Finite Group Databasebeta

← #11070064

Subgroups — #11070064

Order 768.

2654 conjugacy classes of subgroups.

The subgroup lattice has 1830 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5657C211yesmaximal, characteristic, complemented
2C2×#5644C211yesmaximal, characteristic, complemented
3C3×#2696C211yesmaximal, characteristic, complemented
4#82849C211yesmaximal, characteristic, complemented
5#82780C211yesmaximal, characteristic, complemented
6#78212C211yesmaximal, characteristic, complemented
7#78150C211yesmaximal, characteristic, complemented
8#77689C211yesmaximal, characteristic, complemented
9#77493C211yesmaximal, characteristic, complemented
10#76921C211yesmaximal, characteristic, complemented
11#76895C211yesmaximal, characteristic, complemented
12#76822C211yesmaximal, characteristic, complemented
13#76792C211yesmaximal, characteristic, complemented
14#76792C211yesmaximal, characteristic, complemented
15#76790C211yesmaximal, characteristic, complemented
16#76703C211yesmaximal, characteristic, complemented
17#76673C211yesmaximal, characteristic, complemented
18#76476C211yesmaximal, characteristic, complemented
19#76468C211yesmaximal, characteristic, complemented
20#75919C211yesmaximal, characteristic, complemented
21#75452C211yesmaximal, characteristic, complemented
22#75152C211yesmaximal, characteristic, complemented
23#74940C211yesmaximal, characteristic, complemented
24#74916C211yesmaximal, characteristic, complemented
25#74911C211yesmaximal, characteristic, complemented
26#74878C211yesmaximal, characteristic, complemented
27#74728C211yesmaximal, characteristic, complemented
28#74698C211yesmaximal, characteristic, complemented
29#74679C211yesmaximal, characteristic, complemented
30#73935C211yesmaximal, characteristic, complemented
31#73906C211yesmaximal, characteristic, complemented
32#39401—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C2×C3×#123C2211yescharacteristic, complemented
35C2×C3×C22⋊Q8C2211yescharacteristic, complemented
36C2×#947C2211yescharacteristic
37C2×#947C2211yescharacteristic, complemented
38C2×#946C2211yescharacteristic, complemented
39C2×#944C2211yescharacteristic, complemented
40C2×#940C2211yescharacteristic
41C2×#940C2211yescharacteristic
42C2×#938C2211yescharacteristic, complemented
43C2×#937C2211yescharacteristic
44C2×#937C2211yescharacteristic
45C2×#930C2211yescharacteristic
46C2×#930C2211yescharacteristic, complemented
47C2×C4×#67C2211yescharacteristic
48C2×C4×#67C2211yescharacteristic, complemented
49C2×C4×#67C2211yescharacteristic, complemented
50C22×(C2×D3)⋊C4C2211yescharacteristic
51C2×#924C2211yescharacteristic, complemented
52#5657—28no—
53#5644—28no—
54C2×#898C2211yescharacteristic
55C2×#898C2211yescharacteristic
56C2×#898C2211yescharacteristic, complemented
57C2×#897C2211yescharacteristic, complemented
58C2×#895C2211yescharacteristic
59C2×#895C2211yescharacteristic, complemented
60C2×#894C2211yescharacteristic
61C2×#894C2211yescharacteristic, complemented
62C2×#893C2211yescharacteristic
63C2×#893C2211yescharacteristic, complemented
64C2×#885C2211yescharacteristic
65C2×#885C2211yescharacteristic, complemented
66C2×#884C2211yescharacteristic
67C2×#884C2211yescharacteristic
68C2×#884C2211yescharacteristic
69C2×#884C2211yescharacteristic, complemented
70C2×#884C2211yescharacteristic, complemented
71C2×#884C2211yescharacteristic, complemented
72C2×#884C2211yescharacteristic, complemented
73C2×#882C2211yescharacteristic
74C2×#882C2211yescharacteristic
75C2×#882C2211yescharacteristic
76C2×#882C2211yescharacteristic
77C2×#67⋊C4C2211yescharacteristic
78C2×#67⋊C4C2211yescharacteristic, complemented
79C2×#67⋊C4C2211yescharacteristic, complemented
80C2×D3×C22⋊C4C2211yescharacteristic
81C2×#879C2211yescharacteristic, complemented
82C2×C42×D3C2211yescharacteristic, complemented
83C3×#400C2211yescharacteristic, complemented
84C3×#397C2211yescharacteristic, complemented
85C3×#394C2211yescharacteristic
86C3×#393C2211yescharacteristic, complemented
87C3×#393C2211yescharacteristic, complemented
88C3×#392C2211yescharacteristic
89C3×#390C2211yescharacteristic, complemented
90C3×#388C2211yescharacteristic, complemented
91C3×#387C2211yescharacteristic, complemented
92C3×#386C2211yescharacteristic
93C3×#386C2211yescharacteristic, complemented
94C3×#386C2211yescharacteristic, complemented
95C3×#380C2211yescharacteristic, complemented
96#5223C2211yescharacteristic
97#5223C2211yescharacteristic
98#5223C2211yescharacteristic, complemented
99#5222C2211yescharacteristic, complemented
100#5220C2211yescharacteristic
101#5220C2211yescharacteristic, complemented
102#5213C2211yescharacteristic, complemented
103#4993C2211yescharacteristic, complemented
104#4993C2211yescharacteristic, complemented
105#4991C2211yescharacteristic
106#4991C2211yescharacteristic, complemented
107#4987C2211yescharacteristic, complemented
108#4978C2211yescharacteristic, complemented
109#4976C2211yescharacteristic, complemented
110#4975C2211yescharacteristic, complemented
111#4975C2211yescharacteristic, complemented
112Dic3×C4⋊C4C2211yescharacteristic, complemented
113#4961C2211yescharacteristic, complemented
114#4961C2211yescharacteristic, complemented
115#4961C2211yescharacteristic, complemented
116#4960C2211yescharacteristic
117#4959C2211yescharacteristic
118#4959C2211yescharacteristic
119#4959C2211yescharacteristic, complemented
120#4959C2211yescharacteristic, complemented
121#4959C2211yescharacteristic, complemented
122#4957C2211yescharacteristic
123#4957C2211yescharacteristic
124#4957C2211yescharacteristic
125#4957C2211yescharacteristic
126#4957C2211yescharacteristic
127#4957C2211yescharacteristic
128#4957C2211yescharacteristic, complemented
129#4957C2211yescharacteristic, complemented
130#4957C2211yescharacteristic, complemented
131#4957C2211yescharacteristic, complemented
132#4957C2211yescharacteristic, complemented
133#4957C2211yescharacteristic, complemented
134#4956C2211yescharacteristic, complemented
135#4956C2211yescharacteristic, complemented
136#4955C2211yescharacteristic
137#4955C2211yescharacteristic
138#4955C2211yescharacteristic
139#4955C2211yescharacteristic
140#4949C2211yescharacteristic, complemented
141#4949C2211yescharacteristic, complemented
142#4948C2211yescharacteristic, complemented
143#4945C2211yescharacteristic, complemented
144#4945C2211yescharacteristic, complemented
145#4945C2211yescharacteristic, complemented
146Dic3×C22⋊C4C2211yescharacteristic, complemented
147#4940C2211yescharacteristic
148#4940C2211yescharacteristic, complemented
149#4939C2211yescharacteristic, complemented
150#4676C2211yescharacteristic, complemented
151#4675C2211yescharacteristic
152#4675C2211yescharacteristic
153#4674C2211yescharacteristic, complemented
154#4673C2211yescharacteristic, complemented
155#4673C2211yescharacteristic, complemented
156#4672C2211yescharacteristic
157#4672C2211yescharacteristic
158#4672C2211yescharacteristic, complemented
159#4672C2211yescharacteristic, complemented
160#4671C2211yescharacteristic
161#4671C2211yescharacteristic
162#4671C2211yescharacteristic, complemented
163#4670C2211yescharacteristic
164#4669C2211yescharacteristic, complemented
165#4669C2211yescharacteristic, complemented
166#4669C2211yescharacteristic, complemented
167#4668C2211yescharacteristic, complemented
168#4667C2211yescharacteristic
169#4667C2211yescharacteristic
170#4667C2211yescharacteristic, complemented
171#4666C2211yescharacteristic
172#4666C2211yescharacteristic
173#4666C2211yescharacteristic, complemented
174#4666C2211yescharacteristic, complemented
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic, complemented
179#4665C2211yescharacteristic, complemented
180#4665C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4664C2211yescharacteristic, complemented
183#4659C2211yescharacteristic, complemented
184#4655C2211yescharacteristic, complemented
185#4652C2211yescharacteristic, complemented
186#4649C2211yescharacteristic, complemented
187#4649C2211yescharacteristic, complemented
188#4649C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#538—31no—
191C2×#538—31no—
192#2856—31no—
193#2696—31no—
194#2696D311yescharacteristic, complemented
195#2685—31no—
196#2685—31no—
197#2676—31no—
198#2676—31no—
199#2668—31no—
200#2668—31no—
201#2635—31no—
202#2635—31no—
203#2542—31no—
204#2537—31no—
205#2512—31no—
206#2496—31no—
207#2491—31no—
208#2491—31no—
209#2472—31no—
210#2472—31no—
211#2467—31no—
212#2467—31no—
213#2445—31no—
214#2433—31no—
215#2428—31no—
216#2408—31no—
217#2366—31no—
218D4×C22⋊C4—31no—
219C4×#123—31no—
220C4×#121—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×Q8C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C2×D3×D4—24no—
242C2×D3×D4—42no—
243C2×D3×D4—42no—
244C22×D12C2311yescharacteristic
245C22×D12C2311yescharacteristic
246C22×D12C2311yescharacteristic
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×Dic6C2311yescharacteristic
260C3×#123—24no—
261C3×C22⋊Q8—24no—
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C4⋊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×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C42C2311yescharacteristic
281C2×#217C2311yescharacteristic
282C2×#217C2311yescharacteristic
283C2×#217C2311yescharacteristic
284C2×#217C2311yescharacteristic
285C2×#217C2311yescharacteristic
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291#947—24no—
292#947—24no—
293#946—42no—
294#944—42no—
295#940—24no—
296#940—42no—
297#938—24no—
298#937—24no—
299#937—42no—
300#930—24no—
301#930—24no—
302C4×#67—24no—
303C4×#67—42no—
304C4×#67—42no—
305C2×(C2×D3)⋊C4—24no—
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×C4⋊Dic3C2311yescharacteristic
344C2×C4⋊Dic3C2311yescharacteristic
345C2×C4⋊Dic3C2311yescharacteristic
346C2×C4⋊Dic3C2311yescharacteristic
347#924—42no—
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×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364C2×C4×Dic3C2311yescharacteristic
365C2×C4×Dic3C2311yescharacteristic
366C2×C4×Dic3C2311yescharacteristic
367C2×C4×Dic3C2311yescharacteristic
368C2×C4×Dic3C2311yescharacteristic
369C2×C4×Dic3C2311yescharacteristic
370C2×C4×Dic3C2311yescharacteristic
371C2×C4×Dic3C2311yescharacteristic
372C2×C4×Dic3C2311yescharacteristic
373#898—24no—
374#898—24no—
375#898—24no—
376#897—24no—
377#895—24no—
378#895—24no—
379#894—24no—
380#894D418yescomplemented
381#893—24no—
382#893—42no—
383#885—24no—
384#885—24no—
385#884—24no—
386#884—24no—
387#884—42no—
388#884—42no—
389#884—42no—
390#884—42no—
391#884—42no—
392#882—24no—
393#882—24no—
394#882—24no—
395#882—42no—
396#67⋊C4—24no—
397#67⋊C4—24no—
398#67⋊C4—42no—
399D3×C22⋊C4—24no—
400#879—24no—
401C42×D3—42no—
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
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C23×D4—31no—
427#538—68no—
428#538—68no—
429C2×C4⋊Q8—31no—
430C2×#127—31no—
431C2×#127—31no—
432C2×#126—31no—
433C2×#126—31no—
434C2×#126—31no—
435C2×#126—31no—
436C2×#124—31no—
437C2×#124—31no—
438C2×#124—31no—
439C2×#124—31no—
440C2×#123—31no—
441C2×#123—31no—
442C2×#123C2×D311yescharacteristic, complemented
443C2×C22⋊Q8—31no—
444C2×C22⋊Q8—31no—
445C2×C22⋊Q8—31no—
446C2×C22⋊Q8C2×D311yescharacteristic, complemented
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×#120—31no—
460C2×#120—31no—
461C2×#120—31no—
462C2×#120—31no—
463C2×#120—31no—
464C2×#120—31no—
465C2×C4×D4—31no—
466C2×C4×D4—31no—
467C2×C4×D4—31no—
468C2×C4×D4—31no—
469C2×C4×D4—31no—
470C2×C4×D4—31no—
471C2×C4×D4—31no—
472C2×C4×D4—31no—
473C22×C22⋊C4—31no—
474C22×C22⋊C4—31no—
475C22×C42—31no—
476#400—31no—
477#400C2×D311yescharacteristic, complemented
478#399—31no—
479#399—31no—
480#399—31no—
481#399—31no—
482#397—31no—
483#397—31no—
484#397—31no—
485#397C2×D311yescharacteristic, complemented
486#396—31no—
487#396—31no—
488#394—31no—
489#394—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#394C2×D311yescharacteristic
504#393—31no—
505#393—31no—
506#393C2×D311yescharacteristic, complemented
507#393C2×D311yescharacteristic, complemented
508#392—31no—
509#392—31no—
510#392—31no—
511#392—31no—
512#392—31no—
513#392—31no—
514#392—31no—
515#392C2×D311yescharacteristic
516#390—31no—
517#390—31no—
518#390—31no—
519#390—31no—
520#390—31no—
521#390—31no—
522#390—31no—
523#390—31no—
524#390—31no—
525#390—31no—
526#390—31no—
527#390—31no—
528#390—31no—
529#390C2×D311yescharacteristic, complemented
530#389—31no—
531#389—31no—
532#388—31no—
533#388—31no—
534#388—31no—
535#388—31no—
536#388—31no—
537#388—31no—
538#388—31no—
539#388—31no—
540#388—31no—
541#388C2×D311yescharacteristic, complemented
542#387—31no—
543#387—31no—
544#387—31no—
545#387C2×D311yescharacteristic, complemented
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386—31no—
557#386—31no—
558#386C2×D311yescharacteristic
559#386C2×D311yescharacteristic, complemented
560#386C2×D311yescharacteristic, complemented
561#385—31no—
562#384—31no—
563#384—31no—
564#381—31no—
565#380—31no—
566#380—31no—
567#380—31no—
568#380—31no—
569#380C2×D311yescharacteristic, complemented
570#379—31no—
571#379—31no—
572#379—31no—
573#379—31no—
574C4×C4⋊C4—31no—
575C4×C4⋊C4—31no—
576C4×C4⋊C4—31no—
577C4×C4⋊C4—31no—
578C4×C22⋊C4—31no—
579C4×C22⋊C4—31no—
580C4×C22⋊C4—31no—
581C4×C22⋊C4—31no—
582C4×C22⋊C4—31no—
583C24×C3C2411yescharacteristic
584C24×C3C2411yescharacteristic
585C24×C3C2411yescharacteristic
586C23×D3—22no—
587C23×D3—22no—
588C23×D3—22no—
589C23×D3—22no—
590C23×D3—41no—
591C23×D3—41no—
592C23×D3—41no—
593C23×D3—41no—
594C23×D3—41no—
595C23×D3—41no—
596C23×D3—41no—
597C23×D3—41no—
598C23×D3—41no—
599C23×D3—41no—
600C23×D3C2411yescharacteristic
601C23×D3C2411yescharacteristic
602C23×D3C2411yescharacteristic
603C23×D3C2411yescharacteristic
604C23×D3C2411yescharacteristic
605C2×C3×Q8—22no—
606C2×C3×Q8—41no—
607C2×C3×Q8—41no—
608C2×C3×D4—22no—
609C2×C3×D4—22no—
610C2×C3×D4—22no—
611C2×C3×D4—41no—
612C2×C3×D4—41no—
613C2×C3×D4—41no—
614C2×C3×D4—41no—
615C2×C3×D4—41no—
616C2×C3×D4—41no—
617C22×C3×C4—22no—
618C22×C3×C4—22no—
619C22×C3×C4—41no—
620C22×C3×C4—41no—
621C22×C3×C4—41no—
622C22×C3×C4—41no—
623C22×C3×C4C2411yescharacteristic
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C22×C3×C4C2411yescharacteristic
627C22×C3×C4C2411yescharacteristic
628C22×C3×C4C2411yescharacteristic
629C22×C3×C4C2411yescharacteristic
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C22×C3×C4C2411yescharacteristic
635C2×#67—22no—
636C2×#67—22no—
637C2×#67—22no—
638C2×#67—22no—
639C2×#67—22no—
640C2×#67—22no—
641C2×#67—22no—
642C2×#67—22no—
643C2×#67—22no—
644C2×#67—22no—
645C2×#67—22no—
646C2×#67—22no—
647C2×#67—22no—
648C2×#67—22no—
649C2×#67—22no—
650C2×#67—22no—
651C2×#67—22no—
652C2×#67—22no—
653C2×#67—22no—
654C2×#67—41no—
655C2×#67—41no—
656C2×#67—41no—
657C2×#67—41no—
658C2×#67—41no—
659C2×#67—41no—
660C2×#67—41no—
661C2×#67—41no—
662C2×#67—41no—
663C2×#67—41no—
664C2×#67—41no—
665C2×#67—41no—
666C2×#67—41no—
667C2×#67#4114yes—
668C22×Dic3—22no—
669C22×Dic3—41no—
670C22×Dic3—41no—
671C22×Dic3C2411yescharacteristic
672C22×Dic3C2411yescharacteristic
673C22×Dic3C2411yescharacteristic
674C22×Dic3C2411yescharacteristic
675C22×Dic3C2411yescharacteristic
676C22×Dic3C2411yescharacteristic
677C22×Dic3C2411yescharacteristic
678C22×Dic3C2411yescharacteristic
679C22×Dic3C2411yescharacteristic
680C22×Dic3C2411yescharacteristic
681C22×Dic3C2411yescharacteristic
682D3×D4—416no—
683C2×D12—22no—
684C2×D12—22no—
685C2×D12—22no—
686C2×D12—22no—
687C2×D12—22no—
688C2×D12—22no—
689C2×D12—22no—
690C2×D12—22no—
691C2×D12—41no—
692C2×D12—41no—
693C2×D12—41no—
694C2×D12—41no—
695C2×D12—41no—
696C2×D12—41no—
697C2×D12—41no—
698C2×D12—41no—
699C2×D12—41no—
700C2×D12—41no—
701C2×D12—41no—
702C2×D12—41no—
703C2×D12—41no—
704C2×D12—41no—
705C2×D12—41no—
706C2×D12C2×D414yes—
707C2×C4×D3—22no—
708C2×C4×D3—22no—
709C2×C4×D3—22no—
710C2×C4×D3—22no—
711C2×C4×D3—22no—
712C2×C4×D3—22no—
713C2×C4×D3—22no—
714C2×C4×D3—22no—
715C2×C4×D3—22no—
716C2×C4×D3—22no—
717C2×C4×D3—41no—
718C2×C4×D3—41no—
719C2×C4×D3—41no—
720C2×C4×D3—41no—
721C2×C4×D3—41no—
722C2×C4×D3—41no—
723C2×C4×D3—41no—
724C2×C4×D3—41no—
725C2×C4×D3—41no—
726C2×C4×D3—41no—
727C2×C4×D3C2×D414yescomplemented
728C2×Dic6—22no—
729C2×Dic6—41no—
730C2×Dic6—41no—
731C3×C4⋊C4—22no—
732C3×C4⋊C4—22no—
733C3×C4⋊C4—22no—
734C3×C4⋊C4—41no—
735C3×C4⋊C4C2×D414yescomplemented
736C3×C22⋊C4—22no—
737C3×C22⋊C4—22no—
738C3×C22⋊C4—22no—
739C3×C22⋊C4—22no—
740C3×C22⋊C4—22no—
741C3×C22⋊C4—22no—
742C3×C22⋊C4—41no—
743C3×C22⋊C4—41no—
744C3×C22⋊C4—41no—
745C3×C22⋊C4—41no—
746C3×C22⋊C4—41no—
747C3×C22⋊C4—41no—
748C3×C22⋊C4—41no—
749C3×C42—41no—
750#217—22no—
751#217—22no—
752#217—22no—
753#217—22no—
754#217—41no—
755#217—41no—
756#217—41no—
757#217—41no—
758#217—41no—
759#217—41no—
760(C2×D3)⋊C4—22no—
761(C2×D3)⋊C4—22no—
762(C2×D3)⋊C4—22no—
763(C2×D3)⋊C4—22no—
764(C2×D3)⋊C4—22no—
765(C2×D3)⋊C4—22no—
766(C2×D3)⋊C4—22no—
767(C2×D3)⋊C4—22no—
768(C2×D3)⋊C4—22no—
769(C2×D3)⋊C4—22no—
770(C2×D3)⋊C4—22no—
771(C2×D3)⋊C4—22no—
772(C2×D3)⋊C4—22no—
773(C2×D3)⋊C4—22no—
774(C2×D3)⋊C4—22no—
775(C2×D3)⋊C4—22no—
776(C2×D3)⋊C4—22no—
777(C2×D3)⋊C4—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—
784(C2×D3)⋊C4—41no—
785(C2×D3)⋊C4—41no—
786(C2×D3)⋊C4—41no—
787(C2×D3)⋊C4—41no—
788(C2×D3)⋊C4—41no—
789(C2×D3)⋊C4—41no—
790(C2×D3)⋊C4—41no—
791(C2×D3)⋊C4—41no—
792(C2×D3)⋊C4—41no—
793(C2×D3)⋊C4—41no—
794(C2×D3)⋊C4C2×D414yes—
795(C2×D3)⋊C4C2×D414yes—
796(C2×D3)⋊C4C2×D414yescomplemented
797C4⋊Dic3—22no—
798C4⋊Dic3—22no—
799C4⋊Dic3—22no—
800C4⋊Dic3—22no—
801Dic3⋊C4—22no—
802Dic3⋊C4—22no—
803Dic3⋊C4—22no—
804Dic3⋊C4—22no—
805Dic3⋊C4—22no—
806Dic3⋊C4—22no—
807Dic3⋊C4—22no—
808Dic3⋊C4—22no—
809Dic3⋊C4—22no—
810Dic3⋊C4—41no—
811Dic3⋊C4—41no—
812Dic3⋊C4—41no—
813Dic3⋊C4—41no—
814Dic3⋊C4—41no—
815Dic3⋊C4C2×D414yescomplemented
816C4×Dic3—22no—
817C4×Dic3—22no—
818C4×Dic3—22no—
819C4×Dic3—22no—
820C4×Dic3—22no—
821C4×Dic3—22no—
822C4×Dic3—22no—
823C4×Dic3—22no—
824C4×Dic3—22no—
825C4×Dic3—41no—
826C25—31no—
827C25—31no—
828C22×Q8—31no—
829C22×Q8C22×D311yescharacteristic
830C22×D4—31no—
831C22×D4—31no—
832C22×D4—31no—
833C22×D4—31no—
834C22×D4—31no—
835C22×D4—31no—
836C22×D4—31no—
837C22×D4—31no—
838C22×D4—31no—
839C22×D4—31no—
840C22×D4—31no—
841C22×D4—31no—
842C22×D4—31no—
843C22×D4—31no—
844C22×D4—31no—
845C22×D4—31no—
846C22×D4—31no—
847C22×D4—31no—
848C22×D4—31no—
849C22×D4—64no—
850C22×D4—122no—
851C22×D4—122no—
852C22×D4C22×D311yescharacteristic
853C22×D4C22×D311yescharacteristic
854C22×D4C22×D311yescharacteristic
855C23×C4—31no—
856C23×C4—31no—
857C23×C4—31no—
858C23×C4—31no—
859C23×C4—31no—
860C23×C4—31no—
861C23×C4—31no—
862C23×C4—31no—
863C23×C4C22×D311yescharacteristic
864C23×C4C22×D311yescharacteristic
865C4⋊Q8—122no—
866#127—64no—
867#127—122no—
868#126—64no—
869#126—64no—
870#126—64no—
871#126—64no—
872#124—64no—
873#124—64no—
874#124—64no—
875#124—64no—
876#123—24no—
877#123—38no—
878#123—64no—
879C22⋊Q8—24no—
880C22⋊Q8—64no—
881C22⋊Q8—122no—
882C22⋊Q8—122no—
883#121—64no—
884#121—64no—
885#121—64no—
886#121—64no—
887#121—64no—
888#121—64no—
889#121—64no—
890#121—122no—
891#121—122no—
892#121—122no—
893#121—122no—
894#121—122no—
895#120—64no—
896#120—64no—
897#120—64no—
898#120—64no—
899#120—122no—
900#120—122no—
901C4×D4—64no—
902C4×D4—64no—
903C4×D4—64no—
904C4×D4—64no—
905C4×D4—122no—
906C4×D4—122no—
907C4×D4—122no—
908C4×D4—122no—
909C2×C4⋊C4—31no—
910C2×C4⋊C4—31no—
911C2×C4⋊C4—31no—
912C2×C4⋊C4—31no—
913C2×C4⋊C4—31no—
914C2×C4⋊C4—31no—
915C2×C4⋊C4—31no—
916C2×C4⋊C4—31no—
917C2×C4⋊C4—31no—
918C2×C4⋊C4—31no—
919C2×C4⋊C4—31no—
920C2×C4⋊C4—31no—
921C2×C4⋊C4—31no—
922C2×C4⋊C4—31no—
923C2×C4⋊C4—31no—
924C2×C4⋊C4—31no—
925C2×C4⋊C4—31no—
926C2×C4⋊C4—31no—
927C2×C4⋊C4—31no—
928C2×C4⋊C4C22×D311yescharacteristic
929C2×C4⋊C4C22×D311yescharacteristic
930C2×C4⋊C4C22×D311yescharacteristic
931C2×C4⋊C4C22×D311yescharacteristic
932C2×C4⋊C4C22×D311yescharacteristic
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—31no—
961C2×C22⋊C4—31no—
962C2×C22⋊C4—31no—
963C2×C22⋊C4—31no—
964C2×C22⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—31no—
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—31no—
973C2×C22⋊C4—31no—
974C2×C22⋊C4—31no—
975C2×C22⋊C4—31no—
976C2×C22⋊C4—31no—
977C2×C22⋊C4—31no—
978C2×C22⋊C4—31no—
979C2×C22⋊C4—31no—
980C2×C22⋊C4—64no—
981C2×C22⋊C4—64no—
982C2×C22⋊C4C22×D311yescharacteristic
983C2×C22⋊C4C22×D311yescharacteristic
984C2×C22⋊C4C22×D311yescharacteristic
985C2×C22⋊C4C22×D311yescharacteristic
986C2×C22⋊C4C22×D311yescharacteristic
987C2×C22⋊C4C22×D311yescharacteristic
988C2×C22⋊C4C22×D311yescharacteristic
989C2×C22⋊C4C22×D311yescharacteristic
990C2×C22⋊C4C22×D311yescharacteristic
991C2×C22⋊C4C22×D311yescharacteristic
992C2×C22⋊C4C22×D311yescharacteristic
993C2×C22⋊C4C22×D311yescharacteristic
994C2×C22⋊C4C22×D311yescharacteristic
995C2×C42—31no—
996C2×C42—31no—
997C2×C42—31no—
998C2×C42—31no—
999C2×C42—31no—
1000C2×C42—31no—
1001C2×C42—31no—
1002C2×C42—31no—
1003C2×C42—31no—
1004C2×C42—31no—
1005C2×C42—122no—
1006C2×C42C22×D311yescharacteristic
1007#95—31no—
1008#95—31no—
1009#95—31no—
1010#95—31no—
1011#95—31no—
1012#95—31no—
1013#95—31no—
1014#95—31no—
1015#95—31no—
1016#95—31no—
1017#95—31no—
1018#95—31no—
1019#95—31no—
1020#95—31no—
1021#95C22×D311yescharacteristic
1022#95C22×D311yescharacteristic
1023#95C22×D311yescharacteristic
1024#95C22×D311yescharacteristic
1025#95C22×D311yescharacteristic
1026#95C22×D311yescharacteristic
1027#95C22×D311yescharacteristic
1028#95C22×D311yescharacteristic
1029#95C22×D311yescharacteristic
1030#95C22×D311yescharacteristic
1031C23×C3—21no—
1032C23×C3—21no—
1033C23×C3—21no—
1034C23×C3—21no—
1035C23×C3—21no—
1036C23×C3—21no—
1037C23×C3—21no—
1038C23×C3—21no—
1039C23×C3—21no—
1040C23×C3—21no—
1041C23×C3—21no—
1042C23×C3—21no—
1043C23×C3—21no—
1044C23×C3—21no—
1045C23×C3—21no—
1046C23×C3—21no—
1047C23×C3—21no—
1048C23×C3—21no—
1049C23×C3—21no—
1050C23×C3—21no—
1051C23×C3C2×#4112yes—
1052C23×C3C2511yescharacteristic
1053C22×D3—21no—
1054C22×D3—21no—
1055C22×D3—21no—
1056C22×D3—21no—
1057C22×D3—21no—
1058C22×D3—21no—
1059C22×D3—21no—
1060C22×D3—21no—
1061C22×D3—21no—
1062C22×D3—21no—
1063C22×D3—21no—
1064C22×D3—21no—
1065C22×D3—21no—
1066C22×D3—21no—
1067C22×D3—21no—
1068C22×D3—21no—
1069C22×D3—21no—
1070C22×D3—21no—
1071C22×D3—21no—
1072C22×D3—21no—
1073C22×D3—21no—
1074C22×D3—21no—
1075C22×D3—21no—
1076C22×D3—21no—
1077C22×D3—21no—
1078C22×D3—21no—
1079C22×D3—21no—
1080C22×D3—21no—
1081C22×D3—21no—
1082C22×D3—21no—
1083C22×D3—21no—
1084C22×D3—21no—
1085C22×D3—44no—
1086C22×D3—44no—
1087C22×D3—44no—
1088C22×D3—44no—
1089C22×D3—82no—
1090C22×D3—82no—
1091C22×D3—82no—
1092C22×D3—82no—
1093C22×D3—82no—
1094C22×D3—82no—
1095C22×D3—82no—
1096C22×D3—82no—
1097C22×D3—82no—
1098C22×D3—82no—
1099C22×D3C22×D412yes—
1100C22×D3C22×D412yes—
1101C22×D3C2×#4112yes—
1102C3×Q8—82no—
1103C3×D4—44no—
1104C3×D4—82no—
1105C3×D4—82no—
1106C2×C3×C4—21no—
1107C2×C3×C4—21no—
1108C2×C3×C4—21no—
1109C2×C3×C4—21no—
1110C2×C3×C4—21no—
1111C2×C3×C4—21no—
1112C2×C3×C4—21no—
1113C2×C3×C4—21no—
1114C2×C3×C4—21no—
1115C2×C3×C4—21no—
1116C2×C3×C4—21no—
1117C2×C3×C4—21no—
1118C2×C3×C4—21no—
1119C2×C3×C4—21no—
1120C2×C3×C4—21no—
1121C2×C3×C4—21no—
1122C2×C3×C4—21no—
1123C2×C3×C4—21no—
1124C2×C3×C4—21no—
1125C2×C3×C4—21no—
1126C2×C3×C4—21no—
1127C2×C3×C4—21no—
1128C2×C3×C4—21no—
1129C2×C3×C4—21no—
1130C2×C3×C4—21no—
1131C2×C3×C4—21no—
1132C2×C3×C4—21no—
1133C2×C3×C4—21no—
1134C2×C3×C4—21no—
1135C2×C3×C4—21no—
1136C2×C3×C4—21no—
1137C2×C3×C4—21no—
1138C2×C3×C4—21no—
1139C2×C3×C4—82no—
1140C2×C3×C4—82no—
1141C2×C3×C4C22×D412yes—
1142C2×C3×C4C22×D412yes—
1143C2×C3×C4C22×D412yes—
1144#67—28no—
1145#67—44no—
1146#67—44no—
1147#67—44no—
1148#67—44no—
1149#67—44no—
1150#67—82no—
1151#67—82no—
1152#67—82no—
1153#67—82no—
1154#67—82no—
1155C2×Dic3—21no—
1156C2×Dic3—21no—
1157C2×Dic3—21no—
1158C2×Dic3—21no—
1159C2×Dic3—21no—
1160C2×Dic3—21no—
1161C2×Dic3—21no—
1162C2×Dic3—21no—
1163C2×Dic3—21no—
1164C2×Dic3—21no—
1165C2×Dic3—21no—
1166C2×Dic3—21no—
1167C2×Dic3—21no—
1168C2×Dic3—21no—
1169C2×Dic3—21no—
1170C2×Dic3—21no—
1171C2×Dic3—21no—
1172C2×Dic3—21no—
1173C2×Dic3—21no—
1174C2×Dic3—21no—
1175C2×Dic3—21no—
1176C2×Dic3—21no—
1177C2×Dic3—21no—
1178C2×Dic3—21no—
1179C2×Dic3—21no—
1180C2×Dic3—21no—
1181C2×Dic3—21no—
1182C2×Dic3—82no—
1183C2×Dic3C22×D412yes—
1184C2×Dic3C22×D412yes—
1185C2×Dic3C2×#4112yes—
1186C2×Dic3H(5,𝔽2)12yes—
1187C2×Dic3H(5,𝔽2)12yes—
1188C2×Dic3H(5,𝔽2)12yes—
1189D12—44no—
1190D12—44no—
1191D12—44no—
1192D12—82no—
1193D12—82no—
1194D12—82no—
1195D12—82no—
1196D12—82no—
1197C4×D3—44no—
1198C4×D3—44no—
1199C4×D3—44no—
1200C4×D3—44no—
1201C4×D3—82no—
1202C4×D3—82no—
1203C4×D3—82no—
1204Dic6—82no—
1205C24—31no—
1206C24—31no—
1207C24—31no—
1208C24—31no—
1209C24—31no—
1210C24—62no—
1211C24—62no—
1212C24—62no—
1213C24—62no—
1214C24—121no—
1215C24—121no—
1216C24—121no—
1217C24—121no—
1218C24—121no—
1219C24—121no—
1220C24—121no—
1221C24—121no—
1222C24—121no—
1223C24—121no—
1224C24C23×D311yescharacteristic
1225C24C23×D311yescharacteristic
1226C24C23×D311yescharacteristic
1227C2×Q8—22no—
1228C2×Q8—41no—
1229C2×Q8—41no—
1230C2×Q8—62no—
1231C2×Q8—121no—
1232C2×Q8—121no—
1233C2×D4—22no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—34no—
1237C2×D4—34no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—62no—
1245C2×D4—62no—
1246C2×D4—62no—
1247C2×D4—62no—
1248C2×D4—62no—
1249C2×D4—62no—
1250C2×D4—62no—
1251C2×D4—62no—
1252C2×D4—62no—
1253C2×D4—62no—
1254C2×D4—62no—
1255C2×D4—62no—
1256C2×D4—62no—
1257C2×D4—62no—
1258C2×D4—62no—
1259C2×D4—62no—
1260C2×D4—62no—
1261C2×D4—62no—
1262C2×D4—62no—
1263C2×D4—62no—
1264C2×D4—62no—
1265C2×D4—62no—
1266C2×D4—62no—
1267C2×D4—62no—
1268C2×D4—62no—
1269C2×D4—62no—
1270C2×D4—62no—
1271C2×D4—121no—
1272C2×D4—121no—
1273C2×D4—121no—
1274C2×D4—121no—
1275C2×D4—121no—
1276C2×D4—121no—
1277C2×D4—121no—
1278C2×D4—121no—
1279C2×D4—121no—
1280C2×D4—121no—
1281C2×D4—121no—
1282C2×D4—121no—
1283C2×D4—121no—
1284C2×D4—121no—
1285C2×D4—121no—
1286C2×D4—121no—
1287C2×D4—121no—
1288C2×D4—121no—
1289C2×D4—121no—
1290C2×D4—121no—
1291C2×D4—121no—
1292C2×D4—121no—
1293C2×D4—121no—
1294C2×D4—121no—
1295C2×D4—121no—
1296C2×D4—121no—
1297C2×D4—121no—
1298C2×D4—121no—
1299C2×D4—1216no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—31no—
1303C22×C4—31no—
1304C22×C4—31no—
1305C22×C4—31no—
1306C22×C4—34no—
1307C22×C4—31no—
1308C22×C4—31no—
1309C22×C4—31no—
1310C22×C4—31no—
1311C22×C4—31no—
1312C22×C4—31no—
1313C22×C4—31no—
1314C22×C4—41no—
1315C22×C4—41no—
1316C22×C4—41no—
1317C22×C4—41no—
1318C22×C4—62no—
1319C22×C4—62no—
1320C22×C4—62no—
1321C22×C4—62no—
1322C22×C4—62no—
1323C22×C4—62no—
1324C22×C4—62no—
1325C22×C4—62no—
1326C22×C4—62no—
1327C22×C4—62no—
1328C22×C4—62no—
1329C22×C4—121no—
1330C22×C4—121no—
1331C22×C4—121no—
1332C22×C4—121no—
1333C22×C4—121no—
1334C22×C4—121no—
1335C22×C4—121no—
1336C22×C4—121no—
1337C22×C4—121no—
1338C22×C4—121no—
1339C22×C4—121no—
1340C22×C4—121no—
1341C22×C4C23×D311yescharacteristic
1342C22×C4C23×D311yescharacteristic
1343C22×C4C23×D311yescharacteristic
1344C22×C4C23×D311yescharacteristic
1345C22×C4C23×D311yescharacteristic
1346C22×C4C23×D311yescharacteristic
1347C22×C4C23×D311yescharacteristic
1348C22×C4C23×D311yescharacteristic
1349C22×C4C23×D311yescharacteristic
1350C22×C4C23×D311yescharacteristic
1351C22×C4C23×D311yescharacteristic
1352C22×C4C23×D311yescharacteristic
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—34no—
1357C4⋊C4—41no—
1358C4⋊C4—62no—
1359C4⋊C4—62no—
1360C4⋊C4—62no—
1361C4⋊C4—62no—
1362C4⋊C4—62no—
1363C4⋊C4—62no—
1364C4⋊C4—62no—
1365C4⋊C4—62no—
1366C4⋊C4—62no—
1367C4⋊C4—62no—
1368C4⋊C4—62no—
1369C4⋊C4—62no—
1370C4⋊C4—62no—
1371C4⋊C4—121no—
1372C4⋊C4—121no—
1373C4⋊C4—121no—
1374C4⋊C4—121no—
1375C4⋊C4—121no—
1376C4⋊C4D3×D414yescomplemented
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—34no—
1384C22⋊C4—34no—
1385C22⋊C4—34no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—41no—
1392C22⋊C4—41no—
1393C22⋊C4—62no—
1394C22⋊C4—62no—
1395C22⋊C4—62no—
1396C22⋊C4—62no—
1397C22⋊C4—62no—
1398C22⋊C4—62no—
1399C22⋊C4—62no—
1400C22⋊C4—62no—
1401C22⋊C4—62no—
1402C22⋊C4—62no—
1403C22⋊C4—62no—
1404C22⋊C4—62no—
1405C22⋊C4—62no—
1406C22⋊C4—62no—
1407C22⋊C4—62no—
1408C22⋊C4—62no—
1409C22⋊C4—62no—
1410C22⋊C4—62no—
1411C22⋊C4—62no—
1412C22⋊C4—62no—
1413C22⋊C4—62no—
1414C22⋊C4—121no—
1415C22⋊C4—121no—
1416C22⋊C4—121no—
1417C22⋊C4—121no—
1418C22⋊C4—121no—
1419C22⋊C4—121no—
1420C22⋊C4—121no—
1421C22⋊C4—121no—
1422C22⋊C4—121no—
1423C22⋊C4—121no—
1424C22⋊C4—121no—
1425C22⋊C4—121no—
1426C22⋊C4—121no—
1427C22⋊C4—121no—
1428C22⋊C4—121no—
1429C22⋊C4—121no—
1430C22⋊C4—121no—
1431C22⋊C4—121no—
1432C22⋊C4—121no—
1433C22⋊C4—121no—
1434C22⋊C4—121no—
1435C22⋊C4—121no—
1436C22⋊C4—121no—
1437C42—41no—
1438C42—62no—
1439C42—62no—
1440C42—62no—
1441C42—62no—
1442C42—62no—
1443C42—62no—
1444C42—62no—
1445C42—62no—
1446C42—62no—
1447C42—121no—
1448C22×C3—22no—
1449C22×C3—22no—
1450C22×C3—22no—
1451C22×C3—41no—
1452C22×C3—41no—
1453C22×C3—41no—
1454C22×C3—41no—
1455C22×C3—41no—
1456C22×C3—41no—
1457C22×C3—41no—
1458C22×C3—41no—
1459C22×C3—41no—
1460C22×C3—41no—
1461C22×C3—41no—
1462C22×C3—41no—
1463C22×C3—41no—
1464C22×C3—41no—
1465C22×C3—41no—
1466C22×C3—41no—
1467C22×C3—41no—
1468C22×C3—41no—
1469C22×C3C23×D411yescharacteristic
1470C22×C3C22×#4111yescharacteristic
1471C22×C3C2×H(5,𝔽2)11yescharacteristic
1472C22×C3C2×H(5,𝔽2)11yescharacteristic
1473C22×C3C2×H(5,𝔽2)11yescharacteristic
1474C22×C3#58511yescharacteristic
1475C22×C3#58511yescharacteristic
1476C2×D3—22no—
1477C2×D3—22no—
1478C2×D3—22no—
1479C2×D3—22no—
1480C2×D3—22no—
1481C2×D3—22no—
1482C2×D3—22no—
1483C2×D3—22no—
1484C2×D3—22no—
1485C2×D3—41no—
1486C2×D3—41no—
1487C2×D3—41no—
1488C2×D3—41no—
1489C2×D3—41no—
1490C2×D3—41no—
1491C2×D3—41no—
1492C2×D3—41no—
1493C2×D3—41no—
1494C2×D3—41no—
1495C2×D3—41no—
1496C2×D3—41no—
1497C2×D3—41no—
1498C2×D3—41no—
1499C2×D3—41no—
1500C2×D3—41no—
1501C2×D3—41no—
1502C2×D3—41no—
1503C2×D3—41no—
1504C2×D3—41no—
1505C2×D3—41no—
1506C2×D3—41no—
1507C2×D3—41no—
1508C2×D3—41no—
1509C2×D3—41no—
1510C2×D3—41no—
1511C2×D3—88no—
1512C2×D3—88no—
1513C3×C4—22no—
1514C3×C4—22no—
1515C3×C4—22no—
1516C3×C4—41no—
1517C3×C4—41no—
1518C3×C4—41no—
1519C3×C4—41no—
1520C3×C4—41no—
1521C3×C4—41no—
1522C3×C4—41no—
1523C3×C4—41no—
1524C3×C4—41no—
1525Dic3—22no—
1526Dic3—22no—
1527Dic3—22no—
1528Dic3—41no—
1529Dic3—41no—
1530Dic3—41no—
1531Dic3—41no—
1532Dic3—41no—
1533Dic3—41no—
1534Dic3—41no—
1535Dic3#53814yescomplemented
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—32no—
1557C23—32no—
1558C23—32no—
1559C23—61no—
1560C23—61no—
1561C23—61no—
1562C23—61no—
1563C23—61no—
1564C23—61no—
1565C23—61no—
1566C23—61no—
1567C23—61no—
1568C23—61no—
1569C23—61no—
1570C23—61no—
1571C23—61no—
1572C23—61no—
1573C23—61no—
1574C23—61no—
1575C23—61no—
1576C23—61no—
1577C23—61no—
1578C23—61no—
1579C23—61no—
1580C23—61no—
1581C23—61no—
1582C23—61no—
1583C23—61no—
1584C23—61no—
1585C23—61no—
1586C23—61no—
1587C23—61no—
1588C23—61no—
1589C23—61no—
1590C23—61no—
1591C23—124no—
1592C23—124no—
1593C23—124no—
1594C23—124no—
1595C23—242no—
1596C23—242no—
1597C23—242no—
1598C23—242no—
1599C23—242no—
1600C23—242no—
1601C23—242no—
1602C23—242no—
1603C23—242no—
1604C23—242no—
1605C23D3×#4112yes—
1606C23C24×D311yescharacteristic
1607Q8—82no—
1608Q8—242no—
1609D4—44no—
1610D4—68no—
1611D4—82no—
1612D4—82no—
1613D4—124no—
1614D4—124no—
1615D4—124no—
1616D4—124no—
1617D4—124no—
1618D4—124no—
1619D4—124no—
1620D4—124no—
1621D4—242no—
1622D4—242no—
1623D4—242no—
1624D4—242no—
1625D4—242no—
1626D4—242no—
1627D4—242no—
1628D4—242no—
1629D4—242no—
1630D4—242no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—32no—
1665C2×C4—32no—
1666C2×C4—32no—
1667C2×C4—32no—
1668C2×C4—32no—
1669C2×C4—32no—
1670C2×C4—61no—
1671C2×C4—61no—
1672C2×C4—61no—
1673C2×C4—61no—
1674C2×C4—61no—
1675C2×C4—61no—
1676C2×C4—61no—
1677C2×C4—61no—
1678C2×C4—61no—
1679C2×C4—61no—
1680C2×C4—61no—
1681C2×C4—61no—
1682C2×C4—61no—
1683C2×C4—61no—
1684C2×C4—61no—
1685C2×C4—61no—
1686C2×C4—61no—
1687C2×C4—61no—
1688C2×C4—61no—
1689C2×C4—61no—
1690C2×C4—61no—
1691C2×C4—61no—
1692C2×C4—61no—
1693C2×C4—61no—
1694C2×C4—61no—
1695C2×C4—61no—
1696C2×C4—61no—
1697C2×C4—82no—
1698C2×C4—82no—
1699C2×C4—124no—
1700C2×C4—124no—
1701C2×C4—124no—
1702C2×C4—124no—
1703C2×C4—242no—
1704C2×C4—242no—
1705C2×C4—242no—
1706C2×C4—242no—
1707C2×C4C2×D3×D412yes—
1708C2×C4C2×D3×D412yes—
1709C2×C4C2×D3×D412yes—
1710C2×C3—42no—
1711C2×C3—81no—
1712C2×C3—81no—
1713C2×C3C2×#53811yescharacteristic
1714C2×C3D4×#4111yescharacteristic
1715C2×C3#349611yescharacteristic
1716C2×C3#349811yescharacteristic
1717C2×C3#351411yescharacteristic
1718C2×C3#354211yescharacteristic
1719C2×C3#356211yescharacteristic
1720D3—42no—
1721D3—42no—
1722D3—42no—
1723D3—81no—
1724D3—81no—
1725C22—22no—
1726C22—22no—
1727C22—22no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—62no—
1747C22—62no—
1748C22—62no—
1749C22—62no—
1750C22—62no—
1751C22—62no—
1752C22—62no—
1753C22—62no—
1754C22—62no—
1755C22—121no—
1756C22—121no—
1757C22—121no—
1758C22—121no—
1759C22—121no—
1760C22—121no—
1761C22—121no—
1762C22—121no—
1763C22—121no—
1764C22—121no—
1765C22—121no—
1766C22—121no—
1767C22—121no—
1768C22—121no—
1769C22—121no—
1770C22—121no—
1771C22—121no—
1772C22—121no—
1773C22—121no—
1774C22—121no—
1775C22—121no—
1776C22—121no—
1777C22—121no—
1778C22—121no—
1779C22—121no—
1780C22—121no—
1781C22—248no—
1782C22—248no—
1783C22C22×D3×D411yescharacteristic
1784C22C2×D3×#4111yescharacteristic
1785C22#596411yescharacteristic
1786C22D3×H(5,𝔽2)11yescharacteristic
1787C22D3×H(5,𝔽2)11yescharacteristic
1788C22D3×H(5,𝔽2)11yescharacteristic
1789C22#596811yescharacteristic
1790C4—22no—
1791C4—22no—
1792C4—22no—
1793C4—34no—
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4—41no—
1798C4—41no—
1799C4—41no—
1800C4—41no—
1801C4—41no—
1802C4—41no—
1803C4—62no—
1804C4—62no—
1805C4—62no—
1806C4—121no—
1807C4—121no—
1808C4—121no—
1809C4—121no—
1810C4—121no—
1811C4—121no—
1812C4—121no—
1813C3#3940111yescharacteristic, complemented, Sylow
1814C2—42no—
1815C2—81no—
1816C2—81no—
1817C2—122no—
1818C2—122no—
1819C2—122no—
1820C2—241no—
1821C2—241no—
1822C2#8631611yescharacteristic
1823C2D3×#53811yescharacteristic
1824C2#8644411yescharacteristic
1825C2#8666511yescharacteristic
1826C2#8671011yescharacteristic
1827C2#8679711yescharacteristic
1828C2#8709711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2696C2
hypercenter#2696D3
hypocenterC3#39401
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2696

Complements

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

NH ≅ G/Ntype
1. C2×#5657C2semidirect
2. C2×#5644C2semidirect
3. C3×#2696C2semidirect
4. #82849C2semidirect
5. #82780C2semidirect
6. #78212C2semidirect
7. #78150C2semidirect
8. #77689C2semidirect
9. #77493C2semidirect
10. #76921C2semidirect
11. #76895C2semidirect
12. #76822C2semidirect
13. #76792C2semidirect
14. #76792C2semidirect
15. #76790C2semidirect
16. #76703C2semidirect
17. #76673C2semidirect
18. #76476C2semidirect
19. #76468C2semidirect
20. #75919C2semidirect
21. #75452C2semidirect
22. #75152C2semidirect
23. #74940C2semidirect
24. #74916C2semidirect
25. #74911C2semidirect
26. #74878C2semidirect
27. #74728C2semidirect
28. #74698C2semidirect
29. #74679C2semidirect
30. #73935C2semidirect
31. #73906C2semidirect
34. C2×C3×#123C22semidirect
35. C2×C3×C22⋊Q8C22semidirect
37. C2×#947C22semidirect
38. C2×#946C22semidirect
39. C2×#944C22semidirect
42. C2×#938C22semidirect
46. C2×#930C22semidirect
48. C2×C4×#67C22semidirect
49. C2×C4×#67C22semidirect
51. C2×#924C22semidirect
56. C2×#898C22semidirect
57. C2×#897C22semidirect
59. C2×#895C22semidirect
61. C2×#894C22semidirect
63. C2×#893C22semidirect
65. C2×#885C22semidirect
69. C2×#884C22semidirect
70. C2×#884C22semidirect
71. C2×#884C22semidirect
72. C2×#884C22semidirect
78. C2×#67⋊C4C22semidirect
79. C2×#67⋊C4C22semidirect
81. C2×#879C22semidirect
82. C2×C42×D3C22semidirect
83. C3×#400C22semidirect
84. C3×#397C22semidirect
86. C3×#393C22semidirect
87. C3×#393C22semidirect
89. C3×#390C22semidirect
90. C3×#388C22semidirect
91. C3×#387C22semidirect
93. C3×#386C22semidirect
94. C3×#386C22semidirect
95. C3×#380C22semidirect
98. #5223C22semidirect
99. #5222C22semidirect
101. #5220C22semidirect
102. #5213C22semidirect
103. #4993C22semidirect
104. #4993C22semidirect
106. #4991C22semidirect
107. #4987C22semidirect
108. #4978C22semidirect
109. #4976C22semidirect
110. #4975C22semidirect
111. #4975C22semidirect
112. Dic3×C4⋊C4C22semidirect
113. #4961C22semidirect
114. #4961C22semidirect
115. #4961C22semidirect
119. #4959C22semidirect
120. #4959C22semidirect
121. #4959C22semidirect
128. #4957C22semidirect
129. #4957C22semidirect
130. #4957C22semidirect
131. #4957C22semidirect
132. #4957C22semidirect
133. #4957C22semidirect
134. #4956C22semidirect
135. #4956C22semidirect
140. #4949C22semidirect
141. #4949C22semidirect
142. #4948C22semidirect
143. #4945C22semidirect
144. #4945C22semidirect
145. #4945C22semidirect
146. Dic3×C22⋊C4C22semidirect
148. #4940C22semidirect
149. #4939C22semidirect
150. #4676C22semidirect
153. #4674C22semidirect
154. #4673C22semidirect
155. #4673C22semidirect
158. #4672C22semidirect
159. #4672C22semidirect
162. #4671C22semidirect
164. #4669C22semidirect
165. #4669C22semidirect
166. #4669C22semidirect
167. #4668C22semidirect
170. #4667C22semidirect
173. #4666C22semidirect
174. #4666C22semidirect
178. #4665C22semidirect
179. #4665C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. #4664C22semidirect
183. #4659C22semidirect
184. #4655C22semidirect
185. #4652C22semidirect
186. #4649C22semidirect
187. #4649C22semidirect
188. #4649C22semidirect
189. #4647C22semidirect
194. #2696D3semidirect
380. #894D4semidirect
442. C2×#123C2×D3semidirect
446. C2×C22⋊Q8C2×D3semidirect
477. #400C2×D3semidirect
485. #397C2×D3semidirect
506. #393C2×D3semidirect
507. #393C2×D3semidirect
529. #390C2×D3semidirect
541. #388C2×D3semidirect
545. #387C2×D3semidirect
559. #386C2×D3semidirect
560. #386C2×D3semidirect
569. #380C2×D3semidirect
727. C2×C4×D3C2×D4semidirect
735. C3×C4⋊C4C2×D4semidirect
796. (C2×D3)⋊C4C2×D4semidirect
815. Dic3⋊C4C2×D4semidirect
1376. C4⋊C4D3×D4semidirect
1535. Dic3#538semidirect
1813. C3#39401semidirect

Maximal subgroups

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

subgroupindex
C2×#56572
C2×#56442
C3×#26962
#828492
#827802
#782122
#781502
#776892
#774932
#769212
#768952
#768222
#767922
#767902
#767032
#766732
#764762
#764682
#759192
#754522
#751522
#749402
#749162
#749112
#748782
#747282
#746982
#746792
#739352
#739062
#394013