Finite Group Databasebeta

← #11258771

Subgroups — #11258771

Order 768.

2616 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5634C211yesmaximal, characteristic, complemented
2C2×#5629C211yesmaximal, characteristic, complemented
3C3×#2692C211yesmaximal, characteristic, complemented
4#82779C211yesmaximal, characteristic, complemented
5#82766C211yesmaximal, characteristic, complemented
6#78090C211yesmaximal, characteristic, complemented
7#78036C211yesmaximal, characteristic, complemented
8#77986C211yesmaximal, characteristic, complemented
9#77970C211yesmaximal, characteristic, complemented
10#77416C211yesmaximal, characteristic, complemented
11#77372C211yesmaximal, characteristic, complemented
12#77259C211yesmaximal, characteristic, complemented
13#77252C211yesmaximal, characteristic, complemented
14#76875C211yesmaximal, characteristic, complemented
15#76863C211yesmaximal, characteristic, complemented
16#76822C211yesmaximal, characteristic, complemented
17#76783C211yesmaximal, characteristic, complemented
18#76564C211yesmaximal, characteristic, complemented
19#76498C211yesmaximal, characteristic, complemented
20#76454C211yesmaximal, characteristic, complemented
21#76378C211yesmaximal, characteristic, complemented
22#75389C211yesmaximal, characteristic, complemented
23#75301C211yesmaximal, characteristic, complemented
24#74916C211yesmaximal, characteristic, complemented
25#74894C211yesmaximal, characteristic, complemented
26#74893C211yesmaximal, characteristic, complemented
27#74688C211yesmaximal, characteristic, complemented
28#74609C211yesmaximal, characteristic, complemented
29#74605C211yesmaximal, characteristic, complemented
30#74036C211yesmaximal, characteristic, complemented
31#74015C211yesmaximal, characteristic, complemented
32#46356—31nomaximal, Sylow
33C22×#239C2211yescharacteristic
34C22×#235C2211yescharacteristic, complemented
35C2×C3×C22⋊Q8C2211yescharacteristic
36C2×C3×C22⋊Q8C2211yescharacteristic, complemented
37C2×#947C2211yescharacteristic, complemented
38C2×#946C2211yescharacteristic
39C2×#946C2211yescharacteristic
40C2×#946C2211yescharacteristic, complemented
41C2×#946C2211yescharacteristic, complemented
42C2×#944C2211yescharacteristic, complemented
43C2×#939C2211yescharacteristic
44C2×#937C2211yescharacteristic
45C2×#930C2211yescharacteristic
46C2×#930C2211yescharacteristic
47C2×C4×#67C2211yescharacteristic
48C2×C4×#67C2211yescharacteristic
49C22×(C2×D3)⋊C4C2211yescharacteristic
50C2×#924C2211yescharacteristic
51#5634—28no—
52#5629—28no—
53C2×#897C2211yescharacteristic
54C2×#897C2211yescharacteristic
55C2×#896C2211yescharacteristic
56C2×#896C2211yescharacteristic
57C2×#896C2211yescharacteristic
58C2×#896C2211yescharacteristic
59C2×#896C2211yescharacteristic, complemented
60C2×#896C2211yescharacteristic, complemented
61C2×#895C2211yescharacteristic
62C2×#895C2211yescharacteristic
63C2×#895C2211yescharacteristic
64C2×#895C2211yescharacteristic, complemented
65C2×#894C2211yescharacteristic
66C2×#893C2211yescharacteristic
67C2×D3×C4⋊C4C2211yescharacteristic, complemented
68C2×#885C2211yescharacteristic, complemented
69C2×#884C2211yescharacteristic
70C2×#884C2211yescharacteristic
71C2×#884C2211yescharacteristic
72C2×#884C2211yescharacteristic, complemented
73C2×#884C2211yescharacteristic, complemented
74C2×#883C2211yescharacteristic
75C2×#882C2211yescharacteristic
76C2×#882C2211yescharacteristic
77C2×#882C2211yescharacteristic
78C2×#67⋊C4C2211yescharacteristic
79C2×D3×C22⋊C4C2211yescharacteristic
80C2×D3×C22⋊C4C2211yescharacteristic
81C2×#878C2211yescharacteristic
82C2×#878C2211yescharacteristic
83C2×#875C2211yescharacteristic, complemented
84C3×#399C2211yescharacteristic, complemented
85C3×#398C2211yescharacteristic, complemented
86C3×#396C2211yescharacteristic
87C3×#395C2211yescharacteristic, complemented
88C3×#393C2211yescharacteristic
89C3×#393C2211yescharacteristic, complemented
90C3×#391C2211yescharacteristic, complemented
91C3×#390C2211yescharacteristic
92C3×#387C2211yescharacteristic, complemented
93C3×#386C2211yescharacteristic
94C3×#386C2211yescharacteristic
95C3×#385C2211yescharacteristic
96C3×#380C2211yescharacteristic, complemented
97#5231C2211yescharacteristic
98#5223C2211yescharacteristic
99#5223C2211yescharacteristic
100#5210C2211yescharacteristic, complemented
101#4994C2211yescharacteristic
102#4994C2211yescharacteristic, complemented
103#4994C2211yescharacteristic, complemented
104#4993C2211yescharacteristic
105#4993C2211yescharacteristic, complemented
106#4993C2211yescharacteristic, complemented
107#4993C2211yescharacteristic, complemented
108#4991C2211yescharacteristic
109#4991C2211yescharacteristic
110#4990C2211yescharacteristic
111#4989C2211yescharacteristic
112#4989C2211yescharacteristic, complemented
113#4988C2211yescharacteristic
114#4988C2211yescharacteristic, complemented
115#4988C2211yescharacteristic, complemented
116#4982C2211yescharacteristic, complemented
117#4982C2211yescharacteristic, complemented
118#4976C2211yescharacteristic, complemented
119#4976C2211yescharacteristic, complemented
120Dic3×C4⋊C4C2211yescharacteristic, complemented
121#4973C2211yescharacteristic, complemented
122#4961C2211yescharacteristic, complemented
123#4961C2211yescharacteristic, complemented
124#4961C2211yescharacteristic, complemented
125#4960C2211yescharacteristic
126#4960C2211yescharacteristic
127#4960C2211yescharacteristic
128#4960C2211yescharacteristic
129#4959C2211yescharacteristic
130#4959C2211yescharacteristic
131#4959C2211yescharacteristic, complemented
132#4958C2211yescharacteristic
133#4957C2211yescharacteristic
134#4957C2211yescharacteristic
135#4957C2211yescharacteristic
136#4957C2211yescharacteristic
137#4957C2211yescharacteristic
138#4957C2211yescharacteristic, complemented
139#4956C2211yescharacteristic
140#4956C2211yescharacteristic
141#4956C2211yescharacteristic
142#4949C2211yescharacteristic
143#4948C2211yescharacteristic
144#4948C2211yescharacteristic, complemented
145#4947C2211yescharacteristic, complemented
146#4946C2211yescharacteristic
147#4939C2211yescharacteristic
148C4×(C2×D3)⋊C4C2211yescharacteristic
149#4933C2211yescharacteristic, complemented
150#4676C2211yescharacteristic
151#4676C2211yescharacteristic, complemented
152#4673C2211yescharacteristic, complemented
153#4673C2211yescharacteristic, complemented
154#4672C2211yescharacteristic
155#4672C2211yescharacteristic
156#4672C2211yescharacteristic
157#4672C2211yescharacteristic
158#4672C2211yescharacteristic, complemented
159#4672C2211yescharacteristic, complemented
160#4671C2211yescharacteristic
161#4671C2211yescharacteristic
162#4670C2211yescharacteristic
163#4669C2211yescharacteristic
164#4669C2211yescharacteristic
165#4668C2211yescharacteristic
166#4668C2211yescharacteristic, complemented
167#4668C2211yescharacteristic, complemented
168#4668C2211yescharacteristic, complemented
169#4668C2211yescharacteristic, complemented
170#4668C2211yescharacteristic, complemented
171#4668C2211yescharacteristic, complemented
172#4667C2211yescharacteristic, complemented
173#4665C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic
179#4665C2211yescharacteristic
180#4665C2211yescharacteristic
181#4664C2211yescharacteristic
182#4657C2211yescharacteristic, complemented
183#4656C2211yescharacteristic, complemented
184#4655C2211yescharacteristic, complemented
185#4652C2211yescharacteristic, complemented
186#4649C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#543—31no—
191C2×#537—31no—
192#2816—31no—
193#2732—31no—
194#2732—31no—
195#2692—31no—
196#2692D311yescharacteristic, complemented
197#2681—31no—
198#2681—31no—
199#2676—31no—
200#2676—31no—
201#2676—31no—
202#2676—31no—
203#2672—31no—
204#2672—31no—
205#2540—31no—
206#2540—31no—
207#2539—31no—
208#2452—31no—
209#2452—31no—
210#2449—31no—
211#2449—31no—
212#2432—31no—
213#2424—31no—
214#2424—31no—
215#2424—31no—
216#2424—31no—
217#2407—31no—
218#2407—31no—
219#2404—31no—
220#2332—31no—
221C24×D3C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
223C22×C3×Q8C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C23×Dic3C2311yescharacteristic
236C2×#239—24no—
237C2×#239—42no—
238C2×#239—42no—
239C2×#235—24no—
240C2×#235—42no—
241C2×#235—42no—
242C22×D12C2311yescharacteristic
243C22×D12C2311yescharacteristic
244C22×D12C2311yescharacteristic
245C22×D12C2311yescharacteristic
246C22×D12C2311yescharacteristic
247C22×D12C2311yescharacteristic
248C22×D12C2311yescharacteristic
249C22×D12C2311yescharacteristic
250C22×D12C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C22×C4×D3C2311yescharacteristic
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C22×C4×D3C2311yescharacteristic
260C22×Dic6C2311yescharacteristic
261C22×Dic6C2311yescharacteristic
262C22×Dic6C2311yescharacteristic
263C3×C22⋊Q8—24no—
264C3×C22⋊Q8—24no—
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×C4⋊C4C2311yescharacteristic
272C2×C3×C4⋊C4C2311yescharacteristic
273C2×C3×C4⋊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×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C42C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291#947—42no—
292#946—24no—
293#946—24no—
294#946—24no—
295#946—42no—
296#944—42no—
297#939—42no—
298#937—42no—
299#930—24no—
300#930—42no—
301C4×#67—42no—
302C4×#67—42no—
303C2×(C2×D3)⋊C4—24no—
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×C4⋊Dic3C2311yescharacteristic
343C2×C4⋊Dic3C2311yescharacteristic
344C2×C4⋊Dic3C2311yescharacteristic
345C2×C4⋊Dic3C2311yescharacteristic
346C2×C4⋊Dic3C2311yescharacteristic
347C2×C4⋊Dic3C2311yescharacteristic
348#924—24no—
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×C4×Dic3C2311yescharacteristic
368C2×C4×Dic3C2311yescharacteristic
369C2×C4×Dic3C2311yescharacteristic
370C2×C4×Dic3C2311yescharacteristic
371C2×C4×Dic3C2311yescharacteristic
372#897—24no—
373#897—24no—
374#896—24no—
375#896—24no—
376#896—24no—
377#896—24no—
378#896—42no—
379#896D418yescomplemented
380#895—24no—
381#895—24no—
382#895—24no—
383#895—42no—
384#894—42no—
385#893—42no—
386D3×C4⋊C4—24no—
387#885—42no—
388#884—24no—
389#884—24no—
390#884—24no—
391#884—24no—
392#884—42no—
393#883—42no—
394#882—42no—
395#882—42no—
396#882—42no—
397#67⋊C4—42no—
398D3×C22⋊C4—24no—
399D3×C22⋊C4—24no—
400#878—24no—
401#878—24no—
402#875—42no—
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
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C3⋊#95C2311yescharacteristic
427C3⋊#95C2311yescharacteristic
428C3⋊#95C2311yescharacteristic
429C22×#41—31no—
430C22×#41—31no—
431#543—68no—
432#537—68no—
433C2×C4⋊Q8—31no—
434C2×#124—31no—
435C2×#124—31no—
436C2×#124—31no—
437C2×#123—31no—
438C2×#123—31no—
439C2×C22⋊Q8—31no—
440C2×C22⋊Q8—31no—
441C2×C22⋊Q8—31no—
442C2×C22⋊Q8—31no—
443C2×C22⋊Q8—31no—
444C2×C22⋊Q8—31no—
445C2×C22⋊Q8—31no—
446C2×C22⋊Q8—31no—
447C2×C22⋊Q8—31no—
448C2×C22⋊Q8—31no—
449C2×C22⋊Q8—31no—
450C2×C22⋊Q8—31no—
451C2×C22⋊Q8—31no—
452C2×C22⋊Q8—31no—
453C2×C22⋊Q8—31no—
454C2×C22⋊Q8C2×D311yescharacteristic
455C2×C22⋊Q8C2×D311yescharacteristic, complemented
456C2×#121—31no—
457C2×#121—31no—
458C2×#121—31no—
459C2×#121—31no—
460C2×#121—31no—
461C2×#121—31no—
462C2×#121—31no—
463C2×#121—31no—
464C2×#121—31no—
465C2×#121—31no—
466C2×#121—31no—
467C2×#121—31no—
468C2×#120—31no—
469C2×#120—31no—
470C2×#120—31no—
471C2×#120—31no—
472C2×C4×D4—31no—
473C2×C4×D4—31no—
474C2×C4×D4—31no—
475C2×C4×D4—31no—
476C22×C4⋊C4—31no—
477C22×C22⋊C4—31no—
478C22×C22⋊C4—31no—
479C22×C22⋊C4—31no—
480#399—31no—
481#399—31no—
482#399—31no—
483#399—31no—
484#399—31no—
485#399C2×D311yescharacteristic, complemented
486#398—31no—
487#398—31no—
488#398—31no—
489#398C2×D311yescharacteristic, complemented
490#396—31no—
491#396—31no—
492#396—31no—
493#396—31no—
494#396—31no—
495#396—31no—
496#396—31no—
497#396C2×D311yescharacteristic
498#395—31no—
499#395C2×D311yescharacteristic, complemented
500#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#394—31no—
505#394—31no—
506#394—31no—
507#394—31no—
508#394—31no—
509#394—31no—
510#394—31no—
511#394—31no—
512#394—31no—
513#394—31no—
514#393—31no—
515#393—31no—
516#393—31no—
517#393—31no—
518#393C2×D311yescharacteristic
519#393C2×D311yescharacteristic, complemented
520#392—31no—
521#392—31no—
522#392—31no—
523#392—31no—
524#392—31no—
525#392—31no—
526#392—31no—
527#392—31no—
528#391—31no—
529#391—31no—
530#391C2×D311yescharacteristic, complemented
531#390—31no—
532#390—31no—
533#390—31no—
534#390—31no—
535#390—31no—
536#390—31no—
537#390—31no—
538#390—31no—
539#390—31no—
540#390—31no—
541#390C2×D311yescharacteristic
542#389—31no—
543#389—31no—
544#389—31no—
545#389—31no—
546#388—31no—
547#388—31no—
548#388—31no—
549#388—31no—
550#387—31no—
551#387—31no—
552#387—31no—
553#387C2×D311yescharacteristic, complemented
554#386—31no—
555#386—31no—
556#386—31no—
557#386—31no—
558#386—31no—
559#386—31no—
560#386—31no—
561#386—31no—
562#386—31no—
563#386—31no—
564#386—31no—
565#386—31no—
566#386C2×D311yescharacteristic
567#386C2×D311yescharacteristic
568#385—31no—
569#385—31no—
570#385—31no—
571#385—31no—
572#385—31no—
573#385—31no—
574#385—31no—
575#385—31no—
576#385—31no—
577#385—31no—
578#385—31no—
579#385C2×D311yescharacteristic
580#381—31no—
581#380—31no—
582#380C2×D311yescharacteristic, complemented
583C4×C4⋊C4—31no—
584C4×C4⋊C4—31no—
585C4×C22⋊C4—31no—
586C24×C3C2411yescharacteristic
587C24×C3C2411yescharacteristic
588C23×D3—22no—
589C23×D3—22no—
590C23×D3—22no—
591C23×D3—41no—
592C23×D3—41no—
593C23×D3—41no—
594C23×D3—41no—
595C23×D3C2411yescharacteristic
596C23×D3C2411yescharacteristic
597C23×D3C2411yescharacteristic
598C23×D3C2411yescharacteristic
599C23×D3C2411yescharacteristic
600C2×C3×Q8—22no—
601C2×C3×Q8—22no—
602C2×C3×Q8—22no—
603C2×C3×Q8—41no—
604C2×C3×Q8—41no—
605C2×C3×Q8—41no—
606C2×C3×D4—22no—
607C2×C3×D4—41no—
608C2×C3×D4—41no—
609C22×C3×C4—22no—
610C22×C3×C4—22no—
611C22×C3×C4—22no—
612C22×C3×C4—41no—
613C22×C3×C4—41no—
614C22×C3×C4—41no—
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C22×C3×C4C2411yescharacteristic
619C22×C3×C4C2411yescharacteristic
620C22×C3×C4C2411yescharacteristic
621C22×C3×C4C2411yescharacteristic
622C22×C3×C4C2411yescharacteristic
623C22×C3×C4C2411yescharacteristic
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C22×C3×C4C2411yescharacteristic
627C22×C3×C4C2411yescharacteristic
628C2×#67—22no—
629C2×#67—22no—
630C2×#67—22no—
631C2×#67—22no—
632C2×#67—22no—
633C2×#67—22no—
634C2×#67—22no—
635C2×#67—22no—
636C2×#67—22no—
637C2×#67—22no—
638C2×#67—22no—
639C2×#67—22no—
640C2×#67—41no—
641C2×#67—41no—
642C2×#67—41no—
643C2×#67—41no—
644C2×#67—41no—
645C2×#67—41no—
646C2×#67—41no—
647C2×#67—41no—
648C2×#67—41no—
649C2×#67—41no—
650C2×#67—41no—
651C2×#67—41no—
652C22×Dic3—22no—
653C22×Dic3—41no—
654C22×Dic3—41no—
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657C22×Dic3C2411yescharacteristic
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660C22×Dic3C2411yescharacteristic
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2411yescharacteristic
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666#239—416no—
667#235—416no—
668C2×D12—22no—
669C2×D12—22no—
670C2×D12—22no—
671C2×D12—22no—
672C2×D12—22no—
673C2×D12—22no—
674C2×D12—22no—
675C2×D12—22no—
676C2×D12—22no—
677C2×D12—22no—
678C2×D12—22no—
679C2×D12—22no—
680C2×D12—22no—
681C2×D12—22no—
682C2×D12—41no—
683C2×D12—41no—
684C2×D12—41no—
685C2×D12—41no—
686C2×D12—41no—
687C2×D12—41no—
688C2×D12—41no—
689C2×D12—41no—
690C2×D12—41no—
691C2×D12—41no—
692C2×D12—41no—
693C2×D12—41no—
694C2×D12—41no—
695C2×C4×D3—22no—
696C2×C4×D3—22no—
697C2×C4×D3—22no—
698C2×C4×D3—22no—
699C2×C4×D3—22no—
700C2×C4×D3—22no—
701C2×C4×D3—22no—
702C2×C4×D3—22no—
703C2×C4×D3—22no—
704C2×C4×D3—22no—
705C2×C4×D3—22no—
706C2×C4×D3—41no—
707C2×C4×D3—41no—
708C2×C4×D3—41no—
709C2×C4×D3—41no—
710C2×C4×D3—41no—
711C2×C4×D3—41no—
712C2×C4×D3—41no—
713C2×C4×D3—41no—
714C2×C4×D3—41no—
715C2×C4×D3—41no—
716C2×C4×D3—41no—
717C2×C4×D3—41no—
718C2×C4×D3—41no—
719C2×C4×D3—41no—
720C2×C4×D3—41no—
721C2×C4×D3C2×D414yes—
722C2×Dic6—22no—
723C2×Dic6—22no—
724C2×Dic6—41no—
725C2×Dic6—41no—
726C2×Dic6—41no—
727C2×Dic6—41no—
728C2×Dic6—41no—
729C2×Dic6—41no—
730C2×Dic6C2×D414yes—
731C3×C4⋊C4—22no—
732C3×C4⋊C4—22no—
733C3×C4⋊C4—22no—
734C3×C4⋊C4—22no—
735C3×C4⋊C4—41no—
736C3×C4⋊C4—41no—
737C3×C4⋊C4—41no—
738C3×C4⋊C4—41no—
739C3×C4⋊C4C2×D414yes—
740C3×C22⋊C4—22no—
741C3×C22⋊C4—22no—
742C3×C22⋊C4—22no—
743C3×C22⋊C4—22no—
744C3×C22⋊C4—22no—
745C3×C22⋊C4—41no—
746C3×C22⋊C4—41no—
747C3×C22⋊C4—41no—
748C3×C22⋊C4—41no—
749C3×C22⋊C4—41no—
750C3×C42—41no—
751#217—22no—
752#217—22no—
753#217—22no—
754#217—22no—
755#217—41no—
756#217—41no—
757(C2×D3)⋊C4—22no—
758(C2×D3)⋊C4—22no—
759(C2×D3)⋊C4—22no—
760(C2×D3)⋊C4—22no—
761(C2×D3)⋊C4—22no—
762(C2×D3)⋊C4—22no—
763(C2×D3)⋊C4—22no—
764(C2×D3)⋊C4—22no—
765(C2×D3)⋊C4—22no—
766(C2×D3)⋊C4—22no—
767(C2×D3)⋊C4—22no—
768(C2×D3)⋊C4—22no—
769(C2×D3)⋊C4—22no—
770(C2×D3)⋊C4—22no—
771(C2×D3)⋊C4—22no—
772(C2×D3)⋊C4—22no—
773(C2×D3)⋊C4—22no—
774(C2×D3)⋊C4—22no—
775(C2×D3)⋊C4—22no—
776(C2×D3)⋊C4—22no—
777(C2×D3)⋊C4—22no—
778(C2×D3)⋊C4—41no—
779(C2×D3)⋊C4—41no—
780(C2×D3)⋊C4—41no—
781(C2×D3)⋊C4—41no—
782(C2×D3)⋊C4—41no—
783(C2×D3)⋊C4—41no—
784(C2×D3)⋊C4—41no—
785(C2×D3)⋊C4—41no—
786(C2×D3)⋊C4—41no—
787(C2×D3)⋊C4—41no—
788(C2×D3)⋊C4—41no—
789(C2×D3)⋊C4—41no—
790(C2×D3)⋊C4—41no—
791(C2×D3)⋊C4—41no—
792(C2×D3)⋊C4—41no—
793(C2×D3)⋊C4C2×D414yes—
794(C2×D3)⋊C4C2×D414yes—
795C4⋊Dic3—22no—
796C4⋊Dic3—22no—
797C4⋊Dic3—22no—
798C4⋊Dic3—22no—
799C4⋊Dic3—22no—
800C4⋊Dic3—41no—
801Dic3⋊C4—22no—
802Dic3⋊C4—22no—
803Dic3⋊C4—22no—
804Dic3⋊C4—22no—
805Dic3⋊C4—22no—
806Dic3⋊C4—22no—
807Dic3⋊C4—22no—
808Dic3⋊C4—22no—
809Dic3⋊C4—22no—
810Dic3⋊C4—22no—
811Dic3⋊C4—22no—
812Dic3⋊C4—41no—
813Dic3⋊C4—41no—
814Dic3⋊C4—41no—
815Dic3⋊C4—41no—
816Dic3⋊C4—41no—
817Dic3⋊C4C2×D414yes—
818Dic3⋊C4C2×D414yes—
819C4×Dic3—22no—
820C4×Dic3—22no—
821C4×Dic3—41no—
822C4×Dic3—41no—
823C4×Dic3—41no—
824C25—31no—
825C2×#41—64no—
826C2×#41—64no—
827C2×#41—122no—
828C2×#41—122no—
829C2×#41—122no—
830C2×#41—122no—
831C22×Q8—31no—
832C22×Q8—31no—
833C22×Q8—31no—
834C22×Q8C22×D311yescharacteristic
835C22×Q8C22×D311yescharacteristic
836C22×D4—31no—
837C22×D4—31no—
838C22×D4—31no—
839C22×D4—31no—
840C22×D4—31no—
841C22×D4—31no—
842C22×D4—31no—
843C22×D4—31no—
844C22×D4—31no—
845C22×D4—31no—
846C22×D4—31no—
847C22×D4—31no—
848C22×D4—31no—
849C22×D4—31no—
850C22×D4—31no—
851C22×D4—31no—
852C22×D4—31no—
853C22×D4C22×D311yescharacteristic
854C23×C4—31no—
855C23×C4—31no—
856C23×C4—31no—
857C23×C4—31no—
858C23×C4—31no—
859C23×C4—31no—
860C23×C4—31no—
861C23×C4—31no—
862C23×C4—31no—
863C23×C4—31no—
864C23×C4C22×D311yescharacteristic
865C23×C4C22×D311yescharacteristic
866C4⋊Q8—122no—
867#124—122no—
868#124—122no—
869#124—122no—
870#123—122no—
871#123—122no—
872C22⋊Q8—24no—
873C22⋊Q8—24no—
874C22⋊Q8—38no—
875C22⋊Q8—64no—
876C22⋊Q8—64no—
877C22⋊Q8—64no—
878C22⋊Q8—64no—
879C22⋊Q8—64no—
880C22⋊Q8—64no—
881C22⋊Q8—64no—
882C22⋊Q8—64no—
883C22⋊Q8—64no—
884C22⋊Q8—64no—
885C22⋊Q8—64no—
886C22⋊Q8—64no—
887C22⋊Q8—122no—
888C22⋊Q8—122no—
889#121—64no—
890#121—64no—
891#121—64no—
892#121—64no—
893#121—64no—
894#121—64no—
895#121—64no—
896#121—64no—
897#121—122no—
898#121—122no—
899#121—122no—
900#121—122no—
901#120—122no—
902#120—122no—
903#120—122no—
904#120—122no—
905C4×D4—122no—
906C4×D4—122no—
907C4×D4—122no—
908C4×D4—122no—
909C2×C4⋊C4—31no—
910C2×C4⋊C4—31no—
911C2×C4⋊C4—31no—
912C2×C4⋊C4—31no—
913C2×C4⋊C4—31no—
914C2×C4⋊C4—31no—
915C2×C4⋊C4—31no—
916C2×C4⋊C4—31no—
917C2×C4⋊C4—31no—
918C2×C4⋊C4—31no—
919C2×C4⋊C4—31no—
920C2×C4⋊C4—31no—
921C2×C4⋊C4—31no—
922C2×C4⋊C4—31no—
923C2×C4⋊C4—31no—
924C2×C4⋊C4—31no—
925C2×C4⋊C4—31no—
926C2×C4⋊C4—31no—
927C2×C4⋊C4—31no—
928C2×C4⋊C4—31no—
929C2×C4⋊C4—31no—
930C2×C4⋊C4—31no—
931C2×C4⋊C4—31no—
932C2×C4⋊C4—31no—
933C2×C4⋊C4—64no—
934C2×C4⋊C4C22×D311yescharacteristic
935C2×C4⋊C4C22×D311yescharacteristic
936C2×C4⋊C4C22×D311yescharacteristic
937C2×C4⋊C4C22×D311yescharacteristic
938C2×C4⋊C4C22×D311yescharacteristic
939C2×C4⋊C4C22×D311yescharacteristic
940C2×C4⋊C4C22×D311yescharacteristic
941C2×C4⋊C4C22×D311yescharacteristic
942C2×C4⋊C4C22×D311yescharacteristic
943C2×C22⋊C4—31no—
944C2×C22⋊C4—31no—
945C2×C22⋊C4—31no—
946C2×C22⋊C4—31no—
947C2×C22⋊C4—31no—
948C2×C22⋊C4—31no—
949C2×C22⋊C4—31no—
950C2×C22⋊C4—31no—
951C2×C22⋊C4—31no—
952C2×C22⋊C4—31no—
953C2×C22⋊C4—31no—
954C2×C22⋊C4—31no—
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
957C2×C22⋊C4—31no—
958C2×C22⋊C4—31no—
959C2×C22⋊C4—31no—
960C2×C22⋊C4—31no—
961C2×C22⋊C4—31no—
962C2×C22⋊C4—31no—
963C2×C22⋊C4—31no—
964C2×C22⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—31no—
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—31no—
973C2×C22⋊C4—31no—
974C2×C22⋊C4—31no—
975C2×C22⋊C4—31no—
976C2×C22⋊C4—31no—
977C2×C22⋊C4—31no—
978C2×C22⋊C4—31no—
979C2×C22⋊C4—31no—
980C2×C22⋊C4—31no—
981C2×C22⋊C4—31no—
982C2×C22⋊C4—31no—
983C2×C22⋊C4—31no—
984C2×C22⋊C4—31no—
985C2×C22⋊C4—31no—
986C2×C22⋊C4—31no—
987C2×C22⋊C4—64no—
988C2×C22⋊C4—64no—
989C2×C22⋊C4—64no—
990C2×C22⋊C4C22×D311yescharacteristic
991C2×C22⋊C4C22×D311yescharacteristic
992C2×C22⋊C4C22×D311yescharacteristic
993C2×C22⋊C4C22×D311yescharacteristic
994C2×C22⋊C4C22×D311yescharacteristic
995C2×C22⋊C4C22×D311yescharacteristic
996C2×C22⋊C4C22×D311yescharacteristic
997C2×C22⋊C4C22×D311yescharacteristic
998C2×C22⋊C4C22×D311yescharacteristic
999C2×C22⋊C4C22×D311yescharacteristic
1000C2×C42—31no—
1001C2×C42—31no—
1002C2×C42—31no—
1003C2×C42—31no—
1004C2×C42—31no—
1005C2×C42C22×D311yescharacteristic
1006#95—31no—
1007#95—31no—
1008#95—31no—
1009#95—31no—
1010#95—31no—
1011#95—31no—
1012#95—31no—
1013#95—31no—
1014#95—31no—
1015#95—31no—
1016#95—31no—
1017#95—31no—
1018#95—31no—
1019#95—31no—
1020#95—31no—
1021#95—31no—
1022#95C22×D311yescharacteristic
1023#95C22×D311yescharacteristic
1024#95C22×D311yescharacteristic
1025#95C22×D311yescharacteristic
1026#95C22×D311yescharacteristic
1027#95C22×D311yescharacteristic
1028#95C22×D311yescharacteristic
1029#95C22×D311yescharacteristic
1030#95C22×D311yescharacteristic
1031#95C22×D311yescharacteristic
1032C23×C3—21no—
1033C23×C3—21no—
1034C23×C3—21no—
1035C23×C3—21no—
1036C23×C3—21no—
1037C23×C3—21no—
1038C23×C3—21no—
1039C23×C3—21no—
1040C23×C3—21no—
1041C23×C3—21no—
1042C23×C3—21no—
1043C23×C3—21no—
1044C23×C3—21no—
1045C23×C32−1+412yes—
1046C23×C3C2511yescharacteristic
1047C22×D3—21no—
1048C22×D3—21no—
1049C22×D3—21no—
1050C22×D3—21no—
1051C22×D3—21no—
1052C22×D3—21no—
1053C22×D3—21no—
1054C22×D3—21no—
1055C22×D3—21no—
1056C22×D3—21no—
1057C22×D3—21no—
1058C22×D3—21no—
1059C22×D3—21no—
1060C22×D3—21no—
1061C22×D3—21no—
1062C22×D3—21no—
1063C22×D3—21no—
1064C22×D3—21no—
1065C22×D3—28no—
1066C22×D3—21no—
1067C22×D3—21no—
1068C22×D3—21no—
1069C22×D3—21no—
1070C22×D3—21no—
1071C22×D3—21no—
1072C22×D3—21no—
1073C22×D3—21no—
1074C22×D3—21no—
1075C22×D3—21no—
1076C22×D3—21no—
1077C22×D3—21no—
1078C22×D3—21no—
1079C22×D3—21no—
1080C22×D3—82no—
1081C22×D3—82no—
1082C22×D3—82no—
1083C22×D3—82no—
1084C22×D3—82no—
1085C22×D3—82no—
1086C22×D3C22×D412yes—
1087C22×D3H(5,𝔽2)12yes—
1088C22×D32−1+412yes—
1089C3×Q8—44no—
1090C3×Q8—82no—
1091C3×D4—82no—
1092C2×C3×C4—21no—
1093C2×C3×C4—21no—
1094C2×C3×C4—21no—
1095C2×C3×C4—21no—
1096C2×C3×C4—21no—
1097C2×C3×C4—21no—
1098C2×C3×C4—21no—
1099C2×C3×C4—21no—
1100C2×C3×C4—21no—
1101C2×C3×C4—21no—
1102C2×C3×C4—21no—
1103C2×C3×C4—21no—
1104C2×C3×C4—21no—
1105C2×C3×C4—21no—
1106C2×C3×C4—21no—
1107C2×C3×C4—21no—
1108C2×C3×C4—21no—
1109C2×C3×C4—21no—
1110C2×C3×C4—21no—
1111C2×C3×C4—21no—
1112C2×C3×C4—21no—
1113C2×C3×C4—21no—
1114C2×C3×C4—21no—
1115C2×C3×C4—21no—
1116C2×C3×C4—21no—
1117C2×C3×C4—21no—
1118C2×C3×C4—21no—
1119C2×C3×C4—21no—
1120C2×C3×C4—21no—
1121C2×C3×C4—21no—
1122C2×C3×C4—21no—
1123C2×C3×C4—21no—
1124C2×C3×C4—21no—
1125C2×C3×C4—21no—
1126C2×C3×C4—21no—
1127C2×C3×C4—44no—
1128C2×C3×C4—82no—
1129C2×C3×C4C22×D412yes—
1130C2×C3×C4C22×D412yes—
1131C2×C3×C4C22×D412yes—
1132C2×C3×C4H(5,𝔽2)12yes—
1133#67—44no—
1134#67—44no—
1135#67—44no—
1136#67—44no—
1137#67—44no—
1138#67—82no—
1139#67—82no—
1140#67—82no—
1141C2×Dic3—21no—
1142C2×Dic3—21no—
1143C2×Dic3—21no—
1144C2×Dic3—21no—
1145C2×Dic3—21no—
1146C2×Dic3—21no—
1147C2×Dic3—21no—
1148C2×Dic3—21no—
1149C2×Dic3—21no—
1150C2×Dic3—21no—
1151C2×Dic3—21no—
1152C2×Dic3—21no—
1153C2×Dic3—21no—
1154C2×Dic3—21no—
1155C2×Dic3—21no—
1156C2×Dic3—21no—
1157C2×Dic3—21no—
1158C2×Dic3—21no—
1159C2×Dic3—21no—
1160C2×Dic3—21no—
1161C2×Dic3—21no—
1162C2×Dic3—21no—
1163C2×Dic3—21no—
1164C2×Dic3—21no—
1165C2×Dic3—21no—
1166C2×Dic3—21no—
1167C2×Dic3—21no—
1168C2×Dic3—21no—
1169C2×Dic3—82no—
1170C2×Dic3C22×D412yes—
1171C2×Dic3C22×D412yes—
1172C2×Dic3C22×D412yes—
1173C2×Dic3H(5,𝔽2)12yes—
1174C2×Dic3H(5,𝔽2)12yes—
1175D12—44no—
1176D12—44no—
1177D12—44no—
1178D12—44no—
1179D12—44no—
1180D12—82no—
1181D12—82no—
1182D12—82no—
1183D12—82no—
1184C4×D3—28no—
1185C4×D3—44no—
1186C4×D3—44no—
1187C4×D3—44no—
1188C4×D3—82no—
1189C4×D3—82no—
1190C4×D3—82no—
1191C4×D3—82no—
1192C4×D3—82no—
1193Dic6—44no—
1194Dic6—82no—
1195Dic6—82no—
1196C24—31no—
1197C24—31no—
1198C24—31no—
1199C24—31no—
1200C24—31no—
1201C24—62no—
1202C24—62no—
1203C24—62no—
1204C24—121no—
1205C24—121no—
1206C24—121no—
1207C24—121no—
1208C24C23×D311yescharacteristic
1209C24C23×D311yescharacteristic
1210#41—1216no—
1211#41—1216no—
1212C2×Q8—22no—
1213C2×Q8—22no—
1214C2×Q8—22no—
1215C2×Q8—34no—
1216C2×Q8—41no—
1217C2×Q8—41no—
1218C2×Q8—41no—
1219C2×Q8—62no—
1220C2×Q8—62no—
1221C2×Q8—121no—
1222C2×Q8—121no—
1223C2×Q8—121no—
1224C2×Q8—121no—
1225C2×Q8—121no—
1226C2×Q8—121no—
1227C2×D4—22no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—62no—
1231C2×D4—62no—
1232C2×D4—62no—
1233C2×D4—62no—
1234C2×D4—62no—
1235C2×D4—62no—
1236C2×D4—62no—
1237C2×D4—62no—
1238C2×D4—62no—
1239C2×D4—62no—
1240C2×D4—62no—
1241C2×D4—62no—
1242C2×D4—62no—
1243C2×D4—62no—
1244C2×D4—62no—
1245C2×D4—62no—
1246C2×D4—62no—
1247C2×D4—62no—
1248C2×D4—62no—
1249C2×D4—62no—
1250C2×D4—62no—
1251C2×D4—62no—
1252C2×D4—62no—
1253C2×D4—62no—
1254C2×D4—62no—
1255C2×D4—62no—
1256C2×D4—121no—
1257C2×D4—121no—
1258C2×D4—121no—
1259C2×D4—121no—
1260C2×D4—121no—
1261C2×D4—121no—
1262C2×D4—121no—
1263C2×D4—121no—
1264C2×D4—121no—
1265C2×D4—121no—
1266C2×D4—121no—
1267C2×D4—121no—
1268C2×D4—121no—
1269C2×D4—121no—
1270C2×D4—121no—
1271C2×D4—121no—
1272C2×D4—121no—
1273C2×D4—121no—
1274C2×D4—121no—
1275C2×D4—121no—
1276C2×D4—121no—
1277C2×D4—121no—
1278C2×D4—121no—
1279C2×D4—121no—
1280C2×D4—121no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—31no—
1285C22×C4—31no—
1286C22×C4—31no—
1287C22×C4—31no—
1288C22×C4—31no—
1289C22×C4—34no—
1290C22×C4—31no—
1291C22×C4—31no—
1292C22×C4—31no—
1293C22×C4—31no—
1294C22×C4—31no—
1295C22×C4—31no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—62no—
1300C22×C4—62no—
1301C22×C4—62no—
1302C22×C4—62no—
1303C22×C4—62no—
1304C22×C4—62no—
1305C22×C4—62no—
1306C22×C4—62no—
1307C22×C4—62no—
1308C22×C4—62no—
1309C22×C4—62no—
1310C22×C4—62no—
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×C4C23×D311yescharacteristic
1329C22×C4C23×D311yescharacteristic
1330C22×C4C23×D311yescharacteristic
1331C22×C4C23×D311yescharacteristic
1332C22×C4C23×D311yescharacteristic
1333C22×C4C23×D311yescharacteristic
1334C22×C4C23×D311yescharacteristic
1335C22×C4C23×D311yescharacteristic
1336C22×C4C23×D311yescharacteristic
1337C22×C4C23×D311yescharacteristic
1338C22×C4C23×D311yescharacteristic
1339C22×C4C23×D311yescharacteristic
1340C22×C4C23×D311yescharacteristic
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—34no—
1346C4⋊C4—34no—
1347C4⋊C4—41no—
1348C4⋊C4—41no—
1349C4⋊C4—41no—
1350C4⋊C4—41no—
1351C4⋊C4—62no—
1352C4⋊C4—62no—
1353C4⋊C4—62no—
1354C4⋊C4—62no—
1355C4⋊C4—62no—
1356C4⋊C4—62no—
1357C4⋊C4—62no—
1358C4⋊C4—62no—
1359C4⋊C4—62no—
1360C4⋊C4—62no—
1361C4⋊C4—62no—
1362C4⋊C4—62no—
1363C4⋊C4—62no—
1364C4⋊C4—62no—
1365C4⋊C4—62no—
1366C4⋊C4—62no—
1367C4⋊C4—121no—
1368C4⋊C4—121no—
1369C4⋊C4—121no—
1370C4⋊C4—121no—
1371C4⋊C4—121no—
1372C4⋊C4—121no—
1373C4⋊C4D3×D414yes—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—34no—
1380C22⋊C4—34no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—62no—
1387C22⋊C4—62no—
1388C22⋊C4—62no—
1389C22⋊C4—62no—
1390C22⋊C4—62no—
1391C22⋊C4—62no—
1392C22⋊C4—62no—
1393C22⋊C4—62no—
1394C22⋊C4—62no—
1395C22⋊C4—62no—
1396C22⋊C4—62no—
1397C22⋊C4—62no—
1398C22⋊C4—62no—
1399C22⋊C4—62no—
1400C22⋊C4—62no—
1401C22⋊C4—62no—
1402C22⋊C4—62no—
1403C22⋊C4—62no—
1404C22⋊C4—62no—
1405C22⋊C4—62no—
1406C22⋊C4—62no—
1407C22⋊C4—62no—
1408C22⋊C4—62no—
1409C22⋊C4—62no—
1410C22⋊C4—62no—
1411C22⋊C4—121no—
1412C22⋊C4—121no—
1413C22⋊C4—121no—
1414C22⋊C4—121no—
1415C22⋊C4—121no—
1416C22⋊C4—121no—
1417C22⋊C4—121no—
1418C22⋊C4—121no—
1419C22⋊C4—121no—
1420C22⋊C4—121no—
1421C22⋊C4—121no—
1422C22⋊C4—121no—
1423C22⋊C4—121no—
1424C22⋊C4—121no—
1425C22⋊C4—121no—
1426C22⋊C4—121no—
1427C22⋊C4—121no—
1428C42—41no—
1429C42—62no—
1430C42—62no—
1431C42—121no—
1432C42—121no—
1433C42—121no—
1434C22×C3—22no—
1435C22×C3—22no—
1436C22×C3—22no—
1437C22×C3—41no—
1438C22×C3—41no—
1439C22×C3—41no—
1440C22×C3—41no—
1441C22×C3—41no—
1442C22×C3—41no—
1443C22×C3—41no—
1444C22×C3—41no—
1445C22×C3—41no—
1446C22×C3—41no—
1447C22×C3—41no—
1448C22×C3C23×D411yescharacteristic
1449C22×C3C2×H(5,𝔽2)11yescharacteristic
1450C22×C3C2×H(5,𝔽2)11yescharacteristic
1451C22×C3C2×H(5,𝔽2)11yescharacteristic
1452C22×C3C2×H(5,𝔽2)11yescharacteristic
1453C22×C3C2×2−1+411yescharacteristic
1454C22×C3C2×2−1+411yescharacteristic
1455C2×D3—22no—
1456C2×D3—22no—
1457C2×D3—22no—
1458C2×D3—22no—
1459C2×D3—22no—
1460C2×D3—22no—
1461C2×D3—22no—
1462C2×D3—22no—
1463C2×D3—22no—
1464C2×D3—41no—
1465C2×D3—41no—
1466C2×D3—41no—
1467C2×D3—41no—
1468C2×D3—41no—
1469C2×D3—41no—
1470C2×D3—41no—
1471C2×D3—41no—
1472C2×D3—41no—
1473C2×D3—41no—
1474C2×D3—41no—
1475C2×D3—41no—
1476C2×D3—41no—
1477C2×D3—41no—
1478C2×D3—41no—
1479C2×D3—41no—
1480C2×D3—41no—
1481C2×D3—41no—
1482C2×D3—41no—
1483C2×D3—41no—
1484C2×D3—41no—
1485C2×D3—41no—
1486C2×D3—41no—
1487C2×D3—41no—
1488C2×D3—41no—
1489C2×D3—41no—
1490C2×D3—88no—
1491C3×C4—22no—
1492C3×C4—22no—
1493C3×C4—22no—
1494C3×C4—22no—
1495C3×C4—41no—
1496C3×C4—41no—
1497C3×C4—41no—
1498C3×C4—41no—
1499C3×C4—41no—
1500C3×C4—41no—
1501C3×C4—41no—
1502C3×C4—41no—
1503C3×C4—41no—
1504Dic3—22no—
1505Dic3—22no—
1506Dic3—22no—
1507Dic3—22no—
1508Dic3—22no—
1509Dic3—41no—
1510Dic3—41no—
1511Dic3—41no—
1512Dic3—41no—
1513Dic3—41no—
1514Dic3—41no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—32no—
1529C23—32no—
1530C23—32no—
1531C23—68no—
1532C23—61no—
1533C23—61no—
1534C23—61no—
1535C23—61no—
1536C23—61no—
1537C23—61no—
1538C23—61no—
1539C23—61no—
1540C23—61no—
1541C23—61no—
1542C23—61no—
1543C23—61no—
1544C23—61no—
1545C23—61no—
1546C23—61no—
1547C23—61no—
1548C23—61no—
1549C23—61no—
1550C23—61no—
1551C23—61no—
1552C23—61no—
1553C23—61no—
1554C23—61no—
1555C23—61no—
1556C23—61no—
1557C23—61no—
1558C23—61no—
1559C23—61no—
1560C23—61no—
1561C23—61no—
1562C23—61no—
1563C23—61no—
1564C23—242no—
1565C23—242no—
1566C23—242no—
1567C23—242no—
1568C23—242no—
1569C23—242no—
1570C23#100712yes—
1571C23C24×D311yescharacteristic
1572Q8—44no—
1573Q8—82no—
1574Q8—124no—
1575Q8—242no—
1576Q8—242no—
1577D4—82no—
1578D4—124no—
1579D4—124no—
1580D4—124no—
1581D4—124no—
1582D4—124no—
1583D4—124no—
1584D4—124no—
1585D4—124no—
1586D4—124no—
1587D4—124no—
1588D4—242no—
1589D4—242no—
1590D4—242no—
1591D4—242no—
1592D4—242no—
1593D4—242no—
1594D4—242no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—32no—
1631C2×C4—32no—
1632C2×C4—32no—
1633C2×C4—32no—
1634C2×C4—32no—
1635C2×C4—44no—
1636C2×C4—68no—
1637C2×C4—61no—
1638C2×C4—61no—
1639C2×C4—61no—
1640C2×C4—61no—
1641C2×C4—61no—
1642C2×C4—61no—
1643C2×C4—61no—
1644C2×C4—61no—
1645C2×C4—61no—
1646C2×C4—61no—
1647C2×C4—61no—
1648C2×C4—61no—
1649C2×C4—61no—
1650C2×C4—61no—
1651C2×C4—61no—
1652C2×C4—61no—
1653C2×C4—61no—
1654C2×C4—61no—
1655C2×C4—61no—
1656C2×C4—61no—
1657C2×C4—61no—
1658C2×C4—61no—
1659C2×C4—61no—
1660C2×C4—61no—
1661C2×C4—61no—
1662C2×C4—61no—
1663C2×C4—61no—
1664C2×C4—61no—
1665C2×C4—82no—
1666C2×C4—124no—
1667C2×C4—124no—
1668C2×C4—124no—
1669C2×C4—242no—
1670C2×C4—242no—
1671C2×C4—242no—
1672C2×C4—242no—
1673C2×C4—242no—
1674C2×C4—242no—
1675C2×C4C2×D3×D412yes—
1676C2×C4C2×D3×D412yes—
1677C2×C4C2×D3×D412yes—
1678C2×C4#100912yes—
1679C2×C3—42no—
1680C2×C3—81no—
1681C2×C3#348411yescharacteristic
1682C2×C3#348611yescharacteristic
1683C2×C3#349811yescharacteristic
1684C2×C3#353611yescharacteristic
1685C2×C3#353611yescharacteristic
1686C2×C3#353611yescharacteristic
1687C2×C3#353611yescharacteristic
1688D3—42no—
1689D3—42no—
1690D3—42no—
1691D3—81no—
1692D3—81no—
1693C22—22no—
1694C22—22no—
1695C22—22no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—62no—
1708C22—62no—
1709C22—62no—
1710C22—62no—
1711C22—62no—
1712C22—62no—
1713C22—62no—
1714C22—62no—
1715C22—62no—
1716C22—121no—
1717C22—121no—
1718C22—121no—
1719C22—121no—
1720C22—121no—
1721C22—121no—
1722C22—121no—
1723C22—121no—
1724C22—121no—
1725C22—121no—
1726C22—121no—
1727C22—121no—
1728C22—121no—
1729C22—121no—
1730C22—121no—
1731C22—121no—
1732C22—121no—
1733C22—121no—
1734C22—121no—
1735C22—121no—
1736C22—121no—
1737C22—121no—
1738C22—121no—
1739C22—121no—
1740C22—121no—
1741C22—121no—
1742C22—248no—
1743C22C22×D3×D411yescharacteristic
1744C22C2×#100711yescharacteristic
1745C22C2×#100911yescharacteristic
1746C22D3×H(5,𝔽2)11yescharacteristic
1747C22D3×H(5,𝔽2)11yescharacteristic
1748C22D3×H(5,𝔽2)11yescharacteristic
1749C22D3×2−1+411yescharacteristic
1750C4—22no—
1751C4—22no—
1752C4—22no—
1753C4—22no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—62no—
1764C4—62no—
1765C4—62no—
1766C4—62no—
1767C4—62no—
1768C4—121no—
1769C4—121no—
1770C4—121no—
1771C4—121no—
1772C4—121no—
1773C4—121no—
1774C3#4635611yescharacteristic, complemented, Sylow
1775C2—42no—
1776C2—81no—
1777C2—122no—
1778C2—122no—
1779C2—122no—
1780C2—241no—
1781C2—241no—
1782C2#8631611yescharacteristic
1783C2#8656111yescharacteristic
1784C2#8657511yescharacteristic
1785C2#8666211yescharacteristic
1786C2#8675911yescharacteristic
1787C2#8695211yescharacteristic
1788C2#8709511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2692C2
hypercenter#2692D3
hypocenterC3#46356
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2692

Complements

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

NH ≅ G/Ntype
1. C2×#5634C2semidirect
2. C2×#5629C2semidirect
3. C3×#2692C2semidirect
4. #82779C2semidirect
5. #82766C2semidirect
6. #78090C2semidirect
7. #78036C2semidirect
8. #77986C2semidirect
9. #77970C2semidirect
10. #77416C2semidirect
11. #77372C2semidirect
12. #77259C2semidirect
13. #77252C2semidirect
14. #76875C2semidirect
15. #76863C2semidirect
16. #76822C2semidirect
17. #76783C2semidirect
18. #76564C2semidirect
19. #76498C2semidirect
20. #76454C2semidirect
21. #76378C2semidirect
22. #75389C2semidirect
23. #75301C2semidirect
24. #74916C2semidirect
25. #74894C2semidirect
26. #74893C2semidirect
27. #74688C2semidirect
28. #74609C2semidirect
29. #74605C2semidirect
30. #74036C2semidirect
31. #74015C2semidirect
34. C22×#235C22semidirect
36. C2×C3×C22⋊Q8C22semidirect
37. C2×#947C22semidirect
40. C2×#946C22semidirect
41. C2×#946C22semidirect
42. C2×#944C22semidirect
59. C2×#896C22semidirect
60. C2×#896C22semidirect
64. C2×#895C22semidirect
67. C2×D3×C4⋊C4C22semidirect
68. C2×#885C22semidirect
72. C2×#884C22semidirect
73. C2×#884C22semidirect
83. C2×#875C22semidirect
84. C3×#399C22semidirect
85. C3×#398C22semidirect
87. C3×#395C22semidirect
89. C3×#393C22semidirect
90. C3×#391C22semidirect
92. C3×#387C22semidirect
96. C3×#380C22semidirect
100. #5210C22semidirect
102. #4994C22semidirect
103. #4994C22semidirect
105. #4993C22semidirect
106. #4993C22semidirect
107. #4993C22semidirect
112. #4989C22semidirect
114. #4988C22semidirect
115. #4988C22semidirect
116. #4982C22semidirect
117. #4982C22semidirect
118. #4976C22semidirect
119. #4976C22semidirect
120. Dic3×C4⋊C4C22semidirect
121. #4973C22semidirect
122. #4961C22semidirect
123. #4961C22semidirect
124. #4961C22semidirect
131. #4959C22semidirect
138. #4957C22semidirect
144. #4948C22semidirect
145. #4947C22semidirect
149. #4933C22semidirect
151. #4676C22semidirect
152. #4673C22semidirect
153. #4673C22semidirect
158. #4672C22semidirect
159. #4672C22semidirect
166. #4668C22semidirect
167. #4668C22semidirect
168. #4668C22semidirect
169. #4668C22semidirect
170. #4668C22semidirect
171. #4668C22semidirect
172. #4667C22semidirect
182. #4657C22semidirect
183. #4656C22semidirect
184. #4655C22semidirect
185. #4652C22semidirect
186. #4649C22semidirect
187. #4647C22semidirect
188. #4647C22semidirect
189. #4646C22semidirect
196. #2692D3semidirect
379. #896D4semidirect
455. C2×C22⋊Q8C2×D3semidirect
485. #399C2×D3semidirect
489. #398C2×D3semidirect
499. #395C2×D3semidirect
519. #393C2×D3semidirect
530. #391C2×D3semidirect
553. #387C2×D3semidirect
582. #380C2×D3semidirect
1774. C3#46356semidirect

Maximal subgroups

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

subgroupindex
C2×#56342
C2×#56292
C3×#26922
#827792
#827662
#780902
#780362
#779862
#779702
#774162
#773722
#772592
#772522
#768752
#768632
#768222
#767832
#765642
#764982
#764542
#763782
#753892
#753012
#749162
#748942
#748932
#746882
#746092
#746052
#740362
#740152
#463563