Finite Group Databasebeta

← #11633581

Subgroups — #11633581

Order 768.

2676 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5656C211yesmaximal, characteristic, complemented
2C2×#5636C211yesmaximal, characteristic, complemented
3C3×#2696C211yesmaximal, characteristic, complemented
4#82883C211yesmaximal, characteristic, complemented
5#82756C211yesmaximal, characteristic, complemented
6#78344C211yesmaximal, characteristic, complemented
7#78134C211yesmaximal, characteristic, complemented
8#77492C211yesmaximal, characteristic, complemented
9#77470C211yesmaximal, characteristic, complemented
10#76902C211yesmaximal, characteristic, complemented
11#76898C211yesmaximal, characteristic, complemented
12#76866C211yesmaximal, characteristic, complemented
13#76792C211yesmaximal, characteristic, complemented
14#76790C211yesmaximal, characteristic, complemented
15#76782C211yesmaximal, characteristic, complemented
16#76756C211yesmaximal, characteristic, complemented
17#76668C211yesmaximal, characteristic, complemented
18#76330C211yesmaximal, characteristic, complemented
19#76301C211yesmaximal, characteristic, complemented
20#75839C211yesmaximal, characteristic, complemented
21#75592C211yesmaximal, characteristic, complemented
22#74990C211yesmaximal, characteristic, complemented
23#74965C211yesmaximal, characteristic, complemented
24#74894C211yesmaximal, characteristic, complemented
25#74881C211yesmaximal, characteristic, complemented
26#74807C211yesmaximal, characteristic, complemented
27#74692C211yesmaximal, characteristic, complemented
28#74673C211yesmaximal, characteristic, complemented
29#74659C211yesmaximal, characteristic, complemented
30D3×#380C211yesmaximal, characteristic, complemented
31#73970C211yesmaximal, characteristic, complemented
32#59024—31nomaximal, Sylow
33C22×#237C2211yescharacteristic
34C23×C4×D3C2211yescharacteristic
35C2×C3×#123C2211yescharacteristic
36C2×C3×C22⋊Q8C2211yescharacteristic, complemented
37C2×#947C2211yescharacteristic
38C2×#946C2211yescharacteristic
39C2×#944C2211yescharacteristic, complemented
40C2×#939C2211yescharacteristic
41C2×#939C2211yescharacteristic, complemented
42C2×#938C2211yescharacteristic
43C2×#937C2211yescharacteristic
44C2×#937C2211yescharacteristic
45C2×D4×Dic3C2211yescharacteristic
46C2×#930C2211yescharacteristic
47C2×#929C2211yescharacteristic
48C2×C4×#67C2211yescharacteristic
49C22×Dic3⋊C4C2211yescharacteristic, complemented
50#5656—28no—
51#5636—28no—
52C2×#896C2211yescharacteristic
53C2×#896C2211yescharacteristic
54C2×#896C2211yescharacteristic
55C2×#893C2211yescharacteristic
56C2×#893C2211yescharacteristic
57C2×D3×C4⋊C4C2211yescharacteristic
58C2×D3×C4⋊C4C2211yescharacteristic
59C2×#889C2211yescharacteristic, complemented
60C2×#889C2211yescharacteristic, complemented
61C2×#887C2211yescharacteristic, complemented
62C2×#885C2211yescharacteristic
63C2×#884C2211yescharacteristic
64C2×#884C2211yescharacteristic
65C2×#884C2211yescharacteristic
66C2×#882C2211yescharacteristic
67C2×#67⋊C4C2211yescharacteristic
68C2×#67⋊C4C2211yescharacteristic
69C2×#67⋊C4C2211yescharacteristic
70C2×#67⋊C4C2211yescharacteristic
71C2×#67⋊C4C2211yescharacteristic
72C2×D3×C22⋊C4C2211yescharacteristic
73C2×D3×C22⋊C4C2211yescharacteristic
74C2×#878C2211yescharacteristic, complemented
75C2×#878C2211yescharacteristic, complemented
76C2×#877C2211yescharacteristic
77C2×C4×Dic6C2211yescharacteristic, complemented
78C3×#400C2211yescharacteristic, complemented
79C3×#397C2211yescharacteristic, complemented
80C3×#394C2211yescharacteristic, complemented
81C3×#393C2211yescharacteristic
82C3×#393C2211yescharacteristic, complemented
83C3×#392C2211yescharacteristic
84C3×#390C2211yescharacteristic
85C3×#388C2211yescharacteristic, complemented
86C3×#387C2211yescharacteristic, complemented
87C3×#386C2211yescharacteristic
88C3×#386C2211yescharacteristic
89C3×#386C2211yescharacteristic, complemented
90C3×#380C2211yescharacteristic
91#5229C2211yescharacteristic, complemented
92#5223C2211yescharacteristic
93#5222C2211yescharacteristic
94#5221C2211yescharacteristic
95#5220C2211yescharacteristic
96#5220C2211yescharacteristic, complemented
97#5212C2211yescharacteristic
98#5210C2211yescharacteristic
99C4×#217C2211yescharacteristic, complemented
100#4994C2211yescharacteristic, complemented
101#4992C2211yescharacteristic
102#4992C2211yescharacteristic, complemented
103#4987C2211yescharacteristic
104#4987C2211yescharacteristic
105#4987C2211yescharacteristic, complemented
106#4984C2211yescharacteristic, complemented
107#4982C2211yescharacteristic, complemented
108#4978C2211yescharacteristic, complemented
109#4976C2211yescharacteristic, complemented
110#4961C2211yescharacteristic
111#4961C2211yescharacteristic
112#4961C2211yescharacteristic, complemented
113#4959C2211yescharacteristic
114#4959C2211yescharacteristic
115#4959C2211yescharacteristic
116#4958C2211yescharacteristic, complemented
117#4957C2211yescharacteristic
118#4957C2211yescharacteristic
119#4957C2211yescharacteristic, complemented
120#4957C2211yescharacteristic, complemented
121#4957C2211yescharacteristic, complemented
122#4956C2211yescharacteristic
123#4956C2211yescharacteristic
124#4956C2211yescharacteristic
125#4956C2211yescharacteristic
126#4956C2211yescharacteristic
127#4956C2211yescharacteristic, complemented
128#4955C2211yescharacteristic
129#4953C2211yescharacteristic, complemented
130#4950C2211yescharacteristic, complemented
131#4948C2211yescharacteristic
132#4948C2211yescharacteristic
133#4948C2211yescharacteristic, complemented
134#4948C2211yescharacteristic, complemented
135#4947C2211yescharacteristic
136#4945C2211yescharacteristic
137#4945C2211yescharacteristic, complemented
138#4944C2211yescharacteristic
139#4944C2211yescharacteristic, complemented
140#4942C2211yescharacteristic
141#4942C2211yescharacteristic
142#4942C2211yescharacteristic, complemented
143#4942C2211yescharacteristic, complemented
144Dic3×C22⋊C4C2211yescharacteristic
145Dic3×C22⋊C4C2211yescharacteristic, complemented
146Dic3×C22⋊C4C2211yescharacteristic, complemented
147#4940C2211yescharacteristic
148C4×(C2×D3)⋊C4C2211yescharacteristic
149C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
150#4676C2211yescharacteristic, complemented
151#4675C2211yescharacteristic
152#4674C2211yescharacteristic, complemented
153#4673C2211yescharacteristic, complemented
154#4672C2211yescharacteristic
155#4672C2211yescharacteristic
156#4670C2211yescharacteristic
157#4670C2211yescharacteristic
158#4669C2211yescharacteristic
159#4669C2211yescharacteristic, complemented
160#4668C2211yescharacteristic
161#4668C2211yescharacteristic
162#4668C2211yescharacteristic
163#4668C2211yescharacteristic
164#4668C2211yescharacteristic, complemented
165#4667C2211yescharacteristic
166#4667C2211yescharacteristic
167#4666C2211yescharacteristic
168#4666C2211yescharacteristic
169#4666C2211yescharacteristic
170#4665C2211yescharacteristic
171#4665C2211yescharacteristic
172#4665C2211yescharacteristic
173D3×#95C2211yescharacteristic
174D3×#95C2211yescharacteristic
175#4658C2211yescharacteristic, complemented
176#4657C2211yescharacteristic, complemented
177#4655C2211yescharacteristic, complemented
178#4654C2211yescharacteristic, complemented
179#4654C2211yescharacteristic, complemented
180#4653C2211yescharacteristic, complemented
181#4653C2211yescharacteristic, complemented
182#4652C2211yescharacteristic, complemented
183#4650C2211yescharacteristic, complemented
184#4650C2211yescharacteristic, complemented
185#4649C2211yescharacteristic, complemented
186#4647C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#554—31no—
191C2×#525—31no—
192#2707—31no—
193#2707—31no—
194#2696—31no—
195#2696D311yescharacteristic, complemented
196#2536—31no—
197#2504—31no—
198#2491—31no—
199#2472—31no—
200#2472—31no—
201#2460—31no—
202#2460—31no—
203#2450—31no—
204#2450—31no—
205#2439—31no—
206#2427—31no—
207#2427—31no—
208#2424—31no—
209#2424—31no—
210#2421—31no—
211#2416—31no—
212#2416—31no—
213#2407—31no—
214#2364—31no—
215#2364—31no—
216#2360—31no—
217#2352—31no—
218#2341—31no—
219C4×#120—31no—
220C2×#380—31no—
221C24×D3C2311yescharacteristic
222C22×C3×Q8C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C23×Dic3C2311yescharacteristic
236C23×Dic3C2311yescharacteristic
237C23×Dic3C2311yescharacteristic
238C23×Dic3C2311yescharacteristic
239C2×#237—24no—
240C2×#237—24no—
241C2×#237—42no—
242C22×D12C2311yescharacteristic
243C22×D12C2311yescharacteristic
244C22×C4×D3—24no—
245C22×C4×D3—24no—
246C22×C4×D3—42no—
247C22×C4×D3C2311yescharacteristic
248C22×C4×D3C2311yescharacteristic
249C22×C4×D3C2311yescharacteristic
250C22×C4×D3C2311yescharacteristic
251C22×C4×D3C2311yescharacteristic
252C22×C4×D3C2311yescharacteristic
253C22×C4×D3C2311yescharacteristic
254C22×C4×D3C2311yescharacteristic
255C22×C4×D3C2311yescharacteristic
256C22×Dic6C2311yescharacteristic
257C22×Dic6C2311yescharacteristic
258C3×#123—24no—
259C3×C22⋊Q8—24no—
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊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×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C42C2311yescharacteristic
279C2×#217C2311yescharacteristic
280C2×#217C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291#947—42no—
292#946—24no—
293#944—24no—
294#939—42no—
295#939—42no—
296#938—24no—
297#937—24no—
298#937—24no—
299D4×Dic3—24no—
300#930—42no—
301#929—24no—
302C4×#67—24no—
303C2×(C2×D3)⋊C4C2311yescharacteristic
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×C4⋊Dic3C2311yescharacteristic
327C2×C4⋊Dic3C2311yescharacteristic
328C2×C4⋊Dic3C2311yescharacteristic
329C2×C4⋊Dic3C2311yescharacteristic
330C2×C4⋊Dic3C2311yescharacteristic
331C2×C4⋊Dic3C2311yescharacteristic
332C2×C4⋊Dic3C2311yescharacteristic
333C2×Dic3⋊C4—24no—
334C2×Dic3⋊C4C2311yescharacteristic
335C2×Dic3⋊C4C2311yescharacteristic
336C2×Dic3⋊C4C2311yescharacteristic
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×C4×Dic3C2311yescharacteristic
354C2×C4×Dic3C2311yescharacteristic
355C2×C4×Dic3C2311yescharacteristic
356C2×C4×Dic3C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363#896—24no—
364#896—24no—
365#896D418yescomplemented
366#893—24no—
367#893—24no—
368D3×C4⋊C4—24no—
369D3×C4⋊C4—42no—
370#889—24no—
371#889—24no—
372#887—24no—
373#885—42no—
374#884—24no—
375#884—24no—
376#884—24no—
377#882—24no—
378#67⋊C4—24no—
379#67⋊C4—24no—
380#67⋊C4—24no—
381#67⋊C4—24no—
382#67⋊C4—42no—
383D3×C22⋊C4—42no—
384D3×C22⋊C4—42no—
385#878—24no—
386#878—24no—
387#877—24no—
388C4×Dic6—42no—
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—
424C24×C4—31no—
425#554—68no—
426C2×C4⋊Q8—31no—
427C2×#125—31no—
428C2×#125—31no—
429C2×#124—31no—
430C2×#124—31no—
431#525—68no—
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⋊Q8C2×D311yescharacteristic, complemented
441C2×#121—31no—
442C2×#121—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#120—31no—
449C2×#120—31no—
450C2×#120—31no—
451C2×C4×Q8—31no—
452C2×C4×Q8—31no—
453C2×C4×D4—31no—
454C2×C4×D4—31no—
455C2×C4×D4—31no—
456C2×C4×D4—31no—
457C2×C4×D4—31no—
458C2×C4×D4—31no—
459C2×C4×D4—31no—
460C2×C4×D4—31no—
461C2×C4×D4—31no—
462C2×#117—31no—
463C22×C4⋊C4—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#398—31no—
471#398—31no—
472#397—31no—
473#397—31no—
474#397—31no—
475#397—31no—
476#397—31no—
477#397C2×D311yescharacteristic, complemented
478#396—31no—
479#396—31no—
480#396—31no—
481#396—31no—
482#396—31no—
483#396—31no—
484#394—31no—
485#394—31no—
486#394—31no—
487#394—31no—
488#394—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394C2×D311yescharacteristic, complemented
494#393—31no—
495#393—31no—
496#393C2×D311yescharacteristic
497#393C2×D311yescharacteristic, complemented
498#392—31no—
499#392C2×D311yescharacteristic
500#391—31no—
501#391—31no—
502#391—31no—
503#390—31no—
504#390—31no—
505#390—31no—
506#390—31no—
507#390—31no—
508#390—31no—
509#390C2×D311yescharacteristic
510#389—31no—
511#389—31no—
512#389—31no—
513#389—31no—
514#388—31no—
515#388—31no—
516#388—31no—
517#388—31no—
518#388—31no—
519#388—31no—
520#388—31no—
521#388—31no—
522#388—31no—
523#388C2×D311yescharacteristic, complemented
524#387—31no—
525#387—31no—
526#387—31no—
527#387—31no—
528#387—31no—
529#387—31no—
530#387—31no—
531#387C2×D311yescharacteristic, complemented
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#386C2×D311yescharacteristic
545#386C2×D311yescharacteristic
546#386C2×D311yescharacteristic, complemented
547#385—31no—
548#385—31no—
549#385—31no—
550#385—31no—
551#385—31no—
552#385—31no—
553#385—31no—
554#382—31no—
555#382—31no—
556#380—31no—
557#380—31no—
558#380—31no—
559#380—31no—
560#380—31no—
561#380—31no—
562#380—31no—
563#380—31no—
564#380—31no—
565#380—31no—
566#380C2×D311yescharacteristic
567#379—31no—
568C4×C4⋊C4—31no—
569C4×C22⋊C4—31no—
570C4×C22⋊C4—31no—
571C4×C22⋊C4—31no—
572C4×C22⋊C4—31no—
573C4×C22⋊C4—31no—
574C4×C22⋊C4—31no—
575C4×C22⋊C4—31no—
576C4×C22⋊C4—31no—
577C4×C22⋊C4—31no—
578C2×#95—31no—
579C2×#95—31no—
580C24×C3C2411yescharacteristic
581C24×C3C2411yescharacteristic
582C24×C3C2411yescharacteristic
583C23×D3—22no—
584C23×D3—22no—
585C23×D3—22no—
586C23×D3—22no—
587C23×D3—22no—
588C23×D3—41no—
589C23×D3—41no—
590C23×D3C2411yescharacteristic
591C23×D3C2411yescharacteristic
592C23×D3C2411yescharacteristic
593C2×C3×Q8—22no—
594C2×C3×Q8—41no—
595C2×C3×Q8—41no—
596C2×C3×D4—22no—
597C2×C3×D4—22no—
598C2×C3×D4—22no—
599C2×C3×D4—22no—
600C2×C3×D4—22no—
601C2×C3×D4—41no—
602C2×C3×D4—41no—
603C2×C3×D4—41no—
604C2×C3×D4—41no—
605C22×C3×C4—22no—
606C22×C3×C4—22no—
607C22×C3×C4—22no—
608C22×C3×C4—41no—
609C22×C3×C4—41no—
610C22×C3×C4—41no—
611C22×C3×C4C2411yescharacteristic
612C22×C3×C4C2411yescharacteristic
613C22×C3×C4C2411yescharacteristic
614C22×C3×C4C2411yescharacteristic
615C22×C3×C4C2411yescharacteristic
616C22×C3×C4C2411yescharacteristic
617C22×C3×C4C2411yescharacteristic
618C22×C3×C4C2411yescharacteristic
619C22×C3×C4C2411yescharacteristic
620C22×C3×C4C2411yescharacteristic
621C22×C3×C4C2411yescharacteristic
622C22×C3×C4C2411yescharacteristic
623C2×#67—22no—
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—22no—
638C2×#67—41no—
639C2×#67—41no—
640C2×#67—41no—
641C2×#67—41no—
642C2×#67—41no—
643C2×#67#4114yescomplemented
644C22×Dic3—22no—
645C22×Dic3—22no—
646C22×Dic3—22no—
647C22×Dic3—22no—
648C22×Dic3—22no—
649C22×Dic3—22no—
650C22×Dic3—22no—
651C22×Dic3—22no—
652C22×Dic3—41no—
653C22×Dic3—41no—
654C22×Dic3—41no—
655C22×Dic3#4114yes—
656C22×Dic3C2411yescharacteristic
657C22×Dic3C2411yescharacteristic
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660C22×Dic3C2411yescharacteristic
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2411yescharacteristic
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666C22×Dic3C2411yescharacteristic
667C22×Dic3C2411yescharacteristic
668C22×Dic3C2411yescharacteristic
669#237—416no—
670C2×D12—22no—
671C2×D12—22no—
672C2×D12—22no—
673C2×D12—22no—
674C2×D12—22no—
675C2×D12—41no—
676C2×C4×D3—22no—
677C2×C4×D3—22no—
678C2×C4×D3—22no—
679C2×C4×D3—22no—
680C2×C4×D3—22no—
681C2×C4×D3—22no—
682C2×C4×D3—22no—
683C2×C4×D3—22no—
684C2×C4×D3—22no—
685C2×C4×D3—22no—
686C2×C4×D3—22no—
687C2×C4×D3—22no—
688C2×C4×D3—22no—
689C2×C4×D3—22no—
690C2×C4×D3—22no—
691C2×C4×D3—416no—
692C2×C4×D3—41no—
693C2×C4×D3—41no—
694C2×C4×D3—41no—
695C2×C4×D3—41no—
696C2×C4×D3—41no—
697C2×C4×D3—41no—
698C2×C4×D3—41no—
699C2×C4×D3—41no—
700C2×C4×D3—41no—
701C2×C4×D3—41no—
702C2×C4×D3—41no—
703C2×C4×D3C2×D414yes—
704C2×Dic6—22no—
705C2×Dic6—22no—
706C2×Dic6—22no—
707C2×Dic6—41no—
708C2×Dic6—41no—
709C2×Dic6C2×D414yes—
710C3×C4⋊C4—22no—
711C3×C4⋊C4—22no—
712C3×C4⋊C4—22no—
713C3×C4⋊C4—41no—
714C3×C4⋊C4C2×D414yes—
715C3×C22⋊C4—22no—
716C3×C22⋊C4—22no—
717C3×C22⋊C4—22no—
718C3×C22⋊C4—22no—
719C3×C22⋊C4—22no—
720C3×C22⋊C4—22no—
721C3×C22⋊C4—41no—
722C3×C22⋊C4—41no—
723C3×C22⋊C4—41no—
724C3×C22⋊C4—41no—
725C3×C22⋊C4—41no—
726C3×C22⋊C4—41no—
727C3×C22⋊C4—41no—
728C3×C42—41no—
729#217—22no—
730#217—22no—
731#217—22no—
732#217—22no—
733#217—22no—
734#217—22no—
735#217—22no—
736#217—41no—
737#217—41no—
738#217—41no—
739#217—41no—
740#217—41no—
741(C2×D3)⋊C4—22no—
742(C2×D3)⋊C4—22no—
743(C2×D3)⋊C4—22no—
744(C2×D3)⋊C4—22no—
745(C2×D3)⋊C4—22no—
746(C2×D3)⋊C4—22no—
747(C2×D3)⋊C4—22no—
748(C2×D3)⋊C4—22no—
749(C2×D3)⋊C4—22no—
750(C2×D3)⋊C4—22no—
751(C2×D3)⋊C4—22no—
752(C2×D3)⋊C4—22no—
753(C2×D3)⋊C4—22no—
754(C2×D3)⋊C4—22no—
755(C2×D3)⋊C4—41no—
756(C2×D3)⋊C4—41no—
757(C2×D3)⋊C4—41no—
758(C2×D3)⋊C4—41no—
759(C2×D3)⋊C4—41no—
760(C2×D3)⋊C4—41no—
761(C2×D3)⋊C4—41no—
762(C2×D3)⋊C4C2×D414yes—
763(C2×D3)⋊C4C2×D414yes—
764C4⋊Dic3—22no—
765C4⋊Dic3—22no—
766C4⋊Dic3—22no—
767C4⋊Dic3—22no—
768C4⋊Dic3—41no—
769C4⋊Dic3—41no—
770C4⋊Dic3—41no—
771Dic3⋊C4—22no—
772Dic3⋊C4—22no—
773Dic3⋊C4—22no—
774Dic3⋊C4—22no—
775Dic3⋊C4—22no—
776Dic3⋊C4—22no—
777Dic3⋊C4—22no—
778Dic3⋊C4—22no—
779Dic3⋊C4—22no—
780Dic3⋊C4—22no—
781Dic3⋊C4—22no—
782Dic3⋊C4—22no—
783Dic3⋊C4—22no—
784Dic3⋊C4—22no—
785Dic3⋊C4—41no—
786Dic3⋊C4—41no—
787Dic3⋊C4—41no—
788Dic3⋊C4C2×D414yes—
789Dic3⋊C4C2×D414yes—
790C4×Dic3—22no—
791C4×Dic3—22no—
792C4×Dic3—22no—
793C4×Dic3—22no—
794C4×Dic3—22no—
795C4×Dic3—22no—
796C4×Dic3—22no—
797C4×Dic3—41no—
798C4×Dic3—41no—
799C4×Dic3—41no—
800C25—31no—
801C2×#41—64no—
802C2×#41—64no—
803C2×#41—122no—
804C22×Q8—31no—
805C22×Q8—31no—
806C22×Q8C22×D311yescharacteristic
807C22×D4—31no—
808C22×D4—31no—
809C22×D4—31no—
810C22×D4—31no—
811C22×D4—31no—
812C22×D4—31no—
813C22×D4—31no—
814C22×D4—31no—
815C22×D4—31no—
816C22×D4C22×D311yescharacteristic
817C22×D4C22×D311yescharacteristic
818C22×D4C22×D311yescharacteristic
819C23×C4—31no—
820C23×C4—31no—
821C23×C4—31no—
822C23×C4—31no—
823C23×C4—31no—
824C23×C4—31no—
825C23×C4—31no—
826C23×C4—31no—
827C23×C4—31no—
828C23×C4—31no—
829C23×C4—31no—
830C23×C4—31no—
831C23×C4—31no—
832C23×C4—64no—
833C23×C4—64no—
834C23×C4—122no—
835C23×C4C22×D311yescharacteristic
836C23×C4C22×D311yescharacteristic
837C4⋊Q8—64no—
838#125—64no—
839#125—64no—
840#124—122no—
841#124—122no—
842#123—24no—
843#123—64no—
844C22⋊Q8—24no—
845C22⋊Q8—38no—
846C22⋊Q8—64no—
847C22⋊Q8—64no—
848C22⋊Q8—64no—
849C22⋊Q8—64no—
850C22⋊Q8—64no—
851#121—64no—
852#121—64no—
853#121—64no—
854#121—64no—
855#121—122no—
856#121—122no—
857#121—122no—
858#120—64no—
859#120—64no—
860#120—64no—
861C4×Q8—64no—
862C4×Q8—122no—
863C4×D4—64no—
864C4×D4—64no—
865C4×D4—64no—
866C4×D4—64no—
867C4×D4—64no—
868C4×D4—64no—
869C4×D4—64no—
870C4×D4—64no—
871C4×D4—122no—
872#117—64no—
873C2×C4⋊C4—31no—
874C2×C4⋊C4—31no—
875C2×C4⋊C4—31no—
876C2×C4⋊C4—31no—
877C2×C4⋊C4—31no—
878C2×C4⋊C4—31no—
879C2×C4⋊C4—31no—
880C2×C4⋊C4—31no—
881C2×C4⋊C4—31no—
882C2×C4⋊C4—31no—
883C2×C4⋊C4—31no—
884C2×C4⋊C4—31no—
885C2×C4⋊C4—31no—
886C2×C4⋊C4—31no—
887C2×C4⋊C4—31no—
888C2×C4⋊C4—31no—
889C2×C4⋊C4—31no—
890C2×C4⋊C4—31no—
891C2×C4⋊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—64no—
900C2×C4⋊C4—64no—
901C2×C4⋊C4—122no—
902C2×C4⋊C4C22×D311yescharacteristic
903C2×C4⋊C4C22×D311yescharacteristic
904C2×C4⋊C4C22×D311yescharacteristic
905C2×C4⋊C4C22×D311yescharacteristic
906C2×C4⋊C4C22×D311yescharacteristic
907C2×C22⋊C4—31no—
908C2×C22⋊C4—31no—
909C2×C22⋊C4—31no—
910C2×C22⋊C4—31no—
911C2×C22⋊C4—31no—
912C2×C22⋊C4—31no—
913C2×C22⋊C4—31no—
914C2×C22⋊C4—31no—
915C2×C22⋊C4—31no—
916C2×C22⋊C4—31no—
917C2×C22⋊C4—31no—
918C2×C22⋊C4—31no—
919C2×C22⋊C4—31no—
920C2×C22⋊C4—31no—
921C2×C22⋊C4—31no—
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊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—122no—
943C2×C22⋊C4—122no—
944C2×C22⋊C4C22×D311yescharacteristic
945C2×C22⋊C4C22×D311yescharacteristic
946C2×C22⋊C4C22×D311yescharacteristic
947C2×C22⋊C4C22×D311yescharacteristic
948C2×C22⋊C4C22×D311yescharacteristic
949C2×C22⋊C4C22×D311yescharacteristic
950C2×C22⋊C4C22×D311yescharacteristic
951C2×C22⋊C4C22×D311yescharacteristic
952C2×C22⋊C4C22×D311yescharacteristic
953C2×C22⋊C4C22×D311yescharacteristic
954C2×C22⋊C4C22×D311yescharacteristic
955C2×C22⋊C4C22×D311yescharacteristic
956C2×C22⋊C4C22×D311yescharacteristic
957C2×C42—31no—
958C2×C42—31no—
959C2×C42—31no—
960C2×C42—31no—
961C2×C42—31no—
962C2×C42—31no—
963C2×C42—31no—
964C2×C42—31no—
965C2×C42—31no—
966C2×C42—31no—
967C2×C42C22×D311yescharacteristic
968#95—31no—
969#95—31no—
970#95—31no—
971#95—31no—
972#95—31no—
973#95—31no—
974#95—31no—
975#95—31no—
976#95—31no—
977#95—31no—
978#95—31no—
979#95—31no—
980#95—31no—
981#95—31no—
982#95—31no—
983#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#95C22×D311yescharacteristic
993#95C22×D311yescharacteristic
994#95C22×D311yescharacteristic
995#95C22×D311yescharacteristic
996#95C22×D311yescharacteristic
997#95C22×D311yescharacteristic
998#95C22×D311yescharacteristic
999#95C22×D311yescharacteristic
1000#95C22×D311yescharacteristic
1001#95C22×D311yescharacteristic
1002C23×C3—21no—
1003C23×C3—21no—
1004C23×C3—21no—
1005C23×C3—21no—
1006C23×C3—21no—
1007C23×C3—21no—
1008C23×C3—21no—
1009C23×C3—21no—
1010C23×C3—21no—
1011C23×C3—21no—
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×C3C2×#4112yes—
1022C23×C3C2×#4112yes—
1023C23×C3C2511yescharacteristic
1024C22×D3—21no—
1025C22×D3—21no—
1026C22×D3—21no—
1027C22×D3—21no—
1028C22×D3—28no—
1029C22×D3—21no—
1030C22×D3—21no—
1031C22×D3—21no—
1032C22×D3—21no—
1033C22×D3—21no—
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—44no—
1043C22×D3—44no—
1044C22×D3—44no—
1045C22×D3—44no—
1046C22×D3—44no—
1047C22×D3—44no—
1048C22×D3C22×D412yes—
1049C22×D3C2×#4112yes—
1050C22×D3H(5,𝔽2)12yes—
1051C22×D32−1+412yes—
1052C3×Q8—82no—
1053C3×D4—44no—
1054C3×D4—44no—
1055C3×D4—82no—
1056C2×C3×C4—21no—
1057C2×C3×C4—21no—
1058C2×C3×C4—21no—
1059C2×C3×C4—21no—
1060C2×C3×C4—21no—
1061C2×C3×C4—21no—
1062C2×C3×C4—21no—
1063C2×C3×C4—21no—
1064C2×C3×C4—21no—
1065C2×C3×C4—21no—
1066C2×C3×C4—21no—
1067C2×C3×C4—21no—
1068C2×C3×C4—21no—
1069C2×C3×C4—21no—
1070C2×C3×C4—21no—
1071C2×C3×C4—21no—
1072C2×C3×C4—21no—
1073C2×C3×C4—21no—
1074C2×C3×C4—21no—
1075C2×C3×C4—21no—
1076C2×C3×C4—21no—
1077C2×C3×C4—21no—
1078C2×C3×C4—21no—
1079C2×C3×C4—21no—
1080C2×C3×C4—21no—
1081C2×C3×C4—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—44no—
1090C2×C3×C4—82no—
1091C2×C3×C4C22×D412yes—
1092C2×C3×C4C22×D412yes—
1093C2×C3×C4C22×D412yes—
1094#67—28no—
1095#67—44no—
1096#67—44no—
1097#67—44no—
1098#67—44no—
1099#67—44no—
1100#67—82no—
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—28no—
1110C2×Dic3—21no—
1111C2×Dic3—21no—
1112C2×Dic3—21no—
1113C2×Dic3—21no—
1114C2×Dic3—21no—
1115C2×Dic3—21no—
1116C2×Dic3—21no—
1117C2×Dic3—21no—
1118C2×Dic3—21no—
1119C2×Dic3—21no—
1120C2×Dic3—21no—
1121C2×Dic3—21no—
1122C2×Dic3—21no—
1123C2×Dic3—21no—
1124C2×Dic3—21no—
1125C2×Dic3—21no—
1126C2×Dic3—21no—
1127C2×Dic3—21no—
1128C2×Dic3—21no—
1129C2×Dic3—21no—
1130C2×Dic3—21no—
1131C2×Dic3—21no—
1132C2×Dic3—21no—
1133C2×Dic3—21no—
1134C2×Dic3—44no—
1135C2×Dic3—44no—
1136C2×Dic3—82no—
1137C2×Dic3C22×D412yes—
1138C2×Dic3C22×D412yes—
1139C2×Dic3C22×D412yes—
1140C2×Dic3C2×#4112yes—
1141C2×Dic3C2×#4112yes—
1142C2×Dic3C2×#4112yes—
1143C2×Dic3H(5,𝔽2)12yes—
1144D12—44no—
1145D12—44no—
1146C4×D3—28no—
1147C4×D3—44no—
1148C4×D3—44no—
1149C4×D3—44no—
1150C4×D3—44no—
1151C4×D3—82no—
1152C4×D3—82no—
1153C4×D3—82no—
1154C4×D3—82no—
1155Dic6—28no—
1156Dic6—82no—
1157C24—31no—
1158C24—31no—
1159C24—31no—
1160C24—62no—
1161C24—62no—
1162C24—62no—
1163C24—62no—
1164C24—62no—
1165C24—121no—
1166C24—121no—
1167C24C23×D311yescharacteristic
1168C24C23×D311yescharacteristic
1169C24C23×D311yescharacteristic
1170#41—1216no—
1171C2×Q8—22no—
1172C2×Q8—34no—
1173C2×Q8—41no—
1174C2×Q8—41no—
1175C2×Q8—62no—
1176C2×Q8—62no—
1177C2×Q8—62no—
1178C2×Q8—121no—
1179C2×Q8—121no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—34no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—62no—
1191C2×D4—62no—
1192C2×D4—62no—
1193C2×D4—62no—
1194C2×D4—62no—
1195C2×D4—62no—
1196C2×D4—62no—
1197C2×D4—62no—
1198C2×D4—62no—
1199C2×D4—62no—
1200C2×D4—62no—
1201C2×D4—62no—
1202C2×D4—62no—
1203C2×D4—62no—
1204C2×D4—62no—
1205C2×D4—62no—
1206C2×D4—62no—
1207C2×D4—62no—
1208C2×D4—62no—
1209C2×D4—62no—
1210C2×D4—121no—
1211C2×D4—121no—
1212C2×D4—121no—
1213C2×D4—121no—
1214C2×D4—121no—
1215C2×D4—121no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—31no—
1220C22×C4—34no—
1221C22×C4—31no—
1222C22×C4—31no—
1223C22×C4—31no—
1224C22×C4—31no—
1225C22×C4—34no—
1226C22×C4—31no—
1227C22×C4—31no—
1228C22×C4—31no—
1229C22×C4—31no—
1230C22×C4—31no—
1231C22×C4—31no—
1232C22×C4—31no—
1233C22×C4—31no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—62no—
1238C22×C4—62no—
1239C22×C4—62no—
1240C22×C4—62no—
1241C22×C4—62no—
1242C22×C4—62no—
1243C22×C4—62no—
1244C22×C4—62no—
1245C22×C4—62no—
1246C22×C4—62no—
1247C22×C4—62no—
1248C22×C4—62no—
1249C22×C4—62no—
1250C22×C4—62no—
1251C22×C4—62no—
1252C22×C4—62no—
1253C22×C4—62no—
1254C22×C4—62no—
1255C22×C4—62no—
1256C22×C4—62no—
1257C22×C4—62no—
1258C22×C4—62no—
1259C22×C4—62no—
1260C22×C4—121no—
1261C22×C4—121no—
1262C22×C4—121no—
1263C22×C4—121no—
1264C22×C4—121no—
1265C22×C4—121no—
1266C22×C4—121no—
1267C22×C4—121no—
1268C22×C4—121no—
1269C22×C4—121no—
1270C22×C4—121no—
1271C22×C4—1216no—
1272C22×C4—121no—
1273C22×C4—121no—
1274C22×C4—121no—
1275C22×C4C23×D311yescharacteristic
1276C22×C4C23×D311yescharacteristic
1277C22×C4C23×D311yescharacteristic
1278C22×C4C23×D311yescharacteristic
1279C22×C4C23×D311yescharacteristic
1280C22×C4C23×D311yescharacteristic
1281C22×C4C23×D311yescharacteristic
1282C22×C4C23×D311yescharacteristic
1283C22×C4C23×D311yescharacteristic
1284C22×C4C23×D311yescharacteristic
1285C22×C4C23×D311yescharacteristic
1286C22×C4C23×D311yescharacteristic
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—34no—
1291C4⋊C4—34no—
1292C4⋊C4—41no—
1293C4⋊C4—62no—
1294C4⋊C4—62no—
1295C4⋊C4—62no—
1296C4⋊C4—62no—
1297C4⋊C4—62no—
1298C4⋊C4—62no—
1299C4⋊C4—62no—
1300C4⋊C4—62no—
1301C4⋊C4—62no—
1302C4⋊C4—62no—
1303C4⋊C4—62no—
1304C4⋊C4—62no—
1305C4⋊C4—62no—
1306C4⋊C4—62no—
1307C4⋊C4—62no—
1308C4⋊C4—62no—
1309C4⋊C4—62no—
1310C4⋊C4—62no—
1311C4⋊C4—121no—
1312C4⋊C4—121no—
1313C4⋊C4—121no—
1314C4⋊C4—121no—
1315C4⋊C4—121no—
1316C4⋊C4—121no—
1317C4⋊C4D3×D414yes—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—34no—
1325C22⋊C4—34no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—62no—
1334C22⋊C4—62no—
1335C22⋊C4—62no—
1336C22⋊C4—62no—
1337C22⋊C4—62no—
1338C22⋊C4—62no—
1339C22⋊C4—62no—
1340C22⋊C4—62no—
1341C22⋊C4—62no—
1342C22⋊C4—62no—
1343C22⋊C4—62no—
1344C22⋊C4—62no—
1345C22⋊C4—62no—
1346C22⋊C4—62no—
1347C22⋊C4—62no—
1348C22⋊C4—62no—
1349C22⋊C4—62no—
1350C22⋊C4—62no—
1351C22⋊C4—62no—
1352C22⋊C4—62no—
1353C22⋊C4—62no—
1354C22⋊C4—121no—
1355C22⋊C4—121no—
1356C22⋊C4—121no—
1357C22⋊C4—121no—
1358C22⋊C4—121no—
1359C22⋊C4—121no—
1360C22⋊C4—121no—
1361C22⋊C4—121no—
1362C22⋊C4—121no—
1363C22⋊C4—121no—
1364C22⋊C4—121no—
1365C22⋊C4—121no—
1366C42—41no—
1367C42—62no—
1368C42—62no—
1369C42—62no—
1370C42—62no—
1371C42—62no—
1372C42—62no—
1373C42—62no—
1374C42—121no—
1375C42—121no—
1376C42—121no—
1377C22×C3—22no—
1378C22×C3—22no—
1379C22×C3—22no—
1380C22×C3—22no—
1381C22×C3—22no—
1382C22×C3—22no—
1383C22×C3—41no—
1384C22×C3—41no—
1385C22×C3—41no—
1386C22×C3—41no—
1387C22×C3—41no—
1388C22×C3—41no—
1389C22×C3—41no—
1390C22×C3—41no—
1391C22×C3—41no—
1392C22×C3—41no—
1393C22×C3—41no—
1394C22×C3—41no—
1395C22×C3—41no—
1396C22×C3—41no—
1397C22×C3—41no—
1398C22×C3C23×D411yescharacteristic
1399C22×C3C22×#4111yescharacteristic
1400C22×C3C22×#4111yescharacteristic
1401C22×C3C2×H(5,𝔽2)11yescharacteristic
1402C22×C3C2×H(5,𝔽2)11yescharacteristic
1403C22×C3C2×2−1+411yescharacteristic
1404C22×C3#58511yescharacteristic
1405C2×D3—22no—
1406C2×D3—22no—
1407C2×D3—22no—
1408C2×D3—22no—
1409C2×D3—22no—
1410C2×D3—22no—
1411C2×D3—22no—
1412C2×D3—22no—
1413C2×D3—22no—
1414C2×D3—416no—
1415C2×D3—41no—
1416C2×D3—41no—
1417C2×D3—41no—
1418C2×D3—41no—
1419C2×D3—41no—
1420C2×D3—41no—
1421C2×D3—41no—
1422C2×D3—41no—
1423C2×D3—41no—
1424C2×D3—41no—
1425C2×D3—41no—
1426C2×D3#54814yes—
1427C3×C4—22no—
1428C3×C4—22no—
1429C3×C4—22no—
1430C3×C4—41no—
1431C3×C4—41no—
1432C3×C4—41no—
1433C3×C4—41no—
1434C3×C4—41no—
1435C3×C4—41no—
1436C3×C4—41no—
1437C3×C4—41no—
1438C3×C4—41no—
1439Dic3—22no—
1440Dic3—22no—
1441Dic3—22no—
1442Dic3—22no—
1443Dic3—41no—
1444Dic3—41no—
1445Dic3—41no—
1446Dic3—41no—
1447Dic3—41no—
1448Dic3—41no—
1449Dic3—41no—
1450Dic3—41no—
1451Dic3#54614yes—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—32no—
1472C23—32no—
1473C23—32no—
1474C23—32no—
1475C23—68no—
1476C23—61no—
1477C23—61no—
1478C23—61no—
1479C23—61no—
1480C23—61no—
1481C23—61no—
1482C23—61no—
1483C23—61no—
1484C23—61no—
1485C23—61no—
1486C23—61no—
1487C23—61no—
1488C23—61no—
1489C23—61no—
1490C23—61no—
1491C23—61no—
1492C23—61no—
1493C23—124no—
1494C23—124no—
1495C23—124no—
1496C23—124no—
1497C23—124no—
1498C23—124no—
1499C23D3×#4112yes—
1500C23D3×#4112yes—
1501C23C24×D311yescharacteristic
1502Q8—68no—
1503Q8—82no—
1504Q8—242no—
1505D4—44no—
1506D4—44no—
1507D4—68no—
1508D4—82no—
1509D4—124no—
1510D4—124no—
1511D4—124no—
1512D4—124no—
1513D4—124no—
1514D4—124no—
1515D4—124no—
1516D4—242no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—32no—
1551C2×C4—32no—
1552C2×C4—32no—
1553C2×C4—32no—
1554C2×C4—32no—
1555C2×C4—32no—
1556C2×C4—32no—
1557C2×C4—44no—
1558C2×C4—68no—
1559C2×C4—68no—
1560C2×C4—61no—
1561C2×C4—61no—
1562C2×C4—61no—
1563C2×C4—61no—
1564C2×C4—61no—
1565C2×C4—61no—
1566C2×C4—61no—
1567C2×C4—61no—
1568C2×C4—61no—
1569C2×C4—61no—
1570C2×C4—61no—
1571C2×C4—61no—
1572C2×C4—61no—
1573C2×C4—61no—
1574C2×C4—61no—
1575C2×C4—61no—
1576C2×C4—61no—
1577C2×C4—61no—
1578C2×C4—61no—
1579C2×C4—61no—
1580C2×C4—61no—
1581C2×C4—61no—
1582C2×C4—61no—
1583C2×C4—61no—
1584C2×C4—61no—
1585C2×C4—61no—
1586C2×C4—61no—
1587C2×C4—61no—
1588C2×C4—61no—
1589C2×C4—61no—
1590C2×C4—61no—
1591C2×C4—61no—
1592C2×C4—82no—
1593C2×C4—124no—
1594C2×C4—124no—
1595C2×C4—124no—
1596C2×C4—124no—
1597C2×C4—124no—
1598C2×C4—124no—
1599C2×C4—242no—
1600C2×C4—242no—
1601C2×C4—242no—
1602C2×C4—242no—
1603C2×C4—242no—
1604C2×C4C2×D3×D412yes—
1605C2×C4C2×D3×D412yes—
1606C2×C4C2×D3×D412yes—
1607C2×C3—42no—
1608C2×C3—42no—
1609C2×C3—81no—
1610C2×C3C2×#54611yescharacteristic
1611C2×C3C2×#54811yescharacteristic
1612C2×C3#347511yescharacteristic
1613C2×C3#348811yescharacteristic
1614C2×C3#349211yescharacteristic
1615C2×C3#351911yescharacteristic
1616C2×C3#354111yescharacteristic
1617D3—24no—
1618D3—42no—
1619D3—81no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—34no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—62no—
1643C22—62no—
1644C22—62no—
1645C22—62no—
1646C22—62no—
1647C22—62no—
1648C22—62no—
1649C22—62no—
1650C22—62no—
1651C22—1216no—
1652C22—121no—
1653C22—121no—
1654C22—121no—
1655C22—121no—
1656C22—121no—
1657C22—121no—
1658C22—121no—
1659C22—121no—
1660C22—121no—
1661C22—121no—
1662C22—121no—
1663C22C22×D3×D411yescharacteristic
1664C22C2×D3×#4111yescharacteristic
1665C22C2×D3×#4111yescharacteristic
1666C22D3×H(5,𝔽2)11yescharacteristic
1667C22D3×H(5,𝔽2)11yescharacteristic
1668C22#596611yescharacteristic
1669C22D3×2−1+411yescharacteristic
1670C4—22no—
1671C4—22no—
1672C4—22no—
1673C4—34no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—62no—
1684C4—62no—
1685C4—62no—
1686C4—62no—
1687C4—121no—
1688C4—121no—
1689C4—121no—
1690C4—121no—
1691C4—121no—
1692C4—121no—
1693C4—121no—
1694C4—121no—
1695C3#5902411yescharacteristic, complemented, Sylow
1696C2—42no—
1697C2—42no—
1698C2—64no—
1699C2—81no—
1700C2—122no—
1701C2—241no—
1702C2#8633111yescharacteristic
1703C2#8641711yescharacteristic
1704C2#8643011yescharacteristic
1705C2D3×#54611yescharacteristic
1706C2D3×#54811yescharacteristic
1707C2#8679011yescharacteristic
1708C2#8709611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2696C2
hypercenter#2696D3
hypocenterC3#59024
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2696

Complements

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

NH ≅ G/Ntype
1. C2×#5656C2semidirect
2. C2×#5636C2semidirect
3. C3×#2696C2semidirect
4. #82883C2semidirect
5. #82756C2semidirect
6. #78344C2semidirect
7. #78134C2semidirect
8. #77492C2semidirect
9. #77470C2semidirect
10. #76902C2semidirect
11. #76898C2semidirect
12. #76866C2semidirect
13. #76792C2semidirect
14. #76790C2semidirect
15. #76782C2semidirect
16. #76756C2semidirect
17. #76668C2semidirect
18. #76330C2semidirect
19. #76301C2semidirect
20. #75839C2semidirect
21. #75592C2semidirect
22. #74990C2semidirect
23. #74965C2semidirect
24. #74894C2semidirect
25. #74881C2semidirect
26. #74807C2semidirect
27. #74692C2semidirect
28. #74673C2semidirect
29. #74659C2semidirect
30. D3×#380C2semidirect
31. #73970C2semidirect
36. C2×C3×C22⋊Q8C22semidirect
39. C2×#944C22semidirect
41. C2×#939C22semidirect
49. C22×Dic3⋊C4C22semidirect
59. C2×#889C22semidirect
60. C2×#889C22semidirect
61. C2×#887C22semidirect
74. C2×#878C22semidirect
75. C2×#878C22semidirect
77. C2×C4×Dic6C22semidirect
78. C3×#400C22semidirect
79. C3×#397C22semidirect
80. C3×#394C22semidirect
82. C3×#393C22semidirect
85. C3×#388C22semidirect
86. C3×#387C22semidirect
89. C3×#386C22semidirect
91. #5229C22semidirect
96. #5220C22semidirect
99. C4×#217C22semidirect
100. #4994C22semidirect
102. #4992C22semidirect
105. #4987C22semidirect
106. #4984C22semidirect
107. #4982C22semidirect
108. #4978C22semidirect
109. #4976C22semidirect
112. #4961C22semidirect
116. #4958C22semidirect
119. #4957C22semidirect
120. #4957C22semidirect
121. #4957C22semidirect
127. #4956C22semidirect
129. #4953C22semidirect
130. #4950C22semidirect
133. #4948C22semidirect
134. #4948C22semidirect
137. #4945C22semidirect
139. #4944C22semidirect
142. #4942C22semidirect
143. #4942C22semidirect
145. Dic3×C22⋊C4C22semidirect
146. Dic3×C22⋊C4C22semidirect
149. C4×(C2×D3)⋊C4C22semidirect
150. #4676C22semidirect
152. #4674C22semidirect
153. #4673C22semidirect
159. #4669C22semidirect
164. #4668C22semidirect
175. #4658C22semidirect
176. #4657C22semidirect
177. #4655C22semidirect
178. #4654C22semidirect
179. #4654C22semidirect
180. #4653C22semidirect
181. #4653C22semidirect
182. #4652C22semidirect
183. #4650C22semidirect
184. #4650C22semidirect
185. #4649C22semidirect
186. #4647C22semidirect
187. #4647C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
195. #2696D3semidirect
365. #896D4semidirect
440. C2×C22⋊Q8C2×D3semidirect
469. #400C2×D3semidirect
477. #397C2×D3semidirect
493. #394C2×D3semidirect
497. #393C2×D3semidirect
523. #388C2×D3semidirect
531. #387C2×D3semidirect
546. #386C2×D3semidirect
643. C2×#67#41semidirect
1695. C3#59024semidirect

Maximal subgroups

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

subgroupindex
C2×#56562
C2×#56362
C3×#26962
#828832
#827562
#783442
#781342
#774922
#774702
#769022
#768982
#768662
#767922
#767902
#767822
#767562
#766682
#763302
#763012
#758392
#755922
#749902
#749652
#748942
#748812
#748072
#746922
#746732
#746592
D3×#3802
#739702
#590243