Finite Group Databasebeta

← #11226259

Subgroups — #11226259

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×#2472C211yesmaximal, characteristic, complemented
2#83005C211yesmaximal, characteristic, complemented
3#82967C211yesmaximal, characteristic, complemented
4#82798C211yesmaximal, characteristic, complemented
5#82766C211yesmaximal, characteristic, complemented
6#82590C211yesmaximal, characteristic, complemented
7#82588C211yesmaximal, characteristic
8C22⋊C4×#67C211yesmaximal, characteristic, complemented
9#82107C211yesmaximal, characteristic, complemented
10#77474C211yesmaximal, characteristic, complemented
11#77461C211yesmaximal, characteristic, complemented
12#77110C211yesmaximal, characteristic, complemented
13#76909C211yesmaximal, characteristic, complemented
14#76907C211yesmaximal, characteristic, complemented
15#76899C211yesmaximal, characteristic, complemented
16#76842C211yesmaximal, characteristic, complemented
17#76799C211yesmaximal, characteristic, complemented
18#76384C211yesmaximal, characteristic, complemented
19#76306C211yesmaximal, characteristic, complemented
20#75881C211yesmaximal, characteristic, complemented
21#75769C211yesmaximal, characteristic, complemented
22#75548C211yesmaximal, characteristic, complemented
23#75458C211yesmaximal, characteristic, complemented
24#74855C211yesmaximal, characteristic, complemented
25#74851C211yesmaximal, characteristic, complemented
26#74708C211yesmaximal, characteristic, complemented
27#74667C211yesmaximal, characteristic, complemented
28#73859C211yesmaximal, characteristic, complemented
29#73850C211yesmaximal, characteristic, complemented
30#73589C211yesmaximal, characteristic, complemented
31#73463C211yesmaximal, characteristic, complemented
32#45013—31nomaximal, Sylow
33C23×#67C2211yescharacteristic
34C2×C3×#124C2211yescharacteristic
35C2×C3×C22⋊Q8C2211yescharacteristic, complemented
36C2×C3×#120C2211yescharacteristic
37C22×C3×C22⋊C4C2211yescharacteristic
38C2×#953C2211yescharacteristic
39C22×#217C2211yescharacteristic
40C2×#944C2211yescharacteristic, complemented
41C2×#940C2211yescharacteristic
42C2×#940C2211yescharacteristic
43C2×#939C2211yescharacteristic
44C2×#937C2211yescharacteristic
45C2×#935C2211yescharacteristic, complemented
46C2×D4×Dic3C2211yescharacteristic, complemented
47C2×#929C2211yescharacteristic, complemented
48C2×C4×#67C2211yescharacteristic
49C2×C4×#67C2211yescharacteristic
50C2×#896C2211yescharacteristic, complemented
51C2×#894C2211yescharacteristic, complemented
52C2×#885C2211yescharacteristic
53C2×#883C2211yescharacteristic, complemented
54C2×#882C2211yescharacteristic
55C2×#67⋊C4C2211yescharacteristic
56C2×#67⋊C4C2211yescharacteristic
57C2×#67⋊C4C2211yescharacteristic, complemented
58C2×D3×C22⋊C4C2211yescharacteristic
59C2×D3×C22⋊C4C2211yescharacteristic
60C2×C4×D12C2211yescharacteristic, complemented
61C3×#397C2211yescharacteristic
62C3×#394C2211yescharacteristic
63C3×#394C2211yescharacteristic, complemented
64C3×#393C2211yescharacteristic, complemented
65C3×#390C2211yescharacteristic, complemented
66C3×#388C2211yescharacteristic
67C3×#388C2211yescharacteristic, complemented
68C3×#386C2211yescharacteristic, complemented
69C3×#386C2211yescharacteristic, complemented
70C3×#379C2211yescharacteristic
71C3×C4×C22⋊C4C2211yescharacteristic, complemented
72#5247C2211yescharacteristic
73#5231C2211yescharacteristic, complemented
74#5231C2211yescharacteristic, complemented
75#5231C2211yescharacteristic, complemented
76#5223C2211yescharacteristic
77#5223C2211yescharacteristic
78#5222C2211yescharacteristic
79#5222C2211yescharacteristic, complemented
80#5220C2211yescharacteristic
81#5220C2211yescharacteristic, complemented
82#5213C2211yescharacteristic
83#5213C2211yescharacteristic
84#5213C2211yescharacteristic, complemented
85#5211C2211yescharacteristic, complemented
86#5210C2211yescharacteristic, complemented
87#4994C2211yescharacteristic, complemented
88#4992C2211yescharacteristic, complemented
89#4989C2211yescharacteristic, complemented
90#4988C2211yescharacteristic, complemented
91#4987C2211yescharacteristic, complemented
92#4985C2211yescharacteristic, complemented
93#4980C2211yescharacteristic, complemented
94#4976C2211yescharacteristic, complemented
95#4976C2211yescharacteristic, complemented
96Dic3×C4⋊C4C2211yescharacteristic, complemented
97#4961C2211yescharacteristic, complemented
98#4960C2211yescharacteristic
99#4960C2211yescharacteristic
100#4959C2211yescharacteristic
101#4959C2211yescharacteristic
102#4959C2211yescharacteristic, complemented
103#4959C2211yescharacteristic, complemented
104#4959C2211yescharacteristic, complemented
105#4958C2211yescharacteristic
106#4958C2211yescharacteristic
107#4958C2211yescharacteristic, complemented
108#4958C2211yescharacteristic, complemented
109#4958C2211yescharacteristic, complemented
110#4958C2211yescharacteristic, complemented
111#4957C2211yescharacteristic
112#4957C2211yescharacteristic
113#4957C2211yescharacteristic
114#4957C2211yescharacteristic
115#4957C2211yescharacteristic
116#4957C2211yescharacteristic
117#4957C2211yescharacteristic, complemented
118#4957C2211yescharacteristic, complemented
119#4957C2211yescharacteristic, complemented
120#4956C2211yescharacteristic
121#4956C2211yescharacteristic
122#4956C2211yescharacteristic
123#4956C2211yescharacteristic
124#4956C2211yescharacteristic
125#4956C2211yescharacteristic, complemented
126#4956C2211yescharacteristic, complemented
127#4956C2211yescharacteristic, complemented
128#4956C2211yescharacteristic, complemented
129#4956C2211yescharacteristic, complemented
130#4955C2211yescharacteristic
131#4955C2211yescharacteristic
132#4953C2211yescharacteristic
133#4952C2211yescharacteristic
134#4952C2211yescharacteristic
135#4952C2211yescharacteristic
136#4952C2211yescharacteristic, complemented
137#4951C2211yescharacteristic, complemented
138#4948C2211yescharacteristic
139#4948C2211yescharacteristic, complemented
140#4947C2211yescharacteristic, complemented
141#4947C2211yescharacteristic, complemented
142#4947C2211yescharacteristic, complemented
143#4945C2211yescharacteristic
144#4945C2211yescharacteristic, complemented
145#4945C2211yescharacteristic, complemented
146#4944C2211yescharacteristic, complemented
147#4943C2211yescharacteristic, complemented
148#4943C2211yescharacteristic, complemented
149#4942C2211yescharacteristic
150#4942C2211yescharacteristic
151#4942C2211yescharacteristic, complemented
152#4942C2211yescharacteristic, complemented
153#4942C2211yescharacteristic, complemented
154Dic3×C22⋊C4C2211yescharacteristic
155Dic3×C22⋊C4C2211yescharacteristic
156Dic3×C22⋊C4C2211yescharacteristic
157#4940C2211yescharacteristic, complemented
158#4940C2211yescharacteristic, complemented
159#4940C2211yescharacteristic, complemented
160#4940C2211yescharacteristic, complemented
161#4933C2211yescharacteristic, complemented
162C4×Dic3⋊C4C2211yescharacteristic, complemented
163C4×Dic3⋊C4C2211yescharacteristic, complemented
164#4673C2211yescharacteristic, complemented
165#4672C2211yescharacteristic, complemented
166#4672C2211yescharacteristic, complemented
167#4669C2211yescharacteristic, complemented
168#4667C2211yescharacteristic, complemented
169#4667C2211yescharacteristic, complemented
170#4666C2211yescharacteristic, complemented
171#4665C2211yescharacteristic, complemented
172#4665C2211yescharacteristic, complemented
173#4665C2211yescharacteristic, complemented
174#4664C2211yescharacteristic, complemented
175#4664C2211yescharacteristic, complemented
176#4664C2211yescharacteristic, complemented
177C3⋊#401C2211yescharacteristic, complemented
178C3⋊#401C2211yescharacteristic, complemented
179C3⋊#401C2211yescharacteristic, complemented
180#4660C2211yescharacteristic, complemented
181#4658C2211yescharacteristic, complemented
182#4650C2211yescharacteristic, complemented
183#4650C2211yescharacteristic, 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#2472D311yescharacteristic, complemented
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#2412—31no—
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×Q8C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C22×#67—24no—
228C22×#67—24no—
229C22×#67—42no—
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C23×Dic3C2311yescharacteristic
242C23×Dic3C2311yescharacteristic
243C23×Dic3C2311yescharacteristic
244C22×D12C2311yescharacteristic
245C22×D12C2311yescharacteristic
246C22×C4×D3C2311yescharacteristic
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×Dic6C2311yescharacteristic
252C3×#124—42no—
253C3×C22⋊Q8—42no—
254C3×#120—42no—
255C2×C3×C4⋊C4C2311yescharacteristic
256C2×C3×C4⋊C4C2311yescharacteristic
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C22⋊C4—42no—
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×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C42C2311yescharacteristic
277C2×C3×C42C2311yescharacteristic
278#953—42no—
279C2×#217—42no—
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
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297#944—42no—
298#940—24no—
299#940—24no—
300#939—42no—
301#937—42no—
302#935—42no—
303D4×Dic3—42no—
304#929—42no—
305C4×#67—24no—
306C4×#67—42no—
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×C4⋊Dic3C2311yescharacteristic
332C2×C4⋊Dic3C2311yescharacteristic
333C2×Dic3⋊C4C2311yescharacteristic
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×C4×Dic3C2311yescharacteristic
348C2×C4×Dic3C2311yescharacteristic
349C2×C4×Dic3C2311yescharacteristic
350C2×C4×Dic3C2311yescharacteristic
351C2×C4×Dic3C2311yescharacteristic
352C2×C4×Dic3C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355#896—42no—
356#894—42no—
357#885—42no—
358#883—42no—
359#882—42no—
360#67⋊C4—24no—
361#67⋊C4—42no—
362#67⋊C4—42no—
363D3×C22⋊C4—42no—
364D3×C22⋊C4—42no—
365C4×D12—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×#124C2×D311yescharacteristic
410C2×#123—31no—
411C2×#123—31no—
412C2×#123—31no—
413C2×#123—31no—
414C2×C22⋊Q8—31no—
415C2×C22⋊Q8C2×D311yescharacteristic, complemented
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⋊C4—31no—
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#397—31no—
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, complemented
460#393—31no—
461#393—31no—
462#393—31no—
463#393—31no—
464#393—31no—
465#393—31no—
466#393—31no—
467#393C2×D311yescharacteristic, complemented
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#390C2×D311yescharacteristic, complemented
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#388C2×D311yescharacteristic
497#388C2×D311yescharacteristic, complemented
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#386—31no—
524#386C2×D311yescharacteristic, complemented
525#386C2×D311yescharacteristic, complemented
526#385—31no—
527#385—31no—
528#382—31no—
529#382—31no—
530#381—31no—
531#381—31no—
532#381—31no—
533#381—31no—
534#381—31no—
535#381—31no—
536#380—31no—
537#380—31no—
538#380—31no—
539#380—31no—
540#380—31no—
541#380—31no—
542#380—31no—
543#380—31no—
544#379—31no—
545#379—31no—
546#379—31no—
547#379C2×D311yescharacteristic
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⋊C4C2×D311yescharacteristic, complemented
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×Q8—41no—
581C2×C3×Q8—41no—
582C2×C3×Q8—41no—
583C2×C3×D4—22no—
584C2×C3×D4—22no—
585C2×C3×D4—22no—
586C2×C3×D4—22no—
587C2×C3×D4—41no—
588C2×C3×D4—41no—
589C2×C3×D4—41no—
590C2×C3×D4—41no—
591C2×C3×D4—41no—
592C22×C3×C4—22no—
593C22×C3×C4—41no—
594C22×C3×C4—41no—
595C22×C3×C4—41no—
596C22×C3×C4—41no—
597C22×C3×C4—41no—
598C22×C3×C4C2411yescharacteristic
599C22×C3×C4C2411yescharacteristic
600C22×C3×C4C2411yescharacteristic
601C22×C3×C4C2411yescharacteristic
602C22×C3×C4C2411yescharacteristic
603C22×C3×C4C2411yescharacteristic
604C22×C3×C4C2411yescharacteristic
605C22×C3×C4C2411yescharacteristic
606C22×C3×C4C2411yescharacteristic
607C22×C3×C4C2411yescharacteristic
608C22×C3×C4C2411yescharacteristic
609C2×#67—22no—
610C2×#67—22no—
611C2×#67—22no—
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—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—416no—
638C2×#67#4114yes—
639C2×#67#4114yes—
640C22×Dic3—22no—
641C22×Dic3—22no—
642C22×Dic3—22no—
643C22×Dic3—22no—
644C22×Dic3—22no—
645C22×Dic3—41no—
646C22×Dic3—41no—
647C22×Dic3—41no—
648C22×Dic3—41no—
649C22×Dic3—41no—
650C22×Dic3—41no—
651C22×Dic3—41no—
652C22×Dic3C2411yescharacteristic
653C22×Dic3C2411yescharacteristic
654C22×Dic3C2411yescharacteristic
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657C22×Dic3C2411yescharacteristic
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660C22×Dic3C2411yescharacteristic
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2411yescharacteristic
664C22×Dic3C2411yescharacteristic
665C2×D12—22no—
666C2×D12—22no—
667C2×D12—22no—
668C2×D12—41no—
669C2×D12—41no—
670C2×D12—41no—
671C2×C4×D3—22no—
672C2×C4×D3—22no—
673C2×C4×D3—22no—
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×C4×D3—41no—
684C2×C4×D3—41no—
685C2×C4×D3—41no—
686C2×Dic6—41no—
687C2×Dic6—41no—
688C2×Dic6—41no—
689C3×C4⋊C4—22no—
690C3×C4⋊C4—22no—
691C3×C4⋊C4—41no—
692C3×C22⋊C4—22no—
693C3×C22⋊C4—22no—
694C3×C22⋊C4—22no—
695C3×C22⋊C4—22no—
696C3×C22⋊C4—22no—
697C3×C22⋊C4—22no—
698C3×C22⋊C4—41no—
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—
708C3×C22⋊C4—41no—
709C3×C42—41no—
710C3×C42—41no—
711#217—22no—
712#217—22no—
713#217—22no—
714#217—22no—
715#217—22no—
716#217—22no—
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#217—41no—
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—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—
751(C2×D3)⋊C4—41no—
752C4⋊Dic3—22no—
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—41no—
763Dic3⋊C4—41no—
764Dic3⋊C4—41no—
765Dic3⋊C4—41no—
766Dic3⋊C4—41no—
767Dic3⋊C4—41no—
768C4×Dic3—22no—
769C4×Dic3—22no—
770C4×Dic3—22no—
771C4×Dic3—22no—
772C4×Dic3—22no—
773C4×Dic3—22no—
774C4×Dic3—41no—
775C4×Dic3—41no—
776C25—31no—
777C25C22×D311yescharacteristic
778C22×Q8—31no—
779C22×Q8C22×D311yescharacteristic
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×C4—31no—
806C23×C4—31no—
807C23×C4C22×D311yescharacteristic
808C23×C4C22×D311yescharacteristic
809C4⋊Q8—122no—
810#127—64no—
811#127—64no—
812#124—42no—
813#124—122no—
814#123—122no—
815#123—122no—
816#123—122no—
817#123—122no—
818C22⋊Q8—42no—
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⋊C4—31no—
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—42no—
893C2×C22⋊C4—122no—
894C2×C22⋊C4—122no—
895C2×C22⋊C4—122no—
896C2×C22⋊C4C22×D311yescharacteristic
897C2×C22⋊C4C22×D311yescharacteristic
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×C42C22×D311yescharacteristic
922C2×C42C22×D311yescharacteristic
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#95—31no—
954#95—31no—
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×Q8—82no—
1026C3×D4—44no—
1027C3×D4—82no—
1028C3×D4—82no—
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—21no—
1061C2×C3×C4—82no—
1062C2×C3×C4—82no—
1063C2×C3×C4H(5,𝔽2)12yes—
1064#67—28no—
1065#67—28no—
1066#67—44no—
1067#67—44no—
1068#67—44no—
1069#67—82no—
1070#67—82no—
1071#67—82no—
1072#67—82no—
1073#67—82no—
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—21no—
1108C2×Dic3—21no—
1109C2×Dic3—44no—
1110C2×Dic3—82no—
1111C2×Dic3—82no—
1112C2×Dic3—82no—
1113C2×Dic3C2×#4112yes—
1114C2×Dic3C2×#4112yes—
1115C2×Dic3H(5,𝔽2)12yes—
1116C2×Dic3H(5,𝔽2)12yes—
1117D12—44no—
1118D12—82no—
1119C4×D3—82no—
1120C4×D3—82no—
1121C4×D3—82no—
1122C4×D3—82no—
1123C4×D3—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—41no—
1147C2×Q8—41no—
1148C2×Q8—41no—
1149C2×Q8—121no—
1150C2×Q8—121no—
1151C2×Q8—121no—
1152C2×D4—22no—
1153C2×D4—22no—
1154C2×D4—22no—
1155C2×D4—22no—
1156C2×D4—34no—
1157C2×D4—34no—
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—121no—
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—31no—
1200C22×C4—31no—
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—41no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—62no—
1218C22×C4—62no—
1219C22×C4—62no—
1220C22×C4—62no—
1221C22×C4—62no—
1222C22×C4—62no—
1223C22×C4—62no—
1224C22×C4—62no—
1225C22×C4—121no—
1226C22×C4—121no—
1227C22×C4—121no—
1228C22×C4—121no—
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—22no—
1257C4⋊C4—41no—
1258C4⋊C4—62no—
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—121no—
1268C4⋊C4—121no—
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—41no—
1290C22⋊C4—41no—
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—62no—
1301C22⋊C4—62no—
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—41no—
1333C42—41no—
1334C42—62no—
1335C42—62no—
1336C42—62no—
1337C42—62no—
1338C42—62no—
1339C42—62no—
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—82no—
1489Q8—242no—
1490D4—44no—
1491D4—68no—
1492D4—68no—
1493D4—82no—
1494D4—82no—
1495D4—124no—
1496D4—124no—
1497D4—124no—
1498D4—124no—
1499D4—242no—
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—124no—
1579C2×C4—242no—
1580C2×C4—242no—
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#8604511yescharacteristic
1693C2#8607711yescharacteristic
1694C2#8642411yescharacteristic
1695C2#8661611yescharacteristic
1696C2#8663911yescharacteristic
1697C2#8663911yescharacteristic
1698C2D3×#55111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2472C2
prime radical#82588C2
hypercenter#2472D3
hypocenterC3#45013
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2472

Complements

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

NH ≅ G/Ntype
1. C3×#2472C2semidirect
2. #83005C2semidirect
3. #82967C2semidirect
4. #82798C2semidirect
5. #82766C2semidirect
6. #82590C2semidirect
8. C22⋊C4×#67C2semidirect
9. #82107C2semidirect
10. #77474C2semidirect
11. #77461C2semidirect
12. #77110C2semidirect
13. #76909C2semidirect
14. #76907C2semidirect
15. #76899C2semidirect
16. #76842C2semidirect
17. #76799C2semidirect
18. #76384C2semidirect
19. #76306C2semidirect
20. #75881C2semidirect
21. #75769C2semidirect
22. #75548C2semidirect
23. #75458C2semidirect
24. #74855C2semidirect
25. #74851C2semidirect
26. #74708C2semidirect
27. #74667C2semidirect
28. #73859C2semidirect
29. #73850C2semidirect
30. #73589C2semidirect
31. #73463C2semidirect
35. C2×C3×C22⋊Q8C22semidirect
40. C2×#944C22semidirect
45. C2×#935C22semidirect
46. C2×D4×Dic3C22semidirect
47. C2×#929C22semidirect
50. C2×#896C22semidirect
51. C2×#894C22semidirect
53. C2×#883C22semidirect
57. C2×#67⋊C4C22semidirect
60. C2×C4×D12C22semidirect
63. C3×#394C22semidirect
64. C3×#393C22semidirect
65. C3×#390C22semidirect
67. C3×#388C22semidirect
68. C3×#386C22semidirect
69. C3×#386C22semidirect
71. C3×C4×C22⋊C4C22semidirect
73. #5231C22semidirect
74. #5231C22semidirect
75. #5231C22semidirect
79. #5222C22semidirect
81. #5220C22semidirect
84. #5213C22semidirect
85. #5211C22semidirect
86. #5210C22semidirect
87. #4994C22semidirect
88. #4992C22semidirect
89. #4989C22semidirect
90. #4988C22semidirect
91. #4987C22semidirect
92. #4985C22semidirect
93. #4980C22semidirect
94. #4976C22semidirect
95. #4976C22semidirect
96. Dic3×C4⋊C4C22semidirect
97. #4961C22semidirect
102. #4959C22semidirect
103. #4959C22semidirect
104. #4959C22semidirect
107. #4958C22semidirect
108. #4958C22semidirect
109. #4958C22semidirect
110. #4958C22semidirect
117. #4957C22semidirect
118. #4957C22semidirect
119. #4957C22semidirect
125. #4956C22semidirect
126. #4956C22semidirect
127. #4956C22semidirect
128. #4956C22semidirect
129. #4956C22semidirect
136. #4952C22semidirect
137. #4951C22semidirect
139. #4948C22semidirect
140. #4947C22semidirect
141. #4947C22semidirect
142. #4947C22semidirect
144. #4945C22semidirect
145. #4945C22semidirect
146. #4944C22semidirect
147. #4943C22semidirect
148. #4943C22semidirect
151. #4942C22semidirect
152. #4942C22semidirect
153. #4942C22semidirect
157. #4940C22semidirect
158. #4940C22semidirect
159. #4940C22semidirect
160. #4940C22semidirect
161. #4933C22semidirect
162. C4×Dic3⋊C4C22semidirect
163. C4×Dic3⋊C4C22semidirect
164. #4673C22semidirect
165. #4672C22semidirect
166. #4672C22semidirect
167. #4669C22semidirect
168. #4667C22semidirect
169. #4667C22semidirect
170. #4666C22semidirect
171. #4665C22semidirect
172. #4665C22semidirect
173. #4665C22semidirect
174. #4664C22semidirect
175. #4664C22semidirect
176. #4664C22semidirect
177. C3⋊#401C22semidirect
178. C3⋊#401C22semidirect
179. C3⋊#401C22semidirect
180. #4660C22semidirect
181. #4658C22semidirect
182. #4650C22semidirect
183. #4650C22semidirect
184. #4649C22semidirect
185. #4649C22semidirect
186. #4648C22semidirect
187. #4647C22semidirect
202. #2472D3semidirect
415. C2×C22⋊Q8C2×D3semidirect
459. #394C2×D3semidirect
467. #393C2×D3semidirect
482. #390C2×D3semidirect
497. #388C2×D3semidirect
524. #386C2×D3semidirect
525. #386C2×D3semidirect
557. C4×C22⋊C4C2×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×#24722
#830052
#829672
#827982
#827662
#825902
#825882
C22⋊C4×#672
#821072
#774742
#774612
#771102
#769092
#769072
#768992
#768422
#767992
#763842
#763062
#758812
#757692
#755482
#754582
#748552
#748512
#747082
#746672
#738592
#738502
#735892
#734632
#450133