Finite Group Databasebeta

← #25311113

Subgroups — #25311113

Order 11008.

1746 conjugacy classes of subgroups.

The subgroup lattice has 1452 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19142927C211yesmaximal, characteristic, complemented
2#19142920C211yesmaximal, characteristic, complemented
3#19142577C211yesmaximal, characteristic, complemented
4#19142548C211yesmaximal, characteristic, complemented
5#19142522C211yesmaximal, characteristic, complemented
6#19142494C211yesmaximal, characteristic, complemented
7#19142447C211yesmaximal, characteristic, complemented
8#19142347C211yesmaximal, characteristic, complemented
9#19142332C211yesmaximal, characteristic, complemented
10#19142332C211yesmaximal, characteristic, complemented
11#19142317C211yesmaximal, characteristic, complemented
12#19142298C211yesmaximal, characteristic, complemented
13#19142264C211yesmaximal, characteristic, complemented
14#19142150C211yesmaximal, characteristic, complemented
15#19142104C211yesmaximal, characteristic, complemented
16#19141956C211yesmaximal, characteristic, complemented
17#19141832C211yesmaximal, characteristic, complemented
18#19141767C211yesmaximal, characteristic, complemented
19#19140551C211yesmaximal, characteristic, complemented
20#19140529C211yesmaximal, characteristic, complemented
21#19139151C211yesmaximal, characteristic, complemented
22#19138927C211yesmaximal, characteristic, complemented
23#19138349C211yesmaximal, characteristic, complemented
24#19138205C211yesmaximal, characteristic
25#19138144C211yesmaximal, characteristic, complemented
26#19137996C211yesmaximal, characteristic, complemented
27#19137932C211yesmaximal, characteristic, complemented
28#19137261C211yesmaximal, characteristic, complemented
29#19137183C211yesmaximal, characteristic, complemented
30C2×#14582786C211yesmaximal, characteristic, complemented
31C43×#2438C211yesmaximal, characteristic, complemented
32C22×#10621898C2211yescharacteristic
33C2×#13063309C2211yescharacteristic
34C2×#13063309C2211yescharacteristic
35C2×#13063309C2211yescharacteristic
36C2×#13063308C2211yescharacteristic
37C2×#13063299C2211yescharacteristic
38C2×#13063299C2211yescharacteristic
39C2×(C22⋊D43)⋊C4C2211yescharacteristic
40C22×C4⋊Dic43C2211yescharacteristic
41C22×Dic43⋊C4C2211yescharacteristic
42C22×C4×Dic43C2211yescharacteristic
43C43⋊#401C2211yescharacteristic
44C43⋊#401C2211yescharacteristic
45#14582841C2211yescharacteristic
46#14582841C2211yescharacteristic
47#14582838C2211yescharacteristic
48#14582838C2211yescharacteristic
49#14582838C2211yescharacteristic
50#14582838C2211yescharacteristic
51#14582838C2211yescharacteristic
52#14582838C2211yescharacteristic
53#14582837C2211yescharacteristic
54#14582831C2211yescharacteristic
55#14582829C2211yescharacteristic
56#14582829C2211yescharacteristic
57#14582828C2211yescharacteristic
58#14582828C2211yescharacteristic
59#14582826C2211yescharacteristic
60#14582826C2211yescharacteristic
61#14582826C2211yescharacteristic
62#14582825C2211yescharacteristic
63#14582825C2211yescharacteristic
64#14582825C2211yescharacteristic
65#14582825C2211yescharacteristic
66#14582825C2211yescharacteristic
67#14582825C2211yescharacteristic
68#14582821C2211yescharacteristic
69#14582821C2211yescharacteristic
70#14582821C2211yescharacteristic
71#14582821C2211yescharacteristic
72#14582820C2211yescharacteristic
73#14582820C2211yescharacteristic
74#14582820C2211yescharacteristic
75#14582817C2211yescharacteristic
76#14582817C2211yescharacteristic
77#14582817C2211yescharacteristic
78#14582816C2211yescharacteristic
79#14582816C2211yescharacteristic
80#14582816C2211yescharacteristic
81#14582816C2211yescharacteristic
82#14582812C2211yescharacteristic
83#14582810C2211yescharacteristic
84#14582810C2211yescharacteristic
85#14582810C2211yescharacteristic
86#14582809C2211yescharacteristic
87#14582806C2211yescharacteristic
88#14582805C2211yescharacteristic
89#14582805C2211yescharacteristic
90#14582801C2211yescharacteristic
91#14582801C2211yescharacteristic
92#14582800C2211yescharacteristic
93#14582800C2211yescharacteristic
94#14582798C2211yescharacteristic
95#14582798C2211yescharacteristic
96#14582798C2211yescharacteristic
97#14582797C2211yescharacteristic
98#14582797C2211yescharacteristic
99#14582796C2211yescharacteristic
100#14582796C2211yescharacteristic
101#14582791C2211yescharacteristic
102#14582791C2211yescharacteristic
103#14582791C2211yescharacteristic
104#14582791C2211yescharacteristic
105#14582791C2211yescharacteristic
106#14582791C2211yescharacteristic
107#14582791C2211yescharacteristic
108#14582791C2211yescharacteristic
109#14582790C2211yescharacteristic
110#14582790C2211yescharacteristic
111#14582789C2211yescharacteristic
112#14582789C2211yescharacteristic
113#14582789C2211yescharacteristic
114#14582789C2211yescharacteristic
115#14582789C2211yescharacteristic
116#14582789C2211yescharacteristic
117#14582788C2211yescharacteristic
118#14582788C2211yescharacteristic
119#14582786C2211yescharacteristic
120#14582786C2211yescharacteristic
121#14582786C2211yescharacteristic
122#14582786C2211yescharacteristic
123#14582786C2211yescharacteristic
124#14582786C2211yescharacteristic
125#14582786C2211yescharacteristic
126#14582786C2211yescharacteristic
127#14582786C2211yescharacteristic
128#14582786C2211yescharacteristic
129#14582786C2211yescharacteristic
130#14582786C2211yescharacteristic
131#14582785C2211yescharacteristic
132#14582785C2211yescharacteristic
133#14582785C2211yescharacteristic
134#14582785C2211yescharacteristic
135#14582778C2211yescharacteristic
136#14582778C2211yescharacteristic
137#14582777C2211yescharacteristic
138#14582777C2211yescharacteristic
139#14582777C2211yescharacteristic
140#14582777C2211yescharacteristic
141#14582776C2211yescharacteristic
142#14582776C2211yescharacteristic
143#14582776C2211yescharacteristic
144#14582776C2211yescharacteristic
145#14582776C2211yescharacteristic
146#14582776C2211yescharacteristic
147#14582776C2211yescharacteristic
148#14582776C2211yescharacteristic
149#14582774C2211yescharacteristic
150#14582773C2211yescharacteristic
151#14582773C2211yescharacteristic
152#14582773C2211yescharacteristic
153#14582773C2211yescharacteristic
154#14582773C2211yescharacteristic
155#14582773C2211yescharacteristic
156#14582773C2211yescharacteristic
157#14582773C2211yescharacteristic
158#14582771C2211yescharacteristic
159#14582766C2211yescharacteristic
160#14582764C2211yescharacteristic
161#14582761C2211yescharacteristic
162#14582760C2211yescharacteristic
163#14582756C2211yescharacteristic
164#14582756C2211yescharacteristic
165#14582756C2211yescharacteristic
166#14582756C2211yescharacteristic
167#14582756C2211yescharacteristic
168C22⋊C4×Dic43C2211yescharacteristic
169C2×C43⋊#95C2211yescharacteristic
170C2×C43⋊#95C2211yescharacteristic
171C2×C43⋊#95C2211yescharacteristic
172C2×C22⋊Q8×C43C2211yescharacteristic
173C2×#117×C43C2211yescharacteristic
174C43×#400C2211yescharacteristic
175C43×#398C2211yescharacteristic
176C43×#398C2211yescharacteristic
177C43×#395C2211yescharacteristic
178C43×#391C2211yescharacteristic
179C43×#389C2211yescharacteristic
180C43×#387C2211yescharacteristic
181C43×#387C2211yescharacteristic
182C43×#385C2211yescharacteristic
183C43×#385C2211yescharacteristic
184C43×#381C2211yescharacteristic
185C43×#380C2211yescharacteristic
186C2×#95×C43C2211yescharacteristic
187C2×#10621898—24no—
188C2×#10621898—42no—
189C2×#10621898—42no—
190C22×Dic86C2311yescharacteristic
191C22×D172C2311yescharacteristic
192C22×D172C2311yescharacteristic
193C22×D172C2311yescharacteristic
194C22×C22⋊D43C2311yescharacteristic
195C22×C22⋊D43C2311yescharacteristic
196C22×C22⋊D43C2311yescharacteristic
197C23×Dic43C2311yescharacteristic
198C23×Dic43C2311yescharacteristic
199C23×Dic43C2311yescharacteristic
200C23×Dic43C2311yescharacteristic
201C22×C4×D43C2311yescharacteristic
202C22×C4×D43C2311yescharacteristic
203C22×C4×D43C2311yescharacteristic
204#13063309—42no—
205#13063309—42no—
206#13063309—42no—
207#13063308—24no—
208#13063299—42no—
209#13063299—42no—
210(C22⋊D43)⋊C4—42no—
211C2×C4⋊Dic43—42no—
212C2×C4⋊Dic43C2311yescharacteristic
213C2×C4⋊Dic43C2311yescharacteristic
214C2×C4⋊Dic43C2311yescharacteristic
215C2×C4⋊Dic43C2311yescharacteristic
216C2×C4⋊Dic43C2311yescharacteristic
217C2×C4⋊Dic43C2311yescharacteristic
218C2×C4⋊Dic43C2311yescharacteristic
219C2×C4⋊Dic43C2311yescharacteristic
220C2×C4⋊Dic43C2311yescharacteristic
221C2×C4⋊Dic43C2311yescharacteristic
222C2×C4⋊Dic43C2311yescharacteristic
223C2×C4⋊Dic43C2311yescharacteristic
224C2×C4⋊Dic43C2311yescharacteristic
225C2×C4⋊Dic43C2311yescharacteristic
226C2×Dic43⋊C4—24no—
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×C22⋊Dic43C2311yescharacteristic
237C2×(C2×D43)⋊C4C2311yescharacteristic
238C2×(C2×D43)⋊C4C2311yescharacteristic
239C2×(C2×D43)⋊C4C2311yescharacteristic
240C2×(C2×D43)⋊C4C2311yescharacteristic
241C2×(C2×D43)⋊C4C2311yescharacteristic
242C2×(C2×D43)⋊C4C2311yescharacteristic
243C2×(C2×D43)⋊C4C2311yescharacteristic
244C2×(C2×D43)⋊C4C2311yescharacteristic
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×(C2×D43)⋊C4C2311yescharacteristic
268C2×(C2×D43)⋊C4C2311yescharacteristic
269C2×(C2×D43)⋊C4C2311yescharacteristic
270C2×C4×Dic43—42no—
271C2×C4×Dic43C2311yescharacteristic
272C2×C4×Dic43C2311yescharacteristic
273C2×C4×Dic43C2311yescharacteristic
274C2×C4×Dic43C2311yescharacteristic
275C2×C4×Dic43C2311yescharacteristic
276C2×C4×Dic43C2311yescharacteristic
277C2×C4×Dic43C2311yescharacteristic
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
321C23×C4×C43C2311yescharacteristic
322C23×C4×C43C2311yescharacteristic
323C23×C4×C43C2311yescharacteristic
324C22⋊Q8×C43—42no—
325#117×C43—42no—
326C2×C4⋊C4×C43C2311yescharacteristic
327C2×C4⋊C4×C43C2311yescharacteristic
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×C4⋊C4×C43C2311yescharacteristic
337C2×C22⋊C4×C43C2311yescharacteristic
338C2×C22⋊C4×C43C2311yescharacteristic
339C2×C22⋊C4×C43C2311yescharacteristic
340C2×C22⋊C4×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
357C24×C43C2411yescharacteristic
358C23×D43C2411yescharacteristic
359C23×D43C2411yescharacteristic
360C23×D43C2411yescharacteristic
361C2×Q8×C43—41no—
362C2×Q8×C43—41no—
363C2×Q8×C43—41no—
364C22×C4×C43—22no—
365C22×C4×C43—22no—
366C22×C4×C43—22no—
367C22×C4×C43—22no—
368C22×C4×C43—22no—
369C22×C4×C43—41no—
370C22×C4×C43—41no—
371C22×C4×C43—41no—
372C22×C4×C43#4114yes—
373C22×C4×C43C2411yescharacteristic
374C22×C4×C43C2411yescharacteristic
375C22×C4×C43C2411yescharacteristic
376C22×C4×C43C2411yescharacteristic
377C22×C4×C43C2411yescharacteristic
378C22×C4×C43C2411yescharacteristic
379C22×C4×C43C2411yescharacteristic
380C22×C4×C43C2411yescharacteristic
381C22×C4×C43C2411yescharacteristic
382C22×C4×C43C2411yescharacteristic
383C22×C4×C43C2411yescharacteristic
384C22×C4×C43C2411yescharacteristic
385C22×C4×C43C2411yescharacteristic
386C22×C4×C43C2411yescharacteristic
387C2×C22⋊D43—22no—
388C2×C22⋊D43—22no—
389C2×C22⋊D43—22no—
390C2×C22⋊D43—22no—
391C2×C22⋊D43—22no—
392C2×C22⋊D43—22no—
393C2×C22⋊D43—22no—
394C2×C22⋊D43—22no—
395C2×C22⋊D43—22no—
396C22×Dic43—22no—
397C22×Dic43—22no—
398C22×Dic43—22no—
399C22×Dic43—22no—
400C22×Dic43—22no—
401C22×Dic43—22no—
402C22×Dic43—41no—
403C22×Dic43—41no—
404C22×Dic43—41no—
405C22×Dic43—41no—
406C22×Dic43—41no—
407C22×Dic43—41no—
408C22×Dic43C2411yescharacteristic
409C22×Dic43C2411yescharacteristic
410C22×Dic43C2411yescharacteristic
411C22×Dic43C2411yescharacteristic
412C22×Dic43C2411yescharacteristic
413C22×Dic43C2411yescharacteristic
414C22×Dic43C2411yescharacteristic
415C22×Dic43C2411yescharacteristic
416C22×Dic43C2411yescharacteristic
417C22×Dic43C2411yescharacteristic
418C22×Dic43C2411yescharacteristic
419C22×Dic43C2411yescharacteristic
420C22×Dic43C2411yescharacteristic
421#10621898—416no—
422C2×D172—22no—
423C2×D172—22no—
424C2×D172—41no—
425C2×D172—41no—
426C2×D172—41no—
427C2×D172—41no—
428C2×D172—41no—
429C2×D172—41no—
430C2×D172—41no—
431C2×C4×D43—22no—
432C2×C4×D43—22no—
433C2×C4×D43—41no—
434C2×C4×D43—41no—
435C2×C4×D43—41no—
436C2×C4×D43—41no—
437C2×C4×D43—41no—
438C2×C4×D43—41no—
439C2×C4×D43—41no—
440C2×Dic86—22no—
441C2×Dic86—41no—
442C2×Dic86—41no—
443C4⋊C4×C43—22no—
444C4⋊C4×C43—22no—
445C4⋊C4×C43—41no—
446C4⋊C4×C43—41no—
447C4⋊C4×C43—41no—
448C4⋊C4×C43—41no—
449C4⋊C4×C43—41no—
450C4⋊C4×C43—41no—
451C4⋊C4×C43—41no—
452C4⋊C4×C43—41no—
453C4⋊C4×C43—41no—
454C22⋊C4×C43—22no—
455C22⋊C4×C43—22no—
456C22⋊C4×C43—22no—
457C22⋊C4×C43—22no—
458C42×C43—41no—
459C42×C43—41no—
460C22⋊Dic43—22no—
461(C2×D43)⋊C4—22no—
462(C2×D43)⋊C4—22no—
463(C2×D43)⋊C4—22no—
464(C2×D43)⋊C4—41no—
465(C2×D43)⋊C4—41no—
466(C2×D43)⋊C4—41no—
467(C2×D43)⋊C4—41no—
468(C2×D43)⋊C4—41no—
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—
489(C2×D43)⋊C4—41no—
490(C2×D43)⋊C4—41no—
491(C2×D43)⋊C4—41no—
492(C2×D43)⋊C4—41no—
493(C2×D43)⋊C4—41no—
494C4⋊Dic43—41no—
495C4⋊Dic43—41no—
496C4⋊Dic43—41no—
497C4⋊Dic43—41no—
498C4⋊Dic43—41no—
499C4⋊Dic43—41no—
500C4⋊Dic43—41no—
501C4⋊Dic43—41no—
502C4⋊Dic43—41no—
503C4⋊Dic43—41no—
504C4⋊Dic43—41no—
505C4⋊Dic43—41no—
506C4⋊Dic43—41no—
507C4⋊Dic43—41no—
508Dic43⋊C4—22no—
509Dic43⋊C4—22no—
510Dic43⋊C4—22no—
511Dic43⋊C4—22no—
512Dic43⋊C4—22no—
513Dic43⋊C4—22no—
514Dic43⋊C4—41no—
515Dic43⋊C4—41no—
516Dic43⋊C4—41no—
517C4×Dic43—41no—
518C4×Dic43—41no—
519C4×Dic43—41no—
520C4×Dic43—41no—
521C4×Dic43—41no—
522C4×Dic43—41no—
523C4×Dic43—41no—
524C23×C43—21no—
525C23×C43—21no—
526C23×C43—21no—
527C23×C43—21no—
528C23×C43C2×#4112yes—
529C23×C43H(5,𝔽2)12yes—
530C23×C43H(5,𝔽2)12yes—
531C23×C43C2511yescharacteristic
532C22×D43—21no—
533C22×D43—21no—
534C22×D43—21no—
535C22×D43—21no—
536C22×D43—21no—
537C22×D43—21no—
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—
552C22×D43—21no—
553Q8×C43—82no—
554C2×C4×C43—28no—
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—21no—
593C2×C4×C43—21no—
594C2×C4×C43—44no—
595C2×C4×C43—82no—
596C2×C4×C43C2×#4112yes—
597C2×C4×C43C2×#4112yes—
598C2×C4×C432−1+412yes—
599C22⋊D43—44no—
600C22⋊D43—44no—
601C22⋊D43—44no—
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—
645D172—44no—
646D172—82no—
647D172—82no—
648C4×D43—44no—
649C4×D43—44no—
650C4×D43—82no—
651Dic86—44no—
652#36997—431nomaximal, Sylow
653C22×C43—22no—
654C22×C43—22no—
655C22×C43—22no—
656C22×C43—22no—
657C22×C43—22no—
658C22×C43—22no—
659C22×C43#53814yes—
660C22×C43C22×#4111yescharacteristic
661C22×C43C2×H(5,𝔽2)11yescharacteristic
662C22×C43C2×H(5,𝔽2)11yescharacteristic
663C22×C43C2×2−1+411yescharacteristic
664C22×C43#58511yescharacteristic
665C22×C43#58511yescharacteristic
666C22×C43#58511yescharacteristic
667C2×D43—41no—
668C2×D43—41no—
669C2×D43—41no—
670C2×D43—41no—
671C2×D43—41no—
672C2×D43—41no—
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—
687C2×D43—41no—
688C4×C43—22no—
689C4×C43—22no—
690C4×C43—22no—
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—
700C4×C43—41no—
701C4×C43—41no—
702Dic43—41no—
703Dic43—41no—
704Dic43—41no—
705Dic43—41no—
706Dic43—41no—
707Dic43—41no—
708Dic43—41no—
709Dic43—41no—
710Dic43—41no—
711Dic43—41no—
712Dic43—41no—
713Dic43—41no—
714Dic43—41no—
715#2854—431no—
716#2853—431no—
717#2808—431no—
718#2805—431no—
719#2803—431no—
720#2800—431no—
721#2797—431no—
722#2788—431no—
723#2787—431no—
724#2787—431no—
725#2786—431no—
726#2784—431no—
727#2781—431no—
728#2774—431no—
729#2770—431no—
730#2759—431no—
731#2750—431no—
732#2745—431no—
733#2643—431no—
734#2639—431no—
735#2510—431no—
736#2488—431no—
737#2444—431no—
738#2438D4311yescharacteristic, complemented
739#2430—431no—
740#2425—431no—
741#2413—431no—
742#2406—431no—
743#2322—431no—
744#2311—431no—
745C2×#387—431no—
746C2×C43—24no—
747C2×C43C2×#53811yescharacteristic
748C2×C43#349311yescharacteristic
749C2×C43#350711yescharacteristic
750C2×C43#353311yescharacteristic
751C2×C43#353511yescharacteristic
752C2×C43#355911yescharacteristic
753C2×C43#356011yescharacteristic
754D43—81no—
755D43—81no—
756D43—81no—
757C22×#41—431no—
758C2×#123—431no—
759C2×#123—431no—
760C2×#123—431no—
761C2×#123—431no—
762C2×C22⋊Q8C2×D4311yescharacteristic
763C2×#121—431no—
764C2×#121—431no—
765C2×C4×D4—431no—
766C2×#117C2×D4311yescharacteristic
767C22×C4⋊C4—431no—
768C22×C4⋊C4—431no—
769C22×C42—431no—
770#401—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#400C2×D4311yescharacteristic
782#398—431no—
783#398—431no—
784#398—431no—
785#398C2×D4311yescharacteristic
786#398C2×D4311yescharacteristic
787#397—431no—
788#397—431no—
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#395—431no—
803#395—431no—
804#395—431no—
805#395C2×D4311yescharacteristic
806#394—431no—
807#394—431no—
808#394—431no—
809#394—431no—
810#394—431no—
811#394—431no—
812#394—431no—
813#393—431no—
814#393—431no—
815#393—431no—
816#393—431no—
817#392—431no—
818#391—431no—
819#391—431no—
820#391—431no—
821#391C2×D4311yescharacteristic
822#390—431no—
823#390—431no—
824#390—431no—
825#390—431no—
826#389—431no—
827#389—431no—
828#389—431no—
829#389—431no—
830#389—431no—
831#389—431no—
832#389—431no—
833#389C2×D4311yescharacteristic
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#388—431no—
845#388—431no—
846#388—431no—
847#388—431no—
848#388—431no—
849#388—431no—
850#388—431no—
851#388—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#387—431no—
865#387—431no—
866#387—431no—
867#387—431no—
868#387C2×D4311yescharacteristic
869#387C2×D4311yescharacteristic
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#386—431no—
880#386—431no—
881#386—431no—
882#386—431no—
883#386—431no—
884#385—431no—
885#385—431no—
886#385—431no—
887#385—431no—
888#385—431no—
889#385—431no—
890#385—431no—
891#385—431no—
892#385—431no—
893#385—431no—
894#385C2×D4311yescharacteristic
895#385C2×D4311yescharacteristic
896#383—431no—
897#382—431no—
898#381—431no—
899#381—431no—
900#381C2×D4311yescharacteristic
901#380—431no—
902#380—431no—
903#380—431no—
904#380—431no—
905#380—431no—
906#380C2×D4311yescharacteristic
907C4×C22⋊C4—431no—
908C2×#95—431no—
909C2×#95—431no—
910C2×#95—431no—
911C2×#95C2×D4311yescharacteristic
912C43#3699711yescharacteristic, complemented, Sylow
913C2×#41—864no—
914C2×#41—1722no—
915C2×#41—1722no—
916C22×Q8—431no—
917C22×Q8C22×D4311yescharacteristic
918C22×D4—431no—
919C22×D4—431no—
920C22×D4—431no—
921C22×D4—431no—
922C22×D4—431no—
923C22×D4—431no—
924C23×C4—431no—
925C23×C4—431no—
926C23×C4—431no—
927C23×C4—431no—
928C23×C4—431no—
929C23×C4—431no—
930C23×C4—431no—
931C23×C4C22×D4311yescharacteristic
932C23×C4C22×D4311yescharacteristic
933C23×C4C22×D4311yescharacteristic
934#123—864no—
935#123—1722no—
936#123—1722no—
937#123—1722no—
938C22⋊Q8—42no—
939#121—1722no—
940#121—1722no—
941C4×D4—1722no—
942#117—42no—
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—864no—
967C2×C4⋊C4—1722no—
968C2×C4⋊C4C22×D4311yescharacteristic
969C2×C4⋊C4C22×D4311yescharacteristic
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×C4⋊C4C22×D4311yescharacteristic
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⋊C4—431no—
1009C2×C22⋊C4—431no—
1010C2×C22⋊C4—431no—
1011C2×C22⋊C4—431no—
1012C2×C22⋊C4—431no—
1013C2×C22⋊C4C22×D4311yescharacteristic
1014C2×C22⋊C4C22×D4311yescharacteristic
1015C2×C22⋊C4C22×D4311yescharacteristic
1016C2×C22⋊C4C22×D4311yescharacteristic
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
1026C2×C42C22×D4311yescharacteristic
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#95C22×D4311yescharacteristic
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
1082#95C22×D4311yescharacteristic
1083C24—431no—
1084C24—431no—
1085C24—431no—
1086C24C23×D4311yescharacteristic
1087#41—17216no—
1088C2×Q8—41no—
1089C2×Q8—41no—
1090C2×Q8—41no—
1091C2×Q8—862no—
1092C2×Q8—1721no—
1093C2×Q8—1721no—
1094C2×D4—862no—
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—862no—
1104C2×D4—862no—
1105C2×D4—1721no—
1106C2×D4—1721no—
1107C2×D4—1721no—
1108C2×D4—1721no—
1109C2×D4—1721no—
1110C2×D4—1721no—
1111C2×D4—1721no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—22no—
1115C22×C4—22no—
1116C22×C4—22no—
1117C22×C4—41no—
1118C22×C4—41no—
1119C22×C4—41no—
1120C22×C4—431no—
1121C22×C4—431no—
1122C22×C4—431no—
1123C22×C4—431no—
1124C22×C4—431no—
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—862no—
1134C22×C4—862no—
1135C22×C4—862no—
1136C22×C4—862no—
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×C4#1062190214yes—
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
1167C22×C4C23×D4311yescharacteristic
1168C22×C4C23×D4311yescharacteristic
1169C4⋊C4—22no—
1170C4⋊C4—22no—
1171C4⋊C4—41no—
1172C4⋊C4—41no—
1173C4⋊C4—41no—
1174C4⋊C4—41no—
1175C4⋊C4—41no—
1176C4⋊C4—41no—
1177C4⋊C4—41no—
1178C4⋊C4—41no—
1179C4⋊C4—41no—
1180C4⋊C4—862no—
1181C4⋊C4—862no—
1182C4⋊C4—862no—
1183C4⋊C4—862no—
1184C4⋊C4—862no—
1185C4⋊C4—862no—
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—
1201C4⋊C4—1721no—
1202C4⋊C4—1721no—
1203C22⋊C4—22no—
1204C22⋊C4—22no—
1205C22⋊C4—22no—
1206C22⋊C4—22no—
1207C22⋊C4—862no—
1208C22⋊C4—862no—
1209C22⋊C4—862no—
1210C22⋊C4—862no—
1211C22⋊C4—1721no—
1212C22⋊C4—1721no—
1213C22⋊C4—1721no—
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—
1239C22⋊C4—1721no—
1240C22⋊C4—1721no—
1241C42—41no—
1242C42—41no—
1243C42—1721no—
1244C42—1721no—
1245C42—1721no—
1246C42—1721no—
1247C42—1721no—
1248C42—1721no—
1249C42—1721no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—861no—
1255C23—861no—
1256C23—861no—
1257C23—861no—
1258C23—861no—
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—861no—
1274C23—861no—
1275C23C2×#1062190212yes—
1276C23#1306337012yes—
1277C23#1306337112yes—
1278C23C24×D4311yescharacteristic
1279Q8—82no—
1280Q8—1724no—
1281D4—3442no—
1282D4—3442no—
1283D4—1724no—
1284D4—1724no—
1285D4—1724no—
1286D4—1724no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—28no—
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—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—44no—
1328C2×C4—82no—
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—3442no—
1369C2×C4—3442no—
1370C2×C4—1724no—
1371C2×C4—1724no—
1372C2×C4—1724no—
1373C2×C4—1724no—
1374C2×C4—1724no—
1375C2×C4C2×#1062190212yes—
1376C2×C4C2×#1062190212yes—
1377C2×C4#1306337212yes—
1378C22—22no—
1379C22—22no—
1380C22—22no—
1381C22—22no—
1382C22—22no—
1383C22—22no—
1384C22—1721no—
1385C22—1721no—
1386C22—1721no—
1387C22—1721no—
1388C22—1721no—
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—1721no—
1404C22—1721no—
1405C22#1458348914yes—
1406C22C22×#1062190211yescharacteristic
1407C22C2×#1306337011yescharacteristic
1408C22C2×#1306337111yescharacteristic
1409C22C2×#1306337211yescharacteristic
1410C22#1458373411yescharacteristic
1411C22#1458373511yescharacteristic
1412C22#1458373611yescharacteristic
1413C4—22no—
1414C4—22no—
1415C4—22no—
1416C4—41no—
1417C4—41no—
1418C4—41no—
1419C4—41no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—1721no—
1428C4—1721no—
1429C4—1721no—
1430C4—1721no—
1431C4—1721no—
1432C4—1721no—
1433C4—1721no—
1434C4—1721no—
1435C4—1721no—
1436C4—1721no—
1437C4—1721no—
1438C4—1721no—
1439C4—1721no—
1440C2—24no—
1441C2—3441no—
1442C2—3441no—
1443C2—3441no—
1444C2C2×#1458348911yescharacteristic
1445C2#1914831611yescharacteristic
1446C2#1914846211yescharacteristic
1447C2#1914876111yescharacteristic
1448C2#1914880011yescharacteristic
1449C2#1914912411yescharacteristic
1450C2#1914913911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2438C2
prime radical#19138205C2
hypercenter#2438D43
hypocenterC43#36997
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2438

Complements

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

NH ≅ G/Ntype
1. #19142927C2semidirect
2. #19142920C2semidirect
3. #19142577C2semidirect
4. #19142548C2semidirect
5. #19142522C2semidirect
6. #19142494C2semidirect
7. #19142447C2semidirect
8. #19142347C2semidirect
9. #19142332C2semidirect
10. #19142332C2semidirect
11. #19142317C2semidirect
12. #19142298C2semidirect
13. #19142264C2semidirect
14. #19142150C2semidirect
15. #19142104C2semidirect
16. #19141956C2semidirect
17. #19141832C2semidirect
18. #19141767C2semidirect
19. #19140551C2semidirect
20. #19140529C2semidirect
21. #19139151C2semidirect
22. #19138927C2semidirect
23. #19138349C2semidirect
25. #19138144C2semidirect
26. #19137996C2semidirect
27. #19137932C2semidirect
28. #19137261C2semidirect
29. #19137183C2semidirect
30. C2×#14582786C2semidirect
31. C43×#2438C2semidirect
738. #2438D43semidirect
912. C43#36997semidirect

Maximal subgroups

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

subgroupindex
#191429272
#191429202
#191425772
#191425482
#191425222
#191424942
#191424472
#191423472
#191423322
#191423172
#191422982
#191422642
#191421502
#191421042
#191419562
#191418322
#191417672
#191405512
#191405292
#191391512
#191389272
#191383492
#191382052
#191381442
#191379962
#191379322
#191372612
#191371832
C2×#145827862
C43×#24382
#3699743