Finite Group Databasebeta

← C3×#10595294 #13174782

Subgroups — C3×#10595294 #13174782

Order 1728.

1708 conjugacy classes of subgroups.

The subgroup lattice has 1330 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×D3×#67C211yesmaximal, characteristic, complemented
2C2×C3×#3804C211yesmaximal, characteristic, complemented
3C3×#64147C211yesmaximal, characteristic, complemented
4C32×#939C211yesmaximal, characteristic, complemented
5C32×#937C211yesmaximal, characteristic, complemented
6C3×#63983C211yesmaximal, characteristic, complemented
7C3×#63975C211yesmaximal, characteristic, complemented
8C3×Dic3×#67C211yesmaximal, characteristic, complemented
9C3×#63970C211yesmaximal, characteristic, complemented
10C3×D3×#217C211yesmaximal, characteristic, complemented
11C3×#63959C211yesmaximal, characteristic, complemented
12C3×#63921C211yesmaximal, characteristic, complemented
13C3×#63893C211yesmaximal, characteristic, complemented
14C3×#63891C211yesmaximal, characteristic, complemented
15C3×#63881C211yesmaximal, characteristic, complemented
16C3×#5612—31nomaximal
17C3×#5591—31nomaximal
18#10595294C311yesmaximal, characteristic, direct product factor
19C23×C32×D3C2211yescharacteristic
20C22×C3×D32C2211yescharacteristic
21C2×C33×D4C2211yescharacteristic, complemented
22C2×C3×#638C2211yescharacteristic
23C2×C3×#638C2211yescharacteristic, complemented
24C2×C3×C4×C3⋊D3C2211yescharacteristic, complemented
25C2×C32×#67C2211yescharacteristic
26C2×C32×#67C2211yescharacteristic
27C2×C32×#67C2211yescharacteristic, complemented
28C2×C32×#67C2211yescharacteristic, complemented
29C22×C32×Dic3C2211yescharacteristic, complemented
30C3×D3×#67—24no—
31C2×C3×#627C2211yescharacteristic, complemented
32C2×C3×#626C2211yescharacteristic
33C2×C3×#625C2211yescharacteristic
34C2×C3×#624C2211yescharacteristic, complemented
35C3×#3804—24no—
36C2×C3×D3×Dic3C2211yescharacteristic
37C2×C3×D3×Dic3C2211yescharacteristic, complemented
38C2×C3×D3×Dic3C2211yescharacteristic, complemented
39C3×#3757C2211yescharacteristic, complemented
40C3×#3757C2211yescharacteristic, complemented
41C3×C4⋊(C3⋊Dic3)C2211yescharacteristic, complemented
42C32×#217C2211yescharacteristic, complemented
43C32×#217C2211yescharacteristic, complemented
44C32×(C2×D3)⋊C4C2211yescharacteristic
45C32×(C2×D3)⋊C4C2211yescharacteristic, complemented
46C32×(C2×D3)⋊C4C2211yescharacteristic, complemented
47C32×Dic3⋊C4C2211yescharacteristic, complemented
48C3×Dic3⋊Dic3C2211yescharacteristic, complemented
49C3×Dic3⋊Dic3C2211yescharacteristic, complemented
50C3×#3722C2211yescharacteristic, complemented
51C3×(C2×D3)⋊Dic3C2211yescharacteristic
52C3×(C2×D3)⋊Dic3C2211yescharacteristic
53C3×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
54C3×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
55C3×Dic32C2211yescharacteristic, complemented
56C22×C3×#67—31no—
57C2×C3×#237—31no—
58C2×C3×D3×D4—31no—
59C2×C3×#235—31no—
60C2×D3×#67C2×C311yescharacteristic, complemented
61C2×#3804C2×C311yescharacteristic, complemented
62C32×#121—31no—
63C32×#120—31no—
64#64147C2×C311yescharacteristic, complemented
65C2×C3×#217—31no—
66C3×#939—21no—
67C3×#939—31no—
68C3×#939D311yescharacteristic, complemented
69C3×#939C2×C311yescharacteristic, complemented
70C3×#938—31no—
71C3×#938—31no—
72C3×#938—31no—
73C3×#938—61no—
74C3×#937—21no—
75C3×#937—31no—
76C3×#937—31no—
77C3×#937D311yescharacteristic, complemented
78C3×#937C2×C311yescharacteristic, complemented
79C3×#936—31no—
80C3×D4×Dic3—31no—
81C3×C4×#67—31no—
82C3×#897—31no—
83C3×#893—31no—
84C3×#886—31no—
85C3×#885—31no—
86C3×#883—31no—
87C3×#883—31no—
88C3×#883—31no—
89C3×#67⋊C4—31no—
90C3×D3×C22⋊C4—31no—
91C3×D3×C22⋊C4—31no—
92C3×D3×C22⋊C4—31no—
93C3×#878—31no—
94#63983C2×C311yescharacteristic, complemented
95#63975C2×C311yescharacteristic, complemented
96Dic3×#67C2×C311yescharacteristic, complemented
97#63970C2×C311yescharacteristic, complemented
98D3×#217C2×C311yescharacteristic, complemented
99#63959C2×C311yescharacteristic, complemented
100#63921C2×C311yescharacteristic, complemented
101#63893C2×C311yescharacteristic, complemented
102#63891C2×C311yescharacteristic, complemented
103#63881C2×C311yescharacteristic, complemented
104C23×C33C2311yescharacteristic
105C23×C33C2311yescharacteristic
106C22×C3×C3⋊D3C2311yescharacteristic
107C22×C32×D3—22no—
108C22×C32×D3—22no—
109C22×C32×D3—41no—
110C22×C32×D3C2311yescharacteristic
111C22×C32×D3C2311yescharacteristic
112C22×C32×D3C2311yescharacteristic
113C2×C3×D32—22no—
114C2×C3×D32—22no—
115C2×C3×D32—41no—
116C33×D4—41no—
117C2×C33×C4C2311yescharacteristic
118C3×#638—22no—
119C3×#638—22no—
120C2×C3×C3⋊Dic3C2311yescharacteristic
121C2×C3×C3⋊Dic3C2311yescharacteristic
122C2×C3×C3⋊Dic3C2311yescharacteristic
123C3×C4×C3⋊D3—41no—
124C32×#67—22no—
125C32×#67—22no—
126C32×#67—22no—
127C32×#67—41no—
128C2×C32×Dic3—22no—
129C2×C32×Dic3C2311yescharacteristic
130C2×C32×Dic3C2311yescharacteristic
131C2×C32×Dic3C2311yescharacteristic
132C2×C32×Dic3C2311yescharacteristic
133C2×C32×Dic3C2311yescharacteristic
134C3×#627—22no—
135C3×#626D414yescomplemented
136C3×#625—22no—
137C3×#624—22no—
138C3×D3×Dic3—22no—
139C3×D3×Dic3—22no—
140C3×D3×Dic3—41no—
141C3×#546—91no—
142#5612—31no—
143#5591—31no—
144C24×C32—31no—
145C23×C3×D3—21no—
146C23×C3×D3—31no—
147C23×C3×D3—31no—
148C23×C3×D3C2×D311yescharacteristic
149C23×C3×D3C22×C311yescharacteristic
150C22×D32C22×C311yescharacteristic
151C2×C32×D4—21no—
152C2×C32×D4—21no—
153C2×C32×D4—21no—
154C2×C32×D4—31no—
155C2×C32×D4—31no—
156C2×C32×D4—31no—
157C2×C32×D4—31no—
158C2×C32×D4—41no—
159C2×C32×D4C2×D311yescharacteristic, complemented
160C2×C32×D4C2×D311yescharacteristic, complemented
161C2×C32×D4C22×C311yescharacteristic, complemented
162C22×C32×C4—31no—
163C2×#638C22×C311yescharacteristic
164C2×#638C22×C311yescharacteristic, complemented
165C2×C4×C3⋊D3C22×C311yescharacteristic, complemented
166C2×C3×#67—21no—
167C2×C3×#67—21no—
168C2×C3×#67—21no—
169C2×C3×#67—21no—
170C2×C3×#67—31no—
171C2×C3×#67—31no—
172C2×C3×#67—31no—
173C2×C3×#67—31no—
174C2×C3×#67—31no—
175C2×C3×#67—31no—
176C2×C3×#67—31no—
177C2×C3×#67—64no—
178C2×C3×#67—61no—
179C2×C3×#67—61no—
180C2×C3×#67C2×D311yescharacteristic
181C2×C3×#67C2×D311yescharacteristic
182C2×C3×#67C2×D311yescharacteristic, complemented
183C2×C3×#67C2×D311yescharacteristic, complemented
184C2×C3×#67C22×C311yescharacteristic
185C2×C3×#67C22×C311yescharacteristic
186C2×C3×#67C22×C311yescharacteristic, complemented
187C2×C3×#67C22×C311yescharacteristic, complemented
188C22×C3×Dic3—21no—
189C22×C3×Dic3—31no—
190C22×C3×Dic3—31no—
191C22×C3×Dic3—31no—
192C22×C3×Dic3C2×D311yescharacteristic, complemented
193C22×C3×Dic3C22×C311yescharacteristic, complemented
194C3×#237—64no—
195C3×D3×D4—64no—
196C3×#235—64no—
197C2×C3×D12—31no—
198C2×C3×C4×D3—31no—
199C2×C3×C4×D3—31no—
200C2×C3×C4×D3—31no—
201C2×C3×C4×D3—31no—
202C2×C3×C4×D3—31no—
203C2×C3×C4×D3—31no—
204C2×C3×C4×D3—31no—
205C2×C3×C4×D3—61no—
206C2×C3×Dic6—31no—
207C2×C3×Dic6—31no—
208D3×#67—24no—
209C2×#627C22×C311yescharacteristic, complemented
210C2×#626C22×C311yescharacteristic
211C2×#625C22×C311yescharacteristic
212C2×#624C22×C311yescharacteristic, complemented
213#3804—24no—
214C2×D3×Dic3C22×C311yescharacteristic
215C2×D3×Dic3C22×C311yescharacteristic, complemented
216C2×D3×Dic3C22×C311yescharacteristic, complemented
217C32×C4⋊C4—31no—
218C32×C22⋊C4—31no—
219C32×C22⋊C4—31no—
220C32×C22⋊C4—31no—
221C32×C22⋊C4—31no—
222C32×C22⋊C4—31no—
223#3757C22×C311yescharacteristic, complemented
224#3757C22×C311yescharacteristic, complemented
225C4⋊(C3⋊Dic3)C22×C311yescharacteristic, complemented
226C3×#217—21no—
227C3×#217—21no—
228C3×#217—31no—
229C3×#217—31no—
230C3×#217—31no—
231C3×#217—31no—
232C3×#217—31no—
233C3×#217—31no—
234C3×#217—31no—
235C3×#217—31no—
236C3×#217—61no—
237C3×#217—61no—
238C3×#217C2×D311yescharacteristic, complemented
239C3×#217C2×D311yescharacteristic, complemented
240C3×#217C22×C311yescharacteristic, complemented
241C3×#217C22×C311yescharacteristic, complemented
242C3×(C2×D3)⋊C4—21no—
243C3×(C2×D3)⋊C4—21no—
244C3×(C2×D3)⋊C4—21no—
245C3×(C2×D3)⋊C4—31no—
246C3×(C2×D3)⋊C4—31no—
247C3×(C2×D3)⋊C4—31no—
248C3×(C2×D3)⋊C4—31no—
249C3×(C2×D3)⋊C4—31no—
250C3×(C2×D3)⋊C4—31no—
251C3×(C2×D3)⋊C4C2×D311yescharacteristic
252C3×(C2×D3)⋊C4C2×D311yescharacteristic, complemented
253C3×(C2×D3)⋊C4C2×D311yescharacteristic, complemented
254C3×(C2×D3)⋊C4C22×C311yescharacteristic
255C3×(C2×D3)⋊C4C22×C311yescharacteristic, complemented
256C3×(C2×D3)⋊C4C22×C311yescharacteristic, complemented
257C3×C4⋊Dic3—31no—
258C3×C4⋊Dic3—31no—
259C3×C4⋊Dic3—31no—
260C3×C4⋊Dic3—31no—
261C3×C4⋊Dic3—61no—
262C3×Dic3⋊C4—21no—
263C3×Dic3⋊C4—31no—
264C3×Dic3⋊C4—31no—
265C3×Dic3⋊C4C2×D311yescharacteristic, complemented
266C3×Dic3⋊C4C22×C311yescharacteristic, complemented
267C3×C4×Dic3—31no—
268C3×C4×Dic3—31no—
269Dic3⋊Dic3C22×C311yescharacteristic, complemented
270Dic3⋊Dic3C22×C311yescharacteristic, complemented
271#3722C22×C311yescharacteristic, complemented
272(C2×D3)⋊Dic3C22×C311yescharacteristic
273(C2×D3)⋊Dic3C22×C311yescharacteristic
274(C2×D3)⋊Dic3C22×C311yescharacteristic, complemented
275(C2×D3)⋊Dic3C22×C311yescharacteristic, complemented
276Dic32C22×C311yescharacteristic, complemented
277C22×C33—21no—
278C22×C33—21no—
279C22×C33—21no—
280C22×C33—21no—
281C22×C33—21no—
282C22×C33—21no—
283C22×C33C2411yescharacteristic
284C2×C3×C3⋊D3—21no—
285C2×C3×C3⋊D3—21no—
286C2×C3×C3⋊D3C2×D412yes—
287C2×C32×D3—21no—
288C2×C32×D3—21no—
289C2×C32×D3—21no—
290C2×C32×D3—21no—
291C2×C32×D3—21no—
292C2×C32×D3—21no—
293C2×C32×D3—21no—
294C2×C32×D3—44no—
295C2×C32×D3C2×D412yes—
296C2×C32×D3#4112yescomplemented
297C3×D32—44no—
298C33×C4—21no—
299C3×C3⋊Dic3—21no—
300C3×C3⋊Dic3—21no—
301C3×C3⋊Dic3—21no—
302C32×Dic3—21no—
303C32×Dic3—21no—
304C32×Dic3—21no—
305C32×Dic3—21no—
306C32×Dic3C2×D412yes—
307C2×C3×#41—91no—
308C22×C3×D4—91no—
309C22×#67—31no—
310C2×#237—31no—
311C2×D3×D4—31no—
312C2×#235—31no—
313C3×#124—91no—
314C3×#123—91no—
315C3×#123—91no—
316C3×C22⋊Q8—91no—
317C3×#121—31no—
318C3×#121—31no—
319C3×#121—61no—
320C3×#121—91no—
321C3×#121—91no—
322C3×#120—31no—
323C3×#120—31no—
324C3×#120—61no—
325C3×#120—91no—
326C3×C4×D4—91no—
327C3×C4×D4—91no—
328C2×C3×C22⋊C4—91no—
329C2×C3×C22⋊C4—91no—
330C2×#217—31no—
331#939—31no—
332#939C3×D311yescharacteristic, complemented
333#938—31no—
334#938—31no—
335#938—31no—
336#938—61no—
337#937—31no—
338#937—31no—
339#937C3×D311yescharacteristic, complemented
340#936—31no—
341D4×Dic3—31no—
342C4×#67—31no—
343#897—31no—
344#893—31no—
345#886—31no—
346#885—31no—
347#883—31no—
348#883—31no—
349#883—31no—
350#67⋊C4—31no—
351D3×C22⋊C4—31no—
352D3×C22⋊C4—31no—
353D3×C22⋊C4—31no—
354#878—31no—
355C23×C32—21no—
356C23×C32—21no—
357C23×C32—21no—
358C23×C32—21no—
359C23×C32—21no—
360C23×C32—21no—
361C23×C32—31no—
362C23×C32—31no—
363C23×C32—31no—
364C23×C32—41no—
365C23×C32—41no—
366C23×C32—62no—
367C23×C32—62no—
368C23×C32—121no—
369C23×C32C22×D311yescharacteristic
370C23×C32C22×D311yescharacteristic
371C23×C32C22×D311yescharacteristic
372C23×C32C22×D311yescharacteristic
373C23×C32C23×C311yescharacteristic
374C23×C32C23×C311yescharacteristic
375C22×C3⋊D3C23×C311yescharacteristic
376C22×C3×D3—22no—
377C22×C3×D3—22no—
378C22×C3×D3—22no—
379C22×C3×D3—22no—
380C22×C3×D3—21no—
381C22×C3×D3—21no—
382C22×C3×D3—21no—
383C22×C3×D3—31no—
384C22×C3×D3—31no—
385C22×C3×D3—42no—
386C22×C3×D3—42no—
387C22×C3×D3—41no—
388C22×C3×D3—41no—
389C22×C3×D3—42no—
390C22×C3×D3—61no—
391C22×C3×D3—62no—
392C22×C3×D3—62no—
393C22×C3×D3—62no—
394C22×C3×D3—62no—
395C22×C3×D3—121no—
396C22×C3×D3—121no—
397C22×C3×D3C22×D311yescharacteristic
398C22×C3×D3C22×D311yescharacteristic
399C22×C3×D3C22×D311yescharacteristic
400C22×C3×D3C23×C311yescharacteristic
401C22×C3×D3C23×C311yescharacteristic
402C22×C3×D3C23×C311yescharacteristic
403C2×D32—22no—
404C2×D32—22no—
405C2×D32—41no—
406C32×D4—41no—
407C32×D4—41no—
408C32×D4—41no—
409C32×D4—42no—
410C32×D4—42no—
411C32×D4—42no—
412C32×D4—44no—
413C32×D4—62no—
414C32×D4—62no—
415C32×D4—62no—
416C32×D4—121no—
417C2×C32×C4—21no—
418C2×C32×C4—21no—
419C2×C32×C4—21no—
420C2×C32×C4—31no—
421C2×C32×C4—31no—
422C2×C32×C4—31no—
423C2×C32×C4—31no—
424C2×C32×C4—31no—
425C2×C32×C4—41no—
426C2×C32×C4—62no—
427C2×C32×C4C22×D311yescharacteristic
428C2×C32×C4C22×D311yescharacteristic
429C2×C32×C4C23×C311yescharacteristic
430#638—22no—
431#638—22no—
432C2×C3⋊Dic3C23×C311yescharacteristic
433C2×C3⋊Dic3C23×C311yescharacteristic
434C2×C3⋊Dic3C23×C311yescharacteristic
435C4×C3⋊D3—41no—
436C3×#67—22no—
437C3×#67—22no—
438C3×#67—22no—
439C3×#67—22no—
440C3×#67—22no—
441C3×#67—22no—
442C3×#67—34no—
443C3×#67—42no—
444C3×#67—42no—
445C3×#67—42no—
446C3×#67—41no—
447C3×#67—41no—
448C3×#67—42no—
449C3×#67—62no—
450C3×#67—62no—
451C3×#67—62no—
452C3×#67—62no—
453C3×#67—62no—
454C3×#67—62no—
455C3×#67—122no—
456C3×#67—122no—
457C2×C3×Dic3—22no—
458C2×C3×Dic3—22no—
459C2×C3×Dic3—21no—
460C2×C3×Dic3—21no—
461C2×C3×Dic3—21no—
462C2×C3×Dic3—21no—
463C2×C3×Dic3—21no—
464C2×C3×Dic3—31no—
465C2×C3×Dic3—31no—
466C2×C3×Dic3—31no—
467C2×C3×Dic3—31no—
468C2×C3×Dic3—31no—
469C2×C3×Dic3—31no—
470C2×C3×Dic3—42no—
471C2×C3×Dic3—61no—
472C2×C3×Dic3—61no—
473C2×C3×Dic3—61no—
474C2×C3×Dic3—62no—
475C2×C3×Dic3—62no—
476C2×C3×Dic3—121no—
477C2×C3×Dic3C22×D311yescharacteristic
478C2×C3×Dic3C22×D311yescharacteristic
479C2×C3×Dic3C22×D311yescharacteristic
480C2×C3×Dic3C22×D311yescharacteristic
481C2×C3×Dic3C22×D311yescharacteristic
482C2×C3×Dic3C23×C311yescharacteristic
483C2×C3×Dic3C23×C311yescharacteristic
484C2×C3×Dic3C23×C311yescharacteristic
485C2×C3×Dic3C23×C311yescharacteristic
486C2×C3×Dic3C23×C311yescharacteristic
487C3×D12—34no—
488C3×C4×D3—62no—
489C3×C4×D3—62no—
490C3×C4×D3—62no—
491C3×C4×D3—62no—
492C3×C4×D3—121no—
493C3×C4×D3—121no—
494C3×C4×D3—121no—
495C3×C4×D3—122no—
496C3×Dic6—62no—
497C3×Dic6—62no—
498#627—22no—
499#626C3×D414yescomplemented
500#625—22no—
501#624—22no—
502D3×Dic3—22no—
503D3×Dic3—22no—
504D3×Dic3—41no—
505#546—91noSylow
506C2×C33—41no—
507C2×C33—41no—
508C2×C33C22×D411yescharacteristic
509C2×C33C2×#4111yescharacteristic
510C2×C33H(5,𝔽2)11yescharacteristic
511C3×C3⋊D3—22no—
512C32×D3—22no—
513C32×D3—22no—
514C32×D3—41no—
515C24×C3—31no—
516C24×C3—31no—
517C24×C3—61no—
518C24×C3—91no—
519C23×D3—31no—
520C23×D3—31no—
521C23×D3C2×C3×D311yescharacteristic
522C3×#41—184no—
523C2×C3×Q8—91no—
524C2×C3×D4—21no—
525C2×C3×D4—21no—
526C2×C3×D4—21no—
527C2×C3×D4—31no—
528C2×C3×D4—31no—
529C2×C3×D4—31no—
530C2×C3×D4—31no—
531C2×C3×D4—31no—
532C2×C3×D4—31no—
533C2×C3×D4—31no—
534C2×C3×D4—31no—
535C2×C3×D4—41no—
536C2×C3×D4—61no—
537C2×C3×D4—61no—
538C2×C3×D4—61no—
539C2×C3×D4—61no—
540C2×C3×D4—91no—
541C2×C3×D4—91no—
542C2×C3×D4—91no—
543C2×C3×D4—91no—
544C2×C3×D4—184no—
545C2×C3×D4D3211yescharacteristic, complemented
546C2×C3×D4C2×C3×D311yescharacteristic, complemented
547C2×C3×D4C2×C3×D311yescharacteristic, complemented
548C22×C3×C4—31no—
549C22×C3×C4—31no—
550C22×C3×C4—61no—
551C22×C3×C4—91no—
552C22×C3×C4—91no—
553C22×C3×C4—91no—
554C22×C3×C4—91no—
555C22×C3×C4—91no—
556C2×#67—31no—
557C2×#67—31no—
558C2×#67—31no—
559C2×#67—31no—
560C2×#67—31no—
561C2×#67—31no—
562C2×#67—31no—
563C2×#67—61no—
564C2×#67—61no—
565C2×#67—64no—
566C2×#67C2×C3×D311yescharacteristic
567C2×#67C2×C3×D311yescharacteristic
568C2×#67C2×C3×D311yescharacteristic, complemented
569C2×#67C2×C3×D311yescharacteristic, complemented
570C22×Dic3—31no—
571C22×Dic3—31no—
572C22×Dic3—31no—
573C22×Dic3C2×C3×D311yescharacteristic, complemented
574#237—64no—
575D3×D4—64no—
576#235—64no—
577C2×D12—31no—
578C2×C4×D3—31no—
579C2×C4×D3—31no—
580C2×C4×D3—31no—
581C2×C4×D3—31no—
582C2×C4×D3—31no—
583C2×C4×D3—31no—
584C2×C4×D3—31no—
585C2×C4×D3—61no—
586C2×Dic6—31no—
587C2×Dic6—31no—
588C3×C4⋊C4—31no—
589C3×C4⋊C4—31no—
590C3×C4⋊C4—61no—
591C3×C4⋊C4—91no—
592C3×C4⋊C4—91no—
593C3×C4⋊C4—91no—
594C3×C22⋊C4—31no—
595C3×C22⋊C4—31no—
596C3×C22⋊C4—31no—
597C3×C22⋊C4—31no—
598C3×C22⋊C4—31no—
599C3×C22⋊C4—31no—
600C3×C22⋊C4—31no—
601C3×C22⋊C4—31no—
602C3×C22⋊C4—31no—
603C3×C22⋊C4—31no—
604C3×C22⋊C4—61no—
605C3×C22⋊C4—61no—
606C3×C22⋊C4—61no—
607C3×C22⋊C4—61no—
608C3×C22⋊C4—61no—
609C3×C22⋊C4—91no—
610C3×C22⋊C4—91no—
611C3×C22⋊C4—91no—
612C3×C22⋊C4—91no—
613C3×C22⋊C4—91no—
614C3×C22⋊C4—91no—
615C3×C22⋊C4—91no—
616C3×C42—91no—
617#217—31no—
618#217—31no—
619#217—31no—
620#217—31no—
621#217—31no—
622#217—31no—
623#217—31no—
624#217—31no—
625#217—61no—
626#217—61no—
627#217C2×C3×D311yescharacteristic, complemented
628#217C2×C3×D311yescharacteristic, complemented
629(C2×D3)⋊C4—31no—
630(C2×D3)⋊C4—31no—
631(C2×D3)⋊C4—31no—
632(C2×D3)⋊C4—31no—
633(C2×D3)⋊C4—31no—
634(C2×D3)⋊C4—31no—
635(C2×D3)⋊C4C2×C3×D311yescharacteristic
636(C2×D3)⋊C4C2×C3×D311yescharacteristic, complemented
637(C2×D3)⋊C4C2×C3×D311yescharacteristic, complemented
638C4⋊Dic3—31no—
639C4⋊Dic3—31no—
640C4⋊Dic3—31no—
641C4⋊Dic3—31no—
642C4⋊Dic3—61no—
643Dic3⋊C4—31no—
644Dic3⋊C4—31no—
645Dic3⋊C4C2×C3×D311yescharacteristic, complemented
646C4×Dic3—31no—
647C4×Dic3—31no—
648C22×C32—21no—
649C22×C32—21no—
650C22×C32—22no—
651C22×C32—22no—
652C22×C32—21no—
653C22×C32—21no—
654C22×C32—21no—
655C22×C32—21no—
656C22×C32—21no—
657C22×C32—21no—
658C22×C32—21no—
659C22×C32—21no—
660C22×C32—21no—
661C22×C32—21no—
662C22×C32—21no—
663C22×C32—21no—
664C22×C32—21no—
665C22×C32—21no—
666C22×C32—21no—
667C22×C32—21no—
668C22×C32—21no—
669C22×C32—21no—
670C22×C32—21no—
671C22×C32—32no—
672C22×C32—32no—
673C22×C32—41no—
674C22×C32—41no—
675C22×C32—41no—
676C22×C32—41no—
677C22×C32—41no—
678C22×C32—42no—
679C22×C32—42no—
680C22×C32—41no—
681C22×C32—41no—
682C22×C32—41no—
683C22×C32—41no—
684C22×C32—41no—
685C22×C32—41no—
686C22×C32—41no—
687C22×C32—41no—
688C22×C32—41no—
689C22×C32—41no—
690C22×C32—41no—
691C22×C32—41no—
692C22×C32—61no—
693C22×C32—61no—
694C22×C32—61no—
695C22×C32—61no—
696C22×C32—61no—
697C22×C32—61no—
698C22×C32—61no—
699C22×C32—81no—
700C22×C32—81no—
701C22×C32—81no—
702C22×C32—81no—
703C22×C32—124no—
704C22×C32C23×D311yescharacteristic
705C22×C32C23×D311yescharacteristic
706C22×C32C24×C311yescharacteristic
707C2×C3⋊D3—21no—
708C2×C3⋊D3—21no—
709C2×C3⋊D3C2×C3×D412yes—
710C2×C3×D3—21no—
711C2×C3×D3—21no—
712C2×C3×D3—21no—
713C2×C3×D3—21no—
714C2×C3×D3—21no—
715C2×C3×D3—21no—
716C2×C3×D3—21no—
717C2×C3×D3—21no—
718C2×C3×D3—21no—
719C2×C3×D3—21no—
720C2×C3×D3—21no—
721C2×C3×D3—21no—
722C2×C3×D3—21no—
723C2×C3×D3—21no—
724C2×C3×D3—22no—
725C2×C3×D3—22no—
726C2×C3×D3—32no—
727C2×C3×D3—32no—
728C2×C3×D3—41no—
729C2×C3×D3—41no—
730C2×C3×D3—41no—
731C2×C3×D3—41no—
732C2×C3×D3—41no—
733C2×C3×D3—41no—
734C2×C3×D3—41no—
735C2×C3×D3—44no—
736C2×C3×D3—44no—
737C2×C3×D3—48no—
738C2×C3×D3—62no—
739C2×C3×D3—61no—
740C2×C3×D3—61no—
741C2×C3×D3—61no—
742C2×C3×D3—61no—
743C2×C3×D3—121no—
744C2×C3×D3—121no—
745C2×C3×D3—124no—
746C2×C3×D3—124no—
747C2×C3×D3D3×D412yes—
748C2×C3×D3#23712yescomplemented
749C2×C3×D3C2×C3×D412yes—
750C2×C3×D3C3×#4112yescomplemented
751D32—44no—
752C32×C4—21no—
753C32×C4—22no—
754C32×C4—21no—
755C32×C4—21no—
756C32×C4—32no—
757C32×C4—41no—
758C32×C4—41no—
759C32×C4—42no—
760C32×C4—61no—
761C32×C4—61no—
762C32×C4—61no—
763C32×C4—61no—
764C3⋊Dic3—21no—
765C3⋊Dic3—21no—
766C3⋊Dic3—21no—
767C3×Dic3—21no—
768C3×Dic3—21no—
769C3×Dic3—21no—
770C3×Dic3—21no—
771C3×Dic3—21no—
772C3×Dic3—21no—
773C3×Dic3—21no—
774C3×Dic3—21no—
775C3×Dic3—22no—
776C3×Dic3—41no—
777C3×Dic3—41no—
778C3×Dic3—41no—
779C3×Dic3—41no—
780C3×Dic3—61no—
781C3×Dic3—61no—
782C3×Dic3—61no—
783C3×Dic3—61no—
784C3×Dic3—61no—
785C3×Dic3—61no—
786C3×Dic3—121no—
787C3×Dic3—121no—
788C3×Dic3—121no—
789C3×Dic3D3×D412yes—
790C3×Dic3C2×C3×D412yes—
791C2×#41—91no—
792C22×D4—91no—
793#124—91no—
794#123—91no—
795#123—91no—
796C22⋊Q8—91no—
797#121—31no—
798#121—91no—
799#121—91no—
800#120—31no—
801#120—91no—
802C4×D4—91no—
803C4×D4—91no—
804C2×C22⋊C4—91no—
805C2×C22⋊C4—91no—
806C33#54611yescharacteristic, complemented, Sylow
807C23×C3—21no—
808C23×C3—21no—
809C23×C3—21no—
810C23×C3—21no—
811C23×C3—21no—
812C23×C3—21no—
813C23×C3—31no—
814C23×C3—31no—
815C23×C3—31no—
816C23×C3—31no—
817C23×C3—31no—
818C23×C3—31no—
819C23×C3—41no—
820C23×C3—41no—
821C23×C3—61no—
822C23×C3—61no—
823C23×C3—61no—
824C23×C3—62no—
825C23×C3—62no—
826C23×C3—62no—
827C23×C3—62no—
828C23×C3—91no—
829C23×C3—122no—
830C23×C3—122no—
831C23×C3—121no—
832C23×C3—121no—
833C23×C3—122no—
834C23×C3—182no—
835C23×C3—182no—
836C23×C3—361no—
837C23×C3C2×D3211yescharacteristic
838C23×C3C2×D3211yescharacteristic
839C23×C3C22×C3×D311yescharacteristic
840C23×C3C22×C3×D311yescharacteristic
841C23×C3C22×C3×D311yescharacteristic
842C23×C3C22×C3×D311yescharacteristic
843C22×D3—22no—
844C22×D3—22no—
845C22×D3—31no—
846C22×D3—31no—
847C22×D3—41no—
848C22×D3—61no—
849C22×D3—62no—
850C22×D3—62no—
851C22×D3—62no—
852C22×D3—62no—
853C22×D3—121no—
854C22×D3—121no—
855C22×D3C22×C3×D311yescharacteristic
856C22×D3C22×C3×D311yescharacteristic
857C22×D3C22×C3×D311yescharacteristic
858C3×Q8—182no—
859C3×D4—41no—
860C3×D4—41no—
861C3×D4—41no—
862C3×D4—42no—
863C3×D4—42no—
864C3×D4—42no—
865C3×D4—44no—
866C3×D4—62no—
867C3×D4—62no—
868C3×D4—62no—
869C3×D4—62no—
870C3×D4—62no—
871C3×D4—62no—
872C3×D4—94no—
873C3×D4—122no—
874C3×D4—122no—
875C3×D4—122no—
876C3×D4—121no—
877C3×D4—121no—
878C3×D4—122no—
879C3×D4—182no—
880C3×D4—182no—
881C3×D4—182no—
882C2×C3×C4—21no—
883C2×C3×C4—21no—
884C2×C3×C4—21no—
885C2×C3×C4—31no—
886C2×C3×C4—31no—
887C2×C3×C4—31no—
888C2×C3×C4—31no—
889C2×C3×C4—31no—
890C2×C3×C4—31no—
891C2×C3×C4—31no—
892C2×C3×C4—31no—
893C2×C3×C4—31no—
894C2×C3×C4—31no—
895C2×C3×C4—41no—
896C2×C3×C4—61no—
897C2×C3×C4—61no—
898C2×C3×C4—61no—
899C2×C3×C4—61no—
900C2×C3×C4—61no—
901C2×C3×C4—62no—
902C2×C3×C4—62no—
903C2×C3×C4—91no—
904C2×C3×C4—91no—
905C2×C3×C4—91no—
906C2×C3×C4—122no—
907C2×C3×C4—182no—
908C2×C3×C4—182no—
909C2×C3×C4—182no—
910C2×C3×C4—361no—
911C2×C3×C4—361no—
912C2×C3×C4C2×D3211yescharacteristic
913C2×C3×C4C22×C3×D311yescharacteristic
914C2×C3×C4C22×C3×D311yescharacteristic
915#67—22no—
916#67—22no—
917#67—22no—
918#67—34no—
919#67—41no—
920#67—62no—
921#67—62no—
922#67—62no—
923#67—62no—
924#67—62no—
925#67—62no—
926#67—122no—
927#67—122no—
928C2×Dic3—22no—
929C2×Dic3—31no—
930C2×Dic3—31no—
931C2×Dic3—31no—
932C2×Dic3—31no—
933C2×Dic3—31no—
934C2×Dic3—31no—
935C2×Dic3—61no—
936C2×Dic3—61no—
937C2×Dic3—61no—
938C2×Dic3—62no—
939C2×Dic3—62no—
940C2×Dic3—121no—
941C2×Dic3C22×C3×D311yescharacteristic
942C2×Dic3C22×C3×D311yescharacteristic
943C2×Dic3C22×C3×D311yescharacteristic
944C2×Dic3C22×C3×D311yescharacteristic
945C2×Dic3C22×C3×D311yescharacteristic
946D12—34no—
947C4×D3—62no—
948C4×D3—62no—
949C4×D3—62no—
950C4×D3—62no—
951C4×D3—121no—
952C4×D3—121no—
953C4×D3—121no—
954C4×D3—122no—
955Dic6—62no—
956Dic6—62no—
957C2×C32—21no—
958C2×C32—21no—
959C2×C32—21no—
960C2×C32—21no—
961C2×C32—21no—
962C2×C32—21no—
963C2×C32—21no—
964C2×C32—21no—
965C2×C32—21no—
966C2×C32—41no—
967C2×C32—41no—
968C2×C32—41no—
969C2×C32—41no—
970C2×C32—41no—
971C2×C32—42no—
972C2×C32—42no—
973C2×C32—41no—
974C2×C32—41no—
975C2×C32—41no—
976C2×C32—41no—
977C2×C32—62no—
978C2×C32—62no—
979C2×C32—81no—
980C2×C32—81no—
981C2×C32—81no—
982C2×C32—81no—
983C2×C32—82no—
984C2×C32—82no—
985C2×C32—121no—
986C2×C32C2×D3×D411yescharacteristic
987C2×C32C2×D3×D411yescharacteristic
988C2×C32C2×#23711yescharacteristic
989C2×C32#100411yescharacteristic
990C2×C32#100411yescharacteristic
991C2×C32D3×#4111yescharacteristic
992C2×C32C22×C3×D411yescharacteristic
993C2×C32C2×C3×#4111yescharacteristic
994C2×C32C3×H(5,𝔽2)11yescharacteristic
995C3⋊D3—22no—
996C3×D3—22no—
997C3×D3—22no—
998C3×D3—22no—
999C3×D3—22no—
1000C3×D3—42no—
1001C3×D3—42no—
1002C3×D3—41no—
1003C3×D3—41no—
1004C3×D3—62no—
1005C3×D3—62no—
1006C3×D3—81no—
1007C3×D3—122no—
1008C24—31no—
1009C24—91no—
1010#41—184no—
1011C2×Q8—91no—
1012C2×D4—31no—
1013C2×D4—31no—
1014C2×D4—31no—
1015C2×D4—31no—
1016C2×D4—91no—
1017C2×D4—91no—
1018C2×D4—91no—
1019C2×D4—91no—
1020C2×D4—184no—
1021C2×D4C3×D3211yescharacteristic, complemented
1022C22×C4—31no—
1023C22×C4—91no—
1024C22×C4—91no—
1025C22×C4—91no—
1026C22×C4—91no—
1027C22×C4—91no—
1028C4⋊C4—31no—
1029C4⋊C4—91no—
1030C4⋊C4—91no—
1031C4⋊C4—91no—
1032C22⋊C4—31no—
1033C22⋊C4—31no—
1034C22⋊C4—31no—
1035C22⋊C4—31no—
1036C22⋊C4—31no—
1037C22⋊C4—91no—
1038C22⋊C4—91no—
1039C22⋊C4—91no—
1040C22⋊C4—91no—
1041C22⋊C4—91no—
1042C22⋊C4—91no—
1043C22⋊C4—91no—
1044C42—91no—
1045C22×C3—22no—
1046C22×C3—22no—
1047C22×C3—21no—
1048C22×C3—21no—
1049C22×C3—21no—
1050C22×C3—21no—
1051C22×C3—21no—
1052C22×C3—21no—
1053C22×C3—21no—
1054C22×C3—21no—
1055C22×C3—21no—
1056C22×C3—21no—
1057C22×C3—21no—
1058C22×C3—21no—
1059C22×C3—21no—
1060C22×C3—21no—
1061C22×C3—21no—
1062C22×C3—21no—
1063C22×C3—21no—
1064C22×C3—21no—
1065C22×C3—21no—
1066C22×C3—21no—
1067C22×C3—21no—
1068C22×C3—32no—
1069C22×C3—32no—
1070C22×C3—32no—
1071C22×C3—32no—
1072C22×C3—41no—
1073C22×C3—41no—
1074C22×C3—41no—
1075C22×C3—41no—
1076C22×C3—41no—
1077C22×C3—41no—
1078C22×C3—41no—
1079C22×C3—41no—
1080C22×C3—41no—
1081C22×C3—41no—
1082C22×C3—41no—
1083C22×C3—41no—
1084C22×C3—41no—
1085C22×C3—41no—
1086C22×C3—41no—
1087C22×C3—41no—
1088C22×C3—42no—
1089C22×C3—42no—
1090C22×C3—41no—
1091C22×C3—62no—
1092C22×C3—62no—
1093C22×C3—61no—
1094C22×C3—61no—
1095C22×C3—61no—
1096C22×C3—61no—
1097C22×C3—61no—
1098C22×C3—61no—
1099C22×C3—61no—
1100C22×C3—61no—
1101C22×C3—61no—
1102C22×C3—61no—
1103C22×C3—61no—
1104C22×C3—61no—
1105C22×C3—61no—
1106C22×C3—61no—
1107C22×C3—81no—
1108C22×C3—81no—
1109C22×C3—81no—
1110C22×C3—81no—
1111C22×C3—92no—
1112C22×C3—121no—
1113C22×C3—121no—
1114C22×C3—121no—
1115C22×C3—121no—
1116C22×C3—121no—
1117C22×C3—121no—
1118C22×C3—121no—
1119C22×C3—124no—
1120C22×C3—124no—
1121C22×C3—128no—
1122C22×C3—181no—
1123C22×C3—181no—
1124C22×C3—364no—
1125C22×C3C22×D3211yescharacteristic
1126C22×C3C23×C3×D311yescharacteristic
1127C22×C3C23×C3×D311yescharacteristic
1128C2×D3—21no—
1129C2×D3—21no—
1130C2×D3—21no—
1131C2×D3—21no—
1132C2×D3—21no—
1133C2×D3—21no—
1134C2×D3—21no—
1135C2×D3—32no—
1136C2×D3—32no—
1137C2×D3—44no—
1138C2×D3—62no—
1139C2×D3—61no—
1140C2×D3—61no—
1141C2×D3—61no—
1142C2×D3—61no—
1143C2×D3—121no—
1144C2×D3—121no—
1145C2×D3—124no—
1146C2×D3—124no—
1147C2×D3C3×D3×D412yes—
1148C2×D3C3×#23712yescomplemented
1149C3×C4—22no—
1150C3×C4—21no—
1151C3×C4—21no—
1152C3×C4—21no—
1153C3×C4—32no—
1154C3×C4—32no—
1155C3×C4—41no—
1156C3×C4—41no—
1157C3×C4—42no—
1158C3×C4—62no—
1159C3×C4—61no—
1160C3×C4—61no—
1161C3×C4—61no—
1162C3×C4—61no—
1163C3×C4—61no—
1164C3×C4—61no—
1165C3×C4—61no—
1166C3×C4—61no—
1167C3×C4—121no—
1168C3×C4—121no—
1169C3×C4—121no—
1170C3×C4—121no—
1171C3×C4—181no—
1172C3×C4—181no—
1173C3×C4—181no—
1174Dic3—21no—
1175Dic3—21no—
1176Dic3—21no—
1177Dic3—21no—
1178Dic3—61no—
1179Dic3—61no—
1180Dic3—61no—
1181Dic3—61no—
1182Dic3—61no—
1183Dic3—61no—
1184Dic3—121no—
1185Dic3—121no—
1186Dic3—121no—
1187Dic3C3×D3×D412yes—
1188C32—21no—
1189C32—21no—
1190C32—21no—
1191C32—41no—
1192C32#559111yescharacteristic, complemented
1193C32#561211yescharacteristic, complemented
1194C32C3×#54611yescharacteristic, complemented
1195C23—31no—
1196C23—31no—
1197C23—31no—
1198C23—62no—
1199C23—62no—
1200C23—91no—
1201C23—121no—
1202C23—182no—
1203C23—182no—
1204C23—361no—
1205C23C2×C3×D3211yescharacteristic
1206C23C2×C3×D3211yescharacteristic
1207Q8—182no—
1208D4—41no—
1209D4—62no—
1210D4—62no—
1211D4—62no—
1212D4—94no—
1213D4—121no—
1214D4—182no—
1215D4—182no—
1216D4—182no—
1217C2×C4—31no—
1218C2×C4—31no—
1219C2×C4—31no—
1220C2×C4—31no—
1221C2×C4—31no—
1222C2×C4—62no—
1223C2×C4—91no—
1224C2×C4—91no—
1225C2×C4—91no—
1226C2×C4—182no—
1227C2×C4—182no—
1228C2×C4—182no—
1229C2×C4—361no—
1230C2×C4—361no—
1231C2×C4C2×C3×D3211yescharacteristic
1232C2×C3—21no—
1233C2×C3—21no—
1234C2×C3—21no—
1235C2×C3—21no—
1236C2×C3—21no—
1237C2×C3—21no—
1238C2×C3—21no—
1239C2×C3—21no—
1240C2×C3—21no—
1241C2×C3—42no—
1242C2×C3—42no—
1243C2×C3—41no—
1244C2×C3—41no—
1245C2×C3—41no—
1246C2×C3—41no—
1247C2×C3—41no—
1248C2×C3—41no—
1249C2×C3—41no—
1250C2×C3—41no—
1251C2×C3—41no—
1252C2×C3—62no—
1253C2×C3—62no—
1254C2×C3—62no—
1255C2×C3—62no—
1256C2×C3—81no—
1257C2×C3—81no—
1258C2×C3—81no—
1259C2×C3—81no—
1260C2×C3—82no—
1261C2×C3—82no—
1262C2×C3—122no—
1263C2×C3—122no—
1264C2×C3—121no—
1265C2×C3—121no—
1266C2×C3—182no—
1267C2×C3—241no—
1268C2×C3D32×D411yescharacteristic
1269C2×C3D3×#23711yescharacteristic
1270C2×C3#6433011yescharacteristic
1271C2×C3C2×C3×D3×D411yescharacteristic
1272C2×C3C2×C3×D3×D411yescharacteristic
1273C2×C3C2×C3×#23711yescharacteristic
1274C2×C3C3×#100411yescharacteristic
1275C2×C3C3×#100411yescharacteristic
1276C2×C3C3×D3×#4111yescharacteristic
1277D3—22no—
1278D3—22no—
1279D3—41no—
1280D3—62no—
1281D3—62no—
1282D3—122no—
1283C22—21no—
1284C22—21no—
1285C22—21no—
1286C22—21no—
1287C22—21no—
1288C22—21no—
1289C22—32no—
1290C22—32no—
1291C22—61no—
1292C22—61no—
1293C22—61no—
1294C22—61no—
1295C22—61no—
1296C22—61no—
1297C22—61no—
1298C22—92no—
1299C22—124no—
1300C22—181no—
1301C22—181no—
1302C22—364no—
1303C22C22×C3×D3211yescharacteristic
1304C4—21no—
1305C4—32no—
1306C4—61no—
1307C4—61no—
1308C4—61no—
1309C4—61no—
1310C4—181no—
1311C4—181no—
1312C4—181no—
1313C3—21no—
1314C3—21no—
1315C3—21no—
1316C3—41no—
1317C3#1059529411yescharacteristic, direct product factor
1318C3C3×#559111yescharacteristic, complemented
1319C3C3×#561211yescharacteristic, complemented
1320C2—41no—
1321C2—41no—
1322C2—62no—
1323C2—62no—
1324C2—121no—
1325C2—182no—
1326C2C3×D32×D411yescharacteristic
1327C2C3×D3×#23711yescharacteristic
1328C2C3×#6433011yescharacteristic
subgroupG/H
centerC22×C3C22×D32
commutator, cosocleC22×C32C24×C3
FrattiniC22C22×C3×D32
FittingC2×C33×D4C22
socleC22×C33C24
hypercenterC2×C3×D4D32
hypocenterC32C3×#546
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22×C3 ◁ C2×C3×D4

Complements

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

NH ≅ G/Ntype
1. C2×C3×D3×#67C2semidirect
2. C2×C3×#3804C2semidirect
3. C3×#64147C2semidirect
4. C32×#939C2semidirect
5. C32×#937C2semidirect
6. C3×#63983C2semidirect
7. C3×#63975C2semidirect
8. C3×Dic3×#67C2semidirect
9. C3×#63970C2semidirect
10. C3×D3×#217C2semidirect
11. C3×#63959C2semidirect
12. C3×#63921C2semidirect
13. C3×#63893C2semidirect
14. C3×#63891C2semidirect
15. C3×#63881C2semidirect
18. #10595294C3direct (N × H)
21. C2×C33×D4C22semidirect
23. C2×C3×#638C22semidirect
24. C2×C3×C4×C3⋊D3C22semidirect
27. C2×C32×#67C22semidirect
28. C2×C32×#67C22semidirect
29. C22×C32×Dic3C22semidirect
31. C2×C3×#627C22semidirect
34. C2×C3×#624C22semidirect
37. C2×C3×D3×Dic3C22semidirect
38. C2×C3×D3×Dic3C22semidirect
39. C3×#3757C22semidirect
40. C3×#3757C22semidirect
41. C3×C4⋊(C3⋊Dic3)C22semidirect
42. C32×#217C22semidirect
43. C32×#217C22semidirect
45. C32×(C2×D3)⋊C4C22semidirect
46. C32×(C2×D3)⋊C4C22semidirect
47. C32×Dic3⋊C4C22semidirect
48. C3×Dic3⋊Dic3C22semidirect
49. C3×Dic3⋊Dic3C22semidirect
50. C3×#3722C22semidirect
53. C3×(C2×D3)⋊Dic3C22semidirect
54. C3×(C2×D3)⋊Dic3C22semidirect
55. C3×Dic32C22semidirect
60. C2×D3×#67C2×C3semidirect
61. C2×#3804C2×C3semidirect
64. #64147C2×C3semidirect
68. C3×#939D3semidirect
69. C3×#939C2×C3semidirect
77. C3×#937D3semidirect
78. C3×#937C2×C3semidirect
94. #63983C2×C3semidirect
95. #63975C2×C3semidirect
96. Dic3×#67C2×C3semidirect
97. #63970C2×C3semidirect
98. D3×#217C2×C3semidirect
99. #63959C2×C3semidirect
100. #63921C2×C3semidirect
101. #63893C2×C3semidirect
102. #63891C2×C3semidirect
103. #63881C2×C3semidirect
135. C3×#626D4semidirect
159. C2×C32×D4C2×D3semidirect
160. C2×C32×D4C2×D3semidirect
161. C2×C32×D4C22×C3semidirect
164. C2×#638C22×C3semidirect
165. C2×C4×C3⋊D3C22×C3semidirect
182. C2×C3×#67C2×D3semidirect
183. C2×C3×#67C2×D3semidirect
186. C2×C3×#67C22×C3semidirect
187. C2×C3×#67C22×C3semidirect
192. C22×C3×Dic3C2×D3semidirect
193. C22×C3×Dic3C22×C3semidirect
209. C2×#627C22×C3semidirect
212. C2×#624C22×C3semidirect
215. C2×D3×Dic3C22×C3semidirect
216. C2×D3×Dic3C22×C3semidirect
223. #3757C22×C3semidirect
224. #3757C22×C3semidirect
225. C4⋊(C3⋊Dic3)C22×C3semidirect
238. C3×#217C2×D3semidirect
239. C3×#217C2×D3semidirect
240. C3×#217C22×C3semidirect
241. C3×#217C22×C3semidirect
252. C3×(C2×D3)⋊C4C2×D3semidirect
253. C3×(C2×D3)⋊C4C2×D3semidirect
255. C3×(C2×D3)⋊C4C22×C3semidirect
256. C3×(C2×D3)⋊C4C22×C3semidirect
265. C3×Dic3⋊C4C2×D3semidirect
266. C3×Dic3⋊C4C22×C3semidirect
269. Dic3⋊Dic3C22×C3semidirect
270. Dic3⋊Dic3C22×C3semidirect
271. #3722C22×C3semidirect
274. (C2×D3)⋊Dic3C22×C3semidirect
275. (C2×D3)⋊Dic3C22×C3semidirect
276. Dic32C22×C3semidirect
296. C2×C32×D3#41semidirect
332. #939C3×D3semidirect
339. #937C3×D3semidirect
499. #626C3×D4semidirect
545. C2×C3×D4D32semidirect
546. C2×C3×D4C2×C3×D3semidirect
547. C2×C3×D4C2×C3×D3semidirect
568. C2×#67C2×C3×D3semidirect
569. C2×#67C2×C3×D3semidirect
573. C22×Dic3C2×C3×D3semidirect
627. #217C2×C3×D3semidirect
628. #217C2×C3×D3semidirect
636. (C2×D3)⋊C4C2×C3×D3semidirect
637. (C2×D3)⋊C4C2×C3×D3semidirect
645. Dic3⋊C4C2×C3×D3semidirect
748. C2×C3×D3#237semidirect
750. C2×C3×D3C3×#41semidirect
806. C33#546semidirect
1021. C2×D4C3×D32semidirect
1148. C2×D3C3×#237semidirect
1192. C32#5591semidirect
1193. C32#5612semidirect
1194. C32C3×#546semidirect
1317. C3#10595294direct (N × H)
1318. C3C3×#5591semidirect
1319. C3C3×#5612semidirect

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×C3×#38042
C3×#641472
C32×#9392
C32×#9372
C3×#639832
C3×#639752
C3×Dic3×#672
C3×#639702
C3×D3×#2172
C3×#639592
C3×#639212
C3×#638932
C3×#638912
C3×#638812
C3×#56123
C3×#55913
#105952943