Finite Group Databasebeta

← #11635226

Subgroups — #11635226

Order 768.

2968 conjugacy classes of subgroups.

The subgroup lattice has 1860 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5596C211yesmaximal, characteristic, complemented
2C2×#5591C211yesmaximal, characteristic, complemented
3C3×#2678C211yesmaximal, characteristic, complemented
4#82907C211yesmaximal, characteristic, complemented
5Dic3×#123C211yesmaximal, characteristic, complemented
6#82688C211yesmaximal, characteristic, complemented
7#82588C211yesmaximal, characteristic, complemented
8#82581C211yesmaximal, characteristic, complemented
9#82579C211yesmaximal, characteristic, complemented
10#77516C211yesmaximal, characteristic, complemented
11#77468C211yesmaximal, characteristic, complemented
12#77293C211yesmaximal, characteristic, complemented
13#77290C211yesmaximal, characteristic, complemented
14#76945C211yesmaximal, characteristic, complemented
15#76925C211yesmaximal, characteristic, complemented
16#76909C211yesmaximal, characteristic, complemented
17#76902C211yesmaximal, characteristic, complemented
18#76754C211yesmaximal, characteristic, complemented
19#76672C211yesmaximal, characteristic, complemented
20#76670C211yesmaximal, characteristic, complemented
21#76668C211yesmaximal, characteristic, complemented
22#76435C211yesmaximal, characteristic, complemented
23#76357C211yesmaximal, characteristic, complemented
24#76306C211yesmaximal, characteristic, complemented
25#76305C211yesmaximal, characteristic, complemented
26#75836C211yesmaximal, characteristic, complemented
27#75547C211yesmaximal, characteristic, complemented
28#74798C211yesmaximal, characteristic, complemented
29#74658C211yesmaximal, characteristic, complemented
30#73850C211yesmaximal, characteristic, complemented
31#73829C211yesmaximal, characteristic, complemented
32#59099—31nomaximal, Sylow
33C23×#67C2211yescharacteristic
34C22×#237C2211yescharacteristic
35C22×#237C2211yescharacteristic, complemented
36C22×#237C2211yescharacteristic, complemented
37C2×C3×#123C2211yescharacteristic
38C2×C3×#121C2211yescharacteristic, complemented
39C2×C3×#120C2211yescharacteristic
40C2×C3×#120C2211yescharacteristic
41C2×#953C2211yescharacteristic
42C22×#217C2211yescharacteristic
43C22×#217C2211yescharacteristic
44C2×#940C2211yescharacteristic
45C2×#940C2211yescharacteristic
46C2×#939C2211yescharacteristic
47C2×#939C2211yescharacteristic
48C2×#939C2211yescharacteristic
49C2×#939C2211yescharacteristic, complemented
50C2×#938C2211yescharacteristic
51C2×#937C2211yescharacteristic
52C2×#937C2211yescharacteristic
53C2×D4×Dic3C2211yescharacteristic
54C2×D4×Dic3C2211yescharacteristic, complemented
55C2×D4×Dic3C2211yescharacteristic, complemented
56C2×#930C2211yescharacteristic, complemented
57C22×C4×Dic3C2211yescharacteristic, complemented
58#5596—28no—
59#5591—28no—
60C2×#897C2211yescharacteristic, complemented
61C2×#893C2211yescharacteristic, complemented
62C2×#888C2211yescharacteristic, complemented
63C2×#886C2211yescharacteristic
64C2×#885C2211yescharacteristic
65C2×#885C2211yescharacteristic, complemented
66C2×#885C2211yescharacteristic, complemented
67C2×#885C2211yescharacteristic, complemented
68C2×#883C2211yescharacteristic
69C2×#882C2211yescharacteristic
70C2×#67⋊C4C2211yescharacteristic
71C2×#67⋊C4C2211yescharacteristic
72C2×#67⋊C4C2211yescharacteristic
73C2×#67⋊C4C2211yescharacteristic, complemented
74C2×D3×C22⋊C4C2211yescharacteristic
75C2×D3×C22⋊C4C2211yescharacteristic
76C2×#878C2211yescharacteristic
77C2×#878C2211yescharacteristic, complemented
78C2×#877C2211yescharacteristic, complemented
79C2×C4×D12C2211yescharacteristic, complemented
80C3×#397C2211yescharacteristic, complemented
81C3×#396C2211yescharacteristic, complemented
82C3×#394C2211yescharacteristic
83C3×#394C2211yescharacteristic, complemented
84C3×#392C2211yescharacteristic
85C3×#392C2211yescharacteristic, complemented
86C3×#390C2211yescharacteristic, complemented
87C3×#390C2211yescharacteristic, complemented
88C3×#388C2211yescharacteristic
89C3×#386C2211yescharacteristic, complemented
90C3×#379C2211yescharacteristic
91#5223C2211yescharacteristic
92#5223C2211yescharacteristic
93#5223C2211yescharacteristic
94#5223C2211yescharacteristic, complemented
95#5223C2211yescharacteristic, complemented
96#5222C2211yescharacteristic, complemented
97#5221C2211yescharacteristic
98#5220C2211yescharacteristic
99#5220C2211yescharacteristic
100#5220C2211yescharacteristic, complemented
101#5220C2211yescharacteristic, complemented
102#5220C2211yescharacteristic, complemented
103#5220C2211yescharacteristic, complemented
104#5213C2211yescharacteristic, complemented
105#5211C2211yescharacteristic, complemented
106#4994C2211yescharacteristic, complemented
107#4992C2211yescharacteristic, complemented
108#4991C2211yescharacteristic, complemented
109#4990C2211yescharacteristic, complemented
110#4989C2211yescharacteristic, complemented
111#4988C2211yescharacteristic, complemented
112#4987C2211yescharacteristic, complemented
113#4986C2211yescharacteristic, complemented
114#4980C2211yescharacteristic, complemented
115#4980C2211yescharacteristic, complemented
116#4976C2211yescharacteristic, complemented
117Dic3×C4⋊C4C2211yescharacteristic, complemented
118Dic3×C4⋊C4C2211yescharacteristic, complemented
119#4961C2211yescharacteristic, complemented
120#4961C2211yescharacteristic, complemented
121#4961C2211yescharacteristic, complemented
122#4960C2211yescharacteristic
123#4960C2211yescharacteristic
124#4960C2211yescharacteristic, complemented
125#4959C2211yescharacteristic
126#4958C2211yescharacteristic
127#4958C2211yescharacteristic
128#4958C2211yescharacteristic, complemented
129#4958C2211yescharacteristic, complemented
130#4958C2211yescharacteristic, complemented
131#4958C2211yescharacteristic, complemented
132#4958C2211yescharacteristic, complemented
133#4957C2211yescharacteristic
134#4957C2211yescharacteristic
135#4957C2211yescharacteristic
136#4957C2211yescharacteristic
137#4957C2211yescharacteristic
138#4957C2211yescharacteristic, complemented
139#4957C2211yescharacteristic, complemented
140#4956C2211yescharacteristic
141#4956C2211yescharacteristic
142#4956C2211yescharacteristic
143#4956C2211yescharacteristic, complemented
144#4956C2211yescharacteristic, complemented
145#4956C2211yescharacteristic, complemented
146#4956C2211yescharacteristic, complemented
147#4956C2211yescharacteristic, complemented
148#4955C2211yescharacteristic
149#4953C2211yescharacteristic, complemented
150#4952C2211yescharacteristic, complemented
151#4951C2211yescharacteristic
152#4951C2211yescharacteristic
153#4951C2211yescharacteristic
154#4951C2211yescharacteristic, complemented
155#4950C2211yescharacteristic, complemented
156#4950C2211yescharacteristic, complemented
157#4950C2211yescharacteristic, complemented
158#4947C2211yescharacteristic
159#4947C2211yescharacteristic
160#4947C2211yescharacteristic, complemented
161#4944C2211yescharacteristic, complemented
162#4943C2211yescharacteristic, complemented
163#4942C2211yescharacteristic
164#4942C2211yescharacteristic, complemented
165Dic3×C22⋊C4C2211yescharacteristic
166Dic3×C22⋊C4C2211yescharacteristic
167Dic3×C22⋊C4C2211yescharacteristic, complemented
168Dic3×C22⋊C4C2211yescharacteristic, complemented
169Dic3×C22⋊C4C2211yescharacteristic, complemented
170Dic3×C22⋊C4C2211yescharacteristic, complemented
171C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
172C4×Dic3⋊C4C2211yescharacteristic, complemented
173#4929C2211yescharacteristic, complemented
174#4675C2211yescharacteristic, complemented
175#4674C2211yescharacteristic, complemented
176#4673C2211yescharacteristic, complemented
177#4670C2211yescharacteristic, complemented
178#4668C2211yescharacteristic, complemented
179#4666C2211yescharacteristic, complemented
180#4666C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183#4664C2211yescharacteristic, complemented
184#4660C2211yescharacteristic, complemented
185#4647C2211yescharacteristic, complemented
186#4646C2211yescharacteristic, complemented
187#4646C2211yescharacteristic, complemented
188#4646C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×#532—31no—
192#2688—31no—
193#2688—31no—
194#2678—31no—
195#2678D311yescharacteristic, complemented
196#2557—31no—
197#2557—31no—
198#2544—31no—
199#2492—31no—
200#2472—31no—
201#2472—31no—
202#2457—31no—
203#2457—31no—
204#2452—31no—
205#2447—31no—
206#2433—31no—
207#2431—31no—
208#2427—31no—
209#2414—31no—
210#2407—31no—
211#2407—31no—
212#2404—31no—
213#2404—31no—
214#2366—31no—
215#2363—31no—
216#2358—31no—
217#2358—31no—
218D4×C22⋊C4—31no—
219C4×#123—31no—
220#2297—31no—
221C25×C3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C22×#67—24no—
232C22×#67—24no—
233C22×#67—42no—
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C23×Dic3C2311yescharacteristic
248C23×Dic3C2311yescharacteristic
249C23×Dic3C2311yescharacteristic
250C23×Dic3C2311yescharacteristic
251C23×Dic3C2311yescharacteristic
252C23×Dic3C2311yescharacteristic
253C23×Dic3C2311yescharacteristic
254C23×Dic3C2311yescharacteristic
255C2×#237—24no—
256C2×#237—24no—
257C2×#237—24no—
258C2×#237—24no—
259C2×#237—42no—
260C2×#237—42no—
261C2×#237—42no—
262C2×#237—42no—
263C2×#237—42no—
264C22×D12C2311yescharacteristic
265C22×D12C2311yescharacteristic
266C22×C4×D3C2311yescharacteristic
267C22×C4×D3C2311yescharacteristic
268C22×C4×D3C2311yescharacteristic
269C22×C4×D3C2311yescharacteristic
270C22×C4×D3C2311yescharacteristic
271C22×Dic6C2311yescharacteristic
272C22×Dic6C2311yescharacteristic
273C22×Dic6C2311yescharacteristic
274C3×#123—24no—
275C3×#121—24no—
276C3×#120—24no—
277C3×#120—24no—
278C2×C3×C4⋊C4C2311yescharacteristic
279C2×C3×C4⋊C4C2311yescharacteristic
280C2×C3×C4⋊C4C2311yescharacteristic
281C2×C3×C4⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×C3×C22⋊C4C2311yescharacteristic
295C2×C3×C22⋊C4C2311yescharacteristic
296C2×C3×C22⋊C4C2311yescharacteristic
297C2×C3×C22⋊C4C2311yescharacteristic
298C2×C3×C22⋊C4C2311yescharacteristic
299C2×C3×C42C2311yescharacteristic
300#953—42no—
301C2×#217—24no—
302C2×#217—42no—
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
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
321#940—24no—
322#940—24no—
323#939—24no—
324#939—24no—
325#939—42no—
326#939D418yescomplemented
327#938—24no—
328#937—24no—
329#937—42no—
330D4×Dic3—24no—
331D4×Dic3—24no—
332D4×Dic3—42no—
333#930—24no—
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×C4⋊Dic3C2311yescharacteristic
356C2×C4⋊Dic3C2311yescharacteristic
357C2×C4⋊Dic3C2311yescharacteristic
358C2×C4⋊Dic3C2311yescharacteristic
359C2×C4⋊Dic3C2311yescharacteristic
360C2×C4⋊Dic3C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×C4×Dic3—24no—
369C2×C4×Dic3C2311yescharacteristic
370C2×C4×Dic3C2311yescharacteristic
371C2×C4×Dic3C2311yescharacteristic
372C2×C4×Dic3C2311yescharacteristic
373C2×C4×Dic3C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375C2×C4×Dic3C2311yescharacteristic
376C2×C4×Dic3C2311yescharacteristic
377C2×C4×Dic3C2311yescharacteristic
378C2×C4×Dic3C2311yescharacteristic
379#897—42no—
380#893—24no—
381#888—24no—
382#886—24no—
383#885—24no—
384#885—24no—
385#885—24no—
386#885—42no—
387#883—24no—
388#882—24no—
389#67⋊C4—24no—
390#67⋊C4—24no—
391#67⋊C4—24no—
392#67⋊C4—42no—
393D3×C22⋊C4—24no—
394D3×C22⋊C4—42no—
395#878—24no—
396#878—42no—
397#877—42no—
398C4×D12—42no—
399C3×#95C2311yescharacteristic
400C3×#95C2311yescharacteristic
401C3×#95C2311yescharacteristic
402C3×#95C2311yescharacteristic
403C3⋊#95C2311yescharacteristic
404C3⋊#95C2311yescharacteristic
405C3⋊#95C2311yescharacteristic
406C3⋊#95C2311yescharacteristic
407C3⋊#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C3⋊#95C2311yescharacteristic
427C3⋊#95C2311yescharacteristic
428C3⋊#95C2311yescharacteristic
429C22×#41—31no—
430C22×#41—31no—
431C22×#41—31no—
432C23×D4—31no—
433#546—68no—
434#532—68no—
435C2×C4⋊Q8—31no—
436C2×#127—31no—
437C2×#127—31no—
438C2×#124—31no—
439C2×#124—31no—
440C2×#124—31no—
441C2×#124—31no—
442C2×#123—31no—
443C2×#123—31no—
444C2×#123C2×D311yescharacteristic
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×#121C2×D311yescharacteristic, complemented
455C2×#120—31no—
456C2×#120—31no—
457C2×#120—31no—
458C2×#120—31no—
459C2×#120C2×D311yescharacteristic
460C2×#120C2×D311yescharacteristic
461C2×C4×D4—31no—
462C2×C4×D4—31no—
463C2×C4×D4—31no—
464C2×C4×D4—31no—
465C2×C4×D4—31no—
466C2×C4×D4—31no—
467C2×C4×D4—31no—
468C2×C4×D4—31no—
469C2×C4×D4—31no—
470C2×#117—31no—
471C22×C22⋊C4—31no—
472C22×C22⋊C4—31no—
473C22×C22⋊C4—31no—
474C22×C22⋊C4—31no—
475C22×C42—31no—
476#400—31no—
477#400—31no—
478#397—31no—
479#397—31no—
480#397—31no—
481#397—31no—
482#397—31no—
483#397C2×D311yescharacteristic, complemented
484#396—31no—
485#396C2×D311yescharacteristic, complemented
486#394—31no—
487#394—31no—
488#394—31no—
489#394—31no—
490#394—31no—
491#394—31no—
492#394C2×D311yescharacteristic
493#394C2×D311yescharacteristic, complemented
494#393—31no—
495#393—31no—
496#393—31no—
497#393—31no—
498#392—31no—
499#392—31no—
500#392—31no—
501#392—31no—
502#392—31no—
503#392—31no—
504#392—31no—
505#392—31no—
506#392C2×D311yescharacteristic
507#392C2×D311yescharacteristic, complemented
508#391—31no—
509#391—31no—
510#391—31no—
511#391—31no—
512#391—31no—
513#390—31no—
514#390—31no—
515#390—31no—
516#390—31no—
517#390—31no—
518#390—31no—
519#390—31no—
520#390—31no—
521#390—31no—
522#390C2×D311yescharacteristic, complemented
523#390C2×D311yescharacteristic, complemented
524#389—31no—
525#389—31no—
526#388—31no—
527#388—31no—
528#388—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388C2×D311yescharacteristic
534#387—31no—
535#387—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—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#386—31no—
559#386—31no—
560#386C2×D311yescharacteristic, complemented
561#385—31no—
562#385—31no—
563#385—31no—
564#385—31no—
565#385—31no—
566#381—31no—
567#381—31no—
568#381—31no—
569#380—31no—
570#380—31no—
571#380—31no—
572#379—31no—
573#379C2×D311yescharacteristic
574C4×C4⋊C4—31no—
575C4×C4⋊C4—31no—
576C4×C4⋊C4—31no—
577C4×C22⋊C4—31no—
578C4×C22⋊C4—31no—
579C4×C22⋊C4—31no—
580C4×C22⋊C4—31no—
581C4×C22⋊C4—31no—
582C4×C22⋊C4—31no—
583C4×C22⋊C4—31no—
584C4×C22⋊C4—31no—
585C4×C22⋊C4—31no—
586C24×C3—22no—
587C24×C3—22no—
588C24×C3—22no—
589C24×C3—41no—
590C24×C3—41no—
591C24×C3—41no—
592C24×C3—41no—
593C24×C3C2411yescharacteristic
594C24×C3C2411yescharacteristic
595C24×C3C2411yescharacteristic
596C24×C3C2411yescharacteristic
597C24×C3C2411yescharacteristic
598C23×D3—22no—
599C23×D3—22no—
600C23×D3—22no—
601C23×D3—41no—
602C23×D3—41no—
603C23×D3—41no—
604C23×D3—41no—
605C23×D3C2411yescharacteristic
606C23×D3C2411yescharacteristic
607C23×D3C2411yescharacteristic
608C2×C3×D4—22no—
609C2×C3×D4—22no—
610C2×C3×D4—22no—
611C2×C3×D4—22no—
612C2×C3×D4—22no—
613C2×C3×D4—22no—
614C2×C3×D4—22no—
615C2×C3×D4—22no—
616C2×C3×D4—22no—
617C2×C3×D4—22no—
618C2×C3×D4—41no—
619C2×C3×D4—41no—
620C2×C3×D4—41no—
621C2×C3×D4—41no—
622C2×C3×D4—41no—
623C2×C3×D4—41no—
624C2×C3×D4—41no—
625C2×C3×D4—41no—
626C2×C3×D4—41no—
627C2×C3×D4—41no—
628C2×C3×D4C2×D414yes—
629C22×C3×C4—22no—
630C22×C3×C4—22no—
631C22×C3×C4—41no—
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C22×C3×C4C2411yescharacteristic
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
637C22×C3×C4C2411yescharacteristic
638C22×C3×C4C2411yescharacteristic
639C22×C3×C4C2411yescharacteristic
640C22×C3×C4C2411yescharacteristic
641C22×C3×C4C2411yescharacteristic
642C2×#67—22no—
643C2×#67—22no—
644C2×#67—22no—
645C2×#67—22no—
646C2×#67—22no—
647C2×#67—22no—
648C2×#67—22no—
649C2×#67—22no—
650C2×#67—22no—
651C2×#67—22no—
652C2×#67—22no—
653C2×#67—22no—
654C2×#67—22no—
655C2×#67—22no—
656C2×#67—22no—
657C2×#67—22no—
658C2×#67—22no—
659C2×#67—22no—
660C2×#67—22no—
661C2×#67—22no—
662C2×#67—22no—
663C2×#67—41no—
664C2×#67—41no—
665C2×#67—41no—
666C2×#67—41no—
667C2×#67—41no—
668C2×#67—41no—
669C2×#67—41no—
670C2×#67—41no—
671C2×#67—41no—
672C2×#67—41no—
673C2×#67—41no—
674C2×#67—41no—
675C2×#67—41no—
676C2×#67—41no—
677C2×#67—41no—
678C2×#67—416no—
679C2×#67C2×D414yes—
680C2×#67C2×D414yes—
681C2×#67#4114yescomplemented
682C22×Dic3—22no—
683C22×Dic3—22no—
684C22×Dic3—22no—
685C22×Dic3—22no—
686C22×Dic3—22no—
687C22×Dic3—22no—
688C22×Dic3—22no—
689C22×Dic3—22no—
690C22×Dic3—22no—
691C22×Dic3—22no—
692C22×Dic3—22no—
693C22×Dic3—22no—
694C22×Dic3—22no—
695C22×Dic3—22no—
696C22×Dic3—22no—
697C22×Dic3—41no—
698C22×Dic3—41no—
699C22×Dic3—41no—
700C22×Dic3—41no—
701C22×Dic3—41no—
702C22×Dic3—41no—
703C22×Dic3—41no—
704C22×Dic3—41no—
705C22×Dic3C2×D414yes—
706C22×Dic3C2411yescharacteristic
707C22×Dic3C2411yescharacteristic
708C22×Dic3C2411yescharacteristic
709C22×Dic3C2411yescharacteristic
710C22×Dic3C2411yescharacteristic
711C22×Dic3C2411yescharacteristic
712C22×Dic3C2411yescharacteristic
713C22×Dic3C2411yescharacteristic
714C22×Dic3C2411yescharacteristic
715C22×Dic3C2411yescharacteristic
716C22×Dic3C2411yescharacteristic
717C22×Dic3C2411yescharacteristic
718C22×Dic3C2411yescharacteristic
719#237—416no—
720#237—416no—
721#237—416no—
722C2×D12—22no—
723C2×D12—22no—
724C2×D12—22no—
725C2×D12—22no—
726C2×D12—41no—
727C2×D12—41no—
728C2×C4×D3—22no—
729C2×C4×D3—22no—
730C2×C4×D3—22no—
731C2×C4×D3—22no—
732C2×C4×D3—22no—
733C2×C4×D3—22no—
734C2×C4×D3—22no—
735C2×C4×D3—41no—
736C2×C4×D3—41no—
737C2×C4×D3—41no—
738C2×C4×D3—41no—
739C2×C4×D3—41no—
740C2×C4×D3—41no—
741C2×C4×D3—41no—
742C2×C4×D3—41no—
743C2×Dic6—22no—
744C2×Dic6—22no—
745C2×Dic6—22no—
746C2×Dic6—22no—
747C2×Dic6—22no—
748C2×Dic6—22no—
749C2×Dic6—22no—
750C2×Dic6—41no—
751C2×Dic6—41no—
752C3×C4⋊C4—22no—
753C3×C4⋊C4—22no—
754C3×C4⋊C4—22no—
755C3×C4⋊C4—41no—
756C3×C22⋊C4—22no—
757C3×C22⋊C4—22no—
758C3×C22⋊C4—22no—
759C3×C22⋊C4—22no—
760C3×C22⋊C4—22no—
761C3×C22⋊C4—22no—
762C3×C22⋊C4—22no—
763C3×C22⋊C4—22no—
764C3×C22⋊C4—22no—
765C3×C22⋊C4—41no—
766C3×C22⋊C4—41no—
767C3×C22⋊C4—41no—
768C3×C22⋊C4—41no—
769C3×C22⋊C4—41no—
770C3×C22⋊C4—41no—
771C3×C22⋊C4—41no—
772C3×C22⋊C4#4114yescomplemented
773C3×C42—41no—
774#217—22no—
775#217—22no—
776#217—22no—
777#217—22no—
778#217—22no—
779#217—22no—
780#217—22no—
781#217—22no—
782#217—22no—
783#217—41no—
784#217—41no—
785#217—41no—
786#217—41no—
787#217—41no—
788#217—41no—
789#217—41no—
790#217—41no—
791#217C2×D414yes—
792(C2×D3)⋊C4—22no—
793(C2×D3)⋊C4—22no—
794(C2×D3)⋊C4—22no—
795(C2×D3)⋊C4—22no—
796(C2×D3)⋊C4—22no—
797(C2×D3)⋊C4—22no—
798(C2×D3)⋊C4—22no—
799(C2×D3)⋊C4—22no—
800(C2×D3)⋊C4—22no—
801(C2×D3)⋊C4—22no—
802(C2×D3)⋊C4—41no—
803(C2×D3)⋊C4—41no—
804(C2×D3)⋊C4—41no—
805(C2×D3)⋊C4—41no—
806(C2×D3)⋊C4—41no—
807(C2×D3)⋊C4—41no—
808(C2×D3)⋊C4—41no—
809(C2×D3)⋊C4—41no—
810(C2×D3)⋊C4—41no—
811(C2×D3)⋊C4—41no—
812(C2×D3)⋊C4C2×D414yes—
813C4⋊Dic3—22no—
814C4⋊Dic3—22no—
815C4⋊Dic3—22no—
816C4⋊Dic3—22no—
817C4⋊Dic3—22no—
818C4⋊Dic3—41no—
819Dic3⋊C4—22no—
820Dic3⋊C4—22no—
821Dic3⋊C4—22no—
822Dic3⋊C4—22no—
823Dic3⋊C4—41no—
824Dic3⋊C4—41no—
825Dic3⋊C4C2×D414yes—
826C4×Dic3—22no—
827C4×Dic3—22no—
828C4×Dic3—22no—
829C4×Dic3—22no—
830C4×Dic3—22no—
831C4×Dic3—22no—
832C4×Dic3—22no—
833C4×Dic3—41no—
834C4×Dic3—41no—
835C4×Dic3—41no—
836C25—31no—
837C25C22×D311yescharacteristic
838C2×#41—64no—
839C2×#41—64no—
840C2×#41—64no—
841C2×#41—64no—
842C2×#41—122no—
843C2×#41—122no—
844C2×#41—122no—
845C2×#41—122no—
846C2×#41—122no—
847C22×Q8—31no—
848C22×Q8—31no—
849C22×Q8—31no—
850C22×D4—31no—
851C22×D4—31no—
852C22×D4—31no—
853C22×D4—31no—
854C22×D4—31no—
855C22×D4—31no—
856C22×D4—31no—
857C22×D4—31no—
858C22×D4—31no—
859C22×D4—31no—
860C22×D4—31no—
861C22×D4—31no—
862C22×D4—31no—
863C22×D4—31no—
864C22×D4—31no—
865C22×D4—64no—
866C22×D4—64no—
867C22×D4—122no—
868C22×D4C22×D311yescharacteristic
869C22×D4C22×D311yescharacteristic
870C22×D4C22×D311yescharacteristic
871C22×D4C22×D311yescharacteristic
872C22×D4C22×D311yescharacteristic
873C22×D4C22×D311yescharacteristic
874C22×D4C22×D311yescharacteristic
875C23×C4—31no—
876C23×C4—31no—
877C23×C4—31no—
878C23×C4—31no—
879C23×C4—31no—
880C23×C4—31no—
881C23×C4—31no—
882C23×C4—31no—
883C23×C4—31no—
884C23×C4—31no—
885C23×C4—31no—
886C23×C4—31no—
887C23×C4—31no—
888C23×C4C22×D311yescharacteristic
889C4⋊Q8—64no—
890#127—64no—
891#127—64no—
892#124—64no—
893#124—64no—
894#124—64no—
895#124—122no—
896#123—24no—
897#123—64no—
898#123—64no—
899C22⋊Q8—64no—
900C22⋊Q8—122no—
901C22⋊Q8—122no—
902#121—24no—
903#121—38no—
904#121—64no—
905#121—64no—
906#121—64no—
907#121—64no—
908#121—122no—
909#120—24no—
910#120—24no—
911#120—64no—
912#120—64no—
913#120—122no—
914#120—122no—
915C4×D4—64no—
916C4×D4—64no—
917C4×D4—64no—
918C4×D4—64no—
919C4×D4—64no—
920C4×D4—64no—
921C4×D4—122no—
922C4×D4—122no—
923C4×D4—122no—
924#117—122no—
925C2×C4⋊C4—31no—
926C2×C4⋊C4—31no—
927C2×C4⋊C4—31no—
928C2×C4⋊C4—31no—
929C2×C4⋊C4—31no—
930C2×C4⋊C4—31no—
931C2×C4⋊C4—31no—
932C2×C4⋊C4—31no—
933C2×C4⋊C4—31no—
934C2×C4⋊C4—31no—
935C2×C4⋊C4—31no—
936C2×C4⋊C4—31no—
937C2×C4⋊C4—31no—
938C2×C4⋊C4C22×D311yescharacteristic
939C2×C4⋊C4C22×D311yescharacteristic
940C2×C4⋊C4C22×D311yescharacteristic
941C2×C4⋊C4C22×D311yescharacteristic
942C2×C22⋊C4—31no—
943C2×C22⋊C4—31no—
944C2×C22⋊C4—31no—
945C2×C22⋊C4—31no—
946C2×C22⋊C4—31no—
947C2×C22⋊C4—31no—
948C2×C22⋊C4—31no—
949C2×C22⋊C4—31no—
950C2×C22⋊C4—31no—
951C2×C22⋊C4—31no—
952C2×C22⋊C4—31no—
953C2×C22⋊C4—31no—
954C2×C22⋊C4—31no—
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
957C2×C22⋊C4—31no—
958C2×C22⋊C4—31no—
959C2×C22⋊C4—31no—
960C2×C22⋊C4—31no—
961C2×C22⋊C4—31no—
962C2×C22⋊C4—31no—
963C2×C22⋊C4—31no—
964C2×C22⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—31no—
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—31no—
973C2×C22⋊C4—31no—
974C2×C22⋊C4—31no—
975C2×C22⋊C4—31no—
976C2×C22⋊C4—31no—
977C2×C22⋊C4—31no—
978C2×C22⋊C4—31no—
979C2×C22⋊C4—31no—
980C2×C22⋊C4—31no—
981C2×C22⋊C4—64no—
982C2×C22⋊C4—64no—
983C2×C22⋊C4—122no—
984C2×C22⋊C4—122no—
985C2×C22⋊C4C22×D311yescharacteristic
986C2×C22⋊C4C22×D311yescharacteristic
987C2×C22⋊C4C22×D311yescharacteristic
988C2×C22⋊C4C22×D311yescharacteristic
989C2×C22⋊C4C22×D311yescharacteristic
990C2×C22⋊C4C22×D311yescharacteristic
991C2×C22⋊C4C22×D311yescharacteristic
992C2×C22⋊C4C22×D311yescharacteristic
993C2×C22⋊C4C22×D311yescharacteristic
994C2×C22⋊C4C22×D311yescharacteristic
995C2×C22⋊C4C22×D311yescharacteristic
996C2×C22⋊C4C22×D311yescharacteristic
997C2×C22⋊C4C22×D311yescharacteristic
998C2×C22⋊C4C22×D311yescharacteristic
999C2×C22⋊C4C22×D311yescharacteristic
1000C2×C22⋊C4C22×D311yescharacteristic
1001C2×C22⋊C4C22×D311yescharacteristic
1002C2×C42—31no—
1003C2×C42—31no—
1004C2×C42—31no—
1005C2×C42—31no—
1006C2×C42—31no—
1007C2×C42—31no—
1008C2×C42—31no—
1009C2×C42—31no—
1010C2×C42—31no—
1011C2×C42—31no—
1012C2×C42—64no—
1013C2×C42C22×D311yescharacteristic
1014#95—31no—
1015#95—31no—
1016#95—31no—
1017#95—31no—
1018#95—31no—
1019#95—31no—
1020#95—31no—
1021#95—31no—
1022#95—31no—
1023#95—31no—
1024#95—31no—
1025#95—31no—
1026#95—31no—
1027#95—31no—
1028#95—31no—
1029#95—31no—
1030#95—31no—
1031#95—31no—
1032#95—31no—
1033#95—31no—
1034#95—31no—
1035#95—31no—
1036#95—31no—
1037#95—31no—
1038#95—31no—
1039#95—31no—
1040#95C22×D311yescharacteristic
1041#95C22×D311yescharacteristic
1042#95C22×D311yescharacteristic
1043#95C22×D311yescharacteristic
1044C23×C3—21no—
1045C23×C3—21no—
1046C23×C3—21no—
1047C23×C3—21no—
1048C23×C3—21no—
1049C23×C3—21no—
1050C23×C3—21no—
1051C23×C3—21no—
1052C23×C3—21no—
1053C23×C3—21no—
1054C23×C3—21no—
1055C23×C3—21no—
1056C23×C3—21no—
1057C23×C3—21no—
1058C23×C3—21no—
1059C23×C3—21no—
1060C23×C3—21no—
1061C23×C3—21no—
1062C23×C3—21no—
1063C23×C3—21no—
1064C23×C3—21no—
1065C23×C3—21no—
1066C23×C3—21no—
1067C23×C3—21no—
1068C23×C3—21no—
1069C23×C3—21no—
1070C23×C3—21no—
1071C23×C3—21no—
1072C23×C3—21no—
1073C23×C3—21no—
1074C23×C3—21no—
1075C23×C3—44no—
1076C23×C3—44no—
1077C23×C3—44no—
1078C23×C3—82no—
1079C23×C3—82no—
1080C23×C3—82no—
1081C23×C3—82no—
1082C23×C3C22×D412yes—
1083C23×C3C22×D412yes—
1084C23×C3C2×#4112yes—
1085C23×C3C2×#4112yes—
1086C23×C3C2511yescharacteristic
1087C22×D3—21no—
1088C22×D3—21no—
1089C22×D3—21no—
1090C22×D3—21no—
1091C22×D3—21no—
1092C22×D3—21no—
1093C22×D3—21no—
1094C22×D3—21no—
1095C22×D3—21no—
1096C22×D3—21no—
1097C22×D3—21no—
1098C22×D3—21no—
1099C22×D3—21no—
1100C22×D3—21no—
1101C22×D3—21no—
1102C22×D3—21no—
1103C22×D3—21no—
1104C22×D3—21no—
1105C22×D3—21no—
1106C22×D3—44no—
1107C22×D3—44no—
1108C22×D3—44no—
1109C22×D3—82no—
1110C22×D3—82no—
1111C22×D3—82no—
1112C22×D3—82no—
1113C22×D3C22×D412yes—
1114C22×D3C2×#4112yes—
1115C3×D4—44no—
1116C3×D4—44no—
1117C3×D4—44no—
1118C3×D4—44no—
1119C3×D4—44no—
1120C3×D4—44no—
1121C3×D4—82no—
1122C2×C3×C4—21no—
1123C2×C3×C4—21no—
1124C2×C3×C4—21no—
1125C2×C3×C4—21no—
1126C2×C3×C4—21no—
1127C2×C3×C4—21no—
1128C2×C3×C4—21no—
1129C2×C3×C4—21no—
1130C2×C3×C4—21no—
1131C2×C3×C4—21no—
1132C2×C3×C4—21no—
1133C2×C3×C4—21no—
1134C2×C3×C4—21no—
1135C2×C3×C4—21no—
1136C2×C3×C4—21no—
1137C2×C3×C4—21no—
1138C2×C3×C4—21no—
1139C2×C3×C4—21no—
1140C2×C3×C4—21no—
1141C2×C3×C4—21no—
1142C2×C3×C4—21no—
1143C2×C3×C4—21no—
1144C2×C3×C4—21no—
1145C2×C3×C4—21no—
1146C2×C3×C4—21no—
1147C2×C3×C4—21no—
1148C2×C3×C4—21no—
1149C2×C3×C4—44no—
1150C2×C3×C4C22×D412yes—
1151C2×C3×C4C2×#4112yes—
1152C2×C3×C4C2×#4112yes—
1153#67—28no—
1154#67—28no—
1155#67—44no—
1156#67—44no—
1157#67—44no—
1158#67—44no—
1159#67—44no—
1160#67—44no—
1161#67—44no—
1162#67—44no—
1163#67—82no—
1164#67—82no—
1165#67—82no—
1166C2×Dic3—28no—
1167C2×Dic3—21no—
1168C2×Dic3—21no—
1169C2×Dic3—21no—
1170C2×Dic3—21no—
1171C2×Dic3—21no—
1172C2×Dic3—21no—
1173C2×Dic3—21no—
1174C2×Dic3—21no—
1175C2×Dic3—28no—
1176C2×Dic3—21no—
1177C2×Dic3—21no—
1178C2×Dic3—21no—
1179C2×Dic3—21no—
1180C2×Dic3—21no—
1181C2×Dic3—21no—
1182C2×Dic3—21no—
1183C2×Dic3—21no—
1184C2×Dic3—21no—
1185C2×Dic3—21no—
1186C2×Dic3—21no—
1187C2×Dic3—21no—
1188C2×Dic3—21no—
1189C2×Dic3—21no—
1190C2×Dic3—21no—
1191C2×Dic3—21no—
1192C2×Dic3—21no—
1193C2×Dic3—21no—
1194C2×Dic3—21no—
1195C2×Dic3—21no—
1196C2×Dic3—21no—
1197C2×Dic3—21no—
1198C2×Dic3—21no—
1199C2×Dic3—21no—
1200C2×Dic3—44no—
1201C2×Dic3—44no—
1202C2×Dic3—44no—
1203C2×Dic3—44no—
1204C2×Dic3—82no—
1205C2×Dic3—82no—
1206C2×Dic3C22×D412yes—
1207C2×Dic3C22×D412yes—
1208C2×Dic3C22×D412yes—
1209C2×Dic3C2×#4112yes—
1210C2×Dic3H(5,𝔽2)12yes—
1211C2×Dic3H(5,𝔽2)12yes—
1212C2×Dic3H(5,𝔽2)12yes—
1213D12—44no—
1214D12—44no—
1215C4×D3—44no—
1216C4×D3—44no—
1217C4×D3—44no—
1218C4×D3—82no—
1219C4×D3—82no—
1220Dic6—44no—
1221Dic6—44no—
1222Dic6—44no—
1223C24—22no—
1224C24—22no—
1225C24—22no—
1226C24—31no—
1227C24—31no—
1228C24—31no—
1229C24—41no—
1230C24—41no—
1231C24—41no—
1232C24—41no—
1233C24—62no—
1234C24—62no—
1235C24—62no—
1236C24—121no—
1237C24—121no—
1238C24—121no—
1239C24—121no—
1240C24C23×D311yescharacteristic
1241C24C23×D311yescharacteristic
1242C24C23×D311yescharacteristic
1243C24C23×D311yescharacteristic
1244C24C23×D311yescharacteristic
1245#41—1216no—
1246#41—1216no—
1247#41—1216no—
1248C2×Q8—62no—
1249C2×Q8—62no—
1250C2×Q8—62no—
1251C2×Q8—62no—
1252C2×Q8—62no—
1253C2×Q8—62no—
1254C2×Q8—62no—
1255C2×Q8—121no—
1256C2×Q8—121no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—34no—
1268C2×D4—34no—
1269C2×D4—34no—
1270C2×D4—41no—
1271C2×D4—41no—
1272C2×D4—41no—
1273C2×D4—41no—
1274C2×D4—41no—
1275C2×D4—41no—
1276C2×D4—41no—
1277C2×D4—41no—
1278C2×D4—41no—
1279C2×D4—41no—
1280C2×D4—62no—
1281C2×D4—62no—
1282C2×D4—62no—
1283C2×D4—62no—
1284C2×D4—62no—
1285C2×D4—62no—
1286C2×D4—62no—
1287C2×D4—62no—
1288C2×D4—62no—
1289C2×D4—62no—
1290C2×D4—62no—
1291C2×D4—62no—
1292C2×D4—62no—
1293C2×D4—62no—
1294C2×D4—62no—
1295C2×D4—62no—
1296C2×D4—62no—
1297C2×D4—62no—
1298C2×D4—62no—
1299C2×D4—62no—
1300C2×D4—62no—
1301C2×D4—62no—
1302C2×D4—62no—
1303C2×D4—62no—
1304C2×D4—62no—
1305C2×D4—121no—
1306C2×D4—121no—
1307C2×D4—121no—
1308C2×D4—121no—
1309C2×D4—121no—
1310C2×D4—121no—
1311C2×D4—121no—
1312C2×D4—121no—
1313C2×D4—121no—
1314C2×D4—121no—
1315C2×D4—121no—
1316C2×D4—121no—
1317C2×D4—121no—
1318C2×D4—121no—
1319C2×D4—121no—
1320C2×D4—121no—
1321C2×D4—121no—
1322C2×D4—1216no—
1323C2×D4D3×D414yes—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—31no—
1327C22×C4—34no—
1328C22×C4—31no—
1329C22×C4—31no—
1330C22×C4—31no—
1331C22×C4—31no—
1332C22×C4—31no—
1333C22×C4—31no—
1334C22×C4—31no—
1335C22×C4—31no—
1336C22×C4—31no—
1337C22×C4—31no—
1338C22×C4—31no—
1339C22×C4—31no—
1340C22×C4—41no—
1341C22×C4—62no—
1342C22×C4—62no—
1343C22×C4—62no—
1344C22×C4—62no—
1345C22×C4—62no—
1346C22×C4—62no—
1347C22×C4—62no—
1348C22×C4—62no—
1349C22×C4—62no—
1350C22×C4—62no—
1351C22×C4—62no—
1352C22×C4—62no—
1353C22×C4—62no—
1354C22×C4—62no—
1355C22×C4—62no—
1356C22×C4—62no—
1357C22×C4—62no—
1358C22×C4—62no—
1359C22×C4—62no—
1360C22×C4—62no—
1361C22×C4—62no—
1362C22×C4—62no—
1363C22×C4—121no—
1364C22×C4—121no—
1365C22×C4—121no—
1366C22×C4—121no—
1367C22×C4—121no—
1368C22×C4—121no—
1369C22×C4—121no—
1370C22×C4—121no—
1371C22×C4—121no—
1372C22×C4—121no—
1373C22×C4—121no—
1374C22×C4—121no—
1375C22×C4—121no—
1376C22×C4—121no—
1377C22×C4—121no—
1378C22×C4—121no—
1379C22×C4C23×D311yescharacteristic
1380C22×C4C23×D311yescharacteristic
1381C22×C4C23×D311yescharacteristic
1382C22×C4C23×D311yescharacteristic
1383C22×C4C23×D311yescharacteristic
1384C22×C4C23×D311yescharacteristic
1385C22×C4C23×D311yescharacteristic
1386C22×C4C23×D311yescharacteristic
1387C22×C4C23×D311yescharacteristic
1388C22×C4C23×D311yescharacteristic
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—34no—
1393C4⋊C4—41no—
1394C4⋊C4—62no—
1395C4⋊C4—62no—
1396C4⋊C4—62no—
1397C4⋊C4—62no—
1398C4⋊C4—62no—
1399C4⋊C4—62no—
1400C4⋊C4—62no—
1401C4⋊C4—62no—
1402C4⋊C4—62no—
1403C4⋊C4—121no—
1404C4⋊C4—121no—
1405C4⋊C4—121no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—34no—
1416C22⋊C4—34no—
1417C22⋊C4—41no—
1418C22⋊C4—41no—
1419C22⋊C4—41no—
1420C22⋊C4—41no—
1421C22⋊C4—41no—
1422C22⋊C4—41no—
1423C22⋊C4—41no—
1424C22⋊C4—62no—
1425C22⋊C4—62no—
1426C22⋊C4—62no—
1427C22⋊C4—62no—
1428C22⋊C4—62no—
1429C22⋊C4—62no—
1430C22⋊C4—62no—
1431C22⋊C4—62no—
1432C22⋊C4—62no—
1433C22⋊C4—62no—
1434C22⋊C4—62no—
1435C22⋊C4—62no—
1436C22⋊C4—62no—
1437C22⋊C4—62no—
1438C22⋊C4—62no—
1439C22⋊C4—62no—
1440C22⋊C4—62no—
1441C22⋊C4—62no—
1442C22⋊C4—62no—
1443C22⋊C4—121no—
1444C22⋊C4—121no—
1445C22⋊C4—121no—
1446C22⋊C4—121no—
1447C22⋊C4—121no—
1448C22⋊C4—121no—
1449C22⋊C4—121no—
1450C22⋊C4—121no—
1451C22⋊C4—121no—
1452C22⋊C4—121no—
1453C22⋊C4—121no—
1454C22⋊C4—121no—
1455C22⋊C4—121no—
1456C22⋊C4—121no—
1457C22⋊C4—121no—
1458C22⋊C4—121no—
1459C22⋊C4—121no—
1460C22⋊C4—121no—
1461C22⋊C4#23714yescomplemented
1462C42—41no—
1463C42—62no—
1464C42—62no—
1465C42—62no—
1466C42—62no—
1467C42—62no—
1468C42—62no—
1469C42—62no—
1470C42—121no—
1471C42—121no—
1472C42—121no—
1473C22×C3—22no—
1474C22×C3—22no—
1475C22×C3—22no—
1476C22×C3—22no—
1477C22×C3—22no—
1478C22×C3—22no—
1479C22×C3—22no—
1480C22×C3—22no—
1481C22×C3—22no—
1482C22×C3—22no—
1483C22×C3—22no—
1484C22×C3—22no—
1485C22×C3—41no—
1486C22×C3—41no—
1487C22×C3—41no—
1488C22×C3—41no—
1489C22×C3—41no—
1490C22×C3—41no—
1491C22×C3—41no—
1492C22×C3—41no—
1493C22×C3—41no—
1494C22×C3—41no—
1495C22×C3—41no—
1496C22×C3—41no—
1497C22×C3—41no—
1498C22×C3—41no—
1499C22×C3—41no—
1500C22×C3—41no—
1501C22×C3—41no—
1502C22×C3—41no—
1503C22×C3—41no—
1504C22×C3—41no—
1505C22×C3—41no—
1506C22×C3—41no—
1507C22×C3—41no—
1508C22×C3—88no—
1509C22×C3C23×D411yescharacteristic
1510C22×C3C22×#4111yescharacteristic
1511C22×C3C22×#4111yescharacteristic
1512C22×C3C2×H(5,𝔽2)11yescharacteristic
1513C22×C3C2×H(5,𝔽2)11yescharacteristic
1514C22×C3C2×H(5,𝔽2)11yescharacteristic
1515C22×C3#58511yescharacteristic
1516C2×D3—22no—
1517C2×D3—22no—
1518C2×D3—22no—
1519C2×D3—22no—
1520C2×D3—22no—
1521C2×D3—22no—
1522C2×D3—41no—
1523C2×D3—41no—
1524C2×D3—41no—
1525C2×D3—41no—
1526C2×D3—41no—
1527C2×D3—41no—
1528C2×D3—41no—
1529C2×D3—41no—
1530C2×D3—41no—
1531C2×D3—41no—
1532C2×D3—41no—
1533C2×D3—41no—
1534C2×D3—41no—
1535C2×D3—41no—
1536C2×D3—41no—
1537C2×D3—88no—
1538C3×C4—22no—
1539C3×C4—22no—
1540C3×C4—22no—
1541C3×C4—41no—
1542C3×C4—41no—
1543C3×C4—41no—
1544C3×C4—41no—
1545C3×C4—41no—
1546C3×C4—41no—
1547C3×C4—41no—
1548Dic3—22no—
1549Dic3—22no—
1550Dic3—22no—
1551Dic3—22no—
1552Dic3—41no—
1553Dic3—41no—
1554Dic3—41no—
1555Dic3—41no—
1556Dic3—41no—
1557Dic3—41no—
1558Dic3—41no—
1559Dic3—41no—
1560Dic3#54614yes—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—32no—
1593C23—32no—
1594C23—44no—
1595C23—44no—
1596C23—44no—
1597C23—61no—
1598C23—61no—
1599C23—61no—
1600C23—61no—
1601C23—61no—
1602C23—61no—
1603C23—61no—
1604C23—61no—
1605C23—61no—
1606C23—61no—
1607C23—61no—
1608C23—61no—
1609C23—61no—
1610C23—61no—
1611C23—61no—
1612C23—61no—
1613C23—61no—
1614C23—61no—
1615C23—61no—
1616C23—82no—
1617C23—82no—
1618C23—82no—
1619C23—82no—
1620C23—124no—
1621C23—124no—
1622C23—124no—
1623C23—242no—
1624C23—242no—
1625C23—242no—
1626C23—242no—
1627C23C2×D3×D412yes—
1628C23C2×D3×D412yes—
1629C23C2×#23712yes—
1630C23D3×#4112yes—
1631C23C24×D311yescharacteristic
1632Q8—124no—
1633Q8—124no—
1634Q8—124no—
1635D4—44no—
1636D4—44no—
1637D4—44no—
1638D4—44no—
1639D4—44no—
1640D4—44no—
1641D4—68no—
1642D4—68no—
1643D4—82no—
1644D4—124no—
1645D4—124no—
1646D4—124no—
1647D4—124no—
1648D4—124no—
1649D4—124no—
1650D4—124no—
1651D4—124no—
1652D4—124no—
1653D4—124no—
1654D4—242no—
1655D4—242no—
1656D4—242no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—32no—
1685C2×C4—32no—
1686C2×C4—32no—
1687C2×C4—32no—
1688C2×C4—32no—
1689C2×C4—32no—
1690C2×C4—32no—
1691C2×C4—44no—
1692C2×C4—68no—
1693C2×C4—68no—
1694C2×C4—61no—
1695C2×C4—61no—
1696C2×C4—61no—
1697C2×C4—61no—
1698C2×C4—61no—
1699C2×C4—61no—
1700C2×C4—61no—
1701C2×C4—61no—
1702C2×C4—61no—
1703C2×C4—61no—
1704C2×C4—61no—
1705C2×C4—61no—
1706C2×C4—61no—
1707C2×C4—61no—
1708C2×C4—61no—
1709C2×C4—61no—
1710C2×C4—61no—
1711C2×C4—61no—
1712C2×C4—61no—
1713C2×C4—61no—
1714C2×C4—61no—
1715C2×C4—61no—
1716C2×C4—61no—
1717C2×C4—61no—
1718C2×C4—61no—
1719C2×C4—61no—
1720C2×C4—61no—
1721C2×C4—61no—
1722C2×C4—61no—
1723C2×C4—61no—
1724C2×C4—61no—
1725C2×C4—61no—
1726C2×C4—124no—
1727C2×C4—124no—
1728C2×C4—124no—
1729C2×C4—124no—
1730C2×C4—124no—
1731C2×C4—124no—
1732C2×C4—124no—
1733C2×C4—242no—
1734C2×C4—242no—
1735C2×C4—242no—
1736C2×C4—242no—
1737C2×C4C2×D3×D412yes—
1738C2×C4C2×#23712yes—
1739C2×C4C2×#23712yes—
1740C2×C3—42no—
1741C2×C3—42no—
1742C2×C3—42no—
1743C2×C3—42no—
1744C2×C3—81no—
1745C2×C3C2×#54611yescharacteristic
1746C2×C3D4×#4111yescharacteristic
1747C2×C3#348111yescharacteristic
1748C2×C3#348411yescharacteristic
1749C2×C3#350811yescharacteristic
1750C2×C3#351411yescharacteristic
1751C2×C3#354611yescharacteristic
1752D3—42no—
1753D3—42no—
1754D3—81no—
1755C22—22no—
1756C22—22no—
1757C22—22no—
1758C22—22no—
1759C22—22no—
1760C22—22no—
1761C22—22no—
1762C22—22no—
1763C22—22no—
1764C22—22no—
1765C22—22no—
1766C22—22no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—62no—
1791C22—62no—
1792C22—62no—
1793C22—62no—
1794C22—62no—
1795C22—62no—
1796C22—88no—
1797C22—121no—
1798C22—121no—
1799C22—121no—
1800C22—121no—
1801C22—121no—
1802C22—121no—
1803C22—121no—
1804C22—121no—
1805C22—121no—
1806C22—121no—
1807C22—121no—
1808C22—121no—
1809C22—121no—
1810C22—121no—
1811C22—121no—
1812C22—248no—
1813C22C22×D3×D411yescharacteristic
1814C22C22×#23711yescharacteristic
1815C22C2×D3×#4111yescharacteristic
1816C22D3×H(5,𝔽2)11yescharacteristic
1817C22D3×H(5,𝔽2)11yescharacteristic
1818C22D3×H(5,𝔽2)11yescharacteristic
1819C22#596611yescharacteristic
1820C4—22no—
1821C4—22no—
1822C4—22no—
1823C4—34no—
1824C4—41no—
1825C4—41no—
1826C4—41no—
1827C4—41no—
1828C4—41no—
1829C4—41no—
1830C4—41no—
1831C4—62no—
1832C4—62no—
1833C4—62no—
1834C4—62no—
1835C4—121no—
1836C4—121no—
1837C4—121no—
1838C4—121no—
1839C4—121no—
1840C4—121no—
1841C4—121no—
1842C4—121no—
1843C3#5909911yescharacteristic, complemented, Sylow
1844C2—42no—
1845C2—42no—
1846C2—42no—
1847C2—42no—
1848C2—81no—
1849C2—122no—
1850C2—122no—
1851C2—241no—
1852C2#8630811yescharacteristic
1853C2#8631911yescharacteristic
1854C2#8639211yescharacteristic
1855C2D4×#23711yescharacteristic
1856C2#8662811yescharacteristic
1857C2D3×#54611yescharacteristic
1858C2#8707511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2678C2
hypercenter#2678D3
hypocenterC3#59099
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2678

Complements

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

NH ≅ G/Ntype
1. C2×#5596C2semidirect
2. C2×#5591C2semidirect
3. C3×#2678C2semidirect
4. #82907C2semidirect
5. Dic3×#123C2semidirect
6. #82688C2semidirect
7. #82588C2semidirect
8. #82581C2semidirect
9. #82579C2semidirect
10. #77516C2semidirect
11. #77468C2semidirect
12. #77293C2semidirect
13. #77290C2semidirect
14. #76945C2semidirect
15. #76925C2semidirect
16. #76909C2semidirect
17. #76902C2semidirect
18. #76754C2semidirect
19. #76672C2semidirect
20. #76670C2semidirect
21. #76668C2semidirect
22. #76435C2semidirect
23. #76357C2semidirect
24. #76306C2semidirect
25. #76305C2semidirect
26. #75836C2semidirect
27. #75547C2semidirect
28. #74798C2semidirect
29. #74658C2semidirect
30. #73850C2semidirect
31. #73829C2semidirect
35. C22×#237C22semidirect
36. C22×#237C22semidirect
38. C2×C3×#121C22semidirect
49. C2×#939C22semidirect
54. C2×D4×Dic3C22semidirect
55. C2×D4×Dic3C22semidirect
56. C2×#930C22semidirect
57. C22×C4×Dic3C22semidirect
60. C2×#897C22semidirect
61. C2×#893C22semidirect
62. C2×#888C22semidirect
65. C2×#885C22semidirect
66. C2×#885C22semidirect
67. C2×#885C22semidirect
73. C2×#67⋊C4C22semidirect
77. C2×#878C22semidirect
78. C2×#877C22semidirect
79. C2×C4×D12C22semidirect
80. C3×#397C22semidirect
81. C3×#396C22semidirect
83. C3×#394C22semidirect
85. C3×#392C22semidirect
86. C3×#390C22semidirect
87. C3×#390C22semidirect
89. C3×#386C22semidirect
94. #5223C22semidirect
95. #5223C22semidirect
96. #5222C22semidirect
100. #5220C22semidirect
101. #5220C22semidirect
102. #5220C22semidirect
103. #5220C22semidirect
104. #5213C22semidirect
105. #5211C22semidirect
106. #4994C22semidirect
107. #4992C22semidirect
108. #4991C22semidirect
109. #4990C22semidirect
110. #4989C22semidirect
111. #4988C22semidirect
112. #4987C22semidirect
113. #4986C22semidirect
114. #4980C22semidirect
115. #4980C22semidirect
116. #4976C22semidirect
117. Dic3×C4⋊C4C22semidirect
118. Dic3×C4⋊C4C22semidirect
119. #4961C22semidirect
120. #4961C22semidirect
121. #4961C22semidirect
124. #4960C22semidirect
128. #4958C22semidirect
129. #4958C22semidirect
130. #4958C22semidirect
131. #4958C22semidirect
132. #4958C22semidirect
138. #4957C22semidirect
139. #4957C22semidirect
143. #4956C22semidirect
144. #4956C22semidirect
145. #4956C22semidirect
146. #4956C22semidirect
147. #4956C22semidirect
149. #4953C22semidirect
150. #4952C22semidirect
154. #4951C22semidirect
155. #4950C22semidirect
156. #4950C22semidirect
157. #4950C22semidirect
160. #4947C22semidirect
161. #4944C22semidirect
162. #4943C22semidirect
164. #4942C22semidirect
167. Dic3×C22⋊C4C22semidirect
168. Dic3×C22⋊C4C22semidirect
169. Dic3×C22⋊C4C22semidirect
170. Dic3×C22⋊C4C22semidirect
171. C4×(C2×D3)⋊C4C22semidirect
172. C4×Dic3⋊C4C22semidirect
173. #4929C22semidirect
174. #4675C22semidirect
175. #4674C22semidirect
176. #4673C22semidirect
177. #4670C22semidirect
178. #4668C22semidirect
179. #4666C22semidirect
180. #4666C22semidirect
181. #4665C22semidirect
182. #4665C22semidirect
183. #4664C22semidirect
184. #4660C22semidirect
185. #4647C22semidirect
186. #4646C22semidirect
187. #4646C22semidirect
188. #4646C22semidirect
189. #4646C22semidirect
195. #2678D3semidirect
326. #939D4semidirect
454. C2×#121C2×D3semidirect
483. #397C2×D3semidirect
485. #396C2×D3semidirect
493. #394C2×D3semidirect
507. #392C2×D3semidirect
522. #390C2×D3semidirect
523. #390C2×D3semidirect
560. #386C2×D3semidirect
681. C2×#67#41semidirect
772. C3×C22⋊C4#41semidirect
1461. C22⋊C4#237semidirect
1843. C3#59099semidirect

Maximal subgroups

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

subgroupindex
C2×#55962
C2×#55912
C3×#26782
#829072
Dic3×#1232
#826882
#825882
#825812
#825792
#775162
#774682
#772932
#772902
#769452
#769252
#769092
#769022
#767542
#766722
#766702
#766682
#764352
#763572
#763062
#763052
#758362
#755472
#747982
#746582
#738502
#738292
#590993