Finite Group Databasebeta

← #13172684

Subgroups — #13172684

Order 1728.

2332 conjugacy classes of subgroups.

The subgroup lattice has 1534 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3⋊D3×#67C211yesmaximal, characteristic, complemented
2C2×D3×#638C211yesmaximal, characteristic, complemented
3C22×C3×#626C211yesmaximal, characteristic, complemented
4C2×#88954C211yesmaximal, characteristic, complemented
5#11723727C211yesmaximal, characteristic, complemented
6#11723618C211yesmaximal, characteristic, complemented
7C3×#63978C211yesmaximal, characteristic, complemented
8C3×#63976C211yesmaximal, characteristic, complemented
9#11723029C211yesmaximal, characteristic, complemented
10#11722967C211yesmaximal, characteristic, complemented
11#11722963C211yesmaximal, characteristic, complemented
12#11722954C211yesmaximal, characteristic, complemented
13#11722950C211yesmaximal, characteristic, complemented
14#11722949C211yesmaximal, characteristic, complemented
15#11722929C211yesmaximal, characteristic, complemented
16#10595526—31nomaximal
17#10595292—31nomaximal
18#10595069—31nomaximal
19C23×C3×C3⋊D3C2211yescharacteristic, complemented
20C23×C32×D3C2211yescharacteristic, complemented
21C22×D3×C3⋊D3C2211yescharacteristic, complemented
22C22×D3×C3⋊D3C2211yescharacteristic, complemented
23C2×#6312C2211yescharacteristic
24C2×C3×#638C2211yescharacteristic, complemented
25C2×C32×#67C2211yescharacteristic, complemented
26C22×C32×Dic3C2211yescharacteristic, complemented
27C2×#6295C2211yescharacteristic, complemented
28C2×#6295C2211yescharacteristic, complemented
29C3⋊D3×#67—24no—
30D3×#638—24no—
31C2×#6292C2211yescharacteristic, complemented
32C2×#6291C2211yescharacteristic, complemented
33C2×#6290C2211yescharacteristic, complemented
34C2×#6290C2211yescharacteristic, complemented
35C2×#6289C2211yescharacteristic, complemented
36C2×Dic3×C3⋊D3C2211yescharacteristic, complemented
37C2×D3×C3⋊Dic3C2211yescharacteristic, complemented
38C2×C3×#626—24no—
39C2×C3×#626C2211yescharacteristic
40C2×C3×#626C2211yescharacteristic, complemented
41C2×C3×#626C2211yescharacteristic, complemented
42C2×C3×#626C2211yescharacteristic, complemented
43C2×C3×#626C2211yescharacteristic, complemented
44C2×C3×#625C2211yescharacteristic, complemented
45C2×C3×#625C2211yescharacteristic, complemented
46#88954—24no—
47C3×#3757C2211yescharacteristic, complemented
48#88814C2211yescharacteristic, complemented
49#88814C2211yescharacteristic, complemented
50#88806C2211yescharacteristic, complemented
51#88804C2211yescharacteristic, complemented
52Dic3×C3⋊Dic3C2211yescharacteristic, complemented
53C3×Dic3⋊Dic3C2211yescharacteristic, complemented
54C3×#3722C2211yescharacteristic, complemented
55C3×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
56C3×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
57C3×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
58C22×#638—31no—
59C2×D4×C3⋊D3—31no—
60C22×C3×#67—31no—
61C22×C3×D12—31no—
62C2×#3811—31no—
63C2×#3811—31no—
64C2×D3×#67—31no—
65C2×D3×#67—31no—
66C2×D3×#67—31no—
67C2×D3×#67—31no—
68C2×D3×#67—61no—
69C2×D3×#67—61no—
70C22×#626D311yescharacteristic, complemented
71C2×#3802—31no—
72C4×#638—31no—
73C3×#953—31no—
74C3×#939—31no—
75C3×#937—31no—
76C3×#930—31no—
77#63983—31no—
78#63981—31no—
79#63981—31no—
80#63981—31no—
81#63980—31no—
82#63979—31no—
83#63979—31no—
84#63978D311yescharacteristic, complemented
85#63977—31no—
86#63976—31no—
87#63976D311yescharacteristic, complemented
88#67⋊Dic3—31no—
89#63971—31no—
90#63971—31no—
91#63958—31no—
92#63952—31no—
93#63952—31no—
94#63952—61no—
95#63923—31no—
96#63922—31no—
97#63922—31no—
98#63916—31no—
99#63914—31no—
100#63912—31no—
101#63910—31no—
102#63898—31no—
103#63885—31no—
104#63885—31no—
105#63881—31no—
106C23×C33C2311yescharacteristic
107C22×C3⋊(C3⋊D3)C2311yescharacteristic
108C22×C3×C3⋊D3—22no—
109C22×C3×C3⋊D3—22no—
110C22×C3×C3⋊D3—41no—
111C22×C3×C3⋊D3C2311yescharacteristic
112C22×C3×C3⋊D3C2311yescharacteristic
113C22×C3×C3⋊D3C2311yescharacteristic
114C22×C32×D3—22no—
115C22×C32×D3—22no—
116C22×C32×D3—41no—
117C22×C32×D3C2311yescharacteristic
118C22×C32×D3C2311yescharacteristic
119C22×C32×D3C2311yescharacteristic
120C2×D3×C3⋊D3—22no—
121C2×D3×C3⋊D3—22no—
122C2×D3×C3⋊D3—22no—
123C2×D3×C3⋊D3—22no—
124C2×D3×C3⋊D3—41no—
125C2×D3×C3⋊D3—41no—
126#6312D414yescomplemented
127C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
128C3×#638—22no—
129C2×C3×C3⋊Dic3C2311yescharacteristic
130C2×C3×C3⋊Dic3C2311yescharacteristic
131C2×C3×C3⋊Dic3C2311yescharacteristic
132C32×#67—22no—
133C2×C32×Dic3—22no—
134C2×C32×Dic3C2311yescharacteristic
135C2×C32×Dic3C2311yescharacteristic
136C2×C32×Dic3C2311yescharacteristic
137#6295—22no—
138#6295—41no—
139#6292—22no—
140#6291—22no—
141#6290—22no—
142#6290—22no—
143#6289—22no—
144Dic3×C3⋊D3—22no—
145D3×C3⋊Dic3—22no—
146C3×#626—22no—
147C3×#626—22no—
148C3×#626—22no—
149C3×#626—22no—
150C3×#626D414yescomplemented
151C3×#625—22no—
152C3×#625—41no—
153D4×#67—91no—
154#5609—91no—
155#5590—91no—
156C24×C32—31no—
157C23×C3⋊D3—31no—
158C23×C3⋊D3—31no—
159C23×C3⋊D3C2×D311yescharacteristic, complemented
160C23×C3×D3—21no—
161C23×C3×D3—31no—
162C23×C3×D3—31no—
163C23×C3×D3—61no—
164C23×C3×D3C2×D311yescharacteristic, complemented
165C23×C3×D3C2×D311yescharacteristic, complemented
166C22×D32—31no—
167C22×D32—31no—
168C22×D32—31no—
169C22×D32—31no—
170C22×D32—61no—
171C22×D32—61no—
172C2×C32×D4—31no—
173C22×C32×C4—31no—
174C2×#638—31no—
175C2×#638—31no—
176C2×#638—31no—
177C2×#638—31no—
178C2×#638—31no—
179C2×#638—31no—
180C2×#638—64no—
181C2×#638—61no—
182C2×#638—61no—
183C2×#638—61no—
184C2×#638—121no—
185C2×#638C2×D311yescharacteristic, complemented
186C22×C3⋊Dic3—31no—
187D4×C3⋊D3—64no—
188C2×C4⋊(C3⋊D3)—31no—
189C2×C4×C3⋊D3—31no—
190C2×C4×C3⋊D3—31no—
191C2×C3×#67—21no—
192C2×C3×#67—31no—
193C2×C3×#67—31no—
194C2×C3×#67—31no—
195C2×C3×#67—31no—
196C2×C3×#67—31no—
197C2×C3×#67—31no—
198C2×C3×#67—31no—
199C2×C3×#67—31no—
200C2×C3×#67—31no—
201C2×C3×#67—31no—
202C2×C3×#67—31no—
203C2×C3×#67—64no—
204C2×C3×#67—61no—
205C2×C3×#67C2×D311yescharacteristic, complemented
206C2×C3×#67C2×D311yescharacteristic, complemented
207C22×C3×Dic3—21no—
208C22×C3×Dic3C2×D311yescharacteristic, complemented
209C22×C3×Dic3C2×D311yescharacteristic, complemented
210C2×C3×D12—31no—
211C2×C3×D12—31no—
212C2×C3×D12—31no—
213C2×C3×D12—31no—
214C2×C3×D12—31no—
215C2×C3×D12—64no—
216#3811—64no—
217#3811—64no—
218D3×#67—64no—
219D3×#67—64no—
220D3×#67—68no—
221D3×#67—64no—
222D3×#67—64no—
223D3×#67—68no—
224C2×#626—24no—
225C2×#626—31no—
226C2×#626—31no—
227C2×#626—31no—
228C2×#626—31no—
229C2×#626—31no—
230C2×#626—31no—
231C2×#626—31no—
232C2×#626—31no—
233C2×#626—61no—
234C2×#626—61no—
235C2×#626C2×D311yescharacteristic
236C2×#626C2×D311yescharacteristic, complemented
237C2×#626C2×D311yescharacteristic, complemented
238C2×#626C2×D311yescharacteristic, complemented
239C2×#626C2×D311yescharacteristic, complemented
240C2×#625—31no—
241C2×#625—31no—
242C2×#625—31no—
243C2×#625—31no—
244C2×#625—31no—
245C2×#625—31no—
246C2×#625—61no—
247C2×#625—61no—
248C2×#625C2×D311yescharacteristic, complemented
249C2×#625C2×D311yescharacteristic, complemented
250C2×#624—31no—
251C2×#624—31no—
252C2×#624—61no—
253C2×D3×Dic3—31no—
254C2×D3×Dic3—31no—
255C2×D3×Dic3—31no—
256C2×D3×Dic3—31no—
257C2×D3×Dic3—61no—
258C2×D3×Dic3—61no—
259#3802—64no—
260#3757C2×D311yescharacteristic, complemented
261#3752—31no—
262#3750—31no—
263C4×C3⋊Dic3—31no—
264C3×#217—31no—
265C3×#217—31no—
266C3×#217—31no—
267C3×#217—31no—
268C3×#217—31no—
269C3×#217—61no—
270C3×(C2×D3)⋊C4—31no—
271C3×(C2×D3)⋊C4—31no—
272C3×(C2×D3)⋊C4—31no—
273C3×(C2×D3)⋊C4—31no—
274C3×(C2×D3)⋊C4—31no—
275C3×C4⋊Dic3—31no—
276C3×Dic3⋊C4—31no—
277#3724—31no—
278#3724—31no—
279#3724—61no—
280Dic3⋊Dic3C2×D311yescharacteristic, complemented
281#3722—31no—
282#3722—31no—
283#3722—31no—
284#3722—31no—
285#3722—61no—
286#3722C2×D311yescharacteristic, complemented
287(C2×D3)⋊Dic3—31no—
288(C2×D3)⋊Dic3—31no—
289(C2×D3)⋊Dic3—31no—
290(C2×D3)⋊Dic3—31no—
291(C2×D3)⋊Dic3C2×D311yescharacteristic, complemented
292(C2×D3)⋊Dic3C2×D311yescharacteristic, complemented
293(C2×D3)⋊Dic3C2×D311yescharacteristic, complemented
294Dic32—31no—
295Dic32—31no—
296Dic32—61no—
297C22×C33—21no—
298C22×C33—21no—
299C22×C33C2×D412yescomplemented
300C22×C33C2411yescharacteristic
301C2×C3⋊(C3⋊D3)—21no—
302C2×C3⋊(C3⋊D3)—21no—
303C2×C3⋊(C3⋊D3)C2×D412yescomplemented
304C2×C3×C3⋊D3—21no—
305C2×C3×C3⋊D3—21no—
306C2×C3×C3⋊D3—21no—
307C2×C3×C3⋊D3—21no—
308C2×C3×C3⋊D3—21no—
309C2×C3×C3⋊D3—21no—
310C2×C3×C3⋊D3—21no—
311C2×C3×C3⋊D3—21no—
312C2×C3×C3⋊D3—44no—
313C2×C3×C3⋊D3C2×D412yescomplemented
314C2×C32×D3—21no—
315C2×C32×D3—21no—
316C2×C32×D3—21no—
317C2×C32×D3—21no—
318C2×C32×D3—21no—
319C2×C32×D3—21no—
320C2×C32×D3—21no—
321C2×C32×D3—21no—
322C2×C32×D3—44no—
323C2×C32×D3C2×D412yescomplemented
324D3×C3⋊D3—44no—
325D3×C3⋊D3—44no—
326C3⋊(C3⋊Dic3)C2×D412yescomplemented
327C3×C3⋊Dic3—21no—
328C3×C3⋊Dic3—21no—
329C3×C3⋊Dic3—21no—
330C32×Dic3—21no—
331C32×Dic3—21no—
332C32×Dic3C2×D412yescomplemented
333C22×C3×D4—91no—
334C22×#67—31no—
335C22×#67—91no—
336C22×#67—91no—
337C22×#67—91no—
338C22×#67—181no—
339C2×D3×D4—91no—
340C2×D3×D4—91no—
341C2×D3×D4—91no—
342C2×D3×D4—91no—
343C2×D3×D4—91no—
344C2×D3×D4—91no—
345C2×D3×D4—181no—
346C22×D12—31no—
347C3×#121—91no—
348C3×#120—91no—
349#953—31no—
350#953—91no—
351#940—91no—
352#940—91no—
353#940—91no—
354#939—31no—
355#939—91no—
356#939—91no—
357#939—91no—
358#938—91no—
359#937—31no—
360#937—91no—
361#937—91no—
362#937—91no—
363#937—91no—
364D4×Dic3—91no—
365#930—31no—
366C4×#67—91no—
367C4×#67—91no—
368C4×#67—181no—
369#895—91no—
370#893—91no—
371#884—91no—
372#884—91no—
373#884—91no—
374#884—91no—
375#882—91no—
376#882—91no—
377#882—91no—
378#882—91no—
379#67⋊C4—91no—
380#67⋊C4—91no—
381C23×C32—21no—
382C23×C32—21no—
383C23×C32—21no—
384C23×C32—31no—
385C23×C32—31no—
386C23×C32—31no—
387C23×C32—41no—
388C23×C32—62no—
389C23×C32—62no—
390C23×C32—121no—
391C23×C32C22×D311yescharacteristic
392C23×C32C22×D311yescharacteristic
393C23×C32C22×D311yescharacteristic
394C22×C3⋊D3—22no—
395C22×C3⋊D3—22no—
396C22×C3⋊D3—31no—
397C22×C3⋊D3—31no—
398C22×C3⋊D3—31no—
399C22×C3⋊D3—41no—
400C22×C3⋊D3—61no—
401C22×C3⋊D3—61no—
402C22×C3⋊D3—61no—
403C22×C3⋊D3—62no—
404C22×C3⋊D3—62no—
405C22×C3⋊D3—62no—
406C22×C3⋊D3—62no—
407C22×C3⋊D3—121no—
408C22×C3⋊D3—121no—
409C22×C3⋊D3—121no—
410C22×C3⋊D3C22×D311yescharacteristic
411C22×C3⋊D3C22×D311yescharacteristic
412C22×C3⋊D3C22×D311yescharacteristic
413C22×C3×D3—24no—
414C22×C3×D3—22no—
415C22×C3×D3—22no—
416C22×C3×D3—22no—
417C22×C3×D3—22no—
418C22×C3×D3—21no—
419C22×C3×D3—21no—
420C22×C3×D3—21no—
421C22×C3×D3—31no—
422C22×C3×D3—31no—
423C22×C3×D3—31no—
424C22×C3×D3—31no—
425C22×C3×D3—31no—
426C22×C3×D3—31no—
427C22×C3×D3—42no—
428C22×C3×D3—41no—
429C22×C3×D3—41no—
430C22×C3×D3—42no—
431C22×C3×D3—61no—
432C22×C3×D3—61no—
433C22×C3×D3—61no—
434C22×C3×D3—62no—
435C22×C3×D3—62no—
436C22×C3×D3—64no—
437C22×C3×D3—62no—
438C22×C3×D3—62no—
439C22×C3×D3—122no—
440C22×C3×D3—121no—
441C22×C3×D3—121no—
442C22×C3×D3—122no—
443C22×C3×D3C22×D311yescharacteristic
444C22×C3×D3C22×D311yescharacteristic
445C22×C3×D3C22×D311yescharacteristic
446C22×C3×D3C22×D311yescharacteristic
447C22×C3×D3C22×D311yescharacteristic
448C22×C3×D3C22×D311yescharacteristic
449C2×D32—62no—
450C2×D32—62no—
451C2×D32—62no—
452C2×D32—62no—
453C2×D32—62no—
454C2×D32—62no—
455C2×D32—64no—
456C2×D32—64no—
457C2×D32—62no—
458C2×D32—62no—
459C2×D32—122no—
460C2×D32—122no—
461C2×D32—121no—
462C2×D32—121no—
463C2×D32—121no—
464C2×D32—121no—
465C2×D32—122no—
466C2×D32—122no—
467C32×D4—62no—
468C2×C32×C4—31no—
469C2×C32×C4—31no—
470C2×C32×C4—31no—
471C2×C32×C4—62no—
472#638—22no—
473#638—34no—
474#638—34no—
475#638—34no—
476#638—64no—
477#638—64no—
478#638—64no—
479#638—62no—
480#638—62no—
481#638—62no—
482#638—124no—
483C2×C3⋊Dic3—31no—
484C2×C3⋊Dic3—31no—
485C2×C3⋊Dic3—31no—
486C2×C3⋊Dic3—61no—
487C2×C3⋊Dic3—61no—
488C2×C3⋊Dic3—61no—
489C2×C3⋊Dic3—62no—
490C2×C3⋊Dic3—121no—
491C2×C3⋊Dic3C22×D311yescharacteristic
492C2×C3⋊Dic3C22×D311yescharacteristic
493C2×C3⋊Dic3C22×D311yescharacteristic
494C4⋊(C3⋊D3)—62no—
495C4×C3⋊D3—62no—
496C4×C3⋊D3—62no—
497C3×#67—24no—
498C3×#67—22no—
499C3×#67—22no—
500C3×#67—34no—
501C3×#67—62no—
502C3×#67—62no—
503C3×#67—62no—
504C3×#67—64no—
505C3×#67—62no—
506C3×#67—62no—
507C3×#67—62no—
508C3×#67—62no—
509C3×#67—62no—
510C3×#67—121no—
511C3×#67—121no—
512C2×C3×Dic3—22no—
513C2×C3×Dic3—22no—
514C2×C3×Dic3—21no—
515C2×C3×Dic3—21no—
516C2×C3×Dic3—21no—
517C2×C3×Dic3—31no—
518C2×C3×Dic3—31no—
519C2×C3×Dic3—31no—
520C2×C3×Dic3—31no—
521C2×C3×Dic3—31no—
522C2×C3×Dic3—31no—
523C2×C3×Dic3—42no—
524C2×C3×Dic3—61no—
525C2×C3×Dic3—61no—
526C2×C3×Dic3—61no—
527C2×C3×Dic3C22×D311yescharacteristic
528C2×C3×Dic3C22×D311yescharacteristic
529C2×C3×Dic3C22×D311yescharacteristic
530C2×C3×Dic3C22×D311yescharacteristic
531C2×C3×Dic3C22×D311yescharacteristic
532C2×C3×Dic3C22×D311yescharacteristic
533C3×D12—34no—
534C3×D12—62no—
535C3×D12—62no—
536C3×D12—62no—
537C3×D12—62no—
538#626—22no—
539#626—22no—
540#626—22no—
541#626—22no—
542#626—62no—
543#626—62no—
544#626—64no—
545#626—62no—
546#626—62no—
547#626—64no—
548#626—62no—
549#626—62no—
550#626—121no—
551#626—121no—
552#626#6714yescomplemented
553#625—22no—
554#625—41no—
555#625—62no—
556#625—62no—
557#625—62no—
558#625—62no—
559#625—62no—
560#625—64no—
561#625—64no—
562#625—121no—
563#624—62no—
564#624—62no—
565#624—122no—
566D3×Dic3—62no—
567D3×Dic3—62no—
568D3×Dic3—64no—
569D3×Dic3—62no—
570D3×Dic3—62no—
571D3×Dic3—64no—
572D42—271noSylow
573C2×C33—22no—
574C2×C33C22×D411yescharacteristic
575C2×C33C22×D411yescharacteristic
576C2×C33H(5,𝔽2)11yescharacteristic
577C3⋊(C3⋊D3)—22no—
578C3×C3⋊D3—22no—
579C3×C3⋊D3—41no—
580C3×C3⋊D3—41no—
581C32×D3—22no—
582C32×D3—41no—
583C32×D3—41no—
584C24×C3—31no—
585C24×C3—31no—
586C24×C3—61no—
587C24×C3—91no—
588C23×D3—31no—
589C23×D3—31no—
590C23×D3—61no—
591C23×D3—91no—
592C23×D3—91no—
593C23×D3—91no—
594C23×D3—91no—
595C23×D3—91no—
596C23×D3—91no—
597C23×D3—181no—
598C23×D3—181no—
599C23×D3D3211yescharacteristic, complemented
600C2×C3×D4—31no—
601C2×C3×D4—31no—
602C2×C3×D4—61no—
603C2×C3×D4—91no—
604C2×C3×D4—91no—
605C2×C3×D4—91no—
606C2×C3×D4—91no—
607C2×C3×D4—91no—
608C2×C3×D4—91no—
609C2×C3×D4—91no—
610C2×C3×D4—91no—
611C2×C3×D4—184no—
612C22×C3×C4—31no—
613C22×C3×C4—31no—
614C22×C3×C4—61no—
615C2×#67—31no—
616C2×#67—31no—
617C2×#67—31no—
618C2×#67—31no—
619C2×#67—31no—
620C2×#67—31no—
621C2×#67—31no—
622C2×#67—31no—
623C2×#67—31no—
624C2×#67—31no—
625C2×#67—31no—
626C2×#67—61no—
627C2×#67—64no—
628C2×#67—91no—
629C2×#67—91no—
630C2×#67—91no—
631C2×#67—91no—
632C2×#67—91no—
633C2×#67—91no—
634C2×#67—91no—
635C2×#67—91no—
636C2×#67—91no—
637C2×#67—91no—
638C2×#67—91no—
639C2×#67—91no—
640C2×#67—91no—
641C2×#67—91no—
642C2×#67—91no—
643C2×#67—91no—
644C2×#67—181no—
645C2×#67—181no—
646C2×#67—181no—
647C2×#67—181no—
648C2×#67—181no—
649C2×#67—181no—
650C2×#67—184no—
651C2×#67—184no—
652C2×#67—184no—
653C2×#67—188no—
654C2×#67—361no—
655C2×#67D3211yescharacteristic, complemented
656C22×Dic3—91no—
657C22×Dic3—91no—
658C22×Dic3—91no—
659C22×Dic3—181no—
660C22×Dic3D3211yescharacteristic, complemented
661D3×D4—184no—
662D3×D4—184no—
663D3×D4—184no—
664D3×D4—184no—
665D3×D4—184no—
666D3×D4—184no—
667D3×D4—188no—
668C2×D12—31no—
669C2×D12—31no—
670C2×D12—31no—
671C2×D12—31no—
672C2×D12—31no—
673C2×D12—64no—
674C2×D12—91no—
675C2×D12—91no—
676C2×D12—91no—
677C2×D12—91no—
678C2×D12—91no—
679C2×D12—181no—
680C2×C4×D3—91no—
681C2×C4×D3—91no—
682C2×C4×D3—91no—
683C2×C4×D3—91no—
684C2×C4×D3—91no—
685C2×C4×D3—91no—
686C2×C4×D3—181no—
687C2×C4×D3—181no—
688C3×C4⋊C4—91no—
689C3×C22⋊C4—91no—
690C3×C22⋊C4—91no—
691C3×C22⋊C4—91no—
692C3×C22⋊C4—91no—
693C3×C22⋊C4—91no—
694#217—31no—
695#217—31no—
696#217—31no—
697#217—31no—
698#217—31no—
699#217—61no—
700#217—91no—
701#217—91no—
702(C2×D3)⋊C4—31no—
703(C2×D3)⋊C4—31no—
704(C2×D3)⋊C4—31no—
705(C2×D3)⋊C4—31no—
706(C2×D3)⋊C4—31no—
707(C2×D3)⋊C4—91no—
708(C2×D3)⋊C4—91no—
709(C2×D3)⋊C4—91no—
710(C2×D3)⋊C4—91no—
711(C2×D3)⋊C4—91no—
712(C2×D3)⋊C4—91no—
713(C2×D3)⋊C4—91no—
714(C2×D3)⋊C4—181no—
715C4⋊Dic3—31no—
716Dic3⋊C4—31no—
717Dic3⋊C4—91no—
718Dic3⋊C4—91no—
719Dic3⋊C4—91no—
720Dic3⋊C4—181no—
721C4×Dic3—91no—
722C4×Dic3—91no—
723C4×Dic3—91no—
724C4×Dic3—181no—
725C22×C32—21no—
726C22×C32—21no—
727C22×C32—21no—
728C22×C32—21no—
729C22×C32—21no—
730C22×C32—21no—
731C22×C32—21no—
732C22×C32—21no—
733C22×C32—21no—
734C22×C32—22no—
735C22×C32—22no—
736C22×C32—22no—
737C22×C32—32no—
738C22×C32—41no—
739C22×C32—42no—
740C22×C32—41no—
741C22×C32—41no—
742C22×C32—41no—
743C22×C32—41no—
744C22×C32—41no—
745C22×C32—41no—
746C22×C32—61no—
747C22×C32—61no—
748C22×C32—61no—
749C22×C32—61no—
750C22×C32—61no—
751C22×C32—61no—
752C22×C32—61no—
753C22×C32—61no—
754C22×C32—81no—
755C22×C32—81no—
756C22×C32—124no—
757C22×C32D3×D412yescomplemented
758C22×C32D3×D412yescomplemented
759C22×C32D3×D412yescomplemented
760C22×C32C23×D311yescharacteristic
761C22×C32C23×D311yescharacteristic
762C22×C32C23×D311yescharacteristic
763C2×C3⋊D3—21no—
764C2×C3⋊D3—21no—
765C2×C3⋊D3—21no—
766C2×C3⋊D3—21no—
767C2×C3⋊D3—21no—
768C2×C3⋊D3—21no—
769C2×C3⋊D3—21no—
770C2×C3⋊D3—21no—
771C2×C3⋊D3—32no—
772C2×C3⋊D3—32no—
773C2×C3⋊D3—32no—
774C2×C3⋊D3—44no—
775C2×C3⋊D3—62no—
776C2×C3⋊D3—62no—
777C2×C3⋊D3—62no—
778C2×C3⋊D3—61no—
779C2×C3⋊D3—61no—
780C2×C3⋊D3—61no—
781C2×C3⋊D3—61no—
782C2×C3⋊D3—61no—
783C2×C3⋊D3—61no—
784C2×C3⋊D3—122no—
785C2×C3⋊D3—121no—
786C2×C3⋊D3—121no—
787C2×C3⋊D3—121no—
788C2×C3⋊D3—121no—
789C2×C3⋊D3—121no—
790C2×C3⋊D3—121no—
791C2×C3⋊D3—124no—
792C2×C3⋊D3—124no—
793C2×C3⋊D3—241no—
794C2×C3⋊D3—241no—
795C2×C3⋊D3C2×#6712yescomplemented
796C2×C3×D3—22no—
797C2×C3×D3—22no—
798C2×C3×D3—21no—
799C2×C3×D3—21no—
800C2×C3×D3—21no—
801C2×C3×D3—21no—
802C2×C3×D3—22no—
803C2×C3×D3—22no—
804C2×C3×D3—21no—
805C2×C3×D3—21no—
806C2×C3×D3—21no—
807C2×C3×D3—21no—
808C2×C3×D3—21no—
809C2×C3×D3—21no—
810C2×C3×D3—21no—
811C2×C3×D3—21no—
812C2×C3×D3—21no—
813C2×C3×D3—21no—
814C2×C3×D3—21no—
815C2×C3×D3—21no—
816C2×C3×D3—22no—
817C2×C3×D3—32no—
818C2×C3×D3—32no—
819C2×C3×D3—41no—
820C2×C3×D3—41no—
821C2×C3×D3—41no—
822C2×C3×D3—41no—
823C2×C3×D3—44no—
824C2×C3×D3—44no—
825C2×C3×D3—48no—
826C2×C3×D3—62no—
827C2×C3×D3—62no—
828C2×C3×D3—62no—
829C2×C3×D3—61no—
830C2×C3×D3—61no—
831C2×C3×D3—61no—
832C2×C3×D3—61no—
833C2×C3×D3—62no—
834C2×C3×D3—62no—
835C2×C3×D3—61no—
836C2×C3×D3—61no—
837C2×C3×D3—61no—
838C2×C3×D3—61no—
839C2×C3×D3—61no—
840C2×C3×D3—61no—
841C2×C3×D3—61no—
842C2×C3×D3—61no—
843C2×C3×D3—61no—
844C2×C3×D3—61no—
845C2×C3×D3—61no—
846C2×C3×D3—61no—
847C2×C3×D3—121no—
848C2×C3×D3—121no—
849C2×C3×D3—121no—
850C2×C3×D3—121no—
851C2×C3×D3—124no—
852C2×C3×D3—124no—
853C2×C3×D3—128no—
854C2×C3×D3D3×D412yescomplemented
855C2×C3×D3C2×#6712yescomplemented
856D32—124no—
857D32—124no—
858D32—128no—
859D32—124no—
860D32—124no—
861D32—128no—
862C32×C4—32no—
863C32×C4—61no—
864C32×C4—61no—
865C3⋊Dic3—21no—
866C3⋊Dic3—21no—
867C3⋊Dic3—21no—
868C3⋊Dic3—32no—
869C3⋊Dic3—32no—
870C3⋊Dic3—32no—
871C3⋊Dic3—62no—
872C3⋊Dic3—62no—
873C3⋊Dic3—62no—
874C3⋊Dic3—122no—
875C3×Dic3—22no—
876C3×Dic3—21no—
877C3×Dic3—21no—
878C3×Dic3—21no—
879C3×Dic3—21no—
880C3×Dic3—22no—
881C3×Dic3—41no—
882C3×Dic3—62no—
883C3×Dic3—61no—
884C3×Dic3—61no—
885C3×Dic3—61no—
886C3×Dic3—61no—
887C3×Dic3—61no—
888C3×Dic3—61no—
889C3×Dic3—121no—
890C3×Dic3—121no—
891C3×Dic3D3×D412yescomplemented
892C3×Dic3C2×#6712yescomplemented
893C22×D4—91no—
894C22×D4—271no—
895C22×D4—271no—
896C22×D4—271no—
897#127—271no—
898#121—91no—
899#121—271no—
900#121—271no—
901#121—271no—
902#120—91no—
903#120—271no—
904#120—271no—
905#120—271no—
906C4×D4—271no—
907C4×D4—271no—
908C33D4211yescharacteristic, complemented, Sylow
909C23×C3—21no—
910C23×C3—21no—
911C23×C3—21no—
912C23×C3—31no—
913C23×C3—31no—
914C23×C3—31no—
915C23×C3—31no—
916C23×C3—31no—
917C23×C3—31no—
918C23×C3—41no—
919C23×C3—61no—
920C23×C3—61no—
921C23×C3—61no—
922C23×C3—62no—
923C23×C3—62no—
924C23×C3—64no—
925C23×C3—62no—
926C23×C3—62no—
927C23×C3—91no—
928C23×C3—91no—
929C23×C3—91no—
930C23×C3—122no—
931C23×C3—121no—
932C23×C3—121no—
933C23×C3—122no—
934C23×C3—182no—
935C23×C3—182no—
936C23×C3—361no—
937C23×C3C2×D3211yescharacteristic
938C23×C3C2×D3211yescharacteristic
939C23×C3C2×D3211yescharacteristic
940C22×D3—22no—
941C22×D3—22no—
942C22×D3—31no—
943C22×D3—31no—
944C22×D3—31no—
945C22×D3—31no—
946C22×D3—31no—
947C22×D3—31no—
948C22×D3—41no—
949C22×D3—61no—
950C22×D3—61no—
951C22×D3—61no—
952C22×D3—62no—
953C22×D3—62no—
954C22×D3—64no—
955C22×D3—62no—
956C22×D3—62no—
957C22×D3—91no—
958C22×D3—91no—
959C22×D3—91no—
960C22×D3—122no—
961C22×D3—121no—
962C22×D3—121no—
963C22×D3—122no—
964C22×D3—181no—
965C22×D3—181no—
966C22×D3—181no—
967C22×D3—182no—
968C22×D3—182no—
969C22×D3—182no—
970C22×D3—182no—
971C22×D3—182no—
972C22×D3—182no—
973C22×D3—182no—
974C22×D3—182no—
975C22×D3—182no—
976C22×D3—182no—
977C22×D3—182no—
978C22×D3—184no—
979C22×D3—184no—
980C22×D3—182no—
981C22×D3—361no—
982C22×D3—362no—
983C22×D3—362no—
984C22×D3—361no—
985C22×D3—361no—
986C22×D3—361no—
987C22×D3—361no—
988C22×D3—361no—
989C22×D3—361no—
990C22×D3—362no—
991C22×D3—362no—
992C22×D3C2×D3211yescharacteristic
993C22×D3C2×D3211yescharacteristic
994C22×D3C2×D3211yescharacteristic
995C3×D4—64no—
996C3×D4—62no—
997C3×D4—62no—
998C3×D4—94no—
999C3×D4—182no—
1000C3×D4—182no—
1001C3×D4—182no—
1002C3×D4—182no—
1003C3×D4—182no—
1004C3×D4—182no—
1005C3×D4—361no—
1006C2×C3×C4—31no—
1007C2×C3×C4—31no—
1008C2×C3×C4—31no—
1009C2×C3×C4—31no—
1010C2×C3×C4—31no—
1011C2×C3×C4—31no—
1012C2×C3×C4—61no—
1013C2×C3×C4—61no—
1014C2×C3×C4—61no—
1015C2×C3×C4—62no—
1016C2×C3×C4—62no—
1017C2×C3×C4—91no—
1018C2×C3×C4—91no—
1019C2×C3×C4—91no—
1020C2×C3×C4—122no—
1021#67—22no—
1022#67—34no—
1023#67—62no—
1024#67—62no—
1025#67—62no—
1026#67—64no—
1027#67—62no—
1028#67—62no—
1029#67—62no—
1030#67—62no—
1031#67—62no—
1032#67—94no—
1033#67—94no—
1034#67—94no—
1035#67—121no—
1036#67—121no—
1037#67—184no—
1038#67—184no—
1039#67—184no—
1040#67—182no—
1041#67—182no—
1042#67—182no—
1043#67—182no—
1044#67—182no—
1045#67—184no—
1046#67—182no—
1047#67—182no—
1048#67—182no—
1049#67—182no—
1050#67—182no—
1051#67—182no—
1052#67—184no—
1053#67—184no—
1054#67—364no—
1055#67—361no—
1056#67—361no—
1057C2×Dic3—22no—
1058C2×Dic3—31no—
1059C2×Dic3—31no—
1060C2×Dic3—31no—
1061C2×Dic3—31no—
1062C2×Dic3—31no—
1063C2×Dic3—31no—
1064C2×Dic3—61no—
1065C2×Dic3—61no—
1066C2×Dic3—61no—
1067C2×Dic3—91no—
1068C2×Dic3—91no—
1069C2×Dic3—91no—
1070C2×Dic3—181no—
1071C2×Dic3—181no—
1072C2×Dic3—181no—
1073C2×Dic3—182no—
1074C2×Dic3—182no—
1075C2×Dic3—182no—
1076C2×Dic3—184no—
1077C2×Dic3—361no—
1078C2×Dic3C2×D3211yescharacteristic
1079C2×Dic3C2×D3211yescharacteristic
1080C2×Dic3C2×D3211yescharacteristic
1081D12—34no—
1082D12—62no—
1083D12—62no—
1084D12—62no—
1085D12—62no—
1086D12—182no—
1087D12—182no—
1088D12—184no—
1089D12—182no—
1090D12—182no—
1091D12—361no—
1092C4×D3—182no—
1093C4×D3—182no—
1094C4×D3—182no—
1095C4×D3—182no—
1096C4×D3—182no—
1097C4×D3—184no—
1098C4×D3—182no—
1099C4×D3—362no—
1100C2×C32—22no—
1101C2×C32—22no—
1102C2×C32—22no—
1103C2×C32—21no—
1104C2×C32—21no—
1105C2×C32—21no—
1106C2×C32—21no—
1107C2×C32—21no—
1108C2×C32—21no—
1109C2×C32—21no—
1110C2×C32—21no—
1111C2×C32—21no—
1112C2×C32—41no—
1113C2×C32—41no—
1114C2×C32—41no—
1115C2×C32—42no—
1116C2×C32—42no—
1117C2×C32—42no—
1118C2×C32—62no—
1119C2×C32—82no—
1120C2×C32—121no—
1121C2×C32—121no—
1122C2×C32C2×D3×D411yescharacteristic
1123C2×C32C2×D3×D411yescharacteristic
1124C2×C32C2×D3×D411yescharacteristic
1125C2×C32C2×D3×D411yescharacteristic
1126C2×C32C2×D3×D411yescharacteristic
1127C2×C32#100411yescharacteristic
1128C2×C32#100411yescharacteristic
1129C2×C32#100911yescharacteristic
1130C2×C32C22×#6711yescharacteristic
1131C3⋊D3—22no—
1132C3⋊D3—41no—
1133C3⋊D3—41no—
1134C3⋊D3—62no—
1135C3⋊D3—62no—
1136C3⋊D3—62no—
1137C3⋊D3—122no—
1138C3⋊D3—122no—
1139C3⋊D3—122no—
1140C3⋊D3—242no—
1141C3×D3—24no—
1142C3×D3—22no—
1143C3×D3—22no—
1144C3×D3—42no—
1145C3×D3—42no—
1146C3×D3—41no—
1147C3×D3—41no—
1148C3×D3—41no—
1149C3×D3—41no—
1150C3×D3—64no—
1151C3×D3—62no—
1152C3×D3—62no—
1153C3×D3—122no—
1154C3×D3—122no—
1155C3×D3—121no—
1156C3×D3—121no—
1157C3×D3—121no—
1158C3×D3—121no—
1159C24—31no—
1160C24—91no—
1161C24—271no—
1162C24—271no—
1163C2×D4—31no—
1164C2×D4—91no—
1165C2×D4—91no—
1166C2×D4—91no—
1167C2×D4—91no—
1168C2×D4—91no—
1169C2×D4—91no—
1170C2×D4—91no—
1171C2×D4—91no—
1172C2×D4—184no—
1173C2×D4—271no—
1174C2×D4—271no—
1175C2×D4—271no—
1176C2×D4—271no—
1177C2×D4—271no—
1178C2×D4—271no—
1179C2×D4—271no—
1180C2×D4—544no—
1181C2×D4—544no—
1182C2×D4—544no—
1183C22×C4—31no—
1184C22×C4—271no—
1185C22×C4—271no—
1186C22×C4—271no—
1187C4⋊C4—91no—
1188C4⋊C4—271no—
1189C22⋊C4—91no—
1190C22⋊C4—91no—
1191C22⋊C4—91no—
1192C22⋊C4—91no—
1193C22⋊C4—91no—
1194C22⋊C4—271no—
1195C22⋊C4—271no—
1196C22⋊C4—271no—
1197C42—271no—
1198C22×C3—21no—
1199C22×C3—21no—
1200C22×C3—21no—
1201C22×C3—21no—
1202C22×C3—21no—
1203C22×C3—21no—
1204C22×C3—21no—
1205C22×C3—21no—
1206C22×C3—21no—
1207C22×C3—22no—
1208C22×C3—22no—
1209C22×C3—22no—
1210C22×C3—32no—
1211C22×C3—32no—
1212C22×C3—41no—
1213C22×C3—41no—
1214C22×C3—41no—
1215C22×C3—41no—
1216C22×C3—41no—
1217C22×C3—41no—
1218C22×C3—41no—
1219C22×C3—42no—
1220C22×C3—62no—
1221C22×C3—62no—
1222C22×C3—62no—
1223C22×C3—62no—
1224C22×C3—62no—
1225C22×C3—61no—
1226C22×C3—61no—
1227C22×C3—61no—
1228C22×C3—61no—
1229C22×C3—61no—
1230C22×C3—61no—
1231C22×C3—61no—
1232C22×C3—61no—
1233C22×C3—61no—
1234C22×C3—61no—
1235C22×C3—61no—
1236C22×C3—61no—
1237C22×C3—61no—
1238C22×C3—61no—
1239C22×C3—61no—
1240C22×C3—61no—
1241C22×C3—81no—
1242C22×C3—81no—
1243C22×C3—92no—
1244C22×C3—121no—
1245C22×C3—121no—
1246C22×C3—121no—
1247C22×C3—121no—
1248C22×C3—124no—
1249C22×C3—124no—
1250C22×C3—128no—
1251C22×C3—181no—
1252C22×C3—181no—
1253C22×C3—181no—
1254C22×C3—181no—
1255C22×C3—181no—
1256C22×C3—181no—
1257C22×C3—181no—
1258C22×C3—181no—
1259C22×C3—364no—
1260C22×C3#380212yescomplemented
1261C22×C3#381112yescomplemented
1262C22×C3#381112yescomplemented
1263C22×C3C22×D3211yescharacteristic
1264C22×C3C22×D3211yescharacteristic
1265C22×C3C22×D3211yescharacteristic
1266C2×D3—21no—
1267C2×D3—21no—
1268C2×D3—21no—
1269C2×D3—21no—
1270C2×D3—21no—
1271C2×D3—21no—
1272C2×D3—21no—
1273C2×D3—21no—
1274C2×D3—32no—
1275C2×D3—32no—
1276C2×D3—44no—
1277C2×D3—62no—
1278C2×D3—62no—
1279C2×D3—62no—
1280C2×D3—61no—
1281C2×D3—61no—
1282C2×D3—61no—
1283C2×D3—61no—
1284C2×D3—62no—
1285C2×D3—62no—
1286C2×D3—61no—
1287C2×D3—61no—
1288C2×D3—61no—
1289C2×D3—61no—
1290C2×D3—61no—
1291C2×D3—61no—
1292C2×D3—61no—
1293C2×D3—61no—
1294C2×D3—61no—
1295C2×D3—61no—
1296C2×D3—61no—
1297C2×D3—61no—
1298C2×D3—92no—
1299C2×D3—92no—
1300C2×D3—92no—
1301C2×D3—121no—
1302C2×D3—121no—
1303C2×D3—121no—
1304C2×D3—121no—
1305C2×D3—124no—
1306C2×D3—124no—
1307C2×D3—128no—
1308C2×D3—182no—
1309C2×D3—182no—
1310C2×D3—182no—
1311C2×D3—181no—
1312C2×D3—181no—
1313C2×D3—181no—
1314C2×D3—181no—
1315C2×D3—181no—
1316C2×D3—181no—
1317C2×D3—362no—
1318C2×D3—361no—
1319C2×D3—361no—
1320C2×D3—361no—
1321C2×D3—361no—
1322C2×D3—361no—
1323C2×D3—361no—
1324C2×D3—364no—
1325C2×D3—364no—
1326C2×D3—364no—
1327C2×D3—364no—
1328C2×D3—368no—
1329C2×D3—364no—
1330C2×D3—364no—
1331C2×D3—368no—
1332C2×D3—721no—
1333C2×D3—721no—
1334C2×D3D3×#6712yescomplemented
1335C3×C4—32no—
1336C3×C4—32no—
1337C3×C4—62no—
1338C3×C4—62no—
1339C3×C4—61no—
1340C3×C4—61no—
1341C3×C4—61no—
1342C3×C4—61no—
1343C3×C4—121no—
1344C3×C4—181no—
1345C3×C4—181no—
1346C3×C4—181no—
1347Dic3—21no—
1348Dic3—21no—
1349Dic3—62no—
1350Dic3—61no—
1351Dic3—61no—
1352Dic3—61no—
1353Dic3—61no—
1354Dic3—61no—
1355Dic3—61no—
1356Dic3—92no—
1357Dic3—92no—
1358Dic3—92no—
1359Dic3—121no—
1360Dic3—121no—
1361Dic3—182no—
1362Dic3—182no—
1363Dic3—182no—
1364Dic3—362no—
1365Dic3D3×#6712yescomplemented
1366C32—21no—
1367C32—21no—
1368C32—21no—
1369C32—41no—
1370C32#559011yescharacteristic, complemented
1371C32#560911yescharacteristic, complemented
1372C32D4×#6711yescharacteristic, complemented
1373C23—31no—
1374C23—31no—
1375C23—31no—
1376C23—62no—
1377C23—62no—
1378C23—91no—
1379C23—91no—
1380C23—91no—
1381C23—121no—
1382C23—182no—
1383C23—182no—
1384C23—271no—
1385C23—361no—
1386C23—542no—
1387C23—542no—
1388C23—542no—
1389C23—542no—
1390C23—1081no—
1391C23—1081no—
1392C23D3311yescharacteristic
1393D4—62no—
1394D4—94no—
1395D4—182no—
1396D4—182no—
1397D4—182no—
1398D4—182no—
1399D4—182no—
1400D4—182no—
1401D4—274no—
1402D4—361no—
1403D4—542no—
1404D4—542no—
1405D4—542no—
1406D4—542no—
1407D4—542no—
1408D4—1081no—
1409C2×C4—31no—
1410C2×C4—31no—
1411C2×C4—31no—
1412C2×C4—62no—
1413C2×C4—91no—
1414C2×C4—91no—
1415C2×C4—91no—
1416C2×C4—271no—
1417C2×C4—542no—
1418C2×C4—542no—
1419C2×C4—542no—
1420C2×C3—22no—
1421C2×C3—22no—
1422C2×C3—22no—
1423C2×C3—21no—
1424C2×C3—21no—
1425C2×C3—21no—
1426C2×C3—21no—
1427C2×C3—21no—
1428C2×C3—21no—
1429C2×C3—21no—
1430C2×C3—21no—
1431C2×C3—21no—
1432C2×C3—42no—
1433C2×C3—42no—
1434C2×C3—42no—
1435C2×C3—41no—
1436C2×C3—41no—
1437C2×C3—41no—
1438C2×C3—64no—
1439C2×C3—62no—
1440C2×C3—62no—
1441C2×C3—82no—
1442C2×C3—122no—
1443C2×C3—122no—
1444C2×C3—121no—
1445C2×C3—121no—
1446C2×C3—121no—
1447C2×C3—121no—
1448C2×C3—182no—
1449C2×C3—361no—
1450C2×C3—361no—
1451C2×C3C2×#380211yescharacteristic
1452C2×C3#6430711yescharacteristic
1453C2×C3D32×D411yescharacteristic
1454C2×C3#6431411yescharacteristic
1455C2×C3C2×D3×#6711yescharacteristic
1456C2×C3C2×D3×#6711yescharacteristic
1457C2×C3C2×#381111yescharacteristic
1458C2×C3C2×#381111yescharacteristic
1459C2×C3#6433011yescharacteristic
1460D3—22no—
1461D3—41no—
1462D3—41no—
1463D3—64no—
1464D3—62no—
1465D3—62no—
1466D3—122no—
1467D3—122no—
1468D3—121no—
1469D3—121no—
1470D3—121no—
1471D3—121no—
1472D3—182no—
1473D3—182no—
1474D3—182no—
1475D3—362no—
1476D3—362no—
1477D3—362no—
1478D3—722no—
1479C22—21no—
1480C22—21no—
1481C22—32no—
1482C22—61no—
1483C22—61no—
1484C22—61no—
1485C22—61no—
1486C22—61no—
1487C22—61no—
1488C22—61no—
1489C22—61no—
1490C22—92no—
1491C22—124no—
1492C22—181no—
1493C22—181no—
1494C22—181no—
1495C22—181no—
1496C22—181no—
1497C22—181no—
1498C22—181no—
1499C22—181no—
1500C22—272no—
1501C22—364no—
1502C22—541no—
1503C22—541no—
1504C22—1084no—
1505C22—1084no—
1506C22#8895412yescomplemented
1507C22C2×D3311yescharacteristic
1508C4—32no—
1509C4—61no—
1510C4—61no—
1511C4—181no—
1512C4—181no—
1513C4—181no—
1514C4—272no—
1515C3—21no—
1516C3—21no—
1517C3—21no—
1518C3—41no—
1519C3#1059506911yescharacteristic, complemented
1520C3#1059529211yescharacteristic, complemented
1521C3#1059552611yescharacteristic, complemented
1522C2—22no—
1523C2—62no—
1524C2—121no—
1525C2—121no—
1526C2—182no—
1527C2—361no—
1528C2—361no—
1529C2—542no—
1530C2#1172441811yescharacteristic
1531C2C2×#8895411yescharacteristic
1532C2D32×#6711yescharacteristic
subgroupG/H
center, FrattiniC22C2×D33
commutator, socle, cosocleC22×C33C24
FittingC23×C33C23
hypercenterC23D33
hypocenterC33D42
LCSG ▷ C22×C33 ▷ C33
UCSC1 ◁ C22 ◁ C23

Complements

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

NH ≅ G/Ntype
1. C2×C3⋊D3×#67C2semidirect
2. C2×D3×#638C2semidirect
3. C22×C3×#626C2semidirect
4. C2×#88954C2semidirect
5. #11723727C2semidirect
6. #11723618C2semidirect
7. C3×#63978C2semidirect
8. C3×#63976C2semidirect
9. #11723029C2semidirect
10. #11722967C2semidirect
11. #11722963C2semidirect
12. #11722954C2semidirect
13. #11722950C2semidirect
14. #11722949C2semidirect
15. #11722929C2semidirect
19. C23×C3×C3⋊D3C22semidirect
20. C23×C32×D3C22semidirect
21. C22×D3×C3⋊D3C22semidirect
22. C22×D3×C3⋊D3C22semidirect
24. C2×C3×#638C22semidirect
25. C2×C32×#67C22semidirect
26. C22×C32×Dic3C22semidirect
27. C2×#6295C22semidirect
28. C2×#6295C22semidirect
31. C2×#6292C22semidirect
32. C2×#6291C22semidirect
33. C2×#6290C22semidirect
34. C2×#6290C22semidirect
35. C2×#6289C22semidirect
36. C2×Dic3×C3⋊D3C22semidirect
37. C2×D3×C3⋊Dic3C22semidirect
40. C2×C3×#626C22semidirect
41. C2×C3×#626C22semidirect
42. C2×C3×#626C22semidirect
43. C2×C3×#626C22semidirect
44. C2×C3×#625C22semidirect
45. C2×C3×#625C22semidirect
47. C3×#3757C22semidirect
48. #88814C22semidirect
49. #88814C22semidirect
50. #88806C22semidirect
51. #88804C22semidirect
52. Dic3×C3⋊Dic3C22semidirect
53. C3×Dic3⋊Dic3C22semidirect
54. C3×#3722C22semidirect
55. C3×(C2×D3)⋊Dic3C22semidirect
56. C3×(C2×D3)⋊Dic3C22semidirect
57. C3×(C2×D3)⋊Dic3C22semidirect
70. C22×#626D3semidirect
84. #63978D3semidirect
87. #63976D3semidirect
126. #6312D4semidirect
150. C3×#626D4semidirect
159. C23×C3⋊D3C2×D3semidirect
164. C23×C3×D3C2×D3semidirect
165. C23×C3×D3C2×D3semidirect
185. C2×#638C2×D3semidirect
205. C2×C3×#67C2×D3semidirect
206. C2×C3×#67C2×D3semidirect
208. C22×C3×Dic3C2×D3semidirect
209. C22×C3×Dic3C2×D3semidirect
236. C2×#626C2×D3semidirect
237. C2×#626C2×D3semidirect
238. C2×#626C2×D3semidirect
239. C2×#626C2×D3semidirect
248. C2×#625C2×D3semidirect
249. C2×#625C2×D3semidirect
260. #3757C2×D3semidirect
280. Dic3⋊Dic3C2×D3semidirect
286. #3722C2×D3semidirect
291. (C2×D3)⋊Dic3C2×D3semidirect
292. (C2×D3)⋊Dic3C2×D3semidirect
293. (C2×D3)⋊Dic3C2×D3semidirect
299. C22×C33C2×D4semidirect
303. C2×C3⋊(C3⋊D3)C2×D4semidirect
313. C2×C3×C3⋊D3C2×D4semidirect
323. C2×C32×D3C2×D4semidirect
326. C3⋊(C3⋊Dic3)C2×D4semidirect
332. C32×Dic3C2×D4semidirect
552. #626#67semidirect
599. C23×D3D32semidirect
655. C2×#67D32semidirect
660. C22×Dic3D32semidirect
757. C22×C32D3×D4semidirect
758. C22×C32D3×D4semidirect
759. C22×C32D3×D4semidirect
795. C2×C3⋊D3C2×#67semidirect
854. C2×C3×D3D3×D4semidirect
855. C2×C3×D3C2×#67semidirect
891. C3×Dic3D3×D4semidirect
892. C3×Dic3C2×#67semidirect
908. C33D42semidirect
1260. C22×C3#3802semidirect
1261. C22×C3#3811semidirect
1262. C22×C3#3811semidirect
1334. C2×D3D3×#67semidirect
1365. Dic3D3×#67semidirect
1370. C32#5590semidirect
1371. C32#5609semidirect
1372. C32D4×#67semidirect
1506. C22#88954semidirect
1519. C3#10595069semidirect
1520. C3#10595292semidirect
1521. C3#10595526semidirect

Maximal subgroups

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

subgroupindex
C2×C3⋊D3×#672
C2×D3×#6382
C22×C3×#6262
C2×#889542
#117237272
#117236182
C3×#639782
C3×#639762
#117230292
#117229672
#117229632
#117229542
#117229502
#117229492
#117229292
#105955263
#105952923
#105950693