Finite Group Databasebeta

← #11025268

Subgroups — #11025268

Order 768.

2868 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5704C211yesmaximal, characteristic, complemented
2C2×D3×#123C211yesmaximal, characteristic, complemented
3C3×#2695C211yesmaximal, characteristic, complemented
4#83081C211yesmaximal, characteristic, complemented
5#82907C211yesmaximal, characteristic, complemented
6#78241C211yesmaximal, characteristic, complemented
7#78144C211yesmaximal, characteristic, complemented
8#77951C211yesmaximal, characteristic, complemented
9#77838C211yesmaximal, characteristic, complemented
10#77821C211yesmaximal, characteristic, complemented
11#77742C211yesmaximal, characteristic, complemented
12#77696C211yesmaximal, characteristic, complemented
13#77474C211yesmaximal, characteristic, complemented
14#77416C211yesmaximal, characteristic, complemented
15#77316C211yesmaximal, characteristic, complemented
16#77111C211yesmaximal, characteristic, complemented
17#76895C211yesmaximal, characteristic, complemented
18#76268C211yesmaximal, characteristic, complemented
19#76206C211yesmaximal, characteristic, complemented
20#75526C211yesmaximal, characteristic, complemented
21#75503C211yesmaximal, characteristic, complemented
22#74884C211yesmaximal, characteristic, complemented
23#74758C211yesmaximal, characteristic, complemented
24#74601C211yesmaximal, characteristic, complemented
25#74511C211yesmaximal, characteristic, complemented
26#74390C211yesmaximal, characteristic, complemented
27#74379C211yesmaximal, characteristic, complemented
28#74048C211yesmaximal, characteristic, complemented
29#74042C211yesmaximal, characteristic, complemented
30#74007C211yesmaximal, characteristic, complemented
31#73964C211yesmaximal, characteristic, complemented
32#37713—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C23×D12C2211yescharacteristic
35C23×C4×D3C2211yescharacteristic, complemented
36C2×C3×#126C2211yescharacteristic, complemented
37C2×C3×#123C2211yescharacteristic
38C2×#937C2211yescharacteristic
39C2×#935C2211yescharacteristic
40C2×#930C2211yescharacteristic, complemented
41C2×#929C2211yescharacteristic, complemented
42#5704—28no—
43D3×#123—28no—
44C2×#898C2211yescharacteristic, complemented
45C2×#896C2211yescharacteristic, complemented
46C2×#896C2211yescharacteristic, complemented
47C2×#895C2211yescharacteristic
48C2×#895C2211yescharacteristic
49C2×#895C2211yescharacteristic, complemented
50C2×#895C2211yescharacteristic, complemented
51C2×#894C2211yescharacteristic, complemented
52C2×#894C2211yescharacteristic, complemented
53C2×#894C2211yescharacteristic, complemented
54C2×#893C2211yescharacteristic
55C2×#893C2211yescharacteristic
56C2×#893C2211yescharacteristic, complemented
57C2×#893C2211yescharacteristic, complemented
58C2×D3×C4⋊C4C2211yescharacteristic, complemented
59C2×D3×C4⋊C4C2211yescharacteristic, complemented
60C2×#886C2211yescharacteristic, complemented
61C2×#885C2211yescharacteristic, complemented
62C2×#884C2211yescharacteristic
63C2×#884C2211yescharacteristic, complemented
64C2×#883C2211yescharacteristic
65C2×#883C2211yescharacteristic
66C2×#882C2211yescharacteristic
67C2×#882C2211yescharacteristic
68C2×#882C2211yescharacteristic
69C2×#882C2211yescharacteristic
70C2×#882C2211yescharacteristic, complemented
71C2×#882C2211yescharacteristic, complemented
72C2×#67⋊C4C2211yescharacteristic, complemented
73C2×D3×C22⋊C4C2211yescharacteristic
74C2×D3×C22⋊C4C2211yescharacteristic
75C2×D3×C22⋊C4C2211yescharacteristic, complemented
76C2×D3×C22⋊C4C2211yescharacteristic, complemented
77C2×#875C2211yescharacteristic, complemented
78C2×C4×D12C2211yescharacteristic, complemented
79C3×#400C2211yescharacteristic, complemented
80C3×#398C2211yescharacteristic, complemented
81C3×#398C2211yescharacteristic, complemented
82C3×#397C2211yescharacteristic, complemented
83C3×#396C2211yescharacteristic, complemented
84C3×#394C2211yescharacteristic
85C3×#389C2211yescharacteristic, complemented
86C3×#388C2211yescharacteristic, complemented
87C3×#386C2211yescharacteristic
88C3×#385C2211yescharacteristic, complemented
89C3×#385C2211yescharacteristic, complemented
90C3×#380C2211yescharacteristic, complemented
91C3×#380C2211yescharacteristic, complemented
92#5223C2211yescharacteristic
93#5213C2211yescharacteristic
94#5213C2211yescharacteristic, complemented
95#5213C2211yescharacteristic, complemented
96C4×#217C2211yescharacteristic, complemented
97#4994C2211yescharacteristic, complemented
98#4994C2211yescharacteristic, complemented
99#4994C2211yescharacteristic, complemented
100#4993C2211yescharacteristic, complemented
101#4992C2211yescharacteristic, complemented
102#4992C2211yescharacteristic, complemented
103#4991C2211yescharacteristic, complemented
104#4991C2211yescharacteristic, complemented
105#4991C2211yescharacteristic, complemented
106#4991C2211yescharacteristic, complemented
107#4991C2211yescharacteristic, complemented
108#4991C2211yescharacteristic, complemented
109#4990C2211yescharacteristic, complemented
110#4990C2211yescharacteristic, complemented
111#4989C2211yescharacteristic, complemented
112#4989C2211yescharacteristic, complemented
113#4989C2211yescharacteristic, complemented
114#4989C2211yescharacteristic, complemented
115#4989C2211yescharacteristic, complemented
116#4988C2211yescharacteristic, complemented
117#4988C2211yescharacteristic, complemented
118#4988C2211yescharacteristic, complemented
119#4988C2211yescharacteristic, complemented
120#4987C2211yescharacteristic, complemented
121#4987C2211yescharacteristic, complemented
122#4982C2211yescharacteristic, complemented
123#4978C2211yescharacteristic, complemented
124Dic3×C4⋊C4C2211yescharacteristic, complemented
125#4960C2211yescharacteristic
126#4960C2211yescharacteristic
127#4960C2211yescharacteristic, complemented
128#4959C2211yescharacteristic, complemented
129#4959C2211yescharacteristic, complemented
130#4958C2211yescharacteristic, complemented
131#4958C2211yescharacteristic, complemented
132#4957C2211yescharacteristic
133#4957C2211yescharacteristic, complemented
134#4957C2211yescharacteristic, complemented
135#4957C2211yescharacteristic, complemented
136#4956C2211yescharacteristic, complemented
137#4955C2211yescharacteristic
138#4955C2211yescharacteristic
139#4955C2211yescharacteristic, complemented
140#4955C2211yescharacteristic, complemented
141#4955C2211yescharacteristic, complemented
142#4952C2211yescharacteristic, complemented
143#4952C2211yescharacteristic, complemented
144#4951C2211yescharacteristic, complemented
145#4947C2211yescharacteristic, complemented
146#4945C2211yescharacteristic, complemented
147Dic3×C22⋊C4C2211yescharacteristic, complemented
148#4940C2211yescharacteristic, complemented
149C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
150#4676C2211yescharacteristic, complemented
151#4675C2211yescharacteristic, complemented
152#4675C2211yescharacteristic, complemented
153#4673C2211yescharacteristic, complemented
154#4672C2211yescharacteristic, complemented
155#4672C2211yescharacteristic, complemented
156#4671C2211yescharacteristic
157#4671C2211yescharacteristic
158#4671C2211yescharacteristic, complemented
159#4671C2211yescharacteristic, complemented
160#4671C2211yescharacteristic, complemented
161#4670C2211yescharacteristic, complemented
162#4669C2211yescharacteristic, complemented
163#4669C2211yescharacteristic, complemented
164#4669C2211yescharacteristic, complemented
165#4669C2211yescharacteristic, complemented
166#4669C2211yescharacteristic, complemented
167#4668C2211yescharacteristic, complemented
168#4667C2211yescharacteristic, complemented
169#4667C2211yescharacteristic, complemented
170#4666C2211yescharacteristic, complemented
171#4666C2211yescharacteristic, complemented
172#4665C2211yescharacteristic
173#4665C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic
177#4665C2211yescharacteristic
178#4665C2211yescharacteristic, complemented
179#4665C2211yescharacteristic, complemented
180#4665C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183#4665C2211yescharacteristic, complemented
184#4665C2211yescharacteristic, complemented
185#4658C2211yescharacteristic, complemented
186#4653C2211yescharacteristic, complemented
187#4652C2211yescharacteristic, complemented
188#4647C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, complemented
190C2×#538—31no—
191C22×#123—31no—
192#2847—31no—
193#2710—31no—
194#2708—31no—
195#2703—31no—
196#2697—31no—
197#2696—31no—
198#2695D311yescharacteristic, complemented
199#2682—31no—
200#2678—31no—
201#2661—31no—
202#2630—31no—
203#2557—31no—
204#2554—31no—
205#2481—31no—
206#2480—31no—
207#2472—31no—
208#2472—31no—
209#2456—31no—
210#2443—31no—
211#2424—31no—
212#2418—31no—
213#2417—31no—
214#2410—31no—
215#2408—31no—
216#2403—31no—
217#2361—31no—
218D4×C22⋊C4—31no—
219#2335—31no—
220C4×#120—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C22×#67C2311yescharacteristic
228C22×#67C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C23×Dic3C2311yescharacteristic
234C2×D3×D4—24no—
235C2×D3×D4—42no—
236C2×D3×D4—42no—
237C22×D12—24no—
238C22×D12—42no—
239C22×D12—42no—
240C22×D12C2311yescharacteristic
241C22×D12C2311yescharacteristic
242C22×D12C2311yescharacteristic
243C22×D12C2311yescharacteristic
244C22×D12C2311yescharacteristic
245C22×D12C2311yescharacteristic
246C22×D12C2311yescharacteristic
247C22×D12C2311yescharacteristic
248C22×D12C2311yescharacteristic
249C22×D12C2311yescharacteristic
250C22×D12C2311yescharacteristic
251C22×D12C2311yescharacteristic
252C22×C4×D3—24no—
253C22×C4×D3—42no—
254C22×C4×D3—42no—
255C22×C4×D3C2311yescharacteristic
256C22×C4×D3C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×C4×D3C2311yescharacteristic
259C22×C4×D3C2311yescharacteristic
260C22×C4×D3C2311yescharacteristic
261C22×C4×D3C2311yescharacteristic
262C22×C4×D3C2311yescharacteristic
263C22×C4×D3C2311yescharacteristic
264C22×C4×D3C2311yescharacteristic
265C22×Dic6C2311yescharacteristic
266C3×#126—24no—
267C3×#123—24no—
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C4⋊C4C2311yescharacteristic
272C2×C3×C4⋊C4C2311yescharacteristic
273C2×C3×C4⋊C4C2311yescharacteristic
274C2×C3×C4⋊C4C2311yescharacteristic
275C2×C3×C4⋊C4C2311yescharacteristic
276C2×C3×C4⋊C4C2311yescharacteristic
277C2×C3×C4⋊C4C2311yescharacteristic
278C2×C3×C4⋊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×C22⋊C4C2311yescharacteristic
289C2×C3×C42C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296#937—42no—
297#935—24no—
298#930—42no—
299#929—24no—
300C2×(C2×D3)⋊C4C2311yescharacteristic
301C2×(C2×D3)⋊C4C2311yescharacteristic
302C2×(C2×D3)⋊C4C2311yescharacteristic
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×C4⋊Dic3C2311yescharacteristic
345C2×C4⋊Dic3C2311yescharacteristic
346C2×C4⋊Dic3C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×C4×Dic3C2311yescharacteristic
358C2×C4×Dic3C2311yescharacteristic
359C2×C4×Dic3C2311yescharacteristic
360C2×C4×Dic3C2311yescharacteristic
361C2×C4×Dic3C2311yescharacteristic
362C2×C4×Dic3C2311yescharacteristic
363#898—24no—
364#896—24no—
365#896—42no—
366#895—24no—
367#895—24no—
368#895—24no—
369#895—42no—
370#894—24no—
371#894—24no—
372#894—24no—
373#893—24no—
374#893—42no—
375#893—42no—
376#893—42no—
377D3×C4⋊C4—24no—
378D3×C4⋊C4—24no—
379#886—24no—
380#885—24no—
381#884—24no—
382#884—42no—
383#883—24no—
384#883D418yescomplemented
385#882—24no—
386#882—24no—
387#882—24no—
388#882—42no—
389#882—42no—
390#882—42no—
391#67⋊C4—42no—
392D3×C22⋊C4—24no—
393D3×C22⋊C4—24no—
394D3×C22⋊C4—24no—
395D3×C22⋊C4—24no—
396#875—24no—
397C4×D12—24no—
398C3×#95C2311yescharacteristic
399C3×#95C2311yescharacteristic
400C3×#95C2311yescharacteristic
401C3×#95C2311yescharacteristic
402C3×#95C2311yescharacteristic
403C3×#95C2311yescharacteristic
404C3×#95C2311yescharacteristic
405C3×#95C2311yescharacteristic
406C3×#95C2311yescharacteristic
407C3×#95C2311yescharacteristic
408C3⋊#95C2311yescharacteristic
409C3⋊#95C2311yescharacteristic
410C3⋊#95C2311yescharacteristic
411C3⋊#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C23×D4—31no—
427C23×D4—31no—
428C24×C4—31no—
429#538—68no—
430C2×#126—31no—
431C2×#126C2×D311yescharacteristic, complemented
432C2×#124—31no—
433C2×#124—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×#123—31no—
439C2×#123—31no—
440C2×#123—31no—
441C2×#123—31no—
442C2×#123—68no—
443C2×#123C2×D311yescharacteristic
444C2×C22⋊Q8—31no—
445C2×C22⋊Q8—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#120—31no—
454C2×#120—31no—
455C2×#120—31no—
456C2×#120—31no—
457C2×#120—31no—
458C2×#120—31no—
459C2×#120—31no—
460C2×C4×D4—31no—
461C2×C4×D4—31no—
462C2×C4×D4—31no—
463C2×C4×D4—31no—
464C2×C4×D4—31no—
465C2×C4×D4—31no—
466C22×C4⋊C4—31no—
467C22×C4⋊C4—31no—
468C22×C22⋊C4—31no—
469C22×C22⋊C4—31no—
470C22×C22⋊C4—31no—
471C22×C22⋊C4—31no—
472#400—31no—
473#400C2×D311yescharacteristic, complemented
474#399—31no—
475#398—31no—
476#398C2×D311yescharacteristic, complemented
477#398C2×D311yescharacteristic, complemented
478#397—31no—
479#397—31no—
480#397—31no—
481#397—31no—
482#397—31no—
483#397—31no—
484#397C2×D311yescharacteristic, complemented
485#396—31no—
486#396—31no—
487#396—31no—
488#396—31no—
489#396C2×D311yescharacteristic, complemented
490#394—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—31no—
498#394—31no—
499#394—31no—
500#394C2×D311yescharacteristic
501#393—31no—
502#393—31no—
503#392—31no—
504#392—31no—
505#392—31no—
506#392—31no—
507#392—31no—
508#392—31no—
509#392—31no—
510#392—31no—
511#392—31no—
512#391—31no—
513#390—31no—
514#390—31no—
515#390—31no—
516#390—31no—
517#390—31no—
518#390—31no—
519#390—31no—
520#390—31no—
521#389—31no—
522#389C2×D311yescharacteristic, complemented
523#388—31no—
524#388—31no—
525#388—31no—
526#388—31no—
527#388—31no—
528#388—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#388C2×D311yescharacteristic, complemented
535#387—31no—
536#387—31no—
537#387—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386—31no—
557#386C2×D311yescharacteristic
558#385—31no—
559#385—31no—
560#385—31no—
561#385—31no—
562#385—31no—
563#385—31no—
564#385C2×D311yescharacteristic, complemented
565#385C2×D311yescharacteristic, complemented
566#380—31no—
567#380—31no—
568#380—31no—
569#380—31no—
570#380C2×D311yescharacteristic, complemented
571#380C2×D311yescharacteristic, complemented
572#379—31no—
573#379—31no—
574#379—31no—
575#379—31no—
576#379—31no—
577C4×C4⋊C4—31no—
578C4×C22⋊C4—31no—
579C4×C22⋊C4—31no—
580C4×C22⋊C4—31no—
581C4×C22⋊C4—31no—
582C4×C22⋊C4—31no—
583C24×C3C2411yescharacteristic
584C24×C3C2411yescharacteristic
585C23×D3—22no—
586C23×D3—22no—
587C23×D3—22no—
588C23×D3—22no—
589C23×D3—22no—
590C23×D3—22no—
591C23×D3—22no—
592C23×D3—22no—
593C23×D3—22no—
594C23×D3—22no—
595C23×D3—22no—
596C23×D3—41no—
597C23×D3—41no—
598C23×D3—41no—
599C23×D3—41no—
600C23×D3—41no—
601C23×D3—41no—
602C23×D3—41no—
603C23×D3—41no—
604C23×D3—41no—
605C23×D3—41no—
606C23×D3C2411yescharacteristic
607C23×D3C2411yescharacteristic
608C23×D3C2411yescharacteristic
609C23×D3C2411yescharacteristic
610C23×D3C2411yescharacteristic
611C23×D3C2411yescharacteristic
612C2×C3×D4—22no—
613C2×C3×D4—22no—
614C2×C3×D4—41no—
615C22×C3×C4—22no—
616C22×C3×C4—22no—
617C22×C3×C4—22no—
618C22×C3×C4—41no—
619C22×C3×C4—41no—
620C22×C3×C4—41no—
621C22×C3×C4C2411yescharacteristic
622C22×C3×C4C2411yescharacteristic
623C22×C3×C4C2411yescharacteristic
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C22×C3×C4C2411yescharacteristic
627C22×C3×C4C2411yescharacteristic
628C22×C3×C4C2411yescharacteristic
629C22×C3×C4C2411yescharacteristic
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C2×#67—22no—
635C2×#67—22no—
636C2×#67—22no—
637C2×#67—22no—
638C2×#67—22no—
639C2×#67—22no—
640C2×#67—22no—
641C2×#67—41no—
642C2×#67—41no—
643C2×#67—41no—
644C2×#67—41no—
645C2×#67—41no—
646C2×#67—41no—
647C2×#67—41no—
648C2×#67—41no—
649C2×#67—41no—
650C2×#67—41no—
651C2×#67C2×D414yes—
652C22×Dic3—22no—
653C22×Dic3—22no—
654C22×Dic3—41no—
655C22×Dic3C2411yescharacteristic
656C22×Dic3C2411yescharacteristic
657C22×Dic3C2411yescharacteristic
658C22×Dic3C2411yescharacteristic
659C22×Dic3C2411yescharacteristic
660C22×Dic3C2411yescharacteristic
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2411yescharacteristic
664C22×Dic3C2411yescharacteristic
665D3×D4—416no—
666C2×D12—22no—
667C2×D12—22no—
668C2×D12—22no—
669C2×D12—22no—
670C2×D12—22no—
671C2×D12—22no—
672C2×D12—22no—
673C2×D12—22no—
674C2×D12—22no—
675C2×D12—22no—
676C2×D12—22no—
677C2×D12—22no—
678C2×D12—22no—
679C2×D12—22no—
680C2×D12—22no—
681C2×D12—22no—
682C2×D12—22no—
683C2×D12—22no—
684C2×D12—416no—
685C2×D12—41no—
686C2×D12—41no—
687C2×D12—41no—
688C2×D12—41no—
689C2×D12—41no—
690C2×D12—41no—
691C2×D12—41no—
692C2×D12—41no—
693C2×D12—41no—
694C2×D12—41no—
695C2×D12—41no—
696C2×D12—41no—
697C2×D12—41no—
698C2×D12—41no—
699C2×D12—41no—
700C2×D12—41no—
701C2×D12—41no—
702C2×D12#4114yes—
703C2×C4×D3—22no—
704C2×C4×D3—22no—
705C2×C4×D3—22no—
706C2×C4×D3—22no—
707C2×C4×D3—22no—
708C2×C4×D3—22no—
709C2×C4×D3—22no—
710C2×C4×D3—22no—
711C2×C4×D3—22no—
712C2×C4×D3—22no—
713C2×C4×D3—22no—
714C2×C4×D3—22no—
715C2×C4×D3—22no—
716C2×C4×D3—22no—
717C2×C4×D3—41no—
718C2×C4×D3—41no—
719C2×C4×D3—41no—
720C2×C4×D3—41no—
721C2×C4×D3—41no—
722C2×C4×D3—41no—
723C2×C4×D3—41no—
724C2×C4×D3—41no—
725C2×C4×D3—41no—
726C2×C4×D3—416no—
727C2×C4×D3—41no—
728C2×C4×D3—41no—
729C2×C4×D3—41no—
730C2×C4×D3—41no—
731C2×C4×D3—41no—
732C2×C4×D3—41no—
733C2×C4×D3C2×D414yescomplemented
734C2×Dic6—22no—
735C2×Dic6—41no—
736C2×Dic6—41no—
737C3×C4⋊C4—22no—
738C3×C4⋊C4—22no—
739C3×C4⋊C4—22no—
740C3×C4⋊C4—22no—
741C3×C4⋊C4—22no—
742C3×C4⋊C4—22no—
743C3×C4⋊C4—41no—
744C3×C4⋊C4—41no—
745C3×C4⋊C4—41no—
746C3×C4⋊C4—41no—
747C3×C4⋊C4—41no—
748C3×C22⋊C4—22no—
749C3×C22⋊C4—22no—
750C3×C22⋊C4—22no—
751C3×C22⋊C4—22no—
752C3×C22⋊C4—22no—
753C3×C22⋊C4—22no—
754C3×C22⋊C4—41no—
755C3×C22⋊C4—41no—
756C3×C22⋊C4—41no—
757C3×C22⋊C4C2×D414yes—
758C3×C42—22no—
759#217—22no—
760#217—22no—
761#217—41no—
762#217—41no—
763#217—41no—
764#217C2×D414yes—
765(C2×D3)⋊C4—22no—
766(C2×D3)⋊C4—22no—
767(C2×D3)⋊C4—22no—
768(C2×D3)⋊C4—22no—
769(C2×D3)⋊C4—22no—
770(C2×D3)⋊C4—22no—
771(C2×D3)⋊C4—22no—
772(C2×D3)⋊C4—22no—
773(C2×D3)⋊C4—22no—
774(C2×D3)⋊C4—22no—
775(C2×D3)⋊C4—22no—
776(C2×D3)⋊C4—22no—
777(C2×D3)⋊C4—22no—
778(C2×D3)⋊C4—22no—
779(C2×D3)⋊C4—22no—
780(C2×D3)⋊C4—22no—
781(C2×D3)⋊C4—22no—
782(C2×D3)⋊C4—22no—
783(C2×D3)⋊C4—22no—
784(C2×D3)⋊C4—22no—
785(C2×D3)⋊C4—22no—
786(C2×D3)⋊C4—22no—
787(C2×D3)⋊C4—41no—
788(C2×D3)⋊C4—41no—
789(C2×D3)⋊C4—41no—
790(C2×D3)⋊C4—41no—
791(C2×D3)⋊C4—41no—
792(C2×D3)⋊C4—41no—
793(C2×D3)⋊C4—41no—
794(C2×D3)⋊C4—41no—
795(C2×D3)⋊C4—41no—
796(C2×D3)⋊C4—41no—
797(C2×D3)⋊C4—41no—
798(C2×D3)⋊C4—41no—
799(C2×D3)⋊C4—41no—
800(C2×D3)⋊C4—41no—
801(C2×D3)⋊C4—41no—
802(C2×D3)⋊C4—41no—
803(C2×D3)⋊C4—41no—
804(C2×D3)⋊C4—41no—
805(C2×D3)⋊C4—41no—
806(C2×D3)⋊C4—41no—
807(C2×D3)⋊C4—41no—
808(C2×D3)⋊C4C2×D414yescomplemented
809C4⋊Dic3—22no—
810C4⋊Dic3—41no—
811C4⋊Dic3C2×D414yescomplemented
812Dic3⋊C4—22no—
813Dic3⋊C4—22no—
814Dic3⋊C4—22no—
815Dic3⋊C4—22no—
816Dic3⋊C4—41no—
817Dic3⋊C4—41no—
818Dic3⋊C4—41no—
819Dic3⋊C4—41no—
820Dic3⋊C4—41no—
821Dic3⋊C4C2×D414yescomplemented
822C4×Dic3—22no—
823C4×Dic3—41no—
824C4×Dic3—41no—
825C4×Dic3—41no—
826C4×Dic3—41no—
827C4×Dic3—41no—
828C25—31no—
829C25—31no—
830C25—31no—
831C22×Q8—31no—
832C22×D4—31no—
833C22×D4—31no—
834C22×D4—31no—
835C22×D4—31no—
836C22×D4—31no—
837C22×D4—31no—
838C22×D4—31no—
839C22×D4—31no—
840C22×D4—31no—
841C22×D4—31no—
842C22×D4—31no—
843C22×D4—31no—
844C22×D4—31no—
845C22×D4—31no—
846C22×D4—31no—
847C22×D4—31no—
848C22×D4—31no—
849C22×D4—31no—
850C22×D4—64no—
851C22×D4—64no—
852C22×D4—122no—
853C22×D4—122no—
854C22×D4—122no—
855C22×D4—122no—
856C22×D4C22×D311yescharacteristic
857C23×C4—31no—
858C23×C4—31no—
859C23×C4—31no—
860C23×C4—31no—
861C23×C4—31no—
862C23×C4—31no—
863C23×C4—31no—
864C23×C4—31no—
865C23×C4—31no—
866C23×C4—31no—
867C23×C4—31no—
868C23×C4—64no—
869C23×C4—122no—
870C23×C4—122no—
871C23×C4C22×D311yescharacteristic
872C23×C4C22×D311yescharacteristic
873#126—24no—
874#126—64no—
875#124—64no—
876#124—64no—
877#123—24no—
878#123—38no—
879#123—64no—
880#123—64no—
881#123—64no—
882#123—64no—
883#123—64no—
884#123—64no—
885#123—64no—
886C22⋊Q8—64no—
887C22⋊Q8—122no—
888#121—64no—
889#121—64no—
890#121—64no—
891#121—64no—
892#121—122no—
893#121—122no—
894#121—122no—
895#120—64no—
896#120—64no—
897#120—64no—
898#120—122no—
899#120—122no—
900#120—122no—
901#120—122no—
902C4×D4—64no—
903C4×D4—64no—
904C4×D4—122no—
905C4×D4—122no—
906C4×D4—122no—
907C4×D4—122no—
908C2×C4⋊C4—31no—
909C2×C4⋊C4—31no—
910C2×C4⋊C4—31no—
911C2×C4⋊C4—31no—
912C2×C4⋊C4—31no—
913C2×C4⋊C4—31no—
914C2×C4⋊C4—31no—
915C2×C4⋊C4—31no—
916C2×C4⋊C4—31no—
917C2×C4⋊C4—31no—
918C2×C4⋊C4—31no—
919C2×C4⋊C4—31no—
920C2×C4⋊C4—31no—
921C2×C4⋊C4—64no—
922C2×C4⋊C4—64no—
923C2×C4⋊C4C22×D311yescharacteristic
924C2×C4⋊C4C22×D311yescharacteristic
925C2×C4⋊C4C22×D311yescharacteristic
926C2×C4⋊C4C22×D311yescharacteristic
927C2×C4⋊C4C22×D311yescharacteristic
928C2×C4⋊C4C22×D311yescharacteristic
929C2×C4⋊C4C22×D311yescharacteristic
930C2×C4⋊C4C22×D311yescharacteristic
931C2×C4⋊C4C22×D311yescharacteristic
932C2×C4⋊C4C22×D311yescharacteristic
933C2×C4⋊C4C22×D311yescharacteristic
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊C4—31no—
943C2×C22⋊C4—31no—
944C2×C22⋊C4—31no—
945C2×C22⋊C4—31no—
946C2×C22⋊C4—31no—
947C2×C22⋊C4—31no—
948C2×C22⋊C4—31no—
949C2×C22⋊C4—31no—
950C2×C22⋊C4—31no—
951C2×C22⋊C4—31no—
952C2×C22⋊C4—31no—
953C2×C22⋊C4—31no—
954C2×C22⋊C4—31no—
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
957C2×C22⋊C4—31no—
958C2×C22⋊C4—31no—
959C2×C22⋊C4—31no—
960C2×C22⋊C4—31no—
961C2×C22⋊C4—31no—
962C2×C22⋊C4—31no—
963C2×C22⋊C4—31no—
964C2×C22⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—31no—
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—31no—
973C2×C22⋊C4—31no—
974C2×C22⋊C4—31no—
975C2×C22⋊C4—31no—
976C2×C22⋊C4—31no—
977C2×C22⋊C4—31no—
978C2×C22⋊C4—31no—
979C2×C22⋊C4—31no—
980C2×C22⋊C4—31no—
981C2×C22⋊C4—31no—
982C2×C22⋊C4—31no—
983C2×C22⋊C4—31no—
984C2×C22⋊C4—64no—
985C2×C22⋊C4—64no—
986C2×C22⋊C4—64no—
987C2×C22⋊C4—64no—
988C2×C22⋊C4C22×D311yescharacteristic
989C2×C22⋊C4C22×D311yescharacteristic
990C2×C22⋊C4C22×D311yescharacteristic
991C2×C22⋊C4C22×D311yescharacteristic
992C2×C22⋊C4C22×D311yescharacteristic
993C2×C22⋊C4C22×D311yescharacteristic
994C2×C22⋊C4C22×D311yescharacteristic
995C2×C22⋊C4C22×D311yescharacteristic
996C2×C22⋊C4C22×D311yescharacteristic
997C2×C22⋊C4C22×D311yescharacteristic
998C2×C42—31no—
999C2×C42—31no—
1000C2×C42—31no—
1001C2×C42—31no—
1002C2×C42—31no—
1003C2×C42—31no—
1004C2×C42C22×D311yescharacteristic
1005#95—31no—
1006#95—31no—
1007#95—31no—
1008#95—31no—
1009#95—31no—
1010#95—31no—
1011#95—31no—
1012#95—31no—
1013#95—31no—
1014#95—31no—
1015#95—31no—
1016#95—31no—
1017#95—31no—
1018#95—31no—
1019#95—31no—
1020#95—31no—
1021#95—31no—
1022#95—31no—
1023#95C22×D311yescharacteristic
1024#95C22×D311yescharacteristic
1025#95C22×D311yescharacteristic
1026#95C22×D311yescharacteristic
1027#95C22×D311yescharacteristic
1028#95C22×D311yescharacteristic
1029#95C22×D311yescharacteristic
1030#95C22×D311yescharacteristic
1031#95C22×D311yescharacteristic
1032#95C22×D311yescharacteristic
1033C23×C3—21no—
1034C23×C3—21no—
1035C23×C3—21no—
1036C23×C3—21no—
1037C23×C3—21no—
1038C23×C3—21no—
1039C23×C3—21no—
1040C23×C3—21no—
1041C23×C3—21no—
1042C23×C3—21no—
1043C23×C3—21no—
1044C23×C3—21no—
1045C23×C3C22×D412yes—
1046C23×C3H(5,𝔽2)12yes—
1047C23×C3C2511yescharacteristic
1048C22×D3—21no—
1049C22×D3—21no—
1050C22×D3—21no—
1051C22×D3—21no—
1052C22×D3—28no—
1053C22×D3—21no—
1054C22×D3—21no—
1055C22×D3—21no—
1056C22×D3—21no—
1057C22×D3—21no—
1058C22×D3—21no—
1059C22×D3—21no—
1060C22×D3—21no—
1061C22×D3—21no—
1062C22×D3—21no—
1063C22×D3—21no—
1064C22×D3—21no—
1065C22×D3—21no—
1066C22×D3—21no—
1067C22×D3—21no—
1068C22×D3—21no—
1069C22×D3—21no—
1070C22×D3—21no—
1071C22×D3—21no—
1072C22×D3—21no—
1073C22×D3—21no—
1074C22×D3—21no—
1075C22×D3—21no—
1076C22×D3—21no—
1077C22×D3—21no—
1078C22×D3—21no—
1079C22×D3—21no—
1080C22×D3—21no—
1081C22×D3—21no—
1082C22×D3—21no—
1083C22×D3—21no—
1084C22×D3—21no—
1085C22×D3—21no—
1086C22×D3—44no—
1087C22×D3—44no—
1088C22×D3—44no—
1089C22×D3—44no—
1090C22×D3—44no—
1091C22×D3—44no—
1092C22×D3—44no—
1093C22×D3—44no—
1094C22×D3—44no—
1095C22×D3—44no—
1096C22×D3—44no—
1097C22×D3—44no—
1098C22×D3—82no—
1099C22×D3—82no—
1100C22×D3—82no—
1101C22×D3—82no—
1102C22×D3—82no—
1103C22×D3—82no—
1104C22×D3—82no—
1105C22×D3—82no—
1106C22×D3C22×D412yes—
1107C22×D3C2×#4112yes—
1108C22×D3C2×#4112yes—
1109C22×D3H(5,𝔽2)12yes—
1110C22×D3H(5,𝔽2)12yes—
1111C3×D4—44no—
1112C2×C3×C4—21no—
1113C2×C3×C4—21no—
1114C2×C3×C4—21no—
1115C2×C3×C4—21no—
1116C2×C3×C4—21no—
1117C2×C3×C4—21no—
1118C2×C3×C4—21no—
1119C2×C3×C4—21no—
1120C2×C3×C4—21no—
1121C2×C3×C4—21no—
1122C2×C3×C4—21no—
1123C2×C3×C4—21no—
1124C2×C3×C4—21no—
1125C2×C3×C4—21no—
1126C2×C3×C4—21no—
1127C2×C3×C4—21no—
1128C2×C3×C4—21no—
1129C2×C3×C4—21no—
1130C2×C3×C4—21no—
1131C2×C3×C4—21no—
1132C2×C3×C4—21no—
1133C2×C3×C4—21no—
1134C2×C3×C4—21no—
1135C2×C3×C4—21no—
1136C2×C3×C4—21no—
1137C2×C3×C4—21no—
1138C2×C3×C4—21no—
1139C2×C3×C4—21no—
1140C2×C3×C4—21no—
1141C2×C3×C4—21no—
1142C2×C3×C4—21no—
1143C2×C3×C4—21no—
1144C2×C3×C4—21no—
1145C2×C3×C4—21no—
1146C2×C3×C4—21no—
1147C2×C3×C4—21no—
1148C2×C3×C4—44no—
1149C2×C3×C4—44no—
1150C2×C3×C4C22×D412yes—
1151C2×C3×C4C22×D412yes—
1152C2×C3×C4C2×#4112yes—
1153#67—44no—
1154#67—44no—
1155#67—44no—
1156#67—82no—
1157#67—82no—
1158#67—82no—
1159C2×Dic3—21no—
1160C2×Dic3—21no—
1161C2×Dic3—21no—
1162C2×Dic3—21no—
1163C2×Dic3—21no—
1164C2×Dic3—21no—
1165C2×Dic3—21no—
1166C2×Dic3—21no—
1167C2×Dic3—21no—
1168C2×Dic3—21no—
1169C2×Dic3—21no—
1170C2×Dic3—21no—
1171C2×Dic3—21no—
1172C2×Dic3—21no—
1173C2×Dic3—21no—
1174C2×Dic3—21no—
1175C2×Dic3—21no—
1176C2×Dic3—21no—
1177C2×Dic3—21no—
1178C2×Dic3—21no—
1179C2×Dic3—21no—
1180C2×Dic3—21no—
1181C2×Dic3—21no—
1182C2×Dic3—21no—
1183C2×Dic3—21no—
1184C2×Dic3—21no—
1185C2×Dic3—21no—
1186C2×Dic3—44no—
1187C2×Dic3C22×D412yes—
1188C2×Dic3C22×D412yes—
1189C2×Dic3C22×D412yes—
1190D12—28no—
1191D12—44no—
1192D12—44no—
1193D12—44no—
1194D12—44no—
1195D12—44no—
1196D12—44no—
1197D12—44no—
1198D12—82no—
1199D12—82no—
1200D12—82no—
1201D12—82no—
1202C4×D3—44no—
1203C4×D3—44no—
1204C4×D3—44no—
1205C4×D3—44no—
1206C4×D3—44no—
1207C4×D3—44no—
1208C4×D3—44no—
1209C4×D3—82no—
1210C4×D3—82no—
1211C4×D3—82no—
1212Dic6—82no—
1213C24—31no—
1214C24—31no—
1215C24—31no—
1216C24—31no—
1217C24—31no—
1218C24—31no—
1219C24—62no—
1220C24—62no—
1221C24—62no—
1222C24—62no—
1223C24—62no—
1224C24—62no—
1225C24—62no—
1226C24—62no—
1227C24—62no—
1228C24—62no—
1229C24—62no—
1230C24—121no—
1231C24—121no—
1232C24—121no—
1233C24—121no—
1234C24—121no—
1235C24—121no—
1236C24—121no—
1237C24—121no—
1238C24—121no—
1239C24—121no—
1240C24C23×D311yescharacteristic
1241C24C23×D311yescharacteristic
1242C2×Q8—62no—
1243C2×Q8—121no—
1244C2×Q8—121no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—34no—
1248C2×D4—34no—
1249C2×D4—41no—
1250C2×D4—62no—
1251C2×D4—62no—
1252C2×D4—62no—
1253C2×D4—62no—
1254C2×D4—62no—
1255C2×D4—62no—
1256C2×D4—62no—
1257C2×D4—62no—
1258C2×D4—62no—
1259C2×D4—62no—
1260C2×D4—62no—
1261C2×D4—62no—
1262C2×D4—62no—
1263C2×D4—62no—
1264C2×D4—62no—
1265C2×D4—62no—
1266C2×D4—62no—
1267C2×D4—62no—
1268C2×D4—62no—
1269C2×D4—62no—
1270C2×D4—62no—
1271C2×D4—62no—
1272C2×D4—62no—
1273C2×D4—62no—
1274C2×D4—62no—
1275C2×D4—121no—
1276C2×D4—121no—
1277C2×D4—121no—
1278C2×D4—121no—
1279C2×D4—121no—
1280C2×D4—121no—
1281C2×D4—121no—
1282C2×D4—121no—
1283C2×D4—121no—
1284C2×D4—121no—
1285C2×D4—121no—
1286C2×D4—121no—
1287C2×D4—121no—
1288C2×D4—121no—
1289C2×D4—121no—
1290C2×D4—121no—
1291C2×D4—121no—
1292C2×D4—1216no—
1293C2×D4—121no—
1294C2×D4—121no—
1295C2×D4—121no—
1296C2×D4—121no—
1297C2×D4—121no—
1298C2×D4—121no—
1299C2×D4—121no—
1300C2×D4—121no—
1301C2×D4—121no—
1302C2×D4—121no—
1303C2×D4—1216no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—31no—
1308C22×C4—31no—
1309C22×C4—31no—
1310C22×C4—34no—
1311C22×C4—31no—
1312C22×C4—31no—
1313C22×C4—31no—
1314C22×C4—31no—
1315C22×C4—31no—
1316C22×C4—31no—
1317C22×C4—31no—
1318C22×C4—41no—
1319C22×C4—41no—
1320C22×C4—41no—
1321C22×C4—62no—
1322C22×C4—62no—
1323C22×C4—62no—
1324C22×C4—62no—
1325C22×C4—62no—
1326C22×C4—62no—
1327C22×C4—62no—
1328C22×C4—62no—
1329C22×C4—62no—
1330C22×C4—62no—
1331C22×C4—62no—
1332C22×C4—62no—
1333C22×C4—62no—
1334C22×C4—62no—
1335C22×C4—62no—
1336C22×C4—62no—
1337C22×C4—121no—
1338C22×C4—121no—
1339C22×C4—121no—
1340C22×C4—121no—
1341C22×C4—121no—
1342C22×C4—121no—
1343C22×C4—121no—
1344C22×C4—121no—
1345C22×C4—121no—
1346C22×C4—121no—
1347C22×C4—121no—
1348C22×C4—121no—
1349C22×C4—121no—
1350C22×C4—121no—
1351C22×C4—121no—
1352C22×C4—1216no—
1353C22×C4—121no—
1354C22×C4C23×D311yescharacteristic
1355C22×C4C23×D311yescharacteristic
1356C22×C4C23×D311yescharacteristic
1357C22×C4C23×D311yescharacteristic
1358C22×C4C23×D311yescharacteristic
1359C22×C4C23×D311yescharacteristic
1360C22×C4C23×D311yescharacteristic
1361C22×C4C23×D311yescharacteristic
1362C22×C4C23×D311yescharacteristic
1363C22×C4C23×D311yescharacteristic
1364C22×C4C23×D311yescharacteristic
1365C22×C4C23×D311yescharacteristic
1366C22×C4C23×D311yescharacteristic
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—34no—
1374C4⋊C4—34no—
1375C4⋊C4—41no—
1376C4⋊C4—41no—
1377C4⋊C4—41no—
1378C4⋊C4—41no—
1379C4⋊C4—41no—
1380C4⋊C4—62no—
1381C4⋊C4—62no—
1382C4⋊C4—62no—
1383C4⋊C4—62no—
1384C4⋊C4—62no—
1385C4⋊C4—121no—
1386C4⋊C4—121no—
1387C4⋊C4—121no—
1388C4⋊C4—121no—
1389C4⋊C4—121no—
1390C4⋊C4—121no—
1391C22⋊C4—22no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—22no—
1396C22⋊C4—22no—
1397C22⋊C4—34no—
1398C22⋊C4—34no—
1399C22⋊C4—41no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—62no—
1403C22⋊C4—62no—
1404C22⋊C4—62no—
1405C22⋊C4—62no—
1406C22⋊C4—62no—
1407C22⋊C4—62no—
1408C22⋊C4—62no—
1409C22⋊C4—62no—
1410C22⋊C4—62no—
1411C22⋊C4—62no—
1412C22⋊C4—62no—
1413C22⋊C4—62no—
1414C22⋊C4—62no—
1415C22⋊C4—62no—
1416C22⋊C4—62no—
1417C22⋊C4—62no—
1418C22⋊C4—62no—
1419C22⋊C4—62no—
1420C22⋊C4—62no—
1421C22⋊C4—62no—
1422C22⋊C4—62no—
1423C22⋊C4—62no—
1424C22⋊C4—62no—
1425C22⋊C4—62no—
1426C22⋊C4—121no—
1427C22⋊C4—121no—
1428C22⋊C4—121no—
1429C22⋊C4—121no—
1430C22⋊C4—121no—
1431C22⋊C4—121no—
1432C22⋊C4—121no—
1433C22⋊C4—121no—
1434C22⋊C4—121no—
1435C22⋊C4—121no—
1436C22⋊C4—121no—
1437C22⋊C4—121no—
1438C22⋊C4—121no—
1439C22⋊C4—121no—
1440C22⋊C4—121no—
1441C22⋊C4—121no—
1442C22⋊C4—121no—
1443C22⋊C4—121no—
1444C22⋊C4—121no—
1445C22⋊C4—121no—
1446C22⋊C4—121no—
1447C22⋊C4—121no—
1448C22⋊C4—121no—
1449C22⋊C4—121no—
1450C22⋊C4D3×D414yes—
1451C42—22no—
1452C42—62no—
1453C42—121no—
1454C42—121no—
1455C42—121no—
1456C42—121no—
1457C42—121no—
1458C22×C3—22no—
1459C22×C3—22no—
1460C22×C3—22no—
1461C22×C3—22no—
1462C22×C3—22no—
1463C22×C3—22no—
1464C22×C3—41no—
1465C22×C3—41no—
1466C22×C3—41no—
1467C22×C3—41no—
1468C22×C3—41no—
1469C22×C3—41no—
1470C22×C3—41no—
1471C22×C3—41no—
1472C22×C3C23×D411yescharacteristic
1473C22×C3C22×#4111yescharacteristic
1474C22×C3C2×H(5,𝔽2)11yescharacteristic
1475C22×C3C2×H(5,𝔽2)11yescharacteristic
1476C22×C3C2×H(5,𝔽2)11yescharacteristic
1477C22×C3#58511yescharacteristic
1478C22×C3#58511yescharacteristic
1479C2×D3—22no—
1480C2×D3—22no—
1481C2×D3—22no—
1482C2×D3—22no—
1483C2×D3—22no—
1484C2×D3—22no—
1485C2×D3—22no—
1486C2×D3—22no—
1487C2×D3—22no—
1488C2×D3—22no—
1489C2×D3—22no—
1490C2×D3—22no—
1491C2×D3—416no—
1492C2×D3—41no—
1493C2×D3—41no—
1494C2×D3—41no—
1495C2×D3—41no—
1496C2×D3—41no—
1497C2×D3—41no—
1498C2×D3—41no—
1499C2×D3—41no—
1500C2×D3—41no—
1501C2×D3—41no—
1502C2×D3—41no—
1503C2×D3—41no—
1504C2×D3—41no—
1505C2×D3—41no—
1506C2×D3—41no—
1507C2×D3—41no—
1508C2×D3—41no—
1509C2×D3—41no—
1510C2×D3—41no—
1511C2×D3—41no—
1512C2×D3—41no—
1513C2×D3—41no—
1514C2×D3—41no—
1515C2×D3—41no—
1516C2×D3—41no—
1517C2×D3—41no—
1518C2×D3—41no—
1519C2×D3—41no—
1520C2×D3—41no—
1521C2×D3—88no—
1522C2×D3—88no—
1523C2×D3#53814yescomplemented
1524C3×C4—22no—
1525C3×C4—22no—
1526C3×C4—22no—
1527C3×C4—41no—
1528C3×C4—41no—
1529C3×C4—41no—
1530C3×C4—41no—
1531C3×C4—41no—
1532C3×C4—41no—
1533C3×C4—41no—
1534C3×C4—41no—
1535C3×C4—41no—
1536C3×C4—41no—
1537Dic3—22no—
1538Dic3—22no—
1539Dic3—22no—
1540Dic3—41no—
1541Dic3—41no—
1542Dic3—41no—
1543Dic3—41no—
1544Dic3—41no—
1545Dic3—41no—
1546Dic3—41no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—32no—
1560C23—32no—
1561C23—32no—
1562C23—32no—
1563C23—32no—
1564C23—68no—
1565C23—61no—
1566C23—61no—
1567C23—61no—
1568C23—61no—
1569C23—61no—
1570C23—61no—
1571C23—61no—
1572C23—61no—
1573C23—61no—
1574C23—61no—
1575C23—61no—
1576C23—61no—
1577C23—61no—
1578C23—61no—
1579C23—61no—
1580C23—61no—
1581C23—61no—
1582C23—61no—
1583C23—61no—
1584C23—61no—
1585C23—61no—
1586C23—61no—
1587C23—61no—
1588C23—61no—
1589C23—61no—
1590C23—61no—
1591C23—61no—
1592C23—61no—
1593C23—61no—
1594C23—61no—
1595C23—61no—
1596C23—61no—
1597C23—61no—
1598C23—61no—
1599C23—61no—
1600C23—61no—
1601C23—61no—
1602C23—124no—
1603C23—124no—
1604C23—124no—
1605C23—124no—
1606C23—124no—
1607C23—124no—
1608C23—124no—
1609C23—124no—
1610C23—124no—
1611C23—124no—
1612C23—124no—
1613C23—124no—
1614C23—242no—
1615C23—242no—
1616C23—242no—
1617C23—242no—
1618C23—242no—
1619C23—242no—
1620C23—242no—
1621C23—242no—
1622C23C2×D3×D412yes—
1623C23#100912yes—
1624C23C24×D311yescharacteristic
1625Q8—242no—
1626D4—44no—
1627D4—68no—
1628D4—124no—
1629D4—124no—
1630D4—124no—
1631D4—124no—
1632D4—124no—
1633D4—124no—
1634D4—124no—
1635D4—124no—
1636D4—124no—
1637D4—124no—
1638D4—242no—
1639D4—242no—
1640D4—242no—
1641D4—242no—
1642D4—242no—
1643D4—242no—
1644D4—242no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—32no—
1682C2×C4—32no—
1683C2×C4—32no—
1684C2×C4—44no—
1685C2×C4—44no—
1686C2×C4—61no—
1687C2×C4—61no—
1688C2×C4—61no—
1689C2×C4—61no—
1690C2×C4—61no—
1691C2×C4—61no—
1692C2×C4—61no—
1693C2×C4—61no—
1694C2×C4—61no—
1695C2×C4—61no—
1696C2×C4—61no—
1697C2×C4—61no—
1698C2×C4—61no—
1699C2×C4—61no—
1700C2×C4—61no—
1701C2×C4—61no—
1702C2×C4—61no—
1703C2×C4—61no—
1704C2×C4—61no—
1705C2×C4—61no—
1706C2×C4—61no—
1707C2×C4—61no—
1708C2×C4—61no—
1709C2×C4—61no—
1710C2×C4—61no—
1711C2×C4—61no—
1712C2×C4—61no—
1713C2×C4—124no—
1714C2×C4—124no—
1715C2×C4—124no—
1716C2×C4—124no—
1717C2×C4—124no—
1718C2×C4—124no—
1719C2×C4—124no—
1720C2×C4—124no—
1721C2×C4—242no—
1722C2×C4—242no—
1723C2×C4—242no—
1724C2×C4C2×D3×D412yes—
1725C2×C4C2×D3×D412yes—
1726C2×C4D3×#4112yes—
1727C2×C3—42no—
1728C2×C3—42no—
1729C2×C3C2×#53811yescharacteristic
1730C2×C3D4×#4111yescharacteristic
1731C2×C3#348411yescharacteristic
1732C2×C3#348811yescharacteristic
1733C2×C3#351311yescharacteristic
1734C2×C3#353311yescharacteristic
1735C2×C3#353411yescharacteristic
1736D3—24no—
1737D3—42no—
1738D3—42no—
1739D3—81no—
1740D3—81no—
1741D3—81no—
1742C22—22no—
1743C22—22no—
1744C22—22no—
1745C22—22no—
1746C22—22no—
1747C22—22no—
1748C22—34no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—62no—
1758C22—62no—
1759C22—62no—
1760C22—62no—
1761C22—62no—
1762C22—62no—
1763C22—62no—
1764C22—62no—
1765C22—62no—
1766C22—62no—
1767C22—62no—
1768C22—62no—
1769C22—1216no—
1770C22—121no—
1771C22—121no—
1772C22—121no—
1773C22—121no—
1774C22—121no—
1775C22—121no—
1776C22—121no—
1777C22—121no—
1778C22—121no—
1779C22—121no—
1780C22—121no—
1781C22—121no—
1782C22—121no—
1783C22—121no—
1784C22—121no—
1785C22—121no—
1786C22—121no—
1787C22—121no—
1788C22—121no—
1789C22—121no—
1790C22—121no—
1791C22—121no—
1792C22—121no—
1793C22—121no—
1794C22—121no—
1795C22—121no—
1796C22—121no—
1797C22—121no—
1798C22—121no—
1799C22—248no—
1800C22—248no—
1801C22C22×D3×D411yescharacteristic
1802C22C2×D3×#4111yescharacteristic
1803C22C2×#100911yescharacteristic
1804C22D3×H(5,𝔽2)11yescharacteristic
1805C22D3×H(5,𝔽2)11yescharacteristic
1806C22#596811yescharacteristic
1807C22#596811yescharacteristic
1808C4—22no—
1809C4—22no—
1810C4—22no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—41no—
1817C4—41no—
1818C4—41no—
1819C4—41no—
1820C4—41no—
1821C4—62no—
1822C4—62no—
1823C4—62no—
1824C4—121no—
1825C4—121no—
1826C4—121no—
1827C4—121no—
1828C4—121no—
1829C4—121no—
1830C4—121no—
1831C3#3771311yescharacteristic, complemented, Sylow
1832C2—42no—
1833C2—42no—
1834C2—64no—
1835C2—122no—
1836C2—122no—
1837C2—241no—
1838C2—241no—
1839C2—241no—
1840C2#8637911yescharacteristic
1841C2D3×#53811yescharacteristic
1842C2#8645811yescharacteristic
1843C2#8666211yescharacteristic
1844C2#8667411yescharacteristic
1845C2#8683411yescharacteristic
1846C2#8712811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2695C2
hypercenter#2695D3
hypocenterC3#37713
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2695

Complements

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

NH ≅ G/Ntype
1. C2×#5704C2semidirect
2. C2×D3×#123C2semidirect
3. C3×#2695C2semidirect
4. #83081C2semidirect
5. #82907C2semidirect
6. #78241C2semidirect
7. #78144C2semidirect
8. #77951C2semidirect
9. #77838C2semidirect
10. #77821C2semidirect
11. #77742C2semidirect
12. #77696C2semidirect
13. #77474C2semidirect
14. #77416C2semidirect
15. #77316C2semidirect
16. #77111C2semidirect
17. #76895C2semidirect
18. #76268C2semidirect
19. #76206C2semidirect
20. #75526C2semidirect
21. #75503C2semidirect
22. #74884C2semidirect
23. #74758C2semidirect
24. #74601C2semidirect
25. #74511C2semidirect
26. #74390C2semidirect
27. #74379C2semidirect
28. #74048C2semidirect
29. #74042C2semidirect
30. #74007C2semidirect
31. #73964C2semidirect
35. C23×C4×D3C22semidirect
36. C2×C3×#126C22semidirect
40. C2×#930C22semidirect
41. C2×#929C22semidirect
44. C2×#898C22semidirect
45. C2×#896C22semidirect
46. C2×#896C22semidirect
49. C2×#895C22semidirect
50. C2×#895C22semidirect
51. C2×#894C22semidirect
52. C2×#894C22semidirect
53. C2×#894C22semidirect
56. C2×#893C22semidirect
57. C2×#893C22semidirect
58. C2×D3×C4⋊C4C22semidirect
59. C2×D3×C4⋊C4C22semidirect
60. C2×#886C22semidirect
61. C2×#885C22semidirect
63. C2×#884C22semidirect
70. C2×#882C22semidirect
71. C2×#882C22semidirect
72. C2×#67⋊C4C22semidirect
75. C2×D3×C22⋊C4C22semidirect
76. C2×D3×C22⋊C4C22semidirect
77. C2×#875C22semidirect
78. C2×C4×D12C22semidirect
79. C3×#400C22semidirect
80. C3×#398C22semidirect
81. C3×#398C22semidirect
82. C3×#397C22semidirect
83. C3×#396C22semidirect
85. C3×#389C22semidirect
86. C3×#388C22semidirect
88. C3×#385C22semidirect
89. C3×#385C22semidirect
90. C3×#380C22semidirect
91. C3×#380C22semidirect
94. #5213C22semidirect
95. #5213C22semidirect
96. C4×#217C22semidirect
97. #4994C22semidirect
98. #4994C22semidirect
99. #4994C22semidirect
100. #4993C22semidirect
101. #4992C22semidirect
102. #4992C22semidirect
103. #4991C22semidirect
104. #4991C22semidirect
105. #4991C22semidirect
106. #4991C22semidirect
107. #4991C22semidirect
108. #4991C22semidirect
109. #4990C22semidirect
110. #4990C22semidirect
111. #4989C22semidirect
112. #4989C22semidirect
113. #4989C22semidirect
114. #4989C22semidirect
115. #4989C22semidirect
116. #4988C22semidirect
117. #4988C22semidirect
118. #4988C22semidirect
119. #4988C22semidirect
120. #4987C22semidirect
121. #4987C22semidirect
122. #4982C22semidirect
123. #4978C22semidirect
124. Dic3×C4⋊C4C22semidirect
127. #4960C22semidirect
128. #4959C22semidirect
129. #4959C22semidirect
130. #4958C22semidirect
131. #4958C22semidirect
133. #4957C22semidirect
134. #4957C22semidirect
135. #4957C22semidirect
136. #4956C22semidirect
139. #4955C22semidirect
140. #4955C22semidirect
141. #4955C22semidirect
142. #4952C22semidirect
143. #4952C22semidirect
144. #4951C22semidirect
145. #4947C22semidirect
146. #4945C22semidirect
147. Dic3×C22⋊C4C22semidirect
148. #4940C22semidirect
149. C4×(C2×D3)⋊C4C22semidirect
150. #4676C22semidirect
151. #4675C22semidirect
152. #4675C22semidirect
153. #4673C22semidirect
154. #4672C22semidirect
155. #4672C22semidirect
158. #4671C22semidirect
159. #4671C22semidirect
160. #4671C22semidirect
161. #4670C22semidirect
162. #4669C22semidirect
163. #4669C22semidirect
164. #4669C22semidirect
165. #4669C22semidirect
166. #4669C22semidirect
167. #4668C22semidirect
168. #4667C22semidirect
169. #4667C22semidirect
170. #4666C22semidirect
171. #4666C22semidirect
178. #4665C22semidirect
179. #4665C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. #4665C22semidirect
183. #4665C22semidirect
184. #4665C22semidirect
185. #4658C22semidirect
186. #4653C22semidirect
187. #4652C22semidirect
188. #4647C22semidirect
189. #4646C22semidirect
198. #2695D3semidirect
384. #883D4semidirect
431. C2×#126C2×D3semidirect
473. #400C2×D3semidirect
476. #398C2×D3semidirect
477. #398C2×D3semidirect
484. #397C2×D3semidirect
489. #396C2×D3semidirect
522. #389C2×D3semidirect
534. #388C2×D3semidirect
564. #385C2×D3semidirect
565. #385C2×D3semidirect
570. #380C2×D3semidirect
571. #380C2×D3semidirect
733. C2×C4×D3C2×D4semidirect
808. (C2×D3)⋊C4C2×D4semidirect
811. C4⋊Dic3C2×D4semidirect
821. Dic3⋊C4C2×D4semidirect
1523. C2×D3#538semidirect
1831. C3#37713semidirect

Maximal subgroups

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

subgroupindex
C2×#57042
C2×D3×#1232
C3×#26952
#830812
#829072
#782412
#781442
#779512
#778382
#778212
#777422
#776962
#774742
#774162
#773162
#771112
#768952
#762682
#762062
#755262
#755032
#748842
#747582
#746012
#745112
#743902
#743792
#740482
#740422
#740072
#739642
#377133