Finite Group Databasebeta

← #11024888

Subgroups — #11024888

Order 768.

3176 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×#5613C211yesmaximal, characteristic, complemented
2C2×D3×#121C211yesmaximal, characteristic, complemented
3C3×#2688C211yesmaximal, characteristic, complemented
4#82702C211yesmaximal, characteristic, complemented
5#82689C211yesmaximal, characteristic, complemented
6#78361C211yesmaximal, characteristic, complemented
7#78144C211yesmaximal, characteristic, complemented
8#77684C211yesmaximal, characteristic, complemented
9#77674C211yesmaximal, characteristic, complemented
10#77483C211yesmaximal, characteristic, complemented
11#77474C211yesmaximal, characteristic, complemented
12#77114C211yesmaximal, characteristic, complemented
13#76926C211yesmaximal, characteristic, complemented
14#76753C211yesmaximal, characteristic, complemented
15#76753C211yesmaximal, characteristic, complemented
16#76722C211yesmaximal, characteristic, complemented
17#76714C211yesmaximal, characteristic, complemented
18#74894C211yesmaximal, characteristic, complemented
19#74888C211yesmaximal, characteristic, complemented
20#74878C211yesmaximal, characteristic, complemented
21#74878C211yesmaximal, characteristic, complemented
22#74877C211yesmaximal, characteristic, complemented
23D3×#386C211yesmaximal, characteristic, complemented
24#74823C211yesmaximal, characteristic, complemented
25#74814C211yesmaximal, characteristic, complemented
26#74793C211yesmaximal, characteristic, complemented
27#74690C211yesmaximal, characteristic, complemented
28#74655C211yesmaximal, characteristic, complemented
29#74530C211yesmaximal, characteristic, complemented
30#74128C211yesmaximal, characteristic, complemented
31#74126C211yesmaximal, characteristic, complemented
32#37693—31nomaximal, Sylow
33C22×D3×D4C2211yescharacteristic
34C22×D3×D4C2211yescharacteristic
35C22×D3×D4C2211yescharacteristic
36C22×D3×D4C2211yescharacteristic, complemented
37C23×C4×D3C2211yescharacteristic
38C2×C3×#121C2211yescharacteristic, complemented
39C2×C3×#121C2211yescharacteristic, complemented
40C2×#939C2211yescharacteristic, complemented
41C2×#939C2211yescharacteristic, complemented
42C2×#939C2211yescharacteristic, complemented
43C2×#939C2211yescharacteristic, complemented
44C2×#938C2211yescharacteristic
45C2×#937C2211yescharacteristic
46C2×#937C2211yescharacteristic
47C2×#937C2211yescharacteristic, complemented
48C2×#937C2211yescharacteristic, complemented
49C2×#936C2211yescharacteristic, complemented
50C2×#935C2211yescharacteristic, complemented
51C2×#930C2211yescharacteristic, complemented
52C2×#930C2211yescharacteristic, complemented
53C2×#929C2211yescharacteristic, complemented
54C2×C4×#67C2211yescharacteristic, complemented
55C2×C4×#67C2211yescharacteristic, complemented
56C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
57C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
58#5613—28no—
59D3×#121—28no—
60C2×#898C2211yescharacteristic, complemented
61C2×#896C2211yescharacteristic, complemented
62C2×#896C2211yescharacteristic, complemented
63C2×#895C2211yescharacteristic
64C2×D3×C4⋊C4C2211yescharacteristic, complemented
65C2×#885C2211yescharacteristic, complemented
66C2×#884C2211yescharacteristic
67C2×#884C2211yescharacteristic
68C2×#882C2211yescharacteristic
69C2×#882C2211yescharacteristic
70C2×#882C2211yescharacteristic, complemented
71C2×#882C2211yescharacteristic, complemented
72C2×#67⋊C4C2211yescharacteristic, complemented
73C2×#67⋊C4C2211yescharacteristic, complemented
74C2×D3×C22⋊C4C2211yescharacteristic
75C2×D3×C22⋊C4C2211yescharacteristic, complemented
76C2×D3×C22⋊C4C2211yescharacteristic, complemented
77C2×D3×C22⋊C4C2211yescharacteristic, complemented
78C2×D3×C22⋊C4C2211yescharacteristic, complemented
79C2×#879C2211yescharacteristic, complemented
80C2×#878C2211yescharacteristic, complemented
81C3×#400C2211yescharacteristic, complemented
82C3×#397C2211yescharacteristic, complemented
83C3×#397C2211yescharacteristic, complemented
84C3×#394C2211yescharacteristic, complemented
85C3×#392C2211yescharacteristic, complemented
86C3×#392C2211yescharacteristic, complemented
87C3×#386C2211yescharacteristic, complemented
88C3×#386C2211yescharacteristic, complemented
89C3×#386C2211yescharacteristic, complemented
90C3×#386C2211yescharacteristic, complemented
91C3×#386C2211yescharacteristic, complemented
92C3×#385C2211yescharacteristic, complemented
93C3×#381C2211yescharacteristic, complemented
94#5223C2211yescharacteristic, complemented
95#5223C2211yescharacteristic, complemented
96#5223C2211yescharacteristic, complemented
97#5223C2211yescharacteristic, complemented
98#5223C2211yescharacteristic, complemented
99#5220C2211yescharacteristic, complemented
100#5220C2211yescharacteristic, complemented
101#5220C2211yescharacteristic, complemented
102#5220C2211yescharacteristic, complemented
103#5213C2211yescharacteristic, complemented
104#5213C2211yescharacteristic, complemented
105#5210C2211yescharacteristic, complemented
106#5210C2211yescharacteristic, complemented
107#4992C2211yescharacteristic, complemented
108#4991C2211yescharacteristic, complemented
109#4990C2211yescharacteristic, complemented
110#4989C2211yescharacteristic, complemented
111#4989C2211yescharacteristic, complemented
112#4988C2211yescharacteristic, complemented
113#4985C2211yescharacteristic, complemented
114#4961C2211yescharacteristic, complemented
115#4960C2211yescharacteristic, complemented
116#4960C2211yescharacteristic, complemented
117#4960C2211yescharacteristic, complemented
118#4960C2211yescharacteristic, complemented
119#4959C2211yescharacteristic, complemented
120#4959C2211yescharacteristic, complemented
121#4959C2211yescharacteristic, complemented
122#4959C2211yescharacteristic, complemented
123#4959C2211yescharacteristic, complemented
124#4958C2211yescharacteristic, complemented
125#4958C2211yescharacteristic, complemented
126#4958C2211yescharacteristic, complemented
127#4957C2211yescharacteristic, complemented
128#4957C2211yescharacteristic, complemented
129#4957C2211yescharacteristic, complemented
130#4957C2211yescharacteristic, complemented
131#4957C2211yescharacteristic, complemented
132#4956C2211yescharacteristic
133#4956C2211yescharacteristic
134#4956C2211yescharacteristic
135#4956C2211yescharacteristic
136#4956C2211yescharacteristic, complemented
137#4956C2211yescharacteristic, complemented
138#4955C2211yescharacteristic
139#4955C2211yescharacteristic
140#4955C2211yescharacteristic, complemented
141#4955C2211yescharacteristic, complemented
142#4952C2211yescharacteristic, complemented
143#4948C2211yescharacteristic, complemented
144#4946C2211yescharacteristic, complemented
145#4945C2211yescharacteristic, complemented
146#4944C2211yescharacteristic, complemented
147#4944C2211yescharacteristic, complemented
148#4943C2211yescharacteristic, complemented
149#4942C2211yescharacteristic, complemented
150#4676C2211yescharacteristic, complemented
151#4675C2211yescharacteristic, complemented
152#4675C2211yescharacteristic, complemented
153#4675C2211yescharacteristic, complemented
154#4675C2211yescharacteristic, complemented
155#4673C2211yescharacteristic, complemented
156#4673C2211yescharacteristic, complemented
157#4672C2211yescharacteristic, complemented
158#4672C2211yescharacteristic, complemented
159#4672C2211yescharacteristic, complemented
160#4672C2211yescharacteristic, complemented
161#4671C2211yescharacteristic, complemented
162#4669C2211yescharacteristic, complemented
163#4669C2211yescharacteristic, complemented
164#4668C2211yescharacteristic, complemented
165#4668C2211yescharacteristic, complemented
166#4667C2211yescharacteristic, complemented
167#4667C2211yescharacteristic, complemented
168#4667C2211yescharacteristic, complemented
169#4667C2211yescharacteristic, complemented
170#4666C2211yescharacteristic, complemented
171#4666C2211yescharacteristic, complemented
172#4665C2211yescharacteristic
173#4665C2211yescharacteristic
174#4665C2211yescharacteristic
175#4665C2211yescharacteristic
176#4665C2211yescharacteristic, complemented
177#4665C2211yescharacteristic, complemented
178#4665C2211yescharacteristic, complemented
179#4665C2211yescharacteristic, complemented
180#4665C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182D3×#95C2211yescharacteristic, complemented
183D3×#95C2211yescharacteristic, complemented
184#4658C2211yescharacteristic, complemented
185#4658C2211yescharacteristic, complemented
186#4654C2211yescharacteristic, complemented
187#4654C2211yescharacteristic, complemented
188#4653C2211yescharacteristic, complemented
189#4652C2211yescharacteristic, complemented
190C2×#538—31no—
191C22×#121—31no—
192#2848—31no—
193#2714—31no—
194#2714—31no—
195#2703—31no—
196#2703—31no—
197#2688—31no—
198#2688D311yescharacteristic, complemented
199#2676—31no—
200#2676—31no—
201#2639—31no—
202#2617—31no—
203#2481—31no—
204#2481—31no—
205#2472—31no—
206#2472—31no—
207#2444—31no—
208#2444—31no—
209#2424—31no—
210#2424—31no—
211#2412—31no—
212#2412—31no—
213#2410—31no—
214#2410—31no—
215#2403—31no—
216#2403—31no—
217D4×C22⋊C4—31no—
218D4×C22⋊C4—31no—
219#2325—31no—
220C2×#386—31no—
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C24×D3C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C23×C3×C4C2311yescharacteristic
233C23×C3×C4C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C23×Dic3C2311yescharacteristic
247C23×Dic3C2311yescharacteristic
248C23×Dic3C2311yescharacteristic
249C2×D3×D4—24no—
250C2×D3×D4—24no—
251C2×D3×D4—24no—
252C2×D3×D4—24no—
253C2×D3×D4—24no—
254C2×D3×D4—24no—
255C2×D3×D4—42no—
256C2×D3×D4—42no—
257C2×D3×D4—42no—
258C2×D3×D4—42no—
259C2×D3×D4—42no—
260C2×D3×D4—42no—
261C22×D12C2311yescharacteristic
262C22×D12C2311yescharacteristic
263C22×D12C2311yescharacteristic
264C22×D12C2311yescharacteristic
265C22×D12C2311yescharacteristic
266C22×D12C2311yescharacteristic
267C22×C4×D3—24no—
268C22×C4×D3—42no—
269C22×C4×D3—42no—
270C22×C4×D3C2311yescharacteristic
271C22×C4×D3C2311yescharacteristic
272C22×C4×D3C2311yescharacteristic
273C22×C4×D3C2311yescharacteristic
274C22×C4×D3C2311yescharacteristic
275C22×C4×D3C2311yescharacteristic
276C22×C4×D3C2311yescharacteristic
277C22×C4×D3C2311yescharacteristic
278C22×C4×D3C2311yescharacteristic
279C22×Dic6C2311yescharacteristic
280C3×#121—24no—
281C3×#121—24no—
282C2×C3×C4⋊C4C2311yescharacteristic
283C2×C3×C4⋊C4C2311yescharacteristic
284C2×C3×C4⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×C3×C22⋊C4C2311yescharacteristic
295C2×C3×C22⋊C4C2311yescharacteristic
296C2×C3×C22⋊C4C2311yescharacteristic
297C2×C3×C22⋊C4C2311yescharacteristic
298C2×#217C2311yescharacteristic
299C2×#217C2311yescharacteristic
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311#939—24no—
312#939—24no—
313#939—24no—
314#939—42no—
315#938D418yescomplemented
316#937—24no—
317#937—24no—
318#937—42no—
319#937—42no—
320#936—24no—
321#935—24no—
322#930—24no—
323#930—42no—
324#929—24no—
325C4×#67—24no—
326C4×#67—42no—
327C2×(C2×D3)⋊C4—42no—
328C2×(C2×D3)⋊C4—42no—
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×(C2×D3)⋊C4C2311yescharacteristic
351C2×(C2×D3)⋊C4C2311yescharacteristic
352C2×(C2×D3)⋊C4C2311yescharacteristic
353C2×(C2×D3)⋊C4C2311yescharacteristic
354C2×(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×C4⋊Dic3C2311yescharacteristic
364C2×C4⋊Dic3C2311yescharacteristic
365C2×Dic3⋊C4C2311yescharacteristic
366C2×Dic3⋊C4C2311yescharacteristic
367C2×Dic3⋊C4C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×Dic3⋊C4C2311yescharacteristic
374C2×Dic3⋊C4C2311yescharacteristic
375C2×Dic3⋊C4C2311yescharacteristic
376C2×Dic3⋊C4C2311yescharacteristic
377C2×C4×Dic3C2311yescharacteristic
378C2×C4×Dic3C2311yescharacteristic
379C2×C4×Dic3C2311yescharacteristic
380C2×C4×Dic3C2311yescharacteristic
381#898—24no—
382#896—24no—
383#896—42no—
384#895—24no—
385D3×C4⋊C4—24no—
386#885—24no—
387#884—24no—
388#884—24no—
389#882—42no—
390#882—42no—
391#882—42no—
392#882—42no—
393#67⋊C4—24no—
394#67⋊C4—42no—
395D3×C22⋊C4—24no—
396D3×C22⋊C4—24no—
397D3×C22⋊C4—24no—
398D3×C22⋊C4—42no—
399D3×C22⋊C4—42no—
400#879—24no—
401#878—42no—
402C3×#95C2311yescharacteristic
403C3×#95C2311yescharacteristic
404C3×#95C2311yescharacteristic
405C3×#95C2311yescharacteristic
406C3×#95C2311yescharacteristic
407C3×#95C2311yescharacteristic
408C3×#95C2311yescharacteristic
409C3×#95C2311yescharacteristic
410C3×#95C2311yescharacteristic
411C3×#95C2311yescharacteristic
412C3⋊#95C2311yescharacteristic
413C3⋊#95C2311yescharacteristic
414C3⋊#95C2311yescharacteristic
415C3⋊#95C2311yescharacteristic
416C3⋊#95C2311yescharacteristic
417C3⋊#95C2311yescharacteristic
418C3⋊#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C3⋊#95C2311yescharacteristic
427C3⋊#95C2311yescharacteristic
428C3⋊#95C2311yescharacteristic
429C3⋊#95C2311yescharacteristic
430C3⋊#95C2311yescharacteristic
431C3⋊#95C2311yescharacteristic
432C23×D4—31no—
433C23×D4—31no—
434C23×D4—31no—
435C23×D4—31no—
436C24×C4—31no—
437#538—68no—
438C2×#126—31no—
439C2×#126—31no—
440C2×#124—31no—
441C2×#124—31no—
442C2×#123—31no—
443C2×#123—31no—
444C2×C22⋊Q8—31no—
445C2×C22⋊Q8—31no—
446C2×C22⋊Q8—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121—31no—
455C2×#121—31no—
456C2×#121—31no—
457C2×#121—68no—
458C2×#121C2×D311yescharacteristic, complemented
459C2×#121C2×D311yescharacteristic, complemented
460C2×#120—31no—
461C2×#120—31no—
462C2×#120—31no—
463C2×#120—31no—
464C2×#120—31no—
465C2×#120—31no—
466C2×#120—31no—
467C2×#120—31no—
468C2×C4×D4—31no—
469C2×C4×D4—31no—
470C2×C4×D4—31no—
471C2×C4×D4—31no—
472C22×C4⋊C4—31no—
473C22×C22⋊C4—31no—
474C22×C22⋊C4—31no—
475C22×C22⋊C4—31no—
476C22×C22⋊C4—31no—
477C22×C22⋊C4—31no—
478C22×C22⋊C4—31no—
479C22×C22⋊C4—31no—
480#400—31no—
481#400—31no—
482#400—31no—
483#400C2×D311yescharacteristic, complemented
484#397—31no—
485#397—31no—
486#397—31no—
487#397—31no—
488#397—31no—
489#397—31no—
490#397C2×D311yescharacteristic, complemented
491#397C2×D311yescharacteristic, complemented
492#396—31no—
493#396—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#394C2×D311yescharacteristic, complemented
506#393—31no—
507#393—31no—
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#388—31no—
527#388—31no—
528#388—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#387—31no—
533#387—31no—
534#387—31no—
535#387—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386—31no—
557#386—31no—
558#386—31no—
559#386—31no—
560#386—31no—
561#386C2×D311yescharacteristic, complemented
562#386C2×D311yescharacteristic, complemented
563#386C2×D311yescharacteristic, complemented
564#386C2×D311yescharacteristic, complemented
565#386C2×D311yescharacteristic, complemented
566#385—31no—
567#385—31no—
568#385—31no—
569#385—31no—
570#385—31no—
571#385—31no—
572#385—31no—
573#385C2×D311yescharacteristic, complemented
574#381—31no—
575#381C2×D311yescharacteristic, complemented
576#380—31no—
577#380—31no—
578#380—31no—
579#380—31no—
580#380—31no—
581#379—31no—
582#379—31no—
583#379—31no—
584#379—31no—
585C4×C22⋊C4—31no—
586C4×C22⋊C4—31no—
587C2×#95—31no—
588C2×#95—31no—
589C24×C3C2411yescharacteristic
590C24×C3C2411yescharacteristic
591C24×C3C2411yescharacteristic
592C24×C3C2411yescharacteristic
593C23×D3—22no—
594C23×D3—22no—
595C23×D3—22no—
596C23×D3—22no—
597C23×D3—22no—
598C23×D3—22no—
599C23×D3—22no—
600C23×D3—22no—
601C23×D3—22no—
602C23×D3—22no—
603C23×D3—22no—
604C23×D3—22no—
605C23×D3—22no—
606C23×D3—22no—
607C23×D3—22no—
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×D3—41no—
617C23×D3—41no—
618C23×D3—41no—
619C23×D3—41no—
620C23×D3#4114yes—
621C23×D3C2411yescharacteristic
622C23×D3C2411yescharacteristic
623C23×D3C2411yescharacteristic
624C23×D3C2411yescharacteristic
625C23×D3C2411yescharacteristic
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—22no—
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—
640C2×C3×D4—41no—
641C2×C3×D4—41no—
642C2×C3×D4—41no—
643C2×C3×D4C2×D414yescomplemented
644C22×C3×C4—22no—
645C22×C3×C4—22no—
646C22×C3×C4—41no—
647C22×C3×C4—41no—
648C22×C3×C4—41no—
649C22×C3×C4—41no—
650C22×C3×C4—41no—
651C22×C3×C4—41no—
652C22×C3×C4—41no—
653C22×C3×C4C2411yescharacteristic
654C22×C3×C4C2411yescharacteristic
655C22×C3×C4C2411yescharacteristic
656C22×C3×C4C2411yescharacteristic
657C22×C3×C4C2411yescharacteristic
658C22×C3×C4C2411yescharacteristic
659C22×C3×C4C2411yescharacteristic
660C22×C3×C4C2411yescharacteristic
661C22×C3×C4C2411yescharacteristic
662C22×C3×C4C2411yescharacteristic
663C22×C3×C4C2411yescharacteristic
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—41no—
683C2×#67—41no—
684C2×#67—41no—
685C2×#67—41no—
686C2×#67—41no—
687C2×#67—41no—
688C2×#67—41no—
689C2×#67—41no—
690C2×#67—41no—
691C2×#67—41no—
692C2×#67—41no—
693C2×#67—41no—
694C2×#67—41no—
695C2×#67—41no—
696C2×#67—41no—
697C2×#67—41no—
698C2×#67C2×D414yes—
699C2×#67C2×D414yes—
700C22×Dic3—22no—
701C22×Dic3—22no—
702C22×Dic3—22no—
703C22×Dic3—41no—
704C22×Dic3—41no—
705C22×Dic3—41no—
706C22×Dic3—41no—
707C22×Dic3—41no—
708C22×Dic3—41no—
709C22×Dic3C2411yescharacteristic
710C22×Dic3C2411yescharacteristic
711C22×Dic3C2411yescharacteristic
712C22×Dic3C2411yescharacteristic
713C22×Dic3C2411yescharacteristic
714C22×Dic3C2411yescharacteristic
715C22×Dic3C2411yescharacteristic
716C22×Dic3C2411yescharacteristic
717C22×Dic3C2411yescharacteristic
718C22×Dic3C2411yescharacteristic
719C22×Dic3C2411yescharacteristic
720D3×D4—416no—
721D3×D4—416no—
722D3×D4—416no—
723D3×D4—416no—
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—41no—
735C2×D12—41no—
736C2×D12—41no—
737C2×D12—41no—
738C2×D12—41no—
739C2×D12—41no—
740C2×D12—41no—
741C2×D12—41no—
742C2×C4×D3—22no—
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—22no—
755C2×C4×D3—22no—
756C2×C4×D3—416no—
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×Dic6—22no—
771C2×Dic6—41no—
772C2×Dic6—41no—
773C3×C4⋊C4—22no—
774C3×C4⋊C4—22no—
775C3×C4⋊C4—41no—
776C3×C22⋊C4—22no—
777C3×C22⋊C4—22no—
778C3×C22⋊C4—22no—
779C3×C22⋊C4—22no—
780C3×C22⋊C4—41no—
781C3×C22⋊C4—41no—
782C3×C22⋊C4—41no—
783C3×C22⋊C4—41no—
784C3×C22⋊C4—41no—
785C3×C22⋊C4—41no—
786C3×C22⋊C4—41no—
787C3×C22⋊C4—41no—
788C3×C22⋊C4—41no—
789#217—22no—
790#217—22no—
791#217—22no—
792#217—22no—
793#217—22no—
794#217—41no—
795#217—41no—
796#217—41no—
797#217—41no—
798#217—41no—
799#217—41no—
800#217C2×D414yescomplemented
801#217C2×D414yescomplemented
802(C2×D3)⋊C4—22no—
803(C2×D3)⋊C4—22no—
804(C2×D3)⋊C4—22no—
805(C2×D3)⋊C4—22no—
806(C2×D3)⋊C4—22no—
807(C2×D3)⋊C4—22no—
808(C2×D3)⋊C4—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—41no—
822(C2×D3)⋊C4—41no—
823(C2×D3)⋊C4—41no—
824(C2×D3)⋊C4—41no—
825(C2×D3)⋊C4—41no—
826(C2×D3)⋊C4—41no—
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)⋊C4—41no—
836C4⋊Dic3—22no—
837C4⋊Dic3C2×D414yescomplemented
838Dic3⋊C4—22no—
839Dic3⋊C4—22no—
840Dic3⋊C4—22no—
841Dic3⋊C4—22no—
842Dic3⋊C4—22no—
843Dic3⋊C4—22no—
844Dic3⋊C4—22no—
845Dic3⋊C4—41no—
846Dic3⋊C4—41no—
847Dic3⋊C4—41no—
848Dic3⋊C4—41no—
849Dic3⋊C4—41no—
850C4×Dic3—22no—
851C4×Dic3—22no—
852C4×Dic3—41no—
853C4×Dic3—41no—
854C25—31no—
855C25—31no—
856C25—31no—
857C25—31no—
858C22×Q8—31no—
859C22×D4—31no—
860C22×D4—31no—
861C22×D4—31no—
862C22×D4—31no—
863C22×D4—31no—
864C22×D4—31no—
865C22×D4—31no—
866C22×D4—31no—
867C22×D4—31no—
868C22×D4—31no—
869C22×D4—31no—
870C22×D4—31no—
871C22×D4—31no—
872C22×D4—31no—
873C22×D4—31no—
874C22×D4—31no—
875C22×D4—31no—
876C22×D4—31no—
877C22×D4—64no—
878C22×D4—64no—
879C22×D4—64no—
880C22×D4—64no—
881C22×D4—64no—
882C22×D4—64no—
883C22×D4—122no—
884C22×D4—122no—
885C22×D4—122no—
886C22×D4—122no—
887C22×D4—122no—
888C22×D4—122no—
889C22×D4C22×D311yescharacteristic
890C22×D4C22×D311yescharacteristic
891C22×D4C22×D311yescharacteristic
892C22×D4C22×D311yescharacteristic
893C22×D4C22×D311yescharacteristic
894C22×D4C22×D311yescharacteristic
895C23×C4—31no—
896C23×C4—31no—
897C23×C4—31no—
898C23×C4—31no—
899C23×C4—31no—
900C23×C4—31no—
901C23×C4—31no—
902C23×C4—31no—
903C23×C4—31no—
904C23×C4—31no—
905C23×C4—31no—
906C23×C4—31no—
907C23×C4—64no—
908C23×C4—122no—
909C23×C4—122no—
910C23×C4C22×D311yescharacteristic
911C23×C4C22×D311yescharacteristic
912C23×C4C22×D311yescharacteristic
913#126—64no—
914#126—64no—
915#124—64no—
916#124—64no—
917#123—64no—
918#123—64no—
919C22⋊Q8—64no—
920C22⋊Q8—122no—
921C22⋊Q8—122no—
922#121—24no—
923#121—24no—
924#121—38no—
925#121—64no—
926#121—64no—
927#121—64no—
928#121—64no—
929#121—64no—
930#121—64no—
931#121—64no—
932#121—122no—
933#121—122no—
934#120—64no—
935#120—64no—
936#120—122no—
937#120—122no—
938#120—122no—
939#120—122no—
940#120—122no—
941#120—122no—
942C4×D4—64no—
943C4×D4—64no—
944C4×D4—122no—
945C4×D4—122no—
946C2×C4⋊C4—31no—
947C2×C4⋊C4—31no—
948C2×C4⋊C4—31no—
949C2×C4⋊C4—31no—
950C2×C4⋊C4—31no—
951C2×C4⋊C4—31no—
952C2×C4⋊C4—31no—
953C2×C4⋊C4—31no—
954C2×C4⋊C4—31no—
955C2×C4⋊C4—31no—
956C2×C4⋊C4—31no—
957C2×C4⋊C4—31no—
958C2×C4⋊C4—31no—
959C2×C4⋊C4—31no—
960C2×C4⋊C4—64no—
961C2×C4⋊C4C22×D311yescharacteristic
962C2×C4⋊C4C22×D311yescharacteristic
963C2×C4⋊C4C22×D311yescharacteristic
964C2×C22⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—31no—
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—31no—
973C2×C22⋊C4—31no—
974C2×C22⋊C4—31no—
975C2×C22⋊C4—31no—
976C2×C22⋊C4—31no—
977C2×C22⋊C4—31no—
978C2×C22⋊C4—31no—
979C2×C22⋊C4—31no—
980C2×C22⋊C4—31no—
981C2×C22⋊C4—31no—
982C2×C22⋊C4—31no—
983C2×C22⋊C4—31no—
984C2×C22⋊C4—31no—
985C2×C22⋊C4—31no—
986C2×C22⋊C4—31no—
987C2×C22⋊C4—31no—
988C2×C22⋊C4—31no—
989C2×C22⋊C4—31no—
990C2×C22⋊C4—31no—
991C2×C22⋊C4—31no—
992C2×C22⋊C4—31no—
993C2×C22⋊C4—31no—
994C2×C22⋊C4—31no—
995C2×C22⋊C4—31no—
996C2×C22⋊C4—31no—
997C2×C22⋊C4—31no—
998C2×C22⋊C4—31no—
999C2×C22⋊C4—31no—
1000C2×C22⋊C4—31no—
1001C2×C22⋊C4—31no—
1002C2×C22⋊C4—31no—
1003C2×C22⋊C4—31no—
1004C2×C22⋊C4—31no—
1005C2×C22⋊C4—31no—
1006C2×C22⋊C4—31no—
1007C2×C22⋊C4—31no—
1008C2×C22⋊C4—31no—
1009C2×C22⋊C4—31no—
1010C2×C22⋊C4—31no—
1011C2×C22⋊C4—64no—
1012C2×C22⋊C4—64no—
1013C2×C22⋊C4—64no—
1014C2×C22⋊C4—122no—
1015C2×C22⋊C4—122no—
1016C2×C22⋊C4—122no—
1017C2×C22⋊C4—122no—
1018C2×C22⋊C4C22×D311yescharacteristic
1019C2×C22⋊C4C22×D311yescharacteristic
1020C2×C22⋊C4C22×D311yescharacteristic
1021C2×C22⋊C4C22×D311yescharacteristic
1022C2×C22⋊C4C22×D311yescharacteristic
1023C2×C22⋊C4C22×D311yescharacteristic
1024C2×C22⋊C4C22×D311yescharacteristic
1025C2×C22⋊C4C22×D311yescharacteristic
1026C2×C22⋊C4C22×D311yescharacteristic
1027C2×C22⋊C4C22×D311yescharacteristic
1028C2×C22⋊C4C22×D311yescharacteristic
1029C2×C22⋊C4C22×D311yescharacteristic
1030C2×C22⋊C4C22×D311yescharacteristic
1031C2×C42—31no—
1032C2×C42—31no—
1033C2×C42—31no—
1034C2×C42—31no—
1035#95—31no—
1036#95—31no—
1037#95—31no—
1038#95—31no—
1039#95—31no—
1040#95—31no—
1041#95—31no—
1042#95—31no—
1043#95—31no—
1044#95—31no—
1045#95—31no—
1046#95—31no—
1047#95—31no—
1048#95—31no—
1049#95—31no—
1050#95—31no—
1051#95—31no—
1052#95—31no—
1053#95—31no—
1054#95—31no—
1055#95C22×D311yescharacteristic
1056#95C22×D311yescharacteristic
1057#95C22×D311yescharacteristic
1058#95C22×D311yescharacteristic
1059#95C22×D311yescharacteristic
1060#95C22×D311yescharacteristic
1061#95C22×D311yescharacteristic
1062#95C22×D311yescharacteristic
1063#95C22×D311yescharacteristic
1064#95C22×D311yescharacteristic
1065C23×C3—21no—
1066C23×C3—21no—
1067C23×C3—21no—
1068C23×C3—21no—
1069C23×C3—21no—
1070C23×C3—21no—
1071C23×C3—21no—
1072C23×C3—21no—
1073C23×C3—21no—
1074C23×C3—21no—
1075C23×C3—21no—
1076C23×C3—21no—
1077C23×C3—21no—
1078C23×C3—21no—
1079C23×C3—21no—
1080C23×C3—21no—
1081C23×C3—21no—
1082C23×C3—21no—
1083C23×C3—21no—
1084C23×C3—21no—
1085C23×C3—21no—
1086C23×C3—21no—
1087C23×C3—21no—
1088C23×C3—21no—
1089C23×C3—21no—
1090C23×C3C22×D412yes—
1091C23×C3C22×D412yes—
1092C23×C3C2×#4112yes—
1093C23×C3C2511yescharacteristic
1094C22×D3—21no—
1095C22×D3—21no—
1096C22×D3—21no—
1097C22×D3—21no—
1098C22×D3—21no—
1099C22×D3—21no—
1100C22×D3—21no—
1101C22×D3—21no—
1102C22×D3—28no—
1103C22×D3—28no—
1104C22×D3—21no—
1105C22×D3—21no—
1106C22×D3—21no—
1107C22×D3—21no—
1108C22×D3—21no—
1109C22×D3—21no—
1110C22×D3—21no—
1111C22×D3—21no—
1112C22×D3—21no—
1113C22×D3—21no—
1114C22×D3—21no—
1115C22×D3—21no—
1116C22×D3—21no—
1117C22×D3—21no—
1118C22×D3—21no—
1119C22×D3—21no—
1120C22×D3—21no—
1121C22×D3—21no—
1122C22×D3—21no—
1123C22×D3—21no—
1124C22×D3—21no—
1125C22×D3—44no—
1126C22×D3—44no—
1127C22×D3—44no—
1128C22×D3—44no—
1129C22×D3—44no—
1130C22×D3—44no—
1131C22×D3—44no—
1132C22×D3—44no—
1133C22×D3—44no—
1134C22×D3—44no—
1135C22×D3—44no—
1136C22×D3—44no—
1137C22×D3—44no—
1138C22×D3—44no—
1139C22×D3—44no—
1140C22×D3—44no—
1141C22×D3—82no—
1142C22×D3—82no—
1143C22×D3—82no—
1144C22×D3—82no—
1145C22×D3—82no—
1146C22×D3—82no—
1147C22×D3—82no—
1148C22×D3—82no—
1149C22×D3—82no—
1150C22×D3—82no—
1151C22×D3C22×D412yes—
1152C22×D3C2×#4112yes—
1153C22×D3C2×#4112yes—
1154C22×D3H(5,𝔽2)12yes—
1155C22×D3H(5,𝔽2)12yes—
1156C22×D3H(5,𝔽2)12yes—
1157C3×D4—44no—
1158C3×D4—44no—
1159C3×D4—44no—
1160C3×D4—44no—
1161C3×D4—82no—
1162C3×D4—82no—
1163C2×C3×C4—21no—
1164C2×C3×C4—21no—
1165C2×C3×C4—21no—
1166C2×C3×C4—21no—
1167C2×C3×C4—21no—
1168C2×C3×C4—21no—
1169C2×C3×C4—21no—
1170C2×C3×C4—21no—
1171C2×C3×C4—21no—
1172C2×C3×C4—21no—
1173C2×C3×C4—21no—
1174C2×C3×C4—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—21no—
1194C2×C3×C4—21no—
1195C2×C3×C4—44no—
1196C2×C3×C4—82no—
1197C2×C3×C4—82no—
1198C2×C3×C4C22×D412yes—
1199#67—28no—
1200#67—28no—
1201#67—44no—
1202#67—44no—
1203#67—44no—
1204#67—44no—
1205#67—44no—
1206#67—44no—
1207#67—82no—
1208#67—82no—
1209#67—82no—
1210#67—82no—
1211C2×Dic3—21no—
1212C2×Dic3—21no—
1213C2×Dic3—21no—
1214C2×Dic3—21no—
1215C2×Dic3—21no—
1216C2×Dic3—21no—
1217C2×Dic3—21no—
1218C2×Dic3—21no—
1219C2×Dic3—21no—
1220C2×Dic3—21no—
1221C2×Dic3—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—44no—
1241C2×Dic3—82no—
1242C2×Dic3—82no—
1243C2×Dic3C22×D412yes—
1244C2×Dic3C22×D412yes—
1245C2×Dic3C22×D412yes—
1246C2×Dic3H(5,𝔽2)12yes—
1247D12—44no—
1248D12—44no—
1249D12—44no—
1250D12—44no—
1251D12—82no—
1252D12—82no—
1253C4×D3—28no—
1254C4×D3—44no—
1255C4×D3—44no—
1256C4×D3—44no—
1257C4×D3—44no—
1258C4×D3—44no—
1259C4×D3—44no—
1260C4×D3—82no—
1261C4×D3—82no—
1262Dic6—82no—
1263C24—31no—
1264C24—31no—
1265C24—34no—
1266C24—31no—
1267C24—31no—
1268C24—31no—
1269C24—62no—
1270C24—62no—
1271C24—62no—
1272C24—62no—
1273C24—62no—
1274C24—62no—
1275C24—62no—
1276C24—62no—
1277C24—62no—
1278C24—62no—
1279C24—62no—
1280C24—62no—
1281C24—62no—
1282C24—62no—
1283C24—62no—
1284C24—121no—
1285C24—121no—
1286C24—121no—
1287C24—121no—
1288C24—121no—
1289C24—121no—
1290C24—121no—
1291C24—121no—
1292C24—121no—
1293C24—121no—
1294C24—121no—
1295C24—121no—
1296C24C23×D311yescharacteristic
1297C24C23×D311yescharacteristic
1298C24C23×D311yescharacteristic
1299C24C23×D311yescharacteristic
1300C2×Q8—62no—
1301C2×Q8—121no—
1302C2×Q8—121no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—22no—
1309C2×D4—22no—
1310C2×D4—34no—
1311C2×D4—34no—
1312C2×D4—41no—
1313C2×D4—41no—
1314C2×D4—41no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—41no—
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—121no—
1351C2×D4—121no—
1352C2×D4—121no—
1353C2×D4—121no—
1354C2×D4—121no—
1355C2×D4—121no—
1356C2×D4—121no—
1357C2×D4—121no—
1358C2×D4—1216no—
1359C2×D4—121no—
1360C2×D4—121no—
1361C2×D4—121no—
1362C2×D4—121no—
1363C2×D4—121no—
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—1216no—
1376C2×D4—1216no—
1377C2×D4—1216no—
1378C2×D4D3×D414yescomplemented
1379C22×C4—22no—
1380C22×C4—22no—
1381C22×C4—31no—
1382C22×C4—31no—
1383C22×C4—31no—
1384C22×C4—31no—
1385C22×C4—34no—
1386C22×C4—31no—
1387C22×C4—31no—
1388C22×C4—31no—
1389C22×C4—31no—
1390C22×C4—31no—
1391C22×C4—31no—
1392C22×C4—31no—
1393C22×C4—41no—
1394C22×C4—41no—
1395C22×C4—41no—
1396C22×C4—41no—
1397C22×C4—41no—
1398C22×C4—41no—
1399C22×C4—41no—
1400C22×C4—62no—
1401C22×C4—62no—
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—121no—
1418C22×C4—121no—
1419C22×C4—121no—
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—1216no—
1430C22×C4—121no—
1431C22×C4—121no—
1432C22×C4—121no—
1433C22×C4—121no—
1434C22×C4—121no—
1435C22×C4—121no—
1436C22×C4C23×D311yescharacteristic
1437C22×C4C23×D311yescharacteristic
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
1447C4⋊C4—22no—
1448C4⋊C4—22no—
1449C4⋊C4—34no—
1450C4⋊C4—41no—
1451C4⋊C4—62no—
1452C4⋊C4—62no—
1453C4⋊C4—62no—
1454C4⋊C4—62no—
1455C4⋊C4—62no—
1456C4⋊C4—62no—
1457C4⋊C4—62no—
1458C4⋊C4—62no—
1459C4⋊C4—121no—
1460C4⋊C4—121no—
1461C4⋊C4—121no—
1462C4⋊C4—121no—
1463C4⋊C4—121no—
1464C22⋊C4—22no—
1465C22⋊C4—22no—
1466C22⋊C4—22no—
1467C22⋊C4—22no—
1468C22⋊C4—34no—
1469C22⋊C4—34no—
1470C22⋊C4—41no—
1471C22⋊C4—41no—
1472C22⋊C4—41no—
1473C22⋊C4—41no—
1474C22⋊C4—41no—
1475C22⋊C4—41no—
1476C22⋊C4—41no—
1477C22⋊C4—41no—
1478C22⋊C4—41no—
1479C22⋊C4—62no—
1480C22⋊C4—62no—
1481C22⋊C4—62no—
1482C22⋊C4—62no—
1483C22⋊C4—62no—
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—121no—
1504C22⋊C4—121no—
1505C22⋊C4—121no—
1506C22⋊C4—121no—
1507C22⋊C4—121no—
1508C22⋊C4—121no—
1509C22⋊C4—121no—
1510C22⋊C4—121no—
1511C22⋊C4—121no—
1512C22⋊C4—121no—
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—
1524C42—62no—
1525C42—62no—
1526C42—121no—
1527C42—121no—
1528C22×C3—22no—
1529C22×C3—22no—
1530C22×C3—22no—
1531C22×C3—22no—
1532C22×C3—22no—
1533C22×C3—22no—
1534C22×C3—22no—
1535C22×C3—22no—
1536C22×C3—22no—
1537C22×C3—41no—
1538C22×C3—41no—
1539C22×C3—41no—
1540C22×C3—41no—
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×C3C23×D411yescharacteristic
1557C22×C3C22×#4111yescharacteristic
1558C22×C3C2×H(5,𝔽2)11yescharacteristic
1559C22×C3C2×H(5,𝔽2)11yescharacteristic
1560C22×C3C2×H(5,𝔽2)11yescharacteristic
1561C22×C3C2×H(5,𝔽2)11yescharacteristic
1562C22×C3#58511yescharacteristic
1563C2×D3—22no—
1564C2×D3—22no—
1565C2×D3—22no—
1566C2×D3—22no—
1567C2×D3—22no—
1568C2×D3—22no—
1569C2×D3—22no—
1570C2×D3—22no—
1571C2×D3—22no—
1572C2×D3—22no—
1573C2×D3—22no—
1574C2×D3—22no—
1575C2×D3—416no—
1576C2×D3—41no—
1577C2×D3—41no—
1578C2×D3—41no—
1579C2×D3—41no—
1580C2×D3—41no—
1581C2×D3—41no—
1582C2×D3—41no—
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—88no—
1598C2×D3—88no—
1599C2×D3—88no—
1600C2×D3#53814yescomplemented
1601C2×D3#54614yes—
1602C3×C4—22no—
1603C3×C4—41no—
1604C3×C4—41no—
1605C3×C4—41no—
1606C3×C4—41no—
1607C3×C4—41no—
1608C3×C4—41no—
1609C3×C4—41no—
1610C3×C4—41no—
1611C3×C4—41no—
1612C3×C4—41no—
1613Dic3—22no—
1614Dic3—22no—
1615Dic3—22no—
1616Dic3—22no—
1617Dic3—41no—
1618Dic3—41no—
1619Dic3—41no—
1620Dic3—41no—
1621Dic3—41no—
1622Dic3—41no—
1623Dic3—41no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
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—32no—
1650C23—32no—
1651C23—32no—
1652C23—32no—
1653C23—32no—
1654C23—32no—
1655C23—68no—
1656C23—68no—
1657C23—61no—
1658C23—61no—
1659C23—61no—
1660C23—61no—
1661C23—61no—
1662C23—61no—
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—124no—
1687C23—124no—
1688C23—124no—
1689C23—124no—
1690C23—124no—
1691C23—124no—
1692C23—124no—
1693C23—124no—
1694C23—124no—
1695C23—124no—
1696C23—124no—
1697C23—124no—
1698C23—124no—
1699C23—124no—
1700C23—124no—
1701C23—124no—
1702C23—242no—
1703C23—242no—
1704C23—242no—
1705C23—242no—
1706C23—242no—
1707C23—242no—
1708C23—242no—
1709C23—242no—
1710C23—242no—
1711C23—242no—
1712C23C2×D3×D412yes—
1713C23C2×D3×D412yes—
1714C23D3×#4112yes—
1715C23C24×D311yescharacteristic
1716Q8—242no—
1717D4—44no—
1718D4—44no—
1719D4—44no—
1720D4—44no—
1721D4—68no—
1722D4—68no—
1723D4—82no—
1724D4—82no—
1725D4—124no—
1726D4—124no—
1727D4—124no—
1728D4—124no—
1729D4—124no—
1730D4—124no—
1731D4—124no—
1732D4—124no—
1733D4—124no—
1734D4—124no—
1735D4—242no—
1736D4—242no—
1737D4—242no—
1738D4—242no—
1739D4—242no—
1740D4—242no—
1741C2×C4—21no—
1742C2×C4—21no—
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—21no—
1772C2×C4—21no—
1773C2×C4—32no—
1774C2×C4—32no—
1775C2×C4—32no—
1776C2×C4—32no—
1777C2×C4—44no—
1778C2×C4—68no—
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—61no—
1807C2×C4—61no—
1808C2×C4—82no—
1809C2×C4—82no—
1810C2×C4—124no—
1811C2×C4—124no—
1812C2×C4—124no—
1813C2×C4—124no—
1814C2×C4—124no—
1815C2×C4—124no—
1816C2×C4—124no—
1817C2×C4—242no—
1818C2×C4—242no—
1819C2×C4—242no—
1820C2×C4—242no—
1821C2×C4C2×D3×D412yes—
1822C2×C3—42no—
1823C2×C3—42no—
1824C2×C3—42no—
1825C2×C3—81no—
1826C2×C3C2×#53811yescharacteristic
1827C2×C3C2×#54611yescharacteristic
1828C2×C3#348411yescharacteristic
1829C2×C3#348811yescharacteristic
1830C2×C3#350511yescharacteristic
1831C2×C3#353411yescharacteristic
1832C2×C3#353711yescharacteristic
1833D3—24no—
1834D3—24no—
1835D3—81no—
1836D3—81no—
1837D3—81no—
1838C22—22no—
1839C22—22no—
1840C22—22no—
1841C22—22no—
1842C22—22no—
1843C22—22no—
1844C22—22no—
1845C22—22no—
1846C22—22no—
1847C22—34no—
1848C22—34no—
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—248no—
1903C22—248no—
1904C22—248no—
1905C22C22×D3×D411yescharacteristic
1906C22C2×D3×#4111yescharacteristic
1907C22#596411yescharacteristic
1908C22D3×H(5,𝔽2)11yescharacteristic
1909C22D3×H(5,𝔽2)11yescharacteristic
1910C22D3×H(5,𝔽2)11yescharacteristic
1911C22D3×H(5,𝔽2)11yescharacteristic
1912C4—22no—
1913C4—41no—
1914C4—41no—
1915C4—41no—
1916C4—41no—
1917C4—41no—
1918C4—41no—
1919C4—41no—
1920C4—41no—
1921C4—41no—
1922C4—41no—
1923C4—62no—
1924C4—62no—
1925C4—62no—
1926C4—62no—
1927C4—121no—
1928C4—121no—
1929C4—121no—
1930C4—121no—
1931C4—121no—
1932C4—121no—
1933C4—121no—
1934C3#3769311yescharacteristic, complemented, Sylow
1935C2—42no—
1936C2—42no—
1937C2—42no—
1938C2—64no—
1939C2—64no—
1940C2—81no—
1941C2—241no—
1942C2—241no—
1943C2—241no—
1944C2#8630811yescharacteristic
1945C2D3×#53811yescharacteristic
1946C2#8649011yescharacteristic
1947C2#8662911yescharacteristic
1948C2D3×#54611yescharacteristic
1949C2#8691211yescharacteristic
1950C2#8707111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2688C2
hypercenter#2688D3
hypocenterC3#37693
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2688

Complements

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

NH ≅ G/Ntype
1. C2×#5613C2semidirect
2. C2×D3×#121C2semidirect
3. C3×#2688C2semidirect
4. #82702C2semidirect
5. #82689C2semidirect
6. #78361C2semidirect
7. #78144C2semidirect
8. #77684C2semidirect
9. #77674C2semidirect
10. #77483C2semidirect
11. #77474C2semidirect
12. #77114C2semidirect
13. #76926C2semidirect
14. #76753C2semidirect
15. #76753C2semidirect
16. #76722C2semidirect
17. #76714C2semidirect
18. #74894C2semidirect
19. #74888C2semidirect
20. #74878C2semidirect
21. #74878C2semidirect
22. #74877C2semidirect
23. D3×#386C2semidirect
24. #74823C2semidirect
25. #74814C2semidirect
26. #74793C2semidirect
27. #74690C2semidirect
28. #74655C2semidirect
29. #74530C2semidirect
30. #74128C2semidirect
31. #74126C2semidirect
36. C22×D3×D4C22semidirect
38. C2×C3×#121C22semidirect
39. C2×C3×#121C22semidirect
40. C2×#939C22semidirect
41. C2×#939C22semidirect
42. C2×#939C22semidirect
43. C2×#939C22semidirect
47. C2×#937C22semidirect
48. C2×#937C22semidirect
49. C2×#936C22semidirect
50. C2×#935C22semidirect
51. C2×#930C22semidirect
52. C2×#930C22semidirect
53. C2×#929C22semidirect
54. C2×C4×#67C22semidirect
55. C2×C4×#67C22semidirect
56. C22×(C2×D3)⋊C4C22semidirect
57. C22×(C2×D3)⋊C4C22semidirect
60. C2×#898C22semidirect
61. C2×#896C22semidirect
62. C2×#896C22semidirect
64. C2×D3×C4⋊C4C22semidirect
65. C2×#885C22semidirect
70. C2×#882C22semidirect
71. C2×#882C22semidirect
72. C2×#67⋊C4C22semidirect
73. C2×#67⋊C4C22semidirect
75. C2×D3×C22⋊C4C22semidirect
76. C2×D3×C22⋊C4C22semidirect
77. C2×D3×C22⋊C4C22semidirect
78. C2×D3×C22⋊C4C22semidirect
79. C2×#879C22semidirect
80. C2×#878C22semidirect
81. C3×#400C22semidirect
82. C3×#397C22semidirect
83. C3×#397C22semidirect
84. C3×#394C22semidirect
85. C3×#392C22semidirect
86. C3×#392C22semidirect
87. C3×#386C22semidirect
88. C3×#386C22semidirect
89. C3×#386C22semidirect
90. C3×#386C22semidirect
91. C3×#386C22semidirect
92. C3×#385C22semidirect
93. C3×#381C22semidirect
94. #5223C22semidirect
95. #5223C22semidirect
96. #5223C22semidirect
97. #5223C22semidirect
98. #5223C22semidirect
99. #5220C22semidirect
100. #5220C22semidirect
101. #5220C22semidirect
102. #5220C22semidirect
103. #5213C22semidirect
104. #5213C22semidirect
105. #5210C22semidirect
106. #5210C22semidirect
107. #4992C22semidirect
108. #4991C22semidirect
109. #4990C22semidirect
110. #4989C22semidirect
111. #4989C22semidirect
112. #4988C22semidirect
113. #4985C22semidirect
114. #4961C22semidirect
115. #4960C22semidirect
116. #4960C22semidirect
117. #4960C22semidirect
118. #4960C22semidirect
119. #4959C22semidirect
120. #4959C22semidirect
121. #4959C22semidirect
122. #4959C22semidirect
123. #4959C22semidirect
124. #4958C22semidirect
125. #4958C22semidirect
126. #4958C22semidirect
127. #4957C22semidirect
128. #4957C22semidirect
129. #4957C22semidirect
130. #4957C22semidirect
131. #4957C22semidirect
136. #4956C22semidirect
137. #4956C22semidirect
140. #4955C22semidirect
141. #4955C22semidirect
142. #4952C22semidirect
143. #4948C22semidirect
144. #4946C22semidirect
145. #4945C22semidirect
146. #4944C22semidirect
147. #4944C22semidirect
148. #4943C22semidirect
149. #4942C22semidirect
150. #4676C22semidirect
151. #4675C22semidirect
152. #4675C22semidirect
153. #4675C22semidirect
154. #4675C22semidirect
155. #4673C22semidirect
156. #4673C22semidirect
157. #4672C22semidirect
158. #4672C22semidirect
159. #4672C22semidirect
160. #4672C22semidirect
161. #4671C22semidirect
162. #4669C22semidirect
163. #4669C22semidirect
164. #4668C22semidirect
165. #4668C22semidirect
166. #4667C22semidirect
167. #4667C22semidirect
168. #4667C22semidirect
169. #4667C22semidirect
170. #4666C22semidirect
171. #4666C22semidirect
176. #4665C22semidirect
177. #4665C22semidirect
178. #4665C22semidirect
179. #4665C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. D3×#95C22semidirect
183. D3×#95C22semidirect
184. #4658C22semidirect
185. #4658C22semidirect
186. #4654C22semidirect
187. #4654C22semidirect
188. #4653C22semidirect
189. #4652C22semidirect
198. #2688D3semidirect
315. #938D4semidirect
458. C2×#121C2×D3semidirect
459. C2×#121C2×D3semidirect
483. #400C2×D3semidirect
490. #397C2×D3semidirect
491. #397C2×D3semidirect
505. #394C2×D3semidirect
518. #392C2×D3semidirect
519. #392C2×D3semidirect
561. #386C2×D3semidirect
562. #386C2×D3semidirect
563. #386C2×D3semidirect
564. #386C2×D3semidirect
565. #386C2×D3semidirect
573. #385C2×D3semidirect
575. #381C2×D3semidirect
643. C2×C3×D4C2×D4semidirect
800. #217C2×D4semidirect
801. #217C2×D4semidirect
837. C4⋊Dic3C2×D4semidirect
1378. C2×D4D3×D4semidirect
1600. C2×D3#538semidirect
1934. C3#37693semidirect

Maximal subgroups

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

subgroupindex
C2×#56132
C2×D3×#1212
C3×#26882
#827022
#826892
#783612
#781442
#776842
#776742
#774832
#774742
#771142
#769262
#767532
#767222
#767142
#748942
#748882
#748782
#748772
D3×#3862
#748232
#748142
#747932
#746902
#746552
#745302
#741282
#741262
#376933