Finite Group Databasebeta

← C43×#36746 #24956763

Subgroups — C43×#36746 #24956763

Order 11008.

2152 conjugacy classes of subgroups.

The subgroup lattice has 1626 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C43×#540C211yesmaximal, characteristic, complemented
2C2×C43×#539C211yesmaximal, characteristic, complemented
3C43×#2854C211yesmaximal, characteristic, complemented
4C43×#2850C211yesmaximal, characteristic, complemented
5C43×#2719C211yesmaximal, characteristic, complemented
6C43×#2711C211yesmaximal, characteristic, complemented
7C43×#2709C211yesmaximal, characteristic, complemented
8C43×#2708C211yesmaximal, characteristic, complemented
9C43×#2706C211yesmaximal, characteristic, complemented
10C43×#2703C211yesmaximal, characteristic, complemented
11C43×#2695C211yesmaximal, characteristic, complemented
12C43×#2693C211yesmaximal, characteristic, complemented
13C43×#2691C211yesmaximal, characteristic, complemented
14C43×#2690C211yesmaximal, characteristic, complemented
15C43×#2688C211yesmaximal, characteristic, complemented
16C43×#2687C211yesmaximal, characteristic, complemented
17C43×#2676C211yesmaximal, characteristic, complemented
18C43×#2673C211yesmaximal, characteristic, complemented
19C43×#2672C211yesmaximal, characteristic, complemented
20C43×#2671C211yesmaximal, characteristic, complemented
21C43×#2663C211yesmaximal, characteristic, complemented
22C43×#2661C211yesmaximal, characteristic, complemented
23C43×#2611C211yesmaximal, characteristic, complemented
24C43×#2603C211yesmaximal, characteristic, complemented
25C43×#2602C211yesmaximal, characteristic, complemented
26C43×#2601C211yesmaximal, characteristic, complemented
27C43×#2591C211yesmaximal, characteristic, complemented
28C43×#2562C211yesmaximal, characteristic, complemented
29C43×#2414C211yesmaximal, characteristic, complemented
30C43×#2413C211yesmaximal, characteristic, complemented
31C43×#2290C211yesmaximal, characteristic, complemented
32C43×#540—28no—
33C43×#539—28no—
34C2×#127×C43C2211yescharacteristic
35C2×#126×C43C2211yescharacteristic
36C2×#126×C43C2211yescharacteristic
37C2×#125×C43C2211yescharacteristic
38C2×#125×C43C2211yescharacteristic
39C2×#125×C43C2211yescharacteristic
40C2×#124×C43C2211yescharacteristic
41C2×#123×C43C2211yescharacteristic
42C2×#123×C43C2211yescharacteristic
43C2×#123×C43C2211yescharacteristic
44C2×#123×C43C2211yescharacteristic
45C2×#123×C43C2211yescharacteristic
46C2×#123×C43C2211yescharacteristic
47C2×#123×C43C2211yescharacteristic
48C2×#123×C43C2211yescharacteristic
49C2×#123×C43C2211yescharacteristic
50C2×C22⋊Q8×C43C2211yescharacteristic
51C2×C22⋊Q8×C43C2211yescharacteristic
52C2×C22⋊Q8×C43C2211yescharacteristic
53C2×#121×C43C2211yescharacteristic
54C2×#121×C43C2211yescharacteristic
55C2×#121×C43C2211yescharacteristic
56C2×#121×C43C2211yescharacteristic
57C2×#121×C43C2211yescharacteristic
58C2×#121×C43C2211yescharacteristic
59C2×#121×C43C2211yescharacteristic
60C2×#121×C43C2211yescharacteristic
61C2×#121×C43C2211yescharacteristic
62C2×C4×D4×C43C2211yescharacteristic
63C2×C4×D4×C43C2211yescharacteristic
64C2×C4×D4×C43C2211yescharacteristic
65C2×#117×C43C2211yescharacteristic
66C2×#117×C43C2211yescharacteristic
67C22×C4⋊C4×C43C2211yescharacteristic
68C22×C42×C43C2211yescharacteristic
69C43×#400C2211yescharacteristic
70C43×#400C2211yescharacteristic
71C43×#400C2211yescharacteristic
72C43×#400C2211yescharacteristic
73C43×#400C2211yescharacteristic
74C43×#400C2211yescharacteristic
75C43×#399C2211yescharacteristic
76C43×#399C2211yescharacteristic
77C43×#398C2211yescharacteristic
78C43×#398C2211yescharacteristic
79C43×#398C2211yescharacteristic
80C43×#398C2211yescharacteristic
81C43×#398C2211yescharacteristic
82C43×#398C2211yescharacteristic
83C43×#397C2211yescharacteristic
84C43×#397C2211yescharacteristic
85C43×#397C2211yescharacteristic
86C43×#397C2211yescharacteristic
87C43×#397C2211yescharacteristic
88C43×#397C2211yescharacteristic
89C43×#396C2211yescharacteristic
90C43×#396C2211yescharacteristic
91C43×#396C2211yescharacteristic
92C43×#396C2211yescharacteristic
93C43×#395C2211yescharacteristic
94C43×#394C2211yescharacteristic
95C43×#394C2211yescharacteristic
96C43×#394C2211yescharacteristic
97C43×#394C2211yescharacteristic
98C43×#394C2211yescharacteristic
99C43×#394C2211yescharacteristic
100C43×#394C2211yescharacteristic
101C43×#394C2211yescharacteristic
102C43×#394C2211yescharacteristic
103C43×#394C2211yescharacteristic
104C43×#394C2211yescharacteristic
105C43×#394C2211yescharacteristic
106C43×#394C2211yescharacteristic
107C43×#394C2211yescharacteristic
108C43×#394C2211yescharacteristic
109C43×#393C2211yescharacteristic
110C43×#392C2211yescharacteristic
111C43×#392C2211yescharacteristic
112C43×#392C2211yescharacteristic
113C43×#392C2211yescharacteristic
114C43×#392C2211yescharacteristic
115C43×#392C2211yescharacteristic
116C43×#392C2211yescharacteristic
117C43×#391C2211yescharacteristic
118C43×#390C2211yescharacteristic
119C43×#390C2211yescharacteristic
120C43×#390C2211yescharacteristic
121C43×#390C2211yescharacteristic
122C43×#390C2211yescharacteristic
123C43×#390C2211yescharacteristic
124C43×#389C2211yescharacteristic
125C43×#389C2211yescharacteristic
126C43×#389C2211yescharacteristic
127C43×#389C2211yescharacteristic
128C43×#389C2211yescharacteristic
129C43×#388C2211yescharacteristic
130C43×#388C2211yescharacteristic
131C43×#388C2211yescharacteristic
132C43×#388C2211yescharacteristic
133C43×#388C2211yescharacteristic
134C43×#388C2211yescharacteristic
135C43×#388C2211yescharacteristic
136C43×#388C2211yescharacteristic
137C43×#388C2211yescharacteristic
138C43×#388C2211yescharacteristic
139C43×#388C2211yescharacteristic
140C43×#388C2211yescharacteristic
141C43×#388C2211yescharacteristic
142C43×#388C2211yescharacteristic
143C43×#388C2211yescharacteristic
144C43×#388C2211yescharacteristic
145C43×#387C2211yescharacteristic
146C43×#387C2211yescharacteristic
147C43×#387C2211yescharacteristic
148C43×#387C2211yescharacteristic
149C43×#387C2211yescharacteristic
150C43×#387C2211yescharacteristic
151C43×#386C2211yescharacteristic
152C43×#386C2211yescharacteristic
153C43×#386C2211yescharacteristic
154C43×#386C2211yescharacteristic
155C43×#386C2211yescharacteristic
156C43×#386C2211yescharacteristic
157C43×#386C2211yescharacteristic
158C43×#386C2211yescharacteristic
159C43×#386C2211yescharacteristic
160C43×#386C2211yescharacteristic
161C43×#386C2211yescharacteristic
162C43×#386C2211yescharacteristic
163C43×#386C2211yescharacteristic
164C43×#386C2211yescharacteristic
165C43×#386C2211yescharacteristic
166C43×#386C2211yescharacteristic
167C43×#386C2211yescharacteristic
168C43×#385C2211yescharacteristic
169C43×#385C2211yescharacteristic
170C43×#385C2211yescharacteristic
171C43×#385C2211yescharacteristic
172C43×#385C2211yescharacteristic
173C43×#385C2211yescharacteristic
174C43×#385C2211yescharacteristic
175C43×#385C2211yescharacteristic
176C43×#385C2211yescharacteristic
177C43×#382C2211yescharacteristic
178C43×#381C2211yescharacteristic
179C43×#380C2211yescharacteristic
180C43×#380C2211yescharacteristic
181C43×#380C2211yescharacteristic
182C43×#380C2211yescharacteristic
183C43×#380C2211yescharacteristic
184C43×#380C2211yescharacteristic
185C4×C4⋊C4×C43C2211yescharacteristic
186C4×C22⋊C4×C43C2211yescharacteristic
187C4×C22⋊C4×C43C2211yescharacteristic
188C43×#376C2211yescharacteristic
189C22×Q8×C43C2311yescharacteristic
190C22×D4×C43C2311yescharacteristic
191C22×D4×C43C2311yescharacteristic
192C22×D4×C43C2311yescharacteristic
193C22×D4×C43C2311yescharacteristic
194C22×D4×C43C2311yescharacteristic
195C22×D4×C43C2311yescharacteristic
196C22×D4×C43C2311yescharacteristic
197C22×D4×C43C2311yescharacteristic
198C22×D4×C43C2311yescharacteristic
199C22×D4×C43C2311yescharacteristic
200C22×D4×C43C2311yescharacteristic
201C22×D4×C43C2311yescharacteristic
202C22×D4×C43C2311yescharacteristic
203C22×D4×C43C2311yescharacteristic
204C22×D4×C43C2311yescharacteristic
205C23×C4×C43C2311yescharacteristic
206C23×C4×C43C2311yescharacteristic
207C23×C4×C43C2311yescharacteristic
208C23×C4×C43C2311yescharacteristic
209C23×C4×C43C2311yescharacteristic
210C23×C4×C43C2311yescharacteristic
211C23×C4×C43C2311yescharacteristic
212C23×C4×C43C2311yescharacteristic
213C23×C4×C43C2311yescharacteristic
214C23×C4×C43C2311yescharacteristic
215#127×C43—24no—
216#126×C43—24no—
217#126×C43—24no—
218#125×C43—24no—
219#125×C43—24no—
220#125×C43—24no—
221#124×C43—42no—
222#123×C43—24no—
223#123×C43—24no—
224#123×C43—24no—
225#123×C43—24no—
226#123×C43—24no—
227#123×C43—24no—
228#123×C43—24no—
229#123×C43—24no—
230#123×C43—42no—
231C22⋊Q8×C43—24no—
232C22⋊Q8×C43—24no—
233C22⋊Q8×C43—24no—
234#121×C43—24no—
235#121×C43—24no—
236#121×C43—24no—
237#121×C43—24no—
238#121×C43—24no—
239#121×C43—24no—
240#121×C43—24no—
241#121×C43—42no—
242#121×C43—42no—
243C4×D4×C43—24no—
244C4×D4×C43—24no—
245C4×D4×C43D418yescomplemented
246#117×C43—24no—
247#117×C43—42no—
248C2×C4⋊C4×C43—24no—
249C2×C4⋊C4×C43C2311yescharacteristic
250C2×C4⋊C4×C43C2311yescharacteristic
251C2×C4⋊C4×C43C2311yescharacteristic
252C2×C4⋊C4×C43C2311yescharacteristic
253C2×C4⋊C4×C43C2311yescharacteristic
254C2×C4⋊C4×C43C2311yescharacteristic
255C2×C4⋊C4×C43C2311yescharacteristic
256C2×C4⋊C4×C43C2311yescharacteristic
257C2×C4⋊C4×C43C2311yescharacteristic
258C2×C4⋊C4×C43C2311yescharacteristic
259C2×C4⋊C4×C43C2311yescharacteristic
260C2×C4⋊C4×C43C2311yescharacteristic
261C2×C4⋊C4×C43C2311yescharacteristic
262C2×C4⋊C4×C43C2311yescharacteristic
263C2×C4⋊C4×C43C2311yescharacteristic
264C2×C4⋊C4×C43C2311yescharacteristic
265C2×C4⋊C4×C43C2311yescharacteristic
266C2×C4⋊C4×C43C2311yescharacteristic
267C2×C4⋊C4×C43C2311yescharacteristic
268C2×C4⋊C4×C43C2311yescharacteristic
269C2×C4⋊C4×C43C2311yescharacteristic
270C2×C4⋊C4×C43C2311yescharacteristic
271C2×C4⋊C4×C43C2311yescharacteristic
272C2×C4⋊C4×C43C2311yescharacteristic
273C2×C4⋊C4×C43C2311yescharacteristic
274C2×C4⋊C4×C43C2311yescharacteristic
275C2×C4⋊C4×C43C2311yescharacteristic
276C2×C4⋊C4×C43C2311yescharacteristic
277C2×C4⋊C4×C43C2311yescharacteristic
278C2×C4⋊C4×C43C2311yescharacteristic
279C2×C4⋊C4×C43C2311yescharacteristic
280C2×C4⋊C4×C43C2311yescharacteristic
281C2×C4⋊C4×C43C2311yescharacteristic
282C2×C4⋊C4×C43C2311yescharacteristic
283C2×C22⋊C4×C43C2311yescharacteristic
284C2×C22⋊C4×C43C2311yescharacteristic
285C2×C22⋊C4×C43C2311yescharacteristic
286C2×C22⋊C4×C43C2311yescharacteristic
287C2×C22⋊C4×C43C2311yescharacteristic
288C2×C22⋊C4×C43C2311yescharacteristic
289C2×C22⋊C4×C43C2311yescharacteristic
290C2×C22⋊C4×C43C2311yescharacteristic
291C2×C22⋊C4×C43C2311yescharacteristic
292C2×C22⋊C4×C43C2311yescharacteristic
293C2×C22⋊C4×C43C2311yescharacteristic
294C2×C22⋊C4×C43C2311yescharacteristic
295C2×C22⋊C4×C43C2311yescharacteristic
296C2×C22⋊C4×C43C2311yescharacteristic
297C2×C22⋊C4×C43C2311yescharacteristic
298C2×C22⋊C4×C43C2311yescharacteristic
299C2×C22⋊C4×C43C2311yescharacteristic
300C2×C22⋊C4×C43C2311yescharacteristic
301C2×C22⋊C4×C43C2311yescharacteristic
302C2×C22⋊C4×C43C2311yescharacteristic
303C2×C22⋊C4×C43C2311yescharacteristic
304C2×C22⋊C4×C43C2311yescharacteristic
305C2×C22⋊C4×C43C2311yescharacteristic
306C2×C22⋊C4×C43C2311yescharacteristic
307C2×C22⋊C4×C43C2311yescharacteristic
308C2×C22⋊C4×C43C2311yescharacteristic
309C2×C22⋊C4×C43C2311yescharacteristic
310C2×C22⋊C4×C43C2311yescharacteristic
311C2×C22⋊C4×C43C2311yescharacteristic
312C2×C22⋊C4×C43C2311yescharacteristic
313C2×C22⋊C4×C43C2311yescharacteristic
314C2×C22⋊C4×C43C2311yescharacteristic
315C2×C22⋊C4×C43C2311yescharacteristic
316C2×C22⋊C4×C43C2311yescharacteristic
317C2×C22⋊C4×C43C2311yescharacteristic
318C2×C22⋊C4×C43C2311yescharacteristic
319C2×C22⋊C4×C43C2311yescharacteristic
320C2×C22⋊C4×C43C2311yescharacteristic
321C2×C22⋊C4×C43C2311yescharacteristic
322C2×C22⋊C4×C43C2311yescharacteristic
323C2×C22⋊C4×C43C2311yescharacteristic
324C2×C22⋊C4×C43C2311yescharacteristic
325C2×C22⋊C4×C43C2311yescharacteristic
326C2×C22⋊C4×C43C2311yescharacteristic
327C2×C22⋊C4×C43C2311yescharacteristic
328C2×C22⋊C4×C43C2311yescharacteristic
329C2×C22⋊C4×C43C2311yescharacteristic
330C2×C22⋊C4×C43C2311yescharacteristic
331C2×C22⋊C4×C43C2311yescharacteristic
332C2×C22⋊C4×C43C2311yescharacteristic
333C2×C42×C43—42no—
334C2×C42×C43C2311yescharacteristic
335C2×C42×C43C2311yescharacteristic
336C2×C42×C43C2311yescharacteristic
337C2×C42×C43C2311yescharacteristic
338C2×C42×C43C2311yescharacteristic
339C2×C42×C43C2311yescharacteristic
340C2×C42×C43C2311yescharacteristic
341C2×C42×C43C2311yescharacteristic
342C2×C42×C43C2311yescharacteristic
343#95×C43C2311yescharacteristic
344#95×C43C2311yescharacteristic
345#95×C43C2311yescharacteristic
346#95×C43C2311yescharacteristic
347#95×C43C2311yescharacteristic
348#95×C43C2311yescharacteristic
349#95×C43C2311yescharacteristic
350#95×C43C2311yescharacteristic
351#95×C43C2311yescharacteristic
352#95×C43C2311yescharacteristic
353#95×C43C2311yescharacteristic
354#95×C43C2311yescharacteristic
355#95×C43C2311yescharacteristic
356#95×C43C2311yescharacteristic
357#95×C43C2311yescharacteristic
358#95×C43C2311yescharacteristic
359#95×C43C2311yescharacteristic
360#95×C43C2311yescharacteristic
361#95×C43C2311yescharacteristic
362#95×C43C2311yescharacteristic
363#95×C43C2311yescharacteristic
364#95×C43C2311yescharacteristic
365#95×C43C2311yescharacteristic
366#95×C43C2311yescharacteristic
367#95×C43C2311yescharacteristic
368#95×C43C2311yescharacteristic
369#95×C43C2311yescharacteristic
370#95×C43C2311yescharacteristic
371#95×C43C2311yescharacteristic
372#95×C43C2311yescharacteristic
373#95×C43C2311yescharacteristic
374#95×C43C2311yescharacteristic
375#95×C43C2311yescharacteristic
376#95×C43C2311yescharacteristic
377#95×C43C2311yescharacteristic
378#95×C43C2311yescharacteristic
379C24×C43C2411yescharacteristic
380C24×C43C2411yescharacteristic
381C24×C43C2411yescharacteristic
382C24×C43C2411yescharacteristic
383C24×C43C2411yescharacteristic
384C24×C43C2411yescharacteristic
385C2×Q8×C43—22no—
386C2×Q8×C43—41no—
387C2×Q8×C43—41no—
388C2×D4×C43—22no—
389C2×D4×C43—22no—
390C2×D4×C43—22no—
391C2×D4×C43—22no—
392C2×D4×C43—22no—
393C2×D4×C43—22no—
394C2×D4×C43—22no—
395C2×D4×C43—22no—
396C2×D4×C43—22no—
397C2×D4×C43—22no—
398C2×D4×C43—22no—
399C2×D4×C43—22no—
400C2×D4×C43—41no—
401C2×D4×C43—41no—
402C2×D4×C43—41no—
403C2×D4×C43—41no—
404C2×D4×C43—41no—
405C2×D4×C43—41no—
406C2×D4×C43—41no—
407C2×D4×C43—41no—
408C2×D4×C43—41no—
409C2×D4×C43—41no—
410C2×D4×C43—41no—
411C2×D4×C43—41no—
412C2×D4×C43—41no—
413C2×D4×C43—41no—
414C2×D4×C43—41no—
415C2×D4×C43—41no—
416C2×D4×C43—41no—
417C2×D4×C43—41no—
418C2×D4×C43—41no—
419C2×D4×C43—41no—
420C2×D4×C43—41no—
421C2×D4×C43—41no—
422C2×D4×C43—41no—
423C2×D4×C43—41no—
424C2×D4×C43—41no—
425C2×D4×C43—41no—
426C2×D4×C43—41no—
427C2×D4×C43—41no—
428C2×D4×C43—41no—
429C2×D4×C43—41no—
430C2×D4×C43—41no—
431C2×D4×C43—41no—
432C2×D4×C43C2×D414yes—
433C22×C4×C43—22no—
434C22×C4×C43—22no—
435C22×C4×C43—22no—
436C22×C4×C43—22no—
437C22×C4×C43—22no—
438C22×C4×C43—22no—
439C22×C4×C43—22no—
440C22×C4×C43—41no—
441C22×C4×C43—41no—
442C22×C4×C43—41no—
443C22×C4×C43—41no—
444C22×C4×C43—41no—
445C22×C4×C43—41no—
446C22×C4×C43—41no—
447C22×C4×C43—41no—
448C22×C4×C43—41no—
449C22×C4×C43—41no—
450C22×C4×C43—41no—
451C22×C4×C43—41no—
452C22×C4×C43—41no—
453C22×C4×C43—41no—
454C22×C4×C43—41no—
455C22×C4×C43—41no—
456C22×C4×C43—41no—
457C22×C4×C43—41no—
458C22×C4×C43—41no—
459C22×C4×C43—41no—
460C22×C4×C43—41no—
461C22×C4×C43C2×D414yes—
462C22×C4×C43C2×D414yes—
463C22×C4×C43C2411yescharacteristic
464C22×C4×C43C2411yescharacteristic
465C22×C4×C43C2411yescharacteristic
466C22×C4×C43C2411yescharacteristic
467C22×C4×C43C2411yescharacteristic
468C22×C4×C43C2411yescharacteristic
469C22×C4×C43C2411yescharacteristic
470C22×C4×C43C2411yescharacteristic
471C22×C4×C43C2411yescharacteristic
472C22×C4×C43C2411yescharacteristic
473C22×C4×C43C2411yescharacteristic
474C22×C4×C43C2411yescharacteristic
475C22×C4×C43C2411yescharacteristic
476C22×C4×C43C2411yescharacteristic
477C22×C4×C43C2411yescharacteristic
478C22×C4×C43C2411yescharacteristic
479C22×C4×C43C2411yescharacteristic
480C22×C4×C43C2411yescharacteristic
481C22×C4×C43C2411yescharacteristic
482C22×C4×C43C2411yescharacteristic
483C22×C4×C43C2411yescharacteristic
484C22×C4×C43C2411yescharacteristic
485C22×C4×C43C2411yescharacteristic
486C22×C4×C43C2411yescharacteristic
487C22×C4×C43C2411yescharacteristic
488C4⋊C4×C43—22no—
489C4⋊C4×C43—22no—
490C4⋊C4×C43—22no—
491C4⋊C4×C43—22no—
492C4⋊C4×C43—22no—
493C4⋊C4×C43—22no—
494C4⋊C4×C43—22no—
495C4⋊C4×C43—22no—
496C4⋊C4×C43—22no—
497C4⋊C4×C43—22no—
498C4⋊C4×C43—22no—
499C4⋊C4×C43—22no—
500C4⋊C4×C43—22no—
501C4⋊C4×C43—22no—
502C4⋊C4×C43—22no—
503C4⋊C4×C43—22no—
504C4⋊C4×C43—22no—
505C4⋊C4×C43—22no—
506C4⋊C4×C43—22no—
507C4⋊C4×C43—22no—
508C4⋊C4×C43—22no—
509C4⋊C4×C43—22no—
510C4⋊C4×C43—41no—
511C4⋊C4×C43—41no—
512C4⋊C4×C43—41no—
513C4⋊C4×C43—41no—
514C4⋊C4×C43—41no—
515C4⋊C4×C43—41no—
516C4⋊C4×C43—41no—
517C4⋊C4×C43—41no—
518C4⋊C4×C43—41no—
519C4⋊C4×C43—41no—
520C4⋊C4×C43—41no—
521C4⋊C4×C43C2×D414yes—
522C22⋊C4×C43—22no—
523C22⋊C4×C43—22no—
524C22⋊C4×C43—22no—
525C22⋊C4×C43—22no—
526C22⋊C4×C43—22no—
527C22⋊C4×C43—22no—
528C22⋊C4×C43—22no—
529C22⋊C4×C43—22no—
530C22⋊C4×C43—22no—
531C22⋊C4×C43—22no—
532C22⋊C4×C43—22no—
533C22⋊C4×C43—22no—
534C22⋊C4×C43—22no—
535C22⋊C4×C43—22no—
536C22⋊C4×C43—22no—
537C22⋊C4×C43—22no—
538C22⋊C4×C43—22no—
539C22⋊C4×C43—22no—
540C22⋊C4×C43—22no—
541C22⋊C4×C43—41no—
542C22⋊C4×C43—41no—
543C22⋊C4×C43—41no—
544C22⋊C4×C43—41no—
545C22⋊C4×C43—41no—
546C22⋊C4×C43—41no—
547C22⋊C4×C43—41no—
548C22⋊C4×C43—41no—
549C22⋊C4×C43—41no—
550C22⋊C4×C43—41no—
551C22⋊C4×C43—41no—
552C22⋊C4×C43—41no—
553C22⋊C4×C43—41no—
554C22⋊C4×C43—41no—
555C22⋊C4×C43—41no—
556C22⋊C4×C43—41no—
557C22⋊C4×C43—41no—
558C22⋊C4×C43—41no—
559C22⋊C4×C43—41no—
560C22⋊C4×C43—41no—
561C22⋊C4×C43—41no—
562C22⋊C4×C43—41no—
563C22⋊C4×C43—41no—
564C22⋊C4×C43—41no—
565C22⋊C4×C43—41no—
566C22⋊C4×C43—41no—
567C22⋊C4×C43—41no—
568C22⋊C4×C43—41no—
569C22⋊C4×C43—41no—
570C22⋊C4×C43C2×D414yes—
571C22⋊C4×C43C2×D414yes—
572C42×C43—22no—
573C42×C43—22no—
574C42×C43—22no—
575C42×C43—22no—
576C42×C43—41no—
577C42×C43—41no—
578C42×C43—41no—
579C42×C43—41no—
580C42×C43C2×D414yes—
581C23×C43—21no—
582C23×C43—21no—
583C23×C43—21no—
584C23×C43—21no—
585C23×C43—21no—
586C23×C43—21no—
587C23×C43—21no—
588C23×C43—21no—
589C23×C43—21no—
590C23×C43—21no—
591C23×C43—21no—
592C23×C43—21no—
593C23×C43—21no—
594C23×C43—21no—
595C23×C43—21no—
596C23×C43—21no—
597C23×C43—21no—
598C23×C43—21no—
599C23×C43—21no—
600C23×C43—21no—
601C23×C43—21no—
602C23×C43—21no—
603C23×C43—21no—
604C23×C43—21no—
605C23×C43—21no—
606C23×C43—21no—
607C23×C43—21no—
608C23×C43—21no—
609C23×C43—21no—
610C23×C43—21no—
611C23×C43—21no—
612C23×C43—21no—
613C23×C43—21no—
614C23×C43—21no—
615C23×C43—21no—
616C23×C43—21no—
617C23×C43—21no—
618C23×C43—21no—
619C23×C43—21no—
620C23×C43—21no—
621C23×C43C22×D412yes—
622C23×C43C22×D412yes—
623C23×C43C2511yescharacteristic
624Q8×C43—82no—
625D4×C43—44no—
626D4×C43—44no—
627D4×C43—44no—
628D4×C43—82no—
629D4×C43—82no—
630D4×C43—82no—
631D4×C43—82no—
632D4×C43—82no—
633D4×C43—82no—
634D4×C43—82no—
635D4×C43—82no—
636D4×C43—82no—
637D4×C43—82no—
638D4×C43—82no—
639D4×C43—82no—
640C2×C4×C43—21no—
641C2×C4×C43—21no—
642C2×C4×C43—21no—
643C2×C4×C43—21no—
644C2×C4×C43—21no—
645C2×C4×C43—21no—
646C2×C4×C43—21no—
647C2×C4×C43—21no—
648C2×C4×C43—21no—
649C2×C4×C43—21no—
650C2×C4×C43—21no—
651C2×C4×C43—21no—
652C2×C4×C43—21no—
653C2×C4×C43—21no—
654C2×C4×C43—21no—
655C2×C4×C43—21no—
656C2×C4×C43—21no—
657C2×C4×C43—21no—
658C2×C4×C43—21no—
659C2×C4×C43—21no—
660C2×C4×C43—21no—
661C2×C4×C43—21no—
662C2×C4×C43—21no—
663C2×C4×C43—21no—
664C2×C4×C43—21no—
665C2×C4×C43—21no—
666C2×C4×C43—21no—
667C2×C4×C43—21no—
668C2×C4×C43—21no—
669C2×C4×C43—21no—
670C2×C4×C43—21no—
671C2×C4×C43—21no—
672C2×C4×C43—21no—
673C2×C4×C43—21no—
674C2×C4×C43—21no—
675C2×C4×C43—21no—
676C2×C4×C43—21no—
677C2×C4×C43—21no—
678C2×C4×C43—21no—
679C2×C4×C43—21no—
680C2×C4×C43—21no—
681C2×C4×C43—21no—
682C2×C4×C43—21no—
683C2×C4×C43—21no—
684C2×C4×C43—21no—
685C2×C4×C43—21no—
686C2×C4×C43—21no—
687C2×C4×C43—21no—
688C2×C4×C43—21no—
689C2×C4×C43—21no—
690C2×C4×C43—21no—
691C2×C4×C43—21no—
692C2×C4×C43—21no—
693C2×C4×C43—21no—
694C2×C4×C43—21no—
695C2×C4×C43—21no—
696C2×C4×C43—21no—
697C2×C4×C43—21no—
698C2×C4×C43—21no—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—21no—
705C2×C4×C43—21no—
706C2×C4×C43—21no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—44no—
710C2×C4×C43—44no—
711C2×C4×C43—44no—
712C2×C4×C43—44no—
713C2×C4×C43—44no—
714C2×C4×C43—44no—
715C2×C4×C43—82no—
716C2×C4×C43—82no—
717C2×C4×C43—82no—
718C2×C4×C43—82no—
719C2×C4×C43C22×D412yes—
720C2×C4×C43C22×D412yes—
721C2×C4×C43C22×D412yes—
722C2×C4×C43C22×D412yes—
723C2×C4×C43C22×D412yes—
724C2×C4×C43H(5,𝔽2)12yes—
725#36746C4311yesmaximal, characteristic, direct product factor, Sylow
726C22×C43—22no—
727C22×C43—22no—
728C22×C43—22no—
729C22×C43—22no—
730C22×C43—22no—
731C22×C43—22no—
732C22×C43—41no—
733C22×C43—41no—
734C22×C43—41no—
735C22×C43—41no—
736C22×C43—41no—
737C22×C43—41no—
738C22×C43—41no—
739C22×C43—41no—
740C22×C43—41no—
741C22×C43—41no—
742C22×C43—41no—
743C22×C43—41no—
744C22×C43—41no—
745C22×C43—41no—
746C22×C43—41no—
747C22×C43—41no—
748C22×C43—41no—
749C22×C43—41no—
750C22×C43—41no—
751C22×C43—41no—
752C22×C43—41no—
753C22×C43—41no—
754C22×C43—41no—
755C22×C43—41no—
756C22×C43—41no—
757C22×C43—41no—
758C22×C43—41no—
759C22×C43—41no—
760C22×C43—41no—
761C22×C43—41no—
762C22×C43—41no—
763C22×C43—41no—
764C22×C43—41no—
765C22×C43—41no—
766C22×C43—41no—
767C22×C43—41no—
768C22×C43C23×D411yescharacteristic
769C22×C43C2×H(5,𝔽2)11yescharacteristic
770C22×C43#58511yescharacteristic
771C22×C43#58511yescharacteristic
772C22×C43#58511yescharacteristic
773C22×C43#58511yescharacteristic
774C22×C43#58511yescharacteristic
775C4×C43—22no—
776C4×C43—22no—
777C4×C43—22no—
778C4×C43—22no—
779C4×C43—22no—
780C4×C43—22no—
781C4×C43—41no—
782C4×C43—41no—
783C4×C43—41no—
784C4×C43—41no—
785C4×C43—41no—
786C4×C43—41no—
787C4×C43—41no—
788C4×C43—41no—
789C4×C43—41no—
790C4×C43—41no—
791C4×C43—41no—
792C4×C43—41no—
793C4×C43—41no—
794C4×C43—41no—
795C4×C43—41no—
796C4×C43—41no—
797C4×C43—41no—
798C4×C43—41no—
799C4×C43—41no—
800C2×#540C2×C4311yescharacteristic, complemented
801C2×#539C2×C4311yescharacteristic, complemented
802#2854C2×C4311yescharacteristic, complemented
803#2850C2×C4311yescharacteristic, complemented
804#2719C2×C4311yescharacteristic, complemented
805#2711C2×C4311yescharacteristic, complemented
806#2709C2×C4311yescharacteristic, complemented
807#2708C2×C4311yescharacteristic, complemented
808#2706C2×C4311yescharacteristic, complemented
809#2703C2×C4311yescharacteristic, complemented
810#2695C2×C4311yescharacteristic, complemented
811#2693C2×C4311yescharacteristic, complemented
812#2691C2×C4311yescharacteristic, complemented
813#2690C2×C4311yescharacteristic, complemented
814#2688C2×C4311yescharacteristic, complemented
815#2687C2×C4311yescharacteristic, complemented
816#2676C2×C4311yescharacteristic, complemented
817#2673C2×C4311yescharacteristic, complemented
818#2672C2×C4311yescharacteristic, complemented
819#2671C2×C4311yescharacteristic, complemented
820#2663C2×C4311yescharacteristic, complemented
821#2661C2×C4311yescharacteristic, complemented
822#2611C2×C4311yescharacteristic, complemented
823#2603C2×C4311yescharacteristic, complemented
824#2602C2×C4311yescharacteristic, complemented
825#2601C2×C4311yescharacteristic, complemented
826#2591C2×C4311yescharacteristic, complemented
827#2562C2×C4311yescharacteristic, complemented
828#2414C2×C4311yescharacteristic, complemented
829#2413C2×C4311yescharacteristic, complemented
830#2290C2×C4311yescharacteristic, complemented
831C2×C43—42no—
832C2×C43—42no—
833C2×C43—81no—
834C2×C43—81no—
835C2×C43—81no—
836C2×C43—81no—
837C2×C43#344911yescharacteristic
838C2×C43#349611yescharacteristic
839C2×C43#350011yescharacteristic
840C2×C43#353311yescharacteristic
841C2×C43#353911yescharacteristic
842C2×C43#356611yescharacteristic
843C2×C43#356711yescharacteristic
844#540—28no—
845#539—28no—
846C2×#127C22×C4311yescharacteristic
847C2×#126C22×C4311yescharacteristic
848C2×#126C22×C4311yescharacteristic
849C2×#125C22×C4311yescharacteristic
850C2×#125C22×C4311yescharacteristic
851C2×#125C22×C4311yescharacteristic
852C2×#124C22×C4311yescharacteristic
853C2×#123C22×C4311yescharacteristic
854C2×#123C22×C4311yescharacteristic
855C2×#123C22×C4311yescharacteristic
856C2×#123C22×C4311yescharacteristic
857C2×#123C22×C4311yescharacteristic
858C2×#123C22×C4311yescharacteristic
859C2×#123C22×C4311yescharacteristic
860C2×#123C22×C4311yescharacteristic
861C2×#123C22×C4311yescharacteristic
862C2×C22⋊Q8C22×C4311yescharacteristic
863C2×C22⋊Q8C22×C4311yescharacteristic
864C2×C22⋊Q8C22×C4311yescharacteristic
865C2×#121C22×C4311yescharacteristic
866C2×#121C22×C4311yescharacteristic
867C2×#121C22×C4311yescharacteristic
868C2×#121C22×C4311yescharacteristic
869C2×#121C22×C4311yescharacteristic
870C2×#121C22×C4311yescharacteristic
871C2×#121C22×C4311yescharacteristic
872C2×#121C22×C4311yescharacteristic
873C2×#121C22×C4311yescharacteristic
874C2×C4×D4C22×C4311yescharacteristic
875C2×C4×D4C22×C4311yescharacteristic
876C2×C4×D4C22×C4311yescharacteristic
877C2×#117C22×C4311yescharacteristic
878C2×#117C22×C4311yescharacteristic
879C22×C4⋊C4C22×C4311yescharacteristic
880C22×C42C22×C4311yescharacteristic
881#400C22×C4311yescharacteristic
882#400C22×C4311yescharacteristic
883#400C22×C4311yescharacteristic
884#400C22×C4311yescharacteristic
885#400C22×C4311yescharacteristic
886#400C22×C4311yescharacteristic
887#399C22×C4311yescharacteristic
888#399C22×C4311yescharacteristic
889#398C22×C4311yescharacteristic
890#398C22×C4311yescharacteristic
891#398C22×C4311yescharacteristic
892#398C22×C4311yescharacteristic
893#398C22×C4311yescharacteristic
894#398C22×C4311yescharacteristic
895#397C22×C4311yescharacteristic
896#397C22×C4311yescharacteristic
897#397C22×C4311yescharacteristic
898#397C22×C4311yescharacteristic
899#397C22×C4311yescharacteristic
900#397C22×C4311yescharacteristic
901#396C22×C4311yescharacteristic
902#396C22×C4311yescharacteristic
903#396C22×C4311yescharacteristic
904#396C22×C4311yescharacteristic
905#395C22×C4311yescharacteristic
906#394C22×C4311yescharacteristic
907#394C22×C4311yescharacteristic
908#394C22×C4311yescharacteristic
909#394C22×C4311yescharacteristic
910#394C22×C4311yescharacteristic
911#394C22×C4311yescharacteristic
912#394C22×C4311yescharacteristic
913#394C22×C4311yescharacteristic
914#394C22×C4311yescharacteristic
915#394C22×C4311yescharacteristic
916#394C22×C4311yescharacteristic
917#394C22×C4311yescharacteristic
918#394C22×C4311yescharacteristic
919#394C22×C4311yescharacteristic
920#394C22×C4311yescharacteristic
921#393C22×C4311yescharacteristic
922#392C22×C4311yescharacteristic
923#392C22×C4311yescharacteristic
924#392C22×C4311yescharacteristic
925#392C22×C4311yescharacteristic
926#392C22×C4311yescharacteristic
927#392C22×C4311yescharacteristic
928#392C22×C4311yescharacteristic
929#391C22×C4311yescharacteristic
930#390C22×C4311yescharacteristic
931#390C22×C4311yescharacteristic
932#390C22×C4311yescharacteristic
933#390C22×C4311yescharacteristic
934#390C22×C4311yescharacteristic
935#390C22×C4311yescharacteristic
936#389C22×C4311yescharacteristic
937#389C22×C4311yescharacteristic
938#389C22×C4311yescharacteristic
939#389C22×C4311yescharacteristic
940#389C22×C4311yescharacteristic
941#388C22×C4311yescharacteristic
942#388C22×C4311yescharacteristic
943#388C22×C4311yescharacteristic
944#388C22×C4311yescharacteristic
945#388C22×C4311yescharacteristic
946#388C22×C4311yescharacteristic
947#388C22×C4311yescharacteristic
948#388C22×C4311yescharacteristic
949#388C22×C4311yescharacteristic
950#388C22×C4311yescharacteristic
951#388C22×C4311yescharacteristic
952#388C22×C4311yescharacteristic
953#388C22×C4311yescharacteristic
954#388C22×C4311yescharacteristic
955#388C22×C4311yescharacteristic
956#388C22×C4311yescharacteristic
957#387C22×C4311yescharacteristic
958#387C22×C4311yescharacteristic
959#387C22×C4311yescharacteristic
960#387C22×C4311yescharacteristic
961#387C22×C4311yescharacteristic
962#387C22×C4311yescharacteristic
963#386C22×C4311yescharacteristic
964#386C22×C4311yescharacteristic
965#386C22×C4311yescharacteristic
966#386C22×C4311yescharacteristic
967#386C22×C4311yescharacteristic
968#386C22×C4311yescharacteristic
969#386C22×C4311yescharacteristic
970#386C22×C4311yescharacteristic
971#386C22×C4311yescharacteristic
972#386C22×C4311yescharacteristic
973#386C22×C4311yescharacteristic
974#386C22×C4311yescharacteristic
975#386C22×C4311yescharacteristic
976#386C22×C4311yescharacteristic
977#386C22×C4311yescharacteristic
978#386C22×C4311yescharacteristic
979#386C22×C4311yescharacteristic
980#385C22×C4311yescharacteristic
981#385C22×C4311yescharacteristic
982#385C22×C4311yescharacteristic
983#385C22×C4311yescharacteristic
984#385C22×C4311yescharacteristic
985#385C22×C4311yescharacteristic
986#385C22×C4311yescharacteristic
987#385C22×C4311yescharacteristic
988#385C22×C4311yescharacteristic
989#382C22×C4311yescharacteristic
990#381C22×C4311yescharacteristic
991#380C22×C4311yescharacteristic
992#380C22×C4311yescharacteristic
993#380C22×C4311yescharacteristic
994#380C22×C4311yescharacteristic
995#380C22×C4311yescharacteristic
996#380C22×C4311yescharacteristic
997C4×C4⋊C4C22×C4311yescharacteristic
998C4×C22⋊C4C22×C4311yescharacteristic
999C4×C22⋊C4C22×C4311yescharacteristic
1000#376C22×C4311yescharacteristic
1001C43#3674611yescharacteristic, direct product factor, Sylow
1002C22×Q8C23×C4311yescharacteristic
1003C22×D4C23×C4311yescharacteristic
1004C22×D4C23×C4311yescharacteristic
1005C22×D4C23×C4311yescharacteristic
1006C22×D4C23×C4311yescharacteristic
1007C22×D4C23×C4311yescharacteristic
1008C22×D4C23×C4311yescharacteristic
1009C22×D4C23×C4311yescharacteristic
1010C22×D4C23×C4311yescharacteristic
1011C22×D4C23×C4311yescharacteristic
1012C22×D4C23×C4311yescharacteristic
1013C22×D4C23×C4311yescharacteristic
1014C22×D4C23×C4311yescharacteristic
1015C22×D4C23×C4311yescharacteristic
1016C22×D4C23×C4311yescharacteristic
1017C22×D4C23×C4311yescharacteristic
1018C23×C4C23×C4311yescharacteristic
1019C23×C4C23×C4311yescharacteristic
1020C23×C4C23×C4311yescharacteristic
1021C23×C4C23×C4311yescharacteristic
1022C23×C4C23×C4311yescharacteristic
1023C23×C4C23×C4311yescharacteristic
1024C23×C4C23×C4311yescharacteristic
1025C23×C4C23×C4311yescharacteristic
1026C23×C4C23×C4311yescharacteristic
1027C23×C4C23×C4311yescharacteristic
1028#127—24no—
1029#126—24no—
1030#126—24no—
1031#125—24no—
1032#125—24no—
1033#125—24no—
1034#124—42no—
1035#123—24no—
1036#123—24no—
1037#123—24no—
1038#123—24no—
1039#123—24no—
1040#123—24no—
1041#123—24no—
1042#123—24no—
1043#123—42no—
1044C22⋊Q8—24no—
1045C22⋊Q8—24no—
1046C22⋊Q8—24no—
1047#121—24no—
1048#121—24no—
1049#121—24no—
1050#121—24no—
1051#121—24no—
1052#121—24no—
1053#121—24no—
1054#121—42no—
1055#121—42no—
1056C4×D4—24no—
1057C4×D4—24no—
1058C4×D4D4×C4318yescomplemented
1059#117—24no—
1060#117—42no—
1061C2×C4⋊C4—24no—
1062C2×C4⋊C4C23×C4311yescharacteristic
1063C2×C4⋊C4C23×C4311yescharacteristic
1064C2×C4⋊C4C23×C4311yescharacteristic
1065C2×C4⋊C4C23×C4311yescharacteristic
1066C2×C4⋊C4C23×C4311yescharacteristic
1067C2×C4⋊C4C23×C4311yescharacteristic
1068C2×C4⋊C4C23×C4311yescharacteristic
1069C2×C4⋊C4C23×C4311yescharacteristic
1070C2×C4⋊C4C23×C4311yescharacteristic
1071C2×C4⋊C4C23×C4311yescharacteristic
1072C2×C4⋊C4C23×C4311yescharacteristic
1073C2×C4⋊C4C23×C4311yescharacteristic
1074C2×C4⋊C4C23×C4311yescharacteristic
1075C2×C4⋊C4C23×C4311yescharacteristic
1076C2×C4⋊C4C23×C4311yescharacteristic
1077C2×C4⋊C4C23×C4311yescharacteristic
1078C2×C4⋊C4C23×C4311yescharacteristic
1079C2×C4⋊C4C23×C4311yescharacteristic
1080C2×C4⋊C4C23×C4311yescharacteristic
1081C2×C4⋊C4C23×C4311yescharacteristic
1082C2×C4⋊C4C23×C4311yescharacteristic
1083C2×C4⋊C4C23×C4311yescharacteristic
1084C2×C4⋊C4C23×C4311yescharacteristic
1085C2×C4⋊C4C23×C4311yescharacteristic
1086C2×C4⋊C4C23×C4311yescharacteristic
1087C2×C4⋊C4C23×C4311yescharacteristic
1088C2×C4⋊C4C23×C4311yescharacteristic
1089C2×C4⋊C4C23×C4311yescharacteristic
1090C2×C4⋊C4C23×C4311yescharacteristic
1091C2×C4⋊C4C23×C4311yescharacteristic
1092C2×C4⋊C4C23×C4311yescharacteristic
1093C2×C4⋊C4C23×C4311yescharacteristic
1094C2×C4⋊C4C23×C4311yescharacteristic
1095C2×C4⋊C4C23×C4311yescharacteristic
1096C2×C22⋊C4C23×C4311yescharacteristic
1097C2×C22⋊C4C23×C4311yescharacteristic
1098C2×C22⋊C4C23×C4311yescharacteristic
1099C2×C22⋊C4C23×C4311yescharacteristic
1100C2×C22⋊C4C23×C4311yescharacteristic
1101C2×C22⋊C4C23×C4311yescharacteristic
1102C2×C22⋊C4C23×C4311yescharacteristic
1103C2×C22⋊C4C23×C4311yescharacteristic
1104C2×C22⋊C4C23×C4311yescharacteristic
1105C2×C22⋊C4C23×C4311yescharacteristic
1106C2×C22⋊C4C23×C4311yescharacteristic
1107C2×C22⋊C4C23×C4311yescharacteristic
1108C2×C22⋊C4C23×C4311yescharacteristic
1109C2×C22⋊C4C23×C4311yescharacteristic
1110C2×C22⋊C4C23×C4311yescharacteristic
1111C2×C22⋊C4C23×C4311yescharacteristic
1112C2×C22⋊C4C23×C4311yescharacteristic
1113C2×C22⋊C4C23×C4311yescharacteristic
1114C2×C22⋊C4C23×C4311yescharacteristic
1115C2×C22⋊C4C23×C4311yescharacteristic
1116C2×C22⋊C4C23×C4311yescharacteristic
1117C2×C22⋊C4C23×C4311yescharacteristic
1118C2×C22⋊C4C23×C4311yescharacteristic
1119C2×C22⋊C4C23×C4311yescharacteristic
1120C2×C22⋊C4C23×C4311yescharacteristic
1121C2×C22⋊C4C23×C4311yescharacteristic
1122C2×C22⋊C4C23×C4311yescharacteristic
1123C2×C22⋊C4C23×C4311yescharacteristic
1124C2×C22⋊C4C23×C4311yescharacteristic
1125C2×C22⋊C4C23×C4311yescharacteristic
1126C2×C22⋊C4C23×C4311yescharacteristic
1127C2×C22⋊C4C23×C4311yescharacteristic
1128C2×C22⋊C4C23×C4311yescharacteristic
1129C2×C22⋊C4C23×C4311yescharacteristic
1130C2×C22⋊C4C23×C4311yescharacteristic
1131C2×C22⋊C4C23×C4311yescharacteristic
1132C2×C22⋊C4C23×C4311yescharacteristic
1133C2×C22⋊C4C23×C4311yescharacteristic
1134C2×C22⋊C4C23×C4311yescharacteristic
1135C2×C22⋊C4C23×C4311yescharacteristic
1136C2×C22⋊C4C23×C4311yescharacteristic
1137C2×C22⋊C4C23×C4311yescharacteristic
1138C2×C22⋊C4C23×C4311yescharacteristic
1139C2×C22⋊C4C23×C4311yescharacteristic
1140C2×C22⋊C4C23×C4311yescharacteristic
1141C2×C22⋊C4C23×C4311yescharacteristic
1142C2×C22⋊C4C23×C4311yescharacteristic
1143C2×C22⋊C4C23×C4311yescharacteristic
1144C2×C22⋊C4C23×C4311yescharacteristic
1145C2×C22⋊C4C23×C4311yescharacteristic
1146C2×C42—42no—
1147C2×C42C23×C4311yescharacteristic
1148C2×C42C23×C4311yescharacteristic
1149C2×C42C23×C4311yescharacteristic
1150C2×C42C23×C4311yescharacteristic
1151C2×C42C23×C4311yescharacteristic
1152C2×C42C23×C4311yescharacteristic
1153C2×C42C23×C4311yescharacteristic
1154C2×C42C23×C4311yescharacteristic
1155C2×C42C23×C4311yescharacteristic
1156#95C23×C4311yescharacteristic
1157#95C23×C4311yescharacteristic
1158#95C23×C4311yescharacteristic
1159#95C23×C4311yescharacteristic
1160#95C23×C4311yescharacteristic
1161#95C23×C4311yescharacteristic
1162#95C23×C4311yescharacteristic
1163#95C23×C4311yescharacteristic
1164#95C23×C4311yescharacteristic
1165#95C23×C4311yescharacteristic
1166#95C23×C4311yescharacteristic
1167#95C23×C4311yescharacteristic
1168#95C23×C4311yescharacteristic
1169#95C23×C4311yescharacteristic
1170#95C23×C4311yescharacteristic
1171#95C23×C4311yescharacteristic
1172#95C23×C4311yescharacteristic
1173#95C23×C4311yescharacteristic
1174#95C23×C4311yescharacteristic
1175#95C23×C4311yescharacteristic
1176#95C23×C4311yescharacteristic
1177#95C23×C4311yescharacteristic
1178#95C23×C4311yescharacteristic
1179#95C23×C4311yescharacteristic
1180#95C23×C4311yescharacteristic
1181#95C23×C4311yescharacteristic
1182#95C23×C4311yescharacteristic
1183#95C23×C4311yescharacteristic
1184#95C23×C4311yescharacteristic
1185#95C23×C4311yescharacteristic
1186#95C23×C4311yescharacteristic
1187#95C23×C4311yescharacteristic
1188#95C23×C4311yescharacteristic
1189#95C23×C4311yescharacteristic
1190#95C23×C4311yescharacteristic
1191#95C23×C4311yescharacteristic
1192C24C24×C4311yescharacteristic
1193C24C24×C4311yescharacteristic
1194C24C24×C4311yescharacteristic
1195C24C24×C4311yescharacteristic
1196C24C24×C4311yescharacteristic
1197C24C24×C4311yescharacteristic
1198C2×Q8—22no—
1199C2×Q8—41no—
1200C2×Q8—41no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4C2×D4×C4314yes—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4C2×D4×C4314yes—
1275C22×C4C2×D4×C4314yes—
1276C22×C4C24×C4311yescharacteristic
1277C22×C4C24×C4311yescharacteristic
1278C22×C4C24×C4311yescharacteristic
1279C22×C4C24×C4311yescharacteristic
1280C22×C4C24×C4311yescharacteristic
1281C22×C4C24×C4311yescharacteristic
1282C22×C4C24×C4311yescharacteristic
1283C22×C4C24×C4311yescharacteristic
1284C22×C4C24×C4311yescharacteristic
1285C22×C4C24×C4311yescharacteristic
1286C22×C4C24×C4311yescharacteristic
1287C22×C4C24×C4311yescharacteristic
1288C22×C4C24×C4311yescharacteristic
1289C22×C4C24×C4311yescharacteristic
1290C22×C4C24×C4311yescharacteristic
1291C22×C4C24×C4311yescharacteristic
1292C22×C4C24×C4311yescharacteristic
1293C22×C4C24×C4311yescharacteristic
1294C22×C4C24×C4311yescharacteristic
1295C22×C4C24×C4311yescharacteristic
1296C22×C4C24×C4311yescharacteristic
1297C22×C4C24×C4311yescharacteristic
1298C22×C4C24×C4311yescharacteristic
1299C22×C4C24×C4311yescharacteristic
1300C22×C4C24×C4311yescharacteristic
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—41no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—41no—
1331C4⋊C4—41no—
1332C4⋊C4—41no—
1333C4⋊C4—41no—
1334C4⋊C4C2×D4×C4314yes—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4C2×D4×C4314yes—
1384C22⋊C4C2×D4×C4314yes—
1385C42—22no—
1386C42—22no—
1387C42—22no—
1388C42—22no—
1389C42—41no—
1390C42—41no—
1391C42—41no—
1392C42—41no—
1393C42C2×D4×C4314yes—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23C22×D4×C4312yes—
1435C23C22×D4×C4312yes—
1436C23C25×C4311yescharacteristic
1437Q8—82no—
1438D4—44no—
1439D4—44no—
1440D4—44no—
1441D4—82no—
1442D4—82no—
1443D4—82no—
1444D4—82no—
1445D4—82no—
1446D4—82no—
1447D4—82no—
1448D4—82no—
1449D4—82no—
1450D4—82no—
1451D4—82no—
1452D4—82no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—44no—
1523C2×C4—44no—
1524C2×C4—44no—
1525C2×C4—44no—
1526C2×C4—44no—
1527C2×C4—44no—
1528C2×C4—82no—
1529C2×C4—82no—
1530C2×C4—82no—
1531C2×C4—82no—
1532C2×C4C22×D4×C4312yes—
1533C2×C4C22×D4×C4312yes—
1534C2×C4C22×D4×C4312yes—
1535C2×C4C22×D4×C4312yes—
1536C2×C4C22×D4×C4312yes—
1537C2×C4H(5,𝔽2)×C4312yes—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22C23×D4×C4311yescharacteristic
1581C22C2×H(5,𝔽2)×C4311yescharacteristic
1582C22C43×#58511yescharacteristic
1583C22C43×#58511yescharacteristic
1584C22C43×#58511yescharacteristic
1585C22C43×#58511yescharacteristic
1586C22C43×#58511yescharacteristic
1587C4—22no—
1588C4—22no—
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—22no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C2—42no—
1613C2—42no—
1614C2—81no—
1615C2—81no—
1616C2—81no—
1617C2—81no—
1618C2C43×#344911yescharacteristic
1619C2C43×#349611yescharacteristic
1620C2C43×#350011yescharacteristic
1621C2C43×#353311yescharacteristic
1622C2C43×#353911yescharacteristic
1623C2C43×#356611yescharacteristic
1624C2C43×#356711yescharacteristic
subgroupG/H
center, socleC23×C43C25
commutator, Frattini, cosocleC23C25×C43
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C43 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C43×#540C2semidirect
2. C2×C43×#539C2semidirect
3. C43×#2854C2semidirect
4. C43×#2850C2semidirect
5. C43×#2719C2semidirect
6. C43×#2711C2semidirect
7. C43×#2709C2semidirect
8. C43×#2708C2semidirect
9. C43×#2706C2semidirect
10. C43×#2703C2semidirect
11. C43×#2695C2semidirect
12. C43×#2693C2semidirect
13. C43×#2691C2semidirect
14. C43×#2690C2semidirect
15. C43×#2688C2semidirect
16. C43×#2687C2semidirect
17. C43×#2676C2semidirect
18. C43×#2673C2semidirect
19. C43×#2672C2semidirect
20. C43×#2671C2semidirect
21. C43×#2663C2semidirect
22. C43×#2661C2semidirect
23. C43×#2611C2semidirect
24. C43×#2603C2semidirect
25. C43×#2602C2semidirect
26. C43×#2601C2semidirect
27. C43×#2591C2semidirect
28. C43×#2562C2semidirect
29. C43×#2414C2semidirect
30. C43×#2413C2semidirect
31. C43×#2290C2semidirect
245. C4×D4×C43D4semidirect
725. #36746C43direct (N × H)
800. C2×#540C2×C43semidirect
801. C2×#539C2×C43semidirect
802. #2854C2×C43semidirect
803. #2850C2×C43semidirect
804. #2719C2×C43semidirect
805. #2711C2×C43semidirect
806. #2709C2×C43semidirect
807. #2708C2×C43semidirect
808. #2706C2×C43semidirect
809. #2703C2×C43semidirect
810. #2695C2×C43semidirect
811. #2693C2×C43semidirect
812. #2691C2×C43semidirect
813. #2690C2×C43semidirect
814. #2688C2×C43semidirect
815. #2687C2×C43semidirect
816. #2676C2×C43semidirect
817. #2673C2×C43semidirect
818. #2672C2×C43semidirect
819. #2671C2×C43semidirect
820. #2663C2×C43semidirect
821. #2661C2×C43semidirect
822. #2611C2×C43semidirect
823. #2603C2×C43semidirect
824. #2602C2×C43semidirect
825. #2601C2×C43semidirect
826. #2591C2×C43semidirect
827. #2562C2×C43semidirect
828. #2414C2×C43semidirect
829. #2413C2×C43semidirect
830. #2290C2×C43semidirect
1001. C43#36746direct (N × H)
1058. C4×D4D4×C43semidirect

Maximal subgroups

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

subgroupindex
C2×C43×#5402
C2×C43×#5392
C43×#28542
C43×#28502
C43×#27192
C43×#27112
C43×#27092
C43×#27082
C43×#27062
C43×#27032
C43×#26952
C43×#26932
C43×#26912
C43×#26902
C43×#26882
C43×#26872
C43×#26762
C43×#26732
C43×#26722
C43×#26712
C43×#26632
C43×#26612
C43×#26112
C43×#26032
C43×#26022
C43×#26012
C43×#25912
C43×#25622
C43×#24142
C43×#24132
C43×#22902
#3674643