Finite Group Databasebeta

← #11302192

Subgroups — #11302192

Order 768.

2868 conjugacy classes of subgroups.

The subgroup lattice has 1926 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5683C211yesmaximal, characteristic, complemented
2C2×#5493C211yesmaximal, characteristic, complemented
3C3×#2472C211yesmaximal, characteristic, complemented
4#82986C211yesmaximal, characteristic, complemented
5#82827C211yesmaximal, characteristic, complemented
6#82756C211yesmaximal, characteristic, complemented
7#82605C211yesmaximal, characteristic, complemented
8#82604C211yesmaximal, characteristic, complemented
9#82111C211yesmaximal, characteristic, complemented
10#77684C211yesmaximal, characteristic, complemented
11#77589C211yesmaximal, characteristic, complemented
12#77146C211yesmaximal, characteristic, complemented
13#77123C211yesmaximal, characteristic, complemented
14#77001C211yesmaximal, characteristic, complemented
15#76895C211yesmaximal, characteristic, complemented
16#76876C211yesmaximal, characteristic, complemented
17#76797C211yesmaximal, characteristic, complemented
18#76436C211yesmaximal, characteristic, complemented
19#76357C211yesmaximal, characteristic, complemented
20#75917C211yesmaximal, characteristic, complemented
21#75836C211yesmaximal, characteristic, complemented
22#75690C211yesmaximal, characteristic, complemented
23#75665C211yesmaximal, characteristic, complemented
24#74916C211yesmaximal, characteristic, complemented
25#74911C211yesmaximal, characteristic, complemented
26#74910C211yesmaximal, characteristic, complemented
27#74756C211yesmaximal, characteristic, complemented
28#73854C211yesmaximal, characteristic, complemented
29#73827C211yesmaximal, characteristic, complemented
30#73600C211yesmaximal, characteristic, complemented
31#73486C211yesmaximal, characteristic, complemented
32#47848—31nomaximal, Sylow
33C23×#67C2211yescharacteristic
34C23×#67C2211yescharacteristic, complemented
35C22×D3×D4C2211yescharacteristic, complemented
36C2×C3×#124C2211yescharacteristic, complemented
37C2×C3×C22⋊Q8C2211yescharacteristic, complemented
38C2×C3×#120C2211yescharacteristic
39C22×C3×C22⋊C4C2211yescharacteristic, complemented
40C2×#953C2211yescharacteristic
41C2×#947C2211yescharacteristic, complemented
42C2×#947C2211yescharacteristic, complemented
43C2×#938C2211yescharacteristic
44C2×#938C2211yescharacteristic, complemented
45C2×#937C2211yescharacteristic
46C2×#937C2211yescharacteristic, complemented
47C2×#937C2211yescharacteristic, complemented
48C2×#930C2211yescharacteristic
49C2×#930C2211yescharacteristic
50C2×#930C2211yescharacteristic, complemented
51C2×#930C2211yescharacteristic, complemented
52C2×#924C2211yescharacteristic, complemented
53#5683—28no—
54C2×#895C2211yescharacteristic, complemented
55C2×#893C2211yescharacteristic, complemented
56#5493—28no—
57C2×#886C2211yescharacteristic
58C2×#886C2211yescharacteristic, complemented
59C2×#886C2211yescharacteristic, complemented
60C2×#886C2211yescharacteristic, complemented
61C2×#885C2211yescharacteristic
62C2×#885C2211yescharacteristic, complemented
63C2×#885C2211yescharacteristic, complemented
64C2×#885C2211yescharacteristic, complemented
65C2×#885C2211yescharacteristic, complemented
66C2×#884C2211yescharacteristic
67C2×#884C2211yescharacteristic, complemented
68C2×#884C2211yescharacteristic, complemented
69C2×#882C2211yescharacteristic
70C2×#882C2211yescharacteristic
71C2×#882C2211yescharacteristic
72C2×#882C2211yescharacteristic, complemented
73C2×#882C2211yescharacteristic, complemented
74C2×#882C2211yescharacteristic, complemented
75C2×#882C2211yescharacteristic, complemented
76C2×D3×C22⋊C4C2211yescharacteristic, complemented
77C2×D3×C22⋊C4C2211yescharacteristic, complemented
78C2×#878C2211yescharacteristic, complemented
79C2×#875C2211yescharacteristic, complemented
80C2×#875C2211yescharacteristic, complemented
81C2×C4×D12C2211yescharacteristic, complemented
82C3×#397C2211yescharacteristic, complemented
83C3×#394C2211yescharacteristic, complemented
84C3×#394C2211yescharacteristic, complemented
85C3×#393C2211yescharacteristic, complemented
86C3×#390C2211yescharacteristic, complemented
87C3×#388C2211yescharacteristic, complemented
88C3×#388C2211yescharacteristic, complemented
89C3×#386C2211yescharacteristic, complemented
90C3×#386C2211yescharacteristic, complemented
91C3×#379C2211yescharacteristic, complemented
92C3×C4×C22⋊C4C2211yescharacteristic, complemented
93#5247C2211yescharacteristic, complemented
94#5231C2211yescharacteristic, complemented
95#5229C2211yescharacteristic, complemented
96#5223C2211yescharacteristic
97#5223C2211yescharacteristic
98#5223C2211yescharacteristic, complemented
99#5223C2211yescharacteristic, complemented
100#5220C2211yescharacteristic, complemented
101#5220C2211yescharacteristic, complemented
102#5213C2211yescharacteristic, complemented
103#5213C2211yescharacteristic, complemented
104C4×#217C2211yescharacteristic, complemented
105#4994C2211yescharacteristic, complemented
106#4992C2211yescharacteristic, complemented
107#4992C2211yescharacteristic, complemented
108#4991C2211yescharacteristic, complemented
109#4991C2211yescharacteristic, complemented
110#4989C2211yescharacteristic, complemented
111#4987C2211yescharacteristic, complemented
112#4987C2211yescharacteristic, complemented
113#4984C2211yescharacteristic, complemented
114#4980C2211yescharacteristic, complemented
115#4961C2211yescharacteristic, complemented
116#4961C2211yescharacteristic, complemented
117#4961C2211yescharacteristic, complemented
118#4961C2211yescharacteristic, complemented
119#4961C2211yescharacteristic, complemented
120#4961C2211yescharacteristic, complemented
121#4961C2211yescharacteristic, complemented
122#4960C2211yescharacteristic
123#4960C2211yescharacteristic
124#4960C2211yescharacteristic, complemented
125#4960C2211yescharacteristic, complemented
126#4960C2211yescharacteristic, complemented
127#4959C2211yescharacteristic, complemented
128#4959C2211yescharacteristic, complemented
129#4959C2211yescharacteristic, complemented
130#4959C2211yescharacteristic, complemented
131#4959C2211yescharacteristic, complemented
132#4958C2211yescharacteristic, complemented
133#4958C2211yescharacteristic, complemented
134#4957C2211yescharacteristic
135#4957C2211yescharacteristic, complemented
136#4957C2211yescharacteristic, complemented
137#4957C2211yescharacteristic, complemented
138#4956C2211yescharacteristic
139#4956C2211yescharacteristic, complemented
140#4956C2211yescharacteristic, complemented
141#4956C2211yescharacteristic, complemented
142#4956C2211yescharacteristic, complemented
143#4956C2211yescharacteristic, complemented
144#4956C2211yescharacteristic, complemented
145#4955C2211yescharacteristic, complemented
146#4955C2211yescharacteristic, complemented
147#4955C2211yescharacteristic, complemented
148#4955C2211yescharacteristic, complemented
149#4955C2211yescharacteristic, complemented
150#4953C2211yescharacteristic, complemented
151#4952C2211yescharacteristic, complemented
152#4951C2211yescharacteristic, complemented
153#4951C2211yescharacteristic, complemented
154#4950C2211yescharacteristic, complemented
155#4949C2211yescharacteristic, complemented
156#4948C2211yescharacteristic, complemented
157#4947C2211yescharacteristic, complemented
158#4946C2211yescharacteristic, complemented
159#4944C2211yescharacteristic, complemented
160Dic3×C22⋊C4C2211yescharacteristic, complemented
161#4940C2211yescharacteristic, complemented
162#4939C2211yescharacteristic, complemented
163C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
164#4929C2211yescharacteristic, complemented
165#4928C2211yescharacteristic, complemented
166#4677C2211yescharacteristic, complemented
167#4675C2211yescharacteristic, complemented
168#4675C2211yescharacteristic, complemented
169#4675C2211yescharacteristic, complemented
170#4674C2211yescharacteristic, complemented
171#4674C2211yescharacteristic, complemented
172#4673C2211yescharacteristic, complemented
173#4672C2211yescharacteristic, complemented
174#4672C2211yescharacteristic, complemented
175#4671C2211yescharacteristic, complemented
176#4670C2211yescharacteristic, complemented
177#4670C2211yescharacteristic, complemented
178#4668C2211yescharacteristic, complemented
179#4667C2211yescharacteristic, complemented
180#4667C2211yescharacteristic, complemented
181#4666C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183#4665C2211yescharacteristic, complemented
184#4665C2211yescharacteristic, complemented
185#4665C2211yescharacteristic, complemented
186#4665C2211yescharacteristic, complemented
187#4656C2211yescharacteristic, complemented
188#4656C2211yescharacteristic, complemented
189#4655C2211yescharacteristic, complemented
190C2×H(3,𝔽4)—31no—
191C2×#534—31no—
192#2717—31no—
193#2710—31no—
194#2710—31no—
195#2697—31no—
196#2684—31no—
197#2684—31no—
198#2676—31no—
199#2676—31no—
200#2672—31no—
201#2672—31no—
202#2668—31no—
203#2668—31no—
204#2617—31no—
205#2617—31no—
206#2557—31no—
207#2557—31no—
208#2555—31no—
209#2555—31no—
210#2472—31no—
211#2472D311yescharacteristic, complemented
212#2435—31no—
213#2427—31no—
214#2427—31no—
215#2410—31no—
216#2410—31no—
217#2408—31no—
218#2408—31no—
219#2403—31no—
220#2358—31no—
221C25×C3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C24×D3C2311yescharacteristic
225C22×C3×Q8C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C22×#67—24no—
232C22×#67—24no—
233C22×#67—42no—
234C22×#67—42no—
235C22×#67—42no—
236C22×#67—42no—
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
251C23×Dic3C2311yescharacteristic
252C23×Dic3C2311yescharacteristic
253C2×D3×D4—42no—
254C2×D3×D4—42no—
255C2×D3×D4—42no—
256C22×D12C2311yescharacteristic
257C22×D12C2311yescharacteristic
258C22×D12C2311yescharacteristic
259C22×D12C2311yescharacteristic
260C22×D12C2311yescharacteristic
261C22×D12C2311yescharacteristic
262C22×D12C2311yescharacteristic
263C22×C4×D3C2311yescharacteristic
264C22×C4×D3C2311yescharacteristic
265C22×C4×D3C2311yescharacteristic
266C22×C4×D3C2311yescharacteristic
267C22×C4×D3C2311yescharacteristic
268C22×Dic6C2311yescharacteristic
269C22×Dic6C2311yescharacteristic
270C3×#124—24no—
271C3×C22⋊Q8—42no—
272C3×#120—42no—
273C2×C3×C4⋊C4C2311yescharacteristic
274C2×C3×C4⋊C4C2311yescharacteristic
275C2×C3×C4⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4—24no—
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×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×C3×C42C2311yescharacteristic
295C2×C3×C42C2311yescharacteristic
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
310#947—24no—
311#947—24no—
312#938—42no—
313#938—42no—
314#937—24no—
315#937—24no—
316#937—42no—
317#930—24no—
318#930—24no—
319#930—24no—
320#930—24no—
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×(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×C4⋊Dic3C2311yescharacteristic
358C2×C4⋊Dic3C2311yescharacteristic
359C2×C4⋊Dic3C2311yescharacteristic
360C2×C4⋊Dic3C2311yescharacteristic
361C2×C4⋊Dic3C2311yescharacteristic
362C2×C4⋊Dic3C2311yescharacteristic
363C2×C4⋊Dic3C2311yescharacteristic
364C2×C4⋊Dic3C2311yescharacteristic
365#924—42no—
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×C4×Dic3C2311yescharacteristic
373C2×C4×Dic3C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375C2×C4×Dic3C2311yescharacteristic
376#895—42no—
377#893—42no—
378#886—24no—
379#886—24no—
380#886—24no—
381#886—24no—
382#885—24no—
383#885—24no—
384#885—24no—
385#885—24no—
386#885—42no—
387#884—42no—
388#884—42no—
389#884—42no—
390#882—24no—
391#882—24no—
392#882—24no—
393#882—24no—
394#882—24no—
395#882—24no—
396#882D418yescomplemented
397D3×C22⋊C4—42no—
398D3×C22⋊C4—42no—
399#878—42no—
400#875—24no—
401#875—24no—
402C4×D12—42no—
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
429C23×D4—31no—
430C23×D4—31no—
431C23×D4—31no—
432H(3,𝔽4)—68no—
433#534—68no—
434C2×#124—31no—
435C2×#124—31no—
436C2×#124—31no—
437C2×#124—31no—
438C2×#124—31no—
439C2×#124—31no—
440C2×#124—31no—
441C2×#124—31no—
442C2×#124—31no—
443C2×#124C2×D311yescharacteristic, complemented
444C2×#123—31no—
445C2×#123—31no—
446C2×#123—31no—
447C2×#123—31no—
448C2×C22⋊Q8—31no—
449C2×C22⋊Q8—31no—
450C2×C22⋊Q8C2×D311yescharacteristic, complemented
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×#121—31no—
461C2×#120—31no—
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×#120—31no—
472C2×#120C2×D311yescharacteristic
473C2×C4×D4—31no—
474C2×C4×D4—31no—
475C22×C22⋊C4—31no—
476C22×C22⋊C4—31no—
477C22×C22⋊C4C2×D311yescharacteristic, complemented
478#399—31no—
479#399—31no—
480#397—31no—
481#397—31no—
482#397—31no—
483#397—31no—
484#397—31no—
485#397—31no—
486#397—31no—
487#397—31no—
488#397—31no—
489#397C2×D311yescharacteristic, complemented
490#396—31no—
491#396—31no—
492#395—31no—
493#395—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#394—31no—
505#394—31no—
506#394—31no—
507#394—31no—
508#394—31no—
509#394—31no—
510#394C2×D311yescharacteristic, complemented
511#394C2×D311yescharacteristic, complemented
512#393—31no—
513#393—31no—
514#393—31no—
515#393C2×D311yescharacteristic, complemented
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#392—31no—
525#392—31no—
526#391—31no—
527#391—31no—
528#390—31no—
529#390—31no—
530#390—31no—
531#390—31no—
532#390—31no—
533#390C2×D311yescharacteristic, complemented
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#388C2×D311yescharacteristic, complemented
543#388C2×D311yescharacteristic, complemented
544#387—31no—
545#387—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#386—31no—
560#386—31no—
561#386—31no—
562#386—31no—
563#386—31no—
564#386C2×D311yescharacteristic, complemented
565#386C2×D311yescharacteristic, complemented
566#385—31no—
567#385—31no—
568#385—31no—
569#385—31no—
570#380—31no—
571#380—31no—
572#380—31no—
573#380—31no—
574#379—31no—
575#379—31no—
576#379—31no—
577#379—31no—
578#379—31no—
579#379—31no—
580#379C2×D311yescharacteristic, complemented
581C4×C22⋊C4—31no—
582C4×C22⋊C4—31no—
583C4×C22⋊C4—31no—
584C4×C22⋊C4—31no—
585C4×C22⋊C4C2×D311yescharacteristic, complemented
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
597C23×D3—22no—
598C23×D3—22no—
599C23×D3—22no—
600C23×D3—41no—
601C23×D3—41no—
602C23×D3—41no—
603C23×D3—41no—
604C23×D3—41no—
605C23×D3—41no—
606C23×D3—41no—
607C23×D3—41no—
608C23×D3—41no—
609C23×D3—41no—
610C23×D3—41no—
611C23×D3—41no—
612C23×D3—41no—
613C23×D3—41no—
614C23×D3—41no—
615C23×D3—41no—
616C23×D3—41no—
617C23×D3C2×D414yescomplemented
618C23×D3C2411yescharacteristic
619C23×D3C2411yescharacteristic
620C23×D3C2411yescharacteristic
621C23×D3C2411yescharacteristic
622C23×D3C2411yescharacteristic
623C2×C3×Q8—22no—
624C2×C3×Q8—41no—
625C2×C3×Q8—41no—
626C2×C3×D4—22no—
627C2×C3×D4—22no—
628C2×C3×D4—22no—
629C2×C3×D4—22no—
630C2×C3×D4—41no—
631C2×C3×D4—41no—
632C2×C3×D4—41no—
633C2×C3×D4—41no—
634C2×C3×D4—41no—
635C22×C3×C4—22no—
636C22×C3×C4—22no—
637C22×C3×C4—41no—
638C22×C3×C4—41no—
639C22×C3×C4—41no—
640C22×C3×C4—41no—
641C22×C3×C4C2411yescharacteristic
642C22×C3×C4C2411yescharacteristic
643C22×C3×C4C2411yescharacteristic
644C22×C3×C4C2411yescharacteristic
645C22×C3×C4C2411yescharacteristic
646C22×C3×C4C2411yescharacteristic
647C22×C3×C4C2411yescharacteristic
648C22×C3×C4C2411yescharacteristic
649C22×C3×C4C2411yescharacteristic
650C22×C3×C4C2411yescharacteristic
651C22×C3×C4C2411yescharacteristic
652C2×#67—22no—
653C2×#67—22no—
654C2×#67—22no—
655C2×#67—22no—
656C2×#67—22no—
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—41no—
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—416no—
694C2×#67—416no—
695C2×#67C2×D414yes—
696C22×Dic3—22no—
697C22×Dic3—22no—
698C22×Dic3—22no—
699C22×Dic3—41no—
700C22×Dic3—41no—
701C22×Dic3—41no—
702C22×Dic3C2411yescharacteristic
703C22×Dic3C2411yescharacteristic
704C22×Dic3C2411yescharacteristic
705C22×Dic3C2411yescharacteristic
706C22×Dic3C2411yescharacteristic
707C22×Dic3C2411yescharacteristic
708C22×Dic3C2411yescharacteristic
709C22×Dic3C2411yescharacteristic
710C22×Dic3C2411yescharacteristic
711C22×Dic3C2411yescharacteristic
712C22×Dic3C2411yescharacteristic
713D3×D4—416no—
714C2×D12—22no—
715C2×D12—22no—
716C2×D12—22no—
717C2×D12—22no—
718C2×D12—22no—
719C2×D12—41no—
720C2×D12—41no—
721C2×D12—41no—
722C2×D12—41no—
723C2×D12—41no—
724C2×D12—41no—
725C2×D12—41no—
726C2×D12—41no—
727C2×D12—41no—
728C2×D12—41no—
729C2×D12—41no—
730C2×D12—41no—
731C2×D12—41no—
732C2×D12—41no—
733C2×D12C2×D414yes—
734C2×D12C2×D414yes—
735C2×C4×D3—22no—
736C2×C4×D3—22no—
737C2×C4×D3—22no—
738C2×C4×D3—22no—
739C2×C4×D3—41no—
740C2×C4×D3—41no—
741C2×C4×D3—41no—
742C2×C4×D3—41no—
743C2×C4×D3—41no—
744C2×C4×D3—41no—
745C2×C4×D3—41no—
746C2×C4×D3—41no—
747C2×C4×D3—41no—
748C2×C4×D3—41no—
749C2×C4×D3—41no—
750C2×Dic6—22no—
751C2×Dic6—22no—
752C2×Dic6—41no—
753C2×Dic6—41no—
754C2×Dic6—41no—
755C2×Dic6—41no—
756C3×C4⋊C4—22no—
757C3×C4⋊C4—22no—
758C3×C4⋊C4—41no—
759C3×C22⋊C4—22no—
760C3×C22⋊C4—22no—
761C3×C22⋊C4—22no—
762C3×C22⋊C4—22no—
763C3×C22⋊C4—22no—
764C3×C22⋊C4—22no—
765C3×C22⋊C4—22no—
766C3×C22⋊C4—22no—
767C3×C22⋊C4—22no—
768C3×C22⋊C4—22no—
769C3×C22⋊C4—41no—
770C3×C22⋊C4—41no—
771C3×C22⋊C4—41no—
772C3×C22⋊C4—41no—
773C3×C22⋊C4—41no—
774C3×C22⋊C4—41no—
775C3×C22⋊C4C2×D414yescomplemented
776C3×C42—22no—
777C3×C42—41no—
778#217—22no—
779#217—22no—
780#217—22no—
781#217—22no—
782#217—22no—
783#217—22no—
784#217—41no—
785#217—41no—
786#217—41no—
787#217—41no—
788#217—41no—
789#217—41no—
790#217—41no—
791(C2×D3)⋊C4—22no—
792(C2×D3)⋊C4—22no—
793(C2×D3)⋊C4—22no—
794(C2×D3)⋊C4—22no—
795(C2×D3)⋊C4—22no—
796(C2×D3)⋊C4—22no—
797(C2×D3)⋊C4—22no—
798(C2×D3)⋊C4—22no—
799(C2×D3)⋊C4—22no—
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)⋊C4—41no—
819(C2×D3)⋊C4—41no—
820(C2×D3)⋊C4—41no—
821(C2×D3)⋊C4—41no—
822(C2×D3)⋊C4—41no—
823(C2×D3)⋊C4—41no—
824(C2×D3)⋊C4—41no—
825(C2×D3)⋊C4C2×D414yescomplemented
826(C2×D3)⋊C4C2×D414yescomplemented
827C4⋊Dic3—22no—
828C4⋊Dic3—22no—
829C4⋊Dic3—22no—
830C4⋊Dic3—22no—
831C4⋊Dic3—22no—
832C4⋊Dic3—41no—
833C4⋊Dic3—41no—
834C4⋊Dic3—41no—
835Dic3⋊C4—22no—
836Dic3⋊C4—41no—
837Dic3⋊C4—41no—
838Dic3⋊C4—41no—
839Dic3⋊C4—41no—
840Dic3⋊C4—41no—
841C4×Dic3—22no—
842C4×Dic3—22no—
843C4×Dic3—41no—
844C4×Dic3—41no—
845C25—31no—
846C25—31no—
847C25—31no—
848C25C22×D311yescharacteristic
849C22×Q8—31no—
850C22×Q8—31no—
851C22×Q8C22×D311yescharacteristic
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×D4—31no—
869C22×D4—31no—
870C22×D4—31no—
871C22×D4—31no—
872C22×D4—31no—
873C22×D4—64no—
874C22×D4—64no—
875C22×D4—122no—
876C22×D4—122no—
877C22×D4—122no—
878C22×D4—122no—
879C22×D4—122no—
880C22×D4—122no—
881C22×D4—122no—
882C22×D4C22×D311yescharacteristic
883C22×D4C22×D311yescharacteristic
884C22×D4C22×D311yescharacteristic
885C23×C4—31no—
886C23×C4—31no—
887C23×C4—31no—
888C23×C4—31no—
889C23×C4—31no—
890C23×C4—31no—
891C23×C4—31no—
892C23×C4C22×D311yescharacteristic
893C23×C4C22×D311yescharacteristic
894#124—24no—
895#124—64no—
896#124—64no—
897#124—64no—
898#124—64no—
899#124—64no—
900#124—64no—
901#124—64no—
902#124—64no—
903#124—122no—
904#123—64no—
905#123—64no—
906#123—64no—
907#123—64no—
908C22⋊Q8—42no—
909C22⋊Q8—122no—
910C22⋊Q8—122no—
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#120—38no—
922#120—42no—
923#120—64no—
924#120—64no—
925#120—64no—
926#120—64no—
927#120—64no—
928#120—64no—
929#120—64no—
930#120—64no—
931#120—122no—
932#120—122no—
933C4×D4—122no—
934C4×D4—122no—
935C2×C4⋊C4—31no—
936C2×C4⋊C4—31no—
937C2×C4⋊C4—31no—
938C2×C4⋊C4—31no—
939C2×C4⋊C4—31no—
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⋊C4C22×D311yescharacteristic
950C2×C4⋊C4C22×D311yescharacteristic
951C2×C4⋊C4C22×D311yescharacteristic
952C2×C22⋊C4—24no—
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—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—122no—
1003C2×C22⋊C4—122no—
1004C2×C22⋊C4C22×D311yescharacteristic
1005C2×C22⋊C4C22×D311yescharacteristic
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×C22⋊C4C22×D311yescharacteristic
1021C2×C42—31no—
1022C2×C42—31no—
1023C2×C42—31no—
1024C2×C42—31no—
1025C2×C42C22×D311yescharacteristic
1026C2×C42C22×D311yescharacteristic
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#95C22×D311yescharacteristic
1048#95C22×D311yescharacteristic
1049#95C22×D311yescharacteristic
1050#95C22×D311yescharacteristic
1051#95C22×D311yescharacteristic
1052#95C22×D311yescharacteristic
1053C23×C3—28no—
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—82no—
1080C23×C3—82no—
1081C23×C3—82no—
1082C23×C3—82no—
1083C23×C3—82no—
1084C23×C3—82no—
1085C23×C3C22×D412yes—
1086C23×C3H(5,𝔽2)12yes—
1087C23×C3H(5,𝔽2)12yes—
1088C23×C3C2511yescharacteristic
1089C22×D3—21no—
1090C22×D3—21no—
1091C22×D3—21no—
1092C22×D3—21no—
1093C22×D3—21no—
1094C22×D3—21no—
1095C22×D3—21no—
1096C22×D3—21no—
1097C22×D3—21no—
1098C22×D3—21no—
1099C22×D3—21no—
1100C22×D3—21no—
1101C22×D3—21no—
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—44no—
1122C22×D3—44no—
1123C22×D3—44no—
1124C22×D3—44no—
1125C22×D3—44no—
1126C22×D3—44no—
1127C22×D3—82no—
1128C22×D3—82no—
1129C22×D3—82no—
1130C22×D3—82no—
1131C22×D3—82no—
1132C22×D3—82no—
1133C22×D3—82no—
1134C22×D3—82no—
1135C22×D3—82no—
1136C22×D3—82no—
1137C22×D3—82no—
1138C22×D3—82no—
1139C22×D3—82no—
1140C22×D3—82no—
1141C22×D3—82no—
1142C22×D3C22×D412yes—
1143C22×D3C22×D412yes—
1144C22×D3C22×D412yes—
1145C3×Q8—82no—
1146C3×D4—44no—
1147C3×D4—82no—
1148C3×D4—82no—
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—21no—
1168C2×C3×C4—21no—
1169C2×C3×C4—21no—
1170C2×C3×C4—21no—
1171C2×C3×C4—21no—
1172C2×C3×C4—21no—
1173C2×C3×C4—21no—
1174C2×C3×C4—21no—
1175C2×C3×C4—21no—
1176C2×C3×C4—21no—
1177C2×C3×C4—21no—
1178C2×C3×C4—21no—
1179C2×C3×C4—82no—
1180C2×C3×C4—82no—
1181C2×C3×C4C22×D412yes—
1182C2×C3×C4C22×D412yes—
1183C2×C3×C4H(5,𝔽2)12yes—
1184#67—44no—
1185#67—44no—
1186#67—44no—
1187#67—44no—
1188#67—44no—
1189#67—44no—
1190#67—44no—
1191#67—44no—
1192#67—44no—
1193#67—44no—
1194#67—82no—
1195#67—82no—
1196#67—82no—
1197#67—82no—
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—21no—
1222C2×Dic3—21no—
1223C2×Dic3—21no—
1224C2×Dic3—21no—
1225C2×Dic3—21no—
1226C2×Dic3—21no—
1227C2×Dic3—21no—
1228C2×Dic3—21no—
1229C2×Dic3—44no—
1230C2×Dic3—44no—
1231C2×Dic3C22×D412yes—
1232C2×Dic3H(5,𝔽2)12yes—
1233D12—44no—
1234D12—44no—
1235D12—44no—
1236D12—82no—
1237D12—82no—
1238D12—82no—
1239D12—82no—
1240C4×D3—44no—
1241C4×D3—82no—
1242C4×D3—82no—
1243C4×D3—82no—
1244C4×D3—82no—
1245Dic6—82no—
1246Dic6—82no—
1247C24—22no—
1248C24—22no—
1249C24—22no—
1250C24—31no—
1251C24—31no—
1252C24—31no—
1253C24—34no—
1254C24—31no—
1255C24—31no—
1256C24—41no—
1257C24—41no—
1258C24—41no—
1259C24—41no—
1260C24—62no—
1261C24—62no—
1262C24—62no—
1263C24—121no—
1264C24—121no—
1265C24—121no—
1266C24—121no—
1267C24—121no—
1268C24—121no—
1269C24—121no—
1270C24—121no—
1271C24—121no—
1272C24—121no—
1273C24—121no—
1274C24—121no—
1275C24—121no—
1276C24—121no—
1277C24—121no—
1278C24—121no—
1279C24—121no—
1280C24C23×D311yescharacteristic
1281C24C23×D311yescharacteristic
1282C24C23×D311yescharacteristic
1283C24C23×D311yescharacteristic
1284C2×Q8—22no—
1285C2×Q8—41no—
1286C2×Q8—41no—
1287C2×Q8—62no—
1288C2×Q8—62no—
1289C2×Q8—121no—
1290C2×Q8—121no—
1291C2×Q8—121no—
1292C2×Q8—121no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—34no—
1298C2×D4—34no—
1299C2×D4—34no—
1300C2×D4—41no—
1301C2×D4—41no—
1302C2×D4—41no—
1303C2×D4—41no—
1304C2×D4—41no—
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—62no—
1321C2×D4—62no—
1322C2×D4—62no—
1323C2×D4—62no—
1324C2×D4—62no—
1325C2×D4—62no—
1326C2×D4—62no—
1327C2×D4—62no—
1328C2×D4—62no—
1329C2×D4—62no—
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—
1355C2×D4—121no—
1356C2×D4—121no—
1357C2×D4—121no—
1358C2×D4—121no—
1359C2×D4—121no—
1360C2×D4—121no—
1361C2×D4—121no—
1362C2×D4—121no—
1363C2×D4—121no—
1364C2×D4—121no—
1365C2×D4—1216no—
1366C2×D4—1216no—
1367C2×D4—1216no—
1368C22×C4—22no—
1369C22×C4—22no—
1370C22×C4—31no—
1371C22×C4—31no—
1372C22×C4—31no—
1373C22×C4—31no—
1374C22×C4—31no—
1375C22×C4—31no—
1376C22×C4—31no—
1377C22×C4—31no—
1378C22×C4—31no—
1379C22×C4—31no—
1380C22×C4—31no—
1381C22×C4—41no—
1382C22×C4—41no—
1383C22×C4—41no—
1384C22×C4—41no—
1385C22×C4—62no—
1386C22×C4—62no—
1387C22×C4—62no—
1388C22×C4—62no—
1389C22×C4—62no—
1390C22×C4—62no—
1391C22×C4—62no—
1392C22×C4—121no—
1393C22×C4—121no—
1394C22×C4—121no—
1395C22×C4—121no—
1396C22×C4—121no—
1397C22×C4—121no—
1398C22×C4—121no—
1399C22×C4—121no—
1400C22×C4—121no—
1401C22×C4—121no—
1402C22×C4—121no—
1403C22×C4—121no—
1404C22×C4—121no—
1405C22×C4—121no—
1406C22×C4C23×D311yescharacteristic
1407C22×C4C23×D311yescharacteristic
1408C22×C4C23×D311yescharacteristic
1409C22×C4C23×D311yescharacteristic
1410C22×C4C23×D311yescharacteristic
1411C22×C4C23×D311yescharacteristic
1412C22×C4C23×D311yescharacteristic
1413C22×C4C23×D311yescharacteristic
1414C22×C4C23×D311yescharacteristic
1415C22×C4C23×D311yescharacteristic
1416C22×C4C23×D311yescharacteristic
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—41no—
1420C4⋊C4—62no—
1421C4⋊C4—62no—
1422C4⋊C4—62no—
1423C4⋊C4—62no—
1424C4⋊C4—62no—
1425C4⋊C4—62no—
1426C4⋊C4—121no—
1427C4⋊C4—121no—
1428C4⋊C4—121no—
1429C4⋊C4—121no—
1430C4⋊C4—121no—
1431C4⋊C4—121no—
1432C4⋊C4—121no—
1433C4⋊C4—121no—
1434C22⋊C4—22no—
1435C22⋊C4—22no—
1436C22⋊C4—22no—
1437C22⋊C4—22no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—22no—
1443C22⋊C4—22no—
1444C22⋊C4—34no—
1445C22⋊C4—34no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
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—62no—
1471C22⋊C4—62no—
1472C22⋊C4—62no—
1473C22⋊C4—62no—
1474C22⋊C4—62no—
1475C22⋊C4—62no—
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⋊C4—121no—
1490C22⋊C4—121no—
1491C22⋊C4—121no—
1492C22⋊C4—121no—
1493C22⋊C4—121no—
1494C22⋊C4—121no—
1495C22⋊C4—121no—
1496C22⋊C4—121no—
1497C22⋊C4—121no—
1498C22⋊C4—121no—
1499C22⋊C4D3×D414yescomplemented
1500C42—22no—
1501C42—41no—
1502C42—62no—
1503C42—62no—
1504C42—121no—
1505C42—121no—
1506C22×C3—22no—
1507C22×C3—22no—
1508C22×C3—22no—
1509C22×C3—22no—
1510C22×C3—22no—
1511C22×C3—22no—
1512C22×C3—22no—
1513C22×C3—22no—
1514C22×C3—22no—
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—88no—
1535C22×C3C23×D411yescharacteristic
1536C22×C3C2×H(5,𝔽2)11yescharacteristic
1537C22×C3C2×H(5,𝔽2)11yescharacteristic
1538C22×C3C2×H(5,𝔽2)11yescharacteristic
1539C22×C3C2×H(5,𝔽2)11yescharacteristic
1540C22×C3#58511yescharacteristic
1541C22×C3#58511yescharacteristic
1542C2×D3—22no—
1543C2×D3—22no—
1544C2×D3—22no—
1545C2×D3—22no—
1546C2×D3—22no—
1547C2×D3—22no—
1548C2×D3—22no—
1549C2×D3—22no—
1550C2×D3—22no—
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—41no—
1568C2×D3—41no—
1569C2×D3—41no—
1570C2×D3—41no—
1571C2×D3—41no—
1572C2×D3—41no—
1573C2×D3—41no—
1574C2×D3—41no—
1575C2×D3—41no—
1576C2×D3—41no—
1577C2×D3—88no—
1578C2×D3—88no—
1579C2×D3—88no—
1580C3×C4—22no—
1581C3×C4—22no—
1582C3×C4—22no—
1583C3×C4—41no—
1584C3×C4—41no—
1585C3×C4—41no—
1586C3×C4—41no—
1587C3×C4—41no—
1588C3×C4—41no—
1589C3×C4—41no—
1590C3×C4—41no—
1591Dic3—22no—
1592Dic3—22no—
1593Dic3—41no—
1594Dic3—41no—
1595Dic3—41no—
1596Dic3—41no—
1597Dic3—41no—
1598Dic3—41no—
1599Dic3—41no—
1600Dic3—41no—
1601Dic3—41no—
1602C23—28no—
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—32no—
1629C23—32no—
1630C23—32no—
1631C23—61no—
1632C23—61no—
1633C23—61no—
1634C23—61no—
1635C23—61no—
1636C23—61no—
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—61no—
1658C23—61no—
1659C23—61no—
1660C23—61no—
1661C23—61no—
1662C23—61no—
1663C23—82no—
1664C23—82no—
1665C23—82no—
1666C23—82no—
1667C23—82no—
1668C23—82no—
1669C23—124no—
1670C23—124no—
1671C23—124no—
1672C23—124no—
1673C23—124no—
1674C23—124no—
1675C23—242no—
1676C23—242no—
1677C23—242no—
1678C23—242no—
1679C23—242no—
1680C23—242no—
1681C23—242no—
1682C23—242no—
1683C23—242no—
1684C23—242no—
1685C23—242no—
1686C23—242no—
1687C23—242no—
1688C23—242no—
1689C23—242no—
1690C23C2×D3×D412yes—
1691C23#100912yes—
1692C23#100912yes—
1693C23C24×D311yescharacteristic
1694Q8—82no—
1695Q8—242no—
1696Q8—242no—
1697D4—44no—
1698D4—82no—
1699D4—82no—
1700D4—124no—
1701D4—124no—
1702D4—124no—
1703D4—124no—
1704D4—124no—
1705D4—124no—
1706D4—124no—
1707D4—124no—
1708D4—124no—
1709D4—124no—
1710D4—124no—
1711D4—124no—
1712D4—124no—
1713D4—242no—
1714D4—242no—
1715D4—242no—
1716D4—242no—
1717D4—242no—
1718D4—242no—
1719D4—242no—
1720D4—242no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—32no—
1752C2×C4—32no—
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—61no—
1765C2×C4—61no—
1766C2×C4—61no—
1767C2×C4—61no—
1768C2×C4—61no—
1769C2×C4—61no—
1770C2×C4—61no—
1771C2×C4—61no—
1772C2×C4—61no—
1773C2×C4—61no—
1774C2×C4—61no—
1775C2×C4—61no—
1776C2×C4—61no—
1777C2×C4—61no—
1778C2×C4—61no—
1779C2×C4—61no—
1780C2×C4—61no—
1781C2×C4—61no—
1782C2×C4—61no—
1783C2×C4—61no—
1784C2×C4—82no—
1785C2×C4—82no—
1786C2×C4—124no—
1787C2×C4—124no—
1788C2×C4—124no—
1789C2×C4—242no—
1790C2×C4—242no—
1791C2×C4—242no—
1792C2×C4—242no—
1793C2×C4C2×D3×D412yes—
1794C2×C4C2×D3×D412yes—
1795C2×C4#100412yes—
1796C2×C3—42no—
1797C2×C3—42no—
1798C2×C3—42no—
1799C2×C3—81no—
1800C2×C3#348411yescharacteristic
1801C2×C3#349611yescharacteristic
1802C2×C3#349611yescharacteristic
1803C2×C3#353211yescharacteristic
1804C2×C3#354511yescharacteristic
1805C2×C3#355811yescharacteristic
1806C2×C3#355811yescharacteristic
1807D3—42no—
1808D3—42no—
1809D3—42no—
1810D3—81no—
1811D3—81no—
1812C22—22no—
1813C22—22no—
1814C22—22no—
1815C22—22no—
1816C22—22no—
1817C22—22no—
1818C22—22no—
1819C22—22no—
1820C22—22no—
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—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—62no—
1841C22—62no—
1842C22—62no—
1843C22—62no—
1844C22—62no—
1845C22—62no—
1846C22—62no—
1847C22—62no—
1848C22—62no—
1849C22—88no—
1850C22—121no—
1851C22—121no—
1852C22—121no—
1853C22—121no—
1854C22—121no—
1855C22—121no—
1856C22—121no—
1857C22—121no—
1858C22—121no—
1859C22—121no—
1860C22—121no—
1861C22—121no—
1862C22—121no—
1863C22—121no—
1864C22—121no—
1865C22—121no—
1866C22—121no—
1867C22—121no—
1868C22—121no—
1869C22—121no—
1870C22—121no—
1871C22—121no—
1872C22—121no—
1873C22—121no—
1874C22—121no—
1875C22—121no—
1876C22—248no—
1877C22—248no—
1878C22—248no—
1879C22C22×D3×D411yescharacteristic
1880C22C2×#100411yescharacteristic
1881C22C2×#100911yescharacteristic
1882C22C2×#100911yescharacteristic
1883C22#596411yescharacteristic
1884C22D3×H(5,𝔽2)11yescharacteristic
1885C22#596611yescharacteristic
1886C4—22no—
1887C4—22no—
1888C4—22no—
1889C4—41no—
1890C4—41no—
1891C4—41no—
1892C4—41no—
1893C4—41no—
1894C4—41no—
1895C4—41no—
1896C4—41no—
1897C4—62no—
1898C4—62no—
1899C4—121no—
1900C4—121no—
1901C4—121no—
1902C4—121no—
1903C4—121no—
1904C4—121no—
1905C4—121no—
1906C4—121no—
1907C4—121no—
1908C3#4784811yescharacteristic, complemented, Sylow
1909C2—42no—
1910C2—42no—
1911C2—42no—
1912C2—81no—
1913C2—122no—
1914C2—122no—
1915C2—122no—
1916C2—241no—
1917C2—241no—
1918C2#8603911yescharacteristic
1919C2#8608011yescharacteristic
1920C2#8640311yescharacteristic
1921C2#8662111yescharacteristic
1922C2#8666511yescharacteristic
1923C2#8666711yescharacteristic
1924C2#8680611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2472C2
hypercenter#2472D3
hypocenterC3#47848
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2472

Complements

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

NH ≅ G/Ntype
1. C2×#5683C2semidirect
2. C2×#5493C2semidirect
3. C3×#2472C2semidirect
4. #82986C2semidirect
5. #82827C2semidirect
6. #82756C2semidirect
7. #82605C2semidirect
8. #82604C2semidirect
9. #82111C2semidirect
10. #77684C2semidirect
11. #77589C2semidirect
12. #77146C2semidirect
13. #77123C2semidirect
14. #77001C2semidirect
15. #76895C2semidirect
16. #76876C2semidirect
17. #76797C2semidirect
18. #76436C2semidirect
19. #76357C2semidirect
20. #75917C2semidirect
21. #75836C2semidirect
22. #75690C2semidirect
23. #75665C2semidirect
24. #74916C2semidirect
25. #74911C2semidirect
26. #74910C2semidirect
27. #74756C2semidirect
28. #73854C2semidirect
29. #73827C2semidirect
30. #73600C2semidirect
31. #73486C2semidirect
34. C23×#67C22semidirect
35. C22×D3×D4C22semidirect
36. C2×C3×#124C22semidirect
37. C2×C3×C22⋊Q8C22semidirect
39. C22×C3×C22⋊C4C22semidirect
41. C2×#947C22semidirect
42. C2×#947C22semidirect
44. C2×#938C22semidirect
46. C2×#937C22semidirect
47. C2×#937C22semidirect
50. C2×#930C22semidirect
51. C2×#930C22semidirect
52. C2×#924C22semidirect
54. C2×#895C22semidirect
55. C2×#893C22semidirect
58. C2×#886C22semidirect
59. C2×#886C22semidirect
60. C2×#886C22semidirect
62. C2×#885C22semidirect
63. C2×#885C22semidirect
64. C2×#885C22semidirect
65. C2×#885C22semidirect
67. C2×#884C22semidirect
68. C2×#884C22semidirect
72. C2×#882C22semidirect
73. C2×#882C22semidirect
74. C2×#882C22semidirect
75. C2×#882C22semidirect
76. C2×D3×C22⋊C4C22semidirect
77. C2×D3×C22⋊C4C22semidirect
78. C2×#878C22semidirect
79. C2×#875C22semidirect
80. C2×#875C22semidirect
81. C2×C4×D12C22semidirect
82. C3×#397C22semidirect
83. C3×#394C22semidirect
84. C3×#394C22semidirect
85. C3×#393C22semidirect
86. C3×#390C22semidirect
87. C3×#388C22semidirect
88. C3×#388C22semidirect
89. C3×#386C22semidirect
90. C3×#386C22semidirect
91. C3×#379C22semidirect
92. C3×C4×C22⋊C4C22semidirect
93. #5247C22semidirect
94. #5231C22semidirect
95. #5229C22semidirect
98. #5223C22semidirect
99. #5223C22semidirect
100. #5220C22semidirect
101. #5220C22semidirect
102. #5213C22semidirect
103. #5213C22semidirect
104. C4×#217C22semidirect
105. #4994C22semidirect
106. #4992C22semidirect
107. #4992C22semidirect
108. #4991C22semidirect
109. #4991C22semidirect
110. #4989C22semidirect
111. #4987C22semidirect
112. #4987C22semidirect
113. #4984C22semidirect
114. #4980C22semidirect
115. #4961C22semidirect
116. #4961C22semidirect
117. #4961C22semidirect
118. #4961C22semidirect
119. #4961C22semidirect
120. #4961C22semidirect
121. #4961C22semidirect
124. #4960C22semidirect
125. #4960C22semidirect
126. #4960C22semidirect
127. #4959C22semidirect
128. #4959C22semidirect
129. #4959C22semidirect
130. #4959C22semidirect
131. #4959C22semidirect
132. #4958C22semidirect
133. #4958C22semidirect
135. #4957C22semidirect
136. #4957C22semidirect
137. #4957C22semidirect
139. #4956C22semidirect
140. #4956C22semidirect
141. #4956C22semidirect
142. #4956C22semidirect
143. #4956C22semidirect
144. #4956C22semidirect
145. #4955C22semidirect
146. #4955C22semidirect
147. #4955C22semidirect
148. #4955C22semidirect
149. #4955C22semidirect
150. #4953C22semidirect
151. #4952C22semidirect
152. #4951C22semidirect
153. #4951C22semidirect
154. #4950C22semidirect
155. #4949C22semidirect
156. #4948C22semidirect
157. #4947C22semidirect
158. #4946C22semidirect
159. #4944C22semidirect
160. Dic3×C22⋊C4C22semidirect
161. #4940C22semidirect
162. #4939C22semidirect
163. C4×(C2×D3)⋊C4C22semidirect
164. #4929C22semidirect
165. #4928C22semidirect
166. #4677C22semidirect
167. #4675C22semidirect
168. #4675C22semidirect
169. #4675C22semidirect
170. #4674C22semidirect
171. #4674C22semidirect
172. #4673C22semidirect
173. #4672C22semidirect
174. #4672C22semidirect
175. #4671C22semidirect
176. #4670C22semidirect
177. #4670C22semidirect
178. #4668C22semidirect
179. #4667C22semidirect
180. #4667C22semidirect
181. #4666C22semidirect
182. #4665C22semidirect
183. #4665C22semidirect
184. #4665C22semidirect
185. #4665C22semidirect
186. #4665C22semidirect
187. #4656C22semidirect
188. #4656C22semidirect
189. #4655C22semidirect
211. #2472D3semidirect
396. #882D4semidirect
443. C2×#124C2×D3semidirect
450. C2×C22⋊Q8C2×D3semidirect
477. C22×C22⋊C4C2×D3semidirect
489. #397C2×D3semidirect
510. #394C2×D3semidirect
511. #394C2×D3semidirect
515. #393C2×D3semidirect
533. #390C2×D3semidirect
542. #388C2×D3semidirect
543. #388C2×D3semidirect
564. #386C2×D3semidirect
565. #386C2×D3semidirect
580. #379C2×D3semidirect
585. C4×C22⋊C4C2×D3semidirect
617. C23×D3C2×D4semidirect
775. C3×C22⋊C4C2×D4semidirect
825. (C2×D3)⋊C4C2×D4semidirect
826. (C2×D3)⋊C4C2×D4semidirect
1499. C22⋊C4D3×D4semidirect
1908. C3#47848semidirect

Maximal subgroups

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

subgroupindex
C2×#56832
C2×#54932
C3×#24722
#829862
#828272
#827562
#826052
#826042
#821112
#776842
#775892
#771462
#771232
#770012
#768952
#768762
#767972
#764362
#763572
#759172
#758362
#756902
#756652
#749162
#749112
#749102
#747562
#738542
#738272
#736002
#734862
#478483