Finite Group Databasebeta

← #11025498

Subgroups — #11025498

Order 768.

3154 conjugacy classes of subgroups.

The subgroup lattice has 1948 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#930C211yesmaximal, characteristic, complemented
2C2×#5657C211yesmaximal, characteristic, complemented
3C3×#2849C211yesmaximal, characteristic, complemented
4C4×#953C211yesmaximal, characteristic, complemented
5#82907C211yesmaximal, characteristic, complemented
6#82873C211yesmaximal, characteristic, complemented
7#82867C211yesmaximal, characteristic, complemented
8#82605C211yesmaximal, characteristic, complemented
9#82604C211yesmaximal, characteristic, complemented
10#74910C211yesmaximal, characteristic, complemented
11#74894C211yesmaximal, characteristic, complemented
12#74884C211yesmaximal, characteristic, complemented
13#74878C211yesmaximal, characteristic, complemented
14#74823C211yesmaximal, characteristic, complemented
15#74756C211yesmaximal, characteristic, complemented
16#74737C211yesmaximal, characteristic, complemented
17#74727C211yesmaximal, characteristic, complemented
18#74639C211yesmaximal, characteristic, complemented
19#74599C211yesmaximal, characteristic, complemented
20#74596C211yesmaximal, characteristic, complemented
21#74509C211yesmaximal, characteristic, complemented
22#74476C211yesmaximal, characteristic, complemented
23#74452C211yesmaximal, characteristic, complemented
24#74427C211yesmaximal, characteristic, complemented
25#74422C211yesmaximal, characteristic, complemented
26#74139C211yesmaximal, characteristic, complemented
27#74138C211yesmaximal, characteristic, complemented
28#74137C211yesmaximal, characteristic, complemented
29#74058C211yesmaximal, characteristic, complemented
30#73827C211yesmaximal, characteristic, complemented
31#73824C211yesmaximal, characteristic, complemented
32#37720—31nomaximal, Sylow
33C24×C3×C4C2211yescharacteristic, complemented
34C23×#67C2211yescharacteristic
35C23×#67C2211yescharacteristic, complemented
36C22×D3×D4C2211yescharacteristic
37C23×D12C2211yescharacteristic
38C2×C3×#123C2211yescharacteristic, complemented
39C2×C3×#123C2211yescharacteristic, complemented
40C2×C3×#120C2211yescharacteristic
41C2×#953C2211yescharacteristic
42C2×#938C2211yescharacteristic, complemented
43C2×#938C2211yescharacteristic, complemented
44C2×#937C2211yescharacteristic
45C2×#937C2211yescharacteristic, complemented
46C2×#937C2211yescharacteristic, complemented
47C2×#930—28no—
48C2×#930C2211yescharacteristic
49C2×#930C2211yescharacteristic
50C2×#930C2211yescharacteristic
51C2×#930C2211yescharacteristic
52C2×#930C2211yescharacteristic, complemented
53C2×#930C2211yescharacteristic, complemented
54C2×#930C2211yescharacteristic, complemented
55C2×#930C2211yescharacteristic, complemented
56C2×C4×#67C2211yescharacteristic
57C2×C4×#67C2211yescharacteristic, complemented
58C2×C4×#67C2211yescharacteristic, complemented
59C22×(C2×D3)⋊C4C2211yescharacteristic
60C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
61C22×C4⋊Dic3C2211yescharacteristic, complemented
62#5657—28no—
63C2×#898C2211yescharacteristic, complemented
64C2×#897C2211yescharacteristic, complemented
65C2×#894C2211yescharacteristic, complemented
66C2×#894C2211yescharacteristic, complemented
67C2×#893C2211yescharacteristic, complemented
68C2×#885C2211yescharacteristic, complemented
69C2×#885C2211yescharacteristic, complemented
70C2×#885C2211yescharacteristic, complemented
71C2×#884C2211yescharacteristic, complemented
72C2×#884C2211yescharacteristic, complemented
73C2×#882C2211yescharacteristic
74C2×#882C2211yescharacteristic, complemented
75C2×#882C2211yescharacteristic, complemented
76C2×#67⋊C4C2211yescharacteristic
77C2×D3×C22⋊C4C2211yescharacteristic, complemented
78C2×D3×C22⋊C4C2211yescharacteristic, complemented
79C2×#879C2211yescharacteristic, complemented
80C2×#878C2211yescharacteristic, complemented
81C3×#386C2211yescharacteristic
82C3×#386C2211yescharacteristic
83C3×#386C2211yescharacteristic, complemented
84C3×#386C2211yescharacteristic, complemented
85C3×#385C2211yescharacteristic, complemented
86C3×#385C2211yescharacteristic, complemented
87C3×#385C2211yescharacteristic, complemented
88C3×#385C2211yescharacteristic, complemented
89C3×#381C2211yescharacteristic, complemented
90C3×#381C2211yescharacteristic, complemented
91C3×#379C2211yescharacteristic, complemented
92#5247C2211yescharacteristic, complemented
93#5223C2211yescharacteristic, complemented
94#5223C2211yescharacteristic, complemented
95#5223C2211yescharacteristic, complemented
96#5223C2211yescharacteristic, complemented
97#5220C2211yescharacteristic
98#5220C2211yescharacteristic
99#5213C2211yescharacteristic
100#5213C2211yescharacteristic, complemented
101#5213C2211yescharacteristic, complemented
102#5210C2211yescharacteristic, complemented
103#5210C2211yescharacteristic, complemented
104#5210C2211yescharacteristic, complemented
105C4×#217C2211yescharacteristic, complemented
106C4×#217C2211yescharacteristic, complemented
107C4×#217C2211yescharacteristic, complemented
108#4994C2211yescharacteristic, complemented
109#4994C2211yescharacteristic, complemented
110#4992C2211yescharacteristic, complemented
111#4991C2211yescharacteristic, complemented
112#4991C2211yescharacteristic, complemented
113#4990C2211yescharacteristic, complemented
114#4990C2211yescharacteristic, complemented
115#4989C2211yescharacteristic, complemented
116#4988C2211yescharacteristic, complemented
117#4984C2211yescharacteristic, complemented
118#4981C2211yescharacteristic, complemented
119#4961C2211yescharacteristic, complemented
120#4961C2211yescharacteristic, complemented
121#4961C2211yescharacteristic, complemented
122#4961C2211yescharacteristic, complemented
123#4961C2211yescharacteristic, complemented
124#4960C2211yescharacteristic, complemented
125#4960C2211yescharacteristic, complemented
126#4960C2211yescharacteristic, complemented
127#4960C2211yescharacteristic, complemented
128#4960C2211yescharacteristic, complemented
129#4960C2211yescharacteristic, complemented
130#4959C2211yescharacteristic, complemented
131#4959C2211yescharacteristic, complemented
132#4959C2211yescharacteristic, complemented
133#4959C2211yescharacteristic, complemented
134#4959C2211yescharacteristic, complemented
135#4958C2211yescharacteristic
136#4957C2211yescharacteristic, complemented
137#4957C2211yescharacteristic, complemented
138#4957C2211yescharacteristic, complemented
139#4957C2211yescharacteristic, complemented
140#4957C2211yescharacteristic, complemented
141#4957C2211yescharacteristic, complemented
142#4957C2211yescharacteristic, complemented
143#4956C2211yescharacteristic, complemented
144#4956C2211yescharacteristic, complemented
145#4956C2211yescharacteristic, complemented
146#4956C2211yescharacteristic, complemented
147#4955C2211yescharacteristic
148#4955C2211yescharacteristic
149#4955C2211yescharacteristic
150#4955C2211yescharacteristic, complemented
151#4955C2211yescharacteristic, complemented
152#4953C2211yescharacteristic, complemented
153#4951C2211yescharacteristic, complemented
154#4950C2211yescharacteristic, complemented
155#4948C2211yescharacteristic, complemented
156#4942C2211yescharacteristic, complemented
157Dic3×C22⋊C4C2211yescharacteristic, complemented
158#4677C2211yescharacteristic, complemented
159#4675C2211yescharacteristic, complemented
160#4675C2211yescharacteristic, complemented
161#4674C2211yescharacteristic, complemented
162#4673C2211yescharacteristic, complemented
163#4672C2211yescharacteristic, complemented
164#4672C2211yescharacteristic, complemented
165#4671C2211yescharacteristic, complemented
166#4671C2211yescharacteristic, complemented
167#4670C2211yescharacteristic, complemented
168#4670C2211yescharacteristic, complemented
169#4669C2211yescharacteristic, complemented
170#4669C2211yescharacteristic, complemented
171#4669C2211yescharacteristic, complemented
172#4668C2211yescharacteristic, complemented
173#4667C2211yescharacteristic, complemented
174#4666C2211yescharacteristic, complemented
175#4666C2211yescharacteristic, complemented
176#4665C2211yescharacteristic, complemented
177#4665C2211yescharacteristic, complemented
178#4665C2211yescharacteristic, complemented
179#4665C2211yescharacteristic, complemented
180#4665C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183#4665C2211yescharacteristic, complemented
184#4660C2211yescharacteristic, complemented
185#4659C2211yescharacteristic, complemented
186#4656C2211yescharacteristic, complemented
187#4655C2211yescharacteristic, complemented
188#4653C2211yescharacteristic, complemented
189#4653C2211yescharacteristic, complemented
190C2×#538—31no—
191C22×#121—31no—
192#2849D311yescharacteristic, complemented
193#2714—31no—
194#2708—31no—
195#2688—31no—
196#2686—31no—
197#2682—31no—
198#2678—31no—
199#2676—31no—
200#2668—31no—
201#2661—31no—
202#2635—31no—
203#2559—31no—
204#2555—31no—
205#2481—31no—
206#2480—31no—
207#2472—31no—
208#2456—31no—
209#2449—31no—
210#2435—31no—
211#2424—31no—
212#2410—31no—
213#2408—31no—
214#2405—31no—
215#2403—31no—
216#2403—31no—
217#2358—31no—
218D4×C22⋊C4—31no—
219#2333—31no—
220C4×#120—31no—
221C25×C3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C24×D3C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C23×C3×C4—24no—
229C23×C3×C4—42no—
230C23×C3×C4—42no—
231C23×C3×C4C2311yescharacteristic
232C23×C3×C4C2311yescharacteristic
233C23×C3×C4C2311yescharacteristic
234C23×C3×C4C2311yescharacteristic
235C23×C3×C4C2311yescharacteristic
236C23×C3×C4C2311yescharacteristic
237C22×#67—24no—
238C22×#67—24no—
239C22×#67—42no—
240C22×#67—42no—
241C22×#67—42no—
242C22×#67—42no—
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C22×#67C2311yescharacteristic
250C22×#67C2311yescharacteristic
251C22×#67C2311yescharacteristic
252C22×#67C2311yescharacteristic
253C22×#67C2311yescharacteristic
254C22×#67C2311yescharacteristic
255C22×#67C2311yescharacteristic
256C22×#67C2311yescharacteristic
257C23×Dic3C2311yescharacteristic
258C23×Dic3C2311yescharacteristic
259C2×D3×D4—24no—
260C2×D3×D4—42no—
261C2×D3×D4—42no—
262C22×D12—24no—
263C22×D12—42no—
264C22×D12—42no—
265C22×D12C2311yescharacteristic
266C22×D12C2311yescharacteristic
267C22×D12C2311yescharacteristic
268C22×D12C2311yescharacteristic
269C22×D12C2311yescharacteristic
270C22×D12C2311yescharacteristic
271C22×D12C2311yescharacteristic
272C22×C4×D3C2311yescharacteristic
273C22×C4×D3C2311yescharacteristic
274C22×C4×D3C2311yescharacteristic
275C22×C4×D3C2311yescharacteristic
276C22×C4×D3C2311yescharacteristic
277C22×Dic6C2311yescharacteristic
278C3×#123—24no—
279C3×#123—42no—
280C3×#120—42no—
281C2×C3×C4⋊C4C2311yescharacteristic
282C2×C3×C4⋊C4C2311yescharacteristic
283C2×C3×C4⋊C4C2311yescharacteristic
284C2×C3×C4⋊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×C22⋊C4C2311yescharacteristic
295C2×C3×C22⋊C4C2311yescharacteristic
296C2×C3×C22⋊C4C2311yescharacteristic
297C2×C3×C22⋊C4C2311yescharacteristic
298#953—24no—
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312#938—24no—
313#938—42no—
314#937—24no—
315#937—42no—
316#937—42no—
317#930—24no—
318#930—24no—
319#930—24no—
320#930—24no—
321#930—24no—
322#930—24no—
323#930—24no—
324#930D418yescomplemented
325C4×#67—24no—
326C4×#67—42no—
327C4×#67—42no—
328C2×(C2×D3)⋊C4—24no—
329C2×(C2×D3)⋊C4—24no—
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×(C2×D3)⋊C4C2311yescharacteristic
358C2×(C2×D3)⋊C4C2311yescharacteristic
359C2×(C2×D3)⋊C4C2311yescharacteristic
360C2×(C2×D3)⋊C4C2311yescharacteristic
361C2×(C2×D3)⋊C4C2311yescharacteristic
362C2×(C2×D3)⋊C4C2311yescharacteristic
363C2×(C2×D3)⋊C4C2311yescharacteristic
364C2×(C2×D3)⋊C4C2311yescharacteristic
365C2×(C2×D3)⋊C4C2311yescharacteristic
366C2×C4⋊Dic3—24no—
367C2×C4⋊Dic3C2311yescharacteristic
368C2×C4⋊Dic3C2311yescharacteristic
369C2×C4⋊Dic3C2311yescharacteristic
370C2×C4⋊Dic3C2311yescharacteristic
371C2×C4⋊Dic3C2311yescharacteristic
372C2×C4⋊Dic3C2311yescharacteristic
373C2×C4⋊Dic3C2311yescharacteristic
374C2×Dic3⋊C4C2311yescharacteristic
375C2×Dic3⋊C4C2311yescharacteristic
376C2×Dic3⋊C4C2311yescharacteristic
377C2×Dic3⋊C4C2311yescharacteristic
378C2×Dic3⋊C4C2311yescharacteristic
379C2×Dic3⋊C4C2311yescharacteristic
380C2×Dic3⋊C4C2311yescharacteristic
381C2×Dic3⋊C4C2311yescharacteristic
382C2×C4×Dic3C2311yescharacteristic
383C2×C4×Dic3C2311yescharacteristic
384C2×C4×Dic3C2311yescharacteristic
385C2×C4×Dic3C2311yescharacteristic
386C2×C4×Dic3C2311yescharacteristic
387C2×C4×Dic3C2311yescharacteristic
388#898—24no—
389#897—24no—
390#894—24no—
391#894—42no—
392#893—24no—
393#885—24no—
394#885—24no—
395#885—42no—
396#884—24no—
397#884—42no—
398#882—24no—
399#882—24no—
400#882—42no—
401#67⋊C4—42no—
402D3×C22⋊C4—24no—
403D3×C22⋊C4—42no—
404#879—24no—
405#878—42no—
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
429C3⋊#95C2311yescharacteristic
430C3⋊#95C2311yescharacteristic
431C3⋊#95C2311yescharacteristic
432C23×D4—31no—
433C23×D4—31no—
434C23×D4—31no—
435C23×D4—31no—
436C24×C4C2×D311yescharacteristic, complemented
437#538—68no—
438C2×#126—31no—
439C2×#126—31no—
440C2×#124—31no—
441C2×#124—31no—
442C2×#124—31no—
443C2×#123—31no—
444C2×#123—31no—
445C2×#123C2×D311yescharacteristic, complemented
446C2×#123C2×D311yescharacteristic, complemented
447C2×C22⋊Q8—31no—
448C2×C22⋊Q8—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121—31no—
455C2×#121—31no—
456C2×#121—31no—
457C2×#121—31no—
458C2×#121—31no—
459C2×#121—31no—
460C2×#121—31no—
461C2×#121—68no—
462C2×#120—31no—
463C2×#120—31no—
464C2×#120—31no—
465C2×#120—31no—
466C2×#120—31no—
467C2×#120—31no—
468C2×#120—31no—
469C2×#120C2×D311yescharacteristic
470C2×C4×D4—31no—
471C2×C4×D4—31no—
472C2×C4×D4—31no—
473C2×C4×D4—31no—
474C2×C4×D4—31no—
475C22×C4⋊C4—31no—
476C22×C22⋊C4—31no—
477C22×C22⋊C4—31no—
478C22×C22⋊C4—31no—
479C22×C22⋊C4—31no—
480#400—31no—
481#400—31no—
482#399—31no—
483#398—31no—
484#397—31no—
485#397—31no—
486#397—31no—
487#397—31no—
488#397—31no—
489#396—31no—
490#396—31no—
491#396—31no—
492#395—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#394—31no—
505#394—31no—
506#394—31no—
507#393—31no—
508#392—31no—
509#392—31no—
510#392—31no—
511#392—31no—
512#392—31no—
513#392—31no—
514#392—31no—
515#392—31no—
516#392—31no—
517#392—31no—
518#392—31no—
519#392—31no—
520#390—31no—
521#390—31no—
522#390—31no—
523#390—31no—
524#390—31no—
525#390—31no—
526#390—31no—
527#390—31no—
528#389—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#388—31no—
535#388—31no—
536#388—31no—
537#387—31no—
538#387—31no—
539#387—31no—
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#386C2×D311yescharacteristic
559#386C2×D311yescharacteristic
560#386C2×D311yescharacteristic, complemented
561#386C2×D311yescharacteristic, complemented
562#385—31no—
563#385—31no—
564#385—31no—
565#385—31no—
566#385—31no—
567#385—31no—
568#385C2×D311yescharacteristic, complemented
569#385C2×D311yescharacteristic, complemented
570#385C2×D311yescharacteristic, complemented
571#385C2×D311yescharacteristic, complemented
572#381C2×D311yescharacteristic, complemented
573#381C2×D311yescharacteristic, complemented
574#380—31no—
575#380—31no—
576#379—31no—
577#379—31no—
578#379—31no—
579#379—31no—
580#379—31no—
581#379—31no—
582#379C2×D311yescharacteristic, complemented
583C4×C22⋊C4—31no—
584C4×C22⋊C4—31no—
585C4×C22⋊C4—31no—
586C4×C22⋊C4—31no—
587C4×C22⋊C4—31no—
588C4×C22⋊C4—31no—
589C24×C3—22no—
590C24×C3—22no—
591C24×C3—22no—
592C24×C3—22no—
593C24×C3—22no—
594C24×C3—41no—
595C24×C3—41no—
596C24×C3C2411yescharacteristic
597C24×C3C2411yescharacteristic
598C24×C3C2411yescharacteristic
599C24×C3C2411yescharacteristic
600C23×D3—22no—
601C23×D3—22no—
602C23×D3—22no—
603C23×D3—22no—
604C23×D3—22no—
605C23×D3—22no—
606C23×D3—22no—
607C23×D3—22no—
608C23×D3—22no—
609C23×D3—22no—
610C23×D3—41no—
611C23×D3—41no—
612C23×D3—41no—
613C23×D3—41no—
614C23×D3—41no—
615C23×D3—41no—
616C23×D3—41no—
617C23×D3—41no—
618C23×D3—41no—
619C23×D3—41no—
620C23×D3—41no—
621C23×D3C2411yescharacteristic
622C23×D3C2411yescharacteristic
623C23×D3C2411yescharacteristic
624C23×D3C2411yescharacteristic
625C23×D3C2411yescharacteristic
626C2×C3×D4—22no—
627C2×C3×D4—22no—
628C2×C3×D4—22no—
629C2×C3×D4—22no—
630C2×C3×D4—22no—
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—22no—
638C22×C3×C4—22no—
639C22×C3×C4—22no—
640C22×C3×C4—22no—
641C22×C3×C4—22no—
642C22×C3×C4—22no—
643C22×C3×C4—22no—
644C22×C3×C4—22no—
645C22×C3×C4—41no—
646C22×C3×C4—41no—
647C22×C3×C4—41no—
648C22×C3×C4—41no—
649C22×C3×C4—41no—
650C22×C3×C4—41no—
651C22×C3×C4—41no—
652C22×C3×C4—416no—
653C22×C3×C4C2×D414yescomplemented
654C22×C3×C4C2411yescharacteristic
655C22×C3×C4C2411yescharacteristic
656C22×C3×C4C2411yescharacteristic
657C22×C3×C4C2411yescharacteristic
658C22×C3×C4C2411yescharacteristic
659C22×C3×C4C2411yescharacteristic
660C22×C3×C4C2411yescharacteristic
661C22×C3×C4C2411yescharacteristic
662C22×C3×C4C2411yescharacteristic
663C22×C3×C4C2411yescharacteristic
664C22×C3×C4C2411yescharacteristic
665C2×#67—22no—
666C2×#67—22no—
667C2×#67—22no—
668C2×#67—22no—
669C2×#67—22no—
670C2×#67—22no—
671C2×#67—22no—
672C2×#67—22no—
673C2×#67—22no—
674C2×#67—22no—
675C2×#67—22no—
676C2×#67—22no—
677C2×#67—22no—
678C2×#67—22no—
679C2×#67—22no—
680C2×#67—22no—
681C2×#67—22no—
682C2×#67—22no—
683C2×#67—41no—
684C2×#67—41no—
685C2×#67—41no—
686C2×#67—41no—
687C2×#67—41no—
688C2×#67—41no—
689C2×#67—41no—
690C2×#67—41no—
691C2×#67—41no—
692C2×#67—41no—
693C2×#67—41no—
694C2×#67—41no—
695C2×#67—41no—
696C2×#67—41no—
697C2×#67—41no—
698C2×#67—41no—
699C2×#67—41no—
700C2×#67—41no—
701C2×#67—41no—
702C2×#67—41no—
703C2×#67—41no—
704C2×#67—416no—
705C2×#67—416no—
706C2×#67C2×D414yes—
707C2×#67C2×D414yescomplemented
708C2×#67#4114yes—
709C22×Dic3—22no—
710C22×Dic3—22no—
711C22×Dic3—22no—
712C22×Dic3—22no—
713C22×Dic3—41no—
714C22×Dic3—41no—
715C22×Dic3C2411yescharacteristic
716C22×Dic3C2411yescharacteristic
717C22×Dic3C2411yescharacteristic
718C22×Dic3C2411yescharacteristic
719C22×Dic3C2411yescharacteristic
720C22×Dic3C2411yescharacteristic
721C22×Dic3C2411yescharacteristic
722C22×Dic3C2411yescharacteristic
723C22×Dic3C2411yescharacteristic
724C22×Dic3C2411yescharacteristic
725C22×Dic3C2411yescharacteristic
726D3×D4—416no—
727C2×D12—22no—
728C2×D12—22no—
729C2×D12—22no—
730C2×D12—22no—
731C2×D12—22no—
732C2×D12—22no—
733C2×D12—22no—
734C2×D12—22no—
735C2×D12—22no—
736C2×D12—41no—
737C2×D12—41no—
738C2×D12—41no—
739C2×D12—41no—
740C2×D12—41no—
741C2×D12—41no—
742C2×D12—41no—
743C2×D12—41no—
744C2×D12—41no—
745C2×D12—416no—
746C2×D12—41no—
747C2×D12—41no—
748C2×D12C2×D414yes—
749C2×C4×D3—22no—
750C2×C4×D3—22no—
751C2×C4×D3—22no—
752C2×C4×D3—22no—
753C2×C4×D3—41no—
754C2×C4×D3—41no—
755C2×C4×D3—41no—
756C2×C4×D3—41no—
757C2×C4×D3—41no—
758C2×C4×D3—41no—
759C2×C4×D3—41no—
760C2×C4×D3—41no—
761C2×C4×D3—41no—
762C2×C4×D3—41no—
763C2×C4×D3—41no—
764C2×Dic6—22no—
765C2×Dic6—41no—
766C2×Dic6—41no—
767C3×C4⋊C4—22no—
768C3×C4⋊C4—22no—
769C3×C4⋊C4—22no—
770C3×C4⋊C4—41no—
771C3×C22⋊C4—22no—
772C3×C22⋊C4—22no—
773C3×C22⋊C4—22no—
774C3×C22⋊C4—22no—
775C3×C22⋊C4—22no—
776C3×C22⋊C4—22no—
777C3×C22⋊C4—22no—
778C3×C22⋊C4—22no—
779C3×C22⋊C4—41no—
780C3×C22⋊C4—41no—
781C3×C22⋊C4—41no—
782C3×C22⋊C4—41no—
783C3×C22⋊C4—41no—
784#217—22no—
785#217—22no—
786#217—22no—
787#217—22no—
788#217—22no—
789#217—22no—
790#217—22no—
791#217—22no—
792#217—22no—
793#217—41no—
794#217—41no—
795#217—41no—
796#217—41no—
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—22no—
810(C2×D3)⋊C4—22no—
811(C2×D3)⋊C4—22no—
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)⋊C4—41no—
826(C2×D3)⋊C4—41no—
827(C2×D3)⋊C4—41no—
828(C2×D3)⋊C4—41no—
829(C2×D3)⋊C4—41no—
830(C2×D3)⋊C4—41no—
831(C2×D3)⋊C4C2×D414yes—
832(C2×D3)⋊C4C2×D414yescomplemented
833C4⋊Dic3—22no—
834C4⋊Dic3—22no—
835C4⋊Dic3—22no—
836C4⋊Dic3—22no—
837C4⋊Dic3—41no—
838C4⋊Dic3—41no—
839C4⋊Dic3C2×D414yescomplemented
840Dic3⋊C4—22no—
841Dic3⋊C4—22no—
842Dic3⋊C4—22no—
843Dic3⋊C4—41no—
844Dic3⋊C4—41no—
845Dic3⋊C4—41no—
846Dic3⋊C4—41no—
847Dic3⋊C4—41no—
848C4×Dic3—22no—
849C4×Dic3—22no—
850C4×Dic3—41no—
851C4×Dic3—41no—
852C4×Dic3—41no—
853C4×Dic3—41no—
854C25—31no—
855C25—31no—
856C25—31no—
857C25C22×D311yescharacteristic
858C22×Q8—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—31no—
874C22×D4—31no—
875C22×D4—31no—
876C22×D4—31no—
877C22×D4—31no—
878C22×D4—31no—
879C22×D4—31no—
880C22×D4—64no—
881C22×D4—64no—
882C22×D4—64no—
883C22×D4—64no—
884C22×D4—122no—
885C22×D4—122no—
886C22×D4—122no—
887C22×D4—122no—
888C22×D4—122no—
889C22×D4—122no—
890C22×D4—122no—
891C22×D4—122no—
892C22×D4C22×D311yescharacteristic
893C22×D4C22×D311yescharacteristic
894C22×D4C22×D311yescharacteristic
895C23×C4—24no—
896C23×C4—31no—
897C23×C4—31no—
898C23×C4—31no—
899C23×C4—31no—
900C23×C4—31no—
901C23×C4—31no—
902C23×C4—31no—
903C23×C4—42no—
904C23×C4—42no—
905C23×C4C22×D311yescharacteristic
906C23×C4C22×D311yescharacteristic
907C23×C4C22×D311yescharacteristic
908C23×C4C22×D311yescharacteristic
909C23×C4C22×D311yescharacteristic
910C23×C4C22×D311yescharacteristic
911#126—64no—
912#126—64no—
913#124—64no—
914#124—64no—
915#124—122no—
916#123—24no—
917#123—42no—
918#123—64no—
919#123—122no—
920C22⋊Q8—64no—
921C22⋊Q8—122no—
922#121—38no—
923#121—64no—
924#121—64no—
925#121—64no—
926#121—64no—
927#121—64no—
928#121—64no—
929#121—64no—
930#121—64no—
931#121—64no—
932#121—122no—
933#121—122no—
934#120—42no—
935#120—64no—
936#120—64no—
937#120—64no—
938#120—64no—
939#120—122no—
940#120—122no—
941#120—122no—
942C4×D4—64no—
943C4×D4—64no—
944C4×D4—122no—
945C4×D4—122no—
946C4×D4—122no—
947C2×C4⋊C4—31no—
948C2×C4⋊C4—31no—
949C2×C4⋊C4—31no—
950C2×C4⋊C4—31no—
951C2×C4⋊C4—31no—
952C2×C4⋊C4—31no—
953C2×C4⋊C4—31no—
954C2×C4⋊C4—31no—
955C2×C4⋊C4—31no—
956C2×C4⋊C4—31no—
957C2×C4⋊C4—31no—
958C2×C4⋊C4—31no—
959C2×C4⋊C4—31no—
960C2×C4⋊C4—31no—
961C2×C4⋊C4—31no—
962C2×C4⋊C4—64no—
963C2×C4⋊C4C22×D311yescharacteristic
964C2×C4⋊C4C22×D311yescharacteristic
965C2×C4⋊C4C22×D311yescharacteristic
966C2×C4⋊C4C22×D311yescharacteristic
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—31no—
973C2×C22⋊C4—31no—
974C2×C22⋊C4—31no—
975C2×C22⋊C4—31no—
976C2×C22⋊C4—31no—
977C2×C22⋊C4—31no—
978C2×C22⋊C4—31no—
979C2×C22⋊C4—31no—
980C2×C22⋊C4—31no—
981C2×C22⋊C4—31no—
982C2×C22⋊C4—31no—
983C2×C22⋊C4—31no—
984C2×C22⋊C4—31no—
985C2×C22⋊C4—31no—
986C2×C22⋊C4—31no—
987C2×C22⋊C4—31no—
988C2×C22⋊C4—31no—
989C2×C22⋊C4—31no—
990C2×C22⋊C4—31no—
991C2×C22⋊C4—31no—
992C2×C22⋊C4—31no—
993C2×C22⋊C4—31no—
994C2×C22⋊C4—31no—
995C2×C22⋊C4—31no—
996C2×C22⋊C4—31no—
997C2×C22⋊C4—31no—
998C2×C22⋊C4—31no—
999C2×C22⋊C4—31no—
1000C2×C22⋊C4—31no—
1001C2×C22⋊C4—31no—
1002C2×C22⋊C4—31no—
1003C2×C22⋊C4—31no—
1004C2×C22⋊C4—31no—
1005C2×C22⋊C4—31no—
1006C2×C22⋊C4—31no—
1007C2×C22⋊C4—31no—
1008C2×C22⋊C4—31no—
1009C2×C22⋊C4—31no—
1010C2×C22⋊C4—31no—
1011C2×C22⋊C4—31no—
1012C2×C22⋊C4—31no—
1013C2×C22⋊C4—31no—
1014C2×C22⋊C4—31no—
1015C2×C22⋊C4—31no—
1016C2×C22⋊C4—64no—
1017C2×C22⋊C4—64no—
1018C2×C22⋊C4—64no—
1019C2×C22⋊C4—122no—
1020C2×C22⋊C4C22×D311yescharacteristic
1021C2×C22⋊C4C22×D311yescharacteristic
1022C2×C22⋊C4C22×D311yescharacteristic
1023C2×C22⋊C4C22×D311yescharacteristic
1024C2×C22⋊C4C22×D311yescharacteristic
1025C2×C22⋊C4C22×D311yescharacteristic
1026C2×C22⋊C4C22×D311yescharacteristic
1027C2×C22⋊C4C22×D311yescharacteristic
1028C2×C22⋊C4C22×D311yescharacteristic
1029C2×C22⋊C4C22×D311yescharacteristic
1030C2×C22⋊C4C22×D311yescharacteristic
1031C2×C22⋊C4C22×D311yescharacteristic
1032C2×C22⋊C4C22×D311yescharacteristic
1033C2×C42—31no—
1034C2×C42—31no—
1035C2×C42—31no—
1036C2×C42—31no—
1037C2×C42—31no—
1038C2×C42—31no—
1039#95—31no—
1040#95—31no—
1041#95—31no—
1042#95—31no—
1043#95—31no—
1044#95—31no—
1045#95—31no—
1046#95—31no—
1047#95—31no—
1048#95—31no—
1049#95—31no—
1050#95—31no—
1051#95—31no—
1052#95—31no—
1053#95—31no—
1054#95—31no—
1055#95—31no—
1056#95—31no—
1057#95C22×D311yescharacteristic
1058#95C22×D311yescharacteristic
1059#95C22×D311yescharacteristic
1060#95C22×D311yescharacteristic
1061#95C22×D311yescharacteristic
1062#95C22×D311yescharacteristic
1063#95C22×D311yescharacteristic
1064#95C22×D311yescharacteristic
1065C23×C3—21no—
1066C23×C3—21no—
1067C23×C3—21no—
1068C23×C3—21no—
1069C23×C3—28no—
1070C23×C3—21no—
1071C23×C3—21no—
1072C23×C3—21no—
1073C23×C3—21no—
1074C23×C3—21no—
1075C23×C3—21no—
1076C23×C3—21no—
1077C23×C3—21no—
1078C23×C3—21no—
1079C23×C3—21no—
1080C23×C3—21no—
1081C23×C3—21no—
1082C23×C3—21no—
1083C23×C3—21no—
1084C23×C3—21no—
1085C23×C3—21no—
1086C23×C3—21no—
1087C23×C3—21no—
1088C23×C3—21no—
1089C23×C3—44no—
1090C23×C3—44no—
1091C23×C3—44no—
1092C23×C3—44no—
1093C23×C3—44no—
1094C23×C3—44no—
1095C23×C3C22×D412yes—
1096C23×C3C2×#4112yes—
1097C23×C3H(5,𝔽2)12yes—
1098C23×C3H(5,𝔽2)12yes—
1099C23×C3H(5,𝔽2)12yes—
1100C23×C3C2511yescharacteristic
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—21no—
1122C22×D3—21no—
1123C22×D3—21no—
1124C22×D3—21no—
1125C22×D3—21no—
1126C22×D3—21no—
1127C22×D3—21no—
1128C22×D3—21no—
1129C22×D3—21no—
1130C22×D3—21no—
1131C22×D3—21no—
1132C22×D3—21no—
1133C22×D3—44no—
1134C22×D3—44no—
1135C22×D3—44no—
1136C22×D3—44no—
1137C22×D3—44no—
1138C22×D3—44no—
1139C22×D3—44no—
1140C22×D3—44no—
1141C22×D3—44no—
1142C22×D3—44no—
1143C22×D3—82no—
1144C22×D3—82no—
1145C22×D3—82no—
1146C22×D3—82no—
1147C22×D3—82no—
1148C22×D3—82no—
1149C22×D3—82no—
1150C22×D3—82no—
1151C22×D3—82no—
1152C22×D3—82no—
1153C22×D3—82no—
1154C22×D3C22×D412yes—
1155C22×D3C22×D412yes—
1156C22×D3C2×#4112yes—
1157C3×D4—44no—
1158C3×D4—82no—
1159C3×D4—82no—
1160C2×C3×C4—28no—
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—21no—
1180C2×C3×C4—21no—
1181C2×C3×C4—21no—
1182C2×C3×C4—21no—
1183C2×C3×C4—21no—
1184C2×C3×C4—21no—
1185C2×C3×C4—21no—
1186C2×C3×C4—21no—
1187C2×C3×C4—21no—
1188C2×C3×C4—21no—
1189C2×C3×C4—21no—
1190C2×C3×C4—21no—
1191C2×C3×C4—44no—
1192C2×C3×C4—44no—
1193C2×C3×C4—44no—
1194C2×C3×C4—44no—
1195C2×C3×C4—44no—
1196C2×C3×C4C22×D412yes—
1197C2×C3×C4C22×D412yes—
1198C2×C3×C4H(5,𝔽2)12yes—
1199#67—28no—
1200#67—44no—
1201#67—44no—
1202#67—44no—
1203#67—44no—
1204#67—44no—
1205#67—44no—
1206#67—44no—
1207#67—44no—
1208#67—44no—
1209#67—44no—
1210#67—44no—
1211#67—82no—
1212#67—82no—
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—21no—
1230C2×Dic3—21no—
1231C2×Dic3—21no—
1232C2×Dic3—21no—
1233C2×Dic3—21no—
1234C2×Dic3—21no—
1235C2×Dic3—21no—
1236C2×Dic3—21no—
1237C2×Dic3—21no—
1238C2×Dic3—21no—
1239C2×Dic3—21no—
1240C2×Dic3—21no—
1241C2×Dic3—21no—
1242C2×Dic3—21no—
1243C2×Dic3—44no—
1244C2×Dic3—44no—
1245C2×Dic3C22×D412yes—
1246C2×Dic3C22×D412yes—
1247C2×Dic3C2×#4112yes—
1248D12—44no—
1249D12—44no—
1250D12—44no—
1251D12—44no—
1252D12—44no—
1253D12—44no—
1254D12—82no—
1255C4×D3—44no—
1256C4×D3—82no—
1257C4×D3—82no—
1258C4×D3—82no—
1259C4×D3—82no—
1260Dic6—82no—
1261C24—22no—
1262C24—22no—
1263C24—22no—
1264C24—22no—
1265C24—22no—
1266C24—31no—
1267C24—31no—
1268C24—31no—
1269C24—31no—
1270C24—31no—
1271C24—41no—
1272C24—41no—
1273C24—62no—
1274C24—62no—
1275C24—62no—
1276C24—62no—
1277C24—62no—
1278C24—62no—
1279C24—62no—
1280C24—62no—
1281C24—62no—
1282C24—62no—
1283C24—121no—
1284C24—121no—
1285C24—121no—
1286C24—121no—
1287C24—121no—
1288C24—121no—
1289C24—121no—
1290C24—121no—
1291C24—121no—
1292C24—121no—
1293C24—121no—
1294C24C23×D311yescharacteristic
1295C24C23×D311yescharacteristic
1296C24C23×D311yescharacteristic
1297C24C23×D311yescharacteristic
1298C2×Q8—62no—
1299C2×Q8—121no—
1300C2×Q8—121no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—34no—
1307C2×D4—34no—
1308C2×D4—34no—
1309C2×D4—34no—
1310C2×D4—41no—
1311C2×D4—41no—
1312C2×D4—41no—
1313C2×D4—41no—
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—62no—
1331C2×D4—62no—
1332C2×D4—62no—
1333C2×D4—62no—
1334C2×D4—62no—
1335C2×D4—62no—
1336C2×D4—62no—
1337C2×D4—62no—
1338C2×D4—62no—
1339C2×D4—62no—
1340C2×D4—62no—
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—1216no—
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—121no—
1366C2×D4—121no—
1367C2×D4—121no—
1368C2×D4—121no—
1369C2×D4—121no—
1370C2×D4—121no—
1371C2×D4—121no—
1372C2×D4—121no—
1373C2×D4—121no—
1374C2×D4—1216no—
1375C2×D4—1216no—
1376C2×D4—1216no—
1377C22×C4—22no—
1378C22×C4—22no—
1379C22×C4—22no—
1380C22×C4—22no—
1381C22×C4—22no—
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—31no—
1388C22×C4—31no—
1389C22×C4—31no—
1390C22×C4—31no—
1391C22×C4—31no—
1392C22×C4—31no—
1393C22×C4—31no—
1394C22×C4—31no—
1395C22×C4—31no—
1396C22×C4—31no—
1397C22×C4—31no—
1398C22×C4—41no—
1399C22×C4—41no—
1400C22×C4—41no—
1401C22×C4—41no—
1402C22×C4—41no—
1403C22×C4—41no—
1404C22×C4—41no—
1405C22×C4—416no—
1406C22×C4—62no—
1407C22×C4—62no—
1408C22×C4—62no—
1409C22×C4—62no—
1410C22×C4—62no—
1411C22×C4—62no—
1412C22×C4—62no—
1413C22×C4—62no—
1414C22×C4—121no—
1415C22×C4—121no—
1416C22×C4—121no—
1417C22×C4—121no—
1418C22×C4—121no—
1419C22×C4—121no—
1420C22×C4—121no—
1421C22×C4—121no—
1422C22×C4—121no—
1423C22×C4—121no—
1424C22×C4—121no—
1425C22×C4—121no—
1426C22×C4—121no—
1427C22×C4D3×D414yescomplemented
1428C22×C4C23×D311yescharacteristic
1429C22×C4C23×D311yescharacteristic
1430C22×C4C23×D311yescharacteristic
1431C22×C4C23×D311yescharacteristic
1432C22×C4C23×D311yescharacteristic
1433C22×C4C23×D311yescharacteristic
1434C22×C4C23×D311yescharacteristic
1435C22×C4C23×D311yescharacteristic
1436C22×C4C23×D311yescharacteristic
1437C22×C4C23×D311yescharacteristic
1438C22×C4C23×D311yescharacteristic
1439C4⋊C4—22no—
1440C4⋊C4—22no—
1441C4⋊C4—22no—
1442C4⋊C4—34no—
1443C4⋊C4—41no—
1444C4⋊C4—62no—
1445C4⋊C4—62no—
1446C4⋊C4—62no—
1447C4⋊C4—62no—
1448C4⋊C4—62no—
1449C4⋊C4—62no—
1450C4⋊C4—62no—
1451C4⋊C4—121no—
1452C4⋊C4—121no—
1453C4⋊C4—121no—
1454C4⋊C4—121no—
1455C4⋊C4—121no—
1456C4⋊C4—121no—
1457C4⋊C4—121no—
1458C22⋊C4—22no—
1459C22⋊C4—22no—
1460C22⋊C4—22no—
1461C22⋊C4—22no—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—22no—
1466C22⋊C4—34no—
1467C22⋊C4—34no—
1468C22⋊C4—41no—
1469C22⋊C4—41no—
1470C22⋊C4—41no—
1471C22⋊C4—41no—
1472C22⋊C4—41no—
1473C22⋊C4—62no—
1474C22⋊C4—62no—
1475C22⋊C4—62no—
1476C22⋊C4—62no—
1477C22⋊C4—62no—
1478C22⋊C4—62no—
1479C22⋊C4—62no—
1480C22⋊C4—62no—
1481C22⋊C4—62no—
1482C22⋊C4—62no—
1483C22⋊C4—62no—
1484C22⋊C4—62no—
1485C22⋊C4—62no—
1486C22⋊C4—62no—
1487C22⋊C4—62no—
1488C22⋊C4—62no—
1489C22⋊C4—62no—
1490C22⋊C4—62no—
1491C22⋊C4—62no—
1492C22⋊C4—62no—
1493C22⋊C4—62no—
1494C22⋊C4—62no—
1495C22⋊C4—62no—
1496C22⋊C4—62no—
1497C22⋊C4—121no—
1498C22⋊C4—121no—
1499C22⋊C4—121no—
1500C22⋊C4—121no—
1501C22⋊C4—121no—
1502C22⋊C4—121no—
1503C22⋊C4—121no—
1504C22⋊C4—121no—
1505C22⋊C4—121no—
1506C22⋊C4—121no—
1507C22⋊C4—121no—
1508C22⋊C4—121no—
1509C22⋊C4—121no—
1510C22⋊C4—121no—
1511C22⋊C4—121no—
1512C22⋊C4—121no—
1513C22⋊C4—121no—
1514C22⋊C4—121no—
1515C22⋊C4—121no—
1516C22⋊C4—121no—
1517C22⋊C4—121no—
1518C22⋊C4—121no—
1519C22⋊C4—121no—
1520C42—62no—
1521C42—62no—
1522C42—121no—
1523C42—121no—
1524C42—121no—
1525C42—121no—
1526C22×C3—22no—
1527C22×C3—22no—
1528C22×C3—22no—
1529C22×C3—22no—
1530C22×C3—22no—
1531C22×C3—22no—
1532C22×C3—22no—
1533C22×C3—22no—
1534C22×C3—22no—
1535C22×C3—22no—
1536C22×C3—22no—
1537C22×C3—22no—
1538C22×C3—416no—
1539C22×C3—41no—
1540C22×C3—41no—
1541C22×C3—41no—
1542C22×C3—41no—
1543C22×C3—41no—
1544C22×C3—41no—
1545C22×C3—41no—
1546C22×C3—41no—
1547C22×C3—41no—
1548C22×C3—41no—
1549C22×C3—41no—
1550C22×C3—41no—
1551C22×C3—41no—
1552C22×C3—41no—
1553C22×C3—41no—
1554C22×C3#53814yescomplemented
1555C22×C3C23×D411yescharacteristic
1556C22×C3C22×#4111yescharacteristic
1557C22×C3C2×H(5,𝔽2)11yescharacteristic
1558C22×C3C2×H(5,𝔽2)11yescharacteristic
1559C22×C3C2×H(5,𝔽2)11yescharacteristic
1560C22×C3C2×H(5,𝔽2)11yescharacteristic
1561C22×C3#58511yescharacteristic
1562C2×D3—22no—
1563C2×D3—22no—
1564C2×D3—22no—
1565C2×D3—22no—
1566C2×D3—22no—
1567C2×D3—22no—
1568C2×D3—22no—
1569C2×D3—22no—
1570C2×D3—22no—
1571C2×D3—41no—
1572C2×D3—41no—
1573C2×D3—41no—
1574C2×D3—41no—
1575C2×D3—41no—
1576C2×D3—41no—
1577C2×D3—41no—
1578C2×D3—41no—
1579C2×D3—41no—
1580C2×D3—41no—
1581C2×D3—41no—
1582C2×D3—41no—
1583C2×D3—41no—
1584C2×D3—41no—
1585C2×D3—41no—
1586C2×D3—41no—
1587C2×D3—41no—
1588C2×D3—41no—
1589C2×D3—41no—
1590C2×D3—41no—
1591C2×D3—41no—
1592C2×D3—41no—
1593C2×D3—41no—
1594C2×D3—41no—
1595C2×D3—41no—
1596C2×D3—41no—
1597C2×D3—88no—
1598C2×D3—88no—
1599C2×D3—88no—
1600C3×C4—22no—
1601C3×C4—22no—
1602C3×C4—22no—
1603C3×C4—41no—
1604C3×C4—41no—
1605C3×C4—41no—
1606C3×C4—41no—
1607C3×C4—41no—
1608C3×C4—41no—
1609C3×C4—41no—
1610C3×C4—41no—
1611Dic3—22no—
1612Dic3—22no—
1613Dic3—22no—
1614Dic3—41no—
1615Dic3—41no—
1616Dic3—41no—
1617Dic3—41no—
1618Dic3—41no—
1619Dic3—41no—
1620Dic3—41no—
1621Dic3—41no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—28no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—21no—
1646C23—32no—
1647C23—32no—
1648C23—32no—
1649C23—44no—
1650C23—44no—
1651C23—44no—
1652C23—44no—
1653C23—44no—
1654C23—44no—
1655C23—61no—
1656C23—61no—
1657C23—61no—
1658C23—61no—
1659C23—61no—
1660C23—61no—
1661C23—61no—
1662C23—61no—
1663C23—61no—
1664C23—61no—
1665C23—61no—
1666C23—61no—
1667C23—61no—
1668C23—61no—
1669C23—61no—
1670C23—61no—
1671C23—61no—
1672C23—61no—
1673C23—61no—
1674C23—61no—
1675C23—61no—
1676C23—61no—
1677C23—61no—
1678C23—61no—
1679C23—61no—
1680C23—61no—
1681C23—61no—
1682C23—61no—
1683C23—61no—
1684C23—61no—
1685C23—61no—
1686C23—61no—
1687C23—124no—
1688C23—124no—
1689C23—124no—
1690C23—124no—
1691C23—124no—
1692C23—124no—
1693C23—124no—
1694C23—124no—
1695C23—124no—
1696C23—124no—
1697C23—242no—
1698C23—242no—
1699C23—242no—
1700C23—242no—
1701C23—242no—
1702C23—242no—
1703C23—242no—
1704C23—242no—
1705C23—242no—
1706C23—242no—
1707C23—242no—
1708C23C2×D3×D412yes—
1709C23#100412yes—
1710C23D3×#4112yes—
1711C23#100912yes—
1712C23#100912yes—
1713C23C24×D311yescharacteristic
1714Q8—242no—
1715D4—44no—
1716D4—68no—
1717D4—82no—
1718D4—82no—
1719D4—124no—
1720D4—124no—
1721D4—124no—
1722D4—124no—
1723D4—124no—
1724D4—124no—
1725D4—124no—
1726D4—124no—
1727D4—124no—
1728D4—124no—
1729D4—124no—
1730D4—124no—
1731D4—124no—
1732D4—124no—
1733D4—124no—
1734D4—124no—
1735D4—124no—
1736D4—242no—
1737D4—242no—
1738D4—242no—
1739C2×C4—28no—
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—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—32no—
1771C2×C4—32no—
1772C2×C4—32no—
1773C2×C4—44no—
1774C2×C4—44no—
1775C2×C4—44no—
1776C2×C4—44no—
1777C2×C4—44no—
1778C2×C4—61no—
1779C2×C4—61no—
1780C2×C4—61no—
1781C2×C4—61no—
1782C2×C4—61no—
1783C2×C4—61no—
1784C2×C4—61no—
1785C2×C4—61no—
1786C2×C4—61no—
1787C2×C4—61no—
1788C2×C4—61no—
1789C2×C4—61no—
1790C2×C4—61no—
1791C2×C4—61no—
1792C2×C4—61no—
1793C2×C4—61no—
1794C2×C4—61no—
1795C2×C4—61no—
1796C2×C4—61no—
1797C2×C4—61no—
1798C2×C4—61no—
1799C2×C4—61no—
1800C2×C4—61no—
1801C2×C4—61no—
1802C2×C4—61no—
1803C2×C4—61no—
1804C2×C4—61no—
1805C2×C4—61no—
1806C2×C4—61no—
1807C2×C4—61no—
1808C2×C4—124no—
1809C2×C4—124no—
1810C2×C4—124no—
1811C2×C4—242no—
1812C2×C4—242no—
1813C2×C4—242no—
1814C2×C4—242no—
1815C2×C4C2×D3×D412yes—
1816C2×C4C2×D3×D412yes—
1817C2×C4#100412yes—
1818C2×C3—24no—
1819C2×C3—42no—
1820C2×C3—42no—
1821C2×C3—81no—
1822C2×C3C2×#53811yescharacteristic
1823C2×C3D4×#4111yescharacteristic
1824C2×C3#348411yescharacteristic
1825C2×C3#348411yescharacteristic
1826C2×C3#351911yescharacteristic
1827C2×C3#353411yescharacteristic
1828C2×C3#354211yescharacteristic
1829D3—42no—
1830D3—42no—
1831D3—42no—
1832D3—81no—
1833D3—81no—
1834C22—22no—
1835C22—22no—
1836C22—22no—
1837C22—22no—
1838C22—22no—
1839C22—22no—
1840C22—22no—
1841C22—22no—
1842C22—22no—
1843C22—22no—
1844C22—22no—
1845C22—22no—
1846C22—416no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—62no—
1863C22—62no—
1864C22—62no—
1865C22—62no—
1866C22—62no—
1867C22—62no—
1868C22—62no—
1869C22—62no—
1870C22—62no—
1871C22—121no—
1872C22—121no—
1873C22—121no—
1874C22—121no—
1875C22—121no—
1876C22—121no—
1877C22—121no—
1878C22—121no—
1879C22—121no—
1880C22—121no—
1881C22—121no—
1882C22—121no—
1883C22—121no—
1884C22—121no—
1885C22—121no—
1886C22—121no—
1887C22—121no—
1888C22—121no—
1889C22—121no—
1890C22—121no—
1891C22—121no—
1892C22—121no—
1893C22—121no—
1894C22—121no—
1895C22—121no—
1896C22—121no—
1897C22—248no—
1898C22—248no—
1899C22—248no—
1900C22#565714yescomplemented
1901C22C22×D3×D411yescharacteristic
1902C22C2×#100411yescharacteristic
1903C22C2×#100411yescharacteristic
1904C22C2×D3×#4111yescharacteristic
1905C22C2×#100911yescharacteristic
1906C22C2×#100911yescharacteristic
1907C22#596411yescharacteristic
1908C4—22no—
1909C4—22no—
1910C4—22no—
1911C4—41no—
1912C4—41no—
1913C4—41no—
1914C4—41no—
1915C4—41no—
1916C4—41no—
1917C4—41no—
1918C4—41no—
1919C4—62no—
1920C4—62no—
1921C4—62no—
1922C4—121no—
1923C4—121no—
1924C4—121no—
1925C4—121no—
1926C4—121no—
1927C4—121no—
1928C4—121no—
1929C4—121no—
1930C3#3772011yescharacteristic, complemented, Sylow
1931C2—24no—
1932C2—42no—
1933C2—42no—
1934C2—81no—
1935C2—122no—
1936C2—122no—
1937C2—122no—
1938C2—241no—
1939C2—241no—
1940C2#8591911yescharacteristic
1941C2C2×#565711yescharacteristic
1942C2#8601711yescharacteristic
1943C2#8603311yescharacteristic
1944C2#8603711yescharacteristic
1945C2#8603911yescharacteristic
1946C2#8604611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2849C2
hypercenter#2849D3
hypocenterC3#37720
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2849

Complements

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

NH ≅ G/Ntype
1. C22×#930C2semidirect
2. C2×#5657C2semidirect
3. C3×#2849C2semidirect
4. C4×#953C2semidirect
5. #82907C2semidirect
6. #82873C2semidirect
7. #82867C2semidirect
8. #82605C2semidirect
9. #82604C2semidirect
10. #74910C2semidirect
11. #74894C2semidirect
12. #74884C2semidirect
13. #74878C2semidirect
14. #74823C2semidirect
15. #74756C2semidirect
16. #74737C2semidirect
17. #74727C2semidirect
18. #74639C2semidirect
19. #74599C2semidirect
20. #74596C2semidirect
21. #74509C2semidirect
22. #74476C2semidirect
23. #74452C2semidirect
24. #74427C2semidirect
25. #74422C2semidirect
26. #74139C2semidirect
27. #74138C2semidirect
28. #74137C2semidirect
29. #74058C2semidirect
30. #73827C2semidirect
31. #73824C2semidirect
33. C24×C3×C4C22semidirect
35. C23×#67C22semidirect
38. C2×C3×#123C22semidirect
39. C2×C3×#123C22semidirect
42. C2×#938C22semidirect
43. C2×#938C22semidirect
45. C2×#937C22semidirect
46. C2×#937C22semidirect
52. C2×#930C22semidirect
53. C2×#930C22semidirect
54. C2×#930C22semidirect
55. C2×#930C22semidirect
57. C2×C4×#67C22semidirect
58. C2×C4×#67C22semidirect
60. C22×(C2×D3)⋊C4C22semidirect
61. C22×C4⋊Dic3C22semidirect
63. C2×#898C22semidirect
64. C2×#897C22semidirect
65. C2×#894C22semidirect
66. C2×#894C22semidirect
67. C2×#893C22semidirect
68. C2×#885C22semidirect
69. C2×#885C22semidirect
70. C2×#885C22semidirect
71. C2×#884C22semidirect
72. C2×#884C22semidirect
74. C2×#882C22semidirect
75. C2×#882C22semidirect
77. C2×D3×C22⋊C4C22semidirect
78. C2×D3×C22⋊C4C22semidirect
79. C2×#879C22semidirect
80. C2×#878C22semidirect
83. C3×#386C22semidirect
84. C3×#386C22semidirect
85. C3×#385C22semidirect
86. C3×#385C22semidirect
87. C3×#385C22semidirect
88. C3×#385C22semidirect
89. C3×#381C22semidirect
90. C3×#381C22semidirect
91. C3×#379C22semidirect
92. #5247C22semidirect
93. #5223C22semidirect
94. #5223C22semidirect
95. #5223C22semidirect
96. #5223C22semidirect
100. #5213C22semidirect
101. #5213C22semidirect
102. #5210C22semidirect
103. #5210C22semidirect
104. #5210C22semidirect
105. C4×#217C22semidirect
106. C4×#217C22semidirect
107. C4×#217C22semidirect
108. #4994C22semidirect
109. #4994C22semidirect
110. #4992C22semidirect
111. #4991C22semidirect
112. #4991C22semidirect
113. #4990C22semidirect
114. #4990C22semidirect
115. #4989C22semidirect
116. #4988C22semidirect
117. #4984C22semidirect
118. #4981C22semidirect
119. #4961C22semidirect
120. #4961C22semidirect
121. #4961C22semidirect
122. #4961C22semidirect
123. #4961C22semidirect
124. #4960C22semidirect
125. #4960C22semidirect
126. #4960C22semidirect
127. #4960C22semidirect
128. #4960C22semidirect
129. #4960C22semidirect
130. #4959C22semidirect
131. #4959C22semidirect
132. #4959C22semidirect
133. #4959C22semidirect
134. #4959C22semidirect
136. #4957C22semidirect
137. #4957C22semidirect
138. #4957C22semidirect
139. #4957C22semidirect
140. #4957C22semidirect
141. #4957C22semidirect
142. #4957C22semidirect
143. #4956C22semidirect
144. #4956C22semidirect
145. #4956C22semidirect
146. #4956C22semidirect
150. #4955C22semidirect
151. #4955C22semidirect
152. #4953C22semidirect
153. #4951C22semidirect
154. #4950C22semidirect
155. #4948C22semidirect
156. #4942C22semidirect
157. Dic3×C22⋊C4C22semidirect
158. #4677C22semidirect
159. #4675C22semidirect
160. #4675C22semidirect
161. #4674C22semidirect
162. #4673C22semidirect
163. #4672C22semidirect
164. #4672C22semidirect
165. #4671C22semidirect
166. #4671C22semidirect
167. #4670C22semidirect
168. #4670C22semidirect
169. #4669C22semidirect
170. #4669C22semidirect
171. #4669C22semidirect
172. #4668C22semidirect
173. #4667C22semidirect
174. #4666C22semidirect
175. #4666C22semidirect
176. #4665C22semidirect
177. #4665C22semidirect
178. #4665C22semidirect
179. #4665C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. #4665C22semidirect
183. #4665C22semidirect
184. #4660C22semidirect
185. #4659C22semidirect
186. #4656C22semidirect
187. #4655C22semidirect
188. #4653C22semidirect
189. #4653C22semidirect
192. #2849D3semidirect
324. #930D4semidirect
436. C24×C4C2×D3semidirect
445. C2×#123C2×D3semidirect
446. C2×#123C2×D3semidirect
560. #386C2×D3semidirect
561. #386C2×D3semidirect
568. #385C2×D3semidirect
569. #385C2×D3semidirect
570. #385C2×D3semidirect
571. #385C2×D3semidirect
572. #381C2×D3semidirect
573. #381C2×D3semidirect
582. #379C2×D3semidirect
653. C22×C3×C4C2×D4semidirect
707. C2×#67C2×D4semidirect
832. (C2×D3)⋊C4C2×D4semidirect
839. C4⋊Dic3C2×D4semidirect
1427. C22×C4D3×D4semidirect
1554. C22×C3#538semidirect
1900. C22#5657semidirect
1930. C3#37720semidirect

Maximal subgroups

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

subgroupindex
C22×#9302
C2×#56572
C3×#28492
C4×#9532
#829072
#828732
#828672
#826052
#826042
#749102
#748942
#748842
#748782
#748232
#747562
#747372
#747272
#746392
#745992
#745962
#745092
#744762
#744522
#744272
#744222
#741392
#741382
#741372
#740582
#738272
#738242
#377203