707C2×Dic6—41no—
708C2×Dic6—41no—
709C2×Dic6—41no—
710C2×Dic6C2×D414yes—
711C3×C4⋊C4—22no—
712C3×C4⋊C4—22no—
713C3×C4⋊C4—22no—
714C3×C4⋊C4—41no—
715C3×C4⋊C4—41no—
716C3×C4⋊C4—41no—
717C3×C4⋊C4—41no—
718C3×C22⋊C4—22no—
719C3×C22⋊C4—22no—
720C3×C22⋊C4—22no—
721C3×C22⋊C4—22no—
722C3×C22⋊C4—22no—
723C3×C22⋊C4—22no—
724C3×C22⋊C4—41no—
725C3×C22⋊C4—41no—
726C3×C22⋊C4—41no—
727C3×C22⋊C4—41no—
728C3×C22⋊C4—41no—
729C3×C22⋊C4—41no—
730#217—22no—
731#217—22no—
732#217—22no—
733#217—22no—
734#217—22no—
735#217—22no—
736#217—22no—
737#217—22no—
738#217—41no—
739#217—41no—
740#217—41no—
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—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—
766C4⋊Dic3—22no—
767C4⋊Dic3—22no—
768C4⋊Dic3—41no—
769C4⋊Dic3—41no—
770Dic3⋊C4—22no—
771Dic3⋊C4—22no—
772Dic3⋊C4—22no—
773Dic3⋊C4—22no—
774Dic3⋊C4—22no—
775Dic3⋊C4—22no—
776Dic3⋊C4—22no—
777Dic3⋊C4—22no—
778Dic3⋊C4—22no—
779Dic3⋊C4—22no—
780Dic3⋊C4—22no—
781Dic3⋊C4—41no—
782Dic3⋊C4—41no—
783Dic3⋊C4—41no—
784Dic3⋊C4—41no—
785Dic3⋊C4—41no—
786Dic3⋊C4—41no—
787C4×Dic3—22no—
788C4×Dic3—22no—
789C4×Dic3—22no—
790C4×Dic3—22no—
791C4×Dic3—22no—
792C4×Dic3—22no—
793C4×Dic3—22no—
794C25—31no—
795C2×#41—38no—
796C2×#41—122no—
797C2×#41—122no—
798C22×Q8—31no—
799C22×Q8—31no—
800C22×Q8—31no—
801C22×Q8—31no—
802C22×Q8—64no—
803C22×Q8—122no—
804C22×Q8—122no—
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×D4C22×D311yescharacteristic
815C22×D4C22×D311yescharacteristic
816C22×D4C22×D311yescharacteristic
817C23×C4—31no—
818C23×C4—31no—
819C23×C4—31no—
820C23×C4—31no—
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—64no—
830C23×C4—122no—
831C23×C4—122no—
832C23×C4C22×D311yescharacteristic
833C23×C4C22×D311yescharacteristic
834C23×C4C22×D311yescharacteristic
835#124—64no—
836#124—64no—
837#124—64no—
838#123—24no—
839#123—64no—
840C22⋊Q8—64no—
841C22⋊Q8—64no—
842C22⋊Q8—64no—
843C22⋊Q8—64no—
844C22⋊Q8—64no—
845C22⋊Q8—122no—
846C22⋊Q8—122no—
847#121—24no—
848#121—64no—
849#121—64no—
850#121—64no—
851#121—64no—
852#121—64no—
853#121—64no—
854#120—64no—
855#120—64no—
856#120—64no—
857C4×Q8—64no—
858C4×D4—64no—
859C4×D4—64no—
860C4×D4—64no—
861C4×D4—64no—
862C4×D4—64no—
863C4×D4—64no—
864C4×D4—64no—
865C4×D4—122no—
866C4×D4—122no—
867C4×D4—122no—
868C4×D4—122no—
869#117—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⋊C4C22×D311yescharacteristic
892C2×C4⋊C4C22×D311yescharacteristic
893C2×C4⋊C4C22×D311yescharacteristic
894C2×C4⋊C4C22×D311yescharacteristic
895C2×C4⋊C4C22×D311yescharacteristic
896C2×C4⋊C4C22×D311yescharacteristic
897C2×C4⋊C4C22×D311yescharacteristic
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—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⋊C4C22×D311yescharacteristic
935C2×C22⋊C4C22×D311yescharacteristic
936C2×C22⋊C4C22×D311yescharacteristic
937C2×C22⋊C4C22×D311yescharacteristic
938C2×C22⋊C4C22×D311yescharacteristic
939C2×C22⋊C4C22×D311yescharacteristic
940C2×C22⋊C4C22×D311yescharacteristic
941C2×C22⋊C4C22×D311yescharacteristic
942C2×C22⋊C4C22×D311yescharacteristic
943C2×C22⋊C4C22×D311yescharacteristic
944C2×C22⋊C4C22×D311yescharacteristic
945C2×C22⋊C4C22×D311yescharacteristic
946C2×C42—31no—
947C2×C42—31no—
948C2×C42—31no—
949C2×C42—31no—
950C2×C42—31no—
951C2×C42—31no—
952C2×C42—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#95—31no—
965#95—31no—
966#95—31no—
967#95—31no—
968#95—31no—
969#95—31no—
970#95—31no—
971#95—31no—
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#95C22×D311yescharacteristic
984#95C22×D311yescharacteristic
985#95C22×D311yescharacteristic
986#95C22×D311yescharacteristic
987#95C22×D311yescharacteristic
988#95C22×D311yescharacteristic
989#95C22×D311yescharacteristic
990#95C22×D311yescharacteristic
991#95C22×D311yescharacteristic
992#95C22×D311yescharacteristic
993C23×C3—21no—
994C23×C3—21no—
995C23×C3—21no—
996C23×C3—21no—
997C23×C3—21no—
998C23×C3—21no—
999C23×C3—21no—
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×C3C22×D412yes—
1012C23×C3C22×D412yes—
1013C23×C3C2×#4112yes—
1014C23×C3C2511yescharacteristic
1015C22×D3—21no—
1016C22×D3—21no—
1017C22×D3—21no—
1018C22×D3—21no—
1019C22×D3—21no—
1020C22×D3—21no—
1021C22×D3—21no—
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—44no—
1034C22×D3—44no—
1035C22×D3—44no—
1036C22×D3—44no—
1037C22×D3—44no—
1038C22×D3—44no—
1039C22×D3—44no—
1040C22×D3C22×D412yes—
1041C22×D3C2×#4112yes—
1042C22×D32−1+412yes—
1043C3×D4—44no—
1044C3×D4—44no—
1045C3×D4—44no—
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—21no—
1055C2×C3×C4—21no—
1056C2×C3×C4—21no—
1057C2×C3×C4—21no—
1058C2×C3×C4—21no—
1059C2×C3×C4—21no—
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—44no—
1082C2×C3×C4—44no—
1083C2×C3×C4—82no—
1084C2×C3×C4C22×D412yes—
1085#67—28no—
1086#67—44no—
1087#67—44no—
1088#67—44no—
1089#67—44no—
1090#67—44no—
1091#67—44no—
1092C2×Dic3—21no—
1093C2×Dic3—21no—
1094C2×Dic3—21no—
1095C2×Dic3—21no—
1096C2×Dic3—21no—
1097C2×Dic3—21no—
1098C2×Dic3—28no—
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—21no—
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—44no—
1127C2×Dic3—44no—
1128C2×Dic3—44no—
1129C2×Dic3—82no—
1130C2×Dic3C22×D412yes—
1131C2×Dic3C22×D412yes—
1132C2×Dic3C22×D412yes—
1133C2×Dic3C2×#4112yes—
1134C2×Dic3H(5,𝔽2)12yes—
1135C2×Dic3H(5,𝔽2)12yes—
1136D12—44no—
1137D12—44no—
1138C4×D3—44no—
1139C4×D3—44no—
1140C4×D3—44no—
1141C4×D3—44no—
1142C4×D3—44no—
1143C4×D3—82no—
1144C4×D3—82no—
1145Dic6—28no—
1146Dic6—44no—
1147Dic6—44no—
1148Dic6—44no—
1149C24—31no—
1150C24—31no—
1151C24—31no—
1152C24—62no—
1153C24—62no—
1154C24—62no—
1155C24—121no—
1156C24—121no—
1157C24—121no—
1158C24—121no—
1159C24C23×D311yescharacteristic
1160C24C23×D311yescharacteristic
1161C24C23×D311yescharacteristic
1162#41—1216no—
1163C2×Q8—34no—
1164C2×Q8—62no—
1165C2×Q8—62no—
1166C2×Q8—62no—
1167C2×Q8—62no—
1168C2×Q8—62no—
1169C2×Q8—62no—
1170C2×Q8—62no—
1171C2×Q8—121no—
1172C2×Q8—121no—
1173C2×Q8—121no—
1174C2×Q8—121no—
1175C2×Q8—1216no—
1176C2×D4—22no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—34no—
1181C2×D4—34no—
1182C2×D4—34no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—41no—
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—121no—
1202C2×D4—121no—
1203C2×D4—121no—
1204C2×D4—121no—
1205C2×D4—121no—
1206C2×D4—121no—
1207C2×D4—121no—
1208C2×D4—121no—
1209C2×D4—121no—
1210C2×D4—121no—
1211C2×D4D3×D414yes—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—31no—
1215C22×C4—34no—
1216C22×C4—31no—
1217C22×C4—31no—
1218C22×C4—31no—
1219C22×C4—34no—
1220C22×C4—34no—
1221C22×C4—31no—
1222C22×C4—31no—
1223C22×C4—31no—
1224C22×C4—31no—
1225C22×C4—31no—
1226C22×C4—31no—
1227C22×C4—31no—
1228C22×C4—31no—
1229C22×C4—31no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—62no—
1238C22×C4—62no—
1239C22×C4—62no—
1240C22×C4—62no—
1241C22×C4—62no—
1242C22×C4—62no—
1243C22×C4—62no—
1244C22×C4—62no—
1245C22×C4—62no—
1246C22×C4—62no—
1247C22×C4—62no—
1248C22×C4—62no—
1249C22×C4—62no—
1250C22×C4—62no—
1251C22×C4—62no—
1252C22×C4—62no—
1253C22×C4—121no—
1254C22×C4—121no—
1255C22×C4—121no—
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—1216no—
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—41no—
1287C4⋊C4—41no—
1288C4⋊C4—41no—
1289C4⋊C4—41no—
1290C4⋊C4—62no—
1291C4⋊C4—62no—
1292C4⋊C4—62no—
1293C4⋊C4—62no—
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—121no—
1304C4⋊C4—121no—
1305C4⋊C4—121no—
1306C4⋊C4—121no—
1307C4⋊C4—121no—
1308C4⋊C4—121no—
1309C4⋊C4—121no—
1310C4⋊C4—121no—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—62no—
1324C22⋊C4—62no—
1325C22⋊C4—62no—
1326C22⋊C4—62no—
1327C22⋊C4—62no—
1328C22⋊C4—62no—
1329C22⋊C4—62no—
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—121no—
1346C22⋊C4—121no—
1347C22⋊C4—121no—
1348C22⋊C4—121no—
1349C22⋊C4—121no—
1350C22⋊C4—121no—
1351C22⋊C4—121no—
1352C22⋊C4—121no—
1353C22⋊C4—121no—
1354C22⋊C4—121no—
1355C22⋊C4—121no—
1356C22⋊C4—121no—
1357C22⋊C4—121no—
1358C22⋊C4—121no—
1359C42—62no—
1360C42—62no—
1361C42—62no—
1362C42—62no—
1363C42—62no—
1364C42—62no—
1365C42—62no—
1366C22×C3—22no—
1367C22×C3—22no—
1368C22×C3—22no—
1369C22×C3—22no—
1370C22×C3—22no—
1371C22×C3—22no—
1372C22×C3—22no—
1373C22×C3—22no—
1374C22×C3—22no—
1375C22×C3—41no—
1376C22×C3—41no—
1377C22×C3—41no—
1378C22×C3—41no—
1379C22×C3—41no—
1380C22×C3—41no—
1381C22×C3—41no—
1382C22×C3—41no—
1383C22×C3—41no—
1384C22×C3—41no—
1385C22×C3—41no—
1386C22×C3—41no—
1387C22×C3C23×D411yescharacteristic
1388C22×C3C22×#4111yescharacteristic
1389C22×C3C2×H(5,𝔽2)11yescharacteristic
1390C22×C3C2×H(5,𝔽2)11yescharacteristic
1391C22×C3C2×2−1+411yescharacteristic
1392C22×C3#58511yescharacteristic
1393C22×C3#58511yescharacteristic
1394C2×D3—22no—
1395C2×D3—22no—
1396C2×D3—22no—
1397C2×D3—22no—
1398C2×D3—22no—
1399C2×D3—22no—
1400C2×D3—22no—
1401C2×D3—22no—
1402C2×D3—22no—
1403C2×D3—416no—
1404C2×D3—41no—
1405C2×D3—41no—
1406C2×D3—41no—
1407C2×D3—41no—
1408C2×D3—41no—
1409C2×D3—41no—
1410C2×D3—41no—
1411C2×D3—41no—
1412C2×D3—41no—
1413C2×D3—41no—
1414C2×D3—41no—
1415C2×D3—41no—
1416C3×C4—22no—
1417C3×C4—41no—
1418C3×C4—41no—
1419C3×C4—41no—
1420C3×C4—41no—
1421C3×C4—41no—
1422C3×C4—41no—
1423C3×C4—41no—
1424C3×C4—41no—
1425C3×C4—41no—
1426C3×C4—41no—
1427C3×C4—41no—
1428Dic3—22no—
1429Dic3—22no—
1430Dic3—22no—
1431Dic3—41no—
1432Dic3—41no—
1433Dic3—41no—
1434Dic3—41no—
1435Dic3—41no—
1436Dic3—41no—
1437Dic3—41no—
1438Dic3—41no—
1439Dic3—41no—
1440Dic3#53414yes—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—32no—
1460C23—32no—
1461C23—32no—
1462C23—61no—
1463C23—61no—
1464C23—61no—
1465C23—61no—
1466C23—61no—
1467C23—61no—
1468C23—61no—
1469C23—61no—
1470C23—61no—
1471C23—61no—
1472C23—61no—
1473C23—61no—
1474C23—61no—
1475C23—61no—
1476C23—61no—
1477C23—61no—
1478C23—61no—
1479C23—61no—
1480C23—124no—
1481C23—124no—
1482C23—124no—
1483C23—124no—
1484C23—124no—
1485C23—124no—
1486C23—124no—
1487C23C2×D3×D412yes—
1488C23C2×D3×D412yes—
1489C23D3×#4112yes—
1490C23C24×D311yescharacteristic
1491Q8—68no—
1492Q8—124no—
1493Q8—124no—
1494Q8—124no—
1495D4—44no—
1496D4—44no—
1497D4—44no—
1498D4—68no—
1499D4—124no—
1500D4—124no—
1501D4—124no—
1502D4—124no—
1503D4—124no—
1504D4—124no—
1505D4—124no—
1506D4—124no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—32no—
1543C2×C4—32no—
1544C2×C4—32no—
1545C2×C4—32no—
1546C2×C4—32no—
1547C2×C4—32no—
1548C2×C4—44no—
1549C2×C4—44no—
1550C2×C4—68no—
1551C2×C4—61no—
1552C2×C4—61no—
1553C2×C4—61no—
1554C2×C4—61no—
1555C2×C4—61no—
1556C2×C4—61no—
1557C2×C4—61no—
1558C2×C4—61no—
1559C2×C4—61no—
1560C2×C4—61no—
1561C2×C4—61no—
1562C2×C4—61no—
1563C2×C4—61no—
1564C2×C4—61no—
1565C2×C4—61no—
1566C2×C4—61no—
1567C2×C4—61no—
1568C2×C4—61no—
1569C2×C4—61no—
1570C2×C4—61no—
1571C2×C4—61no—
1572C2×C4—61no—
1573C2×C4—61no—
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—82no—
1585C2×C4—124no—
1586C2×C4—124no—
1587C2×C4—124no—
1588C2×C4—124no—
1589C2×C4—124no—
1590C2×C4—124no—
1591C2×C4—124no—
1592C2×C4—124no—
1593C2×C4—242no—
1594C2×C4—242no—
1595C2×C4—242no—
1596C2×C4C2×D3×D412yes—
1597C2×C3—42no—
1598C2×C3—42no—
1599C2×C3—42no—
1600C2×C3C2×#53411yescharacteristic
1601C2×C3D4×#4111yescharacteristic
1602C2×C3#348911yescharacteristic
1603C2×C3#350511yescharacteristic
1604C2×C3#352011yescharacteristic
1605C2×C3#354011yescharacteristic
1606C2×C3#354111yescharacteristic
1607D3—42no—
1608D3—42no—
1609D3—42no—
1610C22—22no—
1611C22—22no—
1612C22—22no—
1613C22—22no—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—62no—
1632C22—62no—
1633C22—62no—
1634C22—62no—
1635C22—62no—
1636C22—62no—
1637C22—62no—
1638C22—62no—
1639C22—62no—
1640C22—1216no—
1641C22—121no—
1642C22—121no—
1643C22—121no—
1644C22—121no—
1645C22—121no—
1646C22—121no—
1647C22—121no—
1648C22—121no—
1649C22—121no—
1650C22—121no—
1651C22—121no—
1652C22—121no—
1653C22C22×D3×D411yescharacteristic
1654C22C2×D3×#4111yescharacteristic
1655C22#596411yescharacteristic
1656C22D3×H(5,𝔽2)11yescharacteristic
1657C22D3×H(5,𝔽2)11yescharacteristic
1658C22#596611yescharacteristic
1659C22D3×2−1+411yescharacteristic
1660C4—22no—
1661C4—34no—
1662C4—41no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—62no—
1674C4—62no—
1675C4—62no—
1676C4—121no—
1677C4—121no—
1678C4—121no—
1679C4—121no—
1680C4—121no—
1681C4—121no—
1682C4—121no—
1683C4—121no—
1684C4—121no—
1685C3#3986011yescharacteristic, complemented, Sylow
1686C2—42no—
1687C2—42no—
1688C2—42no—
1689C2—122no—
1690C2—122no—
1691C2—122no—
1692C2D3×#53411yescharacteristic
1693C2#8639711yescharacteristic
1694C2#8645611yescharacteristic
1695C2#8662611yescharacteristic
1696C2#8667711yescharacteristic
1697C2#8691211yescharacteristic
1698C2#8709611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2708C2
hypercenter#2708D3
hypocenterC3#39860
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2708

Complements

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

NH ≅ G/Ntype
1. C2×#5656C2semidirect
2. C2×#5598C2semidirect
3. C3×#2708C2semidirect
4. #82886C2semidirect
5. #82713C2semidirect
6. #78356C2semidirect
7. #78134C2semidirect
8. #77826C2semidirect
9. #77743C2semidirect
10. #77691C2semidirect
11. #77546C2semidirect
12. #77491C2semidirect
13. #77466C2semidirect
14. #77127C2semidirect
15. #76963C2semidirect
16. #76944C2semidirect
17. #76933C2semidirect
18. #74926C2semidirect
19. #74918C2semidirect
20. #74751C2semidirect
21. #74672C2semidirect
22. #74666C2semidirect
23. #74659C2semidirect
24. #74655C2semidirect
25. #74640C2semidirect
26. #74617C2semidirect
27. #74594C2semidirect
28. #74405C2semidirect
29. #74405C2semidirect
30. #73943C2semidirect
31. #73895C2semidirect
35. C23×Dic6C22semidirect
40. C2×#939C22semidirect
45. C2×D4×Dic3C22semidirect
47. C2×C4×#67C22semidirect
48. C2×C4×#67C22semidirect
51. C2×#897C22semidirect
58. C2×#887C22semidirect
60. C2×#885C22semidirect
69. C2×#67⋊C4C22semidirect
71. C2×#878C22semidirect
73. C3×#400C22semidirect
74. C3×#398C22semidirect
76. C3×#397C22semidirect
78. C3×#394C22semidirect
81. C3×#386C22semidirect
83. C3×#385C22semidirect
84. C3×#385C22semidirect
85. C3×#380C22semidirect
95. C2×C3⋊#95C22semidirect
99. #4992C22semidirect
105. #4987C22semidirect
106. #4980C22semidirect
107. #4980C22semidirect
108. #4979C22semidirect
109. #4979C22semidirect
110. #4979C22semidirect
111. #4979C22semidirect
112. #4978C22semidirect
113. #4978C22semidirect
114. #4976C22semidirect
115. #4975C22semidirect
118. #4961C22semidirect
128. #4956C22semidirect
137. #4952C22semidirect
138. #4952C22semidirect
139. #4951C22semidirect
140. #4946C22semidirect
141. #4946C22semidirect
142. #4945C22semidirect
143. #4943C22semidirect
145. #4942C22semidirect
146. #4942C22semidirect
147. #4942C22semidirect
148. #4942C22semidirect
151. #4675C22semidirect
152. #4675C22semidirect
167. #4667C22semidirect
168. #4667C22semidirect
174. #4664C22semidirect
175. D3×#95C22semidirect
176. #4658C22semidirect
177. #4657C22semidirect
178. #4655C22semidirect
179. #4655C22semidirect
180. #4654C22semidirect
181. #4654C22semidirect
182. #4652C22semidirect
183. #4652C22semidirect
184. #4650C22semidirect
185. #4647C22semidirect
186. #4646C22semidirect
187. #4646C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
196. #2708D3semidirect
242. C2×#237D4semidirect
461. #400C2×D3semidirect
465. #398C2×D3semidirect
479. #397C2×D3semidirect
493. #394C2×D3semidirect
540. #386C2×D3semidirect
552. #385C2×D3semidirect
553. #385C2×D3semidirect
568. #380C2×D3semidirect
640. C2×#67#41semidirect
1685. C3#39860semidirect

Maximal subgroups

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

subgroupindex
C2×#56562
C2×#55982
C3×#27082
#828862
#827132
#783562
#781342
#778262
#777432
#776912
#775462
#774912
#774662
#771272
#769632
#769442
#769332
#749262
#749182
#747512
#746722
#746662
#746592
#746552
#746402
#746172
#745942
#744052
#739432
#738952
#398603