Finite Group Databasebeta

← #11025269

Subgroups — #11025269

Order 768.

2868 conjugacy classes of subgroups.

The subgroup lattice has 1848 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5704C211yesmaximal, characteristic, complemented
2C22×#894C211yesmaximal, characteristic, complemented
3C3×#2481C211yesmaximal, characteristic, complemented
4#83108C211yesmaximal, characteristic, complemented
5#82163C211yesmaximal, characteristic, complemented
6#78371C211yesmaximal, characteristic, complemented
7#78241C211yesmaximal, characteristic, complemented
8#78240C211yesmaximal, characteristic, complemented
9#78239C211yesmaximal, characteristic, complemented
10#77701C211yesmaximal, characteristic, complemented
11#77690C211yesmaximal, characteristic, complemented
12#77437C211yesmaximal, characteristic, complemented
13#77432C211yesmaximal, characteristic, complemented
14#75910C211yesmaximal, characteristic, complemented
15#75845C211yesmaximal, characteristic, complemented
16#75377C211yesmaximal, characteristic, complemented
17#75358C211yesmaximal, characteristic, complemented
18#75323C211yesmaximal, characteristic, complemented
19#75302C211yesmaximal, characteristic, complemented
20#74935C211yesmaximal, characteristic, complemented
21#74888C211yesmaximal, characteristic, complemented
22#74884C211yesmaximal, characteristic, complemented
23#74878C211yesmaximal, characteristic, complemented
24#74727C211yesmaximal, characteristic, complemented
25#74702C211yesmaximal, characteristic, complemented
26#74605C211yesmaximal, characteristic, complemented
27#74452C211yesmaximal, characteristic, complemented
28#74016C211yesmaximal, characteristic, complemented
29#73889C211yesmaximal, characteristic, complemented
30#73594C211yesmaximal, characteristic, complemented
31C4×#882C211yesmaximal, characteristic, complemented
32#37713—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C23×D12C2211yescharacteristic
35C23×C4×D3C2211yescharacteristic, complemented
36C2×C3×#126C2211yescharacteristic, complemented
37C22×C3×C4⋊C4C2211yescharacteristic, complemented
38C2×#939C2211yescharacteristic
39C2×#937C2211yescharacteristic
40C2×#930C2211yescharacteristic
41C2×C4×#67C2211yescharacteristic
42C2×C4×#67C2211yescharacteristic, complemented
43C22×(C2×D3)⋊C4C2211yescharacteristic
44C22×(C2×D3)⋊C4C2211yescharacteristic
45C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
46C22×Dic3⋊C4C2211yescharacteristic, complemented
47#5704—28no—
48C2×#898C2211yescharacteristic, complemented
49C2×#896C2211yescharacteristic, complemented
50C2×#895C2211yescharacteristic
51C2×#895C2211yescharacteristic, complemented
52C2×#895C2211yescharacteristic, complemented
53C2×#894—28no—
54C2×#894C2211yescharacteristic
55C2×#894C2211yescharacteristic
56C2×#894C2211yescharacteristic
57C2×#894C2211yescharacteristic
58C2×#894C2211yescharacteristic, complemented
59C2×#894C2211yescharacteristic, complemented
60C2×#894C2211yescharacteristic, complemented
61C2×#894C2211yescharacteristic, complemented
62C2×#893C2211yescharacteristic, complemented
63C2×#885C2211yescharacteristic, complemented
64C2×#884C2211yescharacteristic, complemented
65C2×#884C2211yescharacteristic, complemented
66C2×#883C2211yescharacteristic, complemented
67C2×#882C2211yescharacteristic
68C2×#882C2211yescharacteristic
69C2×#882C2211yescharacteristic
70C2×#882C2211yescharacteristic
71C2×#882C2211yescharacteristic, complemented
72C2×#882C2211yescharacteristic, complemented
73C2×#67⋊C4C2211yescharacteristic
74C2×D3×C22⋊C4C2211yescharacteristic, complemented
75C2×#878C2211yescharacteristic, complemented
76C2×#875C2211yescharacteristic, complemented
77C2×C4×D12C2211yescharacteristic, complemented
78C2×C4×D12C2211yescharacteristic, complemented
79C3×#400C2211yescharacteristic, complemented
80C3×#400C2211yescharacteristic, complemented
81C3×#397C2211yescharacteristic, complemented
82C3×#396C2211yescharacteristic, complemented
83C3×#388C2211yescharacteristic, complemented
84C3×#387C2211yescharacteristic, complemented
85C3×#387C2211yescharacteristic, complemented
86C3×#386C2211yescharacteristic
87C3×#386C2211yescharacteristic
88C3×#386C2211yescharacteristic
89C3×#385C2211yescharacteristic, complemented
90C3×#380C2211yescharacteristic, complemented
91C3×C4×C22⋊C4C2211yescharacteristic, complemented
92#5220C2211yescharacteristic
93#5213C2211yescharacteristic
94#5213C2211yescharacteristic, complemented
95C4×#217C2211yescharacteristic, complemented
96#4994C2211yescharacteristic, complemented
97#4994C2211yescharacteristic, complemented
98#4994C2211yescharacteristic, complemented
99#4992C2211yescharacteristic, complemented
100#4991C2211yescharacteristic, complemented
101#4990C2211yescharacteristic, complemented
102#4990C2211yescharacteristic, complemented
103#4990C2211yescharacteristic, complemented
104#4989C2211yescharacteristic, complemented
105#4989C2211yescharacteristic, complemented
106#4988C2211yescharacteristic
107#4988C2211yescharacteristic, complemented
108#4988C2211yescharacteristic, complemented
109#4988C2211yescharacteristic, complemented
110#4983C2211yescharacteristic, complemented
111#4976C2211yescharacteristic, complemented
112Dic3×C4⋊C4C2211yescharacteristic, complemented
113#4972C2211yescharacteristic, complemented
114#4961C2211yescharacteristic, complemented
115#4961C2211yescharacteristic, complemented
116#4960C2211yescharacteristic
117#4960C2211yescharacteristic
118#4960C2211yescharacteristic, complemented
119#4959C2211yescharacteristic, complemented
120#4959C2211yescharacteristic, complemented
121#4958C2211yescharacteristic
122#4958C2211yescharacteristic, complemented
123#4957C2211yescharacteristic, complemented
124#4957C2211yescharacteristic, complemented
125#4957C2211yescharacteristic, complemented
126#4956C2211yescharacteristic, complemented
127#4956C2211yescharacteristic, complemented
128#4955C2211yescharacteristic
129#4955C2211yescharacteristic
130#4955C2211yescharacteristic, complemented
131#4955C2211yescharacteristic, complemented
132#4955C2211yescharacteristic, complemented
133#4950C2211yescharacteristic, complemented
134#4949C2211yescharacteristic, complemented
135#4945C2211yescharacteristic, complemented
136#4942C2211yescharacteristic, complemented
137#4940C2211yescharacteristic, complemented
138#4940C2211yescharacteristic, complemented
139#4939C2211yescharacteristic, complemented
140C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
141C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
142#4676C2211yescharacteristic, complemented
143#4675C2211yescharacteristic, complemented
144#4675C2211yescharacteristic, complemented
145#4675C2211yescharacteristic, complemented
146#4674C2211yescharacteristic, complemented
147#4674C2211yescharacteristic, complemented
148#4673C2211yescharacteristic, complemented
149#4673C2211yescharacteristic, complemented
150#4672C2211yescharacteristic
151#4672C2211yescharacteristic, complemented
152#4672C2211yescharacteristic, complemented
153#4672C2211yescharacteristic, complemented
154#4672C2211yescharacteristic, complemented
155#4672C2211yescharacteristic, complemented
156#4671C2211yescharacteristic
157#4671C2211yescharacteristic
158#4671C2211yescharacteristic
159#4671C2211yescharacteristic, complemented
160#4671C2211yescharacteristic, complemented
161#4671C2211yescharacteristic, complemented
162#4670C2211yescharacteristic, complemented
163#4670C2211yescharacteristic, complemented
164#4670C2211yescharacteristic, complemented
165#4669C2211yescharacteristic, complemented
166#4669C2211yescharacteristic, complemented
167#4668C2211yescharacteristic, complemented
168#4668C2211yescharacteristic, complemented
169#4668C2211yescharacteristic, complemented
170#4668C2211yescharacteristic, complemented
171#4667C2211yescharacteristic, complemented
172#4667C2211yescharacteristic, complemented
173#4667C2211yescharacteristic, complemented
174#4667C2211yescharacteristic, complemented
175#4666C2211yescharacteristic, complemented
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic, complemented
179#4665C2211yescharacteristic, complemented
180#4665C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183#4665C2211yescharacteristic, complemented
184#4665C2211yescharacteristic, complemented
185#4665C2211yescharacteristic, complemented
186#4657C2211yescharacteristic, complemented
187#4657C2211yescharacteristic, complemented
188#4652C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#538—31no—
191C22×#123—31no—
192#2847—31no—
193#2710—31no—
194#2708—31no—
195#2703—31no—
196#2697—31no—
197#2696—31no—
198#2695—31no—
199#2682—31no—
200#2678—31no—
201#2661—31no—
202#2630—31no—
203#2557—31no—
204#2554—31no—
205#2481D311yescharacteristic, complemented
206#2480—31no—
207#2472—31no—
208#2472—31no—
209#2456—31no—
210#2443—31no—
211#2424—31no—
212#2418—31no—
213#2417—31no—
214#2410—31no—
215#2408—31no—
216#2403—31no—
217#2361—31no—
218D4×C22⋊C4—31no—
219#2335—31no—
220C4×#120—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C23×Dic3C2311yescharacteristic
235C23×Dic3C2311yescharacteristic
236C2×D3×D4—24no—
237C2×D3×D4—42no—
238C2×D3×D4—42no—
239C22×D12—24no—
240C22×D12—42no—
241C22×D12—42no—
242C22×D12C2311yescharacteristic
243C22×D12C2311yescharacteristic
244C22×D12C2311yescharacteristic
245C22×D12C2311yescharacteristic
246C22×D12C2311yescharacteristic
247C22×D12C2311yescharacteristic
248C22×D12C2311yescharacteristic
249C22×D12C2311yescharacteristic
250C22×D12C2311yescharacteristic
251C22×D12C2311yescharacteristic
252C22×D12C2311yescharacteristic
253C22×D12C2311yescharacteristic
254C22×C4×D3—24no—
255C22×C4×D3—42no—
256C22×C4×D3—42no—
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C22×C4×D3C2311yescharacteristic
260C22×C4×D3C2311yescharacteristic
261C22×C4×D3C2311yescharacteristic
262C22×C4×D3C2311yescharacteristic
263C22×C4×D3C2311yescharacteristic
264C22×C4×D3C2311yescharacteristic
265C22×Dic6C2311yescharacteristic
266C3×#126—24no—
267C2×C3×C4⋊C4—24no—
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C4⋊C4C2311yescharacteristic
272C2×C3×C4⋊C4C2311yescharacteristic
273C2×C3×C4⋊C4C2311yescharacteristic
274C2×C3×C4⋊C4C2311yescharacteristic
275C2×C3×C4⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C42C2311yescharacteristic
286C2×C3×C42C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292#939—42no—
293#937—42no—
294#930—24no—
295C4×#67—42no—
296C4×#67—42no—
297C2×(C2×D3)⋊C4—24no—
298C2×(C2×D3)⋊C4—24no—
299C2×(C2×D3)⋊C4—24no—
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×C4⋊Dic3C2311yescharacteristic
347C2×C4⋊Dic3C2311yescharacteristic
348C2×C4⋊Dic3C2311yescharacteristic
349C2×C4⋊Dic3C2311yescharacteristic
350C2×Dic3⋊C4—24no—
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364C2×C4×Dic3C2311yescharacteristic
365C2×C4×Dic3C2311yescharacteristic
366C2×C4×Dic3C2311yescharacteristic
367C2×C4×Dic3C2311yescharacteristic
368#898—24no—
369#896—24no—
370#895—24no—
371#895—24no—
372#895—42no—
373#894—24no—
374#894—24no—
375#894—24no—
376#894—24no—
377#894—24no—
378#894—24no—
379#894—24no—
380#894D418yescomplemented
381#893—24no—
382#885—24no—
383#884—24no—
384#884—42no—
385#883—24no—
386#882—24no—
387#882—24no—
388#882—24no—
389#882—42no—
390#882—42no—
391#882—42no—
392#67⋊C4—42no—
393D3×C22⋊C4—24no—
394#878—42no—
395#875—24no—
396C4×D12—24no—
397C4×D12—42no—
398C3×#95C2311yescharacteristic
399C3×#95C2311yescharacteristic
400C3×#95C2311yescharacteristic
401C3×#95C2311yescharacteristic
402C3×#95C2311yescharacteristic
403C3×#95C2311yescharacteristic
404C3×#95C2311yescharacteristic
405C3×#95C2311yescharacteristic
406C3×#95C2311yescharacteristic
407C3×#95C2311yescharacteristic
408C3×#95C2311yescharacteristic
409C3×#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C23×D4—31no—
427C23×D4—31no—
428C24×C4—31no—
429#538—68no—
430C2×#126—31no—
431C2×#126C2×D311yescharacteristic, complemented
432C2×#124—31no—
433C2×#124—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×#123—31no—
439C2×#123—31no—
440C2×#123—31no—
441C2×#123—31no—
442C2×#123—31no—
443C2×#123—68no—
444C2×C22⋊Q8—31no—
445C2×C22⋊Q8—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#120—31no—
454C2×#120—31no—
455C2×#120—31no—
456C2×#120—31no—
457C2×#120—31no—
458C2×#120—31no—
459C2×#120—31no—
460C2×C4×D4—31no—
461C2×C4×D4—31no—
462C2×C4×D4—31no—
463C2×C4×D4—31no—
464C2×C4×D4—31no—
465C2×C4×D4—31no—
466C22×C4⋊C4—31no—
467C22×C4⋊C4C2×D311yescharacteristic, complemented
468C22×C22⋊C4—31no—
469C22×C22⋊C4—31no—
470C22×C22⋊C4—31no—
471C22×C22⋊C4—31no—
472#400C2×D311yescharacteristic, complemented
473#400C2×D311yescharacteristic, complemented
474#399—31no—
475#398—31no—
476#398—31no—
477#398—31no—
478#397—31no—
479#397—31no—
480#397—31no—
481#397—31no—
482#397—31no—
483#397—31no—
484#397C2×D311yescharacteristic, complemented
485#396—31no—
486#396—31no—
487#396—31no—
488#396—31no—
489#396C2×D311yescharacteristic, complemented
490#394—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#393—31no—
502#393—31no—
503#392—31no—
504#392—31no—
505#392—31no—
506#392—31no—
507#392—31no—
508#392—31no—
509#392—31no—
510#392—31no—
511#392—31no—
512#391—31no—
513#390—31no—
514#390—31no—
515#390—31no—
516#390—31no—
517#390—31no—
518#390—31no—
519#390—31no—
520#390—31no—
521#389—31no—
522#389—31no—
523#388—31no—
524#388—31no—
525#388—31no—
526#388—31no—
527#388—31no—
528#388—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#388C2×D311yescharacteristic, complemented
535#387—31no—
536#387C2×D311yescharacteristic, complemented
537#387C2×D311yescharacteristic, complemented
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#386C2×D311yescharacteristic
556#386C2×D311yescharacteristic
557#386C2×D311yescharacteristic
558#385—31no—
559#385—31no—
560#385—31no—
561#385—31no—
562#385—31no—
563#385—31no—
564#385—31no—
565#385C2×D311yescharacteristic, complemented
566#380—31no—
567#380—31no—
568#380—31no—
569#380—31no—
570#380—31no—
571#380C2×D311yescharacteristic, complemented
572#379—31no—
573#379—31no—
574#379—31no—
575#379—31no—
576#379—31no—
577C4×C4⋊C4—31no—
578C4×C22⋊C4—31no—
579C4×C22⋊C4—31no—
580C4×C22⋊C4—31no—
581C4×C22⋊C4—31no—
582C4×C22⋊C4C2×D311yescharacteristic, complemented
583C24×C3C2411yescharacteristic
584C24×C3C2411yescharacteristic
585C23×D3—22no—
586C23×D3—22no—
587C23×D3—22no—
588C23×D3—22no—
589C23×D3—22no—
590C23×D3—22no—
591C23×D3—22no—
592C23×D3—22no—
593C23×D3—22no—
594C23×D3—22no—
595C23×D3—22no—
596C23×D3—41no—
597C23×D3—41no—
598C23×D3—41no—
599C23×D3—41no—
600C23×D3—41no—
601C23×D3—41no—
602C23×D3—41no—
603C23×D3—41no—
604C23×D3—41no—
605C23×D3—41no—
606C23×D3C2411yescharacteristic
607C23×D3C2411yescharacteristic
608C23×D3C2411yescharacteristic
609C23×D3C2411yescharacteristic
610C23×D3C2411yescharacteristic
611C23×D3C2411yescharacteristic
612C2×C3×D4—22no—
613C2×C3×D4—22no—
614C2×C3×D4—22no—
615C22×C3×C4—22no—
616C22×C3×C4—22no—
617C22×C3×C4—22no—
618C22×C3×C4—22no—
619C22×C3×C4—22no—
620C22×C3×C4—22no—
621C22×C3×C4—41no—
622C22×C3×C4—41no—
623C22×C3×C4—41no—
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C22×C3×C4C2411yescharacteristic
627C22×C3×C4C2411yescharacteristic
628C22×C3×C4C2411yescharacteristic
629C22×C3×C4C2411yescharacteristic
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C22×C3×C4C2411yescharacteristic
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
637C2×#67—22no—
638C2×#67—22no—
639C2×#67—22no—
640C2×#67—22no—
641C2×#67—22no—
642C2×#67—22no—
643C2×#67—22no—
644C2×#67—22no—
645C2×#67—22no—
646C2×#67—41no—
647C2×#67—41no—
648C2×#67—41no—
649C2×#67—41no—
650C2×#67—41no—
651C2×#67—41no—
652C2×#67—41no—
653C2×#67—41no—
654C2×#67#4114yes—
655C22×Dic3—22no—
656C22×Dic3—22no—
657C22×Dic3—22no—
658C22×Dic3—22no—
659C22×Dic3—41no—
660C22×Dic3—41no—
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2411yescharacteristic
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666C22×Dic3C2411yescharacteristic
667C22×Dic3C2411yescharacteristic
668C22×Dic3C2411yescharacteristic
669C22×Dic3C2411yescharacteristic
670C22×Dic3C2411yescharacteristic
671D3×D4—416no—
672C2×D12—22no—
673C2×D12—22no—
674C2×D12—22no—
675C2×D12—22no—
676C2×D12—22no—
677C2×D12—22no—
678C2×D12—22no—
679C2×D12—22no—
680C2×D12—22no—
681C2×D12—22no—
682C2×D12—22no—
683C2×D12—22no—
684C2×D12—22no—
685C2×D12—22no—
686C2×D12—22no—
687C2×D12—41no—
688C2×D12—41no—
689C2×D12—41no—
690C2×D12—41no—
691C2×D12—41no—
692C2×D12—41no—
693C2×D12—41no—
694C2×D12—41no—
695C2×D12—41no—
696C2×D12—41no—
697C2×D12—41no—
698C2×D12—416no—
699C2×D12—41no—
700C2×D12—41no—
701C2×D12—41no—
702C2×D12—41no—
703C2×D12—41no—
704C2×D12—41no—
705C2×D12—41no—
706C2×D12—41no—
707C2×D12—41no—
708C2×D12C2×D414yes—
709C2×C4×D3—22no—
710C2×C4×D3—22no—
711C2×C4×D3—22no—
712C2×C4×D3—22no—
713C2×C4×D3—22no—
714C2×C4×D3—22no—
715C2×C4×D3—22no—
716C2×C4×D3—22no—
717C2×C4×D3—22no—
718C2×C4×D3—41no—
719C2×C4×D3—41no—
720C2×C4×D3—41no—
721C2×C4×D3—41no—
722C2×C4×D3—41no—
723C2×C4×D3—41no—
724C2×C4×D3—41no—
725C2×C4×D3—41no—
726C2×C4×D3—416no—
727C2×C4×D3—41no—
728C2×C4×D3—41no—
729C2×C4×D3—41no—
730C2×C4×D3—41no—
731C2×C4×D3—41no—
732C2×C4×D3—41no—
733C2×C4×D3C2×D414yescomplemented
734C2×Dic6—22no—
735C2×Dic6—41no—
736C2×Dic6—41no—
737C3×C4⋊C4—22no—
738C3×C4⋊C4—22no—
739C3×C4⋊C4—22no—
740C3×C4⋊C4—22no—
741C3×C4⋊C4—22no—
742C3×C4⋊C4—41no—
743C3×C4⋊C4—41no—
744C3×C4⋊C4C2×D414yescomplemented
745C3×C22⋊C4—22no—
746C3×C22⋊C4—22no—
747C3×C22⋊C4—22no—
748C3×C22⋊C4—22no—
749C3×C22⋊C4—22no—
750C3×C22⋊C4—22no—
751C3×C22⋊C4—41no—
752C3×C22⋊C4—41no—
753C3×C22⋊C4—41no—
754C3×C42—22no—
755C3×C42—41no—
756#217—22no—
757#217—22no—
758#217—22no—
759#217—41no—
760#217—41no—
761(C2×D3)⋊C4—22no—
762(C2×D3)⋊C4—22no—
763(C2×D3)⋊C4—22no—
764(C2×D3)⋊C4—22no—
765(C2×D3)⋊C4—22no—
766(C2×D3)⋊C4—22no—
767(C2×D3)⋊C4—22no—
768(C2×D3)⋊C4—22no—
769(C2×D3)⋊C4—22no—
770(C2×D3)⋊C4—22no—
771(C2×D3)⋊C4—22no—
772(C2×D3)⋊C4—22no—
773(C2×D3)⋊C4—22no—
774(C2×D3)⋊C4—22no—
775(C2×D3)⋊C4—22no—
776(C2×D3)⋊C4—22no—
777(C2×D3)⋊C4—22no—
778(C2×D3)⋊C4—22no—
779(C2×D3)⋊C4—22no—
780(C2×D3)⋊C4—22no—
781(C2×D3)⋊C4—22no—
782(C2×D3)⋊C4—41no—
783(C2×D3)⋊C4—41no—
784(C2×D3)⋊C4—41no—
785(C2×D3)⋊C4—41no—
786(C2×D3)⋊C4—41no—
787(C2×D3)⋊C4—41no—
788(C2×D3)⋊C4—41no—
789(C2×D3)⋊C4—41no—
790(C2×D3)⋊C4—41no—
791(C2×D3)⋊C4—41no—
792(C2×D3)⋊C4—41no—
793(C2×D3)⋊C4—41no—
794(C2×D3)⋊C4—41no—
795(C2×D3)⋊C4—41no—
796(C2×D3)⋊C4—41no—
797(C2×D3)⋊C4—41no—
798(C2×D3)⋊C4—41no—
799(C2×D3)⋊C4—41no—
800(C2×D3)⋊C4—41no—
801(C2×D3)⋊C4—41no—
802(C2×D3)⋊C4—41no—
803(C2×D3)⋊C4—41no—
804(C2×D3)⋊C4C2×D414yes—
805(C2×D3)⋊C4C2×D414yes—
806(C2×D3)⋊C4C2×D414yescomplemented
807C4⋊Dic3—22no—
808C4⋊Dic3—22no—
809C4⋊Dic3—41no—
810C4⋊Dic3—41no—
811Dic3⋊C4—22no—
812Dic3⋊C4—22no—
813Dic3⋊C4—22no—
814Dic3⋊C4—22no—
815Dic3⋊C4—41no—
816Dic3⋊C4—41no—
817Dic3⋊C4—41no—
818Dic3⋊C4—41no—
819Dic3⋊C4—41no—
820Dic3⋊C4—41no—
821Dic3⋊C4—41no—
822Dic3⋊C4C2×D414yescomplemented
823C4×Dic3—22no—
824C4×Dic3—41no—
825C4×Dic3—41no—
826C4×Dic3—41no—
827C4×Dic3—41no—
828C25—31no—
829C25—31no—
830C25—31no—
831C22×Q8—31no—
832C22×D4—31no—
833C22×D4—31no—
834C22×D4—31no—
835C22×D4—31no—
836C22×D4—31no—
837C22×D4—31no—
838C22×D4—31no—
839C22×D4—31no—
840C22×D4—31no—
841C22×D4—31no—
842C22×D4—31no—
843C22×D4—31no—
844C22×D4—31no—
845C22×D4—31no—
846C22×D4—31no—
847C22×D4—31no—
848C22×D4—31no—
849C22×D4—31no—
850C22×D4—64no—
851C22×D4—64no—
852C22×D4—122no—
853C22×D4—122no—
854C22×D4—122no—
855C22×D4—122no—
856C22×D4C22×D311yescharacteristic
857C23×C4—31no—
858C23×C4—31no—
859C23×C4—31no—
860C23×C4—31no—
861C23×C4—31no—
862C23×C4—31no—
863C23×C4—31no—
864C23×C4—31no—
865C23×C4—31no—
866C23×C4—31no—
867C23×C4—64no—
868C23×C4—122no—
869C23×C4—122no—
870C23×C4C22×D311yescharacteristic
871C23×C4C22×D311yescharacteristic
872C23×C4C22×D311yescharacteristic
873#126—24no—
874#126—64no—
875#124—64no—
876#124—64no—
877#123—38no—
878#123—64no—
879#123—64no—
880#123—64no—
881#123—64no—
882#123—64no—
883#123—64no—
884#123—64no—
885#123—64no—
886C22⋊Q8—64no—
887C22⋊Q8—122no—
888#121—64no—
889#121—64no—
890#121—64no—
891#121—64no—
892#121—122no—
893#121—122no—
894#121—122no—
895#120—64no—
896#120—64no—
897#120—64no—
898#120—122no—
899#120—122no—
900#120—122no—
901#120—122no—
902C4×D4—64no—
903C4×D4—64no—
904C4×D4—122no—
905C4×D4—122no—
906C4×D4—122no—
907C4×D4—122no—
908C2×C4⋊C4—24no—
909C2×C4⋊C4—31no—
910C2×C4⋊C4—31no—
911C2×C4⋊C4—31no—
912C2×C4⋊C4—31no—
913C2×C4⋊C4—31no—
914C2×C4⋊C4—31no—
915C2×C4⋊C4—31no—
916C2×C4⋊C4—31no—
917C2×C4⋊C4—31no—
918C2×C4⋊C4—31no—
919C2×C4⋊C4—31no—
920C2×C4⋊C4—31no—
921C2×C4⋊C4—31no—
922C2×C4⋊C4—31no—
923C2×C4⋊C4—31no—
924C2×C4⋊C4—31no—
925C2×C4⋊C4—64no—
926C2×C4⋊C4C22×D311yescharacteristic
927C2×C4⋊C4C22×D311yescharacteristic
928C2×C4⋊C4C22×D311yescharacteristic
929C2×C4⋊C4C22×D311yescharacteristic
930C2×C4⋊C4C22×D311yescharacteristic
931C2×C4⋊C4C22×D311yescharacteristic
932C2×C4⋊C4C22×D311yescharacteristic
933C2×C4⋊C4C22×D311yescharacteristic
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊C4—31no—
943C2×C22⋊C4—31no—
944C2×C22⋊C4—31no—
945C2×C22⋊C4—31no—
946C2×C22⋊C4—31no—
947C2×C22⋊C4—31no—
948C2×C22⋊C4—31no—
949C2×C22⋊C4—31no—
950C2×C22⋊C4—31no—
951C2×C22⋊C4—31no—
952C2×C22⋊C4—31no—
953C2×C22⋊C4—31no—
954C2×C22⋊C4—31no—
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
957C2×C22⋊C4—31no—
958C2×C22⋊C4—31no—
959C2×C22⋊C4—31no—
960C2×C22⋊C4—31no—
961C2×C22⋊C4—31no—
962C2×C22⋊C4—31no—
963C2×C22⋊C4—31no—
964C2×C22⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—31no—
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—31no—
973C2×C22⋊C4—31no—
974C2×C22⋊C4—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—64no—
986C2×C22⋊C4—64no—
987C2×C22⋊C4—64no—
988C2×C22⋊C4—64no—
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×C42—31no—
999C2×C42—31no—
1000C2×C42—31no—
1001C2×C42—31no—
1002C2×C42—31no—
1003C2×C42C22×D311yescharacteristic
1004C2×C42C22×D311yescharacteristic
1005#95—31no—
1006#95—31no—
1007#95—31no—
1008#95—31no—
1009#95—31no—
1010#95—31no—
1011#95—31no—
1012#95—31no—
1013#95—31no—
1014#95—31no—
1015#95—31no—
1016#95—31no—
1017#95—31no—
1018#95—31no—
1019#95—31no—
1020#95—31no—
1021#95C22×D311yescharacteristic
1022#95C22×D311yescharacteristic
1023#95C22×D311yescharacteristic
1024#95C22×D311yescharacteristic
1025#95C22×D311yescharacteristic
1026#95C22×D311yescharacteristic
1027#95C22×D311yescharacteristic
1028#95C22×D311yescharacteristic
1029#95C22×D311yescharacteristic
1030#95C22×D311yescharacteristic
1031#95C22×D311yescharacteristic
1032#95C22×D311yescharacteristic
1033C23×C3—21no—
1034C23×C3—21no—
1035C23×C3—21no—
1036C23×C3—21no—
1037C23×C3—21no—
1038C23×C3—21no—
1039C23×C3—21no—
1040C23×C3—21no—
1041C23×C3—21no—
1042C23×C3—21no—
1043C23×C3—21no—
1044C23×C3C2×#4112yes—
1045C23×C3H(5,𝔽2)12yes—
1046C23×C3H(5,𝔽2)12yes—
1047C23×C3C2511yescharacteristic
1048C22×D3—28no—
1049C22×D3—21no—
1050C22×D3—21no—
1051C22×D3—21no—
1052C22×D3—21no—
1053C22×D3—21no—
1054C22×D3—21no—
1055C22×D3—21no—
1056C22×D3—21no—
1057C22×D3—21no—
1058C22×D3—21no—
1059C22×D3—21no—
1060C22×D3—21no—
1061C22×D3—21no—
1062C22×D3—21no—
1063C22×D3—21no—
1064C22×D3—21no—
1065C22×D3—21no—
1066C22×D3—21no—
1067C22×D3—21no—
1068C22×D3—21no—
1069C22×D3—21no—
1070C22×D3—21no—
1071C22×D3—21no—
1072C22×D3—21no—
1073C22×D3—21no—
1074C22×D3—21no—
1075C22×D3—21no—
1076C22×D3—21no—
1077C22×D3—21no—
1078C22×D3—21no—
1079C22×D3—21no—
1080C22×D3—21no—
1081C22×D3—21no—
1082C22×D3—21no—
1083C22×D3—21no—
1084C22×D3—21no—
1085C22×D3—21no—
1086C22×D3—21no—
1087C22×D3—44no—
1088C22×D3—44no—
1089C22×D3—44no—
1090C22×D3—44no—
1091C22×D3—44no—
1092C22×D3—44no—
1093C22×D3—44no—
1094C22×D3—44no—
1095C22×D3—44no—
1096C22×D3—44no—
1097C22×D3—44no—
1098C22×D3—44no—
1099C22×D3—82no—
1100C22×D3—82no—
1101C22×D3—82no—
1102C22×D3—82no—
1103C22×D3—82no—
1104C22×D3—82no—
1105C22×D3—82no—
1106C22×D3—82no—
1107C22×D3C22×D412yes—
1108C22×D3C22×D412yes—
1109C22×D3C2×#4112yes—
1110C22×D3H(5,𝔽2)12yes—
1111C3×D4—44no—
1112C2×C3×C4—21no—
1113C2×C3×C4—21no—
1114C2×C3×C4—21no—
1115C2×C3×C4—21no—
1116C2×C3×C4—21no—
1117C2×C3×C4—21no—
1118C2×C3×C4—21no—
1119C2×C3×C4—21no—
1120C2×C3×C4—21no—
1121C2×C3×C4—21no—
1122C2×C3×C4—21no—
1123C2×C3×C4—21no—
1124C2×C3×C4—21no—
1125C2×C3×C4—21no—
1126C2×C3×C4—21no—
1127C2×C3×C4—21no—
1128C2×C3×C4—21no—
1129C2×C3×C4—21no—
1130C2×C3×C4—21no—
1131C2×C3×C4—21no—
1132C2×C3×C4—21no—
1133C2×C3×C4—21no—
1134C2×C3×C4—21no—
1135C2×C3×C4—21no—
1136C2×C3×C4—21no—
1137C2×C3×C4—21no—
1138C2×C3×C4—21no—
1139C2×C3×C4—21no—
1140C2×C3×C4—21no—
1141C2×C3×C4—21no—
1142C2×C3×C4—21no—
1143C2×C3×C4—21no—
1144C2×C3×C4—21no—
1145C2×C3×C4—21no—
1146C2×C3×C4—21no—
1147C2×C3×C4—21no—
1148C2×C3×C4—44no—
1149C2×C3×C4—44no—
1150C2×C3×C4—44no—
1151C2×C3×C4C22×D412yes—
1152C2×C3×C4C22×D412yes—
1153C2×C3×C4C22×D412yes—
1154#67—28no—
1155#67—44no—
1156#67—44no—
1157#67—82no—
1158#67—82no—
1159#67—82no—
1160C2×Dic3—21no—
1161C2×Dic3—21no—
1162C2×Dic3—21no—
1163C2×Dic3—21no—
1164C2×Dic3—21no—
1165C2×Dic3—21no—
1166C2×Dic3—21no—
1167C2×Dic3—21no—
1168C2×Dic3—21no—
1169C2×Dic3—21no—
1170C2×Dic3—21no—
1171C2×Dic3—21no—
1172C2×Dic3—21no—
1173C2×Dic3—21no—
1174C2×Dic3—21no—
1175C2×Dic3—21no—
1176C2×Dic3—21no—
1177C2×Dic3—21no—
1178C2×Dic3—21no—
1179C2×Dic3—21no—
1180C2×Dic3—21no—
1181C2×Dic3—21no—
1182C2×Dic3—21no—
1183C2×Dic3—21no—
1184C2×Dic3—21no—
1185C2×Dic3—21no—
1186C2×Dic3—21no—
1187C2×Dic3—44no—
1188C2×Dic3—44no—
1189C2×Dic3C22×D412yes—
1190C2×Dic3C22×D412yes—
1191C2×Dic3C2×#4112yes—
1192D12—44no—
1193D12—44no—
1194D12—44no—
1195D12—44no—
1196D12—44no—
1197D12—44no—
1198D12—44no—
1199D12—44no—
1200D12—82no—
1201D12—82no—
1202D12—82no—
1203D12—82no—
1204C4×D3—44no—
1205C4×D3—44no—
1206C4×D3—44no—
1207C4×D3—44no—
1208C4×D3—44no—
1209C4×D3—82no—
1210C4×D3—82no—
1211C4×D3—82no—
1212Dic6—82no—
1213C24—31no—
1214C24—31no—
1215C24—31no—
1216C24—31no—
1217C24—31no—
1218C24—31no—
1219C24—62no—
1220C24—62no—
1221C24—62no—
1222C24—62no—
1223C24—62no—
1224C24—62no—
1225C24—62no—
1226C24—62no—
1227C24—62no—
1228C24—62no—
1229C24—62no—
1230C24—121no—
1231C24—121no—
1232C24—121no—
1233C24—121no—
1234C24—121no—
1235C24—121no—
1236C24—121no—
1237C24—121no—
1238C24—121no—
1239C24—121no—
1240C24C23×D311yescharacteristic
1241C24C23×D311yescharacteristic
1242C2×Q8—62no—
1243C2×Q8—121no—
1244C2×Q8—121no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—34no—
1249C2×D4—34no—
1250C2×D4—62no—
1251C2×D4—62no—
1252C2×D4—62no—
1253C2×D4—62no—
1254C2×D4—62no—
1255C2×D4—62no—
1256C2×D4—62no—
1257C2×D4—62no—
1258C2×D4—62no—
1259C2×D4—62no—
1260C2×D4—62no—
1261C2×D4—62no—
1262C2×D4—62no—
1263C2×D4—62no—
1264C2×D4—62no—
1265C2×D4—62no—
1266C2×D4—62no—
1267C2×D4—62no—
1268C2×D4—62no—
1269C2×D4—62no—
1270C2×D4—62no—
1271C2×D4—62no—
1272C2×D4—62no—
1273C2×D4—62no—
1274C2×D4—121no—
1275C2×D4—121no—
1276C2×D4—121no—
1277C2×D4—121no—
1278C2×D4—121no—
1279C2×D4—121no—
1280C2×D4—121no—
1281C2×D4—121no—
1282C2×D4—121no—
1283C2×D4—121no—
1284C2×D4—121no—
1285C2×D4—121no—
1286C2×D4—121no—
1287C2×D4—121no—
1288C2×D4—121no—
1289C2×D4—121no—
1290C2×D4—121no—
1291C2×D4—121no—
1292C2×D4—121no—
1293C2×D4—121no—
1294C2×D4—1216no—
1295C2×D4—121no—
1296C2×D4—121no—
1297C2×D4—121no—
1298C2×D4—121no—
1299C2×D4—121no—
1300C2×D4—121no—
1301C2×D4—121no—
1302C2×D4—121no—
1303C2×D4—1216no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—31no—
1311C22×C4—31no—
1312C22×C4—31no—
1313C22×C4—34no—
1314C22×C4—31no—
1315C22×C4—31no—
1316C22×C4—31no—
1317C22×C4—31no—
1318C22×C4—31no—
1319C22×C4—31no—
1320C22×C4—31no—
1321C22×C4—41no—
1322C22×C4—41no—
1323C22×C4—41no—
1324C22×C4—62no—
1325C22×C4—62no—
1326C22×C4—62no—
1327C22×C4—62no—
1328C22×C4—62no—
1329C22×C4—62no—
1330C22×C4—62no—
1331C22×C4—62no—
1332C22×C4—62no—
1333C22×C4—62no—
1334C22×C4—62no—
1335C22×C4—62no—
1336C22×C4—62no—
1337C22×C4—121no—
1338C22×C4—121no—
1339C22×C4—121no—
1340C22×C4—121no—
1341C22×C4—121no—
1342C22×C4—121no—
1343C22×C4—121no—
1344C22×C4—121no—
1345C22×C4—121no—
1346C22×C4—121no—
1347C22×C4—121no—
1348C22×C4—121no—
1349C22×C4—121no—
1350C22×C4—121no—
1351C22×C4—1216no—
1352C22×C4—121no—
1353C22×C4—121no—
1354C22×C4C23×D311yescharacteristic
1355C22×C4C23×D311yescharacteristic
1356C22×C4C23×D311yescharacteristic
1357C22×C4C23×D311yescharacteristic
1358C22×C4C23×D311yescharacteristic
1359C22×C4C23×D311yescharacteristic
1360C22×C4C23×D311yescharacteristic
1361C22×C4C23×D311yescharacteristic
1362C22×C4C23×D311yescharacteristic
1363C22×C4C23×D311yescharacteristic
1364C22×C4C23×D311yescharacteristic
1365C22×C4C23×D311yescharacteristic
1366C22×C4C23×D311yescharacteristic
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—34no—
1373C4⋊C4—41no—
1374C4⋊C4—41no—
1375C4⋊C4—62no—
1376C4⋊C4—62no—
1377C4⋊C4—62no—
1378C4⋊C4—62no—
1379C4⋊C4—62no—
1380C4⋊C4—62no—
1381C4⋊C4—121no—
1382C4⋊C4—121no—
1383C4⋊C4—121no—
1384C4⋊C4—121no—
1385C4⋊C4—121no—
1386C4⋊C4—121no—
1387C4⋊C4—121no—
1388C4⋊C4—121no—
1389C4⋊C4—121no—
1390C4⋊C4D3×D414yescomplemented
1391C22⋊C4—22no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—22no—
1396C22⋊C4—22no—
1397C22⋊C4—34no—
1398C22⋊C4—34no—
1399C22⋊C4—34no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—62no—
1404C22⋊C4—62no—
1405C22⋊C4—62no—
1406C22⋊C4—62no—
1407C22⋊C4—62no—
1408C22⋊C4—62no—
1409C22⋊C4—62no—
1410C22⋊C4—62no—
1411C22⋊C4—62no—
1412C22⋊C4—62no—
1413C22⋊C4—62no—
1414C22⋊C4—62no—
1415C22⋊C4—62no—
1416C22⋊C4—62no—
1417C22⋊C4—62no—
1418C22⋊C4—62no—
1419C22⋊C4—62no—
1420C22⋊C4—62no—
1421C22⋊C4—62no—
1422C22⋊C4—62no—
1423C22⋊C4—62no—
1424C22⋊C4—62no—
1425C22⋊C4—62no—
1426C22⋊C4—62no—
1427C22⋊C4—121no—
1428C22⋊C4—121no—
1429C22⋊C4—121no—
1430C22⋊C4—121no—
1431C22⋊C4—121no—
1432C22⋊C4—121no—
1433C22⋊C4—121no—
1434C22⋊C4—121no—
1435C22⋊C4—121no—
1436C22⋊C4—121no—
1437C22⋊C4—121no—
1438C22⋊C4—121no—
1439C22⋊C4—121no—
1440C22⋊C4—121no—
1441C22⋊C4—121no—
1442C22⋊C4—121no—
1443C22⋊C4—121no—
1444C22⋊C4—121no—
1445C22⋊C4—121no—
1446C22⋊C4—121no—
1447C22⋊C4—121no—
1448C22⋊C4—121no—
1449C22⋊C4—121no—
1450C22⋊C4—121no—
1451C42—22no—
1452C42—41no—
1453C42—62no—
1454C42—121no—
1455C42—121no—
1456C42—121no—
1457C42—121no—
1458C22×C3—22no—
1459C22×C3—22no—
1460C22×C3—22no—
1461C22×C3—22no—
1462C22×C3—22no—
1463C22×C3—22no—
1464C22×C3—41no—
1465C22×C3—41no—
1466C22×C3—41no—
1467C22×C3—41no—
1468C22×C3—41no—
1469C22×C3—41no—
1470C22×C3—41no—
1471C22×C3#53814yescomplemented
1472C22×C3C23×D411yescharacteristic
1473C22×C3C22×#4111yescharacteristic
1474C22×C3C2×H(5,𝔽2)11yescharacteristic
1475C22×C3C2×H(5,𝔽2)11yescharacteristic
1476C22×C3C2×H(5,𝔽2)11yescharacteristic
1477C22×C3#58511yescharacteristic
1478C22×C3#58511yescharacteristic
1479C2×D3—22no—
1480C2×D3—22no—
1481C2×D3—22no—
1482C2×D3—22no—
1483C2×D3—22no—
1484C2×D3—22no—
1485C2×D3—22no—
1486C2×D3—22no—
1487C2×D3—22no—
1488C2×D3—22no—
1489C2×D3—22no—
1490C2×D3—22no—
1491C2×D3—416no—
1492C2×D3—41no—
1493C2×D3—41no—
1494C2×D3—41no—
1495C2×D3—41no—
1496C2×D3—41no—
1497C2×D3—41no—
1498C2×D3—41no—
1499C2×D3—41no—
1500C2×D3—41no—
1501C2×D3—41no—
1502C2×D3—41no—
1503C2×D3—41no—
1504C2×D3—41no—
1505C2×D3—41no—
1506C2×D3—41no—
1507C2×D3—41no—
1508C2×D3—41no—
1509C2×D3—41no—
1510C2×D3—41no—
1511C2×D3—41no—
1512C2×D3—41no—
1513C2×D3—41no—
1514C2×D3—41no—
1515C2×D3—41no—
1516C2×D3—41no—
1517C2×D3—41no—
1518C2×D3—41no—
1519C2×D3—41no—
1520C2×D3—41no—
1521C2×D3—41no—
1522C2×D3—88no—
1523C2×D3—88no—
1524C3×C4—22no—
1525C3×C4—22no—
1526C3×C4—22no—
1527C3×C4—41no—
1528C3×C4—41no—
1529C3×C4—41no—
1530C3×C4—41no—
1531C3×C4—41no—
1532C3×C4—41no—
1533C3×C4—41no—
1534C3×C4—41no—
1535C3×C4—41no—
1536C3×C4—41no—
1537Dic3—22no—
1538Dic3—22no—
1539Dic3—22no—
1540Dic3—41no—
1541Dic3—41no—
1542Dic3—41no—
1543Dic3—41no—
1544Dic3—41no—
1545Dic3—41no—
1546Dic3—41no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—32no—
1559C23—32no—
1560C23—32no—
1561C23—32no—
1562C23—68no—
1563C23—61no—
1564C23—61no—
1565C23—61no—
1566C23—61no—
1567C23—61no—
1568C23—61no—
1569C23—61no—
1570C23—61no—
1571C23—61no—
1572C23—61no—
1573C23—61no—
1574C23—61no—
1575C23—61no—
1576C23—61no—
1577C23—61no—
1578C23—61no—
1579C23—61no—
1580C23—61no—
1581C23—61no—
1582C23—61no—
1583C23—61no—
1584C23—61no—
1585C23—61no—
1586C23—61no—
1587C23—61no—
1588C23—61no—
1589C23—61no—
1590C23—61no—
1591C23—61no—
1592C23—61no—
1593C23—61no—
1594C23—61no—
1595C23—61no—
1596C23—61no—
1597C23—61no—
1598C23—61no—
1599C23—61no—
1600C23—61no—
1601C23—124no—
1602C23—124no—
1603C23—124no—
1604C23—124no—
1605C23—124no—
1606C23—124no—
1607C23—124no—
1608C23—124no—
1609C23—124no—
1610C23—124no—
1611C23—124no—
1612C23—124no—
1613C23—242no—
1614C23—242no—
1615C23—242no—
1616C23—242no—
1617C23—242no—
1618C23—242no—
1619C23—242no—
1620C23—242no—
1621C23D3×#4112yes—
1622C23#100912yes—
1623C23#100912yes—
1624C23C24×D311yescharacteristic
1625Q8—242no—
1626D4—44no—
1627D4—68no—
1628D4—124no—
1629D4—124no—
1630D4—124no—
1631D4—124no—
1632D4—124no—
1633D4—124no—
1634D4—124no—
1635D4—124no—
1636D4—124no—
1637D4—124no—
1638D4—242no—
1639D4—242no—
1640D4—242no—
1641D4—242no—
1642D4—242no—
1643D4—242no—
1644D4—242no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—32no—
1682C2×C4—32no—
1683C2×C4—32no—
1684C2×C4—44no—
1685C2×C4—44no—
1686C2×C4—44no—
1687C2×C4—61no—
1688C2×C4—61no—
1689C2×C4—61no—
1690C2×C4—61no—
1691C2×C4—61no—
1692C2×C4—61no—
1693C2×C4—61no—
1694C2×C4—61no—
1695C2×C4—61no—
1696C2×C4—61no—
1697C2×C4—61no—
1698C2×C4—61no—
1699C2×C4—61no—
1700C2×C4—61no—
1701C2×C4—61no—
1702C2×C4—61no—
1703C2×C4—61no—
1704C2×C4—61no—
1705C2×C4—61no—
1706C2×C4—61no—
1707C2×C4—61no—
1708C2×C4—61no—
1709C2×C4—61no—
1710C2×C4—61no—
1711C2×C4—61no—
1712C2×C4—61no—
1713C2×C4—61no—
1714C2×C4—124no—
1715C2×C4—124no—
1716C2×C4—124no—
1717C2×C4—124no—
1718C2×C4—124no—
1719C2×C4—124no—
1720C2×C4—124no—
1721C2×C4—242no—
1722C2×C4—242no—
1723C2×C4—242no—
1724C2×C4C2×D3×D412yes—
1725C2×C4C2×D3×D412yes—
1726C2×C4C2×D3×D412yes—
1727C2×C3—24no—
1728C2×C3—81no—
1729C2×C3C2×#53811yescharacteristic
1730C2×C3D4×#4111yescharacteristic
1731C2×C3#348411yescharacteristic
1732C2×C3#348811yescharacteristic
1733C2×C3#351311yescharacteristic
1734C2×C3#353311yescharacteristic
1735C2×C3#353411yescharacteristic
1736D3—42no—
1737D3—42no—
1738D3—42no—
1739D3—42no—
1740D3—81no—
1741D3—81no—
1742C22—22no—
1743C22—22no—
1744C22—22no—
1745C22—22no—
1746C22—22no—
1747C22—22no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—62no—
1756C22—62no—
1757C22—62no—
1758C22—62no—
1759C22—62no—
1760C22—62no—
1761C22—62no—
1762C22—62no—
1763C22—62no—
1764C22—62no—
1765C22—62no—
1766C22—62no—
1767C22—1216no—
1768C22—121no—
1769C22—121no—
1770C22—121no—
1771C22—121no—
1772C22—121no—
1773C22—121no—
1774C22—121no—
1775C22—121no—
1776C22—121no—
1777C22—121no—
1778C22—121no—
1779C22—121no—
1780C22—121no—
1781C22—121no—
1782C22—121no—
1783C22—121no—
1784C22—121no—
1785C22—121no—
1786C22—121no—
1787C22—121no—
1788C22—121no—
1789C22—121no—
1790C22—121no—
1791C22—121no—
1792C22—121no—
1793C22—121no—
1794C22—121no—
1795C22—121no—
1796C22—121no—
1797C22—121no—
1798C22—248no—
1799C22—248no—
1800C22#570414yescomplemented
1801C22C22×D3×D411yescharacteristic
1802C22C2×D3×#4111yescharacteristic
1803C22C2×#100911yescharacteristic
1804C22C2×#100911yescharacteristic
1805C22#596411yescharacteristic
1806C22D3×H(5,𝔽2)11yescharacteristic
1807C22#596811yescharacteristic
1808C4—22no—
1809C4—22no—
1810C4—22no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—41no—
1817C4—41no—
1818C4—41no—
1819C4—41no—
1820C4—41no—
1821C4—62no—
1822C4—62no—
1823C4—62no—
1824C4—121no—
1825C4—121no—
1826C4—121no—
1827C4—121no—
1828C4—121no—
1829C4—121no—
1830C4—121no—
1831C3#3771311yescharacteristic, complemented, Sylow
1832C2—24no—
1833C2—81no—
1834C2—122no—
1835C2—122no—
1836C2—122no—
1837C2—122no—
1838C2—241no—
1839C2—241no—
1840C2#8603711yescharacteristic
1841C2C2×#570411yescharacteristic
1842C2#8645511yescharacteristic
1843C2#8666211yescharacteristic
1844C2#8671311yescharacteristic
1845C2#8686411yescharacteristic
1846C2#8691511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2481C2
hypercenter#2481D3
hypocenterC3#37713
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2481

Complements

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

NH ≅ G/Ntype
1. C2×#5704C2semidirect
2. C22×#894C2semidirect
3. C3×#2481C2semidirect
4. #83108C2semidirect
5. #82163C2semidirect
6. #78371C2semidirect
7. #78241C2semidirect
8. #78240C2semidirect
9. #78239C2semidirect
10. #77701C2semidirect
11. #77690C2semidirect
12. #77437C2semidirect
13. #77432C2semidirect
14. #75910C2semidirect
15. #75845C2semidirect
16. #75377C2semidirect
17. #75358C2semidirect
18. #75323C2semidirect
19. #75302C2semidirect
20. #74935C2semidirect
21. #74888C2semidirect
22. #74884C2semidirect
23. #74878C2semidirect
24. #74727C2semidirect
25. #74702C2semidirect
26. #74605C2semidirect
27. #74452C2semidirect
28. #74016C2semidirect
29. #73889C2semidirect
30. #73594C2semidirect
31. C4×#882C2semidirect
35. C23×C4×D3C22semidirect
36. C2×C3×#126C22semidirect
37. C22×C3×C4⋊C4C22semidirect
42. C2×C4×#67C22semidirect
45. C22×(C2×D3)⋊C4C22semidirect
46. C22×Dic3⋊C4C22semidirect
48. C2×#898C22semidirect
49. C2×#896C22semidirect
51. C2×#895C22semidirect
52. C2×#895C22semidirect
58. C2×#894C22semidirect
59. C2×#894C22semidirect
60. C2×#894C22semidirect
61. C2×#894C22semidirect
62. C2×#893C22semidirect
63. C2×#885C22semidirect
64. C2×#884C22semidirect
65. C2×#884C22semidirect
66. C2×#883C22semidirect
71. C2×#882C22semidirect
72. C2×#882C22semidirect
74. C2×D3×C22⋊C4C22semidirect
75. C2×#878C22semidirect
76. C2×#875C22semidirect
77. C2×C4×D12C22semidirect
78. C2×C4×D12C22semidirect
79. C3×#400C22semidirect
80. C3×#400C22semidirect
81. C3×#397C22semidirect
82. C3×#396C22semidirect
83. C3×#388C22semidirect
84. C3×#387C22semidirect
85. C3×#387C22semidirect
89. C3×#385C22semidirect
90. C3×#380C22semidirect
91. C3×C4×C22⋊C4C22semidirect
94. #5213C22semidirect
95. C4×#217C22semidirect
96. #4994C22semidirect
97. #4994C22semidirect
98. #4994C22semidirect
99. #4992C22semidirect
100. #4991C22semidirect
101. #4990C22semidirect
102. #4990C22semidirect
103. #4990C22semidirect
104. #4989C22semidirect
105. #4989C22semidirect
107. #4988C22semidirect
108. #4988C22semidirect
109. #4988C22semidirect
110. #4983C22semidirect
111. #4976C22semidirect
112. Dic3×C4⋊C4C22semidirect
113. #4972C22semidirect
114. #4961C22semidirect
115. #4961C22semidirect
118. #4960C22semidirect
119. #4959C22semidirect
120. #4959C22semidirect
122. #4958C22semidirect
123. #4957C22semidirect
124. #4957C22semidirect
125. #4957C22semidirect
126. #4956C22semidirect
127. #4956C22semidirect
130. #4955C22semidirect
131. #4955C22semidirect
132. #4955C22semidirect
133. #4950C22semidirect
134. #4949C22semidirect
135. #4945C22semidirect
136. #4942C22semidirect
137. #4940C22semidirect
138. #4940C22semidirect
139. #4939C22semidirect
140. C4×(C2×D3)⋊C4C22semidirect
141. C4×(C2×D3)⋊C4C22semidirect
142. #4676C22semidirect
143. #4675C22semidirect
144. #4675C22semidirect
145. #4675C22semidirect
146. #4674C22semidirect
147. #4674C22semidirect
148. #4673C22semidirect
149. #4673C22semidirect
151. #4672C22semidirect
152. #4672C22semidirect
153. #4672C22semidirect
154. #4672C22semidirect
155. #4672C22semidirect
159. #4671C22semidirect
160. #4671C22semidirect
161. #4671C22semidirect
162. #4670C22semidirect
163. #4670C22semidirect
164. #4670C22semidirect
165. #4669C22semidirect
166. #4669C22semidirect
167. #4668C22semidirect
168. #4668C22semidirect
169. #4668C22semidirect
170. #4668C22semidirect
171. #4667C22semidirect
172. #4667C22semidirect
173. #4667C22semidirect
174. #4667C22semidirect
175. #4666C22semidirect
178. #4665C22semidirect
179. #4665C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. #4665C22semidirect
183. #4665C22semidirect
184. #4665C22semidirect
185. #4665C22semidirect
186. #4657C22semidirect
187. #4657C22semidirect
188. #4652C22semidirect
189. #4646C22semidirect
205. #2481D3semidirect
380. #894D4semidirect
431. C2×#126C2×D3semidirect
467. C22×C4⋊C4C2×D3semidirect
472. #400C2×D3semidirect
473. #400C2×D3semidirect
484. #397C2×D3semidirect
489. #396C2×D3semidirect
534. #388C2×D3semidirect
536. #387C2×D3semidirect
537. #387C2×D3semidirect
565. #385C2×D3semidirect
571. #380C2×D3semidirect
582. C4×C22⋊C4C2×D3semidirect
733. C2×C4×D3C2×D4semidirect
744. C3×C4⋊C4C2×D4semidirect
806. (C2×D3)⋊C4C2×D4semidirect
822. Dic3⋊C4C2×D4semidirect
1390. C4⋊C4D3×D4semidirect
1471. C22×C3#538semidirect
1800. C22#5704semidirect
1831. C3#37713semidirect

Maximal subgroups

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

subgroupindex
C2×#57042
C22×#8942
C3×#24812
#831082
#821632
#783712
#782412
#782402
#782392
#777012
#776902
#774372
#774322
#759102
#758452
#753772
#753582
#753232
#753022
#749352
#748882
#748842
#748782
#747272
#747022
#746052
#744522
#740162
#738892
#735942
C4×#8822
#377133