Finite Group Databasebeta

← #11235587

Subgroups — #11235587

Order 768.

2776 conjugacy classes of subgroups.

The subgroup lattice has 1904 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5620C211yesmaximal, characteristic, complemented
2C2×#5586C211yesmaximal, characteristic, complemented
3C3×#2669C211yesmaximal, characteristic, complemented
4#83190C211yesmaximal, characteristic, complemented
5#83186C211yesmaximal, characteristic, complemented
6#82715C211yesmaximal, characteristic, complemented
7#82660C211yesmaximal, characteristic, complemented
8#82649C211yesmaximal, characteristic, complemented
9#82609C211yesmaximal, characteristic, complemented
10#82609C211yesmaximal, characteristic, complemented
11#82601C211yesmaximal, characteristic, complemented
12#82601C211yesmaximal, characteristic, complemented
13#82597C211yesmaximal, characteristic, complemented
14#77131C211yesmaximal, characteristic, complemented
15#77114C211yesmaximal, characteristic, complemented
16#77022C211yesmaximal, characteristic, complemented
17#76920C211yesmaximal, characteristic, complemented
18#76764C211yesmaximal, characteristic, complemented
19#76756C211yesmaximal, characteristic, complemented
20#76754C211yesmaximal, characteristic, complemented
21#76741C211yesmaximal, characteristic, complemented
22#76741C211yesmaximal, characteristic, complemented
23#76715C211yesmaximal, characteristic, complemented
24#76684C211yesmaximal, characteristic, complemented
25#76672C211yesmaximal, characteristic, complemented
26#75863C211yesmaximal, characteristic, complemented
27#75852C211yesmaximal, characteristic, complemented
28#75681C211yesmaximal, characteristic, complemented
29#75489C211yesmaximal, characteristic, complemented
30#74793C211yesmaximal, characteristic, complemented
31#74713C211yesmaximal, characteristic, complemented
32#45452—31nomaximal, Sylow
33C24×Dic3C2211yescharacteristic, complemented
34C22×#237C2211yescharacteristic
35C2×C3×#127C2211yescharacteristic
36C2×C3×#121C2211yescharacteristic
37C2×C3×#121C2211yescharacteristic, complemented
38C2×C3×#120C2211yescharacteristic
39C2×C3×#120C2211yescharacteristic, complemented
40C2×C3×#120C2211yescharacteristic, complemented
41C2×#953C2211yescharacteristic
42C2×#953C2211yescharacteristic
43C2×#953C2211yescharacteristic, complemented
44C2×#940C2211yescharacteristic
45C2×#940C2211yescharacteristic
46C2×#939C2211yescharacteristic
47C2×#939C2211yescharacteristic
48C2×#939C2211yescharacteristic
49C2×#939C2211yescharacteristic
50C2×#939C2211yescharacteristic
51C2×#939C2211yescharacteristic
52C2×#939C2211yescharacteristic
53C2×#939C2211yescharacteristic
54C2×#939C2211yescharacteristic, complemented
55C2×#938C2211yescharacteristic
56C2×#938C2211yescharacteristic, complemented
57C2×#938C2211yescharacteristic, complemented
58C2×#937C2211yescharacteristic
59C2×#937C2211yescharacteristic
60C2×#937C2211yescharacteristic
61C2×#937C2211yescharacteristic, complemented
62C2×#937C2211yescharacteristic, complemented
63C2×#935C2211yescharacteristic, complemented
64C2×D4×Dic3C2211yescharacteristic, complemented
65C2×D4×Dic3C2211yescharacteristic, complemented
66C2×#930C2211yescharacteristic, complemented
67C2×#929C2211yescharacteristic, complemented
68#5620—28no—
69#5586—28no—
70C2×#898C2211yescharacteristic, complemented
71C2×#894C2211yescharacteristic, complemented
72C2×#886C2211yescharacteristic
73C2×#885C2211yescharacteristic, complemented
74C2×#884C2211yescharacteristic
75C2×#884C2211yescharacteristic
76C2×#882C2211yescharacteristic, complemented
77C2×#67⋊C4C2211yescharacteristic
78C2×#67⋊C4C2211yescharacteristic
79C2×D3×C22⋊C4C2211yescharacteristic, complemented
80C2×#879C2211yescharacteristic, complemented
81C2×#878C2211yescharacteristic, complemented
82C2×#878C2211yescharacteristic, complemented
83C2×#877C2211yescharacteristic, complemented
84C3×#394C2211yescharacteristic
85C3×#394C2211yescharacteristic, complemented
86C3×#392C2211yescharacteristic
87C3×#392C2211yescharacteristic
88C3×#392C2211yescharacteristic
89C3×#392C2211yescharacteristic, complemented
90C3×#388C2211yescharacteristic, complemented
91C3×#388C2211yescharacteristic, complemented
92C3×#386C2211yescharacteristic, complemented
93#5223C2211yescharacteristic
94#5223C2211yescharacteristic
95#5223C2211yescharacteristic
96#5223C2211yescharacteristic, complemented
97#5223C2211yescharacteristic, complemented
98#5223C2211yescharacteristic, complemented
99#5223C2211yescharacteristic, complemented
100#5223C2211yescharacteristic, complemented
101#5223C2211yescharacteristic, complemented
102#5222C2211yescharacteristic
103#5222C2211yescharacteristic
104#5222C2211yescharacteristic, complemented
105#5222C2211yescharacteristic, complemented
106#5222C2211yescharacteristic, complemented
107#5222C2211yescharacteristic, complemented
108#5222C2211yescharacteristic, complemented
109#5221C2211yescharacteristic
110#5221C2211yescharacteristic, complemented
111#5220C2211yescharacteristic
112#5220C2211yescharacteristic
113#5220C2211yescharacteristic
114#5220C2211yescharacteristic, complemented
115#5220C2211yescharacteristic, complemented
116#5220C2211yescharacteristic, complemented
117#5220C2211yescharacteristic, complemented
118#5210C2211yescharacteristic, complemented
119C4×#217C2211yescharacteristic, complemented
120#4989C2211yescharacteristic, complemented
121#4988C2211yescharacteristic, complemented
122#4982C2211yescharacteristic, complemented
123#4981C2211yescharacteristic, complemented
124#4978C2211yescharacteristic, complemented
125#4972C2211yescharacteristic, complemented
126#4961C2211yescharacteristic
127#4961C2211yescharacteristic
128#4961C2211yescharacteristic
129#4961C2211yescharacteristic, complemented
130#4960C2211yescharacteristic
131#4960C2211yescharacteristic
132#4960C2211yescharacteristic, complemented
133#4959C2211yescharacteristic
134#4959C2211yescharacteristic
135#4959C2211yescharacteristic, complemented
136#4959C2211yescharacteristic, complemented
137#4959C2211yescharacteristic, complemented
138#4959C2211yescharacteristic, complemented
139#4958C2211yescharacteristic
140#4958C2211yescharacteristic
141#4958C2211yescharacteristic
142#4958C2211yescharacteristic, complemented
143#4958C2211yescharacteristic, complemented
144#4958C2211yescharacteristic, complemented
145#4958C2211yescharacteristic, complemented
146#4957C2211yescharacteristic
147#4957C2211yescharacteristic
148#4956C2211yescharacteristic
149#4956C2211yescharacteristic, complemented
150#4956C2211yescharacteristic, complemented
151#4956C2211yescharacteristic, complemented
152#4951C2211yescharacteristic, complemented
153#4951C2211yescharacteristic, complemented
154#4949C2211yescharacteristic, complemented
155#4949C2211yescharacteristic, complemented
156#4948C2211yescharacteristic, complemented
157#4948C2211yescharacteristic, complemented
158#4947C2211yescharacteristic, complemented
159#4945C2211yescharacteristic, complemented
160#4945C2211yescharacteristic, complemented
161#4945C2211yescharacteristic, complemented
162#4944C2211yescharacteristic, complemented
163#4942C2211yescharacteristic, complemented
164#4942C2211yescharacteristic, complemented
165#4942C2211yescharacteristic, complemented
166#4942C2211yescharacteristic, complemented
167#4942C2211yescharacteristic, complemented
168#4942C2211yescharacteristic, complemented
169Dic3×C22⋊C4C2211yescharacteristic, complemented
170#4940C2211yescharacteristic, complemented
171#4940C2211yescharacteristic, complemented
172C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
173#4928C2211yescharacteristic, complemented
174#4676C2211yescharacteristic, complemented
175#4676C2211yescharacteristic, complemented
176#4673C2211yescharacteristic, complemented
177#4672C2211yescharacteristic, complemented
178#4670C2211yescharacteristic, complemented
179#4669C2211yescharacteristic, complemented
180#4668C2211yescharacteristic, complemented
181#4668C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183#4664C2211yescharacteristic, complemented
184#4658C2211yescharacteristic, complemented
185#4658C2211yescharacteristic, complemented
186#4654C2211yescharacteristic, complemented
187#4653C2211yescharacteristic, complemented
188#4653C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#560—31no—
191C2×#525—31no—
192#2847—31no—
193#2847—31no—
194#2813—31no—
195#2813—31no—
196#2702—31no—
197#2702—31no—
198#2679—31no—
199#2676—31no—
200#2676—31no—
201#2671—31no—
202#2671—31no—
203#2669—31no—
204#2669—31no—
205#2669—31no—
206#2669—31no—
207#2669D311yescharacteristic, complemented
208#2476—31no—
209#2476—31no—
210#2467—31no—
211#2467—31no—
212#2457—31no—
213#2457—31no—
214#2431—31no—
215#2428—31no—
216#2428—31no—
217#2424—31no—
218#2424—31no—
219#2404—31no—
220#2376—31no—
221C25×C3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C22×C3×D4C2311yescharacteristic
232C22×C3×D4C2311yescharacteristic
233C22×C3×D4C2311yescharacteristic
234C22×C3×D4C2311yescharacteristic
235C23×C3×C4C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C22×#67C2311yescharacteristic
250C22×#67C2311yescharacteristic
251C22×#67C2311yescharacteristic
252C23×Dic3—24no—
253C23×Dic3—42no—
254C23×Dic3—42no—
255C23×Dic3C2311yescharacteristic
256C23×Dic3C2311yescharacteristic
257C23×Dic3C2311yescharacteristic
258C23×Dic3C2311yescharacteristic
259C23×Dic3C2311yescharacteristic
260C23×Dic3C2311yescharacteristic
261C23×Dic3C2311yescharacteristic
262C2×#237—24no—
263C2×#237—42no—
264C2×#237—42no—
265C22×D12C2311yescharacteristic
266C22×D12C2311yescharacteristic
267C22×C4×D3C2311yescharacteristic
268C22×C4×D3C2311yescharacteristic
269C22×C4×D3C2311yescharacteristic
270C22×Dic6C2311yescharacteristic
271C3×#127—42no—
272C3×#121—24no—
273C3×#121—42no—
274C3×#120—24no—
275C3×#120—42no—
276C3×#120—42no—
277C2×C3×C4⋊C4C2311yescharacteristic
278C2×C3×C4⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C42C2311yescharacteristic
294#953—24no—
295#953—42no—
296#953—42no—
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313C2×#217C2311yescharacteristic
314C2×#217C2311yescharacteristic
315C2×#217C2311yescharacteristic
316C2×#217C2311yescharacteristic
317C2×#217C2311yescharacteristic
318C2×#217C2311yescharacteristic
319C2×#217C2311yescharacteristic
320C2×#217C2311yescharacteristic
321#940—24no—
322#940—42no—
323#939—24no—
324#939—24no—
325#939—24no—
326#939—24no—
327#939—42no—
328#939—42no—
329#939—42no—
330#939—42no—
331#939—42no—
332#938—24no—
333#938—42no—
334#938—42no—
335#937—24no—
336#937—24no—
337#937—42no—
338#937—42no—
339#937—42no—
340#935—24no—
341D4×Dic3—24no—
342D4×Dic3—24no—
343#930—24no—
344#929—24no—
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×(C2×D3)⋊C4C2311yescharacteristic
351C2×(C2×D3)⋊C4C2311yescharacteristic
352C2×(C2×D3)⋊C4C2311yescharacteristic
353C2×(C2×D3)⋊C4C2311yescharacteristic
354C2×(C2×D3)⋊C4C2311yescharacteristic
355C2×(C2×D3)⋊C4C2311yescharacteristic
356C2×(C2×D3)⋊C4C2311yescharacteristic
357C2×(C2×D3)⋊C4C2311yescharacteristic
358C2×(C2×D3)⋊C4C2311yescharacteristic
359C2×(C2×D3)⋊C4C2311yescharacteristic
360C2×(C2×D3)⋊C4C2311yescharacteristic
361C2×(C2×D3)⋊C4C2311yescharacteristic
362C2×(C2×D3)⋊C4C2311yescharacteristic
363C2×(C2×D3)⋊C4C2311yescharacteristic
364C2×(C2×D3)⋊C4C2311yescharacteristic
365C2×C4⋊Dic3C2311yescharacteristic
366C2×C4⋊Dic3C2311yescharacteristic
367C2×C4⋊Dic3C2311yescharacteristic
368C2×C4⋊Dic3C2311yescharacteristic
369C2×C4⋊Dic3C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×Dic3⋊C4C2311yescharacteristic
374C2×Dic3⋊C4C2311yescharacteristic
375C2×Dic3⋊C4C2311yescharacteristic
376C2×Dic3⋊C4C2311yescharacteristic
377C2×Dic3⋊C4C2311yescharacteristic
378C2×Dic3⋊C4C2311yescharacteristic
379C2×Dic3⋊C4C2311yescharacteristic
380C2×Dic3⋊C4C2311yescharacteristic
381C2×Dic3⋊C4C2311yescharacteristic
382C2×Dic3⋊C4C2311yescharacteristic
383C2×Dic3⋊C4C2311yescharacteristic
384C2×C4×Dic3C2311yescharacteristic
385C2×C4×Dic3C2311yescharacteristic
386C2×C4×Dic3C2311yescharacteristic
387C2×C4×Dic3C2311yescharacteristic
388C2×C4×Dic3C2311yescharacteristic
389#898—24no—
390#894—24no—
391#886D418yescomplemented
392#885—42no—
393#884—24no—
394#884—42no—
395#882—24no—
396#67⋊C4—24no—
397#67⋊C4—24no—
398D3×C22⋊C4—42no—
399#879—24no—
400#878—24no—
401#878—24no—
402#877—24no—
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—
430C24×C4—31no—
431#560—68no—
432C2×#127—31no—
433C2×#127—31no—
434C2×#127C2×D311yescharacteristic
435C2×#126—31no—
436C2×#126—31no—
437C2×#124—31no—
438#525—68no—
439C2×#123—31no—
440C2×#123—31no—
441C2×#123—31no—
442C2×#123—31no—
443C2×C22⋊Q8—31no—
444C2×C22⋊Q8—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×#121—31no—
455C2×#121—31no—
456C2×#121—31no—
457C2×#121—31no—
458C2×#121—31no—
459C2×#121—31no—
460C2×#121C2×D311yescharacteristic
461C2×#121C2×D311yescharacteristic, complemented
462C2×#120—31no—
463C2×#120—31no—
464C2×#120—31no—
465C2×#120—31no—
466C2×#120—31no—
467C2×#120—31no—
468C2×#120—31no—
469C2×#120—31no—
470C2×#120—31no—
471C2×#120C2×D311yescharacteristic
472C2×#120C2×D311yescharacteristic, complemented
473C2×#120C2×D311yescharacteristic, complemented
474C2×C4×D4—31no—
475C2×C4×D4—31no—
476C2×C4×D4—31no—
477C2×C4×D4—31no—
478C2×#117—31no—
479C22×C22⋊C4—31no—
480#400—31no—
481#400—31no—
482#399—31no—
483#399—31no—
484#398—31no—
485#398—31no—
486#396—31no—
487#396—31no—
488#396—31no—
489#396—31no—
490#394—31no—
491#394—31no—
492#394—31no—
493#394—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#394—31no—
505#394—31no—
506#394—31no—
507#394—31no—
508#394C2×D311yescharacteristic
509#394C2×D311yescharacteristic, complemented
510#393—31no—
511#393—31no—
512#392—31no—
513#392—31no—
514#392—31no—
515#392—31no—
516#392—31no—
517#392—31no—
518#392—31no—
519#392—31no—
520#392—31no—
521#392—31no—
522#392—31no—
523#392—31no—
524#392C2×D311yescharacteristic
525#392C2×D311yescharacteristic
526#392C2×D311yescharacteristic
527#392C2×D311yescharacteristic, complemented
528#391—31no—
529#390—31no—
530#390—31no—
531#390—31no—
532#390—31no—
533#390—31no—
534#389—31no—
535#389—31no—
536#388—31no—
537#388—31no—
538#388—31no—
539#388—31no—
540#388—31no—
541#388—31no—
542#388—31no—
543#388—31no—
544#388—31no—
545#388—31no—
546#388C2×D311yescharacteristic, complemented
547#388C2×D311yescharacteristic, complemented
548#387—31no—
549#387—31no—
550#387—31no—
551#387—31no—
552#386—31no—
553#386—31no—
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#386—31no—
567#386—31no—
568#386—31no—
569#386—31no—
570#386—31no—
571#386C2×D311yescharacteristic, complemented
572#385—31no—
573#385—31no—
574#385—31no—
575#385—31no—
576#381—31no—
577#380—31no—
578#380—31no—
579#380—31no—
580#380—31no—
581#380—31no—
582#380—31no—
583C4×C22⋊C4—31no—
584C4×C22⋊C4—31no—
585C4×C22⋊C4—31no—
586C24×C3—22no—
587C24×C3—22no—
588C24×C3—22no—
589C24×C3—41no—
590C24×C3—41no—
591C24×C3—41no—
592C24×C3—41no—
593C24×C3C2411yescharacteristic
594C24×C3C2411yescharacteristic
595C24×C3C2411yescharacteristic
596C24×C3C2411yescharacteristic
597C24×C3C2411yescharacteristic
598C24×C3C2411yescharacteristic
599C23×D3—22no—
600C23×D3—41no—
601C23×D3—41no—
602C23×D3—41no—
603C23×D3—41no—
604C23×D3—41no—
605C23×D3—41no—
606C23×D3C2411yescharacteristic
607C23×D3C2411yescharacteristic
608C23×D3C2411yescharacteristic
609C2×C3×D4—22no—
610C2×C3×D4—22no—
611C2×C3×D4—22no—
612C2×C3×D4—22no—
613C2×C3×D4—22no—
614C2×C3×D4—22no—
615C2×C3×D4—22no—
616C2×C3×D4—22no—
617C2×C3×D4—22no—
618C2×C3×D4—22no—
619C2×C3×D4—22no—
620C2×C3×D4—22no—
621C2×C3×D4—41no—
622C2×C3×D4—41no—
623C2×C3×D4—41no—
624C2×C3×D4—41no—
625C2×C3×D4—41no—
626C2×C3×D4—41no—
627C2×C3×D4—41no—
628C2×C3×D4—41no—
629C2×C3×D4—41no—
630C2×C3×D4—41no—
631C2×C3×D4—41no—
632C2×C3×D4—41no—
633C2×C3×D4—41no—
634C2×C3×D4—41no—
635C2×C3×D4—41no—
636C2×C3×D4—41no—
637C2×C3×D4—41no—
638C2×C3×D4—41no—
639C2×C3×D4—41no—
640C2×C3×D4—41no—
641C2×C3×D4—41no—
642C2×C3×D4—41no—
643C2×C3×D4—41no—
644C2×C3×D4—41no—
645C22×C3×C4—22no—
646C22×C3×C4—41no—
647C22×C3×C4—41no—
648C22×C3×C4C2411yescharacteristic
649C22×C3×C4C2411yescharacteristic
650C22×C3×C4C2411yescharacteristic
651C22×C3×C4C2411yescharacteristic
652C22×C3×C4C2411yescharacteristic
653C22×C3×C4C2411yescharacteristic
654C22×C3×C4C2411yescharacteristic
655C22×C3×C4C2411yescharacteristic
656C22×C3×C4C2411yescharacteristic
657C2×#67—22no—
658C2×#67—22no—
659C2×#67—22no—
660C2×#67—22no—
661C2×#67—22no—
662C2×#67—22no—
663C2×#67—22no—
664C2×#67—22no—
665C2×#67—22no—
666C2×#67—22no—
667C2×#67—22no—
668C2×#67—22no—
669C2×#67—22no—
670C2×#67—22no—
671C2×#67—22no—
672C2×#67—22no—
673C2×#67—41no—
674C2×#67—41no—
675C2×#67—41no—
676C2×#67—41no—
677C2×#67—41no—
678C2×#67—41no—
679C2×#67—41no—
680C2×#67—41no—
681C2×#67—41no—
682C2×#67—41no—
683C2×#67—41no—
684C2×#67—41no—
685C2×#67—41no—
686C2×#67—41no—
687C2×#67—41no—
688C2×#67—41no—
689C2×#67—41no—
690C2×#67—41no—
691C2×#67—41no—
692C2×#67—41no—
693C2×#67—41no—
694C2×#67—41no—
695C2×#67—41no—
696C2×#67—41no—
697C2×#67—41no—
698C2×#67—41no—
699C2×#67—41no—
700C2×#67—41no—
701C2×#67—41no—
702C2×#67—41no—
703C2×#67—41no—
704C2×#67C2×D414yes—
705C22×Dic3—22no—
706C22×Dic3—22no—
707C22×Dic3—22no—
708C22×Dic3—22no—
709C22×Dic3—22no—
710C22×Dic3—22no—
711C22×Dic3—22no—
712C22×Dic3—22no—
713C22×Dic3—22no—
714C22×Dic3—22no—
715C22×Dic3—22no—
716C22×Dic3—22no—
717C22×Dic3—22no—
718C22×Dic3—41no—
719C22×Dic3—41no—
720C22×Dic3—41no—
721C22×Dic3—41no—
722C22×Dic3—41no—
723C22×Dic3—41no—
724C22×Dic3—41no—
725C22×Dic3—416no—
726C22×Dic3C2×D414yes—
727C22×Dic3C2411yescharacteristic
728C22×Dic3C2411yescharacteristic
729C22×Dic3C2411yescharacteristic
730C22×Dic3C2411yescharacteristic
731C22×Dic3C2411yescharacteristic
732C22×Dic3C2411yescharacteristic
733C22×Dic3C2411yescharacteristic
734C22×Dic3C2411yescharacteristic
735C22×Dic3C2411yescharacteristic
736C22×Dic3C2411yescharacteristic
737C22×Dic3C2411yescharacteristic
738C22×Dic3C2411yescharacteristic
739C22×Dic3C2411yescharacteristic
740#237—416no—
741C2×D12—22no—
742C2×D12—22no—
743C2×D12—41no—
744C2×D12—41no—
745C2×D12—41no—
746C2×D12—41no—
747C2×C4×D3—22no—
748C2×C4×D3—22no—
749C2×C4×D3—22no—
750C2×C4×D3—41no—
751C2×C4×D3—41no—
752C2×C4×D3—41no—
753C2×C4×D3—41no—
754C2×C4×D3—41no—
755C2×C4×D3—41no—
756C2×Dic6—22no—
757C2×Dic6—22no—
758C2×Dic6—41no—
759C3×C4⋊C4—22no—
760C3×C4⋊C4—41no—
761C3×C22⋊C4—22no—
762C3×C22⋊C4—22no—
763C3×C22⋊C4—22no—
764C3×C22⋊C4—22no—
765C3×C22⋊C4—22no—
766C3×C22⋊C4—41no—
767C3×C22⋊C4—41no—
768C3×C22⋊C4—41no—
769C3×C22⋊C4—41no—
770C3×C22⋊C4—41no—
771C3×C22⋊C4—41no—
772C3×C22⋊C4—41no—
773C3×C22⋊C4—41no—
774C3×C22⋊C4C2×D414yes—
775C3×C42—41no—
776#217—22no—
777#217—22no—
778#217—22no—
779#217—22no—
780#217—22no—
781#217—22no—
782#217—22no—
783#217—22no—
784#217—22no—
785#217—22no—
786#217—22no—
787#217—22no—
788#217—22no—
789#217—22no—
790#217—41no—
791#217—41no—
792#217—41no—
793#217—41no—
794#217—41no—
795#217—41no—
796#217—41no—
797#217—41no—
798#217—41no—
799#217—41no—
800(C2×D3)⋊C4—22no—
801(C2×D3)⋊C4—22no—
802(C2×D3)⋊C4—22no—
803(C2×D3)⋊C4—22no—
804(C2×D3)⋊C4—22no—
805(C2×D3)⋊C4—22no—
806(C2×D3)⋊C4—22no—
807(C2×D3)⋊C4—22no—
808(C2×D3)⋊C4—22no—
809(C2×D3)⋊C4—41no—
810(C2×D3)⋊C4—41no—
811(C2×D3)⋊C4—41no—
812(C2×D3)⋊C4—41no—
813(C2×D3)⋊C4—41no—
814(C2×D3)⋊C4—41no—
815(C2×D3)⋊C4—41no—
816(C2×D3)⋊C4—41no—
817(C2×D3)⋊C4—41no—
818(C2×D3)⋊C4C2×D414yes—
819(C2×D3)⋊C4C2×D414yes—
820C4⋊Dic3—41no—
821C4⋊Dic3—41no—
822C4⋊Dic3—41no—
823C4⋊Dic3C2×D414yes—
824C4⋊Dic3C2×D414yes—
825Dic3⋊C4—22no—
826Dic3⋊C4—22no—
827Dic3⋊C4—22no—
828Dic3⋊C4—22no—
829Dic3⋊C4—22no—
830Dic3⋊C4—22no—
831Dic3⋊C4—22no—
832Dic3⋊C4—41no—
833Dic3⋊C4—41no—
834Dic3⋊C4—41no—
835Dic3⋊C4—41no—
836Dic3⋊C4—41no—
837Dic3⋊C4—41no—
838Dic3⋊C4—41no—
839C4×Dic3—22no—
840C4×Dic3—22no—
841C4×Dic3—22no—
842C4×Dic3—41no—
843C4×Dic3—41no—
844C25—31no—
845C25C22×D311yescharacteristic
846C2×#41—64no—
847C2×#41—122no—
848C2×#41—122no—
849C22×Q8—31no—
850C22×D4—31no—
851C22×D4—31no—
852C22×D4—31no—
853C22×D4—31no—
854C22×D4—31no—
855C22×D4—31no—
856C22×D4—31no—
857C22×D4—31no—
858C22×D4—31no—
859C22×D4—31no—
860C22×D4—31no—
861C22×D4—31no—
862C22×D4—31no—
863C22×D4—31no—
864C22×D4—31no—
865C22×D4—31no—
866C22×D4—31no—
867C22×D4—31no—
868C22×D4C22×D311yescharacteristic
869C22×D4C22×D311yescharacteristic
870C22×D4C22×D311yescharacteristic
871C22×D4C22×D311yescharacteristic
872C22×D4C22×D311yescharacteristic
873C22×D4C22×D311yescharacteristic
874C22×D4C22×D311yescharacteristic
875C22×D4C22×D311yescharacteristic
876C22×D4C22×D311yescharacteristic
877C22×D4C22×D311yescharacteristic
878C22×D4C22×D311yescharacteristic
879C22×D4C22×D311yescharacteristic
880C23×C4—31no—
881C23×C4—31no—
882C23×C4—31no—
883C23×C4—31no—
884C23×C4—31no—
885C23×C4—31no—
886C23×C4—31no—
887C23×C4—31no—
888C23×C4—31no—
889C23×C4—31no—
890C23×C4—64no—
891C23×C4—122no—
892C23×C4—122no—
893C23×C4C22×D311yescharacteristic
894#127—42no—
895#127—64no—
896#127—122no—
897#126—64no—
898#126—64no—
899#124—122no—
900#123—38no—
901#123—64no—
902#123—64no—
903#123—64no—
904C22⋊Q8—64no—
905C22⋊Q8—64no—
906#121—24no—
907#121—42no—
908#121—64no—
909#121—64no—
910#121—64no—
911#121—64no—
912#121—64no—
913#121—64no—
914#121—64no—
915#121—122no—
916#121—122no—
917#121—122no—
918#121—122no—
919#121—122no—
920#121—122no—
921#121—122no—
922#121—122no—
923#120—24no—
924#120—42no—
925#120—42no—
926#120—64no—
927#120—64no—
928#120—64no—
929#120—64no—
930#120—122no—
931#120—122no—
932#120—122no—
933#120—122no—
934#120—122no—
935C4×D4—64no—
936C4×D4—64no—
937C4×D4—64no—
938C4×D4—64no—
939#117—64no—
940C2×C4⋊C4—31no—
941C2×C4⋊C4—31no—
942C2×C4⋊C4—31no—
943C2×C4⋊C4—31no—
944C2×C4⋊C4—31no—
945C2×C4⋊C4—31no—
946C2×C4⋊C4—31no—
947C2×C4⋊C4—31no—
948C2×C4⋊C4—31no—
949C2×C4⋊C4—31no—
950C2×C4⋊C4—31no—
951C2×C4⋊C4—31no—
952C2×C4⋊C4—31no—
953C2×C4⋊C4—31no—
954C2×C4⋊C4—31no—
955C2×C4⋊C4—31no—
956C2×C4⋊C4—31no—
957C2×C4⋊C4—31no—
958C2×C4⋊C4—31no—
959C2×C4⋊C4C22×D311yescharacteristic
960C2×C4⋊C4C22×D311yescharacteristic
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—31no—
988C2×C22⋊C4—31no—
989C2×C22⋊C4—31no—
990C2×C22⋊C4—31no—
991C2×C22⋊C4—31no—
992C2×C22⋊C4—31no—
993C2×C22⋊C4—31no—
994C2×C22⋊C4—31no—
995C2×C22⋊C4—31no—
996C2×C22⋊C4—31no—
997C2×C22⋊C4—31no—
998C2×C22⋊C4—31no—
999C2×C22⋊C4—31no—
1000C2×C22⋊C4—31no—
1001C2×C22⋊C4—31no—
1002C2×C22⋊C4—31no—
1003C2×C22⋊C4—31no—
1004C2×C22⋊C4—31no—
1005C2×C22⋊C4—122no—
1006C2×C22⋊C4C22×D311yescharacteristic
1007C2×C22⋊C4C22×D311yescharacteristic
1008C2×C22⋊C4C22×D311yescharacteristic
1009C2×C22⋊C4C22×D311yescharacteristic
1010C2×C22⋊C4C22×D311yescharacteristic
1011C2×C22⋊C4C22×D311yescharacteristic
1012C2×C22⋊C4C22×D311yescharacteristic
1013C2×C22⋊C4C22×D311yescharacteristic
1014C2×C22⋊C4C22×D311yescharacteristic
1015C2×C22⋊C4C22×D311yescharacteristic
1016C2×C22⋊C4C22×D311yescharacteristic
1017C2×C22⋊C4C22×D311yescharacteristic
1018C2×C22⋊C4C22×D311yescharacteristic
1019C2×C22⋊C4C22×D311yescharacteristic
1020C2×C42—31no—
1021C2×C42—31no—
1022C2×C42—31no—
1023C2×C42—31no—
1024C2×C42—31no—
1025C2×C42C22×D311yescharacteristic
1026#95—31no—
1027#95—31no—
1028#95—31no—
1029#95—31no—
1030#95—31no—
1031#95—31no—
1032#95—31no—
1033#95—31no—
1034#95—31no—
1035#95—31no—
1036#95—31no—
1037#95—31no—
1038#95—31no—
1039#95—31no—
1040#95—31no—
1041#95—31no—
1042#95—31no—
1043#95—31no—
1044#95—31no—
1045#95—31no—
1046#95—31no—
1047#95—31no—
1048#95C22×D311yescharacteristic
1049#95C22×D311yescharacteristic
1050#95C22×D311yescharacteristic
1051#95C22×D311yescharacteristic
1052C23×C3—21no—
1053C23×C3—21no—
1054C23×C3—21no—
1055C23×C3—21no—
1056C23×C3—21no—
1057C23×C3—21no—
1058C23×C3—21no—
1059C23×C3—21no—
1060C23×C3—21no—
1061C23×C3—21no—
1062C23×C3—21no—
1063C23×C3—21no—
1064C23×C3—21no—
1065C23×C3—21no—
1066C23×C3—21no—
1067C23×C3—21no—
1068C23×C3—21no—
1069C23×C3—21no—
1070C23×C3—21no—
1071C23×C3—21no—
1072C23×C3—21no—
1073C23×C3—21no—
1074C23×C3—21no—
1075C23×C3—21no—
1076C23×C3—21no—
1077C23×C3—21no—
1078C23×C3—21no—
1079C23×C3—21no—
1080C23×C3—21no—
1081C23×C3—21no—
1082C23×C3—21no—
1083C23×C3—21no—
1084C23×C3—21no—
1085C23×C3—21no—
1086C23×C3—21no—
1087C23×C3—21no—
1088C23×C3—21no—
1089C23×C3—21no—
1090C23×C3—21no—
1091C23×C3—44no—
1092C23×C3—44no—
1093C23×C3—44no—
1094C23×C3—44no—
1095C23×C3—44no—
1096C23×C3—44no—
1097C23×C3—44no—
1098C23×C3C22×D412yes—
1099C23×C3H(5,𝔽2)12yes—
1100C23×C3H(5,𝔽2)12yes—
1101C23×C3C2511yescharacteristic
1102C22×D3—21no—
1103C22×D3—21no—
1104C22×D3—21no—
1105C22×D3—21no—
1106C22×D3—21no—
1107C22×D3—21no—
1108C22×D3—21no—
1109C22×D3—21no—
1110C22×D3—21no—
1111C22×D3—21no—
1112C22×D3—21no—
1113C22×D3—21no—
1114C22×D3—21no—
1115C22×D3—21no—
1116C22×D3—21no—
1117C22×D3—21no—
1118C22×D3—21no—
1119C22×D3—21no—
1120C22×D3—21no—
1121C22×D3—21no—
1122C22×D3—44no—
1123C22×D3—82no—
1124C22×D3—82no—
1125C22×D3—82no—
1126C22×D3—82no—
1127C22×D3—82no—
1128C22×D3—82no—
1129C22×D3C22×D412yes—
1130C3×D4—44no—
1131C3×D4—44no—
1132C3×D4—44no—
1133C3×D4—82no—
1134C3×D4—82no—
1135C3×D4—82no—
1136C3×D4—82no—
1137C3×D4—82no—
1138C3×D4—82no—
1139C3×D4—82no—
1140C3×D4—82no—
1141C3×D4—82no—
1142C2×C3×C4—21no—
1143C2×C3×C4—21no—
1144C2×C3×C4—21no—
1145C2×C3×C4—21no—
1146C2×C3×C4—21no—
1147C2×C3×C4—21no—
1148C2×C3×C4—21no—
1149C2×C3×C4—21no—
1150C2×C3×C4—21no—
1151C2×C3×C4—21no—
1152C2×C3×C4—21no—
1153C2×C3×C4—21no—
1154C2×C3×C4—21no—
1155C2×C3×C4—21no—
1156C2×C3×C4—21no—
1157C2×C3×C4—21no—
1158C2×C3×C4—21no—
1159C2×C3×C4—21no—
1160C2×C3×C4—21no—
1161C2×C3×C4—21no—
1162C2×C3×C4—21no—
1163C2×C3×C4—21no—
1164C2×C3×C4—21no—
1165C2×C3×C4—21no—
1166C2×C3×C4—21no—
1167C2×C3×C4—82no—
1168C2×C3×C4C22×D412yes—
1169C2×C3×C4C22×D412yes—
1170#67—44no—
1171#67—44no—
1172#67—44no—
1173#67—44no—
1174#67—82no—
1175#67—82no—
1176#67—82no—
1177#67—82no—
1178#67—82no—
1179#67—82no—
1180#67—82no—
1181#67—82no—
1182#67—82no—
1183#67—82no—
1184#67—82no—
1185#67—82no—
1186C2×Dic3—28no—
1187C2×Dic3—21no—
1188C2×Dic3—21no—
1189C2×Dic3—21no—
1190C2×Dic3—21no—
1191C2×Dic3—21no—
1192C2×Dic3—21no—
1193C2×Dic3—21no—
1194C2×Dic3—21no—
1195C2×Dic3—21no—
1196C2×Dic3—21no—
1197C2×Dic3—21no—
1198C2×Dic3—21no—
1199C2×Dic3—21no—
1200C2×Dic3—21no—
1201C2×Dic3—21no—
1202C2×Dic3—21no—
1203C2×Dic3—21no—
1204C2×Dic3—21no—
1205C2×Dic3—21no—
1206C2×Dic3—21no—
1207C2×Dic3—21no—
1208C2×Dic3—21no—
1209C2×Dic3—21no—
1210C2×Dic3—21no—
1211C2×Dic3—21no—
1212C2×Dic3—21no—
1213C2×Dic3—21no—
1214C2×Dic3—21no—
1215C2×Dic3—21no—
1216C2×Dic3—21no—
1217C2×Dic3—21no—
1218C2×Dic3—21no—
1219C2×Dic3—21no—
1220C2×Dic3—21no—
1221C2×Dic3—44no—
1222C2×Dic3—44no—
1223C2×Dic3—44no—
1224C2×Dic3—44no—
1225C2×Dic3—44no—
1226C2×Dic3—44no—
1227C2×Dic3C22×D412yes—
1228C2×Dic3C22×D412yes—
1229C2×Dic3C22×D412yes—
1230C2×Dic3H(5,𝔽2)12yes—
1231C2×Dic3H(5,𝔽2)12yes—
1232D12—82no—
1233D12—82no—
1234C4×D3—44no—
1235C4×D3—82no—
1236C4×D3—82no—
1237Dic6—44no—
1238C24—22no—
1239C24—22no—
1240C24—22no—
1241C24—31no—
1242C24—31no—
1243C24—31no—
1244C24—41no—
1245C24—41no—
1246C24—41no—
1247C24—41no—
1248C24—62no—
1249C24—121no—
1250C24—121no—
1251C24—121no—
1252C24—121no—
1253C24—121no—
1254C24—121no—
1255C24C23×D311yescharacteristic
1256C24C23×D311yescharacteristic
1257C24C23×D311yescharacteristic
1258C24C23×D311yescharacteristic
1259C24C23×D311yescharacteristic
1260C24C23×D311yescharacteristic
1261#41—1216no—
1262C2×Q8—62no—
1263C2×Q8—62no—
1264C2×Q8—121no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—34no—
1278C2×D4—41no—
1279C2×D4—41no—
1280C2×D4—41no—
1281C2×D4—41no—
1282C2×D4—41no—
1283C2×D4—41no—
1284C2×D4—41no—
1285C2×D4—41no—
1286C2×D4—41no—
1287C2×D4—41no—
1288C2×D4—41no—
1289C2×D4—41no—
1290C2×D4—41no—
1291C2×D4—41no—
1292C2×D4—41no—
1293C2×D4—41no—
1294C2×D4—41no—
1295C2×D4—41no—
1296C2×D4—41no—
1297C2×D4—41no—
1298C2×D4—41no—
1299C2×D4—41no—
1300C2×D4—41no—
1301C2×D4—41no—
1302C2×D4—62no—
1303C2×D4—62no—
1304C2×D4—62no—
1305C2×D4—62no—
1306C2×D4—62no—
1307C2×D4—62no—
1308C2×D4—62no—
1309C2×D4—62no—
1310C2×D4—62no—
1311C2×D4—62no—
1312C2×D4—62no—
1313C2×D4—62no—
1314C2×D4—62no—
1315C2×D4—62no—
1316C2×D4—62no—
1317C2×D4—62no—
1318C2×D4—62no—
1319C2×D4—62no—
1320C2×D4—121no—
1321C2×D4—121no—
1322C2×D4—121no—
1323C2×D4—121no—
1324C2×D4—121no—
1325C2×D4—121no—
1326C2×D4—121no—
1327C2×D4—121no—
1328C2×D4—121no—
1329C2×D4—121no—
1330C2×D4—121no—
1331C2×D4—121no—
1332C2×D4—121no—
1333C2×D4—121no—
1334C2×D4—121no—
1335C2×D4—121no—
1336C2×D4—121no—
1337C2×D4—121no—
1338C2×D4—121no—
1339C2×D4—121no—
1340C2×D4—121no—
1341C2×D4—121no—
1342C2×D4—121no—
1343C2×D4—121no—
1344C2×D4—121no—
1345C2×D4—121no—
1346C2×D4—121no—
1347C2×D4—121no—
1348C2×D4—121no—
1349C2×D4—121no—
1350C2×D4—121no—
1351C2×D4—121no—
1352C2×D4—121no—
1353C2×D4—121no—
1354C2×D4—121no—
1355C22×C4—22no—
1356C22×C4—31no—
1357C22×C4—31no—
1358C22×C4—31no—
1359C22×C4—31no—
1360C22×C4—31no—
1361C22×C4—34no—
1362C22×C4—31no—
1363C22×C4—31no—
1364C22×C4—31no—
1365C22×C4—31no—
1366C22×C4—31no—
1367C22×C4—31no—
1368C22×C4—31no—
1369C22×C4—31no—
1370C22×C4—41no—
1371C22×C4—41no—
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—62no—
1385C22×C4—62no—
1386C22×C4—62no—
1387C22×C4—62no—
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—1216no—
1402C22×C4C23×D311yescharacteristic
1403C22×C4C23×D311yescharacteristic
1404C22×C4C23×D311yescharacteristic
1405C22×C4C23×D311yescharacteristic
1406C22×C4C23×D311yescharacteristic
1407C22×C4C23×D311yescharacteristic
1408C22×C4C23×D311yescharacteristic
1409C22×C4C23×D311yescharacteristic
1410C22×C4C23×D311yescharacteristic
1411C4⋊C4—22no—
1412C4⋊C4—34no—
1413C4⋊C4—34no—
1414C4⋊C4—41no—
1415C4⋊C4—62no—
1416C4⋊C4—62no—
1417C4⋊C4—62no—
1418C4⋊C4—62no—
1419C4⋊C4—62no—
1420C4⋊C4—62no—
1421C4⋊C4—62no—
1422C4⋊C4—121no—
1423C4⋊C4—121no—
1424C4⋊C4—121no—
1425C4⋊C4—121no—
1426C4⋊C4—121no—
1427C4⋊C4—121no—
1428C4⋊C4—121no—
1429C4⋊C4—121no—
1430C4⋊C4—121no—
1431C4⋊C4—121no—
1432C22⋊C4—22no—
1433C22⋊C4—22no—
1434C22⋊C4—22no—
1435C22⋊C4—22no—
1436C22⋊C4—22no—
1437C22⋊C4—34no—
1438C22⋊C4—34no—
1439C22⋊C4—41no—
1440C22⋊C4—41no—
1441C22⋊C4—41no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—62no—
1448C22⋊C4—62no—
1449C22⋊C4—62no—
1450C22⋊C4—62no—
1451C22⋊C4—62no—
1452C22⋊C4—62no—
1453C22⋊C4—62no—
1454C22⋊C4—62no—
1455C22⋊C4—62no—
1456C22⋊C4—62no—
1457C22⋊C4—62no—
1458C22⋊C4—62no—
1459C22⋊C4—62no—
1460C22⋊C4—62no—
1461C22⋊C4—62no—
1462C22⋊C4—62no—
1463C22⋊C4—62no—
1464C22⋊C4—62no—
1465C22⋊C4—62no—
1466C22⋊C4—62no—
1467C22⋊C4—62no—
1468C22⋊C4—62no—
1469C22⋊C4—62no—
1470C22⋊C4—121no—
1471C22⋊C4—121no—
1472C22⋊C4—121no—
1473C22⋊C4—121no—
1474C22⋊C4—121no—
1475C22⋊C4—121no—
1476C22⋊C4—121no—
1477C22⋊C4—121no—
1478C22⋊C4—121no—
1479C22⋊C4—121no—
1480C22⋊C4—121no—
1481C22⋊C4—121no—
1482C22⋊C4—121no—
1483C22⋊C4—121no—
1484C22⋊C4—121no—
1485C22⋊C4—121no—
1486C22⋊C4—121no—
1487C22⋊C4—121no—
1488C22⋊C4—121no—
1489C22⋊C4D3×D414yes—
1490C42—41no—
1491C42—62no—
1492C42—62no—
1493C42—62no—
1494C42—121no—
1495C42—121no—
1496C22×C3—22no—
1497C22×C3—22no—
1498C22×C3—22no—
1499C22×C3—22no—
1500C22×C3—22no—
1501C22×C3—22no—
1502C22×C3—22no—
1503C22×C3—22no—
1504C22×C3—22no—
1505C22×C3—416no—
1506C22×C3—41no—
1507C22×C3—41no—
1508C22×C3—41no—
1509C22×C3—41no—
1510C22×C3—41no—
1511C22×C3—41no—
1512C22×C3—41no—
1513C22×C3—41no—
1514C22×C3—41no—
1515C22×C3—41no—
1516C22×C3—41no—
1517C22×C3—41no—
1518C22×C3—41no—
1519C22×C3—41no—
1520C22×C3—41no—
1521C22×C3—41no—
1522C22×C3—41no—
1523C22×C3—41no—
1524C22×C3—41no—
1525C22×C3—41no—
1526C22×C3—41no—
1527C22×C3—41no—
1528C22×C3—41no—
1529C22×C3—41no—
1530C22×C3—41no—
1531C22×C3—41no—
1532C22×C3—41no—
1533C22×C3—41no—
1534C22×C3—41no—
1535C22×C3—41no—
1536C22×C3—41no—
1537C22×C3—41no—
1538C22×C3—41no—
1539C22×C3C23×D411yescharacteristic
1540C22×C3C2×H(5,𝔽2)11yescharacteristic
1541C22×C3C2×H(5,𝔽2)11yescharacteristic
1542C22×C3C2×H(5,𝔽2)11yescharacteristic
1543C22×C3C2×H(5,𝔽2)11yescharacteristic
1544C22×C3#58511yescharacteristic
1545C22×C3#58511yescharacteristic
1546C2×D3—22no—
1547C2×D3—22no—
1548C2×D3—22no—
1549C2×D3—41no—
1550C2×D3—41no—
1551C2×D3—41no—
1552C2×D3—41no—
1553C2×D3—41no—
1554C2×D3—41no—
1555C2×D3—41no—
1556C2×D3—41no—
1557C2×D3—41no—
1558C2×D3—41no—
1559C2×D3—41no—
1560C2×D3—41no—
1561C2×D3—41no—
1562C2×D3—41no—
1563C2×D3—41no—
1564C2×D3—41no—
1565C2×D3—41no—
1566C2×D3—41no—
1567C2×D3—88no—
1568C3×C4—22no—
1569C3×C4—22no—
1570C3×C4—41no—
1571C3×C4—41no—
1572C3×C4—41no—
1573C3×C4—41no—
1574C3×C4—41no—
1575C3×C4—41no—
1576C3×C4—41no—
1577Dic3—22no—
1578Dic3—22no—
1579Dic3—22no—
1580Dic3—22no—
1581Dic3—22no—
1582Dic3—41no—
1583Dic3—41no—
1584Dic3—41no—
1585Dic3—41no—
1586Dic3—41no—
1587Dic3—41no—
1588Dic3—41no—
1589Dic3—41no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—32no—
1630C23—44no—
1631C23—44no—
1632C23—44no—
1633C23—44no—
1634C23—44no—
1635C23—44no—
1636C23—44no—
1637C23—61no—
1638C23—61no—
1639C23—61no—
1640C23—61no—
1641C23—61no—
1642C23—61no—
1643C23—61no—
1644C23—61no—
1645C23—61no—
1646C23—61no—
1647C23—61no—
1648C23—61no—
1649C23—61no—
1650C23—61no—
1651C23—61no—
1652C23—61no—
1653C23—61no—
1654C23—61no—
1655C23—61no—
1656C23—61no—
1657C23—124no—
1658C23—242no—
1659C23—242no—
1660C23—242no—
1661C23—242no—
1662C23—242no—
1663C23—242no—
1664C23C2×D3×D412yes—
1665C23#100412yes—
1666C23#100412yes—
1667C23C24×D311yescharacteristic
1668Q8—124no—
1669D4—44no—
1670D4—44no—
1671D4—44no—
1672D4—82no—
1673D4—82no—
1674D4—82no—
1675D4—82no—
1676D4—82no—
1677D4—82no—
1678D4—82no—
1679D4—82no—
1680D4—82no—
1681D4—124no—
1682D4—124no—
1683D4—124no—
1684D4—124no—
1685D4—242no—
1686D4—242no—
1687D4—242no—
1688D4—242no—
1689D4—242no—
1690D4—242no—
1691D4—242no—
1692D4—242no—
1693D4—242no—
1694D4—242no—
1695D4—242no—
1696D4—242no—
1697D4—242no—
1698D4—242no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—32no—
1725C2×C4—32no—
1726C2×C4—32no—
1727C2×C4—32no—
1728C2×C4—32no—
1729C2×C4—68no—
1730C2×C4—61no—
1731C2×C4—61no—
1732C2×C4—61no—
1733C2×C4—61no—
1734C2×C4—61no—
1735C2×C4—61no—
1736C2×C4—61no—
1737C2×C4—61no—
1738C2×C4—61no—
1739C2×C4—61no—
1740C2×C4—61no—
1741C2×C4—61no—
1742C2×C4—61no—
1743C2×C4—61no—
1744C2×C4—61no—
1745C2×C4—61no—
1746C2×C4—61no—
1747C2×C4—61no—
1748C2×C4—61no—
1749C2×C4—61no—
1750C2×C4—61no—
1751C2×C4—61no—
1752C2×C4—61no—
1753C2×C4—61no—
1754C2×C4—61no—
1755C2×C4—61no—
1756C2×C4—61no—
1757C2×C4—61no—
1758C2×C4—61no—
1759C2×C4—61no—
1760C2×C4—61no—
1761C2×C4—61no—
1762C2×C4—61no—
1763C2×C4—61no—
1764C2×C4—82no—
1765C2×C4—124no—
1766C2×C4—124no—
1767C2×C4—124no—
1768C2×C4—124no—
1769C2×C4—124no—
1770C2×C4—124no—
1771C2×C4—124no—
1772C2×C4—242no—
1773C2×C4—242no—
1774C2×C4C2×D3×D412yes—
1775C2×C4C2×D3×D412yes—
1776C2×C3—42no—
1777C2×C3—42no—
1778C2×C3—42no—
1779C2×C3—81no—
1780C2×C3—81no—
1781C2×C3—81no—
1782C2×C3#348411yescharacteristic
1783C2×C3#348811yescharacteristic
1784C2×C3#348811yescharacteristic
1785C2×C3#352911yescharacteristic
1786C2×C3#353711yescharacteristic
1787C2×C3#354211yescharacteristic
1788C2×C3#354211yescharacteristic
1789D3—42no—
1790D3—81no—
1791D3—81no—
1792C22—22no—
1793C22—22no—
1794C22—22no—
1795C22—22no—
1796C22—22no—
1797C22—22no—
1798C22—22no—
1799C22—22no—
1800C22—22no—
1801C22—416no—
1802C22—41no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—62no—
1836C22—62no—
1837C22—62no—
1838C22—121no—
1839C22—121no—
1840C22—121no—
1841C22—121no—
1842C22—121no—
1843C22—121no—
1844C22—121no—
1845C22—121no—
1846C22—121no—
1847C22—121no—
1848C22—121no—
1849C22—121no—
1850C22—121no—
1851C22—121no—
1852C22—121no—
1853C22—121no—
1854C22—121no—
1855C22—121no—
1856C22—248no—
1857C22C22×D3×D411yescharacteristic
1858C22C2×#100411yescharacteristic
1859C22C2×#100411yescharacteristic
1860C22D3×H(5,𝔽2)11yescharacteristic
1861C22D3×H(5,𝔽2)11yescharacteristic
1862C22#596611yescharacteristic
1863C22#596611yescharacteristic
1864C4—22no—
1865C4—22no—
1866C4—41no—
1867C4—41no—
1868C4—41no—
1869C4—41no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—62no—
1874C4—62no—
1875C4—62no—
1876C4—62no—
1877C4—62no—
1878C4—121no—
1879C4—121no—
1880C4—121no—
1881C4—121no—
1882C4—121no—
1883C4—121no—
1884C4—121no—
1885C4—121no—
1886C3#4545211yescharacteristic, complemented, Sylow
1887C2—42no—
1888C2—42no—
1889C2—42no—
1890C2—81no—
1891C2—81no—
1892C2—81no—
1893C2—122no—
1894C2—241no—
1895C2—241no—
1896C2#8630211yescharacteristic
1897C2#8632311yescharacteristic
1898C2#8633011yescharacteristic
1899C2#8660711yescharacteristic
1900C2#8660711yescharacteristic
1901C2#8661411yescharacteristic
1902C2#8707011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2669C2
hypercenter#2669D3
hypocenterC3#45452
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2669

Complements

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

NH ≅ G/Ntype
1. C2×#5620C2semidirect
2. C2×#5586C2semidirect
3. C3×#2669C2semidirect
4. #83190C2semidirect
5. #83186C2semidirect
6. #82715C2semidirect
7. #82660C2semidirect
8. #82649C2semidirect
9. #82609C2semidirect
10. #82609C2semidirect
11. #82601C2semidirect
12. #82601C2semidirect
13. #82597C2semidirect
14. #77131C2semidirect
15. #77114C2semidirect
16. #77022C2semidirect
17. #76920C2semidirect
18. #76764C2semidirect
19. #76756C2semidirect
20. #76754C2semidirect
21. #76741C2semidirect
22. #76741C2semidirect
23. #76715C2semidirect
24. #76684C2semidirect
25. #76672C2semidirect
26. #75863C2semidirect
27. #75852C2semidirect
28. #75681C2semidirect
29. #75489C2semidirect
30. #74793C2semidirect
31. #74713C2semidirect
33. C24×Dic3C22semidirect
37. C2×C3×#121C22semidirect
39. C2×C3×#120C22semidirect
40. C2×C3×#120C22semidirect
43. C2×#953C22semidirect
54. C2×#939C22semidirect
56. C2×#938C22semidirect
57. C2×#938C22semidirect
61. C2×#937C22semidirect
62. C2×#937C22semidirect
63. C2×#935C22semidirect
64. C2×D4×Dic3C22semidirect
65. C2×D4×Dic3C22semidirect
66. C2×#930C22semidirect
67. C2×#929C22semidirect
70. C2×#898C22semidirect
71. C2×#894C22semidirect
73. C2×#885C22semidirect
76. C2×#882C22semidirect
79. C2×D3×C22⋊C4C22semidirect
80. C2×#879C22semidirect
81. C2×#878C22semidirect
82. C2×#878C22semidirect
83. C2×#877C22semidirect
85. C3×#394C22semidirect
89. C3×#392C22semidirect
90. C3×#388C22semidirect
91. C3×#388C22semidirect
92. C3×#386C22semidirect
96. #5223C22semidirect
97. #5223C22semidirect
98. #5223C22semidirect
99. #5223C22semidirect
100. #5223C22semidirect
101. #5223C22semidirect
104. #5222C22semidirect
105. #5222C22semidirect
106. #5222C22semidirect
107. #5222C22semidirect
108. #5222C22semidirect
110. #5221C22semidirect
114. #5220C22semidirect
115. #5220C22semidirect
116. #5220C22semidirect
117. #5220C22semidirect
118. #5210C22semidirect
119. C4×#217C22semidirect
120. #4989C22semidirect
121. #4988C22semidirect
122. #4982C22semidirect
123. #4981C22semidirect
124. #4978C22semidirect
125. #4972C22semidirect
129. #4961C22semidirect
132. #4960C22semidirect
135. #4959C22semidirect
136. #4959C22semidirect
137. #4959C22semidirect
138. #4959C22semidirect
142. #4958C22semidirect
143. #4958C22semidirect
144. #4958C22semidirect
145. #4958C22semidirect
149. #4956C22semidirect
150. #4956C22semidirect
151. #4956C22semidirect
152. #4951C22semidirect
153. #4951C22semidirect
154. #4949C22semidirect
155. #4949C22semidirect
156. #4948C22semidirect
157. #4948C22semidirect
158. #4947C22semidirect
159. #4945C22semidirect
160. #4945C22semidirect
161. #4945C22semidirect
162. #4944C22semidirect
163. #4942C22semidirect
164. #4942C22semidirect
165. #4942C22semidirect
166. #4942C22semidirect
167. #4942C22semidirect
168. #4942C22semidirect
169. Dic3×C22⋊C4C22semidirect
170. #4940C22semidirect
171. #4940C22semidirect
172. C4×(C2×D3)⋊C4C22semidirect
173. #4928C22semidirect
174. #4676C22semidirect
175. #4676C22semidirect
176. #4673C22semidirect
177. #4672C22semidirect
178. #4670C22semidirect
179. #4669C22semidirect
180. #4668C22semidirect
181. #4668C22semidirect
182. #4665C22semidirect
183. #4664C22semidirect
184. #4658C22semidirect
185. #4658C22semidirect
186. #4654C22semidirect
187. #4653C22semidirect
188. #4653C22semidirect
189. #4646C22semidirect
207. #2669D3semidirect
391. #886D4semidirect
461. C2×#121C2×D3semidirect
472. C2×#120C2×D3semidirect
473. C2×#120C2×D3semidirect
509. #394C2×D3semidirect
527. #392C2×D3semidirect
546. #388C2×D3semidirect
547. #388C2×D3semidirect
571. #386C2×D3semidirect
1886. C3#45452semidirect

Maximal subgroups

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

subgroupindex
C2×#56202
C2×#55862
C3×#26692
#831902
#831862
#827152
#826602
#826492
#826092
#826012
#825972
#771312
#771142
#770222
#769202
#767642
#767562
#767542
#767412
#767152
#766842
#766722
#758632
#758522
#756812
#754892
#747932
#747132
#454523