Finite Group Databasebeta

← C4×#64269⋊C3 #72269092

Subgroups — C4×#64269⋊C3 #72269092

Order 3456.

2211 conjugacy classes of subgroups.

The subgroup lattice has 1483 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×C22⋊H(3,𝔽3)C211yesmaximal, characteristic, complemented
2C2×#64269⋊C3C211yesmaximal, characteristic
3C2×C4×(C3⋊S4)⋊C3C211yesmaximal, characteristic, complemented
4#10593666⋊C3C211yesmaximal, characteristic, complemented
5#10593647⋊C3C211yesmaximal, characteristic, complemented
6#10593645⋊C3C211yesmaximal, characteristic, complemented
7C4×(C3⋊SL(2,ℤ/4))⋊C3C211yesmaximal, characteristic, complemented
8C4×#64269C311yesmaximal, characteristic, complemented
9C3×C4×#953—31nomaximal
10C23×C22⋊H(3,𝔽3)C2211yescharacteristic
11C22×(C3⋊S4)⋊C3C2211yescharacteristic
12C2×C4×C22⋊H(3,𝔽3)—22no—
13C2×C4×C22⋊H(3,𝔽3)C2211yescharacteristic
14C2×C4×C22⋊H(3,𝔽3)C2211yescharacteristic
15#64269⋊C3C414yesdirect product factor
16C2×(C3⋊SL(2,ℤ/4))⋊C3C2211yescharacteristic
17C2×(C3⋊SL(2,ℤ/4))⋊C3C2211yescharacteristic
18C2×(C3⋊SL(2,ℤ/4))⋊C3C2211yescharacteristic
19C4×(C3⋊S4)⋊C3—22no—
20C4×#638⋊C3—41nomaximal
21C24×C32×C4D311yescharacteristic, complemented
22C22×C3×C4×A4—21no—
23C22×C3×C4×A4C2×C311yescharacteristic, complemented
24C2×#64269C2×C311yescharacteristic
25C2×C4×C3⋊S4C2×C311yescharacteristic, complemented
26C2×C3×#953—31no—
27C2×C3×C4×#67—31no—
28C2×C3×C4×#67—31no—
29C2×C3×C4×#67—31no—
30#10593666C2×C311yescharacteristic, complemented
31#10593647C2×C311yescharacteristic, complemented
32#10593645C2×C311yescharacteristic, complemented
33C4×C3⋊SL(2,ℤ/4)C2×C311yescharacteristic, complemented
34C3×#5247—31no—
35C3×#5213—31no—
36C3×#5213—31no—
37C3×#5213—31no—
38C3×#5210—31no—
39C3×#5210—31no—
40C3×#5210—31no—
41C3×C4×#217—31no—
42C3×C4×#217—31no—
43C3×C4×#217—31no—
44C22×C22⋊H(3,𝔽3)—21no—
45C22×C22⋊H(3,𝔽3)—21no—
46C22×C22⋊H(3,𝔽3)C2×C412yescomplemented
47C22×C22⋊H(3,𝔽3)C2311yescharacteristic
48C2×(C3⋊S4)⋊C3—21no—
49C2×(C3⋊S4)⋊C3—21no—
50C2×(C3⋊S4)⋊C3C2×C412yescomplemented
51C22×C4×H(3,𝔽3)—41no—
52C2×#638⋊C3—41no—
53C2×C4×(C3⋊D3)⋊C3—41no—
54C4×C22⋊H(3,𝔽3)—21no—
55C4×C22⋊H(3,𝔽3)D412yescomplemented
56(C3⋊SL(2,ℤ/4))⋊C3—21no—
57(C3⋊SL(2,ℤ/4))⋊C3—21no—
58(C3⋊SL(2,ℤ/4))⋊C3C2×C412yescomplemented
59#3757⋊C3—41no—
60#3752⋊C3—41no—
61#3750⋊C3—41no—
62C4×(C3⋊Dic3)⋊C3—41no—
63C4×GL(2,ℤ/4)—91no—
64C3×C4×#120—91no—
65C4×#953—31no—
66C25×C32C2×D311yescharacteristic
67C23×C3×A4—21no—
68C23×C3×A4C22×C311yescharacteristic
69C22×C3⋊S4C22×C311yescharacteristic
70C23×C32×C4—22no—
71C23×C32×C4—31no—
72C23×C32×C4—31no—
73C23×C32×C4—31no—
74C23×C32×C4—31no—
75C23×C32×C4—62no—
76C23×C32×C4C2×D311yescharacteristic
77C23×C32×C4C2×D311yescharacteristic
78C22×C3×#67—31no—
79C22×C3×#67—31no—
80C22×C3×#67—31no—
81C22×C3×C4×D3—31no—
82C2×C3×C4×A4—24no—
83C2×C3×C4×A4—21no—
84C2×C3×C4×A4—21no—
85C2×C3×C4×A4—22no—
86C2×C3×C4×A4C22×C311yescharacteristic
87C2×C3×C4×A4C22×C311yescharacteristic
88#64269C3×C414yescomplemented
89C2×C3⋊SL(2,ℤ/4)C22×C311yescharacteristic
90C2×C3⋊SL(2,ℤ/4)C22×C311yescharacteristic
91C2×C3⋊SL(2,ℤ/4)C22×C311yescharacteristic
92C4×C3⋊S4—22no—
93C4×#638—41no—
94C3×#953—34no—
95C3×#953—34no—
96C2×C3×#217—31no—
97C2×C3×#217—31no—
98C2×C3×#217—31no—
99C2×C3×#217—31no—
100C2×C3×#217—31no—
101C2×C3×#217—31no—
102C2×C3×#217—31no—
103C2×C3×#217—31no—
104C2×C3×#217—31no—
105C3×C4×#67—62no—
106C3×C4×#67—64no—
107C3×C4×#67—61no—
108C3×C4×#67—61no—
109C3×C4×#67—61no—
110C3×C4×#67—62no—
111C3×C4×#67—61no—
112C2×C3×(C2×D3)⋊C4—31no—
113C2×C3×(C2×D3)⋊C4—31no—
114C2×C3×(C2×D3)⋊C4—31no—
115C2×C3×Dic3⋊C4—31no—
116C2×C3×Dic3⋊C4—31no—
117C2×C3×Dic3⋊C4—31no—
118C2×C3×C4×Dic3—31no—
119C2×C3×C4×Dic3—31no—
120C2×C3×C4×Dic3—31no—
121C3×C3⋊#95—31no—
122C3×C3⋊#95—31no—
123C3×C3⋊#95—31no—
124C3×C3⋊#95—31no—
125C3×C3⋊#95—31no—
126C3×C3⋊#95—31no—
127C23×H(3,𝔽3)—41no—
128C22×(C3⋊D3)⋊C3—41no—
129C2×C22⋊H(3,𝔽3)—22no—
130C2×C22⋊H(3,𝔽3)C22×C411yescharacteristic
131C2×C22⋊H(3,𝔽3)C2×D411yescharacteristic
132C2×C22⋊H(3,𝔽3)#4111yescharacteristic
133(C3⋊S4)⋊C3—22no—
134C2×C4×H(3,𝔽3)—41no—
135C2×C4×H(3,𝔽3)—41no—
136C2×C4×H(3,𝔽3)—82no—
137#638⋊C3—44no—
138C2×(C3⋊Dic3)⋊C3—41no—
139C2×(C3⋊Dic3)⋊C3—41no—
140C2×(C3⋊Dic3)⋊C3—41no—
141C4×(C3⋊D3)⋊C3—82no—
142C24×C3×C4—31no—
143C24×C3×C4C3×D311yescharacteristic
144C22×C4×A4—31no—
145C22×C4×A4—61no—
146C2×GL(2,ℤ/4)—91no—
147C2×C4×S4—91no—
148C2×C3×#120—91no—
149C2×C3×C4×D4—91no—
150C2×C3×C4×D4—91no—
151C2×C3×C4×D4—91no—
152C2×#953—31no—
153C2×C4×#67—31no—
154C2×C4×#67—31no—
155C2×C4×#67—31no—
156#5432—91no—
157(C2×S4)⋊C4—91no—
158SL(2,ℤ/4)⋊C4—91no—
159C4×SL(2,ℤ/4)—91no—
160C3×#386—91no—
161C3×#386—91no—
162C3×#386—91no—
163C3×#385—91no—
164C3×#385—91no—
165C3×#385—91no—
166C3×#379—91no—
167C3×C4×C22⋊C4—91no—
168C3×C4×C22⋊C4—91no—
169C3×C4×C22⋊C4—91no—
170#5247—31no—
171#5213—31no—
172#5213—31no—
173#5213—31no—
174#5210—31no—
175#5210—31no—
176#5210—31no—
177C4×#217—31no—
178C4×#217—31no—
179C4×#217—31no—
180C24×C32—21no—
181C24×C32—21no—
182C24×C32—31no—
183C24×C32—31no—
184C24×C32—32no—
185C24×C32—61no—
186C24×C32—61no—
187C24×C32C4×D312yescomplemented
188C24×C32C22×D311yescharacteristic
189C23×C3×D3—31no—
190C22×C3×A4—22no—
191C22×C3×A4—22no—
192C22×C3×A4—22no—
193C22×C3×A4—21no—
194C22×C3×A4—21no—
195C22×C3×A4—21no—
196C22×C3×A4C2×C3×C412yescomplemented
197C22×C3×A4C23×C311yescharacteristic
198C2×C3⋊S4—21no—
199C2×C3⋊S4—21no—
200C2×C3⋊S4C2×C3×C412yescomplemented
201C22×C32×C4—21no—
202C22×C32×C4—31no—
203C22×C32×C4—31no—
204C22×C32×C4—31no—
205C22×C32×C4—32no—
206C22×C32×C4—34no—
207C22×C32×C4—31no—
208C22×C32×C4—31no—
209C22×C32×C4—31no—
210C22×C32×C4—31no—
211C22×C32×C4—41no—
212C22×C32×C4—62no—
213C22×C32×C4—62no—
214C22×C32×C4—61no—
215C22×C32×C4—61no—
216C22×C32×C4—62no—
217C22×C32×C4—62no—
218C22×C32×C4—62no—
219C22×C32×C4—62no—
220C22×C32×C4—62no—
221C22×C32×C4—81no—
222C22×C32×C4#6712yescomplemented
223C22×C32×C4S411yescharacteristic, complemented
224C2×#638—41no—
225C2×C4×C3⋊D3—41no—
226C2×C3×#67—34no—
227C2×C3×#67—32no—
228C2×C3×#67—34no—
229C2×C3×#67—32no—
230C2×C3×#67—61no—
231C2×C3×#67—62no—
232C2×C3×#67—61no—
233C2×C3×#67—61no—
234C2×C3×#67—62no—
235C2×C3×#67—62no—
236C2×C3×#67—61no—
237C2×C3×#67—61no—
238C2×C3×#67—61no—
239C22×C3×Dic3—31no—
240C22×C3×Dic3—31no—
241C22×C3×Dic3—31no—
242C22×C3×Dic3—31no—
243C22×C3×Dic3—31no—
244C22×C3×Dic3—31no—
245C22×C3×Dic3—31no—
246C2×C3×C4×D3—61no—
247C2×C3×C4×D3—62no—
248C2×C3×C4×D3—62no—
249C2×C3×C4×D3—61no—
250C3×C4×A4—22no—
251C3×C4×A4—22no—
252C3×C4×A4—21no—
253C3×C4×A4C3×D412yescomplemented
254C3⋊SL(2,ℤ/4)—21no—
255C3⋊SL(2,ℤ/4)—21no—
256C3⋊SL(2,ℤ/4)C2×C3×C412yescomplemented
257#3757—41no—
258#3752—41no—
259#3750—41no—
260C4×C3⋊Dic3—41no—
261C3×#217—34no—
262C3×#217—32no—
263C3×#217—34no—
264C3×#217—32no—
265C3×#217—61no—
266C3×#217—62no—
267C3×#217—61no—
268C3×#217—61no—
269C3×#217—62no—
270C3×#217—62no—
271C3×#217—61no—
272C3×#217—61no—
273C3×#217—61no—
274C3×(C2×D3)⋊C4—62no—
275C3×(C2×D3)⋊C4—62no—
276C3×(C2×D3)⋊C4—61no—
277C3×(C2×D3)⋊C4—61no—
278C3×Dic3⋊C4—62no—
279C3×Dic3⋊C4—62no—
280C3×Dic3⋊C4—61no—
281C3×Dic3⋊C4—61no—
282C3×C4×Dic3—62no—
283C3×C4×Dic3—62no—
284C3×C4×Dic3—61no—
285C3×C4×Dic3—61no—
286C4×#120—91noSylow
287C22×H(3,𝔽3)—41no—
288C22×H(3,𝔽3)—42no—
289C22×H(3,𝔽3)—81no—
290C22×H(3,𝔽3)—81no—
291C2×(C3⋊D3)⋊C3—42no—
292C2×(C3⋊D3)⋊C3—81no—
293C2×(C3⋊D3)⋊C3—81no—
294C22⋊H(3,𝔽3)C4×D411yescharacteristic, complemented
295C4×H(3,𝔽3)—42no—
296C4×H(3,𝔽3)—81no—
297(C3⋊Dic3)⋊C3—42no—
298(C3⋊Dic3)⋊C3—81no—
299(C3⋊Dic3)⋊C3—81no—
300C25×C3—31no—
301C25×C3C2×C3×D311yescharacteristic
302C23×A4—31no—
303C23×A4—61no—
304C22×S4—91no—
305C22×C3×D4—91no—
306C22×C3×D4—91no—
307C22×C3×D4—91no—
308C23×C3×C4—22no—
309C23×C3×C4—31no—
310C23×C3×C4—31no—
311C23×C3×C4—31no—
312C23×C3×C4—31no—
313C23×C3×C4—31no—
314C23×C3×C4—31no—
315C23×C3×C4—31no—
316C23×C3×C4—31no—
317C23×C3×C4—31no—
318C23×C3×C4—31no—
319C23×C3×C4—62no—
320C23×C3×C4—61no—
321C23×C3×C4—61no—
322C23×C3×C4—61no—
323C23×C3×C4—61no—
324C23×C3×C4—62no—
325C23×C3×C4—64no—
326C23×C3×C4—62no—
327C23×C3×C4—91no—
328C23×C3×C4C2×C3×D311yescharacteristic
329C23×C3×C4C2×C3×D311yescharacteristic
330C22×#67—31no—
331C22×#67—31no—
332C22×#67—31no—
333C22×C4×D3—31no—
334C2×C4×A4—31no—
335C2×C4×A4—31no—
336C2×C4×A4—62no—
337C2×C4×A4—64no—
338C2×C4×A4—61no—
339C2×C4×A4—61no—
340GL(2,ℤ/4)—94no—
341C2×SL(2,ℤ/4)—91no—
342C2×SL(2,ℤ/4)—91no—
343C2×SL(2,ℤ/4)—91no—
344C4×S4—182no—
345C3×#120—94no—
346C3×#120—94no—
347C3×C4×D4—182no—
348C3×C4×D4—184no—
349C3×C4×D4—181no—
350C3×C4×D4—181no—
351C3×C4×D4—181no—
352C3×C4×D4—182no—
353C3×C4×D4—181no—
354C2×C3×C4⋊C4—91no—
355C2×C3×C4⋊C4—91no—
356C2×C3×C4⋊C4—91no—
357C2×C3×C22⋊C4—91no—
358C2×C3×C22⋊C4—91no—
359C2×C3×C22⋊C4—91no—
360C2×C3×C22⋊C4—91no—
361C2×C3×C22⋊C4—91no—
362C2×C3×C22⋊C4—91no—
363C2×C3×C22⋊C4—91no—
364C2×C3×C22⋊C4—91no—
365C2×C3×C22⋊C4—91no—
366C2×C3×C22⋊C4—91no—
367C2×C3×C22⋊C4—91no—
368C2×C3×C22⋊C4—91no—
369C2×C3×C42—91no—
370C2×C3×C42—91no—
371C2×C3×C42—91no—
372#953—34no—
373#953—34no—
374C2×#217—31no—
375C2×#217—31no—
376C2×#217—31no—
377C2×#217—31no—
378C2×#217—31no—
379C2×#217—31no—
380C2×#217—31no—
381C2×#217—31no—
382C2×#217—31no—
383C4×#67—62no—
384C4×#67—64no—
385C4×#67—61no—
386C4×#67—61no—
387C4×#67—61no—
388C4×#67—62no—
389C4×#67—61no—
390C4×#67—361no—
391C2×(C2×D3)⋊C4—31no—
392C2×(C2×D3)⋊C4—31no—
393C2×(C2×D3)⋊C4—31no—
394C2×Dic3⋊C4—31no—
395C2×Dic3⋊C4—31no—
396C2×Dic3⋊C4—31no—
397C2×C4×Dic3—31no—
398C2×C4×Dic3—31no—
399C2×C4×Dic3—31no—
400C3×#95—91no—
401C3×#95—91no—
402C3×#95—91no—
403C3×#95—91no—
404C3×#95—91no—
405C3×#95—91no—
406C3⋊#95—31no—
407C3⋊#95—31no—
408C3⋊#95—31no—
409C3⋊#95—31no—
410C3⋊#95—31no—
411C3⋊#95—31no—
412C23×C32—22no—
413C23×C32—31no—
414C23×C32—32no—
415C23×C32—31no—
416C23×C32—31no—
417C23×C32—31no—
418C23×C32—32no—
419C23×C32—32no—
420C23×C32—32no—
421C23×C32—32no—
422C23×C32—31no—
423C23×C32—41no—
424C23×C32—61no—
425C23×C32—61no—
426C23×C32—61no—
427C23×C32—61no—
428C23×C32—62no—
429C23×C32—61no—
430C23×C32—62no—
431C23×C32—62no—
432C23×C32—61no—
433C23×C32—61no—
434C23×C32—64no—
435C23×C32—81no—
436C23×C32C2×C4×D311yescharacteristic
437C23×C32#23511yescharacteristic
438C23×C32C2×#6711yescharacteristic
439C23×C32C2×S411yescharacteristic
440C22×C3⋊D3—41no—
441C22×C3×D3—32no—
442C22×C3×D3—61no—
443C22×C3×D3—61no—
444C22×C3×D3—61no—
445C22×C3×D3—61no—
446C22×C3×D3—61no—
447C22×C3×D3—61no—
448C2×C3×A4—24no—
449C2×C3×A4—22no—
450C2×C3×A4—21no—
451C2×C3×A4—21no—
452C2×C3×A4—21no—
453C2×C3×A4C22×C3×C411yescharacteristic
454C2×C3×A4C2×C3×D411yescharacteristic
455C2×C3×A4C3×#4111yescharacteristic
456C3⋊S4—22no—
457C2×C32×C4—22no—
458C2×C32×C4—31no—
459C2×C32×C4—32no—
460C2×C32×C4—32no—
461C2×C32×C4—32no—
462C2×C32×C4—32no—
463C2×C32×C4—31no—
464C2×C32×C4—41no—
465C2×C32×C4—41no—
466C2×C32×C4—62no—
467C2×C32×C4—61no—
468C2×C32×C4—61no—
469C2×C32×C4—61no—
470C2×C32×C4—62no—
471C2×C32×C4—64no—
472C2×C32×C4—62no—
473C2×C32×C4—61no—
474C2×C32×C4—82no—
475C2×C32×C4—84no—
476C2×C32×C4—81no—
477C2×C32×C4—81no—
478C2×C32×C4C2×S411yescharacteristic
479C2×C32×C4C2×S411yescharacteristic
480#638—44no—
481C2×C3⋊Dic3—41no—
482C2×C3⋊Dic3—41no—
483C2×C3⋊Dic3—41no—
484C4×C3⋊D3—82no—
485C3×#67—62no—
486C3×#67—62no—
487C3×#67—62no—
488C3×#67—68no—
489C3×#67—64no—
490C3×#67—62no—
491C3×#67—64no—
492C2×C3×Dic3—32no—
493C2×C3×Dic3—32no—
494C2×C3×Dic3—32no—
495C2×C3×Dic3—61no—
496C2×C3×Dic3—61no—
497C2×C3×Dic3—61no—
498C2×C3×Dic3—61no—
499C2×C3×Dic3—61no—
500C2×C3×Dic3—61no—
501C2×C3×Dic3—61no—
502C2×C3×Dic3—61no—
503C2×C3×Dic3—61no—
504C2×C3×Dic3—61no—
505C2×C3×Dic3—61no—
506C2×C3×Dic3—61no—
507C2×C3×Dic3—61no—
508C2×C3×Dic3—61no—
509C2×C3×Dic3—61no—
510C2×C3×Dic3—61no—
511C2×C3×Dic3—61no—
512C2×C3×Dic3—61no—
513C3×C4×D3—122no—
514C3×C4×D3—122no—
515C24×C4(C3⋊D3)⋊C311yescharacteristic, complemented
516C2×#120—91no—
517C2×C4×D4—91no—
518C2×C4×D4—91no—
519C2×C4×D4—91no—
520#386—91no—
521#386—91no—
522#386—91no—
523#385—91no—
524#385—91no—
525#385—91no—
526#379—91no—
527C4×C22⋊C4—91no—
528C4×C22⋊C4—91no—
529C4×C22⋊C4—91no—
530C2×H(3,𝔽3)—41no—
531C2×H(3,𝔽3)—41no—
532C2×H(3,𝔽3)—41no—
533C2×H(3,𝔽3)—82no—
534(C3⋊D3)⋊C3—82no—
535C24×C3—21no—
536C24×C3—21no—
537C24×C3—31no—
538C24×C3—31no—
539C24×C3—31no—
540C24×C3—31no—
541C24×C3—32no—
542C24×C3—32no—
543C24×C3—32no—
544C24×C3—31no—
545C24×C3—61no—
546C24×C3—61no—
547C24×C3—62no—
548C24×C3—61no—
549C24×C3—61no—
550C24×C3—61no—
551C24×C3—61no—
552C24×C3—62no—
553C24×C3—61no—
554C24×C3—62no—
555C24×C3—61no—
556C24×C3—91no—
557C24×C3C3×C4×D312yes—
558C24×C3C22×C3×D311yescharacteristic
559C23×D3—31no—
560C22×A4—32no—
561C22×A4—31no—
562C22×A4—61no—
563C22×A4—61no—
564C22×A4—62no—
565C22×A4—62no—
566C22×A4—62no—
567C22×A4—61no—
568C2×S4—92no—
569C2×S4—181no—
570C2×S4—181no—
571C2×C3×D4—94no—
572C2×C3×D4—92no—
573C2×C3×D4—94no—
574C2×C3×D4—92no—
575C2×C3×D4—181no—
576C2×C3×D4—182no—
577C2×C3×D4—181no—
578C2×C3×D4—181no—
579C2×C3×D4—181no—
580C2×C3×D4—181no—
581C2×C3×D4—182no—
582C2×C3×D4—182no—
583C2×C3×D4—181no—
584C22×C3×C4—21no—
585C22×C3×C4—31no—
586C22×C3×C4—31no—
587C22×C3×C4—31no—
588C22×C3×C4—31no—
589C22×C3×C4—32no—
590C22×C3×C4—31no—
591C22×C3×C4—31no—
592C22×C3×C4—31no—
593C22×C3×C4—34no—
594C22×C3×C4—32no—
595C22×C3×C4—34no—
596C22×C3×C4—31no—
597C22×C3×C4—31no—
598C22×C3×C4—31no—
599C22×C3×C4—31no—
600C22×C3×C4—31no—
601C22×C3×C4—31no—
602C22×C3×C4—31no—
603C22×C3×C4—32no—
604C22×C3×C4—31no—
605C22×C3×C4—61no—
606C22×C3×C4—61no—
607C22×C3×C4—61no—
608C22×C3×C4—61no—
609C22×C3×C4—62no—
610C22×C3×C4—61no—
611C22×C3×C4—61no—
612C22×C3×C4—61no—
613C22×C3×C4—61no—
614C22×C3×C4—64no—
615C22×C3×C4—62no—
616C22×C3×C4—62no—
617C22×C3×C4—61no—
618C22×C3×C4—61no—
619C22×C3×C4—62no—
620C22×C3×C4—62no—
621C22×C3×C4—61no—
622C22×C3×C4—61no—
623C22×C3×C4—62no—
624C22×C3×C4—62no—
625C22×C3×C4—62no—
626C22×C3×C4—62no—
627C22×C3×C4—62no—
628C22×C3×C4—62no—
629C22×C3×C4—62no—
630C22×C3×C4—62no—
631C22×C3×C4—62no—
632C22×C3×C4—61no—
633C22×C3×C4—61no—
634C22×C3×C4—62no—
635C22×C3×C4—62no—
636C22×C3×C4—64no—
637C22×C3×C4—64no—
638C22×C3×C4—64no—
639C22×C3×C4—64no—
640C22×C3×C4—64no—
641C22×C3×C4—64no—
642C22×C3×C4—64no—
643C22×C3×C4—91no—
644C22×C3×C4—91no—
645C22×C3×C4—91no—
646C22×C3×C4—91no—
647C22×C3×C4—91no—
648C22×C3×C4—91no—
649C22×C3×C4—91no—
650C22×C3×C4—121no—
651C22×C3×C4—181no—
652C22×C3×C4—182no—
653C22×C3×C4—182no—
654C22×C3×C4—181no—
655C22×C3×C4—241no—
656C22×C3×C4C3×#6712yes—
657C22×C3×C4C3×S411yescharacteristic
658C2×#67—34no—
659C2×#67—32no—
660C2×#67—34no—
661C2×#67—32no—
662C2×#67—61no—
663C2×#67—62no—
664C2×#67—61no—
665C2×#67—61no—
666C2×#67—62no—
667C2×#67—62no—
668C2×#67—61no—
669C2×#67—61no—
670C2×#67—61no—
671C2×#67—361no—
672C22×Dic3—31no—
673C22×Dic3—31no—
674C22×Dic3—31no—
675C22×Dic3—31no—
676C22×Dic3—31no—
677C22×Dic3—31no—
678C22×Dic3—31no—
679C2×C4×D3—61no—
680C2×C4×D3—62no—
681C2×C4×D3—62no—
682C2×C4×D3—61no—
683C2×C4×D3—361no—
684C4×A4—32no—
685C4×A4—61no—
686C4×A4—62no—
687C4×A4—62no—
688SL(2,ℤ/4)—92no—
689SL(2,ℤ/4)—181no—
690SL(2,ℤ/4)—181no—
691C3×C4⋊C4—182no—
692C3×C4⋊C4—182no—
693C3×C4⋊C4—181no—
694C3×C4⋊C4—181no—
695C3×C22⋊C4—94no—
696C3×C22⋊C4—92no—
697C3×C22⋊C4—94no—
698C3×C22⋊C4—92no—
699C3×C22⋊C4—182no—
700C3×C22⋊C4—182no—
701C3×C22⋊C4—181no—
702C3×C22⋊C4—181no—
703C3×C22⋊C4—181no—
704C3×C22⋊C4—182no—
705C3×C22⋊C4—182no—
706C3×C22⋊C4—181no—
707C3×C22⋊C4—181no—
708C3×C22⋊C4—182no—
709C3×C22⋊C4—181no—
710C3×C22⋊C4—181no—
711C3×C22⋊C4—181no—
712C3×C42—181no—
713C3×C42—182no—
714C3×C42—182no—
715C3×C42—181no—
716#217—34no—
717#217—32no—
718#217—34no—
719#217—32no—
720#217—61no—
721#217—62no—
722#217—61no—
723#217—61no—
724#217—62no—
725#217—62no—
726#217—61no—
727#217—61no—
728#217—61no—
729#217—361no—
730(C2×D3)⋊C4—62no—
731(C2×D3)⋊C4—62no—
732(C2×D3)⋊C4—61no—
733(C2×D3)⋊C4—61no—
734(C2×D3)⋊C4—361no—
735Dic3⋊C4—62no—
736Dic3⋊C4—62no—
737Dic3⋊C4—61no—
738Dic3⋊C4—61no—
739Dic3⋊C4—361no—
740C4×Dic3—62no—
741C4×Dic3—62no—
742C4×Dic3—61no—
743C4×Dic3—61no—
744C4×Dic3—361no—
745C22×C32—21no—
746C22×C32—21no—
747C22×C32—31no—
748C22×C32—31no—
749C22×C32—31no—
750C22×C32—31no—
751C22×C32—31no—
752C22×C32—31no—
753C22×C32—31no—
754C22×C32—31no—
755C22×C32—31no—
756C22×C32—34no—
757C22×C32—32no—
758C22×C32—41no—
759C22×C32—42no—
760C22×C32—62no—
761C22×C32—62no—
762C22×C32—62no—
763C22×C32—62no—
764C22×C32—61no—
765C22×C32—62no—
766C22×C32—62no—
767C22×C32—62no—
768C22×C32—61no—
769C22×C32—61no—
770C22×C32—81no—
771C22×C32—81no—
772C22×C32—82no—
773C22×C32—82no—
774C22×C32—81no—
775C22×C32—82no—
776C22×C32C4×#6711yescharacteristic, complemented
777C22×C32C4×S412yescomplemented
778C22×C32C22×S411yescharacteristic
779C2×C3⋊D3—42no—
780C2×C3⋊D3—81no—
781C2×C3⋊D3—81no—
782C2×C3×D3—62no—
783C2×C3×D3—62no—
784C2×C3×D3—62no—
785C2×C3×D3—121no—
786C2×C3×D3—121no—
787C2×C3×D3—121no—
788C2×C3×D3—121no—
789C3×A4—21no—
790C3×A4C3×C4×D411yescharacteristic, complemented
791C32×C4—21no—
792C32×C4—32no—
793C32×C4—42no—
794C32×C4—61no—
795C32×C4—81no—
796C32×C4—82no—
797C32×C4—82no—
798C32×C4GL(2,ℤ/4)12yescomplemented
799C3⋊Dic3—42no—
800C3⋊Dic3—81no—
801C3⋊Dic3—81no—
802C3×Dic3—62no—
803C3×Dic3—62no—
804C3×Dic3—62no—
805C3×Dic3—121no—
806C3×Dic3—121no—
807C3×Dic3—121no—
808C3×Dic3—121no—
809C25C2×(C3⋊D3)⋊C311yescharacteristic
810C22×D4—91no—
811C22×D4—91no—
812C22×D4—91no—
813C23×C4—22no—
814C23×C4—31no—
815C23×C4—31no—
816C23×C4—31no—
817C23×C4—31no—
818C23×C4—62no—
819C23×C4—91no—
820C23×C4C2×(C3⋊D3)⋊C311yescharacteristic
821C23×C4C2×(C3⋊D3)⋊C311yescharacteristic
822#120—94no—
823#120—94no—
824C4×D4—182no—
825C4×D4—184no—
826C4×D4—181no—
827C4×D4—181no—
828C4×D4—181no—
829C4×D4—182no—
830C4×D4—181no—
831C2×C4⋊C4—91no—
832C2×C4⋊C4—91no—
833C2×C4⋊C4—91no—
834C2×C22⋊C4—91no—
835C2×C22⋊C4—91no—
836C2×C22⋊C4—91no—
837C2×C22⋊C4—91no—
838C2×C22⋊C4—91no—
839C2×C22⋊C4—91no—
840C2×C22⋊C4—91no—
841C2×C22⋊C4—91no—
842C2×C22⋊C4—91no—
843C2×C22⋊C4—91no—
844C2×C22⋊C4—91no—
845C2×C22⋊C4—91no—
846C2×C42—91no—
847C2×C42—91no—
848C2×C42—91no—
849#95—91no—
850#95—91no—
851#95—91no—
852#95—91no—
853#95—91no—
854#95—91no—
855H(3,𝔽3)—41noSylow
856C23×C3—22no—
857C23×C3—31no—
858C23×C3—31no—
859C23×C3—32no—
860C23×C3—31no—
861C23×C3—31no—
862C23×C3—31no—
863C23×C3—32no—
864C23×C3—32no—
865C23×C3—32no—
866C23×C3—31no—
867C23×C3—32no—
868C23×C3—31no—
869C23×C3—32no—
870C23×C3—31no—
871C23×C3—31no—
872C23×C3—32no—
873C23×C3—32no—
874C23×C3—31no—
875C23×C3—32no—
876C23×C3—32no—
877C23×C3—31no—
878C23×C3—31no—
879C23×C3—31no—
880C23×C3—31no—
881C23×C3—62no—
882C23×C3—61no—
883C23×C3—61no—
884C23×C3—61no—
885C23×C3—62no—
886C23×C3—61no—
887C23×C3—61no—
888C23×C3—62no—
889C23×C3—62no—
890C23×C3—62no—
891C23×C3—62no—
892C23×C3—61no—
893C23×C3—61no—
894C23×C3—61no—
895C23×C3—61no—
896C23×C3—62no—
897C23×C3—61no—
898C23×C3—61no—
899C23×C3—62no—
900C23×C3—62no—
901C23×C3—61no—
902C23×C3—61no—
903C23×C3—61no—
904C23×C3—61no—
905C23×C3—61no—
906C23×C3—61no—
907C23×C3—64no—
908C23×C3—62no—
909C23×C3—61no—
910C23×C3—62no—
911C23×C3—61no—
912C23×C3—62no—
913C23×C3—62no—
914C23×C3—64no—
915C23×C3—64no—
916C23×C3—62no—
917C23×C3—62no—
918C23×C3—62no—
919C23×C3—62no—
920C23×C3—62no—
921C23×C3—64no—
922C23×C3—62no—
923C23×C3—64no—
924C23×C3—64no—
925C23×C3—64no—
926C23×C3—92no—
927C23×C3—121no—
928C23×C3—181no—
929C23×C3—181no—
930C23×C3—181no—
931C23×C3—181no—
932C23×C3—181no—
933C23×C3—181no—
934C23×C3—241no—
935C23×C3C2×C3×C4×D311yescharacteristic
936C23×C3C3×#23511yescharacteristic
937C23×C3C2×C3×#6711yescharacteristic
938C23×C3C2×C3×S411yescharacteristic
939C22×D3—32no—
940C22×D3—61no—
941C22×D3—61no—
942C22×D3—61no—
943C22×D3—61no—
944C22×D3—61no—
945C22×D3—61no—
946C22×D3—361no—
947C2×A4—31no—
948C2×A4—31no—
949C2×A4—31no—
950C2×A4—62no—
951C2×A4—64no—
952C2×A4—61no—
953C2×A4—61no—
954C2×A4—61no—
955S4—182no—
956C3×D4—182no—
957C3×D4—182no—
958C3×D4—182no—
959C3×D4—188no—
960C3×D4—184no—
961C3×D4—184no—
962C3×D4—182no—
963C2×C3×C4—22no—
964C2×C3×C4—31no—
965C2×C3×C4—32no—
966C2×C3×C4—32no—
967C2×C3×C4—31no—
968C2×C3×C4—32no—
969C2×C3×C4—32no—
970C2×C3×C4—32no—
971C2×C3×C4—32no—
972C2×C3×C4—32no—
973C2×C3×C4—32no—
974C2×C3×C4—31no—
975C2×C3×C4—31no—
976C2×C3×C4—31no—
977C2×C3×C4—31no—
978C2×C3×C4—62no—
979C2×C3×C4—62no—
980C2×C3×C4—62no—
981C2×C3×C4—62no—
982C2×C3×C4—61no—
983C2×C3×C4—61no—
984C2×C3×C4—62no—
985C2×C3×C4—62no—
986C2×C3×C4—61no—
987C2×C3×C4—61no—
988C2×C3×C4—61no—
989C2×C3×C4—62no—
990C2×C3×C4—62no—
991C2×C3×C4—62no—
992C2×C3×C4—62no—
993C2×C3×C4—64no—
994C2×C3×C4—64no—
995C2×C3×C4—64no—
996C2×C3×C4—62no—
997C2×C3×C4—61no—
998C2×C3×C4—61no—
999C2×C3×C4—61no—
1000C2×C3×C4—61no—
1001C2×C3×C4—64no—
1002C2×C3×C4—62no—
1003C2×C3×C4—62no—
1004C2×C3×C4—64no—
1005C2×C3×C4—64no—
1006C2×C3×C4—64no—
1007C2×C3×C4—62no—
1008C2×C3×C4—62no—
1009C2×C3×C4—61no—
1010C2×C3×C4—92no—
1011C2×C3×C4—92no—
1012C2×C3×C4—92no—
1013C2×C3×C4—121no—
1014C2×C3×C4—121no—
1015C2×C3×C4—181no—
1016C2×C3×C4—181no—
1017C2×C3×C4—181no—
1018C2×C3×C4—181no—
1019C2×C3×C4—181no—
1020C2×C3×C4—181no—
1021C2×C3×C4—181no—
1022C2×C3×C4—181no—
1023C2×C3×C4—181no—
1024C2×C3×C4—181no—
1025C2×C3×C4—181no—
1026C2×C3×C4—181no—
1027C2×C3×C4—181no—
1028C2×C3×C4—181no—
1029C2×C3×C4—181no—
1030C2×C3×C4—181no—
1031C2×C3×C4—181no—
1032C2×C3×C4—181no—
1033C2×C3×C4—242no—
1034C2×C3×C4—244no—
1035C2×C3×C4—241no—
1036C2×C3×C4—241no—
1037C2×C3×C4—362no—
1038C2×C3×C4—362no—
1039C2×C3×C4C2×C3×S411yescharacteristic
1040C2×C3×C4C2×C3×S411yescharacteristic
1041#67—62no—
1042#67—62no—
1043#67—62no—
1044#67—68no—
1045#67—64no—
1046#67—62no—
1047#67—64no—
1048#67—364no—
1049C2×Dic3—32no—
1050C2×Dic3—32no—
1051C2×Dic3—32no—
1052C2×Dic3—61no—
1053C2×Dic3—61no—
1054C2×Dic3—61no—
1055C2×Dic3—61no—
1056C2×Dic3—61no—
1057C2×Dic3—61no—
1058C2×Dic3—61no—
1059C2×Dic3—61no—
1060C2×Dic3—61no—
1061C2×Dic3—61no—
1062C2×Dic3—61no—
1063C2×Dic3—61no—
1064C2×Dic3—61no—
1065C2×Dic3—61no—
1066C2×Dic3—61no—
1067C2×Dic3—61no—
1068C2×Dic3—61no—
1069C2×Dic3—61no—
1070C2×Dic3—361no—
1071C2×Dic3—361no—
1072C2×Dic3—361no—
1073C4×D3—122no—
1074C4×D3—122no—
1075C4×D3—722no—
1076C2×C32—22no—
1077C2×C32—31no—
1078C2×C32—31no—
1079C2×C32—31no—
1080C2×C32—31no—
1081C2×C32—41no—
1082C2×C32—41no—
1083C2×C32—41no—
1084C2×C32—62no—
1085C2×C32—82no—
1086C2×C32—84no—
1087C2×C32—81no—
1088C2×C32—81no—
1089C2×C32—81no—
1090C2×C32C2×C4×S411yescharacteristic
1091C2×C32#591211yescharacteristic
1092C2×C32C2×GL(2,ℤ/4)11yescharacteristic
1093C3⋊D3—82no—
1094C3×D3—122no—
1095C24—21no—
1096C24—21no—
1097C24—31no—
1098C24—31no—
1099C24—32no—
1100C24—61no—
1101C24—61no—
1102C24—91no—
1103C24C4×(C3⋊D3)⋊C312yescomplemented
1104C24C22×(C3⋊D3)⋊C311yescharacteristic
1105C2×D4—94no—
1106C2×D4—92no—
1107C2×D4—94no—
1108C2×D4—92no—
1109C2×D4—181no—
1110C2×D4—182no—
1111C2×D4—181no—
1112C2×D4—181no—
1113C2×D4—182no—
1114C2×D4—182no—
1115C2×D4—181no—
1116C2×D4—181no—
1117C2×D4—181no—
1118C22×C4—21no—
1119C22×C4—31no—
1120C22×C4—31no—
1121C22×C4—31no—
1122C22×C4—32no—
1123C22×C4—34no—
1124C22×C4—31no—
1125C22×C4—31no—
1126C22×C4—31no—
1127C22×C4—31no—
1128C22×C4—62no—
1129C22×C4—62no—
1130C22×C4—61no—
1131C22×C4—61no—
1132C22×C4—62no—
1133C22×C4—62no—
1134C22×C4—62no—
1135C22×C4—62no—
1136C22×C4—62no—
1137C22×C4—91no—
1138C22×C4—91no—
1139C22×C4—91no—
1140C22×C4—91no—
1141C22×C4—91no—
1142C22×C4—91no—
1143C22×C4—91no—
1144C22×C4—181no—
1145C22×C4—182no—
1146C22×C4—182no—
1147C22×C4—181no—
1148C22×C4#638⋊C312yescomplemented
1149C22×C4(C3⋊S4)⋊C311yescharacteristic, complemented
1150C4⋊C4—182no—
1151C4⋊C4—182no—
1152C4⋊C4—181no—
1153C4⋊C4—181no—
1154C22⋊C4—94no—
1155C22⋊C4—92no—
1156C22⋊C4—94no—
1157C22⋊C4—92no—
1158C22⋊C4—182no—
1159C22⋊C4—182no—
1160C22⋊C4—181no—
1161C22⋊C4—181no—
1162C22⋊C4—182no—
1163C22⋊C4—181no—
1164C22⋊C4—181no—
1165C22⋊C4—182no—
1166C22⋊C4—182no—
1167C22⋊C4—181no—
1168C22⋊C4—181no—
1169C22⋊C4—181no—
1170C22⋊C4—181no—
1171C42—181no—
1172C42—182no—
1173C42—182no—
1174C42—181no—
1175C22×C3—21no—
1176C22×C3—21no—
1177C22×C3—31no—
1178C22×C3—31no—
1179C22×C3—31no—
1180C22×C3—31no—
1181C22×C3—31no—
1182C22×C3—31no—
1183C22×C3—31no—
1184C22×C3—31no—
1185C22×C3—31no—
1186C22×C3—31no—
1187C22×C3—31no—
1188C22×C3—31no—
1189C22×C3—31no—
1190C22×C3—31no—
1191C22×C3—31no—
1192C22×C3—34no—
1193C22×C3—31no—
1194C22×C3—31no—
1195C22×C3—31no—
1196C22×C3—34no—
1197C22×C3—32no—
1198C22×C3—32no—
1199C22×C3—31no—
1200C22×C3—32no—
1201C22×C3—31no—
1202C22×C3—61no—
1203C22×C3—61no—
1204C22×C3—61no—
1205C22×C3—61no—
1206C22×C3—61no—
1207C22×C3—61no—
1208C22×C3—61no—
1209C22×C3—61no—
1210C22×C3—61no—
1211C22×C3—61no—
1212C22×C3—61no—
1213C22×C3—62no—
1214C22×C3—64no—
1215C22×C3—62no—
1216C22×C3—62no—
1217C22×C3—62no—
1218C22×C3—62no—
1219C22×C3—61no—
1220C22×C3—62no—
1221C22×C3—62no—
1222C22×C3—61no—
1223C22×C3—62no—
1224C22×C3—62no—
1225C22×C3—62no—
1226C22×C3—62no—
1227C22×C3—61no—
1228C22×C3—61no—
1229C22×C3—61no—
1230C22×C3—62no—
1231C22×C3—62no—
1232C22×C3—62no—
1233C22×C3—62no—
1234C22×C3—62no—
1235C22×C3—61no—
1236C22×C3—62no—
1237C22×C3—64no—
1238C22×C3—64no—
1239C22×C3—64no—
1240C22×C3—64no—
1241C22×C3—64no—
1242C22×C3—64no—
1243C22×C3—64no—
1244C22×C3—61no—
1245C22×C3—61no—
1246C22×C3—121no—
1247C22×C3—122no—
1248C22×C3—182no—
1249C22×C3—182no—
1250C22×C3—182no—
1251C22×C3—241no—
1252C22×C3—241no—
1253C22×C3—242no—
1254C22×C3—242no—
1255C22×C3—241no—
1256C22×C3—242no—
1257C22×C3—361no—
1258C22×C3—361no—
1259C22×C3—361no—
1260C22×C3—361no—
1261C22×C3C3×C4×#6711yescharacteristic
1262C22×C3C3×C4×S412yes—
1263C22×C3C22×C3×S411yescharacteristic
1264C2×D3—62no—
1265C2×D3—62no—
1266C2×D3—62no—
1267C2×D3—121no—
1268C2×D3—121no—
1269C2×D3—121no—
1270C2×D3—121no—
1271C2×D3—362no—
1272C2×D3—721no—
1273C2×D3—721no—
1274A4—31no—
1275A4—61no—
1276C3×C4—21no—
1277C3×C4—32no—
1278C3×C4—32no—
1279C3×C4—32no—
1280C3×C4—61no—
1281C3×C4—62no—
1282C3×C4—62no—
1283C3×C4—61no—
1284C3×C4—61no—
1285C3×C4—122no—
1286C3×C4—182no—
1287C3×C4—182no—
1288C3×C4—182no—
1289C3×C4—241no—
1290C3×C4—242no—
1291C3×C4—242no—
1292C3×C4—361no—
1293C3×C4—361no—
1294C3×C4—361no—
1295C3×C4—361no—
1296C3×C4C3×GL(2,ℤ/4)12yes—
1297Dic3—62no—
1298Dic3—62no—
1299Dic3—62no—
1300Dic3—121no—
1301Dic3—121no—
1302Dic3—121no—
1303Dic3—121no—
1304Dic3—362no—
1305Dic3—721no—
1306Dic3—721no—
1307C32—41no—
1308C32—81no—
1309C32C4×GL(2,ℤ/4)11yescharacteristic, complemented
1310C23—22no—
1311C23—31no—
1312C23—32no—
1313C23—31no—
1314C23—31no—
1315C23—31no—
1316C23—32no—
1317C23—32no—
1318C23—31no—
1319C23—32no—
1320C23—32no—
1321C23—61no—
1322C23—61no—
1323C23—61no—
1324C23—61no—
1325C23—62no—
1326C23—61no—
1327C23—61no—
1328C23—62no—
1329C23—62no—
1330C23—61no—
1331C23—64no—
1332C23—92no—
1333C23—181no—
1334C23—181no—
1335C23—181no—
1336C23—181no—
1337C23—181no—
1338C23—181no—
1339C23C2×C4×(C3⋊D3)⋊C311yescharacteristic
1340C23#3828⋊C311yescharacteristic
1341C23C2×#638⋊C311yescharacteristic
1342C23C2×(C3⋊S4)⋊C311yescharacteristic
1343D4—182no—
1344D4—182no—
1345D4—182no—
1346D4—188no—
1347D4—184no—
1348D4—184no—
1349D4—182no—
1350C2×C4—22no—
1351C2×C4—31no—
1352C2×C4—32no—
1353C2×C4—32no—
1354C2×C4—32no—
1355C2×C4—32no—
1356C2×C4—31no—
1357C2×C4—62no—
1358C2×C4—61no—
1359C2×C4—61no—
1360C2×C4—61no—
1361C2×C4—62no—
1362C2×C4—64no—
1363C2×C4—62no—
1364C2×C4—61no—
1365C2×C4—92no—
1366C2×C4—92no—
1367C2×C4—92no—
1368C2×C4—181no—
1369C2×C4—181no—
1370C2×C4—181no—
1371C2×C4—181no—
1372C2×C4—181no—
1373C2×C4—181no—
1374C2×C4—181no—
1375C2×C4—181no—
1376C2×C4—181no—
1377C2×C4—181no—
1378C2×C4—181no—
1379C2×C4—181no—
1380C2×C4—181no—
1381C2×C4—181no—
1382C2×C4—181no—
1383C2×C4—181no—
1384C2×C4—181no—
1385C2×C4—181no—
1386C2×C4—362no—
1387C2×C4—362no—
1388C2×C4C2×(C3⋊S4)⋊C311yescharacteristic
1389C2×C4C2×(C3⋊S4)⋊C311yescharacteristic
1390C2×C3—22no—
1391C2×C3—31no—
1392C2×C3—31no—
1393C2×C3—31no—
1394C2×C3—31no—
1395C2×C3—31no—
1396C2×C3—31no—
1397C2×C3—31no—
1398C2×C3—31no—
1399C2×C3—31no—
1400C2×C3—31no—
1401C2×C3—31no—
1402C2×C3—62no—
1403C2×C3—61no—
1404C2×C3—61no—
1405C2×C3—61no—
1406C2×C3—61no—
1407C2×C3—64no—
1408C2×C3—62no—
1409C2×C3—62no—
1410C2×C3—121no—
1411C2×C3—121no—
1412C2×C3—121no—
1413C2×C3—242no—
1414C2×C3—244no—
1415C2×C3—241no—
1416C2×C3—241no—
1417C2×C3—241no—
1418C2×C3—362no—
1419C2×C3C2×C3×C4×S411yescharacteristic
1420C2×C3C3×#591211yescharacteristic
1421C2×C3C2×C3×GL(2,ℤ/4)11yescharacteristic
1422D3—122no—
1423D3—722no—
1424C22—21no—
1425C22—21no—
1426C22—31no—
1427C22—31no—
1428C22—31no—
1429C22—31no—
1430C22—31no—
1431C22—31no—
1432C22—31no—
1433C22—31no—
1434C22—31no—
1435C22—34no—
1436C22—32no—
1437C22—62no—
1438C22—62no—
1439C22—62no—
1440C22—62no—
1441C22—61no—
1442C22—62no—
1443C22—62no—
1444C22—62no—
1445C22—61no—
1446C22—61no—
1447C22—182no—
1448C22—182no—
1449C22—182no—
1450C22—361no—
1451C22—361no—
1452C22—361no—
1453C22—361no—
1454C22C4×#638⋊C311yescharacteristic, complemented
1455C22C4×(C3⋊S4)⋊C312yescomplemented
1456C22C22×(C3⋊S4)⋊C311yescharacteristic
1457C4—21no—
1458C4—32no—
1459C4—61no—
1460C4—182no—
1461C4—182no—
1462C4—182no—
1463C4—361no—
1464C4—361no—
1465C4—361no—
1466C4—361no—
1467C4#64269⋊C312yesdirect product factor
1468C3—31no—
1469C3—121no—
1470C3—241no—
1471C3C3×C4×GL(2,ℤ/4)11yescharacteristic
1472C2—22no—
1473C2—31no—
1474C2—31no—
1475C2—31no—
1476C2—31no—
1477C2—62no—
1478C2—362no—
1479C2C2×C4×(C3⋊S4)⋊C311yescharacteristic
1480C2#10596575⋊C311yescharacteristic
1481C2C2×#64269⋊C311yescharacteristic
subgroupG/H
centerC2×C4C2×(C3⋊S4)⋊C3
commutatorC2×C3×A4C22×C3×C4
FrattiniC22×C3C22×C3×S4
FittingC24×C32×C4D3
socleC24×C3C22×C3×D3
prime radicalC2×#64269⋊C3C2
cosocleC22×C3×A4C23×C3
hypercenterC22×C4(C3⋊S4)⋊C3
hypocenterC3×A4C3×C4×D4
LCSG ▷ C2×C3×A4 ▷ C3×A4
UCSC1 ◁ C2×C4 ◁ C22×C4

Complements

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

NH ≅ G/Ntype
1. C22×C4×C22⋊H(3,𝔽3)C2semidirect
3. C2×C4×(C3⋊S4)⋊C3C2semidirect
4. #10593666⋊C3C2semidirect
5. #10593647⋊C3C2semidirect
6. #10593645⋊C3C2semidirect
7. C4×(C3⋊SL(2,ℤ/4))⋊C3C2semidirect
8. C4×#64269C3semidirect
15. #64269⋊C3C4direct (N × H)
21. C24×C32×C4D3semidirect
23. C22×C3×C4×A4C2×C3semidirect
25. C2×C4×C3⋊S4C2×C3semidirect
30. #10593666C2×C3semidirect
31. #10593647C2×C3semidirect
32. #10593645C2×C3semidirect
33. C4×C3⋊SL(2,ℤ/4)C2×C3semidirect
46. C22×C22⋊H(3,𝔽3)C2×C4semidirect
50. C2×(C3⋊S4)⋊C3C2×C4semidirect
55. C4×C22⋊H(3,𝔽3)D4semidirect
58. (C3⋊SL(2,ℤ/4))⋊C3C2×C4semidirect
88. #64269C3×C4semidirect
187. C24×C32C4×D3semidirect
196. C22×C3×A4C2×C3×C4semidirect
200. C2×C3⋊S4C2×C3×C4semidirect
222. C22×C32×C4#67semidirect
223. C22×C32×C4S4semidirect
253. C3×C4×A4C3×D4semidirect
256. C3⋊SL(2,ℤ/4)C2×C3×C4semidirect
294. C22⋊H(3,𝔽3)C4×D4semidirect
515. C24×C4(C3⋊D3)⋊C3semidirect
776. C22×C32C4×#67semidirect
777. C22×C32C4×S4semidirect
790. C3×A4C3×C4×D4semidirect
798. C32×C4GL(2,ℤ/4)semidirect
1103. C24C4×(C3⋊D3)⋊C3semidirect
1148. C22×C4#638⋊C3semidirect
1149. C22×C4(C3⋊S4)⋊C3semidirect
1309. C32C4×GL(2,ℤ/4)semidirect
1454. C22C4×#638⋊C3semidirect
1455. C22C4×(C3⋊S4)⋊C3semidirect
1467. C4#64269⋊C3direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C4×C22⋊H(3,𝔽3)2
C2×#64269⋊C32
C2×C4×(C3⋊S4)⋊C32
#10593666⋊C32
#10593647⋊C32
#10593645⋊C32
C4×(C3⋊SL(2,ℤ/4))⋊C32
C4×#642693
C3×C4×#9533
C4×#638⋊C34