Finite Group Databasebeta

← #11170498

Subgroups — #11170498

Order 768.

3130 conjugacy classes of subgroups.

The subgroup lattice has 1950 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5490C211yesmaximal, characteristic, complemented
2C2×#5490C211yesmaximal, characteristic, complemented
3C3×D4×C22⋊C4C211yesmaximal, characteristic, complemented
4#84052C211yesmaximal, characteristic, complemented
5#84052C211yesmaximal, characteristic, complemented
6#82413C211yesmaximal, characteristic, complemented
7#82402C211yesmaximal, characteristic, complemented
8#82400C211yesmaximal, characteristic, complemented
9#82364C211yesmaximal, characteristic, complemented
10#82128C211yesmaximal, characteristic, complemented
11#82111C211yesmaximal, characteristic, complemented
12#76464C211yesmaximal, characteristic, complemented
13#76432C211yesmaximal, characteristic, complemented
14#76429C211yesmaximal, characteristic, complemented
15#76382C211yesmaximal, characteristic, complemented
16#74911C211yesmaximal, characteristic, complemented
17#74903C211yesmaximal, characteristic, complemented
18#74900C211yesmaximal, characteristic, complemented
19#74894C211yesmaximal, characteristic, complemented
20#74886C211yesmaximal, characteristic, complemented
21#74886C211yesmaximal, characteristic, complemented
22#74807C211yesmaximal, characteristic, complemented
23#74713C211yesmaximal, characteristic, complemented
24#74042C211yesmaximal, characteristic, complemented
25#74037C211yesmaximal, characteristic, complemented
26#73859C211yesmaximal, characteristic, complemented
27#73854C211yesmaximal, characteristic, complemented
28#73840C211yesmaximal, characteristic, complemented
29#73824C211yesmaximal, characteristic, complemented
30#73602C211yesmaximal, characteristic, complemented
31#73570C211yesmaximal, characteristic, complemented
32#43118—31nomaximal, Sylow
33C23×C3×D4C2211yescharacteristic
34C23×#67C2211yescharacteristic, complemented
35C23×#67C2211yescharacteristic, complemented
36C22×#235C2211yescharacteristic, complemented
37C22×#235C2211yescharacteristic, complemented
38C2×C3×C4×D4C2211yescharacteristic, complemented
39C2×C3×C4×D4C2211yescharacteristic, complemented
40C22×C3×C22⋊C4C2211yescharacteristic, complemented
41C22×C3×C22⋊C4C2211yescharacteristic, complemented
42C2×#953C2211yescharacteristic
43C2×#953C2211yescharacteristic
44C2×#953C2211yescharacteristic
45C2×#953C2211yescharacteristic
46C2×#937C2211yescharacteristic
47C2×#937C2211yescharacteristic
48C2×#937C2211yescharacteristic, complemented
49C2×#937C2211yescharacteristic, complemented
50C2×#930C2211yescharacteristic, complemented
51C2×#930C2211yescharacteristic, complemented
52C2×#929C2211yescharacteristic, complemented
53C2×#929C2211yescharacteristic, complemented
54C2×C4×#67C2211yescharacteristic, complemented
55C2×C4×#67C2211yescharacteristic, complemented
56C2×C4×#67C2211yescharacteristic, complemented
57C2×#924C2211yescharacteristic, complemented
58C2×#885C2211yescharacteristic, complemented
59C2×#885C2211yescharacteristic, complemented
60#5490—28no—
61#5490—28no—
62C2×#884C2211yescharacteristic
63C2×#884C2211yescharacteristic
64C2×#884C2211yescharacteristic
65C2×#884C2211yescharacteristic, complemented
66C2×#884C2211yescharacteristic, complemented
67C2×#883C2211yescharacteristic, complemented
68C2×#883C2211yescharacteristic, complemented
69C2×#882C2211yescharacteristic, complemented
70C2×#882C2211yescharacteristic, complemented
71C2×#882C2211yescharacteristic, complemented
72C2×#882C2211yescharacteristic, complemented
73C2×#67⋊C4C2211yescharacteristic, complemented
74C2×#67⋊C4C2211yescharacteristic, complemented
75C2×#67⋊C4C2211yescharacteristic, complemented
76C2×D3×C22⋊C4C2211yescharacteristic, complemented
77C2×D3×C22⋊C4C2211yescharacteristic, complemented
78C2×D3×C22⋊C4C2211yescharacteristic, complemented
79C2×#878C2211yescharacteristic, complemented
80C2×#878C2211yescharacteristic, complemented
81C3×#390C2211yescharacteristic
82C3×#390C2211yescharacteristic
83C3×#386C2211yescharacteristic, complemented
84C3×#386C2211yescharacteristic, complemented
85C3×#386C2211yescharacteristic, complemented
86C3×#386C2211yescharacteristic, complemented
87C3×#380C2211yescharacteristic, complemented
88C3×#379C2211yescharacteristic, complemented
89C3×#379C2211yescharacteristic, complemented
90C3×C4×C22⋊C4C2211yescharacteristic, complemented
91#5247C2211yescharacteristic, complemented
92#5247C2211yescharacteristic, complemented
93#5223C2211yescharacteristic
94#5223C2211yescharacteristic
95#5223C2211yescharacteristic
96#5223C2211yescharacteristic
97#5223C2211yescharacteristic, complemented
98#5223C2211yescharacteristic, complemented
99#5223C2211yescharacteristic, complemented
100#5223C2211yescharacteristic, complemented
101#5220C2211yescharacteristic
102#5220C2211yescharacteristic
103#5220C2211yescharacteristic, complemented
104#5220C2211yescharacteristic, complemented
105#5213C2211yescharacteristic, complemented
106#5213C2211yescharacteristic, complemented
107#5213C2211yescharacteristic, complemented
108#5213C2211yescharacteristic, complemented
109#5213C2211yescharacteristic, complemented
110#5213C2211yescharacteristic, complemented
111#5213C2211yescharacteristic, complemented
112#5212C2211yescharacteristic, complemented
113#5210C2211yescharacteristic, complemented
114C4×#217C2211yescharacteristic, complemented
115#4991C2211yescharacteristic, complemented
116#4991C2211yescharacteristic, complemented
117#4990C2211yescharacteristic, complemented
118#4989C2211yescharacteristic, complemented
119#4989C2211yescharacteristic, complemented
120#4989C2211yescharacteristic, complemented
121#4982C2211yescharacteristic, complemented
122#4979C2211yescharacteristic, complemented
123#4961C2211yescharacteristic, complemented
124#4961C2211yescharacteristic, complemented
125#4961C2211yescharacteristic, complemented
126#4961C2211yescharacteristic, complemented
127#4960C2211yescharacteristic
128#4960C2211yescharacteristic, complemented
129#4960C2211yescharacteristic, complemented
130#4959C2211yescharacteristic, complemented
131#4959C2211yescharacteristic, complemented
132#4959C2211yescharacteristic, complemented
133#4959C2211yescharacteristic, complemented
134#4959C2211yescharacteristic, complemented
135#4959C2211yescharacteristic, complemented
136#4958C2211yescharacteristic, complemented
137#4957C2211yescharacteristic, complemented
138#4957C2211yescharacteristic, complemented
139#4957C2211yescharacteristic, complemented
140#4956C2211yescharacteristic, complemented
141#4956C2211yescharacteristic, complemented
142#4956C2211yescharacteristic, complemented
143#4956C2211yescharacteristic, complemented
144#4956C2211yescharacteristic, complemented
145#4956C2211yescharacteristic, complemented
146#4956C2211yescharacteristic, complemented
147#4955C2211yescharacteristic, complemented
148#4953C2211yescharacteristic, complemented
149#4952C2211yescharacteristic, complemented
150#4952C2211yescharacteristic, complemented
151#4951C2211yescharacteristic, complemented
152#4951C2211yescharacteristic, complemented
153#4951C2211yescharacteristic, complemented
154#4949C2211yescharacteristic, complemented
155#4948C2211yescharacteristic, complemented
156#4948C2211yescharacteristic, complemented
157#4947C2211yescharacteristic, complemented
158#4947C2211yescharacteristic, complemented
159#4947C2211yescharacteristic, complemented
160#4946C2211yescharacteristic, complemented
161#4945C2211yescharacteristic, complemented
162#4945C2211yescharacteristic, complemented
163#4944C2211yescharacteristic, complemented
164#4944C2211yescharacteristic, complemented
165#4942C2211yescharacteristic, complemented
166#4940C2211yescharacteristic, complemented
167#4939C2211yescharacteristic, complemented
168#4939C2211yescharacteristic, complemented
169C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
170C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
171C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
172#4933C2211yescharacteristic, complemented
173#4929C2211yescharacteristic, complemented
174#4675C2211yescharacteristic, complemented
175#4674C2211yescharacteristic, complemented
176#4673C2211yescharacteristic, complemented
177#4673C2211yescharacteristic, complemented
178#4672C2211yescharacteristic, complemented
179#4669C2211yescharacteristic, complemented
180#4668C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183#4665C2211yescharacteristic, complemented
184#4664C2211yescharacteristic, complemented
185#4664C2211yescharacteristic, complemented
186#4658C2211yescharacteristic, complemented
187#4655C2211yescharacteristic, complemented
188#4653C2211yescharacteristic, complemented
189#4652C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×#546—31no—
192#2708—31no—
193#2697—31no—
194#2696—31no—
195#2692—31no—
196#2686—31no—
197#2684—31no—
198#2679—31no—
199#2668—31no—
200#2600—31no—
201#2557—31no—
202#2472—31no—
203#2464—31no—
204#2463—31no—
205#2457—31no—
206#2456—31no—
207#2424—31no—
208#2418—31no—
209#2410—31no—
210#2408—31no—
211#2407—31no—
212#2404—31no—
213#2404—31no—
214#2403—31no—
215#2403—31no—
216#2388—31no—
217#2358—31no—
218D4×C22⋊C4D311yescharacteristic, complemented
219#2333—31no—
220#2321—31no—
221C25×C3C2311yescharacteristic
222C25×C3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C24×D3C2311yescharacteristic
225C22×C3×D4—24no—
226C22×C3×D4—42no—
227C22×C3×D4—42no—
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C22×C3×D4C2311yescharacteristic
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
257C22×#67C2311yescharacteristic
258C22×#67C2311yescharacteristic
259C23×Dic3C2311yescharacteristic
260C23×Dic3C2311yescharacteristic
261C2×#235—24no—
262C2×#235—24no—
263C2×#235—42no—
264C2×#235—42no—
265C2×#235—42no—
266C2×#235—42no—
267C22×D12C2311yescharacteristic
268C22×D12C2311yescharacteristic
269C22×D12C2311yescharacteristic
270C22×D12C2311yescharacteristic
271C22×C4×D3C2311yescharacteristic
272C22×C4×D3C2311yescharacteristic
273C22×C4×D3C2311yescharacteristic
274C22×C4×D3C2311yescharacteristic
275C22×C4×D3C2311yescharacteristic
276C22×C4×D3C2311yescharacteristic
277C22×Dic6C2311yescharacteristic
278C22×Dic6C2311yescharacteristic
279C3×C4×D4—42no—
280C3×C4×D4—42no—
281C2×C3×C4⋊C4C2311yescharacteristic
282C2×C3×C4⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4—24no—
284C2×C3×C22⋊C4—24no—
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
298C2×C3×C22⋊C4C2311yescharacteristic
299C2×C3×C22⋊C4C2311yescharacteristic
300C2×C3×C22⋊C4C2311yescharacteristic
301C2×C3×C42C2311yescharacteristic
302C2×C3×C42C2311yescharacteristic
303#953—24no—
304#953—24no—
305#953—42no—
306#953—42no—
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313C2×#217C2311yescharacteristic
314C2×#217C2311yescharacteristic
315C2×#217C2311yescharacteristic
316C2×#217C2311yescharacteristic
317C2×#217C2311yescharacteristic
318C2×#217C2311yescharacteristic
319C2×#217C2311yescharacteristic
320C2×#217C2311yescharacteristic
321C2×#217C2311yescharacteristic
322C2×#217C2311yescharacteristic
323C2×#217C2311yescharacteristic
324C2×#217C2311yescharacteristic
325C2×#217C2311yescharacteristic
326C2×#217C2311yescharacteristic
327#937—24no—
328#937—24no—
329#937—42no—
330#937—42no—
331#930—24no—
332#930—24no—
333#929—24no—
334#929—24no—
335C4×#67—24no—
336C4×#67—24no—
337C4×#67—42no—
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×C4⋊Dic3C2311yescharacteristic
365C2×C4⋊Dic3C2311yescharacteristic
366C2×C4⋊Dic3C2311yescharacteristic
367C2×C4⋊Dic3C2311yescharacteristic
368#924—42no—
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×Dic3⋊C4C2311yescharacteristic
374C2×Dic3⋊C4C2311yescharacteristic
375C2×Dic3⋊C4C2311yescharacteristic
376C2×Dic3⋊C4C2311yescharacteristic
377C2×Dic3⋊C4C2311yescharacteristic
378C2×Dic3⋊C4C2311yescharacteristic
379C2×C4×Dic3C2311yescharacteristic
380C2×C4×Dic3C2311yescharacteristic
381C2×C4×Dic3C2311yescharacteristic
382C2×C4×Dic3C2311yescharacteristic
383#885—24no—
384#885—24no—
385#884—24no—
386#884—24no—
387#884—42no—
388#884—42no—
389#884D418yescomplemented
390#883—24no—
391#883—24no—
392#882—24no—
393#882—24no—
394#882—42no—
395#882—42no—
396#67⋊C4—24no—
397#67⋊C4—24no—
398#67⋊C4—42no—
399D3×C22⋊C4—24no—
400D3×C22⋊C4—24no—
401D3×C22⋊C4—42no—
402#878—24no—
403#878—24no—
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
429C3⋊#95C2311yescharacteristic
430C3⋊#95C2311yescharacteristic
431C3⋊#95C2311yescharacteristic
432C22×#41—31no—
433C22×#41—31no—
434C23×D4—31no—
435C23×D4—31no—
436C23×D4C2×D311yescharacteristic
437#546—68no—
438#546—68no—
439C2×#124—31no—
440C2×#124—31no—
441C2×#123—31no—
442C2×#123—31no—
443C2×#123—31no—
444C2×#123—31no—
445C2×C22⋊Q8—31no—
446C2×C22⋊Q8—31no—
447C2×C22⋊Q8—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121—31no—
455C2×#120—31no—
456C2×#120—31no—
457C2×#120—31no—
458C2×#120—31no—
459C2×#120—31no—
460C2×#120—31no—
461C2×#120—31no—
462C2×#120—31no—
463C2×#120—31no—
464C2×#120—31no—
465C2×#120—31no—
466C2×#120—31no—
467C2×C4×D4—31no—
468C2×C4×D4—31no—
469C2×C4×D4—31no—
470C2×C4×D4—31no—
471C2×C4×D4—31no—
472C2×C4×D4—31no—
473C2×C4×D4C2×D311yescharacteristic, complemented
474C2×C4×D4C2×D311yescharacteristic, complemented
475C22×C22⋊C4—31no—
476C22×C22⋊C4—31no—
477C22×C22⋊C4—31no—
478C22×C22⋊C4C2×D311yescharacteristic, complemented
479C22×C22⋊C4C2×D311yescharacteristic, complemented
480#400—31no—
481#399—31no—
482#398—31no—
483#397—31no—
484#397—31no—
485#397—31no—
486#397—31no—
487#397—31no—
488#396—31no—
489#396—31no—
490#395—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#393—31no—
505#393—31no—
506#393—31no—
507#393—31no—
508#393—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#391—31no—
521#390—31no—
522#390—31no—
523#390—31no—
524#390—31no—
525#390—31no—
526#390C2×D311yescharacteristic
527#390C2×D311yescharacteristic
528#388—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#388—31no—
535#388—31no—
536#388—31no—
537#388—31no—
538#387—31no—
539#387—31no—
540#387—31no—
541#387—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386—31no—
557#386—31no—
558#386—31no—
559#386—31no—
560#386—31no—
561#386—31no—
562#386—31no—
563#386—31no—
564#386C2×D311yescharacteristic, complemented
565#386C2×D311yescharacteristic, complemented
566#386C2×D311yescharacteristic, complemented
567#386C2×D311yescharacteristic, complemented
568#385—31no—
569#385—31no—
570#385—31no—
571#385—31no—
572#385—31no—
573#385—31no—
574#381—31no—
575#381—31no—
576#380—31no—
577#380—31no—
578#380C2×D311yescharacteristic, complemented
579#379—31no—
580#379—31no—
581#379—31no—
582#379C2×D311yescharacteristic, complemented
583#379C2×D311yescharacteristic, complemented
584C4×C22⋊C4—31no—
585C4×C22⋊C4—31no—
586C4×C22⋊C4—31no—
587C4×C22⋊C4—31no—
588C4×C22⋊C4C2×D311yescharacteristic, complemented
589C24×C3—22no—
590C24×C3—22no—
591C24×C3—22no—
592C24×C3—22no—
593C24×C3—22no—
594C24×C3—22no—
595C24×C3—41no—
596C24×C3—41no—
597C24×C3—41no—
598C24×C3—41no—
599C24×C3—41no—
600C24×C3—41no—
601C24×C3—41no—
602C24×C3—41no—
603C24×C3C2411yescharacteristic
604C24×C3C2411yescharacteristic
605C24×C3C2411yescharacteristic
606C24×C3C2411yescharacteristic
607C24×C3C2411yescharacteristic
608C23×D3—22no—
609C23×D3—22no—
610C23×D3—22no—
611C23×D3—22no—
612C23×D3—22no—
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×D3—41no—
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—22no—
632C2×C3×D4—22no—
633C2×C3×D4—41no—
634C2×C3×D4—41no—
635C2×C3×D4—41no—
636C2×C3×D4—41no—
637C2×C3×D4—416no—
638C2×C3×D4#4114yescomplemented
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—22no—
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—41no—
653C22×C3×C4—41no—
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
664C2×#67—22no—
665C2×#67—22no—
666C2×#67—22no—
667C2×#67—22no—
668C2×#67—22no—
669C2×#67—22no—
670C2×#67—22no—
671C2×#67—22no—
672C2×#67—22no—
673C2×#67—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—22no—
684C2×#67—22no—
685C2×#67—22no—
686C2×#67—22no—
687C2×#67—22no—
688C2×#67—22no—
689C2×#67—22no—
690C2×#67—22no—
691C2×#67—22no—
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—41no—
705C2×#67—41no—
706C2×#67—41no—
707C2×#67—41no—
708C2×#67—41no—
709C2×#67—41no—
710C2×#67—416no—
711C2×#67—416no—
712C2×#67C2×D414yes—
713C2×#67C2×D414yes—
714C22×Dic3—22no—
715C22×Dic3—22no—
716C22×Dic3—22no—
717C22×Dic3—41no—
718C22×Dic3—41no—
719C22×Dic3—41no—
720C22×Dic3C2411yescharacteristic
721C22×Dic3C2411yescharacteristic
722C22×Dic3C2411yescharacteristic
723C22×Dic3C2411yescharacteristic
724C22×Dic3C2411yescharacteristic
725C22×Dic3C2411yescharacteristic
726C22×Dic3C2411yescharacteristic
727C22×Dic3C2411yescharacteristic
728C22×Dic3C2411yescharacteristic
729C22×Dic3C2411yescharacteristic
730C22×Dic3C2411yescharacteristic
731C22×Dic3C2411yescharacteristic
732#235—416no—
733#235—416no—
734C2×D12—22no—
735C2×D12—22no—
736C2×D12—22no—
737C2×D12—22no—
738C2×D12—41no—
739C2×D12—41no—
740C2×D12—41no—
741C2×D12—41no—
742C2×D12—41no—
743C2×D12—41no—
744C2×D12—41no—
745C2×D12C2×D414yescomplemented
746C2×C4×D3—22no—
747C2×C4×D3—22no—
748C2×C4×D3—22no—
749C2×C4×D3—22no—
750C2×C4×D3—22no—
751C2×C4×D3—22no—
752C2×C4×D3—41no—
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×D3C2×D414yescomplemented
764C2×Dic6—22no—
765C2×Dic6—22no—
766C2×Dic6—22no—
767C2×Dic6—41no—
768C2×Dic6—41no—
769C2×Dic6—41no—
770C3×C4⋊C4—41no—
771C3×C4⋊C4—41no—
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—22no—
780C3×C22⋊C4—41no—
781C3×C22⋊C4—41no—
782C3×C22⋊C4—41no—
783C3×C22⋊C4—41no—
784C3×C22⋊C4—41no—
785C3×C22⋊C4—41no—
786C3×C22⋊C4—41no—
787C3×C22⋊C4C2×D414yes—
788C3×C42—41no—
789C3×C42—41no—
790#217—22no—
791#217—22no—
792#217—22no—
793#217—22no—
794#217—22no—
795#217—22no—
796#217—22no—
797#217—22no—
798#217—22no—
799#217—22no—
800#217—41no—
801#217—41no—
802#217—41no—
803#217—41no—
804#217—41no—
805#217—41no—
806#217—41no—
807#217—41no—
808#217—41no—
809#217—41no—
810(C2×D3)⋊C4—22no—
811(C2×D3)⋊C4—22no—
812(C2×D3)⋊C4—22no—
813(C2×D3)⋊C4—22no—
814(C2×D3)⋊C4—22no—
815(C2×D3)⋊C4—22no—
816(C2×D3)⋊C4—22no—
817(C2×D3)⋊C4—22no—
818(C2×D3)⋊C4—22no—
819(C2×D3)⋊C4—22no—
820(C2×D3)⋊C4—22no—
821(C2×D3)⋊C4—22no—
822(C2×D3)⋊C4—22no—
823(C2×D3)⋊C4—22no—
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)⋊C4—41no—
832(C2×D3)⋊C4—41no—
833(C2×D3)⋊C4—41no—
834(C2×D3)⋊C4—41no—
835(C2×D3)⋊C4C2×D414yescomplemented
836C4⋊Dic3—22no—
837C4⋊Dic3—22no—
838C4⋊Dic3—41no—
839C4⋊Dic3—41no—
840Dic3⋊C4—22no—
841Dic3⋊C4—22no—
842Dic3⋊C4—22no—
843Dic3⋊C4—22no—
844Dic3⋊C4—22no—
845Dic3⋊C4—41no—
846Dic3⋊C4—41no—
847Dic3⋊C4—41no—
848Dic3⋊C4—41no—
849Dic3⋊C4C2×D414yescomplemented
850C4×Dic3—22no—
851C4×Dic3—22no—
852C4×Dic3—41no—
853C4×Dic3—41no—
854C25—31no—
855C25—31no—
856C25C22×D311yescharacteristic
857C25C22×D311yescharacteristic
858C2×#41—64no—
859C2×#41—64no—
860C2×#41—122no—
861C2×#41—122no—
862C2×#41—122no—
863C2×#41—122no—
864C22×Q8—31no—
865C22×Q8—31no—
866C22×D4—24no—
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—31no—
881C22×D4—31no—
882C22×D4—31no—
883C22×D4—31no—
884C22×D4—31no—
885C22×D4—31no—
886C22×D4—31no—
887C22×D4—42no—
888C22×D4—42no—
889C22×D4—64no—
890C22×D4—64no—
891C22×D4—122no—
892C22×D4—122no—
893C22×D4—122no—
894C22×D4—122no—
895C22×D4C22×D311yescharacteristic
896C22×D4C22×D311yescharacteristic
897C22×D4C22×D311yescharacteristic
898C22×D4C22×D311yescharacteristic
899C23×C4—31no—
900C23×C4—31no—
901C23×C4—31no—
902C23×C4—31no—
903C23×C4—31no—
904C23×C4—31no—
905C23×C4—31no—
906C23×C4—31no—
907C23×C4C22×D311yescharacteristic
908C23×C4C22×D311yescharacteristic
909C23×C4C22×D311yescharacteristic
910C23×C4C22×D311yescharacteristic
911C23×C4C22×D311yescharacteristic
912#124—64no—
913#124—64no—
914#123—64no—
915#123—64no—
916#123—64no—
917#123—64no—
918C22⋊Q8—64no—
919C22⋊Q8—64no—
920C22⋊Q8—122no—
921#121—38no—
922#121—64no—
923#121—64no—
924#121—64no—
925#121—64no—
926#121—122no—
927#121—122no—
928#120—64no—
929#120—64no—
930#120—64no—
931#120—64no—
932#120—64no—
933#120—64no—
934#120—122no—
935#120—122no—
936#120—122no—
937#120—122no—
938#120—122no—
939#120—122no—
940C4×D4—42no—
941C4×D4—42no—
942C4×D4—64no—
943C4×D4—64no—
944C4×D4—64no—
945C4×D4—64no—
946C4×D4—122no—
947C4×D4—122no—
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⋊C4C22×D311yescharacteristic
963C2×C4⋊C4C22×D311yescharacteristic
964C2×C22⋊C4—24no—
965C2×C22⋊C4—24no—
966C2×C22⋊C4—31no—
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—31no—
973C2×C22⋊C4—31no—
974C2×C22⋊C4—31no—
975C2×C22⋊C4—31no—
976C2×C22⋊C4—31no—
977C2×C22⋊C4—31no—
978C2×C22⋊C4—31no—
979C2×C22⋊C4—31no—
980C2×C22⋊C4—31no—
981C2×C22⋊C4—31no—
982C2×C22⋊C4—31no—
983C2×C22⋊C4—31no—
984C2×C22⋊C4—31no—
985C2×C22⋊C4—31no—
986C2×C22⋊C4—31no—
987C2×C22⋊C4—31no—
988C2×C22⋊C4—31no—
989C2×C22⋊C4—31no—
990C2×C22⋊C4—31no—
991C2×C22⋊C4—31no—
992C2×C22⋊C4—31no—
993C2×C22⋊C4—31no—
994C2×C22⋊C4—31no—
995C2×C22⋊C4—31no—
996C2×C22⋊C4—31no—
997C2×C22⋊C4—31no—
998C2×C22⋊C4—31no—
999C2×C22⋊C4—31no—
1000C2×C22⋊C4—31no—
1001C2×C22⋊C4—31no—
1002C2×C22⋊C4—31no—
1003C2×C22⋊C4—31no—
1004C2×C22⋊C4—31no—
1005C2×C22⋊C4—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—64no—
1013C2×C22⋊C4—64no—
1014C2×C22⋊C4—122no—
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×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×C42—31no—
1032C2×C42—31no—
1033C2×C42—31no—
1034C2×C42—31no—
1035C2×C42C22×D311yescharacteristic
1036C2×C42C22×D311yescharacteristic
1037#95—31no—
1038#95—31no—
1039#95—31no—
1040#95—31no—
1041#95—31no—
1042#95—31no—
1043#95—31no—
1044#95—31no—
1045#95—31no—
1046#95—31no—
1047#95—31no—
1048#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#95—31no—
1058#95—31no—
1059#95—31no—
1060#95—31no—
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—21no—
1070C23×C3—21no—
1071C23×C3—21no—
1072C23×C3—21no—
1073C23×C3—21no—
1074C23×C3—21no—
1075C23×C3—21no—
1076C23×C3—21no—
1077C23×C3—21no—
1078C23×C3—21no—
1079C23×C3—21no—
1080C23×C3—21no—
1081C23×C3—21no—
1082C23×C3—21no—
1083C23×C3—21no—
1084C23×C3—21no—
1085C23×C3—21no—
1086C23×C3—21no—
1087C23×C3—21no—
1088C23×C3—21no—
1089C23×C3—21no—
1090C23×C3—21no—
1091C23×C3—21no—
1092C23×C3—21no—
1093C23×C3—21no—
1094C23×C3—21no—
1095C23×C3—44no—
1096C23×C3—44no—
1097C23×C3—44no—
1098C23×C3—44no—
1099C23×C3—44no—
1100C23×C3—44no—
1101C23×C3—82no—
1102C23×C3—82no—
1103C23×C3—82no—
1104C23×C3—82no—
1105C23×C3—82no—
1106C23×C3—82no—
1107C23×C3—82no—
1108C23×C3—82no—
1109C23×C3C22×D412yes—
1110C23×C3C2×#4112yes—
1111C23×C3C2×#4112yes—
1112C23×C3H(5,𝔽2)12yes—
1113C23×C3H(5,𝔽2)12yes—
1114C23×C3C2511yescharacteristic
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—21no—
1134C22×D3—21no—
1135C22×D3—21no—
1136C22×D3—21no—
1137C22×D3—21no—
1138C22×D3—21no—
1139C22×D3—21no—
1140C22×D3—44no—
1141C22×D3—44no—
1142C22×D3—44no—
1143C22×D3—44no—
1144C22×D3—44no—
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×D3H(5,𝔽2)12yes—
1157C3×D4—28no—
1158C3×D4—44no—
1159C3×D4—44no—
1160C3×D4—44no—
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—44no—
1189C2×C3×C4—44no—
1190C2×C3×C4—44no—
1191C2×C3×C4—82no—
1192C2×C3×C4—82no—
1193C2×C3×C4C22×D412yes—
1194C2×C3×C4C22×D412yes—
1195C2×C3×C4C2×#4112yes—
1196#67—28no—
1197#67—28no—
1198#67—44no—
1199#67—44no—
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—82no—
1211#67—82no—
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—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—21no—
1244C2×Dic3—21no—
1245C2×Dic3—44no—
1246C2×Dic3—44no—
1247C2×Dic3C22×D412yes—
1248C2×Dic3C22×D412yes—
1249C2×Dic3H(5,𝔽2)12yes—
1250D12—44no—
1251D12—44no—
1252D12—82no—
1253D12—82no—
1254C4×D3—44no—
1255C4×D3—44no—
1256C4×D3—44no—
1257C4×D3—44no—
1258C4×D3—82no—
1259C4×D3—82no—
1260Dic6—44no—
1261Dic6—44no—
1262C24—22no—
1263C24—22no—
1264C24—22no—
1265C24—22no—
1266C24—22no—
1267C24—22no—
1268C24—31no—
1269C24—31no—
1270C24—31no—
1271C24—31no—
1272C24—41no—
1273C24—41no—
1274C24—41no—
1275C24—41no—
1276C24—41no—
1277C24—41no—
1278C24—41no—
1279C24—41no—
1280C24—62no—
1281C24—62no—
1282C24—62no—
1283C24—62no—
1284C24—62no—
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
1298C24C23×D311yescharacteristic
1299#41—1216no—
1300#41—1216no—
1301C2×Q8—62no—
1302C2×Q8—62no—
1303C2×Q8—62no—
1304C2×Q8—121no—
1305C2×Q8—121no—
1306C2×Q8—121no—
1307C2×D4—22no—
1308C2×D4—22no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—22no—
1312C2×D4—22no—
1313C2×D4—22no—
1314C2×D4—34no—
1315C2×D4—34no—
1316C2×D4—34no—
1317C2×D4—41no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—416no—
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—62no—
1342C2×D4—62no—
1343C2×D4—62no—
1344C2×D4—62no—
1345C2×D4—62no—
1346C2×D4—62no—
1347C2×D4—62no—
1348C2×D4—62no—
1349C2×D4—62no—
1350C2×D4—62no—
1351C2×D4—62no—
1352C2×D4—62no—
1353C2×D4—62no—
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—121no—
1375C2×D4—121no—
1376C2×D4—121no—
1377C2×D4—121no—
1378C2×D4—121no—
1379C2×D4—1216no—
1380C2×D4—1216no—
1381C2×D4#23514yescomplemented
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—22no—
1389C22×C4—31no—
1390C22×C4—31no—
1391C22×C4—31no—
1392C22×C4—34no—
1393C22×C4—31no—
1394C22×C4—31no—
1395C22×C4—31no—
1396C22×C4—31no—
1397C22×C4—31no—
1398C22×C4—31no—
1399C22×C4—31no—
1400C22×C4—31no—
1401C22×C4—31no—
1402C22×C4—41no—
1403C22×C4—41no—
1404C22×C4—41no—
1405C22×C4—41no—
1406C22×C4—41no—
1407C22×C4—41no—
1408C22×C4—41no—
1409C22×C4—41no—
1410C22×C4—62no—
1411C22×C4—62no—
1412C22×C4—62no—
1413C22×C4—62no—
1414C22×C4—62no—
1415C22×C4—62no—
1416C22×C4—62no—
1417C22×C4—62no—
1418C22×C4—62no—
1419C22×C4—121no—
1420C22×C4—121no—
1421C22×C4—121no—
1422C22×C4—121no—
1423C22×C4—121no—
1424C22×C4—121no—
1425C22×C4—121no—
1426C22×C4—121no—
1427C22×C4—121no—
1428C22×C4—121no—
1429C22×C4—121no—
1430C22×C4—121no—
1431C22×C4—121no—
1432C22×C4—121no—
1433C22×C4C23×D311yescharacteristic
1434C22×C4C23×D311yescharacteristic
1435C22×C4C23×D311yescharacteristic
1436C22×C4C23×D311yescharacteristic
1437C22×C4C23×D311yescharacteristic
1438C22×C4C23×D311yescharacteristic
1439C22×C4C23×D311yescharacteristic
1440C22×C4C23×D311yescharacteristic
1441C22×C4C23×D311yescharacteristic
1442C22×C4C23×D311yescharacteristic
1443C4⋊C4—34no—
1444C4⋊C4—41no—
1445C4⋊C4—41no—
1446C4⋊C4—62no—
1447C4⋊C4—62no—
1448C4⋊C4—62no—
1449C4⋊C4—62no—
1450C4⋊C4—62no—
1451C4⋊C4—62no—
1452C4⋊C4—62no—
1453C4⋊C4—121no—
1454C4⋊C4—121no—
1455C4⋊C4—121no—
1456C4⋊C4—121no—
1457C4⋊C4—121no—
1458C4⋊C4—121no—
1459C22⋊C4—22no—
1460C22⋊C4—22no—
1461C22⋊C4—22no—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—22no—
1466C22⋊C4—22no—
1467C22⋊C4—34no—
1468C22⋊C4—41no—
1469C22⋊C4—41no—
1470C22⋊C4—41no—
1471C22⋊C4—41no—
1472C22⋊C4—41no—
1473C22⋊C4—41no—
1474C22⋊C4—41no—
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—62no—
1498C22⋊C4—62no—
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—
1520C22⋊C4D3×D414yes—
1521C42—41no—
1522C42—41no—
1523C42—62no—
1524C42—62no—
1525C42—121no—
1526C42—121no—
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—22no—
1539C22×C3—22no—
1540C22×C3—22no—
1541C22×C3—22no—
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—41no—
1555C22×C3—41no—
1556C22×C3—41no—
1557C22×C3—41no—
1558C22×C3—41no—
1559C22×C3—41no—
1560C22×C3—41no—
1561C22×C3—41no—
1562C22×C3—88no—
1563C22×C3—88no—
1564C22×C3C23×D411yescharacteristic
1565C22×C3C22×#4111yescharacteristic
1566C22×C3C2×H(5,𝔽2)11yescharacteristic
1567C22×C3C2×H(5,𝔽2)11yescharacteristic
1568C22×C3C2×H(5,𝔽2)11yescharacteristic
1569C22×C3C2×H(5,𝔽2)11yescharacteristic
1570C22×C3#58511yescharacteristic
1571C2×D3—22no—
1572C2×D3—22no—
1573C2×D3—22no—
1574C2×D3—22no—
1575C2×D3—22no—
1576C2×D3—22no—
1577C2×D3—22no—
1578C2×D3—22no—
1579C2×D3—22no—
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—41no—
1598C2×D3—41no—
1599C2×D3—88no—
1600C2×D3—88no—
1601C3×C4—22no—
1602C3×C4—22no—
1603C3×C4—22no—
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—
1622Dic3—41no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
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—21no—
1647C23—21no—
1648C23—21no—
1649C23—21no—
1650C23—21no—
1651C23—21no—
1652C23—21no—
1653C23—32no—
1654C23—32no—
1655C23—32no—
1656C23—44no—
1657C23—44no—
1658C23—44no—
1659C23—44no—
1660C23—44no—
1661C23—44no—
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—82no—
1688C23—82no—
1689C23—82no—
1690C23—82no—
1691C23—82no—
1692C23—82no—
1693C23—82no—
1694C23—82no—
1695C23—124no—
1696C23—124no—
1697C23—124no—
1698C23—124no—
1699C23—124no—
1700C23—242no—
1701C23—242no—
1702C23—242no—
1703C23—242no—
1704C23—242no—
1705C23—242no—
1706C23—242no—
1707C23—242no—
1708C23—242no—
1709C23C2×#23512yes—
1710C23C2×#23512yes—
1711C23C2×D3×D412yes—
1712C23#100412yes—
1713C23#100412yes—
1714C23C24×D311yescharacteristic
1715Q8—124no—
1716Q8—124no—
1717D4—28no—
1718D4—44no—
1719D4—44no—
1720D4—44no—
1721D4—68no—
1722D4—68no—
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—124no—
1737D4—242no—
1738D4—242no—
1739D4—242no—
1740D4—242no—
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—32no—
1769C2×C4—32no—
1770C2×C4—32no—
1771C2×C4—44no—
1772C2×C4—44no—
1773C2×C4—44no—
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—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—82no—
1808C2×C4—82no—
1809C2×C4—124no—
1810C2×C4—124no—
1811C2×C4—124no—
1812C2×C4—124no—
1813C2×C4—124no—
1814C2×C4—124no—
1815C2×C4—242no—
1816C2×C4—242no—
1817C2×C4C2×#23512yes—
1818C2×C4C2×D3×D412yes—
1819C2×C4C2×D3×D412yes—
1820C2×C3—42no—
1821C2×C3—42no—
1822C2×C3—42no—
1823C2×C3—42no—
1824C2×C3—42no—
1825C2×C3D4×#4111yescharacteristic
1826C2×C3#348411yescharacteristic
1827C2×C3#348411yescharacteristic
1828C2×C3#349011yescharacteristic
1829C2×C3#351911yescharacteristic
1830C2×C3#353411yescharacteristic
1831C2×C3#355811yescharacteristic
1832D3—42no—
1833D3—42no—
1834D3—42no—
1835D3—81no—
1836C22—22no—
1837C22—22no—
1838C22—22no—
1839C22—22no—
1840C22—22no—
1841C22—22no—
1842C22—22no—
1843C22—22no—
1844C22—22no—
1845C22—22no—
1846C22—22no—
1847C22—22no—
1848C22—22no—
1849C22—22no—
1850C22—22no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—41no—
1863C22—41no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—41no—
1868C22—41no—
1869C22—41no—
1870C22—41no—
1871C22—62no—
1872C22—62no—
1873C22—62no—
1874C22—62no—
1875C22—62no—
1876C22—62no—
1877C22—62no—
1878C22—62no—
1879C22—62no—
1880C22—88no—
1881C22—88no—
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—121no—
1898C22—121no—
1899C22—121no—
1900C22—121no—
1901C22—248no—
1902C22—248no—
1903C22C22×#23511yescharacteristic
1904C22C22×D3×D411yescharacteristic
1905C22C2×#100411yescharacteristic
1906C22C2×#100411yescharacteristic
1907C22#596411yescharacteristic
1908C22D3×H(5,𝔽2)11yescharacteristic
1909C22D3×H(5,𝔽2)11yescharacteristic
1910C4—22no—
1911C4—22no—
1912C4—22no—
1913C4—41no—
1914C4—41no—
1915C4—41no—
1916C4—41no—
1917C4—41no—
1918C4—41no—
1919C4—41no—
1920C4—62no—
1921C4—62no—
1922C4—62no—
1923C4—121no—
1924C4—121no—
1925C4—121no—
1926C4—121no—
1927C4—121no—
1928C4—121no—
1929C4—121no—
1930C4—121no—
1931C4—121no—
1932C3#4311811yescharacteristic, complemented, Sylow
1933C2—42no—
1934C2—42no—
1935C2—42no—
1936C2—42no—
1937C2—42no—
1938C2—122no—
1939C2—122no—
1940C2—122no—
1941C2—241no—
1942C2#8569711yescharacteristic
1943C2D4×#23511yescharacteristic
1944C2#8587111yescharacteristic
1945C2#8662011yescharacteristic
1946C2#8662011yescharacteristic
1947C2#8665511yescharacteristic
1948C2#8666911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×D4×C22⋊C4C2
hypercenterD4×C22⋊C4D3
hypocenterC3#43118
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ D4×C22⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×#5490C2semidirect
2. C2×#5490C2semidirect
3. C3×D4×C22⋊C4C2semidirect
4. #84052C2semidirect
5. #84052C2semidirect
6. #82413C2semidirect
7. #82402C2semidirect
8. #82400C2semidirect
9. #82364C2semidirect
10. #82128C2semidirect
11. #82111C2semidirect
12. #76464C2semidirect
13. #76432C2semidirect
14. #76429C2semidirect
15. #76382C2semidirect
16. #74911C2semidirect
17. #74903C2semidirect
18. #74900C2semidirect
19. #74894C2semidirect
20. #74886C2semidirect
21. #74886C2semidirect
22. #74807C2semidirect
23. #74713C2semidirect
24. #74042C2semidirect
25. #74037C2semidirect
26. #73859C2semidirect
27. #73854C2semidirect
28. #73840C2semidirect
29. #73824C2semidirect
30. #73602C2semidirect
31. #73570C2semidirect
34. C23×#67C22semidirect
35. C23×#67C22semidirect
36. C22×#235C22semidirect
37. C22×#235C22semidirect
38. C2×C3×C4×D4C22semidirect
39. C2×C3×C4×D4C22semidirect
40. C22×C3×C22⋊C4C22semidirect
41. C22×C3×C22⋊C4C22semidirect
48. C2×#937C22semidirect
49. C2×#937C22semidirect
50. C2×#930C22semidirect
51. C2×#930C22semidirect
52. C2×#929C22semidirect
53. C2×#929C22semidirect
54. C2×C4×#67C22semidirect
55. C2×C4×#67C22semidirect
56. C2×C4×#67C22semidirect
57. C2×#924C22semidirect
58. C2×#885C22semidirect
59. C2×#885C22semidirect
65. C2×#884C22semidirect
66. C2×#884C22semidirect
67. C2×#883C22semidirect
68. C2×#883C22semidirect
69. C2×#882C22semidirect
70. C2×#882C22semidirect
71. C2×#882C22semidirect
72. C2×#882C22semidirect
73. C2×#67⋊C4C22semidirect
74. C2×#67⋊C4C22semidirect
75. C2×#67⋊C4C22semidirect
76. C2×D3×C22⋊C4C22semidirect
77. C2×D3×C22⋊C4C22semidirect
78. C2×D3×C22⋊C4C22semidirect
79. C2×#878C22semidirect
80. C2×#878C22semidirect
83. C3×#386C22semidirect
84. C3×#386C22semidirect
85. C3×#386C22semidirect
86. C3×#386C22semidirect
87. C3×#380C22semidirect
88. C3×#379C22semidirect
89. C3×#379C22semidirect
90. C3×C4×C22⋊C4C22semidirect
91. #5247C22semidirect
92. #5247C22semidirect
97. #5223C22semidirect
98. #5223C22semidirect
99. #5223C22semidirect
100. #5223C22semidirect
103. #5220C22semidirect
104. #5220C22semidirect
105. #5213C22semidirect
106. #5213C22semidirect
107. #5213C22semidirect
108. #5213C22semidirect
109. #5213C22semidirect
110. #5213C22semidirect
111. #5213C22semidirect
112. #5212C22semidirect
113. #5210C22semidirect
114. C4×#217C22semidirect
115. #4991C22semidirect
116. #4991C22semidirect
117. #4990C22semidirect
118. #4989C22semidirect
119. #4989C22semidirect
120. #4989C22semidirect
121. #4982C22semidirect
122. #4979C22semidirect
123. #4961C22semidirect
124. #4961C22semidirect
125. #4961C22semidirect
126. #4961C22semidirect
128. #4960C22semidirect
129. #4960C22semidirect
130. #4959C22semidirect
131. #4959C22semidirect
132. #4959C22semidirect
133. #4959C22semidirect
134. #4959C22semidirect
135. #4959C22semidirect
136. #4958C22semidirect
137. #4957C22semidirect
138. #4957C22semidirect
139. #4957C22semidirect
140. #4956C22semidirect
141. #4956C22semidirect
142. #4956C22semidirect
143. #4956C22semidirect
144. #4956C22semidirect
145. #4956C22semidirect
146. #4956C22semidirect
147. #4955C22semidirect
148. #4953C22semidirect
149. #4952C22semidirect
150. #4952C22semidirect
151. #4951C22semidirect
152. #4951C22semidirect
153. #4951C22semidirect
154. #4949C22semidirect
155. #4948C22semidirect
156. #4948C22semidirect
157. #4947C22semidirect
158. #4947C22semidirect
159. #4947C22semidirect
160. #4946C22semidirect
161. #4945C22semidirect
162. #4945C22semidirect
163. #4944C22semidirect
164. #4944C22semidirect
165. #4942C22semidirect
166. #4940C22semidirect
167. #4939C22semidirect
168. #4939C22semidirect
169. C4×(C2×D3)⋊C4C22semidirect
170. C4×(C2×D3)⋊C4C22semidirect
171. C4×(C2×D3)⋊C4C22semidirect
172. #4933C22semidirect
173. #4929C22semidirect
174. #4675C22semidirect
175. #4674C22semidirect
176. #4673C22semidirect
177. #4673C22semidirect
178. #4672C22semidirect
179. #4669C22semidirect
180. #4668C22semidirect
181. #4665C22semidirect
182. #4665C22semidirect
183. #4665C22semidirect
184. #4664C22semidirect
185. #4664C22semidirect
186. #4658C22semidirect
187. #4655C22semidirect
188. #4653C22semidirect
189. #4652C22semidirect
218. D4×C22⋊C4D3semidirect
389. #884D4semidirect
473. C2×C4×D4C2×D3semidirect
474. C2×C4×D4C2×D3semidirect
478. C22×C22⋊C4C2×D3semidirect
479. C22×C22⋊C4C2×D3semidirect
564. #386C2×D3semidirect
565. #386C2×D3semidirect
566. #386C2×D3semidirect
567. #386C2×D3semidirect
578. #380C2×D3semidirect
582. #379C2×D3semidirect
583. #379C2×D3semidirect
588. C4×C22⋊C4C2×D3semidirect
638. C2×C3×D4#41semidirect
745. C2×D12C2×D4semidirect
763. C2×C4×D3C2×D4semidirect
835. (C2×D3)⋊C4C2×D4semidirect
849. Dic3⋊C4C2×D4semidirect
1381. C2×D4#235semidirect
1932. C3#43118semidirect

Maximal subgroups

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

subgroupindex
C2×#54902
C3×D4×C22⋊C42
#840522
#824132
#824022
#824002
#823642
#821282
#821112
#764642
#764322
#764292
#763822
#749112
#749032
#749002
#748942
#748862
#748072
#747132
#740422
#740372
#738592
#738542
#738402
#738242
#736022
#735702
#431183