Finite Group Databasebeta

← #25305101

Subgroups — #25305101

Order 11008.

1690 conjugacy classes of subgroups.

The subgroup lattice has 1450 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19142908C211yesmaximal, characteristic, complemented
2#19142898C211yesmaximal, characteristic, complemented
3#19142421C211yesmaximal, characteristic, complemented
4#19142402C211yesmaximal, characteristic, complemented
5#19142224C211yesmaximal, characteristic, complemented
6#19142065C211yesmaximal, characteristic, complemented
7#19142030C211yesmaximal, characteristic, complemented
8#19141981C211yesmaximal, characteristic, complemented
9#19141941C211yesmaximal, characteristic, complemented
10#19141938C211yesmaximal, characteristic, complemented
11#19141788C211yesmaximal, characteristic, complemented
12#19141757C211yesmaximal, characteristic, complemented
13#19141685C211yesmaximal, characteristic, complemented
14#19141646C211yesmaximal, characteristic, complemented
15#19141604C211yesmaximal, characteristic, complemented
16#19141423C211yesmaximal, characteristic, complemented
17#19141074C211yesmaximal, characteristic, complemented
18#19141006C211yesmaximal, characteristic, complemented
19#19140551C211yesmaximal, characteristic, complemented
20#19140525C211yesmaximal, characteristic, complemented
21#19140072C211yesmaximal, characteristic, complemented
22#19139945C211yesmaximal, characteristic, complemented
23#19138421C211yesmaximal, characteristic, complemented
24#19138345C211yesmaximal, characteristic, complemented
25#19138339C211yesmaximal, characteristic, complemented
26#19138294C211yesmaximal, characteristic, complemented
27#19138034C211yesmaximal, characteristic
28#19137293C211yesmaximal, characteristic, complemented
29#19137223C211yesmaximal, characteristic, complemented
30C2×#14582784C211yesmaximal, characteristic, complemented
31C43×#2450C211yesmaximal, characteristic, complemented
32C2×#13063323C2211yescharacteristic
33C2×#13063318C2211yescharacteristic
34C2×#13063314C2211yescharacteristic
35C2×#13063302C2211yescharacteristic
36C2×#13063299C2211yescharacteristic
37C2×#13063298C2211yescharacteristic
38C2×#13063297C2211yescharacteristic
39C2×#13063297C2211yescharacteristic
40C2×C4×C22⋊D43C2211yescharacteristic
41C2×(C22⋊D43)⋊C4C2211yescharacteristic
42C22×C4⋊Dic43C2211yescharacteristic
43C22×Dic43⋊C4C2211yescharacteristic
44C22×C4×Dic43C2211yescharacteristic
45C43⋊#401C2211yescharacteristic
46#14582841C2211yescharacteristic
47#14582841C2211yescharacteristic
48#14582841C2211yescharacteristic
49#14582841C2211yescharacteristic
50#14582841C2211yescharacteristic
51#14582840C2211yescharacteristic
52#14582840C2211yescharacteristic
53#14582838C2211yescharacteristic
54#14582837C2211yescharacteristic
55#14582837C2211yescharacteristic
56#14582833C2211yescharacteristic
57#14582833C2211yescharacteristic
58#14582830C2211yescharacteristic
59#14582830C2211yescharacteristic
60#14582829C2211yescharacteristic
61#14582828C2211yescharacteristic
62#14582828C2211yescharacteristic
63#14582828C2211yescharacteristic
64#14582828C2211yescharacteristic
65#14582827C2211yescharacteristic
66#14582827C2211yescharacteristic
67#14582826C2211yescharacteristic
68#14582825C2211yescharacteristic
69#14582825C2211yescharacteristic
70#14582823C2211yescharacteristic
71#14582822C2211yescharacteristic
72#14582821C2211yescharacteristic
73#14582821C2211yescharacteristic
74#14582821C2211yescharacteristic
75#14582821C2211yescharacteristic
76#14582819C2211yescharacteristic
77#14582818C2211yescharacteristic
78#14582817C2211yescharacteristic
79#14582817C2211yescharacteristic
80#14582815C2211yescharacteristic
81#14582815C2211yescharacteristic
82#14582815C2211yescharacteristic
83#14582814C2211yescharacteristic
84#14582814C2211yescharacteristic
85#14582814C2211yescharacteristic
86#14582812C2211yescharacteristic
87#14582812C2211yescharacteristic
88#14582811C2211yescharacteristic
89#14582806C2211yescharacteristic
90#14582803C2211yescharacteristic
91#14582800C2211yescharacteristic
92#14582799C2211yescharacteristic
93#14582796C2211yescharacteristic
94#14582794C2211yescharacteristic
95#14582794C2211yescharacteristic
96#14582793C2211yescharacteristic
97#14582792C2211yescharacteristic
98#14582792C2211yescharacteristic
99#14582792C2211yescharacteristic
100#14582791C2211yescharacteristic
101#14582791C2211yescharacteristic
102#14582791C2211yescharacteristic
103#14582790C2211yescharacteristic
104#14582790C2211yescharacteristic
105#14582789C2211yescharacteristic
106#14582789C2211yescharacteristic
107#14582789C2211yescharacteristic
108#14582789C2211yescharacteristic
109#14582789C2211yescharacteristic
110#14582788C2211yescharacteristic
111#14582787C2211yescharacteristic
112#14582787C2211yescharacteristic
113#14582786C2211yescharacteristic
114#14582786C2211yescharacteristic
115#14582786C2211yescharacteristic
116#14582785C2211yescharacteristic
117#14582785C2211yescharacteristic
118#14582785C2211yescharacteristic
119#14582784C2211yescharacteristic
120#14582784C2211yescharacteristic
121#14582784C2211yescharacteristic
122#14582784C2211yescharacteristic
123#14582784C2211yescharacteristic
124#14582784C2211yescharacteristic
125#14582784C2211yescharacteristic
126#14582784C2211yescharacteristic
127#14582784C2211yescharacteristic
128#14582783C2211yescharacteristic
129#14582783C2211yescharacteristic
130#14582781C2211yescharacteristic
131#14582780C2211yescharacteristic
132#14582780C2211yescharacteristic
133#14582779C2211yescharacteristic
134#14582779C2211yescharacteristic
135#14582778C2211yescharacteristic
136#14582778C2211yescharacteristic
137#14582778C2211yescharacteristic
138#14582778C2211yescharacteristic
139#14582778C2211yescharacteristic
140#14582777C2211yescharacteristic
141#14582776C2211yescharacteristic
142#14582776C2211yescharacteristic
143#14582776C2211yescharacteristic
144#14582776C2211yescharacteristic
145#14582776C2211yescharacteristic
146#14582775C2211yescharacteristic
147#14582774C2211yescharacteristic
148#14582773C2211yescharacteristic
149#14582773C2211yescharacteristic
150#14582772C2211yescharacteristic
151#14582772C2211yescharacteristic
152#14582771C2211yescharacteristic
153#14582771C2211yescharacteristic
154#14582770C2211yescharacteristic
155#14582770C2211yescharacteristic
156#14582768C2211yescharacteristic
157#14582766C2211yescharacteristic
158#14582766C2211yescharacteristic
159#14582764C2211yescharacteristic
160#14582764C2211yescharacteristic
161#14582762C2211yescharacteristic
162#14582761C2211yescharacteristic
163#14582761C2211yescharacteristic
164#14582758C2211yescharacteristic
165#14582758C2211yescharacteristic
166#14582757C2211yescharacteristic
167#14582756C2211yescharacteristic
168C22⋊C4×Dic43C2211yescharacteristic
169C2×C43⋊#95C2211yescharacteristic
170C2×C43⋊#95C2211yescharacteristic
171C2×C43⋊#95C2211yescharacteristic
172C2×C22⋊Q8×C43C2211yescharacteristic
173C2×C4×D4×C43C2211yescharacteristic
174C43×#400C2211yescharacteristic
175C43×#398C2211yescharacteristic
176C43×#396C2211yescharacteristic
177C43×#393C2211yescharacteristic
178C43×#391C2211yescharacteristic
179C43×#387C2211yescharacteristic
180C43×#386C2211yescharacteristic
181C43×#386C2211yescharacteristic
182C43×#385C2211yescharacteristic
183C43×#385C2211yescharacteristic
184C43×#385C2211yescharacteristic
185C43×#380C2211yescharacteristic
186C2×#95×C43C2211yescharacteristic
187C22×Dic86C2311yescharacteristic
188C22×D172C2311yescharacteristic
189C22×C22⋊D43C2311yescharacteristic
190C22×C22⋊D43C2311yescharacteristic
191C22×C22⋊D43C2311yescharacteristic
192C22×C22⋊D43C2311yescharacteristic
193C23×Dic43C2311yescharacteristic
194C23×Dic43C2311yescharacteristic
195C23×Dic43C2311yescharacteristic
196C23×Dic43C2311yescharacteristic
197C22×C4×D43C2311yescharacteristic
198C22×C4×D43C2311yescharacteristic
199#13063323—42no—
200#13063318—42no—
201#13063314—42no—
202#13063302—42no—
203#13063299—42no—
204#13063298—42no—
205#13063297—24no—
206#13063297—42no—
207C4×C22⋊D43—42no—
208(C22⋊D43)⋊C4—24no—
209C2×C4⋊Dic43—24no—
210C2×C4⋊Dic43C2311yescharacteristic
211C2×C4⋊Dic43C2311yescharacteristic
212C2×C4⋊Dic43C2311yescharacteristic
213C2×C4⋊Dic43C2311yescharacteristic
214C2×C4⋊Dic43C2311yescharacteristic
215C2×C4⋊Dic43C2311yescharacteristic
216C2×C4⋊Dic43C2311yescharacteristic
217C2×C4⋊Dic43C2311yescharacteristic
218C2×Dic43⋊C4—42no—
219C2×Dic43⋊C4C2311yescharacteristic
220C2×Dic43⋊C4C2311yescharacteristic
221C2×Dic43⋊C4C2311yescharacteristic
222C2×Dic43⋊C4C2311yescharacteristic
223C2×Dic43⋊C4C2311yescharacteristic
224C2×Dic43⋊C4C2311yescharacteristic
225C2×Dic43⋊C4C2311yescharacteristic
226C2×Dic43⋊C4C2311yescharacteristic
227C2×Dic43⋊C4C2311yescharacteristic
228C2×Dic43⋊C4C2311yescharacteristic
229C2×Dic43⋊C4C2311yescharacteristic
230C2×Dic43⋊C4C2311yescharacteristic
231C2×Dic43⋊C4C2311yescharacteristic
232C2×Dic43⋊C4C2311yescharacteristic
233C2×Dic43⋊C4C2311yescharacteristic
234C2×Dic43⋊C4C2311yescharacteristic
235C2×Dic43⋊C4C2311yescharacteristic
236C2×Dic43⋊C4C2311yescharacteristic
237C2×C22⋊Dic43C2311yescharacteristic
238C2×C22⋊Dic43C2311yescharacteristic
239C2×C22⋊Dic43C2311yescharacteristic
240C2×C22⋊Dic43C2311yescharacteristic
241C2×C22⋊Dic43C2311yescharacteristic
242C2×C22⋊Dic43C2311yescharacteristic
243C2×C22⋊Dic43C2311yescharacteristic
244C2×C22⋊Dic43C2311yescharacteristic
245C2×(C2×D43)⋊C4C2311yescharacteristic
246C2×(C2×D43)⋊C4C2311yescharacteristic
247C2×(C2×D43)⋊C4C2311yescharacteristic
248C2×(C2×D43)⋊C4C2311yescharacteristic
249C2×(C2×D43)⋊C4C2311yescharacteristic
250C2×(C2×D43)⋊C4C2311yescharacteristic
251C2×(C2×D43)⋊C4C2311yescharacteristic
252C2×(C2×D43)⋊C4C2311yescharacteristic
253C2×(C2×D43)⋊C4C2311yescharacteristic
254C2×(C2×D43)⋊C4C2311yescharacteristic
255C2×(C2×D43)⋊C4C2311yescharacteristic
256C2×(C2×D43)⋊C4C2311yescharacteristic
257C2×(C2×D43)⋊C4C2311yescharacteristic
258C2×(C2×D43)⋊C4C2311yescharacteristic
259C2×(C2×D43)⋊C4C2311yescharacteristic
260C2×(C2×D43)⋊C4C2311yescharacteristic
261C2×(C2×D43)⋊C4C2311yescharacteristic
262C2×(C2×D43)⋊C4C2311yescharacteristic
263C2×(C2×D43)⋊C4C2311yescharacteristic
264C2×(C2×D43)⋊C4C2311yescharacteristic
265C2×(C2×D43)⋊C4C2311yescharacteristic
266C2×(C2×D43)⋊C4C2311yescharacteristic
267C2×C4×Dic43—42no—
268C2×C4×Dic43C2311yescharacteristic
269C2×C4×Dic43C2311yescharacteristic
270C2×C4×Dic43C2311yescharacteristic
271C2×C4×Dic43C2311yescharacteristic
272C2×C4×Dic43C2311yescharacteristic
273C2×C4×Dic43C2311yescharacteristic
274C2×C4×Dic43C2311yescharacteristic
275C2×C4×Dic43C2311yescharacteristic
276C43⋊#95C2311yescharacteristic
277C43⋊#95C2311yescharacteristic
278C43⋊#95C2311yescharacteristic
279C43⋊#95C2311yescharacteristic
280C43⋊#95C2311yescharacteristic
281C43⋊#95C2311yescharacteristic
282C43⋊#95C2311yescharacteristic
283C43⋊#95C2311yescharacteristic
284C43⋊#95C2311yescharacteristic
285C43⋊#95C2311yescharacteristic
286C43⋊#95C2311yescharacteristic
287C43⋊#95C2311yescharacteristic
288C43⋊#95C2311yescharacteristic
289C43⋊#95C2311yescharacteristic
290C43⋊#95C2311yescharacteristic
291C43⋊#95C2311yescharacteristic
292C43⋊#95C2311yescharacteristic
293C43⋊#95C2311yescharacteristic
294C43⋊#95C2311yescharacteristic
295C43⋊#95C2311yescharacteristic
296C43⋊#95C2311yescharacteristic
297C43⋊#95C2311yescharacteristic
298C43⋊#95C2311yescharacteristic
299C43⋊#95C2311yescharacteristic
300C43⋊#95C2311yescharacteristic
301C43⋊#95C2311yescharacteristic
302C43⋊#95C2311yescharacteristic
303C43⋊#95C2311yescharacteristic
304C43⋊#95C2311yescharacteristic
305C43⋊#95C2311yescharacteristic
306C43⋊#95C2311yescharacteristic
307C43⋊#95C2311yescharacteristic
308C43⋊#95C2311yescharacteristic
309C43⋊#95C2311yescharacteristic
310C43⋊#95C2311yescharacteristic
311C43⋊#95C2311yescharacteristic
312C43⋊#95C2311yescharacteristic
313C43⋊#95C2311yescharacteristic
314C43⋊#95C2311yescharacteristic
315C43⋊#95C2311yescharacteristic
316C43⋊#95C2311yescharacteristic
317C43⋊#95C2311yescharacteristic
318C43⋊#95C2311yescharacteristic
319C43⋊#95C2311yescharacteristic
320C22×Q8×C43C2311yescharacteristic
321C22×D4×C43C2311yescharacteristic
322C23×C4×C43C2311yescharacteristic
323C23×C4×C43C2311yescharacteristic
324C23×C4×C43C2311yescharacteristic
325C23×C4×C43C2311yescharacteristic
326C22⋊Q8×C43—42no—
327C4×D4×C43—42no—
328C2×C4⋊C4×C43C2311yescharacteristic
329C2×C4⋊C4×C43C2311yescharacteristic
330C2×C4⋊C4×C43C2311yescharacteristic
331C2×C4⋊C4×C43C2311yescharacteristic
332C2×C4⋊C4×C43C2311yescharacteristic
333C2×C4⋊C4×C43C2311yescharacteristic
334C2×C4⋊C4×C43C2311yescharacteristic
335C2×C4⋊C4×C43C2311yescharacteristic
336C2×C22⋊C4×C43C2311yescharacteristic
337C2×C22⋊C4×C43C2311yescharacteristic
338C2×C22⋊C4×C43C2311yescharacteristic
339C2×C22⋊C4×C43C2311yescharacteristic
340C2×C22⋊C4×C43C2311yescharacteristic
341C2×C22⋊C4×C43C2311yescharacteristic
342C2×C22⋊C4×C43C2311yescharacteristic
343C2×C22⋊C4×C43C2311yescharacteristic
344C2×C42×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
357C24×C43C2411yescharacteristic
358C24×C43C2411yescharacteristic
359C23×D43C2411yescharacteristic
360C23×D43C2411yescharacteristic
361C2×Q8×C43—22no—
362C2×Q8×C43—41no—
363C2×Q8×C43—41no—
364C2×D4×C43—22no—
365C2×D4×C43—22no—
366C2×D4×C43—22no—
367C22×C4×C43—22no—
368C22×C4×C43—22no—
369C22×C4×C43—22no—
370C22×C4×C43—22no—
371C22×C4×C43—41no—
372C22×C4×C43—41no—
373C22×C4×C43—41no—
374C22×C4×C43—41no—
375C22×C4×C43—41no—
376C22×C4×C43—41no—
377C22×C4×C43—41no—
378C22×C4×C43—41no—
379C22×C4×C43C2411yescharacteristic
380C22×C4×C43C2411yescharacteristic
381C22×C4×C43C2411yescharacteristic
382C22×C4×C43C2411yescharacteristic
383C22×C4×C43C2411yescharacteristic
384C22×C4×C43C2411yescharacteristic
385C22×C4×C43C2411yescharacteristic
386C22×C4×C43C2411yescharacteristic
387C22×C4×C43C2411yescharacteristic
388C22×C4×C43C2411yescharacteristic
389C22×C4×C43C2411yescharacteristic
390C22×C4×C43C2411yescharacteristic
391C22×C4×C43C2411yescharacteristic
392C2×C22⋊D43—22no—
393C2×C22⋊D43—22no—
394C2×C22⋊D43—22no—
395C2×C22⋊D43—22no—
396C2×C22⋊D43—22no—
397C2×C22⋊D43—22no—
398C2×C22⋊D43—22no—
399C2×C22⋊D43—41no—
400C2×C22⋊D43—41no—
401C2×C22⋊D43—41no—
402C2×C22⋊D43—41no—
403C2×C22⋊D43—41no—
404C22×Dic43—22no—
405C22×Dic43—22no—
406C22×Dic43—22no—
407C22×Dic43—41no—
408C22×Dic43—41no—
409C22×Dic43—41no—
410C22×Dic43—41no—
411C22×Dic43—41no—
412C22×Dic43—41no—
413C22×Dic43—41no—
414C22×Dic43—41no—
415C22×Dic43#4114yes—
416C22×Dic43C2411yescharacteristic
417C22×Dic43C2411yescharacteristic
418C22×Dic43C2411yescharacteristic
419C22×Dic43C2411yescharacteristic
420C22×Dic43C2411yescharacteristic
421C22×Dic43C2411yescharacteristic
422C22×Dic43C2411yescharacteristic
423C22×Dic43C2411yescharacteristic
424C22×Dic43C2411yescharacteristic
425C22×Dic43C2411yescharacteristic
426C22×Dic43C2411yescharacteristic
427C22×Dic43C2411yescharacteristic
428C22×Dic43C2411yescharacteristic
429C22×Dic43C2411yescharacteristic
430C2×D172—22no—
431C2×D172—41no—
432C2×D172—41no—
433C2×C4×D43—22no—
434C2×C4×D43—41no—
435C2×C4×D43—41no—
436C2×C4×D43—41no—
437C2×C4×D43—41no—
438C2×C4×D43—41no—
439C2×Dic86—41no—
440C2×Dic86—41no—
441C2×Dic86—41no—
442C4⋊C4×C43—41no—
443C4⋊C4×C43—41no—
444C4⋊C4×C43—41no—
445C4⋊C4×C43—41no—
446C4⋊C4×C43—41no—
447C4⋊C4×C43—41no—
448C4⋊C4×C43—41no—
449C4⋊C4×C43—41no—
450C22⋊C4×C43—22no—
451C22⋊C4×C43—22no—
452C22⋊C4×C43—22no—
453C22⋊C4×C43—22no—
454C22⋊C4×C43—41no—
455C22⋊C4×C43—41no—
456C22⋊C4×C43—41no—
457C22⋊C4×C43—41no—
458C42×C43—41no—
459C22⋊Dic43—22no—
460C22⋊Dic43—22no—
461C22⋊Dic43—22no—
462C22⋊Dic43—41no—
463C22⋊Dic43—41no—
464C22⋊Dic43—41no—
465C22⋊Dic43—41no—
466C22⋊Dic43—41no—
467(C2×D43)⋊C4—22no—
468(C2×D43)⋊C4—22no—
469(C2×D43)⋊C4—41no—
470(C2×D43)⋊C4—41no—
471(C2×D43)⋊C4—41no—
472(C2×D43)⋊C4—41no—
473(C2×D43)⋊C4—41no—
474(C2×D43)⋊C4—41no—
475(C2×D43)⋊C4—41no—
476(C2×D43)⋊C4—41no—
477(C2×D43)⋊C4—41no—
478(C2×D43)⋊C4—41no—
479(C2×D43)⋊C4—41no—
480(C2×D43)⋊C4—41no—
481(C2×D43)⋊C4—41no—
482(C2×D43)⋊C4—41no—
483(C2×D43)⋊C4—41no—
484(C2×D43)⋊C4—41no—
485(C2×D43)⋊C4—41no—
486(C2×D43)⋊C4—41no—
487(C2×D43)⋊C4—41no—
488(C2×D43)⋊C4—41no—
489C4⋊Dic43—22no—
490C4⋊Dic43—22no—
491C4⋊Dic43—22no—
492C4⋊Dic43—22no—
493C4⋊Dic43—41no—
494C4⋊Dic43—41no—
495C4⋊Dic43—41no—
496C4⋊Dic43—41no—
497Dic43⋊C4—22no—
498Dic43⋊C4—22no—
499Dic43⋊C4—22no—
500Dic43⋊C4—22no—
501Dic43⋊C4—22no—
502Dic43⋊C4—41no—
503Dic43⋊C4—41no—
504Dic43⋊C4—41no—
505Dic43⋊C4—41no—
506Dic43⋊C4—41no—
507Dic43⋊C4—41no—
508Dic43⋊C4—41no—
509Dic43⋊C4—41no—
510Dic43⋊C4—41no—
511Dic43⋊C4—41no—
512Dic43⋊C4—41no—
513Dic43⋊C4—41no—
514Dic43⋊C4—41no—
515C4×Dic43—22no—
516C4×Dic43—22no—
517C4×Dic43—22no—
518C4×Dic43—41no—
519C4×Dic43—41no—
520C4×Dic43—41no—
521C4×Dic43—41no—
522C4×Dic43—41no—
523C23×C43—21no—
524C23×C43—21no—
525C23×C43—21no—
526C23×C43—21no—
527C23×C43—21no—
528C23×C43—21no—
529C23×C43—21no—
530C23×C43—21no—
531C23×C43—21no—
532C23×C43—21no—
533C23×C43—21no—
534C23×C43C2×#4112yes—
535C23×C43H(5,𝔽2)12yes—
536C23×C432−1+412yes—
537C23×C43C2511yescharacteristic
538C22×D43—21no—
539C22×D43—21no—
540C22×D43—21no—
541C22×D43—21no—
542C22×D43—21no—
543C22×D43—21no—
544C22×D43—21no—
545C22×D43—21no—
546C22×D43—21no—
547C22×D43—21no—
548C22×D43—21no—
549C22×D43—21no—
550C22×D43—21no—
551C22×D43—21no—
552Q8×C43—82no—
553D4×C43—44no—
554C2×C4×C43—21no—
555C2×C4×C43—21no—
556C2×C4×C43—21no—
557C2×C4×C43—21no—
558C2×C4×C43—21no—
559C2×C4×C43—21no—
560C2×C4×C43—21no—
561C2×C4×C43—21no—
562C2×C4×C43—21no—
563C2×C4×C43—21no—
564C2×C4×C43—21no—
565C2×C4×C43—21no—
566C2×C4×C43—21no—
567C2×C4×C43—21no—
568C2×C4×C43—21no—
569C2×C4×C43—21no—
570C2×C4×C43—21no—
571C2×C4×C43—21no—
572C2×C4×C43—21no—
573C2×C4×C43—21no—
574C2×C4×C43—21no—
575C2×C4×C43—21no—
576C2×C4×C43—21no—
577C2×C4×C43—21no—
578C2×C4×C43—21no—
579C2×C4×C43—21no—
580C2×C4×C43—21no—
581C2×C4×C43—21no—
582C2×C4×C43—21no—
583C2×C4×C43—21no—
584C2×C4×C43—21no—
585C2×C4×C43—21no—
586C2×C4×C43—21no—
587C2×C4×C43—21no—
588C2×C4×C43—21no—
589C2×C4×C43—21no—
590C2×C4×C43—21no—
591C2×C4×C43—21no—
592C2×C4×C43—44no—
593C2×C4×C43—44no—
594C2×C4×C43—82no—
595C2×C4×C43—82no—
596C2×C4×C43H(5,𝔽2)12yes—
597C22⋊D43—44no—
598C22⋊D43—44no—
599C22⋊D43—82no—
600C22⋊D43—82no—
601C2×Dic43—21no—
602C2×Dic43—21no—
603C2×Dic43—21no—
604C2×Dic43—21no—
605C2×Dic43—21no—
606C2×Dic43—21no—
607C2×Dic43—21no—
608C2×Dic43—21no—
609C2×Dic43—21no—
610C2×Dic43—21no—
611C2×Dic43—21no—
612C2×Dic43—21no—
613C2×Dic43—21no—
614C2×Dic43—21no—
615C2×Dic43—21no—
616C2×Dic43—21no—
617C2×Dic43—21no—
618C2×Dic43—21no—
619C2×Dic43—21no—
620C2×Dic43—21no—
621C2×Dic43—21no—
622C2×Dic43—21no—
623C2×Dic43—21no—
624C2×Dic43—21no—
625C2×Dic43—21no—
626C2×Dic43—21no—
627C2×Dic43—21no—
628C2×Dic43—21no—
629C2×Dic43—21no—
630C2×Dic43—21no—
631C2×Dic43—21no—
632C2×Dic43—21no—
633C2×Dic43—21no—
634C2×Dic43—21no—
635C2×Dic43—21no—
636C2×Dic43—21no—
637C2×Dic43—21no—
638C2×Dic43—21no—
639C2×Dic43—21no—
640C2×Dic43—21no—
641C2×Dic43—44no—
642C2×Dic43—44no—
643C2×Dic43—44no—
644C2×Dic43—82no—
645C2×Dic43C2×#4112yes—
646C2×Dic43C2×#4112yes—
647D172—82no—
648C4×D43—82no—
649C4×D43—82no—
650Dic86—82no—
651#36781—431nomaximal, Sylow
652C22×C43—22no—
653C22×C43—22no—
654C22×C43—22no—
655C22×C43—22no—
656C22×C43—22no—
657C22×C43—22no—
658C22×C43—41no—
659C22×C43—41no—
660C22×C43—41no—
661C22×C43—41no—
662C22×C43—41no—
663C22×C43—41no—
664C22×C43—41no—
665C22×C43#54214yes—
666C22×C43C22×#4111yescharacteristic
667C22×C43C2×H(5,𝔽2)11yescharacteristic
668C22×C43C2×H(5,𝔽2)11yescharacteristic
669C22×C43C2×2−1+411yescharacteristic
670C22×C43#58511yescharacteristic
671C22×C43#58511yescharacteristic
672C22×C43#58511yescharacteristic
673C2×D43—41no—
674C2×D43—41no—
675C2×D43—41no—
676C2×D43—41no—
677C2×D43—41no—
678C2×D43—41no—
679C2×D43—41no—
680C2×D43—41no—
681C2×D43—41no—
682C2×D43—41no—
683C2×D43—41no—
684C2×D43—41no—
685C2×D43—41no—
686C2×D43—41no—
687C4×C43—22no—
688C4×C43—41no—
689C4×C43—41no—
690C4×C43—41no—
691C4×C43—41no—
692C4×C43—41no—
693C4×C43—41no—
694C4×C43—41no—
695C4×C43—41no—
696C4×C43—41no—
697C4×C43—41no—
698C4×C43—41no—
699C4×C43—41no—
700Dic43—22no—
701Dic43—22no—
702Dic43—41no—
703Dic43—41no—
704Dic43—41no—
705Dic43—41no—
706Dic43—41no—
707Dic43—41no—
708Dic43—41no—
709Dic43—41no—
710Dic43—41no—
711Dic43—41no—
712Dic43—41no—
713Dic43—41no—
714#2852—431no—
715#2850—431no—
716#2795—431no—
717#2793—431no—
718#2779—431no—
719#2767—431no—
720#2765—431no—
721#2761—431no—
722#2758—431no—
723#2757—431no—
724#2747—431no—
725#2745—431no—
726#2739—431no—
727#2737—431no—
728#2731—431no—
729#2716—431no—
730#2691—431no—
731#2686—431no—
732#2643—431no—
733#2639—431no—
734#2591—431no—
735#2579—431no—
736#2450—431no—
737#2450D4311yescharacteristic, complemented
738#2444—431no—
739#2444—431no—
740#2440—431no—
741#2416—431no—
742#2325—431no—
743#2318—431no—
744C2×#387—431no—
745C2×C43—24no—
746C2×C43—81no—
747C2×C43C2×#54211yescharacteristic
748C2×C43#349311yescharacteristic
749C2×C43#350511yescharacteristic
750C2×C43#353411yescharacteristic
751C2×C43#354111yescharacteristic
752C2×C43#355311yescharacteristic
753C2×C43#356011yescharacteristic
754D43—81no—
755D43—81no—
756C2×C4⋊Q8—431no—
757C2×#126—431no—
758C2×#124—431no—
759C2×C22⋊Q8—431no—
760C2×C22⋊Q8C2×D4311yescharacteristic
761C2×#121—431no—
762C2×#121—431no—
763C2×#121—431no—
764C2×#121—431no—
765C2×C4×D4—431no—
766C2×C4×D4—431no—
767C2×C4×D4C2×D4311yescharacteristic
768C22×C4⋊C4—431no—
769C22×C4⋊C4—431no—
770C22×C42—431no—
771#401—431no—
772#400—431no—
773#400—431no—
774#400—431no—
775#400—431no—
776#400—431no—
777#400—431no—
778#400—431no—
779#400—431no—
780#400—431no—
781#400—431no—
782#400C2×D4311yescharacteristic
783#398—431no—
784#398—431no—
785#398—431no—
786#398—431no—
787#398—431no—
788#398C2×D4311yescharacteristic
789#397—431no—
790#397—431no—
791#397—431no—
792#397—431no—
793#397—431no—
794#397—431no—
795#397—431no—
796#397—431no—
797#397—431no—
798#396—431no—
799#396—431no—
800#396—431no—
801#396—431no—
802#396—431no—
803#396—431no—
804#396C2×D4311yescharacteristic
805#395—431no—
806#395—431no—
807#394—431no—
808#394—431no—
809#394—431no—
810#394—431no—
811#394—431no—
812#394—431no—
813#394—431no—
814#394—431no—
815#393—431no—
816#393—431no—
817#393—431no—
818#393C2×D4311yescharacteristic
819#391—431no—
820#391—431no—
821#391C2×D4311yescharacteristic
822#390—431no—
823#390—431no—
824#389—431no—
825#389—431no—
826#389—431no—
827#388—431no—
828#388—431no—
829#388—431no—
830#388—431no—
831#388—431no—
832#388—431no—
833#388—431no—
834#388—431no—
835#388—431no—
836#388—431no—
837#388—431no—
838#388—431no—
839#388—431no—
840#388—431no—
841#388—431no—
842#388—431no—
843#388—431no—
844#387—431no—
845#387—431no—
846#387—431no—
847#387—431no—
848#387—431no—
849#387—431no—
850#387—431no—
851#387—431no—
852#387—431no—
853#387—431no—
854#387—431no—
855#387—431no—
856#387—431no—
857#387—431no—
858#387—431no—
859#387—431no—
860#387—431no—
861#387—431no—
862#387—431no—
863#387—431no—
864#387C2×D4311yescharacteristic
865#386—431no—
866#386—431no—
867#386—431no—
868#386—431no—
869#386—431no—
870#386—431no—
871#386—431no—
872#386—431no—
873#386—431no—
874#386—431no—
875#386—431no—
876#386—431no—
877#386—431no—
878#386—431no—
879#386C2×D4311yescharacteristic
880#386C2×D4311yescharacteristic
881#385—431no—
882#385—431no—
883#385—431no—
884#385—431no—
885#385—431no—
886#385—431no—
887#385—431no—
888#385—431no—
889#385—431no—
890#385C2×D4311yescharacteristic
891#385C2×D4311yescharacteristic
892#385C2×D4311yescharacteristic
893#384—431no—
894#383—431no—
895#383—431no—
896#382—431no—
897#382—431no—
898#381—431no—
899#381—431no—
900#381—431no—
901#380—431no—
902#380—431no—
903#380—431no—
904#380—431no—
905#380C2×D4311yescharacteristic
906C4×C22⋊C4—431no—
907C2×#95—431no—
908C2×#95—431no—
909C2×#95—431no—
910C2×#95C2×D4311yescharacteristic
911C43#3678111yescharacteristic, complemented, Sylow
912C22×Q8—431no—
913C22×Q8C22×D4311yescharacteristic
914C22×D4—431no—
915C22×D4—431no—
916C22×D4—431no—
917C22×D4—431no—
918C22×D4—431no—
919C22×D4C22×D4311yescharacteristic
920C23×C4—431no—
921C23×C4—431no—
922C23×C4—431no—
923C23×C4—431no—
924C23×C4—431no—
925C23×C4—431no—
926C23×C4C22×D4311yescharacteristic
927C23×C4C22×D4311yescharacteristic
928C23×C4C22×D4311yescharacteristic
929C23×C4C22×D4311yescharacteristic
930C4⋊Q8—1722no—
931#126—1722no—
932#124—1722no—
933C22⋊Q8—42no—
934C22⋊Q8—1722no—
935#121—864no—
936#121—1722no—
937#121—1722no—
938#121—1722no—
939C4×D4—42no—
940C4×D4—864no—
941C4×D4—1722no—
942C2×C4⋊C4—431no—
943C2×C4⋊C4—431no—
944C2×C4⋊C4—431no—
945C2×C4⋊C4—431no—
946C2×C4⋊C4—431no—
947C2×C4⋊C4—431no—
948C2×C4⋊C4—431no—
949C2×C4⋊C4—431no—
950C2×C4⋊C4—431no—
951C2×C4⋊C4—431no—
952C2×C4⋊C4—431no—
953C2×C4⋊C4—431no—
954C2×C4⋊C4—431no—
955C2×C4⋊C4—431no—
956C2×C4⋊C4—431no—
957C2×C4⋊C4—431no—
958C2×C4⋊C4—431no—
959C2×C4⋊C4—431no—
960C2×C4⋊C4—431no—
961C2×C4⋊C4—431no—
962C2×C4⋊C4—431no—
963C2×C4⋊C4—431no—
964C2×C4⋊C4—431no—
965C2×C4⋊C4—431no—
966C2×C4⋊C4—431no—
967C2×C4⋊C4—431no—
968C2×C4⋊C4—864no—
969C2×C4⋊C4—1722no—
970C2×C4⋊C4C22×D4311yescharacteristic
971C2×C4⋊C4C22×D4311yescharacteristic
972C2×C4⋊C4C22×D4311yescharacteristic
973C2×C4⋊C4C22×D4311yescharacteristic
974C2×C4⋊C4C22×D4311yescharacteristic
975C2×C4⋊C4C22×D4311yescharacteristic
976C2×C4⋊C4C22×D4311yescharacteristic
977C2×C4⋊C4C22×D4311yescharacteristic
978C2×C22⋊C4—431no—
979C2×C22⋊C4—431no—
980C2×C22⋊C4—431no—
981C2×C22⋊C4—431no—
982C2×C22⋊C4—431no—
983C2×C22⋊C4—431no—
984C2×C22⋊C4—431no—
985C2×C22⋊C4—431no—
986C2×C22⋊C4—431no—
987C2×C22⋊C4—431no—
988C2×C22⋊C4—431no—
989C2×C22⋊C4—431no—
990C2×C22⋊C4—431no—
991C2×C22⋊C4—431no—
992C2×C22⋊C4—431no—
993C2×C22⋊C4—431no—
994C2×C22⋊C4—431no—
995C2×C22⋊C4—431no—
996C2×C22⋊C4—431no—
997C2×C22⋊C4—431no—
998C2×C22⋊C4—431no—
999C2×C22⋊C4—431no—
1000C2×C22⋊C4—431no—
1001C2×C22⋊C4—431no—
1002C2×C22⋊C4—431no—
1003C2×C22⋊C4—431no—
1004C2×C22⋊C4—431no—
1005C2×C22⋊C4—431no—
1006C2×C22⋊C4—431no—
1007C2×C22⋊C4—431no—
1008C2×C22⋊C4C22×D4311yescharacteristic
1009C2×C22⋊C4C22×D4311yescharacteristic
1010C2×C22⋊C4C22×D4311yescharacteristic
1011C2×C22⋊C4C22×D4311yescharacteristic
1012C2×C22⋊C4C22×D4311yescharacteristic
1013C2×C22⋊C4C22×D4311yescharacteristic
1014C2×C22⋊C4C22×D4311yescharacteristic
1015C2×C22⋊C4C22×D4311yescharacteristic
1016C2×C42—431no—
1017C2×C42—431no—
1018C2×C42—431no—
1019C2×C42—431no—
1020C2×C42—431no—
1021C2×C42—431no—
1022C2×C42—431no—
1023C2×C42—431no—
1024C2×C42—1722no—
1025C2×C42C22×D4311yescharacteristic
1026#95—431no—
1027#95—431no—
1028#95—431no—
1029#95—431no—
1030#95—431no—
1031#95—431no—
1032#95—431no—
1033#95—431no—
1034#95—431no—
1035#95—431no—
1036#95—431no—
1037#95—431no—
1038#95—431no—
1039#95—431no—
1040#95—431no—
1041#95—431no—
1042#95—431no—
1043#95—431no—
1044#95—431no—
1045#95—431no—
1046#95—431no—
1047#95—431no—
1048#95—431no—
1049#95—431no—
1050#95—431no—
1051#95—431no—
1052#95—431no—
1053#95—431no—
1054#95—431no—
1055#95—431no—
1056#95—431no—
1057#95—431no—
1058#95—431no—
1059#95—431no—
1060#95—431no—
1061#95—431no—
1062#95—431no—
1063#95—431no—
1064#95—431no—
1065#95—431no—
1066#95—431no—
1067#95—431no—
1068#95—431no—
1069#95—431no—
1070#95C22×D4311yescharacteristic
1071#95C22×D4311yescharacteristic
1072#95C22×D4311yescharacteristic
1073#95C22×D4311yescharacteristic
1074#95C22×D4311yescharacteristic
1075#95C22×D4311yescharacteristic
1076#95C22×D4311yescharacteristic
1077#95C22×D4311yescharacteristic
1078#95C22×D4311yescharacteristic
1079#95C22×D4311yescharacteristic
1080#95C22×D4311yescharacteristic
1081#95C22×D4311yescharacteristic
1082C24—431no—
1083C24—431no—
1084C24C23×D4311yescharacteristic
1085C24C23×D4311yescharacteristic
1086C2×Q8—22no—
1087C2×Q8—41no—
1088C2×Q8—41no—
1089C2×Q8—1721no—
1090C2×Q8—1721no—
1091C2×Q8—1721no—
1092C2×D4—22no—
1093C2×D4—22no—
1094C2×D4—22no—
1095C2×D4—862no—
1096C2×D4—862no—
1097C2×D4—862no—
1098C2×D4—862no—
1099C2×D4—862no—
1100C2×D4—862no—
1101C2×D4—862no—
1102C2×D4—862no—
1103C2×D4—1721no—
1104C2×D4—1721no—
1105C2×D4—1721no—
1106C2×D4—1721no—
1107C2×D4—1721no—
1108C2×D4—1721no—
1109C2×D4—1721no—
1110C22×C4—22no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—41no—
1115C22×C4—41no—
1116C22×C4—41no—
1117C22×C4—41no—
1118C22×C4—41no—
1119C22×C4—41no—
1120C22×C4—41no—
1121C22×C4—41no—
1122C22×C4—431no—
1123C22×C4—431no—
1124C22×C4—434no—
1125C22×C4—431no—
1126C22×C4—431no—
1127C22×C4—431no—
1128C22×C4—431no—
1129C22×C4—431no—
1130C22×C4—431no—
1131C22×C4—431no—
1132C22×C4—431no—
1133C22×C4—431no—
1134C22×C4—431no—
1135C22×C4—431no—
1136C22×C4—431no—
1137C22×C4—862no—
1138C22×C4—862no—
1139C22×C4—862no—
1140C22×C4—862no—
1141C22×C4—1721no—
1142C22×C4—1721no—
1143C22×C4—1721no—
1144C22×C4—1721no—
1145C22×C4—1721no—
1146C22×C4—1721no—
1147C22×C4—1721no—
1148C22×C4—1721no—
1149C22×C4—1721no—
1150C22×C4—1721no—
1151C22×C4—1721no—
1152C22×C4—1721no—
1153C22×C4—1721no—
1154C22×C4C23×D4311yescharacteristic
1155C22×C4C23×D4311yescharacteristic
1156C22×C4C23×D4311yescharacteristic
1157C22×C4C23×D4311yescharacteristic
1158C22×C4C23×D4311yescharacteristic
1159C22×C4C23×D4311yescharacteristic
1160C22×C4C23×D4311yescharacteristic
1161C22×C4C23×D4311yescharacteristic
1162C22×C4C23×D4311yescharacteristic
1163C22×C4C23×D4311yescharacteristic
1164C22×C4C23×D4311yescharacteristic
1165C22×C4C23×D4311yescharacteristic
1166C22×C4C23×D4311yescharacteristic
1167C4⋊C4—41no—
1168C4⋊C4—41no—
1169C4⋊C4—41no—
1170C4⋊C4—41no—
1171C4⋊C4—41no—
1172C4⋊C4—41no—
1173C4⋊C4—41no—
1174C4⋊C4—41no—
1175C4⋊C4—862no—
1176C4⋊C4—862no—
1177C4⋊C4—862no—
1178C4⋊C4—862no—
1179C4⋊C4—862no—
1180C4⋊C4—862no—
1181C4⋊C4—862no—
1182C4⋊C4—862no—
1183C4⋊C4—862no—
1184C4⋊C4—1721no—
1185C4⋊C4—1721no—
1186C4⋊C4—1721no—
1187C4⋊C4—1721no—
1188C4⋊C4—1721no—
1189C4⋊C4—1721no—
1190C4⋊C4—1721no—
1191C4⋊C4—1721no—
1192C4⋊C4—1721no—
1193C4⋊C4—1721no—
1194C4⋊C4—1721no—
1195C4⋊C4—1721no—
1196C4⋊C4—1721no—
1197C4⋊C4—1721no—
1198C4⋊C4—1721no—
1199C4⋊C4—1721no—
1200C4⋊C4—1721no—
1201C22⋊C4—22no—
1202C22⋊C4—22no—
1203C22⋊C4—22no—
1204C22⋊C4—22no—
1205C22⋊C4—41no—
1206C22⋊C4—41no—
1207C22⋊C4—41no—
1208C22⋊C4—41no—
1209C22⋊C4—862no—
1210C22⋊C4—862no—
1211C22⋊C4—862no—
1212C22⋊C4—862no—
1213C22⋊C4—862no—
1214C22⋊C4—1721no—
1215C22⋊C4—1721no—
1216C22⋊C4—1721no—
1217C22⋊C4—1721no—
1218C22⋊C4—1721no—
1219C22⋊C4—1721no—
1220C22⋊C4—1721no—
1221C22⋊C4—1721no—
1222C22⋊C4—1721no—
1223C22⋊C4—1721no—
1224C22⋊C4—1721no—
1225C22⋊C4—1721no—
1226C22⋊C4—1721no—
1227C22⋊C4—1721no—
1228C22⋊C4—1721no—
1229C22⋊C4—1721no—
1230C22⋊C4—1721no—
1231C22⋊C4—1721no—
1232C22⋊C4—1721no—
1233C22⋊C4—1721no—
1234C22⋊C4—1721no—
1235C22⋊C4—1721no—
1236C22⋊C4—1721no—
1237C22⋊C4—1721no—
1238C22⋊C4—1721no—
1239C42—41no—
1240C42—862no—
1241C42—862no—
1242C42—862no—
1243C42—1721no—
1244C42—1721no—
1245C42—1721no—
1246C42—1721no—
1247C42—1721no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—861no—
1260C23—861no—
1261C23—861no—
1262C23—861no—
1263C23—861no—
1264C23—861no—
1265C23—861no—
1266C23—861no—
1267C23—861no—
1268C23—861no—
1269C23—861no—
1270C23—861no—
1271C23—861no—
1272C23—861no—
1273C23#41×D4312yes—
1274C23#1306337012yes—
1275C23#1306337312yes—
1276C23C24×D4311yescharacteristic
1277Q8—82no—
1278Q8—3442no—
1279D4—44no—
1280D4—3442no—
1281D4—3442no—
1282D4—3442no—
1283D4—1724no—
1284D4—1724no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—44no—
1324C2×C4—44no—
1325C2×C4—82no—
1326C2×C4—82no—
1327C2×C4—432no—
1328C2×C4—432no—
1329C2×C4—861no—
1330C2×C4—861no—
1331C2×C4—861no—
1332C2×C4—861no—
1333C2×C4—861no—
1334C2×C4—861no—
1335C2×C4—861no—
1336C2×C4—861no—
1337C2×C4—861no—
1338C2×C4—861no—
1339C2×C4—861no—
1340C2×C4—861no—
1341C2×C4—861no—
1342C2×C4—861no—
1343C2×C4—861no—
1344C2×C4—861no—
1345C2×C4—861no—
1346C2×C4—861no—
1347C2×C4—861no—
1348C2×C4—861no—
1349C2×C4—861no—
1350C2×C4—861no—
1351C2×C4—861no—
1352C2×C4—861no—
1353C2×C4—861no—
1354C2×C4—861no—
1355C2×C4—861no—
1356C2×C4—861no—
1357C2×C4—861no—
1358C2×C4—861no—
1359C2×C4—861no—
1360C2×C4—861no—
1361C2×C4—861no—
1362C2×C4—861no—
1363C2×C4—861no—
1364C2×C4—861no—
1365C2×C4—861no—
1366C2×C4—861no—
1367C2×C4—861no—
1368C2×C4—861no—
1369C2×C4—3442no—
1370C2×C4—3442no—
1371C2×C4—3442no—
1372C2×C4—1724no—
1373C2×C4—1724no—
1374C2×C4—1724no—
1375C2×C4#1306337112yes—
1376C22—22no—
1377C22—22no—
1378C22—22no—
1379C22—22no—
1380C22—22no—
1381C22—22no—
1382C22—41no—
1383C22—41no—
1384C22—41no—
1385C22—41no—
1386C22—41no—
1387C22—41no—
1388C22—41no—
1389C22—1721no—
1390C22—1721no—
1391C22—1721no—
1392C22—1721no—
1393C22—1721no—
1394C22—1721no—
1395C22—1721no—
1396C22—1721no—
1397C22—1721no—
1398C22—1721no—
1399C22—1721no—
1400C22—1721no—
1401C22—1721no—
1402C22—1721no—
1403C22#1458351914yes—
1404C22C2×#41×D4311yescharacteristic
1405C22C2×#1306337011yescharacteristic
1406C22C2×#1306337111yescharacteristic
1407C22C2×#1306337311yescharacteristic
1408C22#1458373411yescharacteristic
1409C22#1458373411yescharacteristic
1410C22#1458373511yescharacteristic
1411C4—22no—
1412C4—41no—
1413C4—41no—
1414C4—41no—
1415C4—41no—
1416C4—41no—
1417C4—41no—
1418C4—41no—
1419C4—41no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—862no—
1425C4—862no—
1426C4—1721no—
1427C4—1721no—
1428C4—1721no—
1429C4—1721no—
1430C4—1721no—
1431C4—1721no—
1432C4—1721no—
1433C4—1721no—
1434C4—1721no—
1435C4—1721no—
1436C4—1721no—
1437C4—1721no—
1438C2—24no—
1439C2—81no—
1440C2—3441no—
1441C2—3441no—
1442C2C2×#1458351911yescharacteristic
1443C2#1914831011yescharacteristic
1444C2#1914843011yescharacteristic
1445C2#1914878111yescharacteristic
1446C2#1914888911yescharacteristic
1447C2#1914904711yescharacteristic
1448C2#1914913511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2450C2
prime radical#19138034C2
hypercenter#2450D43
hypocenterC43#36781
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2450

Complements

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

NH ≅ G/Ntype
1. #19142908C2semidirect
2. #19142898C2semidirect
3. #19142421C2semidirect
4. #19142402C2semidirect
5. #19142224C2semidirect
6. #19142065C2semidirect
7. #19142030C2semidirect
8. #19141981C2semidirect
9. #19141941C2semidirect
10. #19141938C2semidirect
11. #19141788C2semidirect
12. #19141757C2semidirect
13. #19141685C2semidirect
14. #19141646C2semidirect
15. #19141604C2semidirect
16. #19141423C2semidirect
17. #19141074C2semidirect
18. #19141006C2semidirect
19. #19140551C2semidirect
20. #19140525C2semidirect
21. #19140072C2semidirect
22. #19139945C2semidirect
23. #19138421C2semidirect
24. #19138345C2semidirect
25. #19138339C2semidirect
26. #19138294C2semidirect
28. #19137293C2semidirect
29. #19137223C2semidirect
30. C2×#14582784C2semidirect
31. C43×#2450C2semidirect
737. #2450D43semidirect
911. C43#36781semidirect

Maximal subgroups

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

subgroupindex
#191429082
#191428982
#191424212
#191424022
#191422242
#191420652
#191420302
#191419812
#191419412
#191419382
#191417882
#191417572
#191416852
#191416462
#191416042
#191414232
#191410742
#191410062
#191405512
#191405252
#191400722
#191399452
#191384212
#191383452
#191383392
#191382942
#191380342
#191372932
#191372232
C2×#145827842
C43×#24502
#3678143