Finite Group Databasebeta

← #11226263

Subgroups — #11226263

Order 768.

2224 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
1C3×#2412C211yesmaximal, characteristic, complemented
2#82850C211yesmaximal, characteristic, complemented
3#82849C211yesmaximal, characteristic, complemented
4#82598C211yesmaximal, characteristic, complemented
5#82588C211yesmaximal, characteristic
6#82129C211yesmaximal, characteristic, complemented
7C22⋊C4×#67C211yesmaximal, characteristic, complemented
8C22⋊C4×#67C211yesmaximal, characteristic, complemented
9#82111C211yesmaximal, characteristic, complemented
10#77691C211yesmaximal, characteristic, complemented
11#77668C211yesmaximal, characteristic, complemented
12#77488C211yesmaximal, characteristic, complemented
13#77461C211yesmaximal, characteristic, complemented
14#77119C211yesmaximal, characteristic, complemented
15#76935C211yesmaximal, characteristic, complemented
16#76926C211yesmaximal, characteristic, complemented
17#76899C211yesmaximal, characteristic, complemented
18#74932C211yesmaximal, characteristic, complemented
19#74851C211yesmaximal, characteristic, complemented
20#74808C211yesmaximal, characteristic, complemented
21#74708C211yesmaximal, characteristic, complemented
22#74679C211yesmaximal, characteristic, complemented
23#74667C211yesmaximal, characteristic, complemented
24#74649C211yesmaximal, characteristic, complemented
25#74425C211yesmaximal, characteristic, complemented
26#74143C211yesmaximal, characteristic, complemented
27#74061C211yesmaximal, characteristic, complemented
28#73964C211yesmaximal, characteristic, complemented
29#73942C211yesmaximal, characteristic, complemented
30#73904C211yesmaximal, characteristic, complemented
31#73870C211yesmaximal, characteristic, complemented
32#45013—31nomaximal, Sylow
33C23×#67C2211yescharacteristic
34C2×C3×#123C2211yescharacteristic, complemented
35C2×C3×#120C2211yescharacteristic
36C22×C3×C22⋊C4C2211yescharacteristic
37C22×C3×C22⋊C4C2211yescharacteristic
38C2×#953C2211yescharacteristic
39C2×#940C2211yescharacteristic
40C2×#940C2211yescharacteristic
41C2×#939C2211yescharacteristic
42C2×#937C2211yescharacteristic
43C2×#936C2211yescharacteristic
44C2×#929C2211yescharacteristic, complemented
45C2×C4×#67C2211yescharacteristic
46C2×C4×#67C2211yescharacteristic
47C2×C4×#67C2211yescharacteristic
48C2×C4×#67C2211yescharacteristic
49C2×C4×#67C2211yescharacteristic, complemented
50C2×#924C2211yescharacteristic, complemented
51C2×#896C2211yescharacteristic, complemented
52C2×#894C2211yescharacteristic, complemented
53C2×#888C2211yescharacteristic, complemented
54C2×#885C2211yescharacteristic
55C2×#883C2211yescharacteristic, complemented
56C2×#882C2211yescharacteristic
57C2×#67⋊C4C2211yescharacteristic, complemented
58C2×#67⋊C4C2211yescharacteristic, complemented
59C2×D3×C22⋊C4C2211yescharacteristic
60C2×D3×C22⋊C4C2211yescharacteristic
61C3×#397C2211yescharacteristic
62C3×#397C2211yescharacteristic
63C3×#394C2211yescharacteristic
64C3×#394C2211yescharacteristic
65C3×#386C2211yescharacteristic, complemented
66C3×#386C2211yescharacteristic, complemented
67C3×#386C2211yescharacteristic, complemented
68C3×#385C2211yescharacteristic, complemented
69C3×#381C2211yescharacteristic, complemented
70C3×#380C2211yescharacteristic, complemented
71C3×#380C2211yescharacteristic, complemented
72#5247C2211yescharacteristic
73#5247C2211yescharacteristic
74#5223C2211yescharacteristic
75#5223C2211yescharacteristic
76#5222C2211yescharacteristic, complemented
77#5222C2211yescharacteristic, complemented
78#5220C2211yescharacteristic
79#5220C2211yescharacteristic, complemented
80#5220C2211yescharacteristic, complemented
81#5213C2211yescharacteristic
82#5213C2211yescharacteristic
83#5213C2211yescharacteristic
84#5213C2211yescharacteristic
85#5213C2211yescharacteristic, complemented
86#5213C2211yescharacteristic, complemented
87#5212C2211yescharacteristic, complemented
88#5211C2211yescharacteristic, complemented
89C4×#217C2211yescharacteristic, complemented
90#4994C2211yescharacteristic, complemented
91#4992C2211yescharacteristic, complemented
92#4991C2211yescharacteristic, complemented
93#4990C2211yescharacteristic, complemented
94#4990C2211yescharacteristic, complemented
95#4990C2211yescharacteristic, complemented
96#4987C2211yescharacteristic, complemented
97#4987C2211yescharacteristic, complemented
98#4985C2211yescharacteristic, complemented
99#4978C2211yescharacteristic, complemented
100#4976C2211yescharacteristic, complemented
101#4976C2211yescharacteristic, complemented
102Dic3×C4⋊C4C2211yescharacteristic, complemented
103#4961C2211yescharacteristic
104#4961C2211yescharacteristic, complemented
105#4961C2211yescharacteristic, complemented
106#4961C2211yescharacteristic, complemented
107#4960C2211yescharacteristic
108#4960C2211yescharacteristic
109#4959C2211yescharacteristic
110#4959C2211yescharacteristic, complemented
111#4958C2211yescharacteristic, complemented
112#4957C2211yescharacteristic
113#4957C2211yescharacteristic
114#4957C2211yescharacteristic
115#4957C2211yescharacteristic
116#4957C2211yescharacteristic
117#4957C2211yescharacteristic
118#4957C2211yescharacteristic, complemented
119#4957C2211yescharacteristic, complemented
120#4957C2211yescharacteristic, complemented
121#4957C2211yescharacteristic, complemented
122#4957C2211yescharacteristic, complemented
123#4956C2211yescharacteristic
124#4956C2211yescharacteristic
125#4956C2211yescharacteristic
126#4956C2211yescharacteristic
127#4956C2211yescharacteristic
128#4956C2211yescharacteristic, complemented
129#4956C2211yescharacteristic, complemented
130#4956C2211yescharacteristic, complemented
131#4955C2211yescharacteristic
132#4955C2211yescharacteristic
133#4952C2211yescharacteristic
134#4952C2211yescharacteristic
135#4952C2211yescharacteristic
136#4952C2211yescharacteristic, complemented
137#4951C2211yescharacteristic
138#4951C2211yescharacteristic, complemented
139#4948C2211yescharacteristic
140#4948C2211yescharacteristic, complemented
141#4947C2211yescharacteristic, complemented
142#4947C2211yescharacteristic, complemented
143#4947C2211yescharacteristic, complemented
144#4947C2211yescharacteristic, complemented
145#4944C2211yescharacteristic
146#4944C2211yescharacteristic, complemented
147#4944C2211yescharacteristic, complemented
148#4944C2211yescharacteristic, complemented
149#4944C2211yescharacteristic, complemented
150#4943C2211yescharacteristic, complemented
151#4942C2211yescharacteristic
152#4942C2211yescharacteristic
153Dic3×C22⋊C4C2211yescharacteristic
154Dic3×C22⋊C4C2211yescharacteristic
155Dic3×C22⋊C4C2211yescharacteristic
156#4673C2211yescharacteristic, complemented
157#4673C2211yescharacteristic, complemented
158#4673C2211yescharacteristic, complemented
159#4673C2211yescharacteristic, complemented
160#4672C2211yescharacteristic, complemented
161#4669C2211yescharacteristic, complemented
162#4669C2211yescharacteristic, complemented
163#4668C2211yescharacteristic, complemented
164#4667C2211yescharacteristic, complemented
165#4666C2211yescharacteristic, complemented
166#4665C2211yescharacteristic, complemented
167#4665C2211yescharacteristic, complemented
168#4665C2211yescharacteristic, complemented
169#4665C2211yescharacteristic, complemented
170#4665C2211yescharacteristic, complemented
171#4664C2211yescharacteristic, complemented
172#4664C2211yescharacteristic, complemented
173#4664C2211yescharacteristic, complemented
174C3⋊#401C2211yescharacteristic, complemented
175C3⋊#401C2211yescharacteristic, complemented
176C3⋊#401C2211yescharacteristic, complemented
177#4660C2211yescharacteristic, complemented
178#4658C2211yescharacteristic, complemented
179#4654C2211yescharacteristic, complemented
180#4650C2211yescharacteristic, complemented
181#4650C2211yescharacteristic, complemented
182#4649C2211yescharacteristic, complemented
183#4649C2211yescharacteristic, complemented
184#4649C2211yescharacteristic, complemented
185#4649C2211yescharacteristic, complemented
186#4648C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#2778—31no—
189#2778—31no—
190#2760—31no—
191#2760—31no—
192#2696—31no—
193#2696—31no—
194#2684—31no—
195#2684—31no—
196#2563—31no—
197#2534—31no—
198#2534—31no—
199#2494—31no—
200#2491—31no—
201#2472—31no—
202#2472—31no—
203#2457—31no—
204#2457—31no—
205#2452—31no—
206#2445—31no—
207#2445—31no—
208#2433—31no—
209#2420—31no—
210#2412—31no—
211#2412D311yescharacteristic, complemented
212#2401—31no—
213#2366—31no—
214#2357—31no—
215D4×C22⋊C4—31no—
216D4×C22⋊C4—31no—
217#2328—31no—
218#2319—31no—
219C25×C3C2311yescharacteristic
220C24×D3C2311yescharacteristic
221C22×C3×D4C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C22×#67—24no—
229C22×#67—24no—
230C22×#67—42no—
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C23×Dic3C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C22×D12C2311yescharacteristic
244C22×D12C2311yescharacteristic
245C22×C4×D3C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×Dic6C2311yescharacteristic
251C22×Dic6C2311yescharacteristic
252C3×#123—42no—
253C3×#120—42no—
254C2×C3×C4⋊C4C2311yescharacteristic
255C2×C3×C4⋊C4C2311yescharacteristic
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C22⋊C4—42no—
259C2×C3×C22⋊C4—42no—
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×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275#953—42no—
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
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295#940—24no—
296#940—24no—
297#939—42no—
298#937—42no—
299#936—42no—
300#929—42no—
301C4×#67—24no—
302C4×#67—24no—
303C4×#67—42no—
304C4×#67—42no—
305C4×#67—42no—
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
333#924—42no—
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×C4×Dic3C2311yescharacteristic
347C2×C4×Dic3C2311yescharacteristic
348C2×C4×Dic3C2311yescharacteristic
349C2×C4×Dic3C2311yescharacteristic
350C2×C4×Dic3C2311yescharacteristic
351C2×C4×Dic3C2311yescharacteristic
352C2×C4×Dic3C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356#896—42no—
357#894—42no—
358#888—42no—
359#885—42no—
360#883—42no—
361#882—42no—
362#67⋊C4—42no—
363#67⋊C4—42no—
364D3×C22⋊C4—42no—
365D3×C22⋊C4—42no—
366C3×#95C2311yescharacteristic
367C3×#95C2311yescharacteristic
368C3×#95C2311yescharacteristic
369C3×#95C2311yescharacteristic
370C3×#95C2311yescharacteristic
371C3×#95C2311yescharacteristic
372C3×#95C2311yescharacteristic
373C3×#95C2311yescharacteristic
374C3⋊#95C2311yescharacteristic
375C3⋊#95C2311yescharacteristic
376C3⋊#95C2311yescharacteristic
377C3⋊#95C2311yescharacteristic
378C3⋊#95C2311yescharacteristic
379C3⋊#95C2311yescharacteristic
380C3⋊#95C2311yescharacteristic
381C3⋊#95C2311yescharacteristic
382C3⋊#95C2311yescharacteristic
383C3⋊#95C2311yescharacteristic
384C3⋊#95C2311yescharacteristic
385C3⋊#95C2311yescharacteristic
386C3⋊#95C2311yescharacteristic
387C3⋊#95C2311yescharacteristic
388C3⋊#95C2311yescharacteristic
389C3⋊#95C2311yescharacteristic
390C3⋊#95C2311yescharacteristic
391C3⋊#95C2311yescharacteristic
392C3⋊#95C2311yescharacteristic
393C3⋊#95C2311yescharacteristic
394C3⋊#95C2311yescharacteristic
395C3⋊#95C2311yescharacteristic
396C3⋊#95C2311yescharacteristic
397C3⋊#95C2311yescharacteristic
398C3⋊#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C23×D4—31no—
405C2×C4⋊Q8—31no—
406C2×#127—31no—
407C2×#127—31no—
408C2×#124—31no—
409C2×#124—31no—
410C2×#123—31no—
411C2×#123—31no—
412C2×#123—31no—
413C2×#123C2×D311yescharacteristic, complemented
414C2×C22⋊Q8—31no—
415C2×C22⋊Q8—31no—
416C2×#121—31no—
417C2×#120—31no—
418C2×#120—31no—
419C2×#120—31no—
420C2×#120C2×D311yescharacteristic
421C2×C4×D4—31no—
422C2×C4×D4—31no—
423C2×C4×D4—31no—
424C2×C4×D4—31no—
425C2×C4×D4—31no—
426C2×C4×D4—31no—
427C2×C4×D4—31no—
428C22×C22⋊C4—31no—
429C22×C22⋊C4—31no—
430C22×C22⋊C4C2×D311yescharacteristic
431C22×C22⋊C4C2×D311yescharacteristic
432#401—31no—
433#401—31no—
434#401—31no—
435#400—31no—
436#400—31no—
437#400—31no—
438#397—31no—
439#397—31no—
440#397—31no—
441#397—31no—
442#397—31no—
443#397C2×D311yescharacteristic
444#397C2×D311yescharacteristic
445#396—31no—
446#396—31no—
447#396—31no—
448#394—31no—
449#394—31no—
450#394—31no—
451#394—31no—
452#394—31no—
453#394—31no—
454#394—31no—
455#394—31no—
456#394—31no—
457#394—31no—
458#394C2×D311yescharacteristic
459#394C2×D311yescharacteristic
460#393—31no—
461#393—31no—
462#393—31no—
463#393—31no—
464#393—31no—
465#393—31no—
466#393—31no—
467#393—31no—
468#392—31no—
469#392—31no—
470#392—31no—
471#392—31no—
472#390—31no—
473#390—31no—
474#390—31no—
475#390—31no—
476#390—31no—
477#390—31no—
478#390—31no—
479#390—31no—
480#390—31no—
481#390—31no—
482#390—31no—
483#389—31no—
484#389—31no—
485#389—31no—
486#388—31no—
487#388—31no—
488#388—31no—
489#388—31no—
490#388—31no—
491#388—31no—
492#388—31no—
493#388—31no—
494#388—31no—
495#388—31no—
496#388—31no—
497#388—31no—
498#387—31no—
499#387—31no—
500#386—31no—
501#386—31no—
502#386—31no—
503#386—31no—
504#386—31no—
505#386—31no—
506#386—31no—
507#386—31no—
508#386—31no—
509#386—31no—
510#386—31no—
511#386—31no—
512#386—31no—
513#386—31no—
514#386—31no—
515#386—31no—
516#386—31no—
517#386—31no—
518#386—31no—
519#386—31no—
520#386—31no—
521#386—31no—
522#386—31no—
523#386C2×D311yescharacteristic, complemented
524#386C2×D311yescharacteristic, complemented
525#386C2×D311yescharacteristic, complemented
526#385—31no—
527#385C2×D311yescharacteristic, complemented
528#382—31no—
529#382—31no—
530#381—31no—
531#381—31no—
532#381—31no—
533#381—31no—
534#381—31no—
535#381C2×D311yescharacteristic, complemented
536#380—31no—
537#380—31no—
538#380—31no—
539#380—31no—
540#380—31no—
541#380—31no—
542#380C2×D311yescharacteristic, complemented
543#380C2×D311yescharacteristic, complemented
544#379—31no—
545#379—31no—
546#379—31no—
547#379—31no—
548C4×C4⋊C4—31no—
549C4×C4⋊C4—31no—
550C4×C4⋊C4—31no—
551C4×C4⋊C4—31no—
552C4×C4⋊C4—31no—
553C4×C22⋊C4—31no—
554C4×C22⋊C4—31no—
555C4×C22⋊C4—31no—
556C4×C22⋊C4—31no—
557C4×C22⋊C4—31no—
558#376—31no—
559C24×C3—22no—
560C24×C3—22no—
561C24×C3—22no—
562C24×C3—41no—
563C24×C3—41no—
564C24×C3—41no—
565C24×C3—41no—
566C24×C3C2411yescharacteristic
567C24×C3C2411yescharacteristic
568C24×C3C2411yescharacteristic
569C24×C3C2411yescharacteristic
570C23×D3—22no—
571C23×D3—22no—
572C23×D3—22no—
573C23×D3—41no—
574C23×D3—41no—
575C23×D3—41no—
576C23×D3—41no—
577C23×D3C2411yescharacteristic
578C23×D3C2411yescharacteristic
579C23×D3C2411yescharacteristic
580C2×C3×D4—22no—
581C2×C3×D4—22no—
582C2×C3×D4—22no—
583C2×C3×D4—41no—
584C2×C3×D4—41no—
585C2×C3×D4—41no—
586C2×C3×D4—41no—
587C2×C3×D4—41no—
588C2×C3×D4—41no—
589C22×C3×C4—22no—
590C22×C3×C4—22no—
591C22×C3×C4—22no—
592C22×C3×C4—41no—
593C22×C3×C4—41no—
594C22×C3×C4—41no—
595C22×C3×C4—41no—
596C22×C3×C4—41no—
597C22×C3×C4—41no—
598C22×C3×C4—41no—
599C22×C3×C4—41no—
600C22×C3×C4—41no—
601C22×C3×C4C2411yescharacteristic
602C22×C3×C4C2411yescharacteristic
603C22×C3×C4C2411yescharacteristic
604C22×C3×C4C2411yescharacteristic
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C22×C3×C4C2411yescharacteristic
610C22×C3×C4C2411yescharacteristic
611C22×C3×C4C2411yescharacteristic
612C2×#67—22no—
613C2×#67—22no—
614C2×#67—22no—
615C2×#67—22no—
616C2×#67—22no—
617C2×#67—22no—
618C2×#67—22no—
619C2×#67—22no—
620C2×#67—22no—
621C2×#67—22no—
622C2×#67—22no—
623C2×#67—22no—
624C2×#67—22no—
625C2×#67—22no—
626C2×#67—22no—
627C2×#67—22no—
628C2×#67—22no—
629C2×#67—22no—
630C2×#67—41no—
631C2×#67—41no—
632C2×#67—41no—
633C2×#67—41no—
634C2×#67—41no—
635C2×#67—41no—
636C2×#67—41no—
637C2×#67—41no—
638C2×#67—41no—
639C2×#67—41no—
640C2×#67—416no—
641C2×#67#4114yes—
642C2×#67#4114yes—
643C22×Dic3—22no—
644C22×Dic3—22no—
645C22×Dic3—22no—
646C22×Dic3—41no—
647C22×Dic3—41no—
648C22×Dic3—41no—
649C22×Dic3C2411yescharacteristic
650C22×Dic3C2411yescharacteristic
651C22×Dic3C2411yescharacteristic
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657C22×Dic3C2411yescharacteristic
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660C22×Dic3C2411yescharacteristic
661C22×Dic3C2411yescharacteristic
662C2×D12—22no—
663C2×D12—22no—
664C2×D12—41no—
665C2×D12—41no—
666C2×D12—41no—
667C2×D12—41no—
668C2×C4×D3—22no—
669C2×C4×D3—22no—
670C2×C4×D3—22no—
671C2×C4×D3—41no—
672C2×C4×D3—41no—
673C2×C4×D3—41no—
674C2×C4×D3—41no—
675C2×C4×D3—41no—
676C2×C4×D3—41no—
677C2×C4×D3—41no—
678C2×C4×D3—41no—
679C2×C4×D3—41no—
680C2×C4×D3—41no—
681C2×C4×D3—41no—
682C2×C4×D3—41no—
683C2×Dic6—41no—
684C2×Dic6—41no—
685C2×Dic6—41no—
686C2×Dic6—41no—
687C2×Dic6—41no—
688C2×Dic6—41no—
689C3×C4⋊C4—22no—
690C3×C4⋊C4—41no—
691C3×C4⋊C4—41no—
692C3×C4⋊C4—41no—
693C3×C22⋊C4—22no—
694C3×C22⋊C4—22no—
695C3×C22⋊C4—22no—
696C3×C22⋊C4—22no—
697C3×C22⋊C4—22no—
698C3×C22⋊C4—22no—
699C3×C22⋊C4—41no—
700C3×C22⋊C4—41no—
701C3×C22⋊C4—41no—
702C3×C22⋊C4—41no—
703C3×C22⋊C4—41no—
704C3×C22⋊C4—41no—
705C3×C22⋊C4—41no—
706C3×C22⋊C4—41no—
707C3×C22⋊C4—41no—
708#217—22no—
709#217—22no—
710#217—22no—
711#217—22no—
712#217—22no—
713#217—22no—
714#217—41no—
715#217—41no—
716#217—41no—
717#217—41no—
718#217—41no—
719#217—41no—
720#217—41no—
721#217—41no—
722#217—41no—
723#217—41no—
724#217—41no—
725#217—41no—
726#217—41no—
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—41no—
733(C2×D3)⋊C4—41no—
734(C2×D3)⋊C4—41no—
735(C2×D3)⋊C4—41no—
736(C2×D3)⋊C4—41no—
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)⋊C4—41no—
748(C2×D3)⋊C4—41no—
749(C2×D3)⋊C4—41no—
750(C2×D3)⋊C4—41no—
751C4⋊Dic3—22no—
752C4⋊Dic3—41no—
753C4⋊Dic3—41no—
754Dic3⋊C4—22no—
755Dic3⋊C4—22no—
756Dic3⋊C4—22no—
757Dic3⋊C4—22no—
758Dic3⋊C4—22no—
759Dic3⋊C4—22no—
760Dic3⋊C4—22no—
761Dic3⋊C4—22no—
762Dic3⋊C4—22no—
763Dic3⋊C4—41no—
764Dic3⋊C4—41no—
765Dic3⋊C4—41no—
766C4×Dic3—22no—
767C4×Dic3—22no—
768C4×Dic3—22no—
769C4×Dic3—22no—
770C4×Dic3—22no—
771C4×Dic3—22no—
772C4×Dic3—41no—
773C4×Dic3—41no—
774C4×Dic3—41no—
775C4×Dic3—41no—
776C25—31no—
777C25C22×D311yescharacteristic
778C22×Q8—31no—
779C22×Q8—31no—
780C22×D4—31no—
781C22×D4—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×D4—31no—
792C22×D4—64no—
793C22×D4—64no—
794C22×D4—122no—
795C22×D4C22×D311yescharacteristic
796C22×D4C22×D311yescharacteristic
797C22×D4C22×D311yescharacteristic
798C23×C4—31no—
799C23×C4—31no—
800C23×C4—31no—
801C23×C4—31no—
802C23×C4—31no—
803C23×C4—31no—
804C23×C4—31no—
805C23×C4C22×D311yescharacteristic
806C23×C4C22×D311yescharacteristic
807C23×C4C22×D311yescharacteristic
808C23×C4C22×D311yescharacteristic
809C4⋊Q8—122no—
810#127—64no—
811#127—64no—
812#124—122no—
813#124—122no—
814#123—42no—
815#123—122no—
816#123—122no—
817#123—122no—
818C22⋊Q8—122no—
819C22⋊Q8—122no—
820#121—122no—
821#120—42no—
822#120—122no—
823#120—122no—
824#120—122no—
825C4×D4—64no—
826C4×D4—64no—
827C4×D4—122no—
828C4×D4—122no—
829C4×D4—122no—
830C4×D4—122no—
831C4×D4—122no—
832C2×C4⋊C4—31no—
833C2×C4⋊C4—31no—
834C2×C4⋊C4—31no—
835C2×C4⋊C4—31no—
836C2×C4⋊C4—31no—
837C2×C4⋊C4—31no—
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⋊C4C22×D311yescharacteristic
848C2×C4⋊C4C22×D311yescharacteristic
849C2×C4⋊C4C22×D311yescharacteristic
850C2×C4⋊C4C22×D311yescharacteristic
851C2×C22⋊C4—31no—
852C2×C22⋊C4—31no—
853C2×C22⋊C4—31no—
854C2×C22⋊C4—31no—
855C2×C22⋊C4—31no—
856C2×C22⋊C4—31no—
857C2×C22⋊C4—31no—
858C2×C22⋊C4—31no—
859C2×C22⋊C4—31no—
860C2×C22⋊C4—31no—
861C2×C22⋊C4—31no—
862C2×C22⋊C4—31no—
863C2×C22⋊C4—31no—
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—42no—
895C2×C22⋊C4—42no—
896C2×C22⋊C4—122no—
897C2×C22⋊C4—122no—
898C2×C22⋊C4C22×D311yescharacteristic
899C2×C22⋊C4C22×D311yescharacteristic
900C2×C22⋊C4C22×D311yescharacteristic
901C2×C22⋊C4C22×D311yescharacteristic
902C2×C22⋊C4C22×D311yescharacteristic
903C2×C22⋊C4C22×D311yescharacteristic
904C2×C22⋊C4C22×D311yescharacteristic
905C2×C22⋊C4C22×D311yescharacteristic
906C2×C22⋊C4C22×D311yescharacteristic
907C2×C22⋊C4C22×D311yescharacteristic
908C2×C22⋊C4C22×D311yescharacteristic
909C2×C22⋊C4C22×D311yescharacteristic
910C2×C22⋊C4C22×D311yescharacteristic
911C2×C22⋊C4C22×D311yescharacteristic
912C2×C22⋊C4C22×D311yescharacteristic
913C2×C42—31no—
914C2×C42—31no—
915C2×C42—31no—
916C2×C42—31no—
917C2×C42—31no—
918C2×C42—31no—
919C2×C42—31no—
920C2×C42—31no—
921C2×C42—31no—
922C2×C42—31no—
923#95—31no—
924#95—31no—
925#95—31no—
926#95—31no—
927#95—31no—
928#95—31no—
929#95—31no—
930#95—31no—
931#95—31no—
932#95—31no—
933#95—31no—
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#95C22×D311yescharacteristic
954#95C22×D311yescharacteristic
955#95C22×D311yescharacteristic
956#95C22×D311yescharacteristic
957#95C22×D311yescharacteristic
958#95C22×D311yescharacteristic
959#95C22×D311yescharacteristic
960#95C22×D311yescharacteristic
961C23×C3—21no—
962C23×C3—21no—
963C23×C3—21no—
964C23×C3—21no—
965C23×C3—21no—
966C23×C3—21no—
967C23×C3—21no—
968C23×C3—21no—
969C23×C3—21no—
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—44no—
987C23×C3—44no—
988C23×C3—44no—
989C23×C3—82no—
990C23×C3—82no—
991C23×C3—82no—
992C23×C3—82no—
993C23×C3C2×#4112yes—
994C23×C3C2×#4112yes—
995C23×C3H(5,𝔽2)12yes—
996C23×C3C2511yescharacteristic
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—21no—
1013C22×D3—21no—
1014C22×D3—21no—
1015C22×D3—21no—
1016C22×D3—44no—
1017C22×D3—44no—
1018C22×D3—44no—
1019C22×D3—82no—
1020C22×D3—82no—
1021C22×D3—82no—
1022C22×D3—82no—
1023C22×D3C2×#4112yes—
1024C22×D3C2×#4112yes—
1025C3×D4—82no—
1026C3×D4—82no—
1027C3×D4—82no—
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—21no—
1055C2×C3×C4—21no—
1056C2×C3×C4—21no—
1057C2×C3×C4—21no—
1058C2×C3×C4—21no—
1059C2×C3×C4—21no—
1060C2×C3×C4—82no—
1061C2×C3×C4—82no—
1062C2×C3×C4—82no—
1063C2×C3×C4—82no—
1064C2×C3×C4H(5,𝔽2)12yes—
1065#67—28no—
1066#67—28no—
1067#67—44no—
1068#67—44no—
1069#67—44no—
1070#67—44no—
1071#67—44no—
1072#67—82no—
1073#67—82no—
1074#67—82no—
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—21no—
1108C2×Dic3—21no—
1109C2×Dic3—21no—
1110C2×Dic3—44no—
1111C2×Dic3—82no—
1112C2×Dic3C2×#4112yes—
1113C2×Dic3C2×#4112yes—
1114C2×Dic3H(5,𝔽2)12yes—
1115C2×Dic3H(5,𝔽2)12yes—
1116D12—82no—
1117D12—82no—
1118C4×D3—82no—
1119C4×D3—82no—
1120C4×D3—82no—
1121C4×D3—82no—
1122C4×D3—82no—
1123Dic6—82no—
1124Dic6—82no—
1125C24—22no—
1126C24—22no—
1127C24—22no—
1128C24—31no—
1129C24—31no—
1130C24—31no—
1131C24—41no—
1132C24—41no—
1133C24—41no—
1134C24—41no—
1135C24—62no—
1136C24—62no—
1137C24—62no—
1138C24—121no—
1139C24—121no—
1140C24—121no—
1141C24—121no—
1142C24C23×D311yescharacteristic
1143C24C23×D311yescharacteristic
1144C24C23×D311yescharacteristic
1145C24C23×D311yescharacteristic
1146C2×Q8—121no—
1147C2×Q8—121no—
1148C2×Q8—121no—
1149C2×Q8—121no—
1150C2×Q8—121no—
1151C2×Q8—121no—
1152C2×D4—22no—
1153C2×D4—22no—
1154C2×D4—22no—
1155C2×D4—34no—
1156C2×D4—34no—
1157C2×D4—41no—
1158C2×D4—41no—
1159C2×D4—41no—
1160C2×D4—41no—
1161C2×D4—41no—
1162C2×D4—41no—
1163C2×D4—62no—
1164C2×D4—62no—
1165C2×D4—62no—
1166C2×D4—62no—
1167C2×D4—62no—
1168C2×D4—62no—
1169C2×D4—62no—
1170C2×D4—62no—
1171C2×D4—62no—
1172C2×D4—62no—
1173C2×D4—62no—
1174C2×D4—62no—
1175C2×D4—62no—
1176C2×D4—62no—
1177C2×D4—62no—
1178C2×D4—62no—
1179C2×D4—62no—
1180C2×D4—62no—
1181C2×D4—62no—
1182C2×D4—62no—
1183C2×D4—121no—
1184C2×D4—121no—
1185C2×D4—121no—
1186C2×D4—121no—
1187C2×D4—121no—
1188C2×D4—121no—
1189C2×D4—121no—
1190C2×D4—121no—
1191C2×D4—121no—
1192C2×D4—121no—
1193C2×D4—121no—
1194C2×D4—121no—
1195C2×D4—121no—
1196C2×D4—121no—
1197C2×D4—1216no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—31no—
1202C22×C4—31no—
1203C22×C4—31no—
1204C22×C4—31no—
1205C22×C4—31no—
1206C22×C4—31no—
1207C22×C4—31no—
1208C22×C4—31no—
1209C22×C4—31no—
1210C22×C4—31no—
1211C22×C4—31no—
1212C22×C4—31no—
1213C22×C4—31no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—62no—
1224C22×C4—62no—
1225C22×C4—62no—
1226C22×C4—62no—
1227C22×C4—62no—
1228C22×C4—62no—
1229C22×C4—121no—
1230C22×C4—121no—
1231C22×C4—121no—
1232C22×C4—121no—
1233C22×C4—121no—
1234C22×C4—121no—
1235C22×C4—121no—
1236C22×C4—121no—
1237C22×C4—121no—
1238C22×C4—121no—
1239C22×C4—121no—
1240C22×C4—121no—
1241C22×C4—121no—
1242C22×C4—121no—
1243C22×C4—121no—
1244C22×C4C23×D311yescharacteristic
1245C22×C4C23×D311yescharacteristic
1246C22×C4C23×D311yescharacteristic
1247C22×C4C23×D311yescharacteristic
1248C22×C4C23×D311yescharacteristic
1249C22×C4C23×D311yescharacteristic
1250C22×C4C23×D311yescharacteristic
1251C22×C4C23×D311yescharacteristic
1252C22×C4C23×D311yescharacteristic
1253C22×C4C23×D311yescharacteristic
1254C22×C4C23×D311yescharacteristic
1255C4⋊C4—22no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—62no—
1260C4⋊C4—62no—
1261C4⋊C4—62no—
1262C4⋊C4—62no—
1263C4⋊C4—62no—
1264C4⋊C4—62no—
1265C4⋊C4—62no—
1266C4⋊C4—62no—
1267C4⋊C4—62no—
1268C4⋊C4—62no—
1269C4⋊C4—121no—
1270C4⋊C4—121no—
1271C4⋊C4—121no—
1272C4⋊C4—121no—
1273C4⋊C4—121no—
1274C22⋊C4—22no—
1275C22⋊C4—22no—
1276C22⋊C4—22no—
1277C22⋊C4—22no—
1278C22⋊C4—22no—
1279C22⋊C4—22no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—62no—
1290C22⋊C4—62no—
1291C22⋊C4—62no—
1292C22⋊C4—62no—
1293C22⋊C4—62no—
1294C22⋊C4—62no—
1295C22⋊C4—62no—
1296C22⋊C4—62no—
1297C22⋊C4—62no—
1298C22⋊C4—62no—
1299C22⋊C4—62no—
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—121no—
1313C22⋊C4—121no—
1314C22⋊C4—121no—
1315C22⋊C4—121no—
1316C22⋊C4—121no—
1317C22⋊C4—121no—
1318C22⋊C4—121no—
1319C22⋊C4—121no—
1320C22⋊C4—121no—
1321C22⋊C4—121no—
1322C22⋊C4—121no—
1323C22⋊C4—121no—
1324C22⋊C4—121no—
1325C22⋊C4—121no—
1326C22⋊C4—121no—
1327C22⋊C4—121no—
1328C22⋊C4—121no—
1329C22⋊C4—121no—
1330C22⋊C4—121no—
1331C22⋊C4—121no—
1332C42—62no—
1333C42—62no—
1334C42—62no—
1335C42—62no—
1336C42—62no—
1337C42—62no—
1338C42—121no—
1339C42—121no—
1340C42—121no—
1341C42—121no—
1342C22×C3—22no—
1343C22×C3—22no—
1344C22×C3—22no—
1345C22×C3—22no—
1346C22×C3—22no—
1347C22×C3—22no—
1348C22×C3—22no—
1349C22×C3—22no—
1350C22×C3—22no—
1351C22×C3—41no—
1352C22×C3—41no—
1353C22×C3—41no—
1354C22×C3—41no—
1355C22×C3—41no—
1356C22×C3—41no—
1357C22×C3—41no—
1358C22×C3—41no—
1359C22×C3—41no—
1360C22×C3—41no—
1361C22×C3—41no—
1362C22×C3—41no—
1363C22×C3—41no—
1364C22×C3—41no—
1365C22×C3—41no—
1366C22×C3—41no—
1367C22×C3—41no—
1368C22×C3—41no—
1369C22×C3—41no—
1370C22×C3—88no—
1371C22×C3C22×#4111yescharacteristic
1372C22×C3C22×#4111yescharacteristic
1373C22×C3C2×H(5,𝔽2)11yescharacteristic
1374C22×C3C2×H(5,𝔽2)11yescharacteristic
1375C22×C3C2×H(5,𝔽2)11yescharacteristic
1376C22×C3C2×H(5,𝔽2)11yescharacteristic
1377C22×C3#58511yescharacteristic
1378C2×D3—22no—
1379C2×D3—22no—
1380C2×D3—22no—
1381C2×D3—22no—
1382C2×D3—22no—
1383C2×D3—22no—
1384C2×D3—41no—
1385C2×D3—41no—
1386C2×D3—41no—
1387C2×D3—41no—
1388C2×D3—41no—
1389C2×D3—41no—
1390C2×D3—41no—
1391C2×D3—41no—
1392C2×D3—41no—
1393C2×D3—41no—
1394C2×D3—41no—
1395C2×D3—41no—
1396C2×D3—41no—
1397C2×D3—41no—
1398C2×D3—41no—
1399C2×D3—88no—
1400C3×C4—22no—
1401C3×C4—41no—
1402C3×C4—41no—
1403C3×C4—41no—
1404C3×C4—41no—
1405C3×C4—41no—
1406C3×C4—41no—
1407C3×C4—41no—
1408C3×C4—41no—
1409C3×C4—41no—
1410C3×C4—41no—
1411Dic3—22no—
1412Dic3—41no—
1413Dic3—41no—
1414Dic3—41no—
1415Dic3—41no—
1416Dic3—41no—
1417Dic3—41no—
1418Dic3—41no—
1419Dic3—41no—
1420Dic3—41no—
1421Dic3—41no—
1422Dic3—41no—
1423Dic3#55114yes—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—32no—
1450C23—32no—
1451C23—44no—
1452C23—44no—
1453C23—44no—
1454C23—61no—
1455C23—61no—
1456C23—61no—
1457C23—61no—
1458C23—61no—
1459C23—61no—
1460C23—61no—
1461C23—61no—
1462C23—61no—
1463C23—61no—
1464C23—61no—
1465C23—61no—
1466C23—61no—
1467C23—61no—
1468C23—61no—
1469C23—61no—
1470C23—61no—
1471C23—61no—
1472C23—61no—
1473C23—82no—
1474C23—82no—
1475C23—82no—
1476C23—82no—
1477C23—124no—
1478C23—124no—
1479C23—124no—
1480C23—242no—
1481C23—242no—
1482C23—242no—
1483C23—242no—
1484C23#100412yes—
1485C23D3×#4112yes—
1486C23D3×#4112yes—
1487C23C24×D311yescharacteristic
1488Q8—242no—
1489Q8—242no—
1490D4—68no—
1491D4—68no—
1492D4—82no—
1493D4—82no—
1494D4—82no—
1495D4—124no—
1496D4—124no—
1497D4—124no—
1498D4—124no—
1499D4—124no—
1500D4—242no—
1501D4—242no—
1502D4—242no—
1503D4—242no—
1504D4—242no—
1505C2×C4—21no—
1506C2×C4—21no—
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—32no—
1538C2×C4—32no—
1539C2×C4—32no—
1540C2×C4—32no—
1541C2×C4—61no—
1542C2×C4—61no—
1543C2×C4—61no—
1544C2×C4—61no—
1545C2×C4—61no—
1546C2×C4—61no—
1547C2×C4—61no—
1548C2×C4—61no—
1549C2×C4—61no—
1550C2×C4—61no—
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—82no—
1577C2×C4—82no—
1578C2×C4—82no—
1579C2×C4—82no—
1580C2×C4—124no—
1581C2×C4—242no—
1582C2×C4—242no—
1583C2×C4—242no—
1584C2×C4—242no—
1585C2×C4—242no—
1586C2×C4—242no—
1587C2×C4#100412yes—
1588C2×C3—42no—
1589C2×C3—42no—
1590C2×C3—42no—
1591C2×C3—81no—
1592C2×C3C2×#55111yescharacteristic
1593C2×C3#351311yescharacteristic
1594C2×C3#351411yescharacteristic
1595C2×C3#351911yescharacteristic
1596C2×C3#351911yescharacteristic
1597C2×C3#354311yescharacteristic
1598C2×C3#355811yescharacteristic
1599D3—42no—
1600D3—42no—
1601D3—81no—
1602C22—22no—
1603C22—22no—
1604C22—22no—
1605C22—22no—
1606C22—22no—
1607C22—22no—
1608C22—22no—
1609C22—22no—
1610C22—22no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—62no—
1631C22—62no—
1632C22—62no—
1633C22—62no—
1634C22—62no—
1635C22—62no—
1636C22—88no—
1637C22—121no—
1638C22—121no—
1639C22—121no—
1640C22—121no—
1641C22—121no—
1642C22—121no—
1643C22—121no—
1644C22—121no—
1645C22—121no—
1646C22—121no—
1647C22—121no—
1648C22—121no—
1649C22—121no—
1650C22—121no—
1651C22—121no—
1652C22—248no—
1653C22C2×#100411yescharacteristic
1654C22C2×#100411yescharacteristic
1655C22C2×D3×#4111yescharacteristic
1656C22C2×D3×#4111yescharacteristic
1657C22#596411yescharacteristic
1658C22D3×H(5,𝔽2)11yescharacteristic
1659C22D3×H(5,𝔽2)11yescharacteristic
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—62no—
1673C4—121no—
1674C4—121no—
1675C4—121no—
1676C4—121no—
1677C4—121no—
1678C4—121no—
1679C4—121no—
1680C4—121no—
1681C4—121no—
1682C4—121no—
1683C4—121no—
1684C3#4501311yescharacteristic, complemented, Sylow
1685C2—42no—
1686C2—42no—
1687C2—42no—
1688C2—81no—
1689C2—122no—
1690C2—122no—
1691C2—241no—
1692C2#8595111yescharacteristic
1693C2#8601311yescharacteristic
1694C2#8630311yescharacteristic
1695C2#8664011yescharacteristic
1696C2#8665511yescharacteristic
1697C2#8679711yescharacteristic
1698C2D3×#55111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2412C2
prime radical#82588C2
hypercenter#2412D3
hypocenterC3#45013
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2412

Complements

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

NH ≅ G/Ntype
1. C3×#2412C2semidirect
2. #82850C2semidirect
3. #82849C2semidirect
4. #82598C2semidirect
6. #82129C2semidirect
7. C22⋊C4×#67C2semidirect
8. C22⋊C4×#67C2semidirect
9. #82111C2semidirect
10. #77691C2semidirect
11. #77668C2semidirect
12. #77488C2semidirect
13. #77461C2semidirect
14. #77119C2semidirect
15. #76935C2semidirect
16. #76926C2semidirect
17. #76899C2semidirect
18. #74932C2semidirect
19. #74851C2semidirect
20. #74808C2semidirect
21. #74708C2semidirect
22. #74679C2semidirect
23. #74667C2semidirect
24. #74649C2semidirect
25. #74425C2semidirect
26. #74143C2semidirect
27. #74061C2semidirect
28. #73964C2semidirect
29. #73942C2semidirect
30. #73904C2semidirect
31. #73870C2semidirect
34. C2×C3×#123C22semidirect
44. C2×#929C22semidirect
49. C2×C4×#67C22semidirect
50. C2×#924C22semidirect
51. C2×#896C22semidirect
52. C2×#894C22semidirect
53. C2×#888C22semidirect
55. C2×#883C22semidirect
57. C2×#67⋊C4C22semidirect
58. C2×#67⋊C4C22semidirect
65. C3×#386C22semidirect
66. C3×#386C22semidirect
67. C3×#386C22semidirect
68. C3×#385C22semidirect
69. C3×#381C22semidirect
70. C3×#380C22semidirect
71. C3×#380C22semidirect
76. #5222C22semidirect
77. #5222C22semidirect
79. #5220C22semidirect
80. #5220C22semidirect
85. #5213C22semidirect
86. #5213C22semidirect
87. #5212C22semidirect
88. #5211C22semidirect
89. C4×#217C22semidirect
90. #4994C22semidirect
91. #4992C22semidirect
92. #4991C22semidirect
93. #4990C22semidirect
94. #4990C22semidirect
95. #4990C22semidirect
96. #4987C22semidirect
97. #4987C22semidirect
98. #4985C22semidirect
99. #4978C22semidirect
100. #4976C22semidirect
101. #4976C22semidirect
102. Dic3×C4⋊C4C22semidirect
104. #4961C22semidirect
105. #4961C22semidirect
106. #4961C22semidirect
110. #4959C22semidirect
111. #4958C22semidirect
118. #4957C22semidirect
119. #4957C22semidirect
120. #4957C22semidirect
121. #4957C22semidirect
122. #4957C22semidirect
128. #4956C22semidirect
129. #4956C22semidirect
130. #4956C22semidirect
136. #4952C22semidirect
138. #4951C22semidirect
140. #4948C22semidirect
141. #4947C22semidirect
142. #4947C22semidirect
143. #4947C22semidirect
144. #4947C22semidirect
146. #4944C22semidirect
147. #4944C22semidirect
148. #4944C22semidirect
149. #4944C22semidirect
150. #4943C22semidirect
156. #4673C22semidirect
157. #4673C22semidirect
158. #4673C22semidirect
159. #4673C22semidirect
160. #4672C22semidirect
161. #4669C22semidirect
162. #4669C22semidirect
163. #4668C22semidirect
164. #4667C22semidirect
165. #4666C22semidirect
166. #4665C22semidirect
167. #4665C22semidirect
168. #4665C22semidirect
169. #4665C22semidirect
170. #4665C22semidirect
171. #4664C22semidirect
172. #4664C22semidirect
173. #4664C22semidirect
174. C3⋊#401C22semidirect
175. C3⋊#401C22semidirect
176. C3⋊#401C22semidirect
177. #4660C22semidirect
178. #4658C22semidirect
179. #4654C22semidirect
180. #4650C22semidirect
181. #4650C22semidirect
182. #4649C22semidirect
183. #4649C22semidirect
184. #4649C22semidirect
185. #4649C22semidirect
186. #4648C22semidirect
187. #4647C22semidirect
211. #2412D3semidirect
413. C2×#123C2×D3semidirect
523. #386C2×D3semidirect
524. #386C2×D3semidirect
525. #386C2×D3semidirect
527. #385C2×D3semidirect
535. #381C2×D3semidirect
542. #380C2×D3semidirect
543. #380C2×D3semidirect
1684. C3#45013semidirect

Maximal subgroups

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

subgroupindex
C3×#24122
#828502
#828492
#825982
#825882
#821292
C22⋊C4×#672
#821112
#776912
#776682
#774882
#774612
#771192
#769352
#769262
#768992
#749322
#748512
#748082
#747082
#746792
#746672
#746492
#744252
#741432
#740612
#739642
#739422
#739042
#738702
#450133