Finite Group Databasebeta

← #11025361

Subgroups — #11025361

Order 768.

2834 conjugacy classes of subgroups.

The subgroup lattice has 1850 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D3×#124C211yesmaximal, characteristic, complemented
2C2×#5613C211yesmaximal, characteristic, complemented
3C3×#2686C211yesmaximal, characteristic, complemented
4#83005C211yesmaximal, characteristic, complemented
5#82702C211yesmaximal, characteristic, complemented
6#77480C211yesmaximal, characteristic, complemented
7#77474C211yesmaximal, characteristic, complemented
8#77209C211yesmaximal, characteristic, complemented
9#77172C211yesmaximal, characteristic, complemented
10#77135C211yesmaximal, characteristic, complemented
11#77129C211yesmaximal, characteristic, complemented
12#77114C211yesmaximal, characteristic, complemented
13#77113C211yesmaximal, characteristic, complemented
14#77111C211yesmaximal, characteristic, complemented
15#76949C211yesmaximal, characteristic, complemented
16#76811C211yesmaximal, characteristic, complemented
17#76781C211yesmaximal, characteristic, complemented
18#75712C211yesmaximal, characteristic, complemented
19#75452C211yesmaximal, characteristic, complemented
20#75446C211yesmaximal, characteristic, complemented
21#75399C211yesmaximal, characteristic, complemented
22#74887C211yesmaximal, characteristic, complemented
23#74884C211yesmaximal, characteristic, complemented
24#74758C211yesmaximal, characteristic, complemented
25#74671C211yesmaximal, characteristic, complemented
26#74596C211yesmaximal, characteristic, complemented
27#74526C211yesmaximal, characteristic, complemented
28#74126C211yesmaximal, characteristic, complemented
29#74070C211yesmaximal, characteristic, complemented
30#74007C211yesmaximal, characteristic, complemented
31#73971C211yesmaximal, characteristic, complemented
32#37716—31nomaximal, Sylow
33C22×D3×Q8C2211yescharacteristic, complemented
34C22×D3×D4C2211yescharacteristic
35C23×D12C2211yescharacteristic
36C2×C3×#124C2211yescharacteristic
37C2×C3×#121C2211yescharacteristic
38C2×#947C2211yescharacteristic, complemented
39C2×#939C2211yescharacteristic, complemented
40C2×#939C2211yescharacteristic, complemented
41C2×#938C2211yescharacteristic, complemented
42C2×#937C2211yescharacteristic
43C2×#937C2211yescharacteristic
44C2×#937C2211yescharacteristic, complemented
45C2×#937C2211yescharacteristic, complemented
46C2×#936C2211yescharacteristic
47C2×#935C2211yescharacteristic, complemented
48C2×#929C2211yescharacteristic, complemented
49C2×C4×#67C2211yescharacteristic, complemented
50C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
51D3×#124—28no—
52#5613—28no—
53C2×#898C2211yescharacteristic, complemented
54C2×#896C2211yescharacteristic, complemented
55C2×#896C2211yescharacteristic, complemented
56C2×#893C2211yescharacteristic
57C2×#893C2211yescharacteristic
58C2×#885C2211yescharacteristic
59C2×#885C2211yescharacteristic
60C2×#885C2211yescharacteristic, complemented
61C2×#885C2211yescharacteristic, complemented
62C2×#885C2211yescharacteristic, complemented
63C2×#885C2211yescharacteristic, complemented
64C2×#884C2211yescharacteristic
65C2×#884C2211yescharacteristic
66C2×#882C2211yescharacteristic
67C2×#882C2211yescharacteristic
68C2×#882C2211yescharacteristic
69C2×#67⋊C4C2211yescharacteristic, complemented
70C2×#67⋊C4C2211yescharacteristic, complemented
71C2×D3×C22⋊C4C2211yescharacteristic
72C2×D3×C22⋊C4C2211yescharacteristic
73C2×D3×C22⋊C4C2211yescharacteristic, complemented
74C2×D3×C22⋊C4C2211yescharacteristic, complemented
75C2×D3×C22⋊C4C2211yescharacteristic, complemented
76C2×#879C2211yescharacteristic, complemented
77C2×#875C2211yescharacteristic, complemented
78C2×C42×D3C2211yescharacteristic, complemented
79C3×#397C2211yescharacteristic, complemented
80C3×#395C2211yescharacteristic, complemented
81C3×#394C2211yescharacteristic, complemented
82C3×#394C2211yescharacteristic, complemented
83C3×#394C2211yescharacteristic, complemented
84C3×#393C2211yescharacteristic, complemented
85C3×#388C2211yescharacteristic, complemented
86C3×#387C2211yescharacteristic, complemented
87C3×#386C2211yescharacteristic
88C3×#386C2211yescharacteristic, complemented
89C3×#385C2211yescharacteristic, complemented
90C3×#381C2211yescharacteristic, complemented
91C3×#380C2211yescharacteristic, complemented
92#5231C2211yescharacteristic, complemented
93#5231C2211yescharacteristic, complemented
94#5223C2211yescharacteristic
95#5220C2211yescharacteristic
96#5213C2211yescharacteristic
97#5213C2211yescharacteristic, complemented
98#5210C2211yescharacteristic, complemented
99C4×#217C2211yescharacteristic, complemented
100#4994C2211yescharacteristic, complemented
101#4994C2211yescharacteristic, complemented
102#4993C2211yescharacteristic, complemented
103#4991C2211yescharacteristic, complemented
104#4990C2211yescharacteristic, complemented
105#4990C2211yescharacteristic, complemented
106#4989C2211yescharacteristic, complemented
107#4989C2211yescharacteristic, complemented
108#4989C2211yescharacteristic, complemented
109#4988C2211yescharacteristic, complemented
110#4988C2211yescharacteristic, complemented
111#4988C2211yescharacteristic, complemented
112#4988C2211yescharacteristic, complemented
113#4979C2211yescharacteristic, complemented
114#4976C2211yescharacteristic, complemented
115#4960C2211yescharacteristic
116#4960C2211yescharacteristic
117#4960C2211yescharacteristic, complemented
118#4960C2211yescharacteristic, complemented
119#4960C2211yescharacteristic, complemented
120#4960C2211yescharacteristic, complemented
121#4960C2211yescharacteristic, complemented
122#4959C2211yescharacteristic
123#4959C2211yescharacteristic, complemented
124#4959C2211yescharacteristic, complemented
125#4959C2211yescharacteristic, complemented
126#4958C2211yescharacteristic, complemented
127#4958C2211yescharacteristic, complemented
128#4958C2211yescharacteristic, complemented
129#4958C2211yescharacteristic, complemented
130#4957C2211yescharacteristic, complemented
131#4957C2211yescharacteristic, complemented
132#4956C2211yescharacteristic, complemented
133#4956C2211yescharacteristic, complemented
134#4955C2211yescharacteristic
135#4955C2211yescharacteristic
136#4955C2211yescharacteristic, complemented
137#4955C2211yescharacteristic, complemented
138#4952C2211yescharacteristic, complemented
139#4952C2211yescharacteristic, complemented
140#4947C2211yescharacteristic, complemented
141#4946C2211yescharacteristic, complemented
142#4945C2211yescharacteristic, complemented
143#4945C2211yescharacteristic, complemented
144#4944C2211yescharacteristic, complemented
145#4944C2211yescharacteristic, complemented
146Dic3×C22⋊C4C2211yescharacteristic, complemented
147Dic3×C22⋊C4C2211yescharacteristic, complemented
148#4940C2211yescharacteristic, complemented
149#4940C2211yescharacteristic, complemented
150#4676C2211yescharacteristic, complemented
151#4675C2211yescharacteristic, complemented
152#4675C2211yescharacteristic, complemented
153#4675C2211yescharacteristic, complemented
154#4673C2211yescharacteristic, complemented
155#4673C2211yescharacteristic, complemented
156#4672C2211yescharacteristic, complemented
157#4672C2211yescharacteristic, complemented
158#4672C2211yescharacteristic, complemented
159#4672C2211yescharacteristic, complemented
160#4671C2211yescharacteristic
161#4671C2211yescharacteristic
162#4669C2211yescharacteristic, complemented
163#4669C2211yescharacteristic, complemented
164#4669C2211yescharacteristic, complemented
165#4669C2211yescharacteristic, complemented
166#4669C2211yescharacteristic, complemented
167#4668C2211yescharacteristic, complemented
168#4667C2211yescharacteristic, complemented
169#4667C2211yescharacteristic, complemented
170#4666C2211yescharacteristic, complemented
171#4666C2211yescharacteristic, complemented
172#4665C2211yescharacteristic
173#4665C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic, complemented
179#4665C2211yescharacteristic, complemented
180#4665C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4655C2211yescharacteristic, complemented
183#4652C2211yescharacteristic, complemented
184#4651C2211yescharacteristic, complemented
185#4649C2211yescharacteristic, complemented
186#4646C2211yescharacteristic, complemented
187#4646C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#538—31no—
191C22×#124—31no—
192#2852—31no—
193#2733—31no—
194#2730—31no—
195#2715—31no—
196#2710—31no—
197#2686D311yescharacteristic, complemented
198#2684—31no—
199#2676—31no—
200#2670—31no—
201#2662—31no—
202#2631—31no—
203#2557—31no—
204#2555—31no—
205#2480—31no—
206#2472—31no—
207#2459—31no—
208#2436—31no—
209#2424—31no—
210#2424—31no—
211#2418—31no—
212#2412—31no—
213#2410—31no—
214#2410—31no—
215#2409—31no—
216#2403—31no—
217#2358—31no—
218D4×C22⋊C4—31no—
219#2337—31no—
220C4×#121—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C22×C3×Q8C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C23×Dic3C2311yescharacteristic
240C23×Dic3C2311yescharacteristic
241C2×D3×Q8—24no—
242C2×D3×Q8—42no—
243C2×D3×Q8—42no—
244C2×D3×D4—24no—
245C2×D3×D4—42no—
246C2×D3×D4—42no—
247C22×D12—24no—
248C22×D12—42no—
249C22×D12—42no—
250C22×D12C2311yescharacteristic
251C22×D12C2311yescharacteristic
252C22×D12C2311yescharacteristic
253C22×D12C2311yescharacteristic
254C22×D12C2311yescharacteristic
255C22×D12C2311yescharacteristic
256C22×D12C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C22×C4×D3C2311yescharacteristic
260C22×C4×D3C2311yescharacteristic
261C22×C4×D3C2311yescharacteristic
262C22×C4×D3C2311yescharacteristic
263C22×C4×D3C2311yescharacteristic
264C22×Dic6C2311yescharacteristic
265C22×Dic6C2311yescharacteristic
266C22×Dic6C2311yescharacteristic
267C3×#124—24no—
268C3×#121—24no—
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C4⋊C4C2311yescharacteristic
272C2×C3×C4⋊C4C2311yescharacteristic
273C2×C3×C4⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C42C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298#947—24no—
299#939—24no—
300#939—42no—
301#938—24no—
302#937—24no—
303#937—24no—
304#937—42no—
305#937—42no—
306#936D418yescomplemented
307#935—24no—
308#929—24no—
309C4×#67—24no—
310C2×(C2×D3)⋊C4—42no—
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×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×C4⋊Dic3C2311yescharacteristic
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×C4×Dic3C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364C2×C4×Dic3C2311yescharacteristic
365C2×C4×Dic3C2311yescharacteristic
366C2×C4×Dic3C2311yescharacteristic
367C2×C4×Dic3C2311yescharacteristic
368C2×C4×Dic3C2311yescharacteristic
369C2×C4×Dic3C2311yescharacteristic
370#898—24no—
371#896—24no—
372#896—42no—
373#893—42no—
374#893—42no—
375#885—24no—
376#885—24no—
377#885—24no—
378#885—24no—
379#885—24no—
380#885—42no—
381#884—24no—
382#884—42no—
383#882—24no—
384#882—42no—
385#882—42no—
386#67⋊C4—24no—
387#67⋊C4—42no—
388D3×C22⋊C4—24no—
389D3×C22⋊C4—24no—
390D3×C22⋊C4—24no—
391D3×C22⋊C4—24no—
392D3×C22⋊C4—24no—
393#879—24no—
394#875—24no—
395C42×D3—24no—
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
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C23×Q8—31no—
427C23×D4—31no—
428C23×D4—31no—
429#538—68no—
430C2×#126—31no—
431C2×#126—31no—
432C2×#124—31no—
433C2×#124—31no—
434C2×#124—31no—
435C2×#124—31no—
436C2×#124—31no—
437C2×#124—31no—
438C2×#124—31no—
439C2×#124—31no—
440C2×#124—31no—
441C2×#124—68no—
442C2×#124C2×D311yescharacteristic
443C2×#123—31no—
444C2×#123—31no—
445C2×C22⋊Q8—31no—
446C2×C22⋊Q8—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121C2×D311yescharacteristic
453C2×#120—31no—
454C2×#120—31no—
455C2×#120—31no—
456C2×#120—31no—
457C2×#120—31no—
458C2×#120—31no—
459C2×#120—31no—
460C2×C4×D4—31no—
461C2×C4×D4—31no—
462C2×C4×D4—31no—
463C2×C4×D4—31no—
464C2×C4×D4—31no—
465C22×C22⋊C4—31no—
466C22×C22⋊C4—31no—
467C22×C22⋊C4—31no—
468C22×C22⋊C4—31no—
469C22×C22⋊C4—31no—
470C22×C22⋊C4—31no—
471C22×C42—31no—
472#399—31no—
473#397—31no—
474#397—31no—
475#397—31no—
476#397—31no—
477#397—31no—
478#397C2×D311yescharacteristic, complemented
479#396—31no—
480#396—31no—
481#396—31no—
482#395—31no—
483#395C2×D311yescharacteristic, complemented
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#394C2×D311yescharacteristic, complemented
495#394C2×D311yescharacteristic, complemented
496#393—31no—
497#393—31no—
498#393—31no—
499#393—31no—
500#393—31no—
501#393C2×D311yescharacteristic, complemented
502#392—31no—
503#392—31no—
504#392—31no—
505#392—31no—
506#392—31no—
507#392—31no—
508#392—31no—
509#392—31no—
510#392—31no—
511#392—31no—
512#391—31no—
513#391—31no—
514#391—31no—
515#391—31no—
516#390—31no—
517#390—31no—
518#390—31no—
519#390—31no—
520#390—31no—
521#390—31no—
522#389—31no—
523#388—31no—
524#388—31no—
525#388—31no—
526#388—31no—
527#388—31no—
528#388—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#388—31no—
535#388—31no—
536#388C2×D311yescharacteristic, complemented
537#387—31no—
538#387—31no—
539#387C2×D311yescharacteristic, complemented
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386—31no—
557#386—31no—
558#386—31no—
559#386C2×D311yescharacteristic
560#386C2×D311yescharacteristic, complemented
561#385—31no—
562#385—31no—
563#385—31no—
564#385—31no—
565#385—31no—
566#385—31no—
567#385C2×D311yescharacteristic, complemented
568#383—31no—
569#381C2×D311yescharacteristic, complemented
570#380—31no—
571#380—31no—
572#380C2×D311yescharacteristic, complemented
573#379—31no—
574#379—31no—
575#379—31no—
576#379—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—22no—
591C23×D3—22no—
592C23×D3—22no—
593C23×D3—22no—
594C23×D3—22no—
595C23×D3—22no—
596C23×D3—41no—
597C23×D3—41no—
598C23×D3—41no—
599C23×D3—41no—
600C23×D3—41no—
601C23×D3—41no—
602C23×D3—41no—
603C23×D3—41no—
604C23×D3—41no—
605C23×D3—41no—
606C23×D3—41no—
607C23×D3C2411yescharacteristic
608C23×D3C2411yescharacteristic
609C23×D3C2411yescharacteristic
610C23×D3C2411yescharacteristic
611C23×D3C2411yescharacteristic
612C2×C3×Q8—22no—
613C2×C3×Q8—41no—
614C2×C3×Q8—41no—
615C2×C3×D4—22no—
616C2×C3×D4—22no—
617C2×C3×D4—41no—
618C2×C3×D4—41no—
619C2×C3×D4—41no—
620C2×C3×D4—41no—
621C2×C3×D4—41no—
622C2×C3×D4—41no—
623C2×C3×D4C2×D414yes—
624C22×C3×C4—22no—
625C22×C3×C4—22no—
626C22×C3×C4—41no—
627C22×C3×C4—41no—
628C22×C3×C4—41no—
629C22×C3×C4—41no—
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C22×C3×C4C2411yescharacteristic
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
637C22×C3×C4C2411yescharacteristic
638C22×C3×C4C2411yescharacteristic
639C22×C3×C4C2411yescharacteristic
640C22×C3×C4C2411yescharacteristic
641C22×C3×C4C2411yescharacteristic
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—22no—
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—41no—
668C2×#67—41no—
669C22×Dic3—22no—
670C22×Dic3—41no—
671C22×Dic3—41no—
672C22×Dic3—41no—
673C22×Dic3—41no—
674C22×Dic3—41no—
675C22×Dic3C2411yescharacteristic
676C22×Dic3C2411yescharacteristic
677C22×Dic3C2411yescharacteristic
678C22×Dic3C2411yescharacteristic
679C22×Dic3C2411yescharacteristic
680C22×Dic3C2411yescharacteristic
681C22×Dic3C2411yescharacteristic
682C22×Dic3C2411yescharacteristic
683C22×Dic3C2411yescharacteristic
684C22×Dic3C2411yescharacteristic
685C22×Dic3C2411yescharacteristic
686D3×Q8—416no—
687D3×D4—416no—
688C2×D12—22no—
689C2×D12—22no—
690C2×D12—22no—
691C2×D12—22no—
692C2×D12—22no—
693C2×D12—22no—
694C2×D12—22no—
695C2×D12—22no—
696C2×D12—22no—
697C2×D12—416no—
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×D12—41no—
707C2×D12—41no—
708C2×D12—41no—
709C2×D12#4114yes—
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—22no—
718C2×C4×D3—22no—
719C2×C4×D3—22no—
720C2×C4×D3—22no—
721C2×C4×D3—22no—
722C2×C4×D3—22no—
723C2×C4×D3—41no—
724C2×C4×D3—41no—
725C2×C4×D3—41no—
726C2×C4×D3—41no—
727C2×C4×D3—41no—
728C2×C4×D3—41no—
729C2×C4×D3—41no—
730C2×C4×D3—41no—
731C2×Dic6—22no—
732C2×Dic6—22no—
733C2×Dic6—22no—
734C2×Dic6—22no—
735C2×Dic6—41no—
736C2×Dic6—41no—
737C2×Dic6—41no—
738C2×Dic6—41no—
739C2×Dic6C2×D414yescomplemented
740C3×C4⋊C4—22no—
741C3×C4⋊C4—41no—
742C3×C4⋊C4—41no—
743C3×C4⋊C4—41no—
744C3×C4⋊C4—41no—
745C3×C22⋊C4—22no—
746C3×C22⋊C4—22no—
747C3×C22⋊C4—22no—
748C3×C22⋊C4—22no—
749C3×C22⋊C4—22no—
750C3×C22⋊C4—22no—
751C3×C22⋊C4—22no—
752C3×C22⋊C4—22no—
753C3×C22⋊C4—41no—
754C3×C22⋊C4—41no—
755C3×C22⋊C4—41no—
756C3×C22⋊C4—41no—
757C3×C22⋊C4—41no—
758C3×C42—22no—
759#217—22no—
760#217—22no—
761#217—22no—
762#217—41no—
763#217—41no—
764#217—41no—
765#217C2×D414yes—
766#217C2×D414yes—
767#217C2×D414yescomplemented
768#217C2×D414yescomplemented
769(C2×D3)⋊C4—22no—
770(C2×D3)⋊C4—22no—
771(C2×D3)⋊C4—22no—
772(C2×D3)⋊C4—22no—
773(C2×D3)⋊C4—22no—
774(C2×D3)⋊C4—22no—
775(C2×D3)⋊C4—22no—
776(C2×D3)⋊C4—22no—
777(C2×D3)⋊C4—22no—
778(C2×D3)⋊C4—22no—
779(C2×D3)⋊C4—22no—
780(C2×D3)⋊C4—22no—
781(C2×D3)⋊C4—22no—
782(C2×D3)⋊C4—22no—
783(C2×D3)⋊C4—22no—
784(C2×D3)⋊C4—22no—
785(C2×D3)⋊C4—22no—
786(C2×D3)⋊C4—22no—
787(C2×D3)⋊C4—22no—
788(C2×D3)⋊C4—22no—
789(C2×D3)⋊C4—22no—
790(C2×D3)⋊C4—22no—
791(C2×D3)⋊C4—22no—
792(C2×D3)⋊C4—41no—
793(C2×D3)⋊C4—41no—
794(C2×D3)⋊C4—41no—
795(C2×D3)⋊C4—41no—
796(C2×D3)⋊C4—41no—
797(C2×D3)⋊C4—41no—
798(C2×D3)⋊C4—41no—
799(C2×D3)⋊C4—41no—
800(C2×D3)⋊C4—41no—
801(C2×D3)⋊C4—41no—
802(C2×D3)⋊C4—41no—
803(C2×D3)⋊C4—41no—
804(C2×D3)⋊C4—41no—
805(C2×D3)⋊C4—41no—
806(C2×D3)⋊C4—41no—
807(C2×D3)⋊C4—41no—
808C4⋊Dic3—22no—
809Dic3⋊C4—22no—
810Dic3⋊C4—22no—
811Dic3⋊C4—22no—
812Dic3⋊C4—22no—
813Dic3⋊C4—22no—
814Dic3⋊C4—22no—
815Dic3⋊C4—41no—
816Dic3⋊C4—41no—
817Dic3⋊C4—41no—
818Dic3⋊C4—41no—
819Dic3⋊C4—41no—
820C4×Dic3—22no—
821C4×Dic3—22no—
822C4×Dic3—22no—
823C4×Dic3—41no—
824C4×Dic3—41no—
825C4×Dic3—41no—
826C4×Dic3—41no—
827C4×Dic3C2×D414yescomplemented
828C25—31no—
829C25—31no—
830C25—31no—
831C22×Q8—31no—
832C22×Q8—31no—
833C22×Q8—31no—
834C22×Q8—64no—
835C22×Q8—122no—
836C22×Q8—122no—
837C22×Q8C22×D311yescharacteristic
838C22×D4—31no—
839C22×D4—31no—
840C22×D4—31no—
841C22×D4—31no—
842C22×D4—31no—
843C22×D4—31no—
844C22×D4—31no—
845C22×D4—31no—
846C22×D4—31no—
847C22×D4—31no—
848C22×D4—31no—
849C22×D4—31no—
850C22×D4—31no—
851C22×D4—31no—
852C22×D4—31no—
853C22×D4—31no—
854C22×D4—64no—
855C22×D4—64no—
856C22×D4—122no—
857C22×D4—122no—
858C22×D4—122no—
859C22×D4—122no—
860C22×D4C22×D311yescharacteristic
861C22×D4C22×D311yescharacteristic
862C22×D4C22×D311yescharacteristic
863C23×C4—31no—
864C23×C4—31no—
865C23×C4—31no—
866C23×C4—31no—
867C23×C4—31no—
868C23×C4—31no—
869C23×C4—31no—
870C23×C4—31no—
871C23×C4—31no—
872C23×C4C22×D311yescharacteristic
873C23×C4C22×D311yescharacteristic
874#126—64no—
875#126—64no—
876#124—24no—
877#124—38no—
878#124—64no—
879#124—64no—
880#124—64no—
881#124—64no—
882#124—64no—
883#124—64no—
884#124—64no—
885#124—122no—
886#123—64no—
887#123—64no—
888C22⋊Q8—64no—
889C22⋊Q8—122no—
890#121—24no—
891#121—64no—
892#121—64no—
893#121—64no—
894#121—122no—
895#121—122no—
896#120—64no—
897#120—64no—
898#120—64no—
899#120—122no—
900#120—122no—
901#120—122no—
902#120—122no—
903C4×D4—64no—
904C4×D4—64no—
905C4×D4—122no—
906C4×D4—122no—
907C4×D4—122no—
908C2×C4⋊C4—31no—
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⋊C4C22×D311yescharacteristic
921C2×C4⋊C4C22×D311yescharacteristic
922C2×C4⋊C4C22×D311yescharacteristic
923C2×C4⋊C4C22×D311yescharacteristic
924C2×C4⋊C4C22×D311yescharacteristic
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊C4—31no—
943C2×C22⋊C4—31no—
944C2×C22⋊C4—31no—
945C2×C22⋊C4—31no—
946C2×C22⋊C4—31no—
947C2×C22⋊C4—31no—
948C2×C22⋊C4—31no—
949C2×C22⋊C4—31no—
950C2×C22⋊C4—31no—
951C2×C22⋊C4—31no—
952C2×C22⋊C4—31no—
953C2×C22⋊C4—31no—
954C2×C22⋊C4—31no—
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
957C2×C22⋊C4—31no—
958C2×C22⋊C4—31no—
959C2×C22⋊C4—31no—
960C2×C22⋊C4—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—64no—
975C2×C22⋊C4—64no—
976C2×C22⋊C4—64no—
977C2×C22⋊C4—64no—
978C2×C22⋊C4—64no—
979C2×C22⋊C4—122no—
980C2×C22⋊C4C22×D311yescharacteristic
981C2×C22⋊C4C22×D311yescharacteristic
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×C42—31no—
994C2×C42—31no—
995C2×C42—31no—
996C2×C42—31no—
997C2×C42—31no—
998C2×C42—31no—
999C2×C42—31no—
1000C2×C42—31no—
1001C2×C42—64no—
1002C2×C42C22×D311yescharacteristic
1003#95—31no—
1004#95—31no—
1005#95—31no—
1006#95—31no—
1007#95—31no—
1008#95—31no—
1009#95—31no—
1010#95—31no—
1011#95—31no—
1012#95—31no—
1013#95—31no—
1014#95—31no—
1015#95—31no—
1016#95—31no—
1017#95—31no—
1018#95—31no—
1019#95—31no—
1020#95—31no—
1021#95—31no—
1022#95—31no—
1023#95C22×D311yescharacteristic
1024#95C22×D311yescharacteristic
1025#95C22×D311yescharacteristic
1026#95C22×D311yescharacteristic
1027#95C22×D311yescharacteristic
1028#95C22×D311yescharacteristic
1029#95C22×D311yescharacteristic
1030#95C22×D311yescharacteristic
1031#95C22×D311yescharacteristic
1032#95C22×D311yescharacteristic
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×C3—21no—
1052C23×C3C22×D412yes—
1053C23×C3C22×D412yes—
1054C23×C3C2511yescharacteristic
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—21no—
1086C22×D3—44no—
1087C22×D3—44no—
1088C22×D3—44no—
1089C22×D3—44no—
1090C22×D3—44no—
1091C22×D3—44no—
1092C22×D3—44no—
1093C22×D3—44no—
1094C22×D3—44no—
1095C22×D3—44no—
1096C22×D3—82no—
1097C22×D3—82no—
1098C22×D3—82no—
1099C22×D3—82no—
1100C22×D3—82no—
1101C22×D3—82no—
1102C22×D3—82no—
1103C22×D3—82no—
1104C22×D3—82no—
1105C22×D3—82no—
1106C22×D3—82no—
1107C22×D3C2×#4112yes—
1108C22×D3C2×#4112yes—
1109C22×D3H(5,𝔽2)12yes—
1110C22×D3H(5,𝔽2)12yes—
1111C3×Q8—44no—
1112C3×D4—44no—
1113C3×D4—82no—
1114C3×D4—82no—
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—21no—
1140C2×C3×C4—21no—
1141C2×C3×C4—21no—
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—44no—
1150C2×C3×C4—82no—
1151C2×C3×C4C22×D412yes—
1152C2×C3×C4C2×#4112yes—
1153#67—44no—
1154#67—44no—
1155#67—44no—
1156#67—44no—
1157#67—44no—
1158#67—82no—
1159#67—82no—
1160#67—82no—
1161#67—82no—
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—21no—
1183C2×Dic3—21no—
1184C2×Dic3—21no—
1185C2×Dic3—21no—
1186C2×Dic3—21no—
1187C2×Dic3—21no—
1188C2×Dic3—21no—
1189C2×Dic3—21no—
1190C2×Dic3—82no—
1191C2×Dic3—82no—
1192C2×Dic3C22×D412yes—
1193C2×Dic3C22×D412yes—
1194C2×Dic3C22×D412yes—
1195C2×Dic3C22×D412yes—
1196C2×Dic3H(5,𝔽2)12yes—
1197D12—28no—
1198D12—44no—
1199D12—44no—
1200D12—44no—
1201D12—44no—
1202D12—82no—
1203D12—82no—
1204C4×D3—28no—
1205C4×D3—44no—
1206C4×D3—44no—
1207C4×D3—44no—
1208C4×D3—44no—
1209C4×D3—82no—
1210C4×D3—82no—
1211Dic6—44no—
1212Dic6—44no—
1213Dic6—44no—
1214C24—31no—
1215C24—31no—
1216C24—31no—
1217C24—31no—
1218C24—31no—
1219C24—62no—
1220C24—62no—
1221C24—62no—
1222C24—62no—
1223C24—62no—
1224C24—62no—
1225C24—62no—
1226C24—62no—
1227C24—62no—
1228C24—62no—
1229C24—121no—
1230C24—121no—
1231C24—121no—
1232C24—121no—
1233C24—121no—
1234C24—121no—
1235C24—121no—
1236C24—121no—
1237C24—121no—
1238C24—121no—
1239C24—121no—
1240C24C23×D311yescharacteristic
1241C24C23×D311yescharacteristic
1242C24C23×D311yescharacteristic
1243C2×Q8—22no—
1244C2×Q8—34no—
1245C2×Q8—41no—
1246C2×Q8—41no—
1247C2×Q8—62no—
1248C2×Q8—62no—
1249C2×Q8—62no—
1250C2×Q8—62no—
1251C2×Q8—121no—
1252C2×Q8—121no—
1253C2×Q8—121no—
1254C2×Q8—121no—
1255C2×Q8—1216no—
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—34no—
1259C2×D4—41no—
1260C2×D4—41no—
1261C2×D4—41no—
1262C2×D4—41no—
1263C2×D4—41no—
1264C2×D4—41no—
1265C2×D4—62no—
1266C2×D4—62no—
1267C2×D4—62no—
1268C2×D4—62no—
1269C2×D4—62no—
1270C2×D4—62no—
1271C2×D4—62no—
1272C2×D4—62no—
1273C2×D4—62no—
1274C2×D4—62no—
1275C2×D4—62no—
1276C2×D4—62no—
1277C2×D4—62no—
1278C2×D4—62no—
1279C2×D4—62no—
1280C2×D4—62no—
1281C2×D4—62no—
1282C2×D4—62no—
1283C2×D4—62no—
1284C2×D4—62no—
1285C2×D4—62no—
1286C2×D4—62no—
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—1216no—
1299C2×D4—1216no—
1300C2×D4—121no—
1301C2×D4—121no—
1302C2×D4—121no—
1303C2×D4—121no—
1304C2×D4—121no—
1305C2×D4—121no—
1306C2×D4—121no—
1307C2×D4—121no—
1308C2×D4—121no—
1309C2×D4—121no—
1310C2×D4—121no—
1311C2×D4—121no—
1312C2×D4—121no—
1313C2×D4—121no—
1314C2×D4D3×D414yes—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—31no—
1318C22×C4—31no—
1319C22×C4—31no—
1320C22×C4—31no—
1321C22×C4—31no—
1322C22×C4—31no—
1323C22×C4—31no—
1324C22×C4—31no—
1325C22×C4—31no—
1326C22×C4—31no—
1327C22×C4—31no—
1328C22×C4—41no—
1329C22×C4—41no—
1330C22×C4—41no—
1331C22×C4—41no—
1332C22×C4—62no—
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—121no—
1347C22×C4—121no—
1348C22×C4—121no—
1349C22×C4—121no—
1350C22×C4—121no—
1351C22×C4—121no—
1352C22×C4—121no—
1353C22×C4—121no—
1354C22×C4—121no—
1355C22×C4—121no—
1356C22×C4—121no—
1357C22×C4—121no—
1358C22×C4—121no—
1359C22×C4C23×D311yescharacteristic
1360C22×C4C23×D311yescharacteristic
1361C22×C4C23×D311yescharacteristic
1362C22×C4C23×D311yescharacteristic
1363C22×C4C23×D311yescharacteristic
1364C22×C4C23×D311yescharacteristic
1365C22×C4C23×D311yescharacteristic
1366C22×C4C23×D311yescharacteristic
1367C22×C4C23×D311yescharacteristic
1368C22×C4C23×D311yescharacteristic
1369C22×C4C23×D311yescharacteristic
1370C22×C4C23×D311yescharacteristic
1371C4⋊C4—22no—
1372C4⋊C4—41no—
1373C4⋊C4—41no—
1374C4⋊C4—41no—
1375C4⋊C4—41no—
1376C4⋊C4—62no—
1377C4⋊C4—62no—
1378C4⋊C4—62no—
1379C4⋊C4—62no—
1380C4⋊C4—62no—
1381C4⋊C4—62no—
1382C4⋊C4—62no—
1383C4⋊C4—121no—
1384C4⋊C4—121no—
1385C4⋊C4—121no—
1386C4⋊C4—121no—
1387C4⋊C4—121no—
1388C22⋊C4—22no—
1389C22⋊C4—22no—
1390C22⋊C4—22no—
1391C22⋊C4—22no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—22no—
1396C22⋊C4—34no—
1397C22⋊C4—34no—
1398C22⋊C4—34no—
1399C22⋊C4—34no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—41no—
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—62no—
1415C22⋊C4—62no—
1416C22⋊C4—62no—
1417C22⋊C4—62no—
1418C22⋊C4—62no—
1419C22⋊C4—62no—
1420C22⋊C4—62no—
1421C22⋊C4—62no—
1422C22⋊C4—62no—
1423C22⋊C4—62no—
1424C22⋊C4—62no—
1425C22⋊C4—62no—
1426C22⋊C4—62no—
1427C22⋊C4—62no—
1428C22⋊C4—62no—
1429C22⋊C4—62no—
1430C22⋊C4—62no—
1431C22⋊C4—121no—
1432C22⋊C4—121no—
1433C22⋊C4—121no—
1434C22⋊C4—121no—
1435C22⋊C4—121no—
1436C22⋊C4—121no—
1437C22⋊C4—121no—
1438C22⋊C4—121no—
1439C22⋊C4—121no—
1440C22⋊C4—121no—
1441C22⋊C4—121no—
1442C22⋊C4—121no—
1443C22⋊C4—121no—
1444C22⋊C4—121no—
1445C22⋊C4—121no—
1446C22⋊C4—121no—
1447C22⋊C4—121no—
1448C22⋊C4—121no—
1449C22⋊C4—121no—
1450C42—22no—
1451C42—34no—
1452C42—62no—
1453C42—62no—
1454C42—62no—
1455C42—121no—
1456C42—121no—
1457C42—121no—
1458C42—121no—
1459C22×C3—22no—
1460C22×C3—22no—
1461C22×C3—22no—
1462C22×C3—22no—
1463C22×C3—22no—
1464C22×C3—22no—
1465C22×C3—41no—
1466C22×C3—41no—
1467C22×C3—41no—
1468C22×C3—41no—
1469C22×C3—41no—
1470C22×C3—41no—
1471C22×C3—41no—
1472C22×C3—41no—
1473C22×C3—41no—
1474C22×C3—41no—
1475C22×C3—41no—
1476C22×C3—41no—
1477C22×C3—41no—
1478C22×C3—41no—
1479C22×C3—41no—
1480C22×C3C23×D411yescharacteristic
1481C22×C3C22×#4111yescharacteristic
1482C22×C3C2×H(5,𝔽2)11yescharacteristic
1483C22×C3C2×H(5,𝔽2)11yescharacteristic
1484C22×C3C2×H(5,𝔽2)11yescharacteristic
1485C22×C3#58511yescharacteristic
1486C22×C3#58511yescharacteristic
1487C2×D3—22no—
1488C2×D3—22no—
1489C2×D3—22no—
1490C2×D3—22no—
1491C2×D3—22no—
1492C2×D3—22no—
1493C2×D3—22no—
1494C2×D3—22no—
1495C2×D3—22no—
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—41no—
1512C2×D3—41no—
1513C2×D3—41no—
1514C2×D3—41no—
1515C2×D3—41no—
1516C2×D3—41no—
1517C2×D3—41no—
1518C2×D3—41no—
1519C2×D3—41no—
1520C2×D3—41no—
1521C2×D3—88no—
1522C2×D3—88no—
1523C2×D3—88no—
1524C2×D3#53814yescomplemented
1525C3×C4—22no—
1526C3×C4—22no—
1527C3×C4—41no—
1528C3×C4—41no—
1529C3×C4—41no—
1530C3×C4—41no—
1531C3×C4—41no—
1532C3×C4—41no—
1533C3×C4—41no—
1534C3×C4—41no—
1535C3×C4—41no—
1536C3×C4—41no—
1537Dic3—22no—
1538Dic3—22no—
1539Dic3—22no—
1540Dic3—22no—
1541Dic3—22no—
1542Dic3—41no—
1543Dic3—41no—
1544Dic3—41no—
1545Dic3—41no—
1546Dic3—41no—
1547Dic3—41no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—32no—
1568C23—32no—
1569C23—32no—
1570C23—32no—
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—61no—
1592C23—61no—
1593C23—61no—
1594C23—61no—
1595C23—61no—
1596C23—61no—
1597C23—61no—
1598C23—61no—
1599C23—61no—
1600C23—61no—
1601C23—61no—
1602C23—124no—
1603C23—124no—
1604C23—124no—
1605C23—124no—
1606C23—124no—
1607C23—124no—
1608C23—124no—
1609C23—124no—
1610C23—124no—
1611C23—124no—
1612C23—242no—
1613C23—242no—
1614C23—242no—
1615C23—242no—
1616C23—242no—
1617C23—242no—
1618C23—242no—
1619C23—242no—
1620C23—242no—
1621C23—242no—
1622C23—242no—
1623C23C2×D3×D412yes—
1624C23C2×D3×D412yes—
1625C23C24×D311yescharacteristic
1626Q8—44no—
1627Q8—124no—
1628Q8—124no—
1629Q8—124no—
1630D4—44no—
1631D4—68no—
1632D4—82no—
1633D4—82no—
1634D4—124no—
1635D4—124no—
1636D4—124no—
1637D4—124no—
1638D4—124no—
1639D4—124no—
1640D4—124no—
1641D4—124no—
1642D4—124no—
1643D4—242no—
1644D4—242no—
1645D4—242no—
1646D4—242no—
1647D4—242no—
1648D4—242no—
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—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—32no—
1684C2×C4—32no—
1685C2×C4—32no—
1686C2×C4—32no—
1687C2×C4—32no—
1688C2×C4—44no—
1689C2×C4—68no—
1690C2×C4—61no—
1691C2×C4—61no—
1692C2×C4—61no—
1693C2×C4—61no—
1694C2×C4—61no—
1695C2×C4—61no—
1696C2×C4—61no—
1697C2×C4—61no—
1698C2×C4—61no—
1699C2×C4—61no—
1700C2×C4—61no—
1701C2×C4—61no—
1702C2×C4—61no—
1703C2×C4—61no—
1704C2×C4—61no—
1705C2×C4—61no—
1706C2×C4—61no—
1707C2×C4—61no—
1708C2×C4—61no—
1709C2×C4—61no—
1710C2×C4—61no—
1711C2×C4—61no—
1712C2×C4—61no—
1713C2×C4—61no—
1714C2×C4—61no—
1715C2×C4—61no—
1716C2×C4—61no—
1717C2×C4—61no—
1718C2×C4—82no—
1719C2×C4—124no—
1720C2×C4—124no—
1721C2×C4—124no—
1722C2×C4—124no—
1723C2×C4—242no—
1724C2×C4—242no—
1725C2×C4—242no—
1726C2×C4—242no—
1727C2×C4C2×D3×D412yes—
1728C2×C4D3×#4112yes—
1729C2×C3—42no—
1730C2×C3—42no—
1731C2×C3—81no—
1732C2×C3C2×#53811yescharacteristic
1733C2×C3D4×#4111yescharacteristic
1734C2×C3#348411yescharacteristic
1735C2×C3#348811yescharacteristic
1736C2×C3#351411yescharacteristic
1737C2×C3#354511yescharacteristic
1738C2×C3#355811yescharacteristic
1739D3—24no—
1740D3—42no—
1741D3—81no—
1742D3—81no—
1743D3—81no—
1744C22—22no—
1745C22—22no—
1746C22—22no—
1747C22—22no—
1748C22—22no—
1749C22—22no—
1750C22—34no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—62no—
1767C22—62no—
1768C22—62no—
1769C22—62no—
1770C22—62no—
1771C22—62no—
1772C22—62no—
1773C22—62no—
1774C22—62no—
1775C22—121no—
1776C22—121no—
1777C22—121no—
1778C22—121no—
1779C22—121no—
1780C22—121no—
1781C22—121no—
1782C22—121no—
1783C22—121no—
1784C22—121no—
1785C22—121no—
1786C22—121no—
1787C22—121no—
1788C22—121no—
1789C22—121no—
1790C22—121no—
1791C22—121no—
1792C22—121no—
1793C22—121no—
1794C22—121no—
1795C22—121no—
1796C22—121no—
1797C22—121no—
1798C22—121no—
1799C22—121no—
1800C22—248no—
1801C22—248no—
1802C22—248no—
1803C22C22×D3×D411yescharacteristic
1804C22C2×D3×#4111yescharacteristic
1805C22#596411yescharacteristic
1806C22D3×H(5,𝔽2)11yescharacteristic
1807C22D3×H(5,𝔽2)11yescharacteristic
1808C22D3×H(5,𝔽2)11yescharacteristic
1809C22#596811yescharacteristic
1810C4—22no—
1811C4—22no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—41no—
1817C4—41no—
1818C4—41no—
1819C4—41no—
1820C4—41no—
1821C4—41no—
1822C4—62no—
1823C4—62no—
1824C4—62no—
1825C4—62no—
1826C4—62no—
1827C4—121no—
1828C4—121no—
1829C4—121no—
1830C4—121no—
1831C4—121no—
1832C4—121no—
1833C3#3771611yescharacteristic, complemented, Sylow
1834C2—42no—
1835C2—42no—
1836C2—64no—
1837C2—81no—
1838C2—122no—
1839C2—241no—
1840C2—241no—
1841C2—241no—
1842C2#8630811yescharacteristic
1843C2D3×#53811yescharacteristic
1844C2#8656511yescharacteristic
1845C2#8662911yescharacteristic
1846C2#8667411yescharacteristic
1847C2#8696211yescharacteristic
1848C2#8711311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2686C2
hypercenter#2686D3
hypocenterC3#37716
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2686

Complements

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

NH ≅ G/Ntype
1. C2×D3×#124C2semidirect
2. C2×#5613C2semidirect
3. C3×#2686C2semidirect
4. #83005C2semidirect
5. #82702C2semidirect
6. #77480C2semidirect
7. #77474C2semidirect
8. #77209C2semidirect
9. #77172C2semidirect
10. #77135C2semidirect
11. #77129C2semidirect
12. #77114C2semidirect
13. #77113C2semidirect
14. #77111C2semidirect
15. #76949C2semidirect
16. #76811C2semidirect
17. #76781C2semidirect
18. #75712C2semidirect
19. #75452C2semidirect
20. #75446C2semidirect
21. #75399C2semidirect
22. #74887C2semidirect
23. #74884C2semidirect
24. #74758C2semidirect
25. #74671C2semidirect
26. #74596C2semidirect
27. #74526C2semidirect
28. #74126C2semidirect
29. #74070C2semidirect
30. #74007C2semidirect
31. #73971C2semidirect
33. C22×D3×Q8C22semidirect
38. C2×#947C22semidirect
39. C2×#939C22semidirect
40. C2×#939C22semidirect
41. C2×#938C22semidirect
44. C2×#937C22semidirect
45. C2×#937C22semidirect
47. C2×#935C22semidirect
48. C2×#929C22semidirect
49. C2×C4×#67C22semidirect
50. C22×(C2×D3)⋊C4C22semidirect
53. C2×#898C22semidirect
54. C2×#896C22semidirect
55. C2×#896C22semidirect
60. C2×#885C22semidirect
61. C2×#885C22semidirect
62. C2×#885C22semidirect
63. C2×#885C22semidirect
69. C2×#67⋊C4C22semidirect
70. C2×#67⋊C4C22semidirect
73. C2×D3×C22⋊C4C22semidirect
74. C2×D3×C22⋊C4C22semidirect
75. C2×D3×C22⋊C4C22semidirect
76. C2×#879C22semidirect
77. C2×#875C22semidirect
78. C2×C42×D3C22semidirect
79. C3×#397C22semidirect
80. C3×#395C22semidirect
81. C3×#394C22semidirect
82. C3×#394C22semidirect
83. C3×#394C22semidirect
84. C3×#393C22semidirect
85. C3×#388C22semidirect
86. C3×#387C22semidirect
88. C3×#386C22semidirect
89. C3×#385C22semidirect
90. C3×#381C22semidirect
91. C3×#380C22semidirect
92. #5231C22semidirect
93. #5231C22semidirect
97. #5213C22semidirect
98. #5210C22semidirect
99. C4×#217C22semidirect
100. #4994C22semidirect
101. #4994C22semidirect
102. #4993C22semidirect
103. #4991C22semidirect
104. #4990C22semidirect
105. #4990C22semidirect
106. #4989C22semidirect
107. #4989C22semidirect
108. #4989C22semidirect
109. #4988C22semidirect
110. #4988C22semidirect
111. #4988C22semidirect
112. #4988C22semidirect
113. #4979C22semidirect
114. #4976C22semidirect
117. #4960C22semidirect
118. #4960C22semidirect
119. #4960C22semidirect
120. #4960C22semidirect
121. #4960C22semidirect
123. #4959C22semidirect
124. #4959C22semidirect
125. #4959C22semidirect
126. #4958C22semidirect
127. #4958C22semidirect
128. #4958C22semidirect
129. #4958C22semidirect
130. #4957C22semidirect
131. #4957C22semidirect
132. #4956C22semidirect
133. #4956C22semidirect
136. #4955C22semidirect
137. #4955C22semidirect
138. #4952C22semidirect
139. #4952C22semidirect
140. #4947C22semidirect
141. #4946C22semidirect
142. #4945C22semidirect
143. #4945C22semidirect
144. #4944C22semidirect
145. #4944C22semidirect
146. Dic3×C22⋊C4C22semidirect
147. Dic3×C22⋊C4C22semidirect
148. #4940C22semidirect
149. #4940C22semidirect
150. #4676C22semidirect
151. #4675C22semidirect
152. #4675C22semidirect
153. #4675C22semidirect
154. #4673C22semidirect
155. #4673C22semidirect
156. #4672C22semidirect
157. #4672C22semidirect
158. #4672C22semidirect
159. #4672C22semidirect
162. #4669C22semidirect
163. #4669C22semidirect
164. #4669C22semidirect
165. #4669C22semidirect
166. #4669C22semidirect
167. #4668C22semidirect
168. #4667C22semidirect
169. #4667C22semidirect
170. #4666C22semidirect
171. #4666C22semidirect
178. #4665C22semidirect
179. #4665C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. #4655C22semidirect
183. #4652C22semidirect
184. #4651C22semidirect
185. #4649C22semidirect
186. #4646C22semidirect
187. #4646C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
197. #2686D3semidirect
306. #936D4semidirect
478. #397C2×D3semidirect
483. #395C2×D3semidirect
493. #394C2×D3semidirect
494. #394C2×D3semidirect
495. #394C2×D3semidirect
501. #393C2×D3semidirect
536. #388C2×D3semidirect
539. #387C2×D3semidirect
560. #386C2×D3semidirect
567. #385C2×D3semidirect
569. #381C2×D3semidirect
572. #380C2×D3semidirect
739. C2×Dic6C2×D4semidirect
767. #217C2×D4semidirect
768. #217C2×D4semidirect
827. C4×Dic3C2×D4semidirect
1524. C2×D3#538semidirect
1833. C3#37716semidirect

Maximal subgroups

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

subgroupindex
C2×D3×#1242
C2×#56132
C3×#26862
#830052
#827022
#774802
#774742
#772092
#771722
#771352
#771292
#771142
#771132
#771112
#769492
#768112
#767812
#757122
#754522
#754462
#753992
#748872
#748842
#747582
#746712
#745962
#745262
#741262
#740702
#740072
#739712
#377163