Finite Group Databasebeta

← #25303463

Subgroups — #25303463

Order 11008.

2440 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583522C211yesmaximal, characteristic, complemented
2C2×#14583412C211yesmaximal, characteristic, complemented
3#19142886C211yesmaximal, characteristic, complemented
4#19142883C211yesmaximal, characteristic, complemented
5#19141139C211yesmaximal, characteristic, complemented
6#19141132C211yesmaximal, characteristic, complemented
7#19141076C211yesmaximal, characteristic, complemented
8#19141041C211yesmaximal, characteristic, complemented
9#19141008C211yesmaximal, characteristic, complemented
10#19140979C211yesmaximal, characteristic, complemented
11#19140978C211yesmaximal, characteristic, complemented
12#19140906C211yesmaximal, characteristic, complemented
13#19140900C211yesmaximal, characteristic, complemented
14#19140879C211yesmaximal, characteristic, complemented
15#19140875C211yesmaximal, characteristic, complemented
16#19140853C211yesmaximal, characteristic, complemented
17#19140834C211yesmaximal, characteristic, complemented
18#19140818C211yesmaximal, characteristic, complemented
19#19140800C211yesmaximal, characteristic, complemented
20#19140520C211yesmaximal, characteristic, complemented
21#19140443C211yesmaximal, characteristic, complemented
22#19140271C211yesmaximal, characteristic, complemented
23#19140204C211yesmaximal, characteristic, complemented
24#19140167C211yesmaximal, characteristic, complemented
25#19140157C211yesmaximal, characteristic, complemented
26#19139948C211yesmaximal, characteristic, complemented
27#19139770C211yesmaximal, characteristic, complemented
28#19138222C211yesmaximal, characteristic, complemented
29#19138208C211yesmaximal, characteristic, complemented
30#19137227C211yesmaximal, characteristic, complemented
31C43×#2692C211yesmaximal, characteristic, complemented
32C22×#10621902C2211yescharacteristic
33C23×C4×D43C2211yescharacteristic
34#14583522—28no—
35C2×#13063324C2211yescharacteristic, complemented
36C2×#13063323C2211yescharacteristic, complemented
37C2×#13063320C2211yescharacteristic
38C2×#13063320C2211yescharacteristic, complemented
39C2×#13063314C2211yescharacteristic
40C2×#13063313C2211yescharacteristic
41C2×#13063311C2211yescharacteristic
42C2×#13063311C2211yescharacteristic, complemented
43#14583412—28no—
44C2×#13063310C2211yescharacteristic
45C2×#13063310C2211yescharacteristic
46C2×#13063307C2211yescharacteristic
47C2×#13063307C2211yescharacteristic
48C2×#13063307C2211yescharacteristic, complemented
49C2×#13063305C2211yescharacteristic
50C2×#13063305C2211yescharacteristic
51C2×#13063305C2211yescharacteristic, complemented
52C2×#13063304C2211yescharacteristic
53C2×#13063301C2211yescharacteristic
54C2×#13063300C2211yescharacteristic
55C2×#13063299C2211yescharacteristic
56C2×#13063299C2211yescharacteristic
57C2×#13063298C2211yescharacteristic
58C2×#13063298C2211yescharacteristic, complemented
59C2×#13063295C2211yescharacteristic
60C2×#13063295C2211yescharacteristic
61C2×#13063293C2211yescharacteristic
62C2×Q8×Dic43C2211yescharacteristic, complemented
63C2×#13063287C2211yescharacteristic
64C2×#13063287C2211yescharacteristic
65C2×(C22⋊D43)⋊C4C2211yescharacteristic
66C2×(C22⋊D43)⋊C4C2211yescharacteristic
67C2×#13063284C2211yescharacteristic, complemented
68C2×#13063283C2211yescharacteristic
69#14582841C2211yescharacteristic, complemented
70#14582837C2211yescharacteristic, complemented
71#14582836C2211yescharacteristic, complemented
72#14582835C2211yescharacteristic
73#14582835C2211yescharacteristic, complemented
74#14582832C2211yescharacteristic, complemented
75#14582831C2211yescharacteristic, complemented
76#14582829C2211yescharacteristic, complemented
77#14582828C2211yescharacteristic
78#14582828C2211yescharacteristic
79#14582826C2211yescharacteristic
80#14582826C2211yescharacteristic
81#14582825C2211yescharacteristic, complemented
82#14582825C2211yescharacteristic, complemented
83#14582822C2211yescharacteristic, complemented
84#14582821C2211yescharacteristic
85#14582821C2211yescharacteristic, complemented
86#14582820C2211yescharacteristic, complemented
87#14582819C2211yescharacteristic, complemented
88#14582818C2211yescharacteristic, complemented
89#14582817C2211yescharacteristic
90#14582817C2211yescharacteristic
91#14582817C2211yescharacteristic
92#14582817C2211yescharacteristic, complemented
93#14582817C2211yescharacteristic, complemented
94#14582816C2211yescharacteristic
95#14582816C2211yescharacteristic
96#14582816C2211yescharacteristic
97#14582815C2211yescharacteristic
98#14582815C2211yescharacteristic
99#14582815C2211yescharacteristic, complemented
100#14582815C2211yescharacteristic, complemented
101#14582814C2211yescharacteristic
102#14582814C2211yescharacteristic
103#14582812C2211yescharacteristic, complemented
104#14582811C2211yescharacteristic
105#14582810C2211yescharacteristic
106#14582810C2211yescharacteristic, complemented
107#14582808C2211yescharacteristic
108#14582808C2211yescharacteristic
109#14582807C2211yescharacteristic
110#14582807C2211yescharacteristic
111#14582800C2211yescharacteristic
112#14582799C2211yescharacteristic
113#14582799C2211yescharacteristic
114#14582797C2211yescharacteristic, complemented
115#14582796C2211yescharacteristic, complemented
116#14582796C2211yescharacteristic, complemented
117#14582793C2211yescharacteristic
118#14582793C2211yescharacteristic, complemented
119#14582792C2211yescharacteristic, complemented
120#14582791C2211yescharacteristic
121#14582791C2211yescharacteristic, complemented
122#14582790C2211yescharacteristic
123#14582789C2211yescharacteristic
124#14582789C2211yescharacteristic
125#14582788C2211yescharacteristic
126#14582787C2211yescharacteristic
127#14582786C2211yescharacteristic, complemented
128#14582786C2211yescharacteristic, complemented
129#14582785C2211yescharacteristic, complemented
130#14582785C2211yescharacteristic, complemented
131#14582785C2211yescharacteristic, complemented
132#14582785C2211yescharacteristic, complemented
133#14582780C2211yescharacteristic, complemented
134#14582779C2211yescharacteristic
135#14582778C2211yescharacteristic
136#14582778C2211yescharacteristic, complemented
137#14582777C2211yescharacteristic
138#14582777C2211yescharacteristic
139#14582777C2211yescharacteristic
140#14582777C2211yescharacteristic, complemented
141#14582775C2211yescharacteristic
142#14582775C2211yescharacteristic
143#14582775C2211yescharacteristic
144#14582775C2211yescharacteristic
145#14582775C2211yescharacteristic, complemented
146#14582774C2211yescharacteristic
147#14582774C2211yescharacteristic
148#14582774C2211yescharacteristic
149#14582773C2211yescharacteristic
150#14582773C2211yescharacteristic
151#14582773C2211yescharacteristic
152#14582773C2211yescharacteristic
153#14582773C2211yescharacteristic
154#14582773C2211yescharacteristic
155#14582773C2211yescharacteristic, complemented
156#14582773C2211yescharacteristic, complemented
157#14582773C2211yescharacteristic, complemented
158#14582773C2211yescharacteristic, complemented
159#14582772C2211yescharacteristic
160#14582770C2211yescharacteristic, complemented
161#14582766C2211yescharacteristic, complemented
162#14582763C2211yescharacteristic, complemented
163#14582761C2211yescharacteristic
164#14582761C2211yescharacteristic
165#14582756C2211yescharacteristic
166#14582756C2211yescharacteristic
167#14582756C2211yescharacteristic, complemented
168#14582756C2211yescharacteristic, complemented
169#14582754C2211yescharacteristic
170#14582754C2211yescharacteristic
171#14582754C2211yescharacteristic
172C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
173#95×D43C2211yescharacteristic, complemented
174C2×C22⋊Q8×C43C2211yescharacteristic
175C2×C22⋊Q8×C43C2211yescharacteristic, complemented
176C43×#399C2211yescharacteristic
177C43×#398C2211yescharacteristic, complemented
178C43×#396C2211yescharacteristic, complemented
179C43×#395C2211yescharacteristic, complemented
180C43×#393C2211yescharacteristic
181C43×#393C2211yescharacteristic, complemented
182C43×#391C2211yescharacteristic, complemented
183C43×#390C2211yescharacteristic
184C43×#387C2211yescharacteristic, complemented
185C43×#386C2211yescharacteristic
186C43×#386C2211yescharacteristic
187C43×#385C2211yescharacteristic, complemented
188C43×#380C2211yescharacteristic
189C24×D43C2311yescharacteristic
190C2×#10621902—24no—
191C2×#10621902—42no—
192C2×#10621902—42no—
193C22×Dic86C2311yescharacteristic
194C22×Dic86C2311yescharacteristic
195C22×D172C2311yescharacteristic
196C22×D172C2311yescharacteristic
197C22×D172C2311yescharacteristic
198C22×D172C2311yescharacteristic
199C22×D172C2311yescharacteristic
200C22×C22⋊D43C2311yescharacteristic
201C22×C22⋊D43C2311yescharacteristic
202C22×C22⋊D43C2311yescharacteristic
203C22×C22⋊D43C2311yescharacteristic
204C22×C22⋊D43C2311yescharacteristic
205C22×C22⋊D43C2311yescharacteristic
206C23×Dic43C2311yescharacteristic
207C22×C4×D43—24no—
208C22×C4×D43—42no—
209C22×C4×D43—42no—
210C22×C4×D43C2311yescharacteristic
211C22×C4×D43C2311yescharacteristic
212C22×C4×D43C2311yescharacteristic
213C22×C4×D43C2311yescharacteristic
214C22×C4×D43C2311yescharacteristic
215C22×C4×D43C2311yescharacteristic
216C22×C4×D43C2311yescharacteristic
217C22×C4×D43C2311yescharacteristic
218#13063324—24no—
219#13063323—42no—
220#13063320—24no—
221#13063320—24no—
222#13063314—24no—
223#13063313—42no—
224#13063311—24no—
225#13063311—24no—
226#13063310—24no—
227#13063310—24no—
228#13063307—24no—
229#13063307—24no—
230#13063307—42no—
231#13063305—24no—
232#13063305—24no—
233#13063305—42no—
234#13063304—42no—
235#13063301—24no—
236#13063300—24no—
237#13063299—24no—
238#13063299—24no—
239#13063298—42no—
240#13063298—42no—
241#13063295—24no—
242#13063295—24no—
243#13063293—42no—
244Q8×Dic43—24no—
245#13063287—24no—
246#13063287D418yescomplemented
247(C22⋊D43)⋊C4—24no—
248(C22⋊D43)⋊C4—24no—
249#13063284—24no—
250#13063283—24no—
251C2×C4⋊Dic43C2311yescharacteristic
252C2×C4⋊Dic43C2311yescharacteristic
253C2×C4⋊Dic43C2311yescharacteristic
254C2×C4⋊Dic43C2311yescharacteristic
255C2×C4⋊Dic43C2311yescharacteristic
256C2×C4⋊Dic43C2311yescharacteristic
257C2×C4⋊Dic43C2311yescharacteristic
258C2×C4⋊Dic43C2311yescharacteristic
259C2×C4⋊Dic43C2311yescharacteristic
260C2×C4⋊Dic43C2311yescharacteristic
261C2×C4⋊Dic43C2311yescharacteristic
262C2×Dic43⋊C4C2311yescharacteristic
263C2×Dic43⋊C4C2311yescharacteristic
264C2×Dic43⋊C4C2311yescharacteristic
265C2×Dic43⋊C4C2311yescharacteristic
266C2×Dic43⋊C4C2311yescharacteristic
267C2×Dic43⋊C4C2311yescharacteristic
268C2×Dic43⋊C4C2311yescharacteristic
269C2×Dic43⋊C4C2311yescharacteristic
270C2×Dic43⋊C4C2311yescharacteristic
271C2×Dic43⋊C4C2311yescharacteristic
272C2×Dic43⋊C4C2311yescharacteristic
273C2×Dic43⋊C4C2311yescharacteristic
274C2×C22⋊Dic43C2311yescharacteristic
275C2×C22⋊Dic43C2311yescharacteristic
276C2×C22⋊Dic43C2311yescharacteristic
277C2×C22⋊Dic43C2311yescharacteristic
278C2×C22⋊Dic43C2311yescharacteristic
279C2×C22⋊Dic43C2311yescharacteristic
280C2×C22⋊Dic43C2311yescharacteristic
281C2×C22⋊Dic43C2311yescharacteristic
282C2×(C2×D43)⋊C4C2311yescharacteristic
283C2×(C2×D43)⋊C4C2311yescharacteristic
284C2×(C2×D43)⋊C4C2311yescharacteristic
285C2×(C2×D43)⋊C4C2311yescharacteristic
286C2×(C2×D43)⋊C4C2311yescharacteristic
287C2×(C2×D43)⋊C4C2311yescharacteristic
288C2×(C2×D43)⋊C4C2311yescharacteristic
289C2×(C2×D43)⋊C4C2311yescharacteristic
290C2×(C2×D43)⋊C4C2311yescharacteristic
291C2×(C2×D43)⋊C4C2311yescharacteristic
292C2×(C2×D43)⋊C4C2311yescharacteristic
293C2×(C2×D43)⋊C4C2311yescharacteristic
294C2×(C2×D43)⋊C4C2311yescharacteristic
295C2×(C2×D43)⋊C4C2311yescharacteristic
296C2×(C2×D43)⋊C4C2311yescharacteristic
297C2×(C2×D43)⋊C4C2311yescharacteristic
298C2×(C2×D43)⋊C4C2311yescharacteristic
299C2×(C2×D43)⋊C4C2311yescharacteristic
300C2×(C2×D43)⋊C4C2311yescharacteristic
301C2×(C2×D43)⋊C4C2311yescharacteristic
302C2×(C2×D43)⋊C4C2311yescharacteristic
303C2×(C2×D43)⋊C4C2311yescharacteristic
304C2×(C2×D43)⋊C4C2311yescharacteristic
305C2×(C2×D43)⋊C4C2311yescharacteristic
306C2×(C2×D43)⋊C4C2311yescharacteristic
307C2×(C2×D43)⋊C4C2311yescharacteristic
308C2×(C2×D43)⋊C4C2311yescharacteristic
309C2×(C2×D43)⋊C4C2311yescharacteristic
310C2×(C2×D43)⋊C4C2311yescharacteristic
311C2×(C2×D43)⋊C4C2311yescharacteristic
312C2×(C2×D43)⋊C4C2311yescharacteristic
313C2×(C2×D43)⋊C4C2311yescharacteristic
314C2×(C2×D43)⋊C4C2311yescharacteristic
315C2×(C2×D43)⋊C4C2311yescharacteristic
316C2×C4×Dic43C2311yescharacteristic
317C2×C4×Dic43C2311yescharacteristic
318C2×C4×Dic43C2311yescharacteristic
319C2×C4×Dic43C2311yescharacteristic
320C2×C4×Dic43C2311yescharacteristic
321C2×C4×Dic43C2311yescharacteristic
322C43⋊#95C2311yescharacteristic
323C43⋊#95C2311yescharacteristic
324C43⋊#95C2311yescharacteristic
325C43⋊#95C2311yescharacteristic
326C43⋊#95C2311yescharacteristic
327C43⋊#95C2311yescharacteristic
328C43⋊#95C2311yescharacteristic
329C43⋊#95C2311yescharacteristic
330C43⋊#95C2311yescharacteristic
331C43⋊#95C2311yescharacteristic
332C43⋊#95C2311yescharacteristic
333C43⋊#95C2311yescharacteristic
334C43⋊#95C2311yescharacteristic
335C43⋊#95C2311yescharacteristic
336C43⋊#95C2311yescharacteristic
337C43⋊#95C2311yescharacteristic
338C43⋊#95C2311yescharacteristic
339C43⋊#95C2311yescharacteristic
340C43⋊#95C2311yescharacteristic
341C43⋊#95C2311yescharacteristic
342C43⋊#95C2311yescharacteristic
343C43⋊#95C2311yescharacteristic
344C43⋊#95C2311yescharacteristic
345C43⋊#95C2311yescharacteristic
346C43⋊#95C2311yescharacteristic
347C43⋊#95C2311yescharacteristic
348C22×Q8×C43C2311yescharacteristic
349C22×Q8×C43C2311yescharacteristic
350C22×D4×C43C2311yescharacteristic
351C23×C4×C43C2311yescharacteristic
352C23×C4×C43C2311yescharacteristic
353C22⋊Q8×C43—24no—
354C22⋊Q8×C43—24no—
355C2×C4⋊C4×C43C2311yescharacteristic
356C2×C4⋊C4×C43C2311yescharacteristic
357C2×C4⋊C4×C43C2311yescharacteristic
358C2×C4⋊C4×C43C2311yescharacteristic
359C2×C4⋊C4×C43C2311yescharacteristic
360C2×C4⋊C4×C43C2311yescharacteristic
361C2×C4⋊C4×C43C2311yescharacteristic
362C2×C4⋊C4×C43C2311yescharacteristic
363C2×C4⋊C4×C43C2311yescharacteristic
364C2×C22⋊C4×C43C2311yescharacteristic
365C2×C22⋊C4×C43C2311yescharacteristic
366C2×C22⋊C4×C43C2311yescharacteristic
367C2×C22⋊C4×C43C2311yescharacteristic
368C2×C22⋊C4×C43C2311yescharacteristic
369C2×C22⋊C4×C43C2311yescharacteristic
370C2×C22⋊C4×C43C2311yescharacteristic
371C2×C22⋊C4×C43C2311yescharacteristic
372C2×C22⋊C4×C43C2311yescharacteristic
373C2×C22⋊C4×C43C2311yescharacteristic
374C2×C42×C43C2311yescharacteristic
375#95×C43C2311yescharacteristic
376#95×C43C2311yescharacteristic
377#95×C43C2311yescharacteristic
378#95×C43C2311yescharacteristic
379#95×C43C2311yescharacteristic
380#95×C43C2311yescharacteristic
381#95×C43C2311yescharacteristic
382#95×C43C2311yescharacteristic
383#95×C43C2311yescharacteristic
384#95×C43C2311yescharacteristic
385C24×C43C2411yescharacteristic
386C24×C43C2411yescharacteristic
387C23×D43—22no—
388C23×D43—22no—
389C23×D43—22no—
390C23×D43—41no—
391C23×D43—41no—
392C23×D43—41no—
393C23×D43—41no—
394C23×D43C2411yescharacteristic
395C23×D43C2411yescharacteristic
396C23×D43C2411yescharacteristic
397C23×D43C2411yescharacteristic
398C2×Q8×C43—22no—
399C2×Q8×C43—22no—
400C2×Q8×C43—22no—
401C2×Q8×C43—41no—
402C2×Q8×C43—41no—
403C2×Q8×C43—41no—
404C2×D4×C43—22no—
405C2×D4×C43—41no—
406C2×D4×C43—41no—
407C22×C4×C43—22no—
408C22×C4×C43—22no—
409C22×C4×C43—22no—
410C22×C4×C43—41no—
411C22×C4×C43—41no—
412C22×C4×C43—41no—
413C22×C4×C43C2411yescharacteristic
414C22×C4×C43C2411yescharacteristic
415C22×C4×C43C2411yescharacteristic
416C22×C4×C43C2411yescharacteristic
417C22×C4×C43C2411yescharacteristic
418C22×C4×C43C2411yescharacteristic
419C22×C4×C43C2411yescharacteristic
420C22×C4×C43C2411yescharacteristic
421C22×C4×C43C2411yescharacteristic
422C22×C4×C43C2411yescharacteristic
423C22×C4×C43C2411yescharacteristic
424C22×C4×C43C2411yescharacteristic
425C22×C4×C43C2411yescharacteristic
426C2×C22⋊D43—22no—
427C2×C22⋊D43—22no—
428C2×C22⋊D43—22no—
429C2×C22⋊D43—22no—
430C2×C22⋊D43—22no—
431C2×C22⋊D43—22no—
432C2×C22⋊D43—22no—
433C2×C22⋊D43—41no—
434C2×C22⋊D43—41no—
435C2×C22⋊D43—41no—
436C2×C22⋊D43—41no—
437C2×C22⋊D43—41no—
438C2×C22⋊D43—41no—
439C2×C22⋊D43—41no—
440C2×C22⋊D43—41no—
441C2×C22⋊D43—41no—
442C2×C22⋊D43—41no—
443C2×C22⋊D43—41no—
444C22×Dic43—22no—
445C22×Dic43—41no—
446C22×Dic43—41no—
447C22×Dic43C2411yescharacteristic
448C22×Dic43C2411yescharacteristic
449C22×Dic43C2411yescharacteristic
450C22×Dic43C2411yescharacteristic
451C22×Dic43C2411yescharacteristic
452C22×Dic43C2411yescharacteristic
453C22×Dic43C2411yescharacteristic
454C22×Dic43C2411yescharacteristic
455C22×Dic43C2411yescharacteristic
456C22×Dic43C2411yescharacteristic
457C22×Dic43C2411yescharacteristic
458C22×Dic43C2411yescharacteristic
459#10621902—416no—
460C2×D172—22no—
461C2×D172—22no—
462C2×D172—22no—
463C2×D172—22no—
464C2×D172—22no—
465C2×D172—22no—
466C2×D172—22no—
467C2×D172—41no—
468C2×D172—41no—
469C2×D172—41no—
470C2×D172—41no—
471C2×D172—41no—
472C2×D172—41no—
473C2×D172—41no—
474C2×D172C2×D414yes—
475C2×C4×D43—22no—
476C2×C4×D43—22no—
477C2×C4×D43—22no—
478C2×C4×D43—22no—
479C2×C4×D43—22no—
480C2×C4×D43—22no—
481C2×C4×D43—22no—
482C2×C4×D43—22no—
483C2×C4×D43—41no—
484C2×C4×D43—41no—
485C2×C4×D43—41no—
486C2×C4×D43—41no—
487C2×C4×D43—41no—
488C2×C4×D43—41no—
489C2×C4×D43—41no—
490C2×C4×D43—41no—
491C2×C4×D43—41no—
492C2×C4×D43—41no—
493C2×C4×D43—41no—
494C2×C4×D43—41no—
495C2×C4×D43—41no—
496C2×C4×D43—41no—
497C2×C4×D43—416no—
498C2×C4×D43C2×D414yes—
499C2×C4×D43C2×D414yes—
500C2×Dic86—22no—
501C2×Dic86—22no—
502C2×Dic86—41no—
503C2×Dic86—41no—
504C2×Dic86—41no—
505C2×Dic86—41no—
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×C43C2×D414yes—
515C22⋊C4×C43—22no—
516C22⋊C4×C43—22no—
517C22⋊C4×C43—22no—
518C22⋊C4×C43—22no—
519C22⋊C4×C43—22no—
520C22⋊C4×C43—41no—
521C22⋊C4×C43—41no—
522C22⋊C4×C43—41no—
523C22⋊C4×C43—41no—
524C22⋊C4×C43—41no—
525C42×C43—41no—
526C22⋊Dic43—22no—
527C22⋊Dic43—22no—
528C22⋊Dic43—22no—
529C22⋊Dic43—41no—
530C22⋊Dic43—41no—
531C22⋊Dic43—41no—
532C22⋊Dic43—41no—
533C22⋊Dic43—41no—
534(C2×D43)⋊C4—22no—
535(C2×D43)⋊C4—22no—
536(C2×D43)⋊C4—22no—
537(C2×D43)⋊C4—22no—
538(C2×D43)⋊C4—22no—
539(C2×D43)⋊C4—22no—
540(C2×D43)⋊C4—22no—
541(C2×D43)⋊C4—22no—
542(C2×D43)⋊C4—22no—
543(C2×D43)⋊C4—22no—
544(C2×D43)⋊C4—22no—
545(C2×D43)⋊C4—22no—
546(C2×D43)⋊C4—22no—
547(C2×D43)⋊C4—22no—
548(C2×D43)⋊C4—22no—
549(C2×D43)⋊C4—41no—
550(C2×D43)⋊C4—41no—
551(C2×D43)⋊C4—41no—
552(C2×D43)⋊C4—41no—
553(C2×D43)⋊C4—41no—
554(C2×D43)⋊C4—41no—
555(C2×D43)⋊C4—41no—
556(C2×D43)⋊C4—41no—
557(C2×D43)⋊C4—41no—
558(C2×D43)⋊C4—41no—
559(C2×D43)⋊C4—41no—
560(C2×D43)⋊C4—41no—
561(C2×D43)⋊C4—41no—
562(C2×D43)⋊C4—41no—
563(C2×D43)⋊C4—41no—
564(C2×D43)⋊C4—41no—
565(C2×D43)⋊C4—41no—
566(C2×D43)⋊C4C2×D414yes—
567(C2×D43)⋊C4C2×D414yes—
568C4⋊Dic43—22no—
569C4⋊Dic43—22no—
570C4⋊Dic43—22no—
571C4⋊Dic43—22no—
572C4⋊Dic43—22no—
573C4⋊Dic43—22no—
574C4⋊Dic43—41no—
575C4⋊Dic43—41no—
576C4⋊Dic43—41no—
577C4⋊Dic43—41no—
578C4⋊Dic43—41no—
579Dic43⋊C4—22no—
580Dic43⋊C4—22no—
581Dic43⋊C4—22no—
582Dic43⋊C4—22no—
583Dic43⋊C4—22no—
584Dic43⋊C4—22no—
585Dic43⋊C4—22no—
586Dic43⋊C4—41no—
587Dic43⋊C4—41no—
588Dic43⋊C4—41no—
589Dic43⋊C4—41no—
590Dic43⋊C4—41no—
591C4×Dic43—22no—
592C4×Dic43—22no—
593C4×Dic43—22no—
594C4×Dic43—22no—
595C4×Dic43—41no—
596C4×Dic43C2×D414yes—
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×C432−1+412yes—
611C23×C43C2511yescharacteristic
612C22×D43—21no—
613C22×D43—21no—
614C22×D43—21no—
615C22×D43—21no—
616C22×D43—21no—
617C22×D43—21no—
618C22×D43—21no—
619C22×D43—21no—
620C22×D43—21no—
621C22×D43—21no—
622C22×D43—21no—
623C22×D43—21no—
624C22×D43—21no—
625C22×D43—21no—
626C22×D43—21no—
627C22×D43—21no—
628C22×D43—21no—
629C22×D43—21no—
630C22×D43—21no—
631C22×D43—21no—
632C22×D43—21no—
633C22×D43—21no—
634C22×D43—21no—
635C22×D43—21no—
636C22×D43—21no—
637C22×D43—44no—
638C22×D43—44no—
639C22×D43—44no—
640C22×D43—44no—
641C22×D43—44no—
642C22×D43—44no—
643C22×D43—44no—
644C22×D43C22×D412yes—
645C22×D43C22×D412yes—
646C22×D43H(5,𝔽2)12yes—
647Q8×C43—44no—
648Q8×C43—44no—
649D4×C43—82no—
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—44no—
686C2×C4×C43—44no—
687C2×C4×C43C22×D412yes—
688C2×C4×C43C22×D412yes—
689C2×C4×C43C22×D412yes—
690C2×C4×C43H(5,𝔽2)12yes—
691C22⋊D43—44no—
692C22⋊D43—44no—
693C22⋊D43—82no—
694C22⋊D43—82no—
695C22⋊D43—82no—
696C22⋊D43—82no—
697C2×Dic43—21no—
698C2×Dic43—21no—
699C2×Dic43—21no—
700C2×Dic43—21no—
701C2×Dic43—21no—
702C2×Dic43—21no—
703C2×Dic43—21no—
704C2×Dic43—21no—
705C2×Dic43—21no—
706C2×Dic43—21no—
707C2×Dic43—21no—
708C2×Dic43—21no—
709C2×Dic43—21no—
710C2×Dic43—21no—
711C2×Dic43—21no—
712C2×Dic43—21no—
713C2×Dic43—21no—
714C2×Dic43—21no—
715C2×Dic43—21no—
716C2×Dic43—21no—
717C2×Dic43—21no—
718C2×Dic43—21no—
719C2×Dic43—21no—
720C2×Dic43—21no—
721C2×Dic43—21no—
722C2×Dic43—21no—
723C2×Dic43—21no—
724C2×Dic43—21no—
725C2×Dic43—21no—
726C2×Dic43—21no—
727C2×Dic43—21no—
728C2×Dic43—21no—
729C2×Dic43—21no—
730C2×Dic43—21no—
731C2×Dic43—44no—
732C2×Dic43C22×D412yes—
733C2×Dic43C22×D412yes—
734D172—44no—
735D172—44no—
736D172—44no—
737D172—44no—
738D172—44no—
739C4×D43—28no—
740C4×D43—44no—
741C4×D43—44no—
742C4×D43—44no—
743C4×D43—44no—
744C4×D43—44no—
745C4×D43—82no—
746C4×D43—82no—
747Dic86—82no—
748Dic86—82no—
749#36712—431nomaximal, Sylow
750C22×C43—22no—
751C22×C43—22no—
752C22×C43—22no—
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×C43C23×D411yescharacteristic
765C22×C43C2×H(5,𝔽2)11yescharacteristic
766C22×C43C2×H(5,𝔽2)11yescharacteristic
767C22×C43C2×2−1+411yescharacteristic
768C22×C43#58511yescharacteristic
769C22×C43#58511yescharacteristic
770C22×C43#58511yescharacteristic
771C2×D43—22no—
772C2×D43—22no—
773C2×D43—22no—
774C2×D43—22no—
775C2×D43—22no—
776C2×D43—22no—
777C2×D43—22no—
778C2×D43—22no—
779C2×D43—22no—
780C2×D43—416no—
781C2×D43—41no—
782C2×D43—41no—
783C2×D43—41no—
784C2×D43—41no—
785C2×D43—41no—
786C2×D43—41no—
787C2×D43—41no—
788C2×D43—41no—
789C2×D43—41no—
790C2×D43—41no—
791C2×D43—41no—
792C2×D43—41no—
793C2×D43—41no—
794C2×D43—41no—
795C2×D43—41no—
796C2×D43—41no—
797C2×D43—41no—
798C2×D43—41no—
799C2×D43—41no—
800C4×C43—22no—
801C4×C43—22no—
802C4×C43—22no—
803C4×C43—22no—
804C4×C43—41no—
805C4×C43—41no—
806C4×C43—41no—
807C4×C43—41no—
808C4×C43—41no—
809C4×C43—41no—
810C4×C43—41no—
811C4×C43—41no—
812C4×C43—41no—
813Dic43—22no—
814Dic43—22no—
815Dic43—41no—
816Dic43—41no—
817Dic43—41no—
818Dic43—41no—
819Dic43—41no—
820Dic43—41no—
821Dic43—41no—
822Dic43—41no—
823Dic43—41no—
824Dic43—41no—
825C2×#542—431no—
826C2×#525—431no—
827#2849—431no—
828#2848—431no—
829#2696—431no—
830#2695—431no—
831#2692D4311yescharacteristic, complemented
832#2691—431no—
833#2689—431no—
834#2686—431no—
835#2685—431no—
836#2684—431no—
837#2677—431no—
838#2676—431no—
839#2674—431no—
840#2674—431no—
841#2672—431no—
842#2671—431no—
843#2670—431no—
844#2668—431no—
845#2638—431no—
846#2630—431no—
847#2609—431no—
848#2602—431no—
849#2599—431no—
850#2598—431no—
851#2580—431no—
852#2564—431no—
853#2432—431no—
854#2430—431no—
855#2318—431no—
856C2×C43—42no—
857C2×C43—81no—
858C2×C43#344911yescharacteristic
859C2×C43#348411yescharacteristic
860C2×C43#348911yescharacteristic
861C2×C43#353311yescharacteristic
862C2×C43#353511yescharacteristic
863C2×C43#354011yescharacteristic
864C2×C43#354111yescharacteristic
865D43—42no—
866D43—42no—
867D43—42no—
868D43—81no—
869C22×#41—431no—
870C24×C4—431no—
871#542—868no—
872C2×C4⋊Q8—431no—
873C2×C4⋊Q8—431no—
874C2×#126—431no—
875C2×#126—431no—
876C2×#124—431no—
877C2×#124—431no—
878C2×#124—431no—
879C2×#124—431no—
880#525—868no—
881C2×#123—431no—
882C2×#123—431no—
883C2×#123—431no—
884C2×#123—431no—
885C2×#123—431no—
886C2×C22⋊Q8—431no—
887C2×C22⋊Q8—431no—
888C2×C22⋊Q8—431no—
889C2×C22⋊Q8—431no—
890C2×C22⋊Q8—431no—
891C2×C22⋊Q8C2×D4311yescharacteristic
892C2×C22⋊Q8C2×D4311yescharacteristic, complemented
893C2×#121—431no—
894C2×#121—431no—
895C2×#121—431no—
896C2×#121—431no—
897C2×#121—431no—
898C2×#120—431no—
899C2×#120—431no—
900C2×#120—431no—
901C2×C4×Q8—431no—
902C2×C4×D4—431no—
903C2×C4×D4—431no—
904C2×C4×D4—431no—
905C2×C4×D4—431no—
906C2×#117—431no—
907C2×#117—431no—
908#400—431no—
909#400—431no—
910#399—431no—
911#399—431no—
912#399—431no—
913#399C2×D4311yescharacteristic
914#398—431no—
915#398—431no—
916#398—431no—
917#398C2×D4311yescharacteristic, complemented
918#397—431no—
919#397—431no—
920#397—431no—
921#397—431no—
922#397—431no—
923#397—431no—
924#396—431no—
925#396—431no—
926#396—431no—
927#396C2×D4311yescharacteristic, complemented
928#395—431no—
929#395—431no—
930#395—431no—
931#395C2×D4311yescharacteristic, complemented
932#394—431no—
933#394—431no—
934#394—431no—
935#394—431no—
936#394—431no—
937#394—431no—
938#394—431no—
939#394—431no—
940#394—431no—
941#394—431no—
942#394—431no—
943#394—431no—
944#394—431no—
945#394—431no—
946#393—431no—
947#393—431no—
948#393—431no—
949#393—431no—
950#393C2×D4311yescharacteristic
951#393C2×D4311yescharacteristic, complemented
952#392—431no—
953#392—431no—
954#392—431no—
955#392—431no—
956#391C2×D4311yescharacteristic, complemented
957#390—431no—
958#390—431no—
959#390—431no—
960#390C2×D4311yescharacteristic
961#389—431no—
962#389—431no—
963#389—431no—
964#388—431no—
965#388—431no—
966#388—431no—
967#388—431no—
968#388—431no—
969#388—431no—
970#388—431no—
971#388—431no—
972#388—431no—
973#388—431no—
974#387—431no—
975#387—431no—
976#387—431no—
977#387—431no—
978#387—431no—
979#387—431no—
980#387—431no—
981#387C2×D4311yescharacteristic, complemented
982#386—431no—
983#386—431no—
984#386—431no—
985#386—431no—
986#386—431no—
987#386—431no—
988#386—431no—
989#386—431no—
990#386—431no—
991#386—431no—
992#386—431no—
993#386—431no—
994#386C2×D4311yescharacteristic
995#386C2×D4311yescharacteristic
996#385—431no—
997#385—431no—
998#385—431no—
999#385—431no—
1000#385—431no—
1001#385—431no—
1002#385—431no—
1003#385—431no—
1004#385—431no—
1005#385—431no—
1006#385—431no—
1007#385—431no—
1008#385—431no—
1009#385—431no—
1010#385—431no—
1011#385C2×D4311yescharacteristic, complemented
1012#383—431no—
1013#382—431no—
1014#381—431no—
1015#381—431no—
1016#380—431no—
1017#380—431no—
1018#380—431no—
1019#380—431no—
1020#380C2×D4311yescharacteristic
1021#379—431no—
1022#379—431no—
1023#379—431no—
1024C4×C22⋊C4—431no—
1025C2×#95—431no—
1026C43#3671211yescharacteristic, complemented, Sylow
1027C25—431no—
1028C2×#41—864no—
1029C2×#41—1722no—
1030C2×#41—1722no—
1031C22×Q8—431no—
1032C22×Q8—431no—
1033C22×Q8C22×D4311yescharacteristic
1034C22×Q8C22×D4311yescharacteristic
1035C22×D4—431no—
1036C22×D4—431no—
1037C22×D4—431no—
1038C22×D4—431no—
1039C22×D4—431no—
1040C22×D4—431no—
1041C22×D4—431no—
1042C22×D4—431no—
1043C22×D4—431no—
1044C22×D4—431no—
1045C22×D4—431no—
1046C22×D4C22×D4311yescharacteristic
1047C23×C4—431no—
1048C23×C4—431no—
1049C23×C4—431no—
1050C23×C4—431no—
1051C23×C4—431no—
1052C23×C4—431no—
1053C23×C4—431no—
1054C23×C4—431no—
1055C23×C4—431no—
1056C23×C4—864no—
1057C23×C4—1722no—
1058C23×C4—1722no—
1059C23×C4C22×D4311yescharacteristic
1060C23×C4C22×D4311yescharacteristic
1061C4⋊Q8—864no—
1062C4⋊Q8—1722no—
1063#126—864no—
1064#126—864no—
1065#124—864no—
1066#124—864no—
1067#124—864no—
1068#124—1722no—
1069#123—864no—
1070#123—864no—
1071#123—864no—
1072#123—864no—
1073#123—1722no—
1074C22⋊Q8—24no—
1075C22⋊Q8—24no—
1076C22⋊Q8—864no—
1077C22⋊Q8—864no—
1078C22⋊Q8—864no—
1079C22⋊Q8—1722no—
1080C22⋊Q8—1722no—
1081#121—864no—
1082#121—864no—
1083#121—864no—
1084#121—1722no—
1085#121—1722no—
1086#120—864no—
1087#120—864no—
1088#120—1722no—
1089C4×Q8—864no—
1090C4×D4—438no—
1091C4×D4—864no—
1092C4×D4—864no—
1093C4×D4—864no—
1094#117—864no—
1095#117—864no—
1096C2×C4⋊C4—431no—
1097C2×C4⋊C4—431no—
1098C2×C4⋊C4—431no—
1099C2×C4⋊C4—431no—
1100C2×C4⋊C4—431no—
1101C2×C4⋊C4—431no—
1102C2×C4⋊C4—431no—
1103C2×C4⋊C4—431no—
1104C2×C4⋊C4—431no—
1105C2×C4⋊C4—431no—
1106C2×C4⋊C4—431no—
1107C2×C4⋊C4—431no—
1108C2×C4⋊C4—431no—
1109C2×C4⋊C4—431no—
1110C2×C4⋊C4—431no—
1111C2×C4⋊C4—431no—
1112C2×C4⋊C4—431no—
1113C2×C4⋊C4—431no—
1114C2×C4⋊C4—431no—
1115C2×C4⋊C4—431no—
1116C2×C4⋊C4—431no—
1117C2×C4⋊C4—431no—
1118C2×C4⋊C4—431no—
1119C2×C4⋊C4C22×D4311yescharacteristic
1120C2×C4⋊C4C22×D4311yescharacteristic
1121C2×C4⋊C4C22×D4311yescharacteristic
1122C2×C4⋊C4C22×D4311yescharacteristic
1123C2×C4⋊C4C22×D4311yescharacteristic
1124C2×C4⋊C4C22×D4311yescharacteristic
1125C2×C4⋊C4C22×D4311yescharacteristic
1126C2×C4⋊C4C22×D4311yescharacteristic
1127C2×C4⋊C4C22×D4311yescharacteristic
1128C2×C22⋊C4—431no—
1129C2×C22⋊C4—431no—
1130C2×C22⋊C4—431no—
1131C2×C22⋊C4—431no—
1132C2×C22⋊C4—431no—
1133C2×C22⋊C4—431no—
1134C2×C22⋊C4—431no—
1135C2×C22⋊C4—431no—
1136C2×C22⋊C4—431no—
1137C2×C22⋊C4—431no—
1138C2×C22⋊C4—431no—
1139C2×C22⋊C4—431no—
1140C2×C22⋊C4—431no—
1141C2×C22⋊C4—431no—
1142C2×C22⋊C4—431no—
1143C2×C22⋊C4—431no—
1144C2×C22⋊C4—431no—
1145C2×C22⋊C4—431no—
1146C2×C22⋊C4—431no—
1147C2×C22⋊C4—431no—
1148C2×C22⋊C4—431no—
1149C2×C22⋊C4—431no—
1150C2×C22⋊C4—431no—
1151C2×C22⋊C4—431no—
1152C2×C22⋊C4—431no—
1153C2×C22⋊C4—431no—
1154C2×C22⋊C4—431no—
1155C2×C22⋊C4—431no—
1156C2×C22⋊C4—431no—
1157C2×C22⋊C4—431no—
1158C2×C22⋊C4—431no—
1159C2×C22⋊C4—431no—
1160C2×C22⋊C4—431no—
1161C2×C22⋊C4—431no—
1162C2×C22⋊C4—431no—
1163C2×C22⋊C4—431no—
1164C2×C22⋊C4—431no—
1165C2×C22⋊C4—431no—
1166C2×C22⋊C4—431no—
1167C2×C22⋊C4—431no—
1168C2×C22⋊C4—431no—
1169C2×C22⋊C4—431no—
1170C2×C22⋊C4C22×D4311yescharacteristic
1171C2×C22⋊C4C22×D4311yescharacteristic
1172C2×C22⋊C4C22×D4311yescharacteristic
1173C2×C22⋊C4C22×D4311yescharacteristic
1174C2×C22⋊C4C22×D4311yescharacteristic
1175C2×C22⋊C4C22×D4311yescharacteristic
1176C2×C22⋊C4C22×D4311yescharacteristic
1177C2×C22⋊C4C22×D4311yescharacteristic
1178C2×C22⋊C4C22×D4311yescharacteristic
1179C2×C22⋊C4C22×D4311yescharacteristic
1180C2×C42—431no—
1181C2×C42—431no—
1182C2×C42—431no—
1183C2×C42—431no—
1184C2×C42—431no—
1185C2×C42—431no—
1186C2×C42C22×D4311yescharacteristic
1187#95—431no—
1188#95—431no—
1189#95—431no—
1190#95—431no—
1191#95—431no—
1192#95—431no—
1193#95—431no—
1194#95—431no—
1195#95—431no—
1196#95—431no—
1197#95—431no—
1198#95—431no—
1199#95—431no—
1200#95—431no—
1201#95—431no—
1202#95—431no—
1203#95—431no—
1204#95—431no—
1205#95—431no—
1206#95—431no—
1207#95—431no—
1208#95—431no—
1209#95—431no—
1210#95—431no—
1211#95—431no—
1212#95—431no—
1213#95C22×D4311yescharacteristic
1214#95C22×D4311yescharacteristic
1215#95C22×D4311yescharacteristic
1216#95C22×D4311yescharacteristic
1217#95C22×D4311yescharacteristic
1218#95C22×D4311yescharacteristic
1219#95C22×D4311yescharacteristic
1220#95C22×D4311yescharacteristic
1221#95C22×D4311yescharacteristic
1222#95C22×D4311yescharacteristic
1223C24—431no—
1224C24—431no—
1225C24—431no—
1226C24—431no—
1227C24—862no—
1228C24—862no—
1229C24—862no—
1230C24—1721no—
1231C24—1721no—
1232C24—1721no—
1233C24—1721no—
1234C24C23×D4311yescharacteristic
1235C24C23×D4311yescharacteristic
1236#41—17216no—
1237C2×Q8—22no—
1238C2×Q8—22no—
1239C2×Q8—22no—
1240C2×Q8—41no—
1241C2×Q8—41no—
1242C2×Q8—41no—
1243C2×Q8—862no—
1244C2×Q8—862no—
1245C2×Q8—1721no—
1246C2×Q8—1721no—
1247C2×Q8—1721no—
1248C2×Q8—1721no—
1249C2×D4—22no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—434no—
1253C2×D4—862no—
1254C2×D4—862no—
1255C2×D4—862no—
1256C2×D4—862no—
1257C2×D4—862no—
1258C2×D4—862no—
1259C2×D4—862no—
1260C2×D4—862no—
1261C2×D4—862no—
1262C2×D4—862no—
1263C2×D4—862no—
1264C2×D4—862no—
1265C2×D4—862no—
1266C2×D4—862no—
1267C2×D4—1721no—
1268C2×D4—1721no—
1269C2×D4—1721no—
1270C2×D4—1721no—
1271C2×D4—1721no—
1272C2×D4—1721no—
1273C2×D4—1721no—
1274C2×D4—1721no—
1275C2×D4—1721no—
1276C2×D4—1721no—
1277C2×D4—1721no—
1278C2×D4—1721no—
1279C2×D4—1721no—
1280C2×D4—1721no—
1281C2×D4—1721no—
1282C2×D4—1721no—
1283C2×D4—1721no—
1284C2×D4—1721no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—431no—
1292C22×C4—431no—
1293C22×C4—434no—
1294C22×C4—434no—
1295C22×C4—431no—
1296C22×C4—431no—
1297C22×C4—431no—
1298C22×C4—431no—
1299C22×C4—431no—
1300C22×C4—431no—
1301C22×C4—431no—
1302C22×C4—431no—
1303C22×C4—431no—
1304C22×C4—431no—
1305C22×C4—862no—
1306C22×C4—862no—
1307C22×C4—862no—
1308C22×C4—862no—
1309C22×C4—862no—
1310C22×C4—862no—
1311C22×C4—862no—
1312C22×C4—862no—
1313C22×C4—862no—
1314C22×C4—1721no—
1315C22×C4—1721no—
1316C22×C4—1721no—
1317C22×C4—1721no—
1318C22×C4—1721no—
1319C22×C4—1721no—
1320C22×C4—1721no—
1321C22×C4—1721no—
1322C22×C4—1721no—
1323C22×C4—1721no—
1324C22×C4—1721no—
1325C22×C4—1721no—
1326C22×C4—1721no—
1327C22×C4—1721no—
1328C22×C4—17216no—
1329C22×C4—1721no—
1330C22×C4—1721no—
1331C22×C4C23×D4311yescharacteristic
1332C22×C4C23×D4311yescharacteristic
1333C22×C4C23×D4311yescharacteristic
1334C22×C4C23×D4311yescharacteristic
1335C22×C4C23×D4311yescharacteristic
1336C22×C4C23×D4311yescharacteristic
1337C22×C4C23×D4311yescharacteristic
1338C22×C4C23×D4311yescharacteristic
1339C22×C4C23×D4311yescharacteristic
1340C22×C4C23×D4311yescharacteristic
1341C22×C4C23×D4311yescharacteristic
1342C22×C4C23×D4311yescharacteristic
1343C22×C4C23×D4311yescharacteristic
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—41no—
1349C4⋊C4—41no—
1350C4⋊C4—41no—
1351C4⋊C4—41no—
1352C4⋊C4—862no—
1353C4⋊C4—862no—
1354C4⋊C4—862no—
1355C4⋊C4—862no—
1356C4⋊C4—862no—
1357C4⋊C4—862no—
1358C4⋊C4—862no—
1359C4⋊C4—862no—
1360C4⋊C4—862no—
1361C4⋊C4—862no—
1362C4⋊C4—862no—
1363C4⋊C4—862no—
1364C4⋊C4—862no—
1365C4⋊C4—1721no—
1366C4⋊C4—1721no—
1367C4⋊C4—1721no—
1368C4⋊C4—1721no—
1369C4⋊C4—1721no—
1370C4⋊C4—1721no—
1371C4⋊C4—1721no—
1372C4⋊C4—1721no—
1373C4⋊C4—1721no—
1374C4⋊C4—1721no—
1375C4⋊C4D4×D4314yes—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—434no—
1387C22⋊C4—434no—
1388C22⋊C4—862no—
1389C22⋊C4—862no—
1390C22⋊C4—862no—
1391C22⋊C4—862no—
1392C22⋊C4—862no—
1393C22⋊C4—862no—
1394C22⋊C4—862no—
1395C22⋊C4—862no—
1396C22⋊C4—862no—
1397C22⋊C4—862no—
1398C22⋊C4—862no—
1399C22⋊C4—862no—
1400C22⋊C4—862no—
1401C22⋊C4—862no—
1402C22⋊C4—862no—
1403C22⋊C4—862no—
1404C22⋊C4—862no—
1405C22⋊C4—862no—
1406C22⋊C4—1721no—
1407C22⋊C4—1721no—
1408C22⋊C4—1721no—
1409C22⋊C4—1721no—
1410C22⋊C4—1721no—
1411C22⋊C4—1721no—
1412C22⋊C4—1721no—
1413C22⋊C4—1721no—
1414C22⋊C4—1721no—
1415C22⋊C4—1721no—
1416C22⋊C4—1721no—
1417C22⋊C4—1721no—
1418C22⋊C4—1721no—
1419C22⋊C4—1721no—
1420C22⋊C4—1721no—
1421C22⋊C4—1721no—
1422C22⋊C4—1721no—
1423C22⋊C4—1721no—
1424C22⋊C4—1721no—
1425C22⋊C4—1721no—
1426C22⋊C4—1721no—
1427C22⋊C4—1721no—
1428C42—41no—
1429C42—434no—
1430C42—862no—
1431C42—862no—
1432C42—862no—
1433C42—862no—
1434C42—1721no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—432no—
1449C23—432no—
1450C23—432no—
1451C23—861no—
1452C23—861no—
1453C23—861no—
1454C23—861no—
1455C23—861no—
1456C23—861no—
1457C23—861no—
1458C23—861no—
1459C23—861no—
1460C23—861no—
1461C23—861no—
1462C23—861no—
1463C23—861no—
1464C23—861no—
1465C23—861no—
1466C23—861no—
1467C23—861no—
1468C23—861no—
1469C23—861no—
1470C23—861no—
1471C23—861no—
1472C23—861no—
1473C23—861no—
1474C23—861no—
1475C23—861no—
1476C23—1724no—
1477C23—1724no—
1478C23—1724no—
1479C23—1724no—
1480C23—1724no—
1481C23—1724no—
1482C23—1724no—
1483C23#1306337312yes—
1484C23C24×D4311yescharacteristic
1485Q8—44no—
1486Q8—44no—
1487Q8—3442no—
1488Q8—3442no—
1489D4—82no—
1490D4—3442no—
1491D4—3442no—
1492D4—3442no—
1493D4—3442no—
1494D4—1724no—
1495D4—1724no—
1496D4—1724no—
1497D4—1724no—
1498D4—1724no—
1499D4—1724no—
1500D4—1724no—
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—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—44no—
1537C2×C4—44no—
1538C2×C4—432no—
1539C2×C4—432no—
1540C2×C4—868no—
1541C2×C4—861no—
1542C2×C4—861no—
1543C2×C4—861no—
1544C2×C4—861no—
1545C2×C4—861no—
1546C2×C4—861no—
1547C2×C4—861no—
1548C2×C4—861no—
1549C2×C4—861no—
1550C2×C4—861no—
1551C2×C4—861no—
1552C2×C4—861no—
1553C2×C4—861no—
1554C2×C4—861no—
1555C2×C4—861no—
1556C2×C4—861no—
1557C2×C4—861no—
1558C2×C4—861no—
1559C2×C4—861no—
1560C2×C4—861no—
1561C2×C4—861no—
1562C2×C4—861no—
1563C2×C4—861no—
1564C2×C4—861no—
1565C2×C4—861no—
1566C2×C4—861no—
1567C2×C4—861no—
1568C2×C4—861no—
1569C2×C4—861no—
1570C2×C4—861no—
1571C2×C4—861no—
1572C2×C4—861no—
1573C2×C4—861no—
1574C2×C4—861no—
1575C2×C4—3442no—
1576C2×C4—3442no—
1577C2×C4—1724no—
1578C2×C4—1724no—
1579C2×C4—1724no—
1580C2×C4—1724no—
1581C2×C4—1724no—
1582C2×C4—1724no—
1583C2×C4C2×D4×D4312yes—
1584C2×C4C2×D4×D4312yes—
1585C2×C4C2×D4×D4312yes—
1586C2×C4#1306337112yes—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—862no—
1602C22—862no—
1603C22—862no—
1604C22—862no—
1605C22—862no—
1606C22—862no—
1607C22—862no—
1608C22—862no—
1609C22—862no—
1610C22—17216no—
1611C22—1721no—
1612C22—1721no—
1613C22—1721no—
1614C22—1721no—
1615C22—1721no—
1616C22—1721no—
1617C22—1721no—
1618C22—1721no—
1619C22—1721no—
1620C22—1721no—
1621C22—1721no—
1622C22—1721no—
1623C22—1721no—
1624C22—1721no—
1625C22—1721no—
1626C22—1721no—
1627C22—1721no—
1628C22—1721no—
1629C22—1721no—
1630C22C22×D4×D4311yescharacteristic
1631C22H(5,𝔽2)×D4311yescharacteristic
1632C22C2×#1306337111yescharacteristic
1633C22C2×#1306337311yescharacteristic
1634C22#1458373411yescharacteristic
1635C22#1458373411yescharacteristic
1636C22#1458373611yescharacteristic
1637C4—22no—
1638C4—22no—
1639C4—22no—
1640C4—22no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—862no—
1651C4—862no—
1652C4—1721no—
1653C4—1721no—
1654C4—1721no—
1655C4—1721no—
1656C4—1721no—
1657C4—1721no—
1658C4—1721no—
1659C4—1721no—
1660C4—1721no—
1661C4—1721no—
1662C2—42no—
1663C2—81no—
1664C2—3441no—
1665C2—1722no—
1666C2—1722no—
1667C2—1722no—
1668C2#1914792611yescharacteristic
1669C2#1914822511yescharacteristic
1670C2#1914827211yescharacteristic
1671C2#1914875711yescharacteristic
1672C2#1914880911yescharacteristic
1673C2#1914886711yescharacteristic
1674C2#1914888911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2692C2
hypercenter#2692D43
hypocenterC43#36712
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2692

Complements

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

NH ≅ G/Ntype
1. C2×#14583522C2semidirect
2. C2×#14583412C2semidirect
3. #19142886C2semidirect
4. #19142883C2semidirect
5. #19141139C2semidirect
6. #19141132C2semidirect
7. #19141076C2semidirect
8. #19141041C2semidirect
9. #19141008C2semidirect
10. #19140979C2semidirect
11. #19140978C2semidirect
12. #19140906C2semidirect
13. #19140900C2semidirect
14. #19140879C2semidirect
15. #19140875C2semidirect
16. #19140853C2semidirect
17. #19140834C2semidirect
18. #19140818C2semidirect
19. #19140800C2semidirect
20. #19140520C2semidirect
21. #19140443C2semidirect
22. #19140271C2semidirect
23. #19140204C2semidirect
24. #19140167C2semidirect
25. #19140157C2semidirect
26. #19139948C2semidirect
27. #19139770C2semidirect
28. #19138222C2semidirect
29. #19138208C2semidirect
30. #19137227C2semidirect
31. C43×#2692C2semidirect
35. C2×#13063324C22semidirect
36. C2×#13063323C22semidirect
38. C2×#13063320C22semidirect
42. C2×#13063311C22semidirect
48. C2×#13063307C22semidirect
51. C2×#13063305C22semidirect
58. C2×#13063298C22semidirect
62. C2×Q8×Dic43C22semidirect
67. C2×#13063284C22semidirect
69. #14582841C22semidirect
70. #14582837C22semidirect
71. #14582836C22semidirect
73. #14582835C22semidirect
74. #14582832C22semidirect
75. #14582831C22semidirect
76. #14582829C22semidirect
81. #14582825C22semidirect
82. #14582825C22semidirect
83. #14582822C22semidirect
85. #14582821C22semidirect
86. #14582820C22semidirect
87. #14582819C22semidirect
88. #14582818C22semidirect
92. #14582817C22semidirect
93. #14582817C22semidirect
99. #14582815C22semidirect
100. #14582815C22semidirect
103. #14582812C22semidirect
106. #14582810C22semidirect
114. #14582797C22semidirect
115. #14582796C22semidirect
116. #14582796C22semidirect
118. #14582793C22semidirect
119. #14582792C22semidirect
121. #14582791C22semidirect
127. #14582786C22semidirect
128. #14582786C22semidirect
129. #14582785C22semidirect
130. #14582785C22semidirect
131. #14582785C22semidirect
132. #14582785C22semidirect
133. #14582780C22semidirect
136. #14582778C22semidirect
140. #14582777C22semidirect
145. #14582775C22semidirect
155. #14582773C22semidirect
156. #14582773C22semidirect
157. #14582773C22semidirect
158. #14582773C22semidirect
160. #14582770C22semidirect
161. #14582766C22semidirect
162. #14582763C22semidirect
167. #14582756C22semidirect
168. #14582756C22semidirect
172. C4×(C2×D43)⋊C4C22semidirect
173. #95×D43C22semidirect
175. C2×C22⋊Q8×C43C22semidirect
177. C43×#398C22semidirect
178. C43×#396C22semidirect
179. C43×#395C22semidirect
181. C43×#393C22semidirect
182. C43×#391C22semidirect
184. C43×#387C22semidirect
187. C43×#385C22semidirect
246. #13063287D4semidirect
831. #2692D43semidirect
892. C2×C22⋊Q8C2×D43semidirect
917. #398C2×D43semidirect
927. #396C2×D43semidirect
931. #395C2×D43semidirect
951. #393C2×D43semidirect
956. #391C2×D43semidirect
981. #387C2×D43semidirect
1011. #385C2×D43semidirect
1026. C43#36712semidirect

Maximal subgroups

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

subgroupindex
C2×#145835222
C2×#145834122
#191428862
#191428832
#191411392
#191411322
#191410762
#191410412
#191410082
#191409792
#191409782
#191409062
#191409002
#191408792
#191408752
#191408532
#191408342
#191408182
#191408002
#191405202
#191404432
#191402712
#191402042
#191401672
#191401572
#191399482
#191397702
#191382222
#191382082
#191372272
C43×#26922
#3671243