Finite Group Databasebeta

← #10975358

Subgroups — #10975358

Order 768.

3150 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5657C211yesmaximal, characteristic, complemented
2C2×D3×#121C211yesmaximal, characteristic, complemented
3C3×#2464C211yesmaximal, characteristic, complemented
4#82853C211yesmaximal, characteristic, complemented
5#82702C211yesmaximal, characteristic, complemented
6#82672C211yesmaximal, characteristic, complemented
7#82648C211yesmaximal, characteristic, complemented
8#82409C211yesmaximal, characteristic, complemented
9C4×#937C211yesmaximal, characteristic, complemented
10#77961C211yesmaximal, characteristic, complemented
11#77753C211yesmaximal, characteristic, complemented
12#77108C211yesmaximal, characteristic, complemented
13#76953C211yesmaximal, characteristic, complemented
14#76755C211yesmaximal, characteristic, complemented
15#76690C211yesmaximal, characteristic, complemented
16#76673C211yesmaximal, characteristic, complemented
17#76671C211yesmaximal, characteristic, complemented
18#76447C211yesmaximal, characteristic, complemented
19#76315C211yesmaximal, characteristic, complemented
20#75894C211yesmaximal, characteristic, complemented
21#75887C211yesmaximal, characteristic, complemented
22#75826C211yesmaximal, characteristic, complemented
23#75597C211yesmaximal, characteristic, complemented
24#74888C211yesmaximal, characteristic, complemented
25#74876C211yesmaximal, characteristic, complemented
26#74760C211yesmaximal, characteristic, complemented
27#74698C211yesmaximal, characteristic, complemented
28#74476C211yesmaximal, characteristic, complemented
29#74379C211yesmaximal, characteristic, complemented
30#73600C211yesmaximal, characteristic, complemented
31#73560C211yesmaximal, characteristic, complemented
32#35395—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C22×D3×D4C2211yescharacteristic
35C22×D3×D4C2211yescharacteristic
36C23×C4×D3C2211yescharacteristic
37C2×C3×#123C2211yescharacteristic, complemented
38C2×C3×#121C2211yescharacteristic
39C2×C3×#121C2211yescharacteristic, complemented
40C2×C3×C4×D4C2211yescharacteristic, complemented
41C2×#940C2211yescharacteristic, complemented
42C2×#940C2211yescharacteristic, complemented
43C2×#939C2211yescharacteristic
44C2×#939C2211yescharacteristic
45C2×#939C2211yescharacteristic, complemented
46C2×#939C2211yescharacteristic, complemented
47C2×#938C2211yescharacteristic
48C2×#938C2211yescharacteristic, complemented
49C2×#938C2211yescharacteristic, complemented
50C2×#937C2211yescharacteristic
51C2×#937C2211yescharacteristic
52C2×#937C2211yescharacteristic
53C2×#936C2211yescharacteristic, complemented
54C2×#930C2211yescharacteristic
55C2×#930C2211yescharacteristic, complemented
56C2×#930C2211yescharacteristic, complemented
57C2×C4×#67C2211yescharacteristic
58C2×C4×#67C2211yescharacteristic, complemented
59C22×(C2×D3)⋊C4C2211yescharacteristic
60#5657—28no—
61D3×#121—28no—
62C2×#898C2211yescharacteristic, complemented
63C2×#897C2211yescharacteristic
64C2×#895C2211yescharacteristic
65C2×#895C2211yescharacteristic, complemented
66C2×#894C2211yescharacteristic, complemented
67C2×#893C2211yescharacteristic
68C2×#893C2211yescharacteristic, complemented
69C2×D3×C4⋊C4C2211yescharacteristic
70C2×#885C2211yescharacteristic, complemented
71C2×#885C2211yescharacteristic, complemented
72C2×#884C2211yescharacteristic
73C2×#884C2211yescharacteristic
74C2×#884C2211yescharacteristic
75C2×#884C2211yescharacteristic, complemented
76C2×#884C2211yescharacteristic, complemented
77C2×#882C2211yescharacteristic
78C2×#882C2211yescharacteristic
79C2×#882C2211yescharacteristic
80C2×#67⋊C4C2211yescharacteristic, complemented
81C2×D3×C22⋊C4C2211yescharacteristic
82C2×D3×C22⋊C4C2211yescharacteristic
83C2×D3×C22⋊C4C2211yescharacteristic
84C2×#879C2211yescharacteristic, complemented
85C2×#875C2211yescharacteristic, complemented
86C3×#398C2211yescharacteristic, complemented
87C3×#394C2211yescharacteristic, complemented
88C3×#392C2211yescharacteristic, complemented
89C3×#392C2211yescharacteristic, complemented
90C3×#390C2211yescharacteristic, complemented
91C3×#388C2211yescharacteristic, complemented
92C3×#388C2211yescharacteristic, complemented
93C3×#386C2211yescharacteristic, complemented
94C3×#386C2211yescharacteristic, complemented
95C3×#385C2211yescharacteristic, complemented
96C3×C4×C22⋊C4C2211yescharacteristic, complemented
97#5223C2211yescharacteristic, complemented
98#5223C2211yescharacteristic, complemented
99#5223C2211yescharacteristic, complemented
100#5223C2211yescharacteristic, complemented
101#5222C2211yescharacteristic, complemented
102#5221C2211yescharacteristic, complemented
103#5220C2211yescharacteristic, complemented
104#5220C2211yescharacteristic, complemented
105#5213C2211yescharacteristic, complemented
106#5213C2211yescharacteristic, complemented
107#5213C2211yescharacteristic, complemented
108C4×#217C2211yescharacteristic, complemented
109C4×#217C2211yescharacteristic, complemented
110#4991C2211yescharacteristic, complemented
111#4990C2211yescharacteristic, complemented
112#4990C2211yescharacteristic, complemented
113#4989C2211yescharacteristic
114#4989C2211yescharacteristic
115#4989C2211yescharacteristic, complemented
116#4989C2211yescharacteristic, complemented
117#4988C2211yescharacteristic, complemented
118#4984C2211yescharacteristic, complemented
119#4984C2211yescharacteristic, complemented
120#4983C2211yescharacteristic, complemented
121#4979C2211yescharacteristic, complemented
122#4961C2211yescharacteristic, complemented
123#4961C2211yescharacteristic, complemented
124#4961C2211yescharacteristic, complemented
125#4961C2211yescharacteristic, complemented
126#4961C2211yescharacteristic, complemented
127#4961C2211yescharacteristic, complemented
128#4961C2211yescharacteristic, complemented
129#4960C2211yescharacteristic, complemented
130#4960C2211yescharacteristic, complemented
131#4960C2211yescharacteristic, complemented
132#4960C2211yescharacteristic, complemented
133#4959C2211yescharacteristic, complemented
134#4959C2211yescharacteristic, complemented
135#4959C2211yescharacteristic, complemented
136#4958C2211yescharacteristic, complemented
137#4957C2211yescharacteristic, complemented
138#4957C2211yescharacteristic, complemented
139#4957C2211yescharacteristic, complemented
140#4957C2211yescharacteristic, complemented
141#4956C2211yescharacteristic
142#4956C2211yescharacteristic
143#4956C2211yescharacteristic, complemented
144#4956C2211yescharacteristic, complemented
145#4956C2211yescharacteristic, complemented
146#4956C2211yescharacteristic, complemented
147#4955C2211yescharacteristic
148#4955C2211yescharacteristic
149#4955C2211yescharacteristic
150#4955C2211yescharacteristic
151#4951C2211yescharacteristic, complemented
152#4946C2211yescharacteristic, complemented
153#4945C2211yescharacteristic, complemented
154#4944C2211yescharacteristic, complemented
155#4944C2211yescharacteristic, complemented
156Dic3×C22⋊C4C2211yescharacteristic, complemented
157Dic3×C22⋊C4C2211yescharacteristic, complemented
158Dic3×C22⋊C4C2211yescharacteristic, complemented
159#4940C2211yescharacteristic, complemented
160#4939C2211yescharacteristic, complemented
161C4×(C2×D3)⋊C4C2211yescharacteristic
162C4×(C2×D3)⋊C4C2211yescharacteristic
163C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
164C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
165C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
166#4672C2211yescharacteristic, complemented
167#4671C2211yescharacteristic, complemented
168#4671C2211yescharacteristic, complemented
169#4670C2211yescharacteristic, complemented
170#4669C2211yescharacteristic, complemented
171#4669C2211yescharacteristic, complemented
172#4668C2211yescharacteristic
173#4668C2211yescharacteristic
174#4666C2211yescharacteristic
175#4666C2211yescharacteristic
176#4666C2211yescharacteristic, complemented
177#4666C2211yescharacteristic, complemented
178#4666C2211yescharacteristic, complemented
179#4665C2211yescharacteristic
180#4665C2211yescharacteristic
181#4665C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183#4665C2211yescharacteristic, complemented
184#4665C2211yescharacteristic, complemented
185#4660C2211yescharacteristic, complemented
186#4658C2211yescharacteristic, complemented
187#4656C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4647C2211yescharacteristic, complemented
190C2×#538—31no—
191C22×#121—31no—
192#2591—31no—
193#2583—31no—
194#2559—31no—
195#2559—31no—
196#2559—31no—
197#2559—31no—
198#2555—31no—
199#2555—31no—
200#2555—31no—
201#2555—31no—
202#2464—31no—
203#2464—31no—
204#2464—31no—
205#2464D311yescharacteristic, complemented
206#2435—31no—
207#2433—31no—
208#2428—31no—
209#2428—31no—
210#2428—31no—
211#2428—31no—
212#2410—31no—
213#2410—31no—
214#2410—31no—
215#2410—31no—
216#2321—31no—
217#2321—31no—
218C4×#120—31no—
219C4×#120—31no—
220#2273—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C23×C3×C4C2311yescharacteristic
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
246C22×#67C2311yescharacteristic
247C23×Dic3C2311yescharacteristic
248C23×Dic3C2311yescharacteristic
249C2×D3×D4—24no—
250C2×D3×D4—24no—
251C2×D3×D4—24no—
252C2×D3×D4—42no—
253C2×D3×D4—42no—
254C2×D3×D4—42no—
255C2×D3×D4—42no—
256C2×D3×D4—42no—
257C2×D3×D4—42no—
258C22×D12C2311yescharacteristic
259C22×D12C2311yescharacteristic
260C22×D12C2311yescharacteristic
261C22×D12C2311yescharacteristic
262C22×D12C2311yescharacteristic
263C22×D12C2311yescharacteristic
264C22×D12C2311yescharacteristic
265C22×C4×D3—24no—
266C22×C4×D3—42no—
267C22×C4×D3—42no—
268C22×C4×D3C2311yescharacteristic
269C22×C4×D3C2311yescharacteristic
270C22×C4×D3C2311yescharacteristic
271C22×C4×D3C2311yescharacteristic
272C22×C4×D3C2311yescharacteristic
273C22×C4×D3C2311yescharacteristic
274C22×C4×D3C2311yescharacteristic
275C22×C4×D3C2311yescharacteristic
276C22×C4×D3C2311yescharacteristic
277C22×Dic6C2311yescharacteristic
278C3×#123—24no—
279C3×#121—24no—
280C3×#121—42no—
281C3×C4×D4—42no—
282C2×C3×C4⋊C4C2311yescharacteristic
283C2×C3×C4⋊C4C2311yescharacteristic
284C2×C3×C4⋊C4C2311yescharacteristic
285C2×C3×C4⋊C4C2311yescharacteristic
286C2×C3×C4⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×C3×C22⋊C4C2311yescharacteristic
295C2×C3×C22⋊C4C2311yescharacteristic
296C2×C3×C22⋊C4C2311yescharacteristic
297C2×C3×C22⋊C4C2311yescharacteristic
298C2×C3×C22⋊C4C2311yescharacteristic
299C2×C3×C22⋊C4C2311yescharacteristic
300C2×C3×C42C2311yescharacteristic
301C2×C3×C42C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313C2×#217C2311yescharacteristic
314C2×#217C2311yescharacteristic
315#940—42no—
316#940—42no—
317#939—24no—
318#939—24no—
319#939—42no—
320#939—42no—
321#938—24no—
322#938—24no—
323#938—42no—
324#937—24no—
325#937—24no—
326#937—24no—
327#936—42no—
328#930—24no—
329#930—24no—
330#930—42no—
331C4×#67—24no—
332C4×#67—42no—
333C2×(C2×D3)⋊C4—24no—
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×(C2×D3)⋊C4C2311yescharacteristic
351C2×(C2×D3)⋊C4C2311yescharacteristic
352C2×(C2×D3)⋊C4C2311yescharacteristic
353C2×(C2×D3)⋊C4C2311yescharacteristic
354C2×(C2×D3)⋊C4C2311yescharacteristic
355C2×(C2×D3)⋊C4C2311yescharacteristic
356C2×(C2×D3)⋊C4C2311yescharacteristic
357C2×(C2×D3)⋊C4C2311yescharacteristic
358C2×(C2×D3)⋊C4C2311yescharacteristic
359C2×(C2×D3)⋊C4C2311yescharacteristic
360C2×(C2×D3)⋊C4C2311yescharacteristic
361C2×(C2×D3)⋊C4C2311yescharacteristic
362C2×(C2×D3)⋊C4C2311yescharacteristic
363C2×(C2×D3)⋊C4C2311yescharacteristic
364C2×(C2×D3)⋊C4C2311yescharacteristic
365C2×(C2×D3)⋊C4C2311yescharacteristic
366C2×C4⋊Dic3C2311yescharacteristic
367C2×C4⋊Dic3C2311yescharacteristic
368C2×C4⋊Dic3C2311yescharacteristic
369C2×C4⋊Dic3C2311yescharacteristic
370C2×C4⋊Dic3C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×Dic3⋊C4C2311yescharacteristic
374C2×Dic3⋊C4C2311yescharacteristic
375C2×Dic3⋊C4C2311yescharacteristic
376C2×Dic3⋊C4C2311yescharacteristic
377C2×Dic3⋊C4C2311yescharacteristic
378C2×Dic3⋊C4C2311yescharacteristic
379C2×C4×Dic3C2311yescharacteristic
380C2×C4×Dic3C2311yescharacteristic
381C2×C4×Dic3C2311yescharacteristic
382C2×C4×Dic3C2311yescharacteristic
383C2×C4×Dic3C2311yescharacteristic
384C2×C4×Dic3C2311yescharacteristic
385C2×C4×Dic3C2311yescharacteristic
386C2×C4×Dic3C2311yescharacteristic
387#898—24no—
388#897—24no—
389#895—24no—
390#895—42no—
391#894—24no—
392#893—24no—
393#893—42no—
394D3×C4⋊C4—24no—
395#885—24no—
396#885—24no—
397#884—24no—
398#884—24no—
399#884—24no—
400#884—42no—
401#884—42no—
402#882—24no—
403#882—24no—
404#882—24no—
405#67⋊C4—42no—
406D3×C22⋊C4—24no—
407D3×C22⋊C4—24no—
408D3×C22⋊C4D418yescomplemented
409#879—24no—
410#875—42no—
411C3×#95C2311yescharacteristic
412C3×#95C2311yescharacteristic
413C3×#95C2311yescharacteristic
414C3×#95C2311yescharacteristic
415C3×#95C2311yescharacteristic
416C3×#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C3⋊#95C2311yescharacteristic
427C3⋊#95C2311yescharacteristic
428C3⋊#95C2311yescharacteristic
429C3⋊#95C2311yescharacteristic
430C3⋊#95C2311yescharacteristic
431C3⋊#95C2311yescharacteristic
432C3⋊#95C2311yescharacteristic
433C3⋊#95C2311yescharacteristic
434C3⋊#95C2311yescharacteristic
435C23×D4—31no—
436C23×D4—31no—
437C23×D4—31no—
438C24×C4—31no—
439#538—68no—
440C2×#127—31no—
441C2×#127—31no—
442C2×#126—31no—
443C2×#126—31no—
444C2×#124—31no—
445C2×#124—31no—
446C2×#124—31no—
447C2×#124—31no—
448C2×#123—31no—
449C2×#123C2×D311yescharacteristic, complemented
450C2×C22⋊Q8—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121—31no—
455C2×#121—31no—
456C2×#121—31no—
457C2×#121—31no—
458C2×#121—31no—
459C2×#121—31no—
460C2×#121—31no—
461C2×#121—31no—
462C2×#121—31no—
463C2×#121—31no—
464C2×#121—31no—
465C2×#121—31no—
466C2×#121—31no—
467C2×#121—31no—
468C2×#121—68no—
469C2×#121C2×D311yescharacteristic
470C2×#121C2×D311yescharacteristic, complemented
471C2×#120—31no—
472C2×#120—31no—
473C2×#120—31no—
474C2×#120—31no—
475C2×#120—31no—
476C2×#120—31no—
477C2×C4×D4—31no—
478C2×C4×D4—31no—
479C2×C4×D4—31no—
480C2×C4×D4—31no—
481C2×C4×D4—31no—
482C2×C4×D4C2×D311yescharacteristic, complemented
483C22×C4⋊C4—31no—
484C22×C22⋊C4—31no—
485C22×C22⋊C4—31no—
486C22×C22⋊C4—31no—
487C22×C22⋊C4—31no—
488#400—31no—
489#400—31no—
490#398—31no—
491#398C2×D311yescharacteristic, complemented
492#395—31no—
493#395—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#394—31no—
505#394—31no—
506#394—31no—
507#394C2×D311yescharacteristic, complemented
508#392—31no—
509#392—31no—
510#392—31no—
511#392—31no—
512#392—31no—
513#392—31no—
514#392—31no—
515#392—31no—
516#392—31no—
517#392—31no—
518#392C2×D311yescharacteristic, complemented
519#392C2×D311yescharacteristic, complemented
520#390—31no—
521#390—31no—
522#390—31no—
523#390—31no—
524#390—31no—
525#390—31no—
526#390—31no—
527#390C2×D311yescharacteristic, complemented
528#389—31no—
529#389—31no—
530#389—31no—
531#389—31no—
532#388—31no—
533#388—31no—
534#388—31no—
535#388—31no—
536#388—31no—
537#388—31no—
538#388—31no—
539#388—31no—
540#388—31no—
541#388—31no—
542#388C2×D311yescharacteristic, complemented
543#388C2×D311yescharacteristic, complemented
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386—31no—
557#386—31no—
558#386—31no—
559#386—31no—
560#386—31no—
561#386—31no—
562#386C2×D311yescharacteristic, complemented
563#386C2×D311yescharacteristic, complemented
564#385—31no—
565#385—31no—
566#385—31no—
567#385—31no—
568#385—31no—
569#385—31no—
570#385—31no—
571#385C2×D311yescharacteristic, complemented
572#379—31no—
573#379—31no—
574#379—31no—
575#379—31no—
576C4×C22⋊C4—31no—
577C4×C22⋊C4—31no—
578C4×C22⋊C4—31no—
579C4×C22⋊C4—31no—
580C4×C22⋊C4—31no—
581C4×C22⋊C4—31no—
582C4×C22⋊C4—31no—
583C4×C22⋊C4—31no—
584C4×C22⋊C4—31no—
585C4×C22⋊C4—31no—
586C4×C22⋊C4—31no—
587C4×C22⋊C4—31no—
588C4×C22⋊C4—31no—
589C4×C22⋊C4—31no—
590C4×C22⋊C4—31no—
591C4×C22⋊C4C2×D311yescharacteristic, complemented
592C24×C3C2411yescharacteristic
593C24×C3C2411yescharacteristic
594C24×C3C2411yescharacteristic
595C24×C3C2411yescharacteristic
596C23×D3—22no—
597C23×D3—22no—
598C23×D3—22no—
599C23×D3—22no—
600C23×D3—22no—
601C23×D3—22no—
602C23×D3—22no—
603C23×D3—22no—
604C23×D3—22no—
605C23×D3—22no—
606C23×D3—41no—
607C23×D3—41no—
608C23×D3—41no—
609C23×D3—41no—
610C23×D3—41no—
611C23×D3—41no—
612C23×D3—41no—
613C23×D3—41no—
614C23×D3—41no—
615C23×D3—41no—
616C23×D3C2×D414yes—
617C23×D3C2411yescharacteristic
618C23×D3C2411yescharacteristic
619C23×D3C2411yescharacteristic
620C23×D3C2411yescharacteristic
621C23×D3C2411yescharacteristic
622C2×C3×D4—22no—
623C2×C3×D4—22no—
624C2×C3×D4—22no—
625C2×C3×D4—22no—
626C2×C3×D4—22no—
627C2×C3×D4—22no—
628C2×C3×D4—22no—
629C2×C3×D4—22no—
630C2×C3×D4—22no—
631C2×C3×D4—22no—
632C2×C3×D4—41no—
633C2×C3×D4—41no—
634C2×C3×D4—41no—
635C2×C3×D4—41no—
636C2×C3×D4—41no—
637C2×C3×D4—41no—
638C2×C3×D4—41no—
639C2×C3×D4—41no—
640C22×C3×C4—22no—
641C22×C3×C4—22no—
642C22×C3×C4—22no—
643C22×C3×C4—22no—
644C22×C3×C4—41no—
645C22×C3×C4—41no—
646C22×C3×C4—41no—
647C22×C3×C4—41no—
648C22×C3×C4—41no—
649C22×C3×C4C2411yescharacteristic
650C22×C3×C4C2411yescharacteristic
651C22×C3×C4C2411yescharacteristic
652C22×C3×C4C2411yescharacteristic
653C22×C3×C4C2411yescharacteristic
654C22×C3×C4C2411yescharacteristic
655C22×C3×C4C2411yescharacteristic
656C22×C3×C4C2411yescharacteristic
657C22×C3×C4C2411yescharacteristic
658C22×C3×C4C2411yescharacteristic
659C22×C3×C4C2411yescharacteristic
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—22no—
669C2×#67—22no—
670C2×#67—22no—
671C2×#67—22no—
672C2×#67—22no—
673C2×#67—22no—
674C2×#67—22no—
675C2×#67—22no—
676C2×#67—22no—
677C2×#67—22no—
678C2×#67—22no—
679C2×#67—22no—
680C2×#67—22no—
681C2×#67—22no—
682C2×#67—22no—
683C2×#67—22no—
684C2×#67—41no—
685C2×#67—41no—
686C2×#67—41no—
687C2×#67—41no—
688C2×#67—41no—
689C2×#67—41no—
690C2×#67—41no—
691C2×#67—41no—
692C2×#67—41no—
693C2×#67—41no—
694C2×#67—41no—
695C2×#67—41no—
696C2×#67—41no—
697C2×#67—41no—
698C2×#67—41no—
699C2×#67—41no—
700C2×#67—41no—
701C2×#67—41no—
702C22×Dic3—22no—
703C22×Dic3—22no—
704C22×Dic3—22no—
705C22×Dic3—41no—
706C22×Dic3—41no—
707C22×Dic3—41no—
708C22×Dic3C2411yescharacteristic
709C22×Dic3C2411yescharacteristic
710C22×Dic3C2411yescharacteristic
711C22×Dic3C2411yescharacteristic
712C22×Dic3C2411yescharacteristic
713C22×Dic3C2411yescharacteristic
714C22×Dic3C2411yescharacteristic
715C22×Dic3C2411yescharacteristic
716C22×Dic3C2411yescharacteristic
717C22×Dic3C2411yescharacteristic
718C22×Dic3C2411yescharacteristic
719D3×D4—416no—
720D3×D4—416no—
721D3×D4—416no—
722C2×D12—22no—
723C2×D12—22no—
724C2×D12—22no—
725C2×D12—22no—
726C2×D12—22no—
727C2×D12—22no—
728C2×D12—22no—
729C2×D12—22no—
730C2×D12—22no—
731C2×D12—22no—
732C2×D12—22no—
733C2×D12—22no—
734C2×D12—22no—
735C2×D12—41no—
736C2×D12—41no—
737C2×D12—41no—
738C2×D12—41no—
739C2×D12—41no—
740C2×D12—41no—
741C2×D12—41no—
742C2×D12—41no—
743C2×C4×D3—22no—
744C2×C4×D3—22no—
745C2×C4×D3—22no—
746C2×C4×D3—22no—
747C2×C4×D3—22no—
748C2×C4×D3—22no—
749C2×C4×D3—22no—
750C2×C4×D3—22no—
751C2×C4×D3—22no—
752C2×C4×D3—22no—
753C2×C4×D3—22no—
754C2×C4×D3—416no—
755C2×C4×D3—41no—
756C2×C4×D3—41no—
757C2×C4×D3—41no—
758C2×C4×D3—41no—
759C2×C4×D3—41no—
760C2×C4×D3—41no—
761C2×C4×D3—41no—
762C2×C4×D3—41no—
763C2×C4×D3—41no—
764C2×C4×D3—41no—
765C2×C4×D3—41no—
766C2×C4×D3—41no—
767C2×C4×D3—41no—
768C2×C4×D3—41no—
769C2×C4×D3C2×D414yes—
770C2×C4×D3C2×D414yes—
771C2×Dic6—22no—
772C2×Dic6—41no—
773C2×Dic6—41no—
774C3×C4⋊C4—22no—
775C3×C4⋊C4—22no—
776C3×C4⋊C4—22no—
777C3×C4⋊C4—22no—
778C3×C4⋊C4—22no—
779C3×C22⋊C4—22no—
780C3×C22⋊C4—22no—
781C3×C22⋊C4—22no—
782C3×C22⋊C4—22no—
783C3×C22⋊C4—22no—
784C3×C22⋊C4—22no—
785C3×C22⋊C4—22no—
786C3×C22⋊C4—41no—
787C3×C22⋊C4—41no—
788C3×C22⋊C4—41no—
789C3×C22⋊C4—41no—
790C3×C22⋊C4—41no—
791C3×C22⋊C4C2×D414yes—
792C3×C42—41no—
793C3×C42—41no—
794#217—22no—
795#217—22no—
796#217—22no—
797#217—22no—
798#217—22no—
799#217—22no—
800#217—22no—
801#217—22no—
802#217—22no—
803#217—41no—
804#217—41no—
805#217—41no—
806#217C2×D414yes—
807(C2×D3)⋊C4—22no—
808(C2×D3)⋊C4—22no—
809(C2×D3)⋊C4—22no—
810(C2×D3)⋊C4—22no—
811(C2×D3)⋊C4—22no—
812(C2×D3)⋊C4—22no—
813(C2×D3)⋊C4—22no—
814(C2×D3)⋊C4—22no—
815(C2×D3)⋊C4—22no—
816(C2×D3)⋊C4—22no—
817(C2×D3)⋊C4—22no—
818(C2×D3)⋊C4—22no—
819(C2×D3)⋊C4—22no—
820(C2×D3)⋊C4—22no—
821(C2×D3)⋊C4—22no—
822(C2×D3)⋊C4—22no—
823(C2×D3)⋊C4—22no—
824(C2×D3)⋊C4—22no—
825(C2×D3)⋊C4—22no—
826(C2×D3)⋊C4—22no—
827(C2×D3)⋊C4—41no—
828(C2×D3)⋊C4—41no—
829(C2×D3)⋊C4—41no—
830(C2×D3)⋊C4—41no—
831(C2×D3)⋊C4—41no—
832(C2×D3)⋊C4—41no—
833(C2×D3)⋊C4—41no—
834(C2×D3)⋊C4—41no—
835(C2×D3)⋊C4C2×D414yes—
836(C2×D3)⋊C4C2×D414yes—
837(C2×D3)⋊C4#4114yes—
838(C2×D3)⋊C4#4114yes—
839C4⋊Dic3—22no—
840C4⋊Dic3—22no—
841C4⋊Dic3—22no—
842C4⋊Dic3—41no—
843C4⋊Dic3—41no—
844Dic3⋊C4—22no—
845Dic3⋊C4—22no—
846Dic3⋊C4—22no—
847Dic3⋊C4—22no—
848Dic3⋊C4—22no—
849Dic3⋊C4—22no—
850Dic3⋊C4—41no—
851Dic3⋊C4—41no—
852C4×Dic3—22no—
853C4×Dic3—22no—
854C4×Dic3—41no—
855C4×Dic3—41no—
856C4×Dic3—41no—
857C4×Dic3—41no—
858C4×Dic3—41no—
859C4×Dic3—41no—
860C25—31no—
861C25—31no—
862C25—31no—
863C22×Q8—31no—
864C22×D4—31no—
865C22×D4—31no—
866C22×D4—31no—
867C22×D4—31no—
868C22×D4—31no—
869C22×D4—31no—
870C22×D4—31no—
871C22×D4—31no—
872C22×D4—31no—
873C22×D4—31no—
874C22×D4—31no—
875C22×D4—31no—
876C22×D4—31no—
877C22×D4—31no—
878C22×D4—31no—
879C22×D4—31no—
880C22×D4—31no—
881C22×D4—31no—
882C22×D4—31no—
883C22×D4—31no—
884C22×D4—31no—
885C22×D4—64no—
886C22×D4—64no—
887C22×D4—64no—
888C22×D4—122no—
889C22×D4—122no—
890C22×D4—122no—
891C22×D4—122no—
892C22×D4—122no—
893C22×D4—122no—
894C22×D4C22×D311yescharacteristic
895C22×D4C22×D311yescharacteristic
896C22×D4C22×D311yescharacteristic
897C22×D4C22×D311yescharacteristic
898C22×D4C22×D311yescharacteristic
899C22×D4C22×D311yescharacteristic
900C23×C4—31no—
901C23×C4—31no—
902C23×C4—31no—
903C23×C4—31no—
904C23×C4—31no—
905C23×C4—31no—
906C23×C4—31no—
907C23×C4—31no—
908C23×C4—31no—
909C23×C4—31no—
910C23×C4—31no—
911C23×C4—64no—
912C23×C4—122no—
913C23×C4—122no—
914C23×C4C22×D311yescharacteristic
915C23×C4C22×D311yescharacteristic
916C23×C4C22×D311yescharacteristic
917#127—122no—
918#127—122no—
919#126—64no—
920#126—64no—
921#124—64no—
922#124—64no—
923#124—122no—
924#124—122no—
925#123—24no—
926#123—64no—
927C22⋊Q8—64no—
928#121—24no—
929#121—42no—
930#121—64no—
931#121—64no—
932#121—64no—
933#121—64no—
934#121—64no—
935#121—64no—
936#121—64no—
937#121—64no—
938#121—64no—
939#121—64no—
940#121—122no—
941#121—122no—
942#121—122no—
943#121—122no—
944#121—122no—
945#121—122no—
946#121—122no—
947#120—64no—
948#120—64no—
949#120—64no—
950#120—64no—
951#120—64no—
952#120—64no—
953C4×D4—42no—
954C4×D4—64no—
955C4×D4—64no—
956C4×D4—122no—
957C4×D4—122no—
958C4×D4—122no—
959C2×C4⋊C4—31no—
960C2×C4⋊C4—31no—
961C2×C4⋊C4—31no—
962C2×C4⋊C4—31no—
963C2×C4⋊C4—31no—
964C2×C4⋊C4—31no—
965C2×C4⋊C4—31no—
966C2×C4⋊C4—31no—
967C2×C4⋊C4—31no—
968C2×C4⋊C4—31no—
969C2×C4⋊C4—31no—
970C2×C4⋊C4—31no—
971C2×C4⋊C4—31no—
972C2×C4⋊C4—64no—
973C2×C4⋊C4C22×D311yescharacteristic
974C2×C4⋊C4C22×D311yescharacteristic
975C2×C4⋊C4C22×D311yescharacteristic
976C2×C4⋊C4C22×D311yescharacteristic
977C2×C4⋊C4C22×D311yescharacteristic
978C2×C22⋊C4—31no—
979C2×C22⋊C4—31no—
980C2×C22⋊C4—31no—
981C2×C22⋊C4—31no—
982C2×C22⋊C4—31no—
983C2×C22⋊C4—38no—
984C2×C22⋊C4—31no—
985C2×C22⋊C4—31no—
986C2×C22⋊C4—31no—
987C2×C22⋊C4—31no—
988C2×C22⋊C4—31no—
989C2×C22⋊C4—31no—
990C2×C22⋊C4—31no—
991C2×C22⋊C4—31no—
992C2×C22⋊C4—31no—
993C2×C22⋊C4—31no—
994C2×C22⋊C4—31no—
995C2×C22⋊C4—31no—
996C2×C22⋊C4—31no—
997C2×C22⋊C4—31no—
998C2×C22⋊C4—31no—
999C2×C22⋊C4—31no—
1000C2×C22⋊C4—31no—
1001C2×C22⋊C4—31no—
1002C2×C22⋊C4—31no—
1003C2×C22⋊C4—31no—
1004C2×C22⋊C4—31no—
1005C2×C22⋊C4—31no—
1006C2×C22⋊C4—31no—
1007C2×C22⋊C4—31no—
1008C2×C22⋊C4—31no—
1009C2×C22⋊C4—31no—
1010C2×C22⋊C4—31no—
1011C2×C22⋊C4—31no—
1012C2×C22⋊C4—31no—
1013C2×C22⋊C4—31no—
1014C2×C22⋊C4—31no—
1015C2×C22⋊C4—31no—
1016C2×C22⋊C4—31no—
1017C2×C22⋊C4—31no—
1018C2×C22⋊C4—31no—
1019C2×C22⋊C4—31no—
1020C2×C22⋊C4—31no—
1021C2×C22⋊C4—31no—
1022C2×C22⋊C4—31no—
1023C2×C22⋊C4—31no—
1024C2×C22⋊C4—64no—
1025C2×C22⋊C4—64no—
1026C2×C22⋊C4—64no—
1027C2×C22⋊C4C22×D311yescharacteristic
1028C2×C22⋊C4C22×D311yescharacteristic
1029C2×C22⋊C4C22×D311yescharacteristic
1030C2×C22⋊C4C22×D311yescharacteristic
1031C2×C22⋊C4C22×D311yescharacteristic
1032C2×C22⋊C4C22×D311yescharacteristic
1033C2×C22⋊C4C22×D311yescharacteristic
1034C2×C22⋊C4C22×D311yescharacteristic
1035C2×C22⋊C4C22×D311yescharacteristic
1036C2×C22⋊C4C22×D311yescharacteristic
1037C2×C22⋊C4C22×D311yescharacteristic
1038C2×C22⋊C4C22×D311yescharacteristic
1039C2×C22⋊C4C22×D311yescharacteristic
1040C2×C42—31no—
1041C2×C42—31no—
1042C2×C42—31no—
1043C2×C42—31no—
1044C2×C42—31no—
1045C2×C42—31no—
1046C2×C42—31no—
1047C2×C42—31no—
1048C2×C42C22×D311yescharacteristic
1049C2×C42C22×D311yescharacteristic
1050#95—31no—
1051#95—31no—
1052#95—31no—
1053#95—31no—
1054#95—31no—
1055#95—31no—
1056#95—31no—
1057#95—31no—
1058#95—31no—
1059#95—31no—
1060#95—31no—
1061#95—31no—
1062#95—31no—
1063#95—31no—
1064#95—31no—
1065#95—31no—
1066#95—31no—
1067#95—31no—
1068#95C22×D311yescharacteristic
1069#95C22×D311yescharacteristic
1070#95C22×D311yescharacteristic
1071#95C22×D311yescharacteristic
1072#95C22×D311yescharacteristic
1073#95C22×D311yescharacteristic
1074C23×C3—21no—
1075C23×C3—21no—
1076C23×C3—21no—
1077C23×C3—21no—
1078C23×C3—21no—
1079C23×C3—21no—
1080C23×C3—21no—
1081C23×C3—21no—
1082C23×C3—21no—
1083C23×C3—21no—
1084C23×C3—21no—
1085C23×C3—21no—
1086C23×C3—21no—
1087C23×C3—21no—
1088C23×C3—21no—
1089C23×C3—21no—
1090C23×C3—21no—
1091C23×C3—21no—
1092C23×C3—21no—
1093C23×C3—21no—
1094C23×C3—21no—
1095C23×C3—21no—
1096C23×C3—21no—
1097C23×C3—21no—
1098C23×C3—21no—
1099C23×C3—21no—
1100C23×C3C22×D412yes—
1101C23×C3H(5,𝔽2)12yes—
1102C23×C3C2511yescharacteristic
1103C22×D3—21no—
1104C22×D3—21no—
1105C22×D3—21no—
1106C22×D3—21no—
1107C22×D3—28no—
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—28no—
1121C22×D3—21no—
1122C22×D3—21no—
1123C22×D3—21no—
1124C22×D3—21no—
1125C22×D3—21no—
1126C22×D3—21no—
1127C22×D3—21no—
1128C22×D3—21no—
1129C22×D3—21no—
1130C22×D3—21no—
1131C22×D3—21no—
1132C22×D3—21no—
1133C22×D3—21no—
1134C22×D3—21no—
1135C22×D3—44no—
1136C22×D3—44no—
1137C22×D3—44no—
1138C22×D3—44no—
1139C22×D3—44no—
1140C22×D3—44no—
1141C22×D3—44no—
1142C22×D3—44no—
1143C22×D3—44no—
1144C22×D3—44no—
1145C22×D3—44no—
1146C22×D3—82no—
1147C22×D3—82no—
1148C22×D3—82no—
1149C22×D3—82no—
1150C22×D3—82no—
1151C22×D3—82no—
1152C22×D3—82no—
1153C22×D3—82no—
1154C22×D3C22×D412yes—
1155C22×D3C22×D412yes—
1156C22×D3C2×#4112yes—
1157C22×D3C2×#4112yes—
1158C22×D3H(5,𝔽2)12yes—
1159C3×D4—44no—
1160C3×D4—44no—
1161C3×D4—44no—
1162C3×D4—44no—
1163C3×D4—82no—
1164C3×D4—82no—
1165C2×C3×C4—21no—
1166C2×C3×C4—21no—
1167C2×C3×C4—21no—
1168C2×C3×C4—21no—
1169C2×C3×C4—21no—
1170C2×C3×C4—21no—
1171C2×C3×C4—21no—
1172C2×C3×C4—21no—
1173C2×C3×C4—21no—
1174C2×C3×C4—21no—
1175C2×C3×C4—21no—
1176C2×C3×C4—21no—
1177C2×C3×C4—21no—
1178C2×C3×C4—21no—
1179C2×C3×C4—21no—
1180C2×C3×C4—21no—
1181C2×C3×C4—21no—
1182C2×C3×C4—21no—
1183C2×C3×C4—21no—
1184C2×C3×C4—21no—
1185C2×C3×C4—21no—
1186C2×C3×C4—21no—
1187C2×C3×C4—21no—
1188C2×C3×C4—21no—
1189C2×C3×C4—21no—
1190C2×C3×C4—21no—
1191C2×C3×C4—21no—
1192C2×C3×C4—21no—
1193C2×C3×C4—44no—
1194C2×C3×C4—82no—
1195C2×C3×C4—82no—
1196C2×C3×C4C22×D412yes—
1197C2×C3×C4C22×D412yes—
1198C2×C3×C4C2×#4112yes—
1199C2×C3×C4C2×#4112yes—
1200C2×C3×C4H(5,𝔽2)12yes—
1201#67—44no—
1202#67—44no—
1203#67—44no—
1204#67—44no—
1205#67—44no—
1206#67—44no—
1207#67—44no—
1208#67—44no—
1209#67—44no—
1210#67—82no—
1211#67—82no—
1212#67—82no—
1213#67—82no—
1214#67—82no—
1215C2×Dic3—21no—
1216C2×Dic3—21no—
1217C2×Dic3—21no—
1218C2×Dic3—21no—
1219C2×Dic3—21no—
1220C2×Dic3—21no—
1221C2×Dic3—21no—
1222C2×Dic3—21no—
1223C2×Dic3—21no—
1224C2×Dic3—21no—
1225C2×Dic3—21no—
1226C2×Dic3—21no—
1227C2×Dic3—21no—
1228C2×Dic3—21no—
1229C2×Dic3—21no—
1230C2×Dic3—21no—
1231C2×Dic3—21no—
1232C2×Dic3—21no—
1233C2×Dic3—21no—
1234C2×Dic3—21no—
1235C2×Dic3—21no—
1236C2×Dic3—21no—
1237C2×Dic3—21no—
1238C2×Dic3—21no—
1239C2×Dic3—21no—
1240C2×Dic3—21no—
1241C2×Dic3—21no—
1242C2×Dic3—21no—
1243C2×Dic3—44no—
1244C2×Dic3—82no—
1245C2×Dic3C22×D412yes—
1246C2×Dic3C22×D412yes—
1247C2×Dic3C2×#4112yes—
1248C2×Dic3C2×#4112yes—
1249C2×Dic3H(5,𝔽2)12yes—
1250D12—44no—
1251D12—44no—
1252D12—44no—
1253D12—44no—
1254D12—44no—
1255D12—82no—
1256D12—82no—
1257C4×D3—28no—
1258C4×D3—44no—
1259C4×D3—44no—
1260C4×D3—44no—
1261C4×D3—44no—
1262C4×D3—44no—
1263C4×D3—82no—
1264C4×D3—82no—
1265C4×D3—82no—
1266Dic6—82no—
1267C24—31no—
1268C24—31no—
1269C24—31no—
1270C24—34no—
1271C24—31no—
1272C24—31no—
1273C24—62no—
1274C24—62no—
1275C24—62no—
1276C24—62no—
1277C24—62no—
1278C24—62no—
1279C24—62no—
1280C24—62no—
1281C24—62no—
1282C24—62no—
1283C24—121no—
1284C24—121no—
1285C24—121no—
1286C24—121no—
1287C24—121no—
1288C24—121no—
1289C24—121no—
1290C24—121no—
1291C24—121no—
1292C24—121no—
1293C24C23×D311yescharacteristic
1294C24C23×D311yescharacteristic
1295C24C23×D311yescharacteristic
1296C24C23×D311yescharacteristic
1297C2×Q8—62no—
1298C2×Q8—121no—
1299C2×Q8—121no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—22no—
1309C2×D4—22no—
1310C2×D4—41no—
1311C2×D4—41no—
1312C2×D4—41no—
1313C2×D4—41no—
1314C2×D4—41no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—62no—
1319C2×D4—62no—
1320C2×D4—62no—
1321C2×D4—62no—
1322C2×D4—62no—
1323C2×D4—62no—
1324C2×D4—62no—
1325C2×D4—62no—
1326C2×D4—62no—
1327C2×D4—62no—
1328C2×D4—62no—
1329C2×D4—62no—
1330C2×D4—62no—
1331C2×D4—62no—
1332C2×D4—62no—
1333C2×D4—62no—
1334C2×D4—62no—
1335C2×D4—62no—
1336C2×D4—62no—
1337C2×D4—62no—
1338C2×D4—62no—
1339C2×D4—62no—
1340C2×D4—62no—
1341C2×D4—62no—
1342C2×D4—62no—
1343C2×D4—62no—
1344C2×D4—62no—
1345C2×D4—62no—
1346C2×D4—62no—
1347C2×D4—62no—
1348C2×D4—62no—
1349C2×D4—62no—
1350C2×D4—62no—
1351C2×D4—62no—
1352C2×D4—62no—
1353C2×D4—62no—
1354C2×D4—62no—
1355C2×D4—121no—
1356C2×D4—121no—
1357C2×D4—121no—
1358C2×D4—121no—
1359C2×D4—121no—
1360C2×D4—121no—
1361C2×D4—121no—
1362C2×D4—121no—
1363C2×D4—1216no—
1364C2×D4—121no—
1365C2×D4—121no—
1366C2×D4—121no—
1367C2×D4—121no—
1368C2×D4—121no—
1369C2×D4—121no—
1370C2×D4—121no—
1371C2×D4—121no—
1372C2×D4—121no—
1373C2×D4—121no—
1374C2×D4—121no—
1375C2×D4—121no—
1376C2×D4—121no—
1377C2×D4—121no—
1378C2×D4—121no—
1379C2×D4—121no—
1380C2×D4—121no—
1381C2×D4—121no—
1382C2×D4—1216no—
1383C2×D4—1216no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—31no—
1389C22×C4—31no—
1390C22×C4—31no—
1391C22×C4—31no—
1392C22×C4—31no—
1393C22×C4—34no—
1394C22×C4—34no—
1395C22×C4—31no—
1396C22×C4—31no—
1397C22×C4—31no—
1398C22×C4—31no—
1399C22×C4—31no—
1400C22×C4—31no—
1401C22×C4—41no—
1402C22×C4—41no—
1403C22×C4—41no—
1404C22×C4—41no—
1405C22×C4—41no—
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—121no—
1421C22×C4—121no—
1422C22×C4—121no—
1423C22×C4—121no—
1424C22×C4—121no—
1425C22×C4—121no—
1426C22×C4—121no—
1427C22×C4—121no—
1428C22×C4—121no—
1429C22×C4—121no—
1430C22×C4—121no—
1431C22×C4—121no—
1432C22×C4—121no—
1433C22×C4—121no—
1434C22×C4—1216no—
1435C22×C4—121no—
1436C22×C4—121no—
1437C22×C4—121no—
1438C22×C4C23×D311yescharacteristic
1439C22×C4C23×D311yescharacteristic
1440C22×C4C23×D311yescharacteristic
1441C22×C4C23×D311yescharacteristic
1442C22×C4C23×D311yescharacteristic
1443C22×C4C23×D311yescharacteristic
1444C22×C4C23×D311yescharacteristic
1445C22×C4C23×D311yescharacteristic
1446C22×C4C23×D311yescharacteristic
1447C22×C4C23×D311yescharacteristic
1448C22×C4C23×D311yescharacteristic
1449C4⋊C4—22no—
1450C4⋊C4—22no—
1451C4⋊C4—22no—
1452C4⋊C4—22no—
1453C4⋊C4—22no—
1454C4⋊C4—62no—
1455C4⋊C4—62no—
1456C4⋊C4—62no—
1457C4⋊C4—62no—
1458C4⋊C4—62no—
1459C4⋊C4—62no—
1460C4⋊C4—62no—
1461C4⋊C4—62no—
1462C4⋊C4—62no—
1463C4⋊C4—121no—
1464C4⋊C4—121no—
1465C4⋊C4—121no—
1466C4⋊C4—121no—
1467C22⋊C4—22no—
1468C22⋊C4—22no—
1469C22⋊C4—22no—
1470C22⋊C4—22no—
1471C22⋊C4—22no—
1472C22⋊C4—22no—
1473C22⋊C4—22no—
1474C22⋊C4—34no—
1475C22⋊C4—34no—
1476C22⋊C4—34no—
1477C22⋊C4—34no—
1478C22⋊C4—34no—
1479C22⋊C4—41no—
1480C22⋊C4—41no—
1481C22⋊C4—41no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—62no—
1485C22⋊C4—62no—
1486C22⋊C4—62no—
1487C22⋊C4—62no—
1488C22⋊C4—62no—
1489C22⋊C4—62no—
1490C22⋊C4—62no—
1491C22⋊C4—62no—
1492C22⋊C4—62no—
1493C22⋊C4—62no—
1494C22⋊C4—62no—
1495C22⋊C4—62no—
1496C22⋊C4—62no—
1497C22⋊C4—62no—
1498C22⋊C4—62no—
1499C22⋊C4—62no—
1500C22⋊C4—62no—
1501C22⋊C4—62no—
1502C22⋊C4—62no—
1503C22⋊C4—62no—
1504C22⋊C4—62no—
1505C22⋊C4—62no—
1506C22⋊C4—62no—
1507C22⋊C4—62no—
1508C22⋊C4—62no—
1509C22⋊C4—62no—
1510C22⋊C4—62no—
1511C22⋊C4—62no—
1512C22⋊C4—62no—
1513C22⋊C4—121no—
1514C22⋊C4—121no—
1515C22⋊C4—121no—
1516C22⋊C4—121no—
1517C22⋊C4—121no—
1518C22⋊C4—121no—
1519C22⋊C4—121no—
1520C22⋊C4—121no—
1521C22⋊C4—121no—
1522C22⋊C4—121no—
1523C22⋊C4—121no—
1524C22⋊C4D3×D414yes—
1525C42—41no—
1526C42—41no—
1527C42—62no—
1528C42—62no—
1529C42—121no—
1530C42—121no—
1531C42—121no—
1532C42—121no—
1533C42—121no—
1534C42—121no—
1535C22×C3—22no—
1536C22×C3—22no—
1537C22×C3—22no—
1538C22×C3—22no—
1539C22×C3—22no—
1540C22×C3—22no—
1541C22×C3—41no—
1542C22×C3—41no—
1543C22×C3—41no—
1544C22×C3—41no—
1545C22×C3—41no—
1546C22×C3—41no—
1547C22×C3—41no—
1548C22×C3—41no—
1549C22×C3—41no—
1550C22×C3—41no—
1551C22×C3—41no—
1552C22×C3—41no—
1553C22×C3—41no—
1554C22×C3—41no—
1555C22×C3—41no—
1556C22×C3—41no—
1557C22×C3—41no—
1558C22×C3—41no—
1559C22×C3—41no—
1560C22×C3—41no—
1561C22×C3—41no—
1562C22×C3—41no—
1563C22×C3C23×D411yescharacteristic
1564C22×C3C22×#4111yescharacteristic
1565C22×C3C22×#4111yescharacteristic
1566C22×C3C2×H(5,𝔽2)11yescharacteristic
1567C22×C3C2×H(5,𝔽2)11yescharacteristic
1568C22×C3C2×H(5,𝔽2)11yescharacteristic
1569C22×C3C2×H(5,𝔽2)11yescharacteristic
1570C2×D3—22no—
1571C2×D3—22no—
1572C2×D3—22no—
1573C2×D3—22no—
1574C2×D3—22no—
1575C2×D3—22no—
1576C2×D3—22no—
1577C2×D3—22no—
1578C2×D3—22no—
1579C2×D3—22no—
1580C2×D3—22no—
1581C2×D3—22no—
1582C2×D3—416no—
1583C2×D3—41no—
1584C2×D3—41no—
1585C2×D3—41no—
1586C2×D3—41no—
1587C2×D3—41no—
1588C2×D3—41no—
1589C2×D3—41no—
1590C2×D3—41no—
1591C2×D3—41no—
1592C2×D3—41no—
1593C2×D3—41no—
1594C2×D3—41no—
1595C2×D3—41no—
1596C2×D3—41no—
1597C2×D3—41no—
1598C2×D3—41no—
1599C2×D3—41no—
1600C2×D3—41no—
1601C2×D3—41no—
1602C2×D3—41no—
1603C2×D3—41no—
1604C2×D3—41no—
1605C2×D3—88no—
1606C2×D3—88no—
1607C2×D3#53214yes—
1608C3×C4—22no—
1609C3×C4—22no—
1610C3×C4—22no—
1611C3×C4—22no—
1612C3×C4—22no—
1613C3×C4—41no—
1614C3×C4—41no—
1615C3×C4—41no—
1616C3×C4—41no—
1617C3×C4—41no—
1618C3×C4—41no—
1619Dic3—22no—
1620Dic3—22no—
1621Dic3—22no—
1622Dic3—22no—
1623Dic3—22no—
1624Dic3—41no—
1625Dic3—41no—
1626Dic3—41no—
1627Dic3—41no—
1628Dic3—41no—
1629Dic3—41no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—21no—
1646C23—21no—
1647C23—21no—
1648C23—21no—
1649C23—21no—
1650C23—21no—
1651C23—21no—
1652C23—21no—
1653C23—21no—
1654C23—21no—
1655C23—21no—
1656C23—32no—
1657C23—32no—
1658C23—32no—
1659C23—32no—
1660C23—32no—
1661C23—68no—
1662C23—68no—
1663C23—61no—
1664C23—61no—
1665C23—61no—
1666C23—61no—
1667C23—61no—
1668C23—61no—
1669C23—61no—
1670C23—61no—
1671C23—61no—
1672C23—61no—
1673C23—61no—
1674C23—61no—
1675C23—61no—
1676C23—61no—
1677C23—61no—
1678C23—61no—
1679C23—61no—
1680C23—61no—
1681C23—61no—
1682C23—61no—
1683C23—61no—
1684C23—61no—
1685C23—61no—
1686C23—61no—
1687C23—61no—
1688C23—61no—
1689C23—61no—
1690C23—61no—
1691C23—61no—
1692C23—61no—
1693C23—124no—
1694C23—124no—
1695C23—124no—
1696C23—124no—
1697C23—124no—
1698C23—124no—
1699C23—124no—
1700C23—124no—
1701C23—124no—
1702C23—124no—
1703C23—124no—
1704C23—242no—
1705C23—242no—
1706C23—242no—
1707C23—242no—
1708C23—242no—
1709C23—242no—
1710C23—242no—
1711C23—242no—
1712C23C2×D3×D412yes—
1713C23#100912yes—
1714C23C24×D311yescharacteristic
1715Q8—242no—
1716D4—44no—
1717D4—44no—
1718D4—44no—
1719D4—44no—
1720D4—82no—
1721D4—82no—
1722D4—124no—
1723D4—124no—
1724D4—124no—
1725D4—124no—
1726D4—124no—
1727D4—124no—
1728D4—124no—
1729D4—124no—
1730D4—124no—
1731D4—124no—
1732D4—124no—
1733D4—124no—
1734D4—124no—
1735D4—124no—
1736D4—242no—
1737D4—242no—
1738D4—242no—
1739D4—242no—
1740D4—242no—
1741D4—242no—
1742D4—242no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—32no—
1772C2×C4—32no—
1773C2×C4—32no—
1774C2×C4—32no—
1775C2×C4—32no—
1776C2×C4—44no—
1777C2×C4—68no—
1778C2×C4—61no—
1779C2×C4—61no—
1780C2×C4—61no—
1781C2×C4—61no—
1782C2×C4—61no—
1783C2×C4—61no—
1784C2×C4—61no—
1785C2×C4—61no—
1786C2×C4—61no—
1787C2×C4—61no—
1788C2×C4—61no—
1789C2×C4—61no—
1790C2×C4—61no—
1791C2×C4—61no—
1792C2×C4—61no—
1793C2×C4—61no—
1794C2×C4—61no—
1795C2×C4—61no—
1796C2×C4—61no—
1797C2×C4—61no—
1798C2×C4—61no—
1799C2×C4—61no—
1800C2×C4—61no—
1801C2×C4—61no—
1802C2×C4—61no—
1803C2×C4—61no—
1804C2×C4—61no—
1805C2×C4—61no—
1806C2×C4—82no—
1807C2×C4—82no—
1808C2×C4—124no—
1809C2×C4—124no—
1810C2×C4—124no—
1811C2×C4—124no—
1812C2×C4—124no—
1813C2×C4—124no—
1814C2×C4—242no—
1815C2×C4—242no—
1816C2×C4—242no—
1817C2×C4—242no—
1818C2×C4C2×D3×D412yes—
1819C2×C4C2×D3×D412yes—
1820C2×C4#100412yes—
1821C2×C4D3×#4112yes—
1822C2×C4D3×#4112yes—
1823C2×C3—42no—
1824C2×C3—42no—
1825C2×C3—81no—
1826C2×C3—81no—
1827C2×C3C2×#53211yescharacteristic
1828C2×C3#348411yescharacteristic
1829C2×C3#348411yescharacteristic
1830C2×C3#351911yescharacteristic
1831C2×C3#351911yescharacteristic
1832C2×C3#351911yescharacteristic
1833C2×C3#351911yescharacteristic
1834D3—24no—
1835D3—42no—
1836D3—42no—
1837D3—81no—
1838D3—81no—
1839C22—22no—
1840C22—22no—
1841C22—22no—
1842C22—22no—
1843C22—22no—
1844C22—22no—
1845C22—34no—
1846C22—41no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—41no—
1863C22—41no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—41no—
1868C22—62no—
1869C22—62no—
1870C22—62no—
1871C22—62no—
1872C22—62no—
1873C22—62no—
1874C22—62no—
1875C22—62no—
1876C22—62no—
1877C22—62no—
1878C22—62no—
1879C22—62no—
1880C22—1216no—
1881C22—121no—
1882C22—121no—
1883C22—121no—
1884C22—121no—
1885C22—121no—
1886C22—121no—
1887C22—121no—
1888C22—121no—
1889C22—121no—
1890C22—121no—
1891C22—121no—
1892C22—121no—
1893C22—121no—
1894C22—121no—
1895C22—121no—
1896C22—121no—
1897C22—121no—
1898C22—121no—
1899C22—121no—
1900C22—121no—
1901C22—121no—
1902C22—121no—
1903C22—248no—
1904C22—248no—
1905C22C22×D3×D411yescharacteristic
1906C22C2×#100411yescharacteristic
1907C22C2×D3×#4111yescharacteristic
1908C22C2×D3×#4111yescharacteristic
1909C22C2×#100911yescharacteristic
1910C22D3×H(5,𝔽2)11yescharacteristic
1911C22D3×H(5,𝔽2)11yescharacteristic
1912C4—22no—
1913C4—22no—
1914C4—22no—
1915C4—22no—
1916C4—22no—
1917C4—41no—
1918C4—41no—
1919C4—41no—
1920C4—41no—
1921C4—41no—
1922C4—41no—
1923C4—62no—
1924C4—62no—
1925C4—62no—
1926C4—62no—
1927C4—62no—
1928C4—121no—
1929C4—121no—
1930C4—121no—
1931C4—121no—
1932C4—121no—
1933C4—121no—
1934C3#3539511yescharacteristic, complemented, Sylow
1935C2—42no—
1936C2—42no—
1937C2—64no—
1938C2—81no—
1939C2—81no—
1940C2—122no—
1941C2—122no—
1942C2—241no—
1943C2—241no—
1944C2#8604611yescharacteristic
1945C2D3×#53211yescharacteristic
1946C2#8648811yescharacteristic
1947C2#8662011yescharacteristic
1948C2#8664011yescharacteristic
1949C2#8666211yescharacteristic
1950C2#8688811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2464C2
hypercenter#2464D3
hypocenterC3#35395
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2464

Complements

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

NH ≅ G/Ntype
1. C2×#5657C2semidirect
2. C2×D3×#121C2semidirect
3. C3×#2464C2semidirect
4. #82853C2semidirect
5. #82702C2semidirect
6. #82672C2semidirect
7. #82648C2semidirect
8. #82409C2semidirect
9. C4×#937C2semidirect
10. #77961C2semidirect
11. #77753C2semidirect
12. #77108C2semidirect
13. #76953C2semidirect
14. #76755C2semidirect
15. #76690C2semidirect
16. #76673C2semidirect
17. #76671C2semidirect
18. #76447C2semidirect
19. #76315C2semidirect
20. #75894C2semidirect
21. #75887C2semidirect
22. #75826C2semidirect
23. #75597C2semidirect
24. #74888C2semidirect
25. #74876C2semidirect
26. #74760C2semidirect
27. #74698C2semidirect
28. #74476C2semidirect
29. #74379C2semidirect
30. #73600C2semidirect
31. #73560C2semidirect
37. C2×C3×#123C22semidirect
39. C2×C3×#121C22semidirect
40. C2×C3×C4×D4C22semidirect
41. C2×#940C22semidirect
42. C2×#940C22semidirect
45. C2×#939C22semidirect
46. C2×#939C22semidirect
48. C2×#938C22semidirect
49. C2×#938C22semidirect
53. C2×#936C22semidirect
55. C2×#930C22semidirect
56. C2×#930C22semidirect
58. C2×C4×#67C22semidirect
62. C2×#898C22semidirect
65. C2×#895C22semidirect
66. C2×#894C22semidirect
68. C2×#893C22semidirect
70. C2×#885C22semidirect
71. C2×#885C22semidirect
75. C2×#884C22semidirect
76. C2×#884C22semidirect
80. C2×#67⋊C4C22semidirect
84. C2×#879C22semidirect
85. C2×#875C22semidirect
86. C3×#398C22semidirect
87. C3×#394C22semidirect
88. C3×#392C22semidirect
89. C3×#392C22semidirect
90. C3×#390C22semidirect
91. C3×#388C22semidirect
92. C3×#388C22semidirect
93. C3×#386C22semidirect
94. C3×#386C22semidirect
95. C3×#385C22semidirect
96. C3×C4×C22⋊C4C22semidirect
97. #5223C22semidirect
98. #5223C22semidirect
99. #5223C22semidirect
100. #5223C22semidirect
101. #5222C22semidirect
102. #5221C22semidirect
103. #5220C22semidirect
104. #5220C22semidirect
105. #5213C22semidirect
106. #5213C22semidirect
107. #5213C22semidirect
108. C4×#217C22semidirect
109. C4×#217C22semidirect
110. #4991C22semidirect
111. #4990C22semidirect
112. #4990C22semidirect
115. #4989C22semidirect
116. #4989C22semidirect
117. #4988C22semidirect
118. #4984C22semidirect
119. #4984C22semidirect
120. #4983C22semidirect
121. #4979C22semidirect
122. #4961C22semidirect
123. #4961C22semidirect
124. #4961C22semidirect
125. #4961C22semidirect
126. #4961C22semidirect
127. #4961C22semidirect
128. #4961C22semidirect
129. #4960C22semidirect
130. #4960C22semidirect
131. #4960C22semidirect
132. #4960C22semidirect
133. #4959C22semidirect
134. #4959C22semidirect
135. #4959C22semidirect
136. #4958C22semidirect
137. #4957C22semidirect
138. #4957C22semidirect
139. #4957C22semidirect
140. #4957C22semidirect
143. #4956C22semidirect
144. #4956C22semidirect
145. #4956C22semidirect
146. #4956C22semidirect
151. #4951C22semidirect
152. #4946C22semidirect
153. #4945C22semidirect
154. #4944C22semidirect
155. #4944C22semidirect
156. Dic3×C22⋊C4C22semidirect
157. Dic3×C22⋊C4C22semidirect
158. Dic3×C22⋊C4C22semidirect
159. #4940C22semidirect
160. #4939C22semidirect
163. C4×(C2×D3)⋊C4C22semidirect
164. C4×(C2×D3)⋊C4C22semidirect
165. C4×(C2×D3)⋊C4C22semidirect
166. #4672C22semidirect
167. #4671C22semidirect
168. #4671C22semidirect
169. #4670C22semidirect
170. #4669C22semidirect
171. #4669C22semidirect
176. #4666C22semidirect
177. #4666C22semidirect
178. #4666C22semidirect
181. #4665C22semidirect
182. #4665C22semidirect
183. #4665C22semidirect
184. #4665C22semidirect
185. #4660C22semidirect
186. #4658C22semidirect
187. #4656C22semidirect
188. #4647C22semidirect
189. #4647C22semidirect
205. #2464D3semidirect
408. D3×C22⋊C4D4semidirect
449. C2×#123C2×D3semidirect
470. C2×#121C2×D3semidirect
482. C2×C4×D4C2×D3semidirect
491. #398C2×D3semidirect
507. #394C2×D3semidirect
518. #392C2×D3semidirect
519. #392C2×D3semidirect
527. #390C2×D3semidirect
542. #388C2×D3semidirect
543. #388C2×D3semidirect
562. #386C2×D3semidirect
563. #386C2×D3semidirect
571. #385C2×D3semidirect
591. C4×C22⋊C4C2×D3semidirect
1934. C3#35395semidirect

Maximal subgroups

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

subgroupindex
C2×#56572
C2×D3×#1212
C3×#24642
#828532
#827022
#826722
#826482
#824092
C4×#9372
#779612
#777532
#771082
#769532
#767552
#766902
#766732
#766712
#764472
#763152
#758942
#758872
#758262
#755972
#748882
#748762
#747602
#746982
#744762
#743792
#736002
#735602
#353953