Finite Group Databasebeta

← #11069624

Subgroups — #11069624

Order 768.

2784 conjugacy classes of subgroups.

The subgroup lattice has 1912 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5704C211yesmaximal, characteristic, complemented
2C2×#5613C211yesmaximal, characteristic, complemented
3C3×#2714C211yesmaximal, characteristic, complemented
4#83084C211yesmaximal, characteristic, complemented
5#82669C211yesmaximal, characteristic, complemented
6#77684C211yesmaximal, characteristic, complemented
7#77493C211yesmaximal, characteristic, complemented
8#77114C211yesmaximal, characteristic, complemented
9#77113C211yesmaximal, characteristic, complemented
10#76946C211yesmaximal, characteristic, complemented
11#76907C211yesmaximal, characteristic, complemented
12#76761C211yesmaximal, characteristic, complemented
13#76732C211yesmaximal, characteristic, complemented
14#76716C211yesmaximal, characteristic, complemented
15#76688C211yesmaximal, characteristic, complemented
16#76673C211yesmaximal, characteristic, complemented
17#76673C211yesmaximal, characteristic, complemented
18#76476C211yesmaximal, characteristic, complemented
19#76442C211yesmaximal, characteristic, complemented
20D3×#390C211yesmaximal, characteristic, complemented
21#76396C211yesmaximal, characteristic, complemented
22#76395C211yesmaximal, characteristic, complemented
23#76352C211yesmaximal, characteristic, complemented
24#75712C211yesmaximal, characteristic, complemented
25#75477C211yesmaximal, characteristic, complemented
26#75160C211yesmaximal, characteristic, complemented
27#74941C211yesmaximal, characteristic, complemented
28#74894C211yesmaximal, characteristic, complemented
29#74708C211yesmaximal, characteristic, complemented
30#74511C211yesmaximal, characteristic, complemented
31#74397C211yesmaximal, characteristic, complemented
32#39383—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C2×C3×#126C2211yescharacteristic, complemented
35C2×C3×#121C2211yescharacteristic, complemented
36C2×#940C2211yescharacteristic
37C2×#940C2211yescharacteristic
38C2×#940C2211yescharacteristic
39C2×#940C2211yescharacteristic
40C2×#940C2211yescharacteristic, complemented
41C2×#939C2211yescharacteristic, complemented
42C2×#939C2211yescharacteristic, complemented
43C2×#938C2211yescharacteristic
44C2×#938C2211yescharacteristic, complemented
45C2×#937C2211yescharacteristic
46C2×#937C2211yescharacteristic
47C2×#937C2211yescharacteristic
48C2×#937C2211yescharacteristic
49C2×#936C2211yescharacteristic, complemented
50C2×#935C2211yescharacteristic, complemented
51C2×#930C2211yescharacteristic, complemented
52C2×#929C2211yescharacteristic, complemented
53C2×C4×#67C2211yescharacteristic
54C2×C4×#67C2211yescharacteristic, complemented
55#5704—28no—
56#5613—28no—
57C2×#898C2211yescharacteristic, complemented
58C2×#898C2211yescharacteristic, complemented
59C2×#896C2211yescharacteristic
60C2×#895C2211yescharacteristic
61C2×#895C2211yescharacteristic, complemented
62C2×#894C2211yescharacteristic, complemented
63C2×#893C2211yescharacteristic
64C2×D3×C4⋊C4C2211yescharacteristic
65C2×#887C2211yescharacteristic, complemented
66C2×#885C2211yescharacteristic, complemented
67C2×#885C2211yescharacteristic, complemented
68C2×#884C2211yescharacteristic
69C2×#884C2211yescharacteristic
70C2×#884C2211yescharacteristic
71C2×#884C2211yescharacteristic
72C2×#884C2211yescharacteristic, complemented
73C2×#884C2211yescharacteristic, complemented
74C2×#883C2211yescharacteristic, complemented
75C2×#882C2211yescharacteristic
76C2×#882C2211yescharacteristic
77C2×#882C2211yescharacteristic
78C2×#882C2211yescharacteristic
79C2×#67⋊C4C2211yescharacteristic
80C2×#67⋊C4C2211yescharacteristic, complemented
81C2×D3×C22⋊C4C2211yescharacteristic
82C2×D3×C22⋊C4C2211yescharacteristic
83C2×D3×C22⋊C4C2211yescharacteristic
84C2×D3×C22⋊C4C2211yescharacteristic
85C2×#879C2211yescharacteristic, complemented
86C2×#875C2211yescharacteristic, complemented
87C2×C4×D12C2211yescharacteristic
88C2×C42×D3C2211yescharacteristic
89C3×#397C2211yescharacteristic, complemented
90C3×#394C2211yescharacteristic, complemented
91C3×#394C2211yescharacteristic, complemented
92C3×#392C2211yescharacteristic
93C3×#392C2211yescharacteristic
94C3×#392C2211yescharacteristic, complemented
95C3×#390C2211yescharacteristic
96C3×#390C2211yescharacteristic, complemented
97C3×#390C2211yescharacteristic, complemented
98C3×#388C2211yescharacteristic, complemented
99C3×#387C2211yescharacteristic, complemented
100C3×#386C2211yescharacteristic, complemented
101C3×#385C2211yescharacteristic, complemented
102#5223C2211yescharacteristic
103#5223C2211yescharacteristic
104#5223C2211yescharacteristic, complemented
105#5223C2211yescharacteristic, complemented
106#5223C2211yescharacteristic, complemented
107#5222C2211yescharacteristic, complemented
108#5222C2211yescharacteristic, complemented
109#5221C2211yescharacteristic
110#4994C2211yescharacteristic, complemented
111#4992C2211yescharacteristic, complemented
112#4991C2211yescharacteristic, complemented
113#4990C2211yescharacteristic, complemented
114#4989C2211yescharacteristic
115#4989C2211yescharacteristic, complemented
116#4988C2211yescharacteristic
117#4988C2211yescharacteristic, complemented
118#4976C2211yescharacteristic, complemented
119#4975C2211yescharacteristic, complemented
120Dic3×C4⋊C4C2211yescharacteristic, complemented
121#4961C2211yescharacteristic, complemented
122#4960C2211yescharacteristic
123#4960C2211yescharacteristic
124#4960C2211yescharacteristic, complemented
125#4960C2211yescharacteristic, complemented
126#4960C2211yescharacteristic, complemented
127#4959C2211yescharacteristic, complemented
128#4959C2211yescharacteristic, complemented
129#4959C2211yescharacteristic, complemented
130#4959C2211yescharacteristic, complemented
131#4959C2211yescharacteristic, complemented
132#4959C2211yescharacteristic, complemented
133#4959C2211yescharacteristic, complemented
134#4958C2211yescharacteristic, complemented
135#4957C2211yescharacteristic
136#4957C2211yescharacteristic
137#4957C2211yescharacteristic
138#4957C2211yescharacteristic
139#4957C2211yescharacteristic
140#4957C2211yescharacteristic
141#4957C2211yescharacteristic
142#4957C2211yescharacteristic
143#4957C2211yescharacteristic, complemented
144#4957C2211yescharacteristic, complemented
145#4957C2211yescharacteristic, complemented
146#4957C2211yescharacteristic, complemented
147#4957C2211yescharacteristic, complemented
148#4957C2211yescharacteristic, complemented
149#4957C2211yescharacteristic, complemented
150#4957C2211yescharacteristic, complemented
151#4956C2211yescharacteristic
152#4956C2211yescharacteristic
153#4956C2211yescharacteristic, complemented
154#4953C2211yescharacteristic, complemented
155#4951C2211yescharacteristic, complemented
156#4950C2211yescharacteristic, complemented
157#4948C2211yescharacteristic, complemented
158#4948C2211yescharacteristic, complemented
159#4945C2211yescharacteristic, complemented
160#4944C2211yescharacteristic, complemented
161#4940C2211yescharacteristic, complemented
162#4939C2211yescharacteristic
163#4939C2211yescharacteristic, complemented
164#4933C2211yescharacteristic, complemented
165C4×Dic3⋊C4C2211yescharacteristic, complemented
166#4676C2211yescharacteristic, complemented
167#4674C2211yescharacteristic, complemented
168#4672C2211yescharacteristic, complemented
169#4672C2211yescharacteristic, complemented
170#4672C2211yescharacteristic, complemented
171#4671C2211yescharacteristic
172#4671C2211yescharacteristic
173#4671C2211yescharacteristic, complemented
174#4670C2211yescharacteristic, complemented
175#4669C2211yescharacteristic, complemented
176#4668C2211yescharacteristic
177#4668C2211yescharacteristic, complemented
178#4667C2211yescharacteristic
179#4666C2211yescharacteristic
180#4666C2211yescharacteristic
181#4665C2211yescharacteristic
182#4665C2211yescharacteristic
183#4665C2211yescharacteristic, complemented
184#4649C2211yescharacteristic, complemented
185#4649C2211yescharacteristic, complemented
186#4649C2211yescharacteristic, complemented
187#4647C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#538—31no—
191C2×#538—31no—
192#2856—31no—
193#2733—31no—
194#2733—31no—
195#2714—31no—
196#2714—31no—
197#2714—31no—
198#2714D311yescharacteristic, complemented
199#2682—31no—
200#2682—31no—
201#2617—31no—
202#2617—31no—
203#2548—31no—
204#2548—31no—
205#2541—31no—
206#2541—31no—
207#2512—31no—
208#2512—31no—
209#2445—31no—
210#2445—31no—
211#2433—31no—
212#2433—31no—
213#2424—31no—
214#2424—31no—
215#2424—31no—
216#2424—31no—
217#2361—31no—
218#2361—31no—
219C4×C22⋊Q8—31no—
220C2×#390—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C23×Dic3C2311yescharacteristic
247C2×D3×D4—24no—
248C2×D3×D4—42no—
249C2×D3×D4—42no—
250C22×D12C2311yescharacteristic
251C22×D12C2311yescharacteristic
252C22×D12C2311yescharacteristic
253C22×D12C2311yescharacteristic
254C22×D12C2311yescharacteristic
255C22×D12C2311yescharacteristic
256C22×D12C2311yescharacteristic
257C22×D12C2311yescharacteristic
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—
267C3×#121—24no—
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C4⋊C4C2311yescharacteristic
272C2×C3×C4⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊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×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C42C2311yescharacteristic
289C2×C3×C42C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297C2×#217C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303#940—42no—
304#940—42no—
305#940—42no—
306#940—42no—
307#940—42no—
308#939—24no—
309#939—42no—
310#938—24no—
311#938—42no—
312#937—24no—
313#937—24no—
314#937—42no—
315#937—42no—
316#936—24no—
317#935—24no—
318#930—42no—
319#929—24no—
320C4×#67—24no—
321C4×#67—42no—
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×(C2×D3)⋊C4C2311yescharacteristic
351C2×(C2×D3)⋊C4C2311yescharacteristic
352C2×(C2×D3)⋊C4C2311yescharacteristic
353C2×(C2×D3)⋊C4C2311yescharacteristic
354C2×C4⋊Dic3C2311yescharacteristic
355C2×C4⋊Dic3C2311yescharacteristic
356C2×C4⋊Dic3C2311yescharacteristic
357C2×C4⋊Dic3C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×Dic3⋊C4C2311yescharacteristic
362C2×Dic3⋊C4C2311yescharacteristic
363C2×Dic3⋊C4C2311yescharacteristic
364C2×Dic3⋊C4C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×C4×Dic3C2311yescharacteristic
373C2×C4×Dic3C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375C2×C4×Dic3C2311yescharacteristic
376C2×C4×Dic3C2311yescharacteristic
377C2×C4×Dic3C2311yescharacteristic
378C2×C4×Dic3C2311yescharacteristic
379C2×C4×Dic3C2311yescharacteristic
380C2×C4×Dic3C2311yescharacteristic
381C2×C4×Dic3C2311yescharacteristic
382#898—24no—
383#898—24no—
384#896D418yescomplemented
385#895—24no—
386#895—24no—
387#894—24no—
388#893—24no—
389D3×C4⋊C4—42no—
390#887—42no—
391#885—24no—
392#885—24no—
393#884—24no—
394#884—24no—
395#884—24no—
396#884—42no—
397#884—42no—
398#884—42no—
399#883—24no—
400#882—24no—
401#882—24no—
402#882—42no—
403#882—42no—
404#67⋊C4—24no—
405#67⋊C4—42no—
406D3×C22⋊C4—24no—
407D3×C22⋊C4—24no—
408D3×C22⋊C4—42no—
409D3×C22⋊C4—42no—
410#879—24no—
411#875—24no—
412C4×D12—24no—
413C42×D3—42no—
414C3×#95C2311yescharacteristic
415C3×#95C2311yescharacteristic
416C3×#95C2311yescharacteristic
417C3×#95C2311yescharacteristic
418C3×#95C2311yescharacteristic
419C3×#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C3⋊#95C2311yescharacteristic
427C3⋊#95C2311yescharacteristic
428C3⋊#95C2311yescharacteristic
429C3⋊#95C2311yescharacteristic
430C3⋊#95C2311yescharacteristic
431C3⋊#95C2311yescharacteristic
432C23×D4—31no—
433#538—68no—
434#538—68no—
435C2×#127—31no—
436C2×#127—31no—
437C2×#127—31no—
438C2×#127—31no—
439C2×#127—31no—
440C2×#126—31no—
441C2×#126—31no—
442C2×#126—31no—
443C2×#126C2×D311yescharacteristic, complemented
444C2×#124—31no—
445C2×#124—31no—
446C2×#124—31no—
447C2×#124—31no—
448C2×#123—31no—
449C2×#123—31no—
450C2×#123—31no—
451C2×#123—31no—
452C2×C22⋊Q8—31no—
453C2×#121—31no—
454C2×#121—31no—
455C2×#121—31no—
456C2×#121—31no—
457C2×#121—31no—
458C2×#121—31no—
459C2×#121—31no—
460C2×#121—31no—
461C2×#121—31no—
462C2×#121—31no—
463C2×#121—31no—
464C2×#121—31no—
465C2×#121—31no—
466C2×#121C2×D311yescharacteristic, complemented
467C2×#120—31no—
468C2×#120—31no—
469C2×#120—31no—
470C2×#120—31no—
471C2×#120—31no—
472C2×#120—31no—
473C2×#120—31no—
474C2×#120—31no—
475C2×C4×Q8—31no—
476C2×C4×D4—31no—
477C2×C4×D4—31no—
478C2×C4×D4—31no—
479C2×C4×D4—31no—
480C2×C4×D4—31no—
481C2×C4×D4—31no—
482C22×C4⋊C4—31no—
483C22×C22⋊C4—31no—
484C22×C22⋊C4—31no—
485C22×C22⋊C4—31no—
486C22×C22⋊C4—31no—
487C22×C42—31no—
488#397—31no—
489#397—31no—
490#397—31no—
491#397C2×D311yescharacteristic, complemented
492#396—31no—
493#396—31no—
494#396—31no—
495#396—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#394—31no—
505#394—31no—
506#394—31no—
507#394—31no—
508#394—31no—
509#394—31no—
510#394C2×D311yescharacteristic, complemented
511#394C2×D311yescharacteristic, complemented
512#392—31no—
513#392—31no—
514#392—31no—
515#392—31no—
516#392—31no—
517#392—31no—
518#392—31no—
519#392—31no—
520#392—31no—
521#392—31no—
522#392—31no—
523#392—31no—
524#392—31no—
525#392C2×D311yescharacteristic
526#392C2×D311yescharacteristic
527#392C2×D311yescharacteristic, complemented
528#391—31no—
529#390—31no—
530#390—31no—
531#390—31no—
532#390—31no—
533#390—31no—
534#390—31no—
535#390—31no—
536#390—31no—
537#390—31no—
538#390—31no—
539#390—31no—
540#390—31no—
541#390—31no—
542#390—31no—
543#390—31no—
544#390—31no—
545#390—31no—
546#390—31no—
547#390—31no—
548#390—31no—
549#390—31no—
550#390C2×D311yescharacteristic
551#390C2×D311yescharacteristic, complemented
552#390C2×D311yescharacteristic, complemented
553#389—31no—
554#389—31no—
555#389—31no—
556#388—31no—
557#388—31no—
558#388—31no—
559#388—31no—
560#388—31no—
561#388—31no—
562#388—31no—
563#388C2×D311yescharacteristic, complemented
564#387—31no—
565#387C2×D311yescharacteristic, complemented
566#386—31no—
567#386—31no—
568#386—31no—
569#386—31no—
570#386—31no—
571#386—31no—
572#386—31no—
573#386C2×D311yescharacteristic, complemented
574#385—31no—
575#385—31no—
576#385—31no—
577#385—31no—
578#385—31no—
579#385C2×D311yescharacteristic, complemented
580#384—31no—
581#380—31no—
582C4×C4⋊C4—31no—
583C4×C4⋊C4—31no—
584C4×C4⋊C4—31no—
585C4×C4⋊C4—31no—
586C4×C4⋊C4—31no—
587C4×C22⋊C4—31no—
588C4×C22⋊C4—31no—
589C24×C3C2411yescharacteristic
590C24×C3C2411yescharacteristic
591C24×C3C2411yescharacteristic
592C24×C3C2411yescharacteristic
593C23×D3—22no—
594C23×D3—22no—
595C23×D3—22no—
596C23×D3—22no—
597C23×D3—22no—
598C23×D3—22no—
599C23×D3—41no—
600C23×D3—41no—
601C23×D3—41no—
602C23×D3—41no—
603C23×D3—41no—
604C23×D3—41no—
605C23×D3—41no—
606C23×D3—41no—
607C23×D3C2411yescharacteristic
608C23×D3C2411yescharacteristic
609C23×D3C2411yescharacteristic
610C23×D3C2411yescharacteristic
611C23×D3C2411yescharacteristic
612C2×C3×D4—22no—
613C2×C3×D4—22no—
614C2×C3×D4—22no—
615C2×C3×D4—22no—
616C2×C3×D4—41no—
617C2×C3×D4—41no—
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×D4—41no—
629C2×C3×D4—41no—
630C22×C3×C4—22no—
631C22×C3×C4—41no—
632C22×C3×C4—41no—
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
642C22×C3×C4C2411yescharacteristic
643C22×C3×C4C2411yescharacteristic
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—22no—
664C2×#67—22no—
665C2×#67—22no—
666C2×#67—22no—
667C2×#67—22no—
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—41no—
679C2×#67—41no—
680C2×#67—41no—
681C2×#67—41no—
682C2×#67—41no—
683C2×#67—41no—
684C2×#67—41no—
685C2×#67—41no—
686C2×#67—41no—
687C2×#67—41no—
688C2×#67—41no—
689C2×#67—41no—
690C2×#67—41no—
691C2×#67—41no—
692C22×Dic3—22no—
693C22×Dic3—41no—
694C22×Dic3—41no—
695C22×Dic3C2411yescharacteristic
696C22×Dic3C2411yescharacteristic
697C22×Dic3C2411yescharacteristic
698C22×Dic3C2411yescharacteristic
699C22×Dic3C2411yescharacteristic
700C22×Dic3C2411yescharacteristic
701C22×Dic3C2411yescharacteristic
702C22×Dic3C2411yescharacteristic
703C22×Dic3C2411yescharacteristic
704C22×Dic3C2411yescharacteristic
705C22×Dic3C2411yescharacteristic
706D3×D4—416no—
707C2×D12—22no—
708C2×D12—22no—
709C2×D12—22no—
710C2×D12—22no—
711C2×D12—22no—
712C2×D12—22no—
713C2×D12—22no—
714C2×D12—22no—
715C2×D12—22no—
716C2×D12—22no—
717C2×D12—41no—
718C2×D12—41no—
719C2×D12—41no—
720C2×D12—41no—
721C2×D12—41no—
722C2×D12—41no—
723C2×D12—41no—
724C2×D12—41no—
725C2×D12—41no—
726C2×D12—41no—
727C2×D12—41no—
728C2×D12—41no—
729C2×D12—41no—
730C2×D12—41no—
731C2×C4×D3—22no—
732C2×C4×D3—22no—
733C2×C4×D3—22no—
734C2×C4×D3—22no—
735C2×C4×D3—22no—
736C2×C4×D3—22no—
737C2×C4×D3—22no—
738C2×C4×D3—22no—
739C2×C4×D3—41no—
740C2×C4×D3—41no—
741C2×C4×D3—41no—
742C2×C4×D3—41no—
743C2×C4×D3—41no—
744C2×C4×D3—41no—
745C2×C4×D3—41no—
746C2×C4×D3—41no—
747C2×C4×D3—41no—
748C2×C4×D3—41no—
749C2×C4×D3—41no—
750C2×C4×D3C2×D414yes—
751C2×C4×D3#4114yes—
752C2×Dic6—41no—
753C2×Dic6—41no—
754C2×Dic6C2×D414yescomplemented
755C3×C4⋊C4—22no—
756C3×C4⋊C4—22no—
757C3×C4⋊C4—41no—
758C3×C4⋊C4—41no—
759C3×C4⋊C4C2×D414yescomplemented
760C3×C22⋊C4—22no—
761C3×C22⋊C4—22no—
762C3×C22⋊C4—22no—
763C3×C22⋊C4—22no—
764C3×C22⋊C4—22no—
765C3×C22⋊C4—22no—
766C3×C22⋊C4—22no—
767C3×C22⋊C4—41no—
768C3×C22⋊C4—41no—
769C3×C22⋊C4—41no—
770C3×C22⋊C4—41no—
771C3×C22⋊C4—41no—
772C3×C22⋊C4—41no—
773C3×C22⋊C4—41no—
774C3×C22⋊C4—41no—
775C3×C42—22no—
776C3×C42—41no—
777#217—22no—
778#217—22no—
779#217—22no—
780#217—22no—
781#217—22no—
782#217—22no—
783#217—22no—
784#217—22no—
785#217—22no—
786#217—41no—
787#217—41no—
788#217—41no—
789#217—41no—
790(C2×D3)⋊C4—22no—
791(C2×D3)⋊C4—22no—
792(C2×D3)⋊C4—22no—
793(C2×D3)⋊C4—22no—
794(C2×D3)⋊C4—22no—
795(C2×D3)⋊C4—22no—
796(C2×D3)⋊C4—22no—
797(C2×D3)⋊C4—22no—
798(C2×D3)⋊C4—22no—
799(C2×D3)⋊C4—22no—
800(C2×D3)⋊C4—22no—
801(C2×D3)⋊C4—22no—
802(C2×D3)⋊C4—22no—
803(C2×D3)⋊C4—22no—
804(C2×D3)⋊C4—22no—
805(C2×D3)⋊C4—22no—
806(C2×D3)⋊C4—22no—
807(C2×D3)⋊C4—22no—
808(C2×D3)⋊C4—41no—
809(C2×D3)⋊C4—41no—
810(C2×D3)⋊C4—41no—
811(C2×D3)⋊C4—41no—
812(C2×D3)⋊C4—41no—
813(C2×D3)⋊C4—41no—
814(C2×D3)⋊C4—41no—
815(C2×D3)⋊C4—41no—
816(C2×D3)⋊C4—41no—
817(C2×D3)⋊C4—41no—
818(C2×D3)⋊C4—41no—
819(C2×D3)⋊C4—41no—
820(C2×D3)⋊C4C2×D414yes—
821(C2×D3)⋊C4C2×D414yes—
822C4⋊Dic3—22no—
823C4⋊Dic3—22no—
824C4⋊Dic3—22no—
825C4⋊Dic3—41no—
826Dic3⋊C4—22no—
827Dic3⋊C4—22no—
828Dic3⋊C4—22no—
829Dic3⋊C4—22no—
830Dic3⋊C4—22no—
831Dic3⋊C4—22no—
832Dic3⋊C4—22no—
833Dic3⋊C4—41no—
834Dic3⋊C4—41no—
835Dic3⋊C4—41no—
836Dic3⋊C4—41no—
837Dic3⋊C4—41no—
838Dic3⋊C4C2×D414yescomplemented
839Dic3⋊C4C2×D414yescomplemented
840C4×Dic3—22no—
841C4×Dic3—22no—
842C4×Dic3—22no—
843C4×Dic3—22no—
844C4×Dic3—22no—
845C4×Dic3—22no—
846C4×Dic3—22no—
847C4×Dic3—22no—
848C4×Dic3—22no—
849C4×Dic3—41no—
850C25—31no—
851C25—31no—
852C22×Q8—31no—
853C22×D4—31no—
854C22×D4—31no—
855C22×D4—31no—
856C22×D4—31no—
857C22×D4—31no—
858C22×D4—31no—
859C22×D4—31no—
860C22×D4—31no—
861C22×D4—31no—
862C22×D4—31no—
863C22×D4—31no—
864C22×D4—31no—
865C22×D4—31no—
866C22×D4—31no—
867C22×D4—31no—
868C22×D4—31no—
869C22×D4—31no—
870C22×D4—31no—
871C22×D4—31no—
872C22×D4—31no—
873C22×D4—31no—
874C22×D4—31no—
875C22×D4—31no—
876C22×D4—31no—
877C22×D4—64no—
878C22×D4—122no—
879C22×D4—122no—
880C22×D4C22×D311yescharacteristic
881C22×D4C22×D311yescharacteristic
882C22×D4C22×D311yescharacteristic
883C22×D4C22×D311yescharacteristic
884C22×D4C22×D311yescharacteristic
885C22×D4C22×D311yescharacteristic
886C23×C4—31no—
887C23×C4—31no—
888C23×C4—31no—
889C23×C4—31no—
890C23×C4—31no—
891C23×C4—31no—
892C23×C4—31no—
893C23×C4—31no—
894C23×C4C22×D311yescharacteristic
895#127—122no—
896#127—122no—
897#127—122no—
898#127—122no—
899#127—122no—
900#126—24no—
901#126—64no—
902#126—64no—
903#126—64no—
904#124—64no—
905#124—64no—
906#124—64no—
907#124—64no—
908#123—64no—
909#123—64no—
910#123—64no—
911#123—64no—
912C22⋊Q8—38no—
913#121—24no—
914#121—64no—
915#121—64no—
916#121—64no—
917#121—64no—
918#121—64no—
919#121—64no—
920#121—64no—
921#121—122no—
922#121—122no—
923#121—122no—
924#121—122no—
925#121—122no—
926#121—122no—
927#120—64no—
928#120—64no—
929#120—64no—
930#120—64no—
931#120—122no—
932#120—122no—
933#120—122no—
934#120—122no—
935C4×Q8—122no—
936C4×D4—64no—
937C4×D4—64no—
938C4×D4—64no—
939C4×D4—64no—
940C4×D4—122no—
941C4×D4—122no—
942C2×C4⋊C4—31no—
943C2×C4⋊C4—31no—
944C2×C4⋊C4—31no—
945C2×C4⋊C4—31no—
946C2×C4⋊C4—31no—
947C2×C4⋊C4—31no—
948C2×C4⋊C4—31no—
949C2×C4⋊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—122no—
961C2×C4⋊C4C22×D311yescharacteristic
962C2×C4⋊C4C22×D311yescharacteristic
963C2×C4⋊C4C22×D311yescharacteristic
964C2×C4⋊C4C22×D311yescharacteristic
965C2×C4⋊C4C22×D311yescharacteristic
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—64no—
1012C2×C22⋊C4—64no—
1013C2×C22⋊C4—122no—
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×C42—31no—
1031C2×C42—31no—
1032C2×C42—31no—
1033C2×C42—31no—
1034C2×C42—31no—
1035C2×C42—31no—
1036C2×C42—31no—
1037C2×C42—31no—
1038C2×C42—31no—
1039C2×C42—31no—
1040C2×C42—122no—
1041C2×C42C22×D311yescharacteristic
1042C2×C42C22×D311yescharacteristic
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#95C22×D311yescharacteristic
1056#95C22×D311yescharacteristic
1057#95C22×D311yescharacteristic
1058#95C22×D311yescharacteristic
1059#95C22×D311yescharacteristic
1060#95C22×D311yescharacteristic
1061C23×C3—21no—
1062C23×C3—21no—
1063C23×C3—21no—
1064C23×C3—21no—
1065C23×C3—21no—
1066C23×C3—21no—
1067C23×C3—21no—
1068C23×C3—21no—
1069C23×C3—21no—
1070C23×C3—21no—
1071C23×C3—21no—
1072C23×C3—21no—
1073C23×C3—21no—
1074C23×C3—21no—
1075C23×C3—21no—
1076C23×C3—21no—
1077C23×C3—21no—
1078C23×C3—21no—
1079C23×C3—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×C3C2511yescharacteristic
1090C22×D3—21no—
1091C22×D3—21no—
1092C22×D3—21no—
1093C22×D3—21no—
1094C22×D3—21no—
1095C22×D3—21no—
1096C22×D3—21no—
1097C22×D3—21no—
1098C22×D3—21no—
1099C22×D3—21no—
1100C22×D3—21no—
1101C22×D3—21no—
1102C22×D3—21no—
1103C22×D3—21no—
1104C22×D3—21no—
1105C22×D3—21no—
1106C22×D3—21no—
1107C22×D3—21no—
1108C22×D3—21no—
1109C22×D3—21no—
1110C22×D3—21no—
1111C22×D3—21no—
1112C22×D3—21no—
1113C22×D3—21no—
1114C22×D3—21no—
1115C22×D3—21no—
1116C22×D3—21no—
1117C22×D3—21no—
1118C22×D3—21no—
1119C22×D3—21no—
1120C22×D3—21no—
1121C22×D3—21no—
1122C22×D3—44no—
1123C22×D3—44no—
1124C22×D3—44no—
1125C22×D3—44no—
1126C22×D3—44no—
1127C22×D3—44no—
1128C22×D3—82no—
1129C22×D3—82no—
1130C22×D3—82no—
1131C22×D3—82no—
1132C22×D3—82no—
1133C22×D3—82no—
1134C22×D3—82no—
1135C22×D3—82no—
1136C22×D3C22×D412yes—
1137C22×D3C2×#4112yes—
1138C22×D3H(5,𝔽2)12yes—
1139C3×D4—44no—
1140C3×D4—82no—
1141C3×D4—82no—
1142C3×D4—82no—
1143C3×D4—82no—
1144C3×D4—82no—
1145C2×C3×C4—21no—
1146C2×C3×C4—21no—
1147C2×C3×C4—21no—
1148C2×C3×C4—21no—
1149C2×C3×C4—21no—
1150C2×C3×C4—21no—
1151C2×C3×C4—21no—
1152C2×C3×C4—21no—
1153C2×C3×C4—21no—
1154C2×C3×C4—21no—
1155C2×C3×C4—21no—
1156C2×C3×C4—21no—
1157C2×C3×C4—21no—
1158C2×C3×C4—21no—
1159C2×C3×C4—21no—
1160C2×C3×C4—21no—
1161C2×C3×C4—21no—
1162C2×C3×C4—21no—
1163C2×C3×C4—21no—
1164C2×C3×C4—21no—
1165C2×C3×C4—21no—
1166C2×C3×C4—21no—
1167C2×C3×C4—21no—
1168C2×C3×C4—21no—
1169C2×C3×C4—21no—
1170C2×C3×C4—21no—
1171C2×C3×C4—21no—
1172C2×C3×C4—21no—
1173C2×C3×C4—21no—
1174C2×C3×C4—82no—
1175C2×C3×C4C22×D412yes—
1176C2×C3×C4C22×D412yes—
1177C2×C3×C4C22×D412yes—
1178C2×C3×C4C2×#4112yes—
1179#67—44no—
1180#67—44no—
1181#67—44no—
1182#67—44no—
1183#67—44no—
1184#67—44no—
1185#67—82no—
1186#67—82no—
1187#67—82no—
1188#67—82no—
1189#67—82no—
1190#67—82no—
1191#67—82no—
1192#67—82no—
1193#67—82no—
1194#67—82no—
1195C2×Dic3—21no—
1196C2×Dic3—21no—
1197C2×Dic3—21no—
1198C2×Dic3—21no—
1199C2×Dic3—21no—
1200C2×Dic3—21no—
1201C2×Dic3—21no—
1202C2×Dic3—21no—
1203C2×Dic3—21no—
1204C2×Dic3—21no—
1205C2×Dic3—21no—
1206C2×Dic3—21no—
1207C2×Dic3—21no—
1208C2×Dic3—21no—
1209C2×Dic3—21no—
1210C2×Dic3—21no—
1211C2×Dic3—21no—
1212C2×Dic3—21no—
1213C2×Dic3—21no—
1214C2×Dic3—21no—
1215C2×Dic3—21no—
1216C2×Dic3—21no—
1217C2×Dic3—21no—
1218C2×Dic3—21no—
1219C2×Dic3—21no—
1220C2×Dic3—21no—
1221C2×Dic3—82no—
1222C2×Dic3C22×D412yes—
1223C2×Dic3C22×D412yes—
1224C2×Dic3C22×D412yes—
1225C2×Dic3C2×#4112yes—
1226C2×Dic3H(5,𝔽2)12yes—
1227C2×Dic3H(5,𝔽2)12yes—
1228C2×Dic3H(5,𝔽2)12yes—
1229D12—44no—
1230D12—44no—
1231D12—44no—
1232D12—82no—
1233D12—82no—
1234D12—82no—
1235D12—82no—
1236D12—82no—
1237C4×D3—28no—
1238C4×D3—44no—
1239C4×D3—44no—
1240C4×D3—82no—
1241C4×D3—82no—
1242C4×D3—82no—
1243C4×D3—82no—
1244Dic6—44no—
1245C24—31no—
1246C24—31no—
1247C24—31no—
1248C24—31no—
1249C24—31no—
1250C24—62no—
1251C24—62no—
1252C24—62no—
1253C24—62no—
1254C24—62no—
1255C24—62no—
1256C24—121no—
1257C24—121no—
1258C24—121no—
1259C24—121no—
1260C24—121no—
1261C24—121no—
1262C24—121no—
1263C24—121no—
1264C24C23×D311yescharacteristic
1265C24C23×D311yescharacteristic
1266C24C23×D311yescharacteristic
1267C24C23×D311yescharacteristic
1268C2×Q8—34no—
1269C2×Q8—121no—
1270C2×Q8—121no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—41no—
1276C2×D4—41no—
1277C2×D4—41no—
1278C2×D4—41no—
1279C2×D4—41no—
1280C2×D4—41no—
1281C2×D4—41no—
1282C2×D4—41no—
1283C2×D4—41no—
1284C2×D4—41no—
1285C2×D4—41no—
1286C2×D4—41no—
1287C2×D4—41no—
1288C2×D4—41no—
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—62no—
1306C2×D4—62no—
1307C2×D4—62no—
1308C2×D4—62no—
1309C2×D4—62no—
1310C2×D4—62no—
1311C2×D4—62no—
1312C2×D4—62no—
1313C2×D4—62no—
1314C2×D4—62no—
1315C2×D4—62no—
1316C2×D4—62no—
1317C2×D4—62no—
1318C2×D4—62no—
1319C2×D4—62no—
1320C2×D4—62no—
1321C2×D4—62no—
1322C2×D4—62no—
1323C2×D4—121no—
1324C2×D4—121no—
1325C2×D4—121no—
1326C2×D4—121no—
1327C2×D4—121no—
1328C2×D4—121no—
1329C2×D4—121no—
1330C2×D4—121no—
1331C2×D4—121no—
1332C2×D4—121no—
1333C2×D4—121no—
1334C2×D4—121no—
1335C2×D4—121no—
1336C2×D4—121no—
1337C2×D4—1216no—
1338C2×D4—121no—
1339C2×D4—121no—
1340C2×D4—121no—
1341C2×D4—121no—
1342C2×D4—121no—
1343C2×D4—121no—
1344C2×D4—121no—
1345C2×D4—121no—
1346C2×D4—121no—
1347C2×D4—121no—
1348C2×D4—121no—
1349C2×D4—121no—
1350C2×D4—121no—
1351C2×D4—121no—
1352C2×D4—121no—
1353C2×D4—121no—
1354C2×D4—121no—
1355C2×D4—121no—
1356C2×D4—121no—
1357C2×D4—121no—
1358C2×D4—121no—
1359C2×D4—121no—
1360C2×D4—121no—
1361C2×D4—121no—
1362C22×C4—22no—
1363C22×C4—31no—
1364C22×C4—31no—
1365C22×C4—31no—
1366C22×C4—31no—
1367C22×C4—31no—
1368C22×C4—34no—
1369C22×C4—34no—
1370C22×C4—31no—
1371C22×C4—31no—
1372C22×C4—31no—
1373C22×C4—31no—
1374C22×C4—31no—
1375C22×C4—31no—
1376C22×C4—41no—
1377C22×C4—41no—
1378C22×C4—62no—
1379C22×C4—62no—
1380C22×C4—62no—
1381C22×C4—62no—
1382C22×C4—62no—
1383C22×C4—62no—
1384C22×C4—62no—
1385C22×C4—62no—
1386C22×C4—62no—
1387C22×C4—121no—
1388C22×C4—121no—
1389C22×C4—121no—
1390C22×C4—121no—
1391C22×C4—121no—
1392C22×C4—121no—
1393C22×C4—121no—
1394C22×C4—121no—
1395C22×C4—121no—
1396C22×C4—121no—
1397C22×C4—121no—
1398C22×C4—121no—
1399C22×C4—121no—
1400C22×C4C23×D311yescharacteristic
1401C22×C4C23×D311yescharacteristic
1402C22×C4C23×D311yescharacteristic
1403C22×C4C23×D311yescharacteristic
1404C22×C4C23×D311yescharacteristic
1405C22×C4C23×D311yescharacteristic
1406C22×C4C23×D311yescharacteristic
1407C22×C4C23×D311yescharacteristic
1408C22×C4C23×D311yescharacteristic
1409C22×C4C23×D311yescharacteristic
1410C22×C4C23×D311yescharacteristic
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—34no—
1414C4⋊C4—34no—
1415C4⋊C4—41no—
1416C4⋊C4—41no—
1417C4⋊C4—62no—
1418C4⋊C4—62no—
1419C4⋊C4—62no—
1420C4⋊C4—62no—
1421C4⋊C4—62no—
1422C4⋊C4—62no—
1423C4⋊C4—62no—
1424C4⋊C4—62no—
1425C4⋊C4—62no—
1426C4⋊C4—62no—
1427C4⋊C4—121no—
1428C4⋊C4—121no—
1429C4⋊C4—121no—
1430C4⋊C4—121no—
1431C4⋊C4—121no—
1432C4⋊C4—121no—
1433C4⋊C4D3×D414yescomplemented
1434C22⋊C4—22no—
1435C22⋊C4—22no—
1436C22⋊C4—22no—
1437C22⋊C4—22no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—34no—
1442C22⋊C4—34no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—62no—
1452C22⋊C4—62no—
1453C22⋊C4—62no—
1454C22⋊C4—62no—
1455C22⋊C4—62no—
1456C22⋊C4—62no—
1457C22⋊C4—62no—
1458C22⋊C4—62no—
1459C22⋊C4—62no—
1460C22⋊C4—62no—
1461C22⋊C4—62no—
1462C22⋊C4—62no—
1463C22⋊C4—62no—
1464C22⋊C4—62no—
1465C22⋊C4—62no—
1466C22⋊C4—62no—
1467C22⋊C4—62no—
1468C22⋊C4—62no—
1469C22⋊C4—62no—
1470C22⋊C4—62no—
1471C22⋊C4—62no—
1472C22⋊C4—62no—
1473C22⋊C4—62no—
1474C22⋊C4—62no—
1475C22⋊C4—62no—
1476C22⋊C4—62no—
1477C22⋊C4—62no—
1478C22⋊C4—121no—
1479C22⋊C4—121no—
1480C22⋊C4—121no—
1481C22⋊C4—121no—
1482C22⋊C4—121no—
1483C22⋊C4—121no—
1484C22⋊C4—121no—
1485C22⋊C4—121no—
1486C22⋊C4—121no—
1487C22⋊C4—121no—
1488C22⋊C4—121no—
1489C22⋊C4—121no—
1490C22⋊C4—121no—
1491C22⋊C4—121no—
1492C22⋊C4—121no—
1493C22⋊C4—121no—
1494C42—22no—
1495C42—41no—
1496C42—62no—
1497C42—62no—
1498C42—62no—
1499C42—62no—
1500C42—62no—
1501C42—62no—
1502C42—62no—
1503C42—62no—
1504C42—62no—
1505C42—121no—
1506C22×C3—41no—
1507C22×C3—41no—
1508C22×C3—41no—
1509C22×C3—41no—
1510C22×C3—41no—
1511C22×C3—41no—
1512C22×C3—41no—
1513C22×C3—41no—
1514C22×C3—41no—
1515C22×C3—41no—
1516C22×C3—41no—
1517C22×C3—41no—
1518C22×C3—41no—
1519C22×C3—41no—
1520C22×C3—41no—
1521C22×C3—41no—
1522C22×C3—41no—
1523C22×C3—41no—
1524C22×C3—41no—
1525C22×C3—41no—
1526C22×C3—41no—
1527C22×C3—41no—
1528C22×C3—41no—
1529C22×C3—41no—
1530C22×C3—41no—
1531C22×C3—41no—
1532C22×C3—41no—
1533C22×C3—41no—
1534C22×C3C23×D411yescharacteristic
1535C22×C3C22×#4111yescharacteristic
1536C22×C3C2×H(5,𝔽2)11yescharacteristic
1537C22×C3C2×H(5,𝔽2)11yescharacteristic
1538C22×C3C2×H(5,𝔽2)11yescharacteristic
1539C22×C3C2×H(5,𝔽2)11yescharacteristic
1540C22×C3#58511yescharacteristic
1541C2×D3—22no—
1542C2×D3—22no—
1543C2×D3—22no—
1544C2×D3—22no—
1545C2×D3—22no—
1546C2×D3—22no—
1547C2×D3—41no—
1548C2×D3—41no—
1549C2×D3—41no—
1550C2×D3—41no—
1551C2×D3—41no—
1552C2×D3—41no—
1553C2×D3—41no—
1554C2×D3—41no—
1555C2×D3—41no—
1556C2×D3—41no—
1557C2×D3—41no—
1558C2×D3—41no—
1559C2×D3—41no—
1560C2×D3—41no—
1561C2×D3—41no—
1562C2×D3—41no—
1563C2×D3—41no—
1564C2×D3—41no—
1565C2×D3—41no—
1566C2×D3—41no—
1567C2×D3—41no—
1568C2×D3—41no—
1569C2×D3—41no—
1570C2×D3—41no—
1571C2×D3—41no—
1572C2×D3—41no—
1573C2×D3—41no—
1574C2×D3—41no—
1575C2×D3—88no—
1576C2×D3—88no—
1577C2×D3#55014yes—
1578C3×C4—22no—
1579C3×C4—22no—
1580C3×C4—22no—
1581C3×C4—22no—
1582C3×C4—41no—
1583C3×C4—41no—
1584C3×C4—41no—
1585C3×C4—41no—
1586C3×C4—41no—
1587C3×C4—41no—
1588C3×C4—41no—
1589Dic3—22no—
1590Dic3—22no—
1591Dic3—22no—
1592Dic3—22no—
1593Dic3—41no—
1594Dic3—41no—
1595Dic3—41no—
1596Dic3—41no—
1597Dic3—41no—
1598Dic3—41no—
1599Dic3#53814yescomplemented
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—32no—
1629C23—32no—
1630C23—32no—
1631C23—61no—
1632C23—61no—
1633C23—61no—
1634C23—61no—
1635C23—61no—
1636C23—61no—
1637C23—61no—
1638C23—61no—
1639C23—61no—
1640C23—61no—
1641C23—61no—
1642C23—61no—
1643C23—61no—
1644C23—61no—
1645C23—61no—
1646C23—61no—
1647C23—61no—
1648C23—61no—
1649C23—61no—
1650C23—61no—
1651C23—61no—
1652C23—61no—
1653C23—61no—
1654C23—61no—
1655C23—61no—
1656C23—61no—
1657C23—61no—
1658C23—61no—
1659C23—61no—
1660C23—61no—
1661C23—61no—
1662C23—61no—
1663C23—124no—
1664C23—124no—
1665C23—124no—
1666C23—124no—
1667C23—124no—
1668C23—124no—
1669C23—242no—
1670C23—242no—
1671C23—242no—
1672C23—242no—
1673C23—242no—
1674C23—242no—
1675C23—242no—
1676C23—242no—
1677C23C24×D311yescharacteristic
1678Q8—124no—
1679D4—44no—
1680D4—82no—
1681D4—82no—
1682D4—82no—
1683D4—82no—
1684D4—82no—
1685D4—124no—
1686D4—124no—
1687D4—124no—
1688D4—124no—
1689D4—124no—
1690D4—124no—
1691D4—124no—
1692D4—124no—
1693D4—124no—
1694D4—242no—
1695D4—242no—
1696D4—242no—
1697D4—242no—
1698D4—242no—
1699D4—242no—
1700D4—242no—
1701D4—242no—
1702D4—242no—
1703D4—242no—
1704D4—242no—
1705D4—242no—
1706D4—242no—
1707D4—242no—
1708D4—242no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—32no—
1739C2×C4—32no—
1740C2×C4—32no—
1741C2×C4—32no—
1742C2×C4—32no—
1743C2×C4—32no—
1744C2×C4—32no—
1745C2×C4—68no—
1746C2×C4—61no—
1747C2×C4—61no—
1748C2×C4—61no—
1749C2×C4—61no—
1750C2×C4—61no—
1751C2×C4—61no—
1752C2×C4—61no—
1753C2×C4—61no—
1754C2×C4—61no—
1755C2×C4—61no—
1756C2×C4—61no—
1757C2×C4—61no—
1758C2×C4—61no—
1759C2×C4—61no—
1760C2×C4—61no—
1761C2×C4—61no—
1762C2×C4—61no—
1763C2×C4—61no—
1764C2×C4—61no—
1765C2×C4—61no—
1766C2×C4—61no—
1767C2×C4—61no—
1768C2×C4—61no—
1769C2×C4—61no—
1770C2×C4—61no—
1771C2×C4—61no—
1772C2×C4—82no—
1773C2×C4—124no—
1774C2×C4—124no—
1775C2×C4—242no—
1776C2×C4—242no—
1777C2×C4—242no—
1778C2×C4—242no—
1779C2×C4—242no—
1780C2×C4C2×D3×D412yes—
1781C2×C4C2×D3×D412yes—
1782C2×C4C2×D3×D412yes—
1783C2×C4D3×#4112yes—
1784C2×C3—81no—
1785C2×C3—81no—
1786C2×C3—81no—
1787C2×C3—81no—
1788C2×C3C2×#53811yescharacteristic
1789C2×C3C2×#55011yescharacteristic
1790C2×C3#349611yescharacteristic
1791C2×C3#349811yescharacteristic
1792C2×C3#350611yescharacteristic
1793C2×C3#353711yescharacteristic
1794C2×C3#355811yescharacteristic
1795D3—24no—
1796D3—81no—
1797D3—81no—
1798D3—81no—
1799D3—81no—
1800C22—34no—
1801C22—41no—
1802C22—41no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—62no—
1830C22—62no—
1831C22—62no—
1832C22—62no—
1833C22—62no—
1834C22—62no—
1835C22—121no—
1836C22—121no—
1837C22—121no—
1838C22—121no—
1839C22—121no—
1840C22—121no—
1841C22—121no—
1842C22—121no—
1843C22—121no—
1844C22—121no—
1845C22—121no—
1846C22—121no—
1847C22—121no—
1848C22—121no—
1849C22—121no—
1850C22—121no—
1851C22—121no—
1852C22—121no—
1853C22—121no—
1854C22—121no—
1855C22—121no—
1856C22—121no—
1857C22—121no—
1858C22—121no—
1859C22—121no—
1860C22—121no—
1861C22—121no—
1862C22—121no—
1863C22—248no—
1864C22—248no—
1865C22C22×D3×D411yescharacteristic
1866C22C2×D3×#4111yescharacteristic
1867C22#596411yescharacteristic
1868C22D3×H(5,𝔽2)11yescharacteristic
1869C22D3×H(5,𝔽2)11yescharacteristic
1870C22D3×H(5,𝔽2)11yescharacteristic
1871C22D3×H(5,𝔽2)11yescharacteristic
1872C4—22no—
1873C4—22no—
1874C4—22no—
1875C4—22no—
1876C4—34no—
1877C4—41no—
1878C4—41no—
1879C4—41no—
1880C4—41no—
1881C4—41no—
1882C4—41no—
1883C4—41no—
1884C4—62no—
1885C4—62no—
1886C4—62no—
1887C4—62no—
1888C4—121no—
1889C4—121no—
1890C4—121no—
1891C4—121no—
1892C4—121no—
1893C4—121no—
1894C3#3938311yescharacteristic, complemented, Sylow
1895C2—64no—
1896C2—81no—
1897C2—81no—
1898C2—81no—
1899C2—81no—
1900C2—241no—
1901C2—241no—
1902C2—241no—
1903C2—241no—
1904C2#8631611yescharacteristic
1905C2D3×#53811yescharacteristic
1906C2#8642411yescharacteristic
1907C2#8666511yescharacteristic
1908C2D3×#55011yescharacteristic
1909C2#8691311yescharacteristic
1910C2#8707111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2714C2
hypercenter#2714D3
hypocenterC3#39383
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2714

Complements

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

NH ≅ G/Ntype
1. C2×#5704C2semidirect
2. C2×#5613C2semidirect
3. C3×#2714C2semidirect
4. #83084C2semidirect
5. #82669C2semidirect
6. #77684C2semidirect
7. #77493C2semidirect
8. #77114C2semidirect
9. #77113C2semidirect
10. #76946C2semidirect
11. #76907C2semidirect
12. #76761C2semidirect
13. #76732C2semidirect
14. #76716C2semidirect
15. #76688C2semidirect
16. #76673C2semidirect
17. #76673C2semidirect
18. #76476C2semidirect
19. #76442C2semidirect
20. D3×#390C2semidirect
21. #76396C2semidirect
22. #76395C2semidirect
23. #76352C2semidirect
24. #75712C2semidirect
25. #75477C2semidirect
26. #75160C2semidirect
27. #74941C2semidirect
28. #74894C2semidirect
29. #74708C2semidirect
30. #74511C2semidirect
31. #74397C2semidirect
34. C2×C3×#126C22semidirect
35. C2×C3×#121C22semidirect
40. C2×#940C22semidirect
41. C2×#939C22semidirect
42. C2×#939C22semidirect
44. C2×#938C22semidirect
49. C2×#936C22semidirect
50. C2×#935C22semidirect
51. C2×#930C22semidirect
52. C2×#929C22semidirect
54. C2×C4×#67C22semidirect
57. C2×#898C22semidirect
58. C2×#898C22semidirect
61. C2×#895C22semidirect
62. C2×#894C22semidirect
65. C2×#887C22semidirect
66. C2×#885C22semidirect
67. C2×#885C22semidirect
72. C2×#884C22semidirect
73. C2×#884C22semidirect
74. C2×#883C22semidirect
80. C2×#67⋊C4C22semidirect
85. C2×#879C22semidirect
86. C2×#875C22semidirect
89. C3×#397C22semidirect
90. C3×#394C22semidirect
91. C3×#394C22semidirect
94. C3×#392C22semidirect
96. C3×#390C22semidirect
97. C3×#390C22semidirect
98. C3×#388C22semidirect
99. C3×#387C22semidirect
100. C3×#386C22semidirect
101. C3×#385C22semidirect
104. #5223C22semidirect
105. #5223C22semidirect
106. #5223C22semidirect
107. #5222C22semidirect
108. #5222C22semidirect
110. #4994C22semidirect
111. #4992C22semidirect
112. #4991C22semidirect
113. #4990C22semidirect
115. #4989C22semidirect
117. #4988C22semidirect
118. #4976C22semidirect
119. #4975C22semidirect
120. Dic3×C4⋊C4C22semidirect
121. #4961C22semidirect
124. #4960C22semidirect
125. #4960C22semidirect
126. #4960C22semidirect
127. #4959C22semidirect
128. #4959C22semidirect
129. #4959C22semidirect
130. #4959C22semidirect
131. #4959C22semidirect
132. #4959C22semidirect
133. #4959C22semidirect
134. #4958C22semidirect
143. #4957C22semidirect
144. #4957C22semidirect
145. #4957C22semidirect
146. #4957C22semidirect
147. #4957C22semidirect
148. #4957C22semidirect
149. #4957C22semidirect
150. #4957C22semidirect
153. #4956C22semidirect
154. #4953C22semidirect
155. #4951C22semidirect
156. #4950C22semidirect
157. #4948C22semidirect
158. #4948C22semidirect
159. #4945C22semidirect
160. #4944C22semidirect
161. #4940C22semidirect
163. #4939C22semidirect
164. #4933C22semidirect
165. C4×Dic3⋊C4C22semidirect
166. #4676C22semidirect
167. #4674C22semidirect
168. #4672C22semidirect
169. #4672C22semidirect
170. #4672C22semidirect
173. #4671C22semidirect
174. #4670C22semidirect
175. #4669C22semidirect
177. #4668C22semidirect
183. #4665C22semidirect
184. #4649C22semidirect
185. #4649C22semidirect
186. #4649C22semidirect
187. #4647C22semidirect
188. #4647C22semidirect
189. #4646C22semidirect
198. #2714D3semidirect
384. #896D4semidirect
443. C2×#126C2×D3semidirect
466. C2×#121C2×D3semidirect
491. #397C2×D3semidirect
510. #394C2×D3semidirect
511. #394C2×D3semidirect
527. #392C2×D3semidirect
551. #390C2×D3semidirect
552. #390C2×D3semidirect
563. #388C2×D3semidirect
565. #387C2×D3semidirect
573. #386C2×D3semidirect
579. #385C2×D3semidirect
754. C2×Dic6C2×D4semidirect
759. C3×C4⋊C4C2×D4semidirect
838. Dic3⋊C4C2×D4semidirect
839. Dic3⋊C4C2×D4semidirect
1433. C4⋊C4D3×D4semidirect
1599. Dic3#538semidirect
1894. C3#39383semidirect

Maximal subgroups

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

subgroupindex
C2×#57042
C2×#56132
C3×#27142
#830842
#826692
#776842
#774932
#771142
#771132
#769462
#769072
#767612
#767322
#767162
#766882
#766732
#764762
#764422
D3×#3902
#763962
#763952
#763522
#757122
#754772
#751602
#749412
#748942
#747082
#745112
#743972
#393833