Finite Group Databasebeta

← #11259017

Subgroups — #11259017

Order 768.

2550 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5657C211yesmaximal, characteristic, complemented
2C2×#5608C211yesmaximal, characteristic, complemented
3C3×#2708C211yesmaximal, characteristic, complemented
4#82841C211yesmaximal, characteristic, complemented
5#82713C211yesmaximal, characteristic, complemented
6#78356C211yesmaximal, characteristic, complemented
7#78144C211yesmaximal, characteristic, complemented
8#78006C211yesmaximal, characteristic, complemented
9#77952C211yesmaximal, characteristic, complemented
10#77689C211yesmaximal, characteristic, complemented
11#77580C211yesmaximal, characteristic, complemented
12#77579C211yesmaximal, characteristic, complemented
13#77513C211yesmaximal, characteristic, complemented
14#77135C211yesmaximal, characteristic, complemented
15#77113C211yesmaximal, characteristic, complemented
16#77011C211yesmaximal, characteristic, complemented
17#77009C211yesmaximal, characteristic, complemented
18#74893C211yesmaximal, characteristic, complemented
19#74885C211yesmaximal, characteristic, complemented
20#74877C211yesmaximal, characteristic, complemented
21#74801C211yesmaximal, characteristic, complemented
22#74720C211yesmaximal, characteristic, complemented
23#74692C211yesmaximal, characteristic, complemented
24#74627C211yesmaximal, characteristic, complemented
25#74606C211yesmaximal, characteristic, complemented
26#74537C211yesmaximal, characteristic, complemented
27#74516C211yesmaximal, characteristic, complemented
28#74421C211yesmaximal, characteristic, complemented
29#74404C211yesmaximal, characteristic, complemented
30#73896C211yesmaximal, characteristic, complemented
31#73895C211yesmaximal, characteristic, complemented
32#46366—31nomaximal, Sylow
33C22×#237C2211yescharacteristic
34C22×#235C2211yescharacteristic, complemented
35C2×C3×#123C2211yescharacteristic
36C2×C3×#121C2211yescharacteristic
37C2×#939C2211yescharacteristic
38C2×#939C2211yescharacteristic
39C2×#939C2211yescharacteristic, complemented
40C2×#938C2211yescharacteristic
41C2×#938C2211yescharacteristic
42C2×#938C2211yescharacteristic, complemented
43C2×#937C2211yescharacteristic
44C2×#937C2211yescharacteristic
45C2×#930C2211yescharacteristic
46C2×#929C2211yescharacteristic, complemented
47C2×C4×#67C2211yescharacteristic
48C2×C4×#67C2211yescharacteristic
49C22×(C2×D3)⋊C4C2211yescharacteristic
50C2×#924C2211yescharacteristic, complemented
51C22×Dic3⋊C4C2211yescharacteristic, complemented
52#5657—28no—
53#5608—28no—
54C2×#898C2211yescharacteristic
55C2×#897C2211yescharacteristic
56C2×#897C2211yescharacteristic, complemented
57C2×#896C2211yescharacteristic
58C2×#896C2211yescharacteristic, complemented
59C2×#895C2211yescharacteristic
60C2×#894C2211yescharacteristic
61C2×#893C2211yescharacteristic
62C2×#893C2211yescharacteristic
63C2×D3×C4⋊C4C2211yescharacteristic, complemented
64C2×#885C2211yescharacteristic
65C2×#885C2211yescharacteristic
66C2×#884C2211yescharacteristic
67C2×#884C2211yescharacteristic
68C2×#884C2211yescharacteristic
69C2×#884C2211yescharacteristic
70C2×#884C2211yescharacteristic, complemented
71C2×#882C2211yescharacteristic
72C2×#882C2211yescharacteristic
73C2×#67⋊C4C2211yescharacteristic, complemented
74C2×D3×C22⋊C4C2211yescharacteristic
75C2×#879C2211yescharacteristic
76C2×#878C2211yescharacteristic
77C2×#878C2211yescharacteristic, complemented
78C3×#400C2211yescharacteristic, complemented
79C3×#398C2211yescharacteristic, complemented
80C3×#397C2211yescharacteristic
81C3×#397C2211yescharacteristic, complemented
82C3×#394C2211yescharacteristic
83C3×#394C2211yescharacteristic, complemented
84C3×#386C2211yescharacteristic
85C3×#386C2211yescharacteristic
86C3×#386C2211yescharacteristic, complemented
87C3×#385C2211yescharacteristic, complemented
88C3×#385C2211yescharacteristic, complemented
89C3×#385C2211yescharacteristic, complemented
90C3×#380C2211yescharacteristic
91#5223C2211yescharacteristic
92#5222C2211yescharacteristic
93#5220C2211yescharacteristic
94#5213C2211yescharacteristic
95#5213C2211yescharacteristic
96#5213C2211yescharacteristic
97#5210C2211yescharacteristic
98#4994C2211yescharacteristic
99#4994C2211yescharacteristic
100#4993C2211yescharacteristic
101#4993C2211yescharacteristic
102#4993C2211yescharacteristic
103#4992C2211yescharacteristic
104#4992C2211yescharacteristic, complemented
105#4992C2211yescharacteristic, complemented
106#4991C2211yescharacteristic, complemented
107#4989C2211yescharacteristic
108#4989C2211yescharacteristic, complemented
109#4989C2211yescharacteristic, complemented
110#4982C2211yescharacteristic, complemented
111#4979C2211yescharacteristic, complemented
112#4979C2211yescharacteristic, complemented
113#4979C2211yescharacteristic, complemented
114#4979C2211yescharacteristic, complemented
115#4976C2211yescharacteristic, complemented
116#4960C2211yescharacteristic
117#4960C2211yescharacteristic
118#4960C2211yescharacteristic
119#4960C2211yescharacteristic
120#4959C2211yescharacteristic
121#4959C2211yescharacteristic
122#4959C2211yescharacteristic
123#4959C2211yescharacteristic
124#4959C2211yescharacteristic, complemented
125#4959C2211yescharacteristic, complemented
126#4958C2211yescharacteristic
127#4958C2211yescharacteristic
128#4958C2211yescharacteristic
129#4958C2211yescharacteristic, complemented
130#4957C2211yescharacteristic
131#4957C2211yescharacteristic
132#4957C2211yescharacteristic, complemented
133#4956C2211yescharacteristic
134#4956C2211yescharacteristic
135#4956C2211yescharacteristic, complemented
136#4956C2211yescharacteristic, complemented
137#4955C2211yescharacteristic
138#4952C2211yescharacteristic
139#4952C2211yescharacteristic, complemented
140#4948C2211yescharacteristic, complemented
141#4947C2211yescharacteristic, complemented
142#4946C2211yescharacteristic
143#4946C2211yescharacteristic
144#4946C2211yescharacteristic, complemented
145#4945C2211yescharacteristic
146#4945C2211yescharacteristic, complemented
147#4944C2211yescharacteristic, complemented
148#4943C2211yescharacteristic
149#4943C2211yescharacteristic, complemented
150#4676C2211yescharacteristic
151#4676C2211yescharacteristic
152#4675C2211yescharacteristic
153#4673C2211yescharacteristic
154#4673C2211yescharacteristic
155#4673C2211yescharacteristic
156#4672C2211yescharacteristic
157#4672C2211yescharacteristic
158#4671C2211yescharacteristic
159#4669C2211yescharacteristic
160#4668C2211yescharacteristic
161#4668C2211yescharacteristic
162#4668C2211yescharacteristic, complemented
163#4667C2211yescharacteristic
164#4667C2211yescharacteristic, complemented
165#4667C2211yescharacteristic, complemented
166#4667C2211yescharacteristic, complemented
167#4667C2211yescharacteristic, complemented
168#4666C2211yescharacteristic, complemented
169#4665C2211yescharacteristic
170#4665C2211yescharacteristic
171#4665C2211yescharacteristic
172#4665C2211yescharacteristic
173#4665C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic, complemented
177D3×#95C2211yescharacteristic, complemented
178#4658C2211yescharacteristic, complemented
179#4657C2211yescharacteristic, complemented
180#4657C2211yescharacteristic, complemented
181#4655C2211yescharacteristic, complemented
182#4655C2211yescharacteristic, complemented
183#4654C2211yescharacteristic, complemented
184#4653C2211yescharacteristic, complemented
185#4652C2211yescharacteristic, complemented
186#4650C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#538—31no—
191C2×#537—31no—
192#2814—31no—
193#2723—31no—
194#2708D311yescharacteristic, complemented
195#2700—31no—
196#2698—31no—
197#2692—31no—
198#2691—31no—
199#2688—31no—
200#2686—31no—
201#2676—31no—
202#2671—31no—
203#2668—31no—
204#2668—31no—
205#2564—31no—
206#2535—31no—
207#2481—31no—
208#2464—31no—
209#2449—31no—
210#2449—31no—
211#2437—31no—
212#2430—31no—
213#2427—31no—
214#2424—31no—
215#2424—31no—
216#2416—31no—
217#2407—31no—
218#2406—31no—
219#2404—31no—
220#2325—31no—
221C24×D3C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C23×Dic3C2311yescharacteristic
239C23×Dic3C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C2×#237—24no—
242C2×#237—42no—
243C2×#237—42no—
244C2×#235—24no—
245C2×#235—42no—
246C2×#235—42no—
247C22×D12C2311yescharacteristic
248C22×D12C2311yescharacteristic
249C22×D12C2311yescharacteristic
250C22×D12C2311yescharacteristic
251C22×D12C2311yescharacteristic
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×#123—24no—
264C3×#121—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×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294#939—24no—
295#939—24no—
296#939—42no—
297#938—24no—
298#938—24no—
299#938D418yescomplemented
300#937—24no—
301#937—42no—
302#930—24no—
303#929—42no—
304C4×#67—24no—
305C4×#67—42no—
306C2×(C2×D3)⋊C4—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×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×C4⋊Dic3C2311yescharacteristic
338C2×C4⋊Dic3C2311yescharacteristic
339C2×C4⋊Dic3C2311yescharacteristic
340C2×C4⋊Dic3C2311yescharacteristic
341#924—24no—
342C2×Dic3⋊C4—42no—
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×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×C4×Dic3C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364C2×C4×Dic3C2311yescharacteristic
365#898—24no—
366#897—24no—
367#897—24no—
368#896—42no—
369#896—42no—
370#895—42no—
371#894—24no—
372#893—24no—
373#893—42no—
374D3×C4⋊C4—24no—
375#885—24no—
376#885—24no—
377#884—24no—
378#884—24no—
379#884—24no—
380#884—42no—
381#884—42no—
382#882—24no—
383#882—42no—
384#67⋊C4—42no—
385D3×C22⋊C4—24no—
386#879—24no—
387#878—24no—
388#878—24no—
389C3×#95C2311yescharacteristic
390C3×#95C2311yescharacteristic
391C3×#95C2311yescharacteristic
392C3×#95C2311yescharacteristic
393C3×#95C2311yescharacteristic
394C3×#95C2311yescharacteristic
395C3×#95C2311yescharacteristic
396C3×#95C2311yescharacteristic
397C3×#95C2311yescharacteristic
398C3×#95C2311yescharacteristic
399C3⋊#95C2311yescharacteristic
400C3⋊#95C2311yescharacteristic
401C3⋊#95C2311yescharacteristic
402C3⋊#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C22×#41—31no—
424C22×#41—31no—
425#538—68no—
426#537—68no—
427C2×#126—31no—
428C2×#126—31no—
429C2×#124—31no—
430C2×#124—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123C2×D311yescharacteristic
434C2×C22⋊Q8—31no—
435C2×C22⋊Q8—31no—
436C2×C22⋊Q8—31no—
437C2×C22⋊Q8—31no—
438C2×C22⋊Q8—31no—
439C2×C22⋊Q8—31no—
440C2×C22⋊Q8—31no—
441C2×#121—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121C2×D311yescharacteristic
455C2×#120—31no—
456C2×#120—31no—
457C2×#120—31no—
458C2×#120—31no—
459C2×C4×D4—31no—
460C2×C4×D4—31no—
461C2×C4×D4—31no—
462C2×C4×D4—31no—
463C2×C4×D4—31no—
464C22×C4⋊C4—31no—
465C22×C4⋊C4—31no—
466C22×C22⋊C4—31no—
467C22×C22⋊C4—31no—
468#400—31no—
469#400C2×D311yescharacteristic, complemented
470#399—31no—
471#399—31no—
472#399—31no—
473#398—31no—
474#398—31no—
475#398—31no—
476#398C2×D311yescharacteristic, complemented
477#397—31no—
478#397—31no—
479#397—31no—
480#397—31no—
481#397—31no—
482#397—31no—
483#397C2×D311yescharacteristic
484#397C2×D311yescharacteristic, complemented
485#396—31no—
486#396—31no—
487#396—31no—
488#396—31no—
489#396—31no—
490#395—31no—
491#395—31no—
492#395—31no—
493#395—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#394C2×D311yescharacteristic
505#394C2×D311yescharacteristic, complemented
506#393—31no—
507#393—31no—
508#393—31no—
509#393—31no—
510#392—31no—
511#392—31no—
512#392—31no—
513#392—31no—
514#392—31no—
515#392—31no—
516#391—31no—
517#391—31no—
518#390—31no—
519#390—31no—
520#390—31no—
521#389—31no—
522#389—31no—
523#388—31no—
524#388—31no—
525#388—31no—
526#388—31no—
527#387—31no—
528#387—31no—
529#387—31no—
530#387—31no—
531#387—31no—
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386C2×D311yescharacteristic
553#386C2×D311yescharacteristic
554#386C2×D311yescharacteristic, complemented
555#385—31no—
556#385—31no—
557#385—31no—
558#385—31no—
559#385—31no—
560#385—31no—
561#385—31no—
562#385—31no—
563#385—31no—
564#385—31no—
565#385C2×D311yescharacteristic, complemented
566#385C2×D311yescharacteristic, complemented
567#385C2×D311yescharacteristic, complemented
568#382—31no—
569#381—31no—
570#381—31no—
571#380—31no—
572#380—31no—
573#380—31no—
574#380—31no—
575#380—31no—
576#380C2×D311yescharacteristic
577#379—31no—
578C4×C22⋊C4—31no—
579C2×#95—31no—
580C24×C3C2411yescharacteristic
581C24×C3C2411yescharacteristic
582C24×C3C2411yescharacteristic
583C23×D3—22no—
584C23×D3—22no—
585C23×D3—41no—
586C23×D3—41no—
587C23×D3—41no—
588C23×D3—41no—
589C23×D3—41no—
590C23×D3C2411yescharacteristic
591C23×D3C2411yescharacteristic
592C23×D3C2411yescharacteristic
593C23×D3C2411yescharacteristic
594C2×C3×D4—22no—
595C2×C3×D4—22no—
596C2×C3×D4—41no—
597C2×C3×D4—41no—
598C2×C3×D4—41no—
599C2×C3×D4—41no—
600C2×C3×D4—41no—
601C2×C3×D4—41no—
602C2×C3×D4C2×D414yes—
603C22×C3×C4—22no—
604C22×C3×C4—22no—
605C22×C3×C4—41no—
606C22×C3×C4—41no—
607C22×C3×C4—41no—
608C22×C3×C4—41no—
609C22×C3×C4—41no—
610C22×C3×C4—41no—
611C22×C3×C4—41no—
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
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
624C2×#67—22no—
625C2×#67—22no—
626C2×#67—22no—
627C2×#67—22no—
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—41no—
638C2×#67—41no—
639C2×#67—41no—
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—
652C2×#67C2×D414yes—
653C2×#67C2×D414yes—
654C22×Dic3—22no—
655C22×Dic3—22no—
656C22×Dic3—22no—
657C22×Dic3—22no—
658C22×Dic3—22no—
659C22×Dic3—41no—
660C22×Dic3—41no—
661C22×Dic3—41no—
662C22×Dic3—41no—
663C22×Dic3C2411yescharacteristic
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666C22×Dic3C2411yescharacteristic
667C22×Dic3C2411yescharacteristic
668C22×Dic3C2411yescharacteristic
669C22×Dic3C2411yescharacteristic
670C22×Dic3C2411yescharacteristic
671C22×Dic3C2411yescharacteristic
672C22×Dic3C2411yescharacteristic
673C22×Dic3C2411yescharacteristic
674C22×Dic3C2411yescharacteristic
675#237—416no—
676#235—416no—
677C2×D12—22no—
678C2×D12—22no—
679C2×D12—22no—
680C2×D12—22no—
681C2×D12—22no—
682C2×D12—22no—
683C2×D12—22no—
684C2×D12—22no—
685C2×D12—41no—
686C2×D12—41no—
687C2×D12—41no—
688C2×D12—41no—
689C2×D12—41no—
690C2×D12—41no—
691C2×D12—41no—
692C2×C4×D3—22no—
693C2×C4×D3—22no—
694C2×C4×D3—22no—
695C2×C4×D3—22no—
696C2×C4×D3—22no—
697C2×C4×D3—22no—
698C2×C4×D3—22no—
699C2×C4×D3—22no—
700C2×C4×D3—41no—
701C2×C4×D3—41no—
702C2×C4×D3—41no—
703C2×C4×D3—41no—
704C2×C4×D3—41no—
705C2×C4×D3—41no—
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×D3C2×D414yes—
716C2×Dic6—22no—
717C2×Dic6—22no—
718C2×Dic6—22no—
719C2×Dic6—22no—
720C2×Dic6—41no—
721C2×Dic6—41no—
722C2×Dic6—41no—
723C2×Dic6—41no—
724C2×Dic6—41no—
725C3×C4⋊C4—22no—
726C3×C4⋊C4—22no—
727C3×C4⋊C4—22no—
728C3×C4⋊C4—41no—
729C3×C4⋊C4—41no—
730C3×C4⋊C4—41no—
731C3×C4⋊C4—41no—
732C3×C22⋊C4—22no—
733C3×C22⋊C4—22no—
734C3×C22⋊C4—22no—
735C3×C22⋊C4—22no—
736C3×C22⋊C4—22no—
737C3×C22⋊C4—41no—
738C3×C22⋊C4—41no—
739C3×C22⋊C4—41no—
740C3×C22⋊C4—41no—
741C3×C22⋊C4—41no—
742C3×C22⋊C4—41no—
743C3×C22⋊C4—41no—
744#217—22no—
745#217—22no—
746#217—22no—
747#217—22no—
748#217—41no—
749#217—41no—
750#217—41no—
751#217—41no—
752#217C2×D414yes—
753#217C2×D414yes—
754(C2×D3)⋊C4—22no—
755(C2×D3)⋊C4—22no—
756(C2×D3)⋊C4—22no—
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—41no—
771(C2×D3)⋊C4—41no—
772(C2×D3)⋊C4—41no—
773(C2×D3)⋊C4—41no—
774(C2×D3)⋊C4—41no—
775(C2×D3)⋊C4—41no—
776(C2×D3)⋊C4—41no—
777(C2×D3)⋊C4—41no—
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—
784C4⋊Dic3—22no—
785C4⋊Dic3—22no—
786C4⋊Dic3—22no—
787C4⋊Dic3C2×D414yes—
788Dic3⋊C4—22no—
789Dic3⋊C4—22no—
790Dic3⋊C4—22no—
791Dic3⋊C4—22no—
792Dic3⋊C4—22no—
793Dic3⋊C4—22no—
794Dic3⋊C4—22no—
795Dic3⋊C4—22no—
796Dic3⋊C4—22no—
797Dic3⋊C4—22no—
798Dic3⋊C4—41no—
799Dic3⋊C4—41no—
800Dic3⋊C4—41no—
801Dic3⋊C4—41no—
802Dic3⋊C4—41no—
803Dic3⋊C4—41no—
804Dic3⋊C4—41no—
805Dic3⋊C4—41no—
806C4×Dic3—22no—
807C4×Dic3—22no—
808C4×Dic3—22no—
809C4×Dic3—41no—
810C25—31no—
811C2×#41—64no—
812C2×#41—64no—
813C2×#41—122no—
814C2×#41—122no—
815C2×#41—122no—
816C2×#41—122no—
817C22×Q8—31no—
818C22×Q8—31no—
819C22×Q8—31no—
820C22×D4—31no—
821C22×D4—31no—
822C22×D4—31no—
823C22×D4—31no—
824C22×D4—31no—
825C22×D4—31no—
826C22×D4—31no—
827C22×D4—31no—
828C22×D4—31no—
829C22×D4—31no—
830C22×D4—31no—
831C22×D4—31no—
832C22×D4—31no—
833C22×D4—31no—
834C22×D4—31no—
835C22×D4C22×D311yescharacteristic
836C22×D4C22×D311yescharacteristic
837C22×D4C22×D311yescharacteristic
838C23×C4—31no—
839C23×C4—31no—
840C23×C4—31no—
841C23×C4—31no—
842C23×C4—31no—
843C23×C4—31no—
844C23×C4—31no—
845C23×C4—31no—
846C23×C4—31no—
847C23×C4—31no—
848C23×C4—31no—
849C23×C4C22×D311yescharacteristic
850C23×C4C22×D311yescharacteristic
851C23×C4C22×D311yescharacteristic
852#126—64no—
853#126—64no—
854#124—64no—
855#124—64no—
856#123—24no—
857#123—64no—
858#123—122no—
859C22⋊Q8—64no—
860C22⋊Q8—64no—
861C22⋊Q8—64no—
862C22⋊Q8—64no—
863C22⋊Q8—64no—
864C22⋊Q8—122no—
865C22⋊Q8—122no—
866#121—24no—
867#121—38no—
868#121—64no—
869#121—64no—
870#121—64no—
871#121—64no—
872#121—64no—
873#121—64no—
874#121—64no—
875#121—64no—
876#121—122no—
877#121—122no—
878#121—122no—
879#121—122no—
880#120—64no—
881#120—64no—
882#120—122no—
883#120—122no—
884C4×D4—64no—
885C4×D4—64no—
886C4×D4—122no—
887C4×D4—122no—
888C4×D4—122no—
889C2×C4⋊C4—31no—
890C2×C4⋊C4—31no—
891C2×C4⋊C4—31no—
892C2×C4⋊C4—31no—
893C2×C4⋊C4—31no—
894C2×C4⋊C4—31no—
895C2×C4⋊C4—31no—
896C2×C4⋊C4—31no—
897C2×C4⋊C4—31no—
898C2×C4⋊C4—31no—
899C2×C4⋊C4—31no—
900C2×C4⋊C4—31no—
901C2×C4⋊C4—31no—
902C2×C4⋊C4—31no—
903C2×C4⋊C4—31no—
904C2×C4⋊C4—31no—
905C2×C4⋊C4—31no—
906C2×C4⋊C4—31no—
907C2×C4⋊C4—31no—
908C2×C4⋊C4—31no—
909C2×C4⋊C4—31no—
910C2×C4⋊C4—31no—
911C2×C4⋊C4—64no—
912C2×C4⋊C4—122no—
913C2×C4⋊C4C22×D311yescharacteristic
914C2×C4⋊C4C22×D311yescharacteristic
915C2×C4⋊C4C22×D311yescharacteristic
916C2×C4⋊C4C22×D311yescharacteristic
917C2×C4⋊C4C22×D311yescharacteristic
918C2×C4⋊C4C22×D311yescharacteristic
919C2×C4⋊C4C22×D311yescharacteristic
920C2×C22⋊C4—31no—
921C2×C22⋊C4—31no—
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊C4—31no—
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—64no—
961C2×C22⋊C4—122no—
962C2×C22⋊C4C22×D311yescharacteristic
963C2×C22⋊C4C22×D311yescharacteristic
964C2×C22⋊C4C22×D311yescharacteristic
965C2×C22⋊C4C22×D311yescharacteristic
966C2×C22⋊C4C22×D311yescharacteristic
967C2×C22⋊C4C22×D311yescharacteristic
968C2×C22⋊C4C22×D311yescharacteristic
969C2×C22⋊C4C22×D311yescharacteristic
970C2×C22⋊C4C22×D311yescharacteristic
971C2×C22⋊C4C22×D311yescharacteristic
972C2×C22⋊C4C22×D311yescharacteristic
973C2×C22⋊C4C22×D311yescharacteristic
974C2×C42—31no—
975C2×C42—31no—
976C2×C42—31no—
977C2×C42—31no—
978#95—31no—
979#95—31no—
980#95—31no—
981#95—31no—
982#95—31no—
983#95—31no—
984#95—31no—
985#95—31no—
986#95—31no—
987#95—31no—
988#95—31no—
989#95—31no—
990#95—31no—
991#95—31no—
992#95—31no—
993#95—31no—
994#95—31no—
995#95—31no—
996#95—31no—
997#95—31no—
998#95—31no—
999#95—31no—
1000#95—31no—
1001#95—31no—
1002#95C22×D311yescharacteristic
1003#95C22×D311yescharacteristic
1004#95C22×D311yescharacteristic
1005#95C22×D311yescharacteristic
1006#95C22×D311yescharacteristic
1007#95C22×D311yescharacteristic
1008#95C22×D311yescharacteristic
1009#95C22×D311yescharacteristic
1010#95C22×D311yescharacteristic
1011#95C22×D311yescharacteristic
1012C23×C3—21no—
1013C23×C3—21no—
1014C23×C3—21no—
1015C23×C3—21no—
1016C23×C3—21no—
1017C23×C3—21no—
1018C23×C3—21no—
1019C23×C3—21no—
1020C23×C3—21no—
1021C23×C3—21no—
1022C23×C3—21no—
1023C23×C3—21no—
1024C23×C3—21no—
1025C23×C3—21no—
1026C23×C3—21no—
1027C23×C3—21no—
1028C23×C3—21no—
1029C23×C3—21no—
1030C23×C3—21no—
1031C23×C3C22×D412yes—
1032C23×C3C22×D412yes—
1033C23×C3C2511yescharacteristic
1034C22×D3—21no—
1035C22×D3—21no—
1036C22×D3—21no—
1037C22×D3—21no—
1038C22×D3—21no—
1039C22×D3—21no—
1040C22×D3—21no—
1041C22×D3—21no—
1042C22×D3—21no—
1043C22×D3—21no—
1044C22×D3—21no—
1045C22×D3—21no—
1046C22×D3—21no—
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—44no—
1060C22×D3—44no—
1061C22×D3—82no—
1062C22×D3—82no—
1063C22×D3—82no—
1064C22×D3—82no—
1065C22×D3—82no—
1066C22×D3C22×D412yes—
1067C22×D3H(5,𝔽2)12yes—
1068C22×D32−1+412yes—
1069C3×D4—44no—
1070C3×D4—82no—
1071C3×D4—82no—
1072C2×C3×C4—21no—
1073C2×C3×C4—21no—
1074C2×C3×C4—21no—
1075C2×C3×C4—21no—
1076C2×C3×C4—21no—
1077C2×C3×C4—21no—
1078C2×C3×C4—21no—
1079C2×C3×C4—21no—
1080C2×C3×C4—21no—
1081C2×C3×C4—21no—
1082C2×C3×C4—21no—
1083C2×C3×C4—21no—
1084C2×C3×C4—21no—
1085C2×C3×C4—21no—
1086C2×C3×C4—21no—
1087C2×C3×C4—21no—
1088C2×C3×C4—21no—
1089C2×C3×C4—21no—
1090C2×C3×C4—21no—
1091C2×C3×C4—21no—
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—44no—
1108C2×C3×C4—82no—
1109C2×C3×C4—82no—
1110C2×C3×C4C22×D412yes—
1111#67—44no—
1112#67—44no—
1113#67—44no—
1114#67—44no—
1115#67—44no—
1116#67—44no—
1117#67—44no—
1118#67—82no—
1119#67—82no—
1120#67—82no—
1121C2×Dic3—21no—
1122C2×Dic3—21no—
1123C2×Dic3—21no—
1124C2×Dic3—21no—
1125C2×Dic3—21no—
1126C2×Dic3—21no—
1127C2×Dic3—21no—
1128C2×Dic3—21no—
1129C2×Dic3—21no—
1130C2×Dic3—21no—
1131C2×Dic3—21no—
1132C2×Dic3—21no—
1133C2×Dic3—21no—
1134C2×Dic3—21no—
1135C2×Dic3—21no—
1136C2×Dic3—21no—
1137C2×Dic3—21no—
1138C2×Dic3—21no—
1139C2×Dic3—21no—
1140C2×Dic3—21no—
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—44no—
1153C2×Dic3—44no—
1154C2×Dic3—44no—
1155C2×Dic3C22×D412yes—
1156C2×Dic3C22×D412yes—
1157C2×Dic3C22×D412yes—
1158C2×Dic3H(5,𝔽2)12yes—
1159C2×Dic3H(5,𝔽2)12yes—
1160D12—44no—
1161D12—44no—
1162D12—44no—
1163D12—82no—
1164D12—82no—
1165C4×D3—28no—
1166C4×D3—44no—
1167C4×D3—82no—
1168C4×D3—82no—
1169C4×D3—82no—
1170C4×D3—82no—
1171C4×D3—82no—
1172C4×D3—82no—
1173Dic6—44no—
1174Dic6—44no—
1175Dic6—82no—
1176C24—31no—
1177C24—31no—
1178C24—31no—
1179C24—31no—
1180C24—62no—
1181C24—62no—
1182C24—121no—
1183C24—121no—
1184C24—121no—
1185C24—121no—
1186C24—121no—
1187C24C23×D311yescharacteristic
1188C24C23×D311yescharacteristic
1189C24C23×D311yescharacteristic
1190#41—1216no—
1191#41—1216no—
1192C2×Q8—62no—
1193C2×Q8—62no—
1194C2×Q8—62no—
1195C2×Q8—62no—
1196C2×Q8—121no—
1197C2×Q8—121no—
1198C2×Q8—121no—
1199C2×Q8—121no—
1200C2×Q8—121no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—34no—
1204C2×D4—34no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—62no—
1212C2×D4—62no—
1213C2×D4—62no—
1214C2×D4—62no—
1215C2×D4—62no—
1216C2×D4—62no—
1217C2×D4—62no—
1218C2×D4—62no—
1219C2×D4—62no—
1220C2×D4—62no—
1221C2×D4—62no—
1222C2×D4—62no—
1223C2×D4—62no—
1224C2×D4—62no—
1225C2×D4—62no—
1226C2×D4—62no—
1227C2×D4—62no—
1228C2×D4—62no—
1229C2×D4—62no—
1230C2×D4—62no—
1231C2×D4—62no—
1232C2×D4—121no—
1233C2×D4—121no—
1234C2×D4—121no—
1235C2×D4—121no—
1236C2×D4—121no—
1237C2×D4—121no—
1238C2×D4—121no—
1239C2×D4—121no—
1240C2×D4—121no—
1241C2×D4—121no—
1242C2×D4—121no—
1243C2×D4—121no—
1244C2×D4—121no—
1245C2×D4—121no—
1246C2×D4—121no—
1247C2×D4—121no—
1248C2×D4—121no—
1249C2×D4—121no—
1250C2×D4—121no—
1251C2×D4—121no—
1252C2×D4—121no—
1253C2×D4—121no—
1254C2×D4D3×D414yes—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—31no—
1258C22×C4—31no—
1259C22×C4—31no—
1260C22×C4—31no—
1261C22×C4—31no—
1262C22×C4—34no—
1263C22×C4—31no—
1264C22×C4—31no—
1265C22×C4—31no—
1266C22×C4—31no—
1267C22×C4—31no—
1268C22×C4—31no—
1269C22×C4—31no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—62no—
1278C22×C4—62no—
1279C22×C4—62no—
1280C22×C4—62no—
1281C22×C4—62no—
1282C22×C4—62no—
1283C22×C4—62no—
1284C22×C4—62no—
1285C22×C4—62no—
1286C22×C4—62no—
1287C22×C4—62no—
1288C22×C4—62no—
1289C22×C4—62no—
1290C22×C4—121no—
1291C22×C4—121no—
1292C22×C4—121no—
1293C22×C4—121no—
1294C22×C4—121no—
1295C22×C4—121no—
1296C22×C4—121no—
1297C22×C4—121no—
1298C22×C4—121no—
1299C22×C4—121no—
1300C22×C4—121no—
1301C22×C4—121no—
1302C22×C4—121no—
1303C22×C4—121no—
1304C22×C4—121no—
1305C22×C4—121no—
1306C22×C4—121no—
1307C22×C4—121no—
1308C22×C4—121no—
1309C22×C4C23×D311yescharacteristic
1310C22×C4C23×D311yescharacteristic
1311C22×C4C23×D311yescharacteristic
1312C22×C4C23×D311yescharacteristic
1313C22×C4C23×D311yescharacteristic
1314C22×C4C23×D311yescharacteristic
1315C22×C4C23×D311yescharacteristic
1316C22×C4C23×D311yescharacteristic
1317C22×C4C23×D311yescharacteristic
1318C22×C4C23×D311yescharacteristic
1319C22×C4C23×D311yescharacteristic
1320C22×C4C23×D311yescharacteristic
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—34no—
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—62no—
1330C4⋊C4—62no—
1331C4⋊C4—62no—
1332C4⋊C4—62no—
1333C4⋊C4—62no—
1334C4⋊C4—62no—
1335C4⋊C4—62no—
1336C4⋊C4—62no—
1337C4⋊C4—62no—
1338C4⋊C4—62no—
1339C4⋊C4—62no—
1340C4⋊C4—62no—
1341C4⋊C4—62no—
1342C4⋊C4—121no—
1343C4⋊C4—121no—
1344C4⋊C4—121no—
1345C4⋊C4—121no—
1346C4⋊C4—121no—
1347C4⋊C4—121no—
1348C4⋊C4—121no—
1349C4⋊C4—121no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—34no—
1356C22⋊C4—34no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—62no—
1365C22⋊C4—62no—
1366C22⋊C4—62no—
1367C22⋊C4—62no—
1368C22⋊C4—62no—
1369C22⋊C4—62no—
1370C22⋊C4—62no—
1371C22⋊C4—62no—
1372C22⋊C4—62no—
1373C22⋊C4—62no—
1374C22⋊C4—62no—
1375C22⋊C4—62no—
1376C22⋊C4—62no—
1377C22⋊C4—62no—
1378C22⋊C4—62no—
1379C22⋊C4—62no—
1380C22⋊C4—62no—
1381C22⋊C4—62no—
1382C22⋊C4—62no—
1383C22⋊C4—62no—
1384C22⋊C4—121no—
1385C22⋊C4—121no—
1386C22⋊C4—121no—
1387C22⋊C4—121no—
1388C22⋊C4—121no—
1389C22⋊C4—121no—
1390C22⋊C4—121no—
1391C22⋊C4—121no—
1392C22⋊C4—121no—
1393C22⋊C4—121no—
1394C22⋊C4—121no—
1395C22⋊C4—121no—
1396C22⋊C4—121no—
1397C22⋊C4—121no—
1398C22⋊C4—121no—
1399C22⋊C4—121no—
1400C22⋊C4—121no—
1401C22⋊C4—121no—
1402C42—62no—
1403C42—62no—
1404C42—62no—
1405C42—121no—
1406C22×C3—22no—
1407C22×C3—22no—
1408C22×C3—22no—
1409C22×C3—22no—
1410C22×C3—22no—
1411C22×C3—22no—
1412C22×C3—41no—
1413C22×C3—41no—
1414C22×C3—41no—
1415C22×C3—41no—
1416C22×C3—41no—
1417C22×C3—41no—
1418C22×C3—41no—
1419C22×C3—41no—
1420C22×C3—41no—
1421C22×C3—41no—
1422C22×C3—41no—
1423C22×C3—41no—
1424C22×C3—41no—
1425C22×C3—41no—
1426C22×C3—41no—
1427C22×C3C23×D411yescharacteristic
1428C22×C3C2×H(5,𝔽2)11yescharacteristic
1429C22×C3C2×H(5,𝔽2)11yescharacteristic
1430C22×C3C2×H(5,𝔽2)11yescharacteristic
1431C22×C3C2×2−1+411yescharacteristic
1432C22×C3#58511yescharacteristic
1433C22×C3#58511yescharacteristic
1434C2×D3—22no—
1435C2×D3—22no—
1436C2×D3—22no—
1437C2×D3—22no—
1438C2×D3—22no—
1439C2×D3—22no—
1440C2×D3—22no—
1441C2×D3—22no—
1442C2×D3—22no—
1443C2×D3—41no—
1444C2×D3—41no—
1445C2×D3—41no—
1446C2×D3—41no—
1447C2×D3—41no—
1448C2×D3—41no—
1449C2×D3—41no—
1450C2×D3—41no—
1451C2×D3—41no—
1452C2×D3—41no—
1453C2×D3—41no—
1454C2×D3—41no—
1455C2×D3—41no—
1456C2×D3—41no—
1457C2×D3—41no—
1458C2×D3—41no—
1459C2×D3—41no—
1460C2×D3—41no—
1461C2×D3—41no—
1462C2×D3—88no—
1463C3×C4—22no—
1464C3×C4—41no—
1465C3×C4—41no—
1466C3×C4—41no—
1467C3×C4—41no—
1468C3×C4—41no—
1469C3×C4—41no—
1470C3×C4—41no—
1471C3×C4—41no—
1472C3×C4—41no—
1473C3×C4—41no—
1474C3×C4—41no—
1475Dic3—22no—
1476Dic3—22no—
1477Dic3—22no—
1478Dic3—22no—
1479Dic3—22no—
1480Dic3—41no—
1481Dic3—41no—
1482Dic3—41no—
1483Dic3—41no—
1484Dic3—41no—
1485Dic3—41no—
1486Dic3—41no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—32no—
1507C23—32no—
1508C23—32no—
1509C23—61no—
1510C23—61no—
1511C23—61no—
1512C23—61no—
1513C23—61no—
1514C23—61no—
1515C23—61no—
1516C23—61no—
1517C23—61no—
1518C23—61no—
1519C23—61no—
1520C23—61no—
1521C23—61no—
1522C23—61no—
1523C23—61no—
1524C23—61no—
1525C23—61no—
1526C23—61no—
1527C23—61no—
1528C23—61no—
1529C23—61no—
1530C23—61no—
1531C23—61no—
1532C23—61no—
1533C23—61no—
1534C23—124no—
1535C23—124no—
1536C23—242no—
1537C23—242no—
1538C23—242no—
1539C23—242no—
1540C23—242no—
1541C23C2×D3×D412yes—
1542C23C2×D3×D412yes—
1543C23C24×D311yescharacteristic
1544Q8—124no—
1545Q8—124no—
1546Q8—242no—
1547D4—44no—
1548D4—82no—
1549D4—82no—
1550D4—124no—
1551D4—124no—
1552D4—124no—
1553D4—124no—
1554D4—124no—
1555D4—124no—
1556D4—124no—
1557D4—124no—
1558D4—124no—
1559D4—124no—
1560D4—242no—
1561D4—242no—
1562D4—242no—
1563D4—242no—
1564D4—242no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—32no—
1601C2×C4—32no—
1602C2×C4—32no—
1603C2×C4—32no—
1604C2×C4—32no—
1605C2×C4—44no—
1606C2×C4—68no—
1607C2×C4—61no—
1608C2×C4—61no—
1609C2×C4—61no—
1610C2×C4—61no—
1611C2×C4—61no—
1612C2×C4—61no—
1613C2×C4—61no—
1614C2×C4—61no—
1615C2×C4—61no—
1616C2×C4—61no—
1617C2×C4—61no—
1618C2×C4—61no—
1619C2×C4—61no—
1620C2×C4—61no—
1621C2×C4—61no—
1622C2×C4—61no—
1623C2×C4—61no—
1624C2×C4—61no—
1625C2×C4—61no—
1626C2×C4—61no—
1627C2×C4—61no—
1628C2×C4—61no—
1629C2×C4—61no—
1630C2×C4—61no—
1631C2×C4—61no—
1632C2×C4—61no—
1633C2×C4—61no—
1634C2×C4—61no—
1635C2×C4—61no—
1636C2×C4—61no—
1637C2×C4—61no—
1638C2×C4—82no—
1639C2×C4—82no—
1640C2×C4—124no—
1641C2×C4—124no—
1642C2×C4—124no—
1643C2×C4—124no—
1644C2×C4—242no—
1645C2×C4—242no—
1646C2×C4—242no—
1647C2×C4—242no—
1648C2×C4—242no—
1649C2×C4—242no—
1650C2×C4C2×D3×D412yes—
1651C2×C3—42no—
1652C2×C3—42no—
1653C2×C3—81no—
1654C2×C3#348411yescharacteristic
1655C2×C3#348911yescharacteristic
1656C2×C3#349611yescharacteristic
1657C2×C3#353611yescharacteristic
1658C2×C3#354111yescharacteristic
1659C2×C3#354211yescharacteristic
1660C2×C3#356011yescharacteristic
1661D3—42no—
1662D3—42no—
1663D3—42no—
1664D3—81no—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—62no—
1687C22—62no—
1688C22—62no—
1689C22—62no—
1690C22—62no—
1691C22—62no—
1692C22—62no—
1693C22—62no—
1694C22—62no—
1695C22—121no—
1696C22—121no—
1697C22—121no—
1698C22—121no—
1699C22—121no—
1700C22—121no—
1701C22—121no—
1702C22—121no—
1703C22—121no—
1704C22—121no—
1705C22—121no—
1706C22—121no—
1707C22—121no—
1708C22—121no—
1709C22—121no—
1710C22—121no—
1711C22—121no—
1712C22—121no—
1713C22—121no—
1714C22—248no—
1715C22C22×D3×D411yescharacteristic
1716C22#596411yescharacteristic
1717C22#596411yescharacteristic
1718C22D3×H(5,𝔽2)11yescharacteristic
1719C22D3×H(5,𝔽2)11yescharacteristic
1720C22D3×H(5,𝔽2)11yescharacteristic
1721C22D3×2−1+411yescharacteristic
1722C4—22no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—62no—
1735C4—62no—
1736C4—62no—
1737C4—62no—
1738C4—62no—
1739C4—121no—
1740C4—121no—
1741C4—121no—
1742C4—121no—
1743C4—121no—
1744C4—121no—
1745C4—121no—
1746C3#4636611yescharacteristic, complemented, Sylow
1747C2—42no—
1748C2—42no—
1749C2—81no—
1750C2—122no—
1751C2—122no—
1752C2—122no—
1753C2—241no—
1754C2#8630811yescharacteristic
1755C2#8640011yescharacteristic
1756C2#8643711yescharacteristic
1757C2#8666511yescharacteristic
1758C2#8667711yescharacteristic
1759C2#8692011yescharacteristic
1760C2#8709511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2708C2
hypercenter#2708D3
hypocenterC3#46366
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2708

Complements

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

NH ≅ G/Ntype
1. C2×#5657C2semidirect
2. C2×#5608C2semidirect
3. C3×#2708C2semidirect
4. #82841C2semidirect
5. #82713C2semidirect
6. #78356C2semidirect
7. #78144C2semidirect
8. #78006C2semidirect
9. #77952C2semidirect
10. #77689C2semidirect
11. #77580C2semidirect
12. #77579C2semidirect
13. #77513C2semidirect
14. #77135C2semidirect
15. #77113C2semidirect
16. #77011C2semidirect
17. #77009C2semidirect
18. #74893C2semidirect
19. #74885C2semidirect
20. #74877C2semidirect
21. #74801C2semidirect
22. #74720C2semidirect
23. #74692C2semidirect
24. #74627C2semidirect
25. #74606C2semidirect
26. #74537C2semidirect
27. #74516C2semidirect
28. #74421C2semidirect
29. #74404C2semidirect
30. #73896C2semidirect
31. #73895C2semidirect
34. C22×#235C22semidirect
39. C2×#939C22semidirect
42. C2×#938C22semidirect
46. C2×#929C22semidirect
50. C2×#924C22semidirect
51. C22×Dic3⋊C4C22semidirect
56. C2×#897C22semidirect
58. C2×#896C22semidirect
63. C2×D3×C4⋊C4C22semidirect
70. C2×#884C22semidirect
73. C2×#67⋊C4C22semidirect
77. C2×#878C22semidirect
78. C3×#400C22semidirect
79. C3×#398C22semidirect
81. C3×#397C22semidirect
83. C3×#394C22semidirect
86. C3×#386C22semidirect
87. C3×#385C22semidirect
88. C3×#385C22semidirect
89. C3×#385C22semidirect
104. #4992C22semidirect
105. #4992C22semidirect
106. #4991C22semidirect
108. #4989C22semidirect
109. #4989C22semidirect
110. #4982C22semidirect
111. #4979C22semidirect
112. #4979C22semidirect
113. #4979C22semidirect
114. #4979C22semidirect
115. #4976C22semidirect
124. #4959C22semidirect
125. #4959C22semidirect
129. #4958C22semidirect
132. #4957C22semidirect
135. #4956C22semidirect
136. #4956C22semidirect
139. #4952C22semidirect
140. #4948C22semidirect
141. #4947C22semidirect
144. #4946C22semidirect
146. #4945C22semidirect
147. #4944C22semidirect
149. #4943C22semidirect
162. #4668C22semidirect
164. #4667C22semidirect
165. #4667C22semidirect
166. #4667C22semidirect
167. #4667C22semidirect
168. #4666C22semidirect
176. #4665C22semidirect
177. D3×#95C22semidirect
178. #4658C22semidirect
179. #4657C22semidirect
180. #4657C22semidirect
181. #4655C22semidirect
182. #4655C22semidirect
183. #4654C22semidirect
184. #4653C22semidirect
185. #4652C22semidirect
186. #4650C22semidirect
187. #4647C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
194. #2708D3semidirect
299. #938D4semidirect
469. #400C2×D3semidirect
476. #398C2×D3semidirect
484. #397C2×D3semidirect
505. #394C2×D3semidirect
554. #386C2×D3semidirect
565. #385C2×D3semidirect
566. #385C2×D3semidirect
567. #385C2×D3semidirect
1746. C3#46366semidirect

Maximal subgroups

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

subgroupindex
C2×#56572
C2×#56082
C3×#27082
#828412
#827132
#783562
#781442
#780062
#779522
#776892
#775802
#775792
#775132
#771352
#771132
#770112
#770092
#748932
#748852
#748772
#748012
#747202
#746922
#746272
#746062
#745372
#745162
#744212
#744042
#738962
#738952
#463663