Finite Group Databasebeta

← #25305102

Subgroups — #25305102

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#19142907C211yesmaximal, characteristic, complemented
2#19142899C211yesmaximal, characteristic, complemented
3#19142425C211yesmaximal, characteristic, complemented
4#19142397C211yesmaximal, characteristic, complemented
5#19142229C211yesmaximal, characteristic, complemented
6#19142063C211yesmaximal, characteristic, complemented
7#19142036C211yesmaximal, characteristic, complemented
8#19141989C211yesmaximal, characteristic, complemented
9#19141947C211yesmaximal, characteristic, complemented
10#19141936C211yesmaximal, characteristic, complemented
11#19141800C211yesmaximal, characteristic, complemented
12#19141765C211yesmaximal, characteristic, complemented
13#19141681C211yesmaximal, characteristic, complemented
14#19141656C211yesmaximal, characteristic, complemented
15#19141601C211yesmaximal, characteristic, complemented
16#19141070C211yesmaximal, characteristic, complemented
17#19141006C211yesmaximal, characteristic, complemented
18#19140549C211yesmaximal, characteristic, complemented
19#19140524C211yesmaximal, characteristic, complemented
20#19140073C211yesmaximal, characteristic, complemented
21#19139943C211yesmaximal, characteristic, complemented
22#19138416C211yesmaximal, characteristic, complemented
23#19138412C211yesmaximal, characteristic, complemented
24#19138350C211yesmaximal, characteristic, complemented
25#19138340C211yesmaximal, characteristic, complemented
26#19138293C211yesmaximal, characteristic, complemented
27#19138030C211yesmaximal, characteristic
28#19137299C211yesmaximal, characteristic, complemented
29#19137227C211yesmaximal, characteristic, complemented
30#387×D43C211yesmaximal, characteristic, complemented
31C43×#2716C211yesmaximal, characteristic, complemented
32C2×#13063314C2211yescharacteristic
33C2×#13063301C2211yescharacteristic
34C2×#13063301C2211yescharacteristic
35C2×#13063300C2211yescharacteristic
36C2×#13063298C2211yescharacteristic
37C2×#13063298C2211yescharacteristic
38C2×#13063298C2211yescharacteristic
39C2×C4×D172C2211yescharacteristic
40C2×#13063287C2211yescharacteristic
41C2×(C22⋊D43)⋊C4C2211yescharacteristic
42C2×C4⋊C4×D43C2211yescharacteristic
43C2×C4⋊C4×D43C2211yescharacteristic
44C2×C42×D43C2211yescharacteristic
45C43⋊#401C2211yescharacteristic
46#14582841C2211yescharacteristic
47#14582841C2211yescharacteristic
48#14582840C2211yescharacteristic
49#14582840C2211yescharacteristic
50#14582840C2211yescharacteristic
51#14582840C2211yescharacteristic
52#14582840C2211yescharacteristic
53#14582840C2211yescharacteristic
54#14582839C2211yescharacteristic
55#14582838C2211yescharacteristic
56#14582833C2211yescharacteristic
57#14582832C2211yescharacteristic
58#14582832C2211yescharacteristic
59#14582832C2211yescharacteristic
60#14582831C2211yescharacteristic
61#14582828C2211yescharacteristic
62#14582828C2211yescharacteristic
63#14582828C2211yescharacteristic
64#14582828C2211yescharacteristic
65#14582826C2211yescharacteristic
66#14582826C2211yescharacteristic
67#14582825C2211yescharacteristic
68#14582824C2211yescharacteristic
69#14582822C2211yescharacteristic
70#14582821C2211yescharacteristic
71#14582821C2211yescharacteristic
72#14582821C2211yescharacteristic
73#14582821C2211yescharacteristic
74#14582821C2211yescharacteristic
75#14582818C2211yescharacteristic
76#14582818C2211yescharacteristic
77#14582816C2211yescharacteristic
78#14582816C2211yescharacteristic
79#14582815C2211yescharacteristic
80#14582815C2211yescharacteristic
81#14582814C2211yescharacteristic
82#14582814C2211yescharacteristic
83#14582814C2211yescharacteristic
84#14582814C2211yescharacteristic
85#14582810C2211yescharacteristic
86#14582810C2211yescharacteristic
87#14582806C2211yescharacteristic
88#14582801C2211yescharacteristic
89#14582799C2211yescharacteristic
90#14582798C2211yescharacteristic
91#14582797C2211yescharacteristic
92#14582794C2211yescharacteristic
93#14582793C2211yescharacteristic
94#14582790C2211yescharacteristic
95#14582790C2211yescharacteristic
96#14582790C2211yescharacteristic
97#14582789C2211yescharacteristic
98#14582789C2211yescharacteristic
99#14582789C2211yescharacteristic
100#14582788C2211yescharacteristic
101#14582788C2211yescharacteristic
102#14582788C2211yescharacteristic
103#14582788C2211yescharacteristic
104#14582788C2211yescharacteristic
105#14582787C2211yescharacteristic
106#14582787C2211yescharacteristic
107#14582787C2211yescharacteristic
108#14582786C2211yescharacteristic
109#14582786C2211yescharacteristic
110#14582786C2211yescharacteristic
111#14582785C2211yescharacteristic
112#14582785C2211yescharacteristic
113#14582784C2211yescharacteristic
114#14582784C2211yescharacteristic
115#14582783C2211yescharacteristic
116#14582783C2211yescharacteristic
117#14582783C2211yescharacteristic
118#14582782C2211yescharacteristic
119#14582782C2211yescharacteristic
120#14582781C2211yescharacteristic
121#14582781C2211yescharacteristic
122#14582780C2211yescharacteristic
123#14582780C2211yescharacteristic
124#14582780C2211yescharacteristic
125#14582780C2211yescharacteristic
126#14582777C2211yescharacteristic
127#14582777C2211yescharacteristic
128#14582777C2211yescharacteristic
129#14582777C2211yescharacteristic
130#14582777C2211yescharacteristic
131#14582777C2211yescharacteristic
132#14582777C2211yescharacteristic
133#14582777C2211yescharacteristic
134#14582777C2211yescharacteristic
135#14582776C2211yescharacteristic
136#14582776C2211yescharacteristic
137#14582775C2211yescharacteristic
138#14582775C2211yescharacteristic
139#14582775C2211yescharacteristic
140#14582775C2211yescharacteristic
141#14582775C2211yescharacteristic
142#14582774C2211yescharacteristic
143#14582774C2211yescharacteristic
144#14582773C2211yescharacteristic
145#14582773C2211yescharacteristic
146#14582773C2211yescharacteristic
147#14582773C2211yescharacteristic
148#14582773C2211yescharacteristic
149#14582770C2211yescharacteristic
150#14582770C2211yescharacteristic
151#14582770C2211yescharacteristic
152#14582770C2211yescharacteristic
153#14582770C2211yescharacteristic
154#14582768C2211yescharacteristic
155#14582767C2211yescharacteristic
156#14582766C2211yescharacteristic
157#14582764C2211yescharacteristic
158#14582763C2211yescharacteristic
159#14582761C2211yescharacteristic
160#14582761C2211yescharacteristic
161#14582760C2211yescharacteristic
162#14582758C2211yescharacteristic
163#14582758C2211yescharacteristic
164#14582757C2211yescharacteristic
165#14582756C2211yescharacteristic
166#14582756C2211yescharacteristic
167C4×(C2×D43)⋊C4C2211yescharacteristic
168#95×D43C2211yescharacteristic
169#95×D43C2211yescharacteristic
170#95×D43C2211yescharacteristic
171#95×D43C2211yescharacteristic
172C2×C4⋊Q8×C43C2211yescharacteristic
173C2×#126×C43C2211yescharacteristic
174C43×#400C2211yescharacteristic
175C43×#398C2211yescharacteristic
176C43×#397C2211yescharacteristic
177C43×#396C2211yescharacteristic
178C43×#393C2211yescharacteristic
179C43×#393C2211yescharacteristic
180C43×#391C2211yescharacteristic
181C43×#391C2211yescharacteristic
182C43×#388C2211yescharacteristic
183C43×#388C2211yescharacteristic
184C43×#387C2211yescharacteristic
185C43×#387C2211yescharacteristic
186C43×#387C2211yescharacteristic
187C22×D172C2311yescharacteristic
188C22×D172C2311yescharacteristic
189C22×D172C2311yescharacteristic
190C22×C22⋊D43C2311yescharacteristic
191C22×C22⋊D43C2311yescharacteristic
192C22×C22⋊D43C2311yescharacteristic
193C23×Dic43C2311yescharacteristic
194C22×C4×D43C2311yescharacteristic
195C22×C4×D43C2311yescharacteristic
196C22×C4×D43C2311yescharacteristic
197C22×C4×D43C2311yescharacteristic
198C22×C4×D43C2311yescharacteristic
199C22×C4×D43C2311yescharacteristic
200C22×C4×D43C2311yescharacteristic
201C22×C4×D43C2311yescharacteristic
202C22×C4×D43C2311yescharacteristic
203#13063314—42no—
204#13063301—42no—
205#13063301—42no—
206#13063300—42no—
207#13063298—24no—
208#13063298—42no—
209#13063298—42no—
210C4×D172—42no—
211#13063287—24no—
212(C22⋊D43)⋊C4—42no—
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×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×Dic43⋊C4C2311yescharacteristic
238C4⋊C4×D43—24no—
239C4⋊C4×D43—42no—
240C2×C22⋊Dic43C2311yescharacteristic
241C2×C22⋊Dic43C2311yescharacteristic
242C2×C22⋊Dic43C2311yescharacteristic
243C2×C22⋊Dic43C2311yescharacteristic
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×(C2×D43)⋊C4C2311yescharacteristic
271C2×C4×Dic43C2311yescharacteristic
272C2×C4×Dic43C2311yescharacteristic
273C2×C4×Dic43C2311yescharacteristic
274C2×C4×Dic43C2311yescharacteristic
275C2×C4×Dic43C2311yescharacteristic
276C2×C4×Dic43C2311yescharacteristic
277C42×D43—42no—
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×Q8×C43C2311yescharacteristic
322C4⋊Q8×C43—42no—
323#126×C43—42no—
324C2×C4⋊C4×C43C2311yescharacteristic
325C2×C4⋊C4×C43C2311yescharacteristic
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×C22⋊C4×C43C2311yescharacteristic
334C2×C22⋊C4×C43C2311yescharacteristic
335C2×C22⋊C4×C43C2311yescharacteristic
336C2×C22⋊C4×C43C2311yescharacteristic
337C2×C22⋊C4×C43C2311yescharacteristic
338C2×C22⋊C4×C43C2311yescharacteristic
339C2×C22⋊C4×C43C2311yescharacteristic
340C2×C42×C43C2311yescharacteristic
341C2×C42×C43C2311yescharacteristic
342C2×C42×C43C2311yescharacteristic
343#95×C43C2311yescharacteristic
344#95×C43C2311yescharacteristic
345#95×C43C2311yescharacteristic
346#95×C43C2311yescharacteristic
347#95×C43C2311yescharacteristic
348#95×C43C2311yescharacteristic
349#95×C43C2311yescharacteristic
350#95×C43C2311yescharacteristic
351#95×C43C2311yescharacteristic
352#95×C43C2311yescharacteristic
353#95×C43C2311yescharacteristic
354#95×C43C2311yescharacteristic
355#95×C43C2311yescharacteristic
356#95×C43C2311yescharacteristic
357C24×C43C2411yescharacteristic
358C23×D43C2411yescharacteristic
359C23×D43C2411yescharacteristic
360C23×D43C2411yescharacteristic
361C2×Q8×C43—22no—
362C2×Q8×C43—41no—
363C2×Q8×C43—41no—
364C2×Q8×C43—41no—
365C2×Q8×C43—41no—
366C2×Q8×C43—41no—
367C22×C4×C43C2411yescharacteristic
368C22×C4×C43C2411yescharacteristic
369C22×C4×C43C2411yescharacteristic
370C22×C4×C43C2411yescharacteristic
371C22×C4×C43C2411yescharacteristic
372C22×C4×C43C2411yescharacteristic
373C22×C4×C43C2411yescharacteristic
374C22×C4×C43C2411yescharacteristic
375C22×C4×C43C2411yescharacteristic
376C22×C4×C43C2411yescharacteristic
377C22×C4×C43C2411yescharacteristic
378C22×C4×C43C2411yescharacteristic
379C22×C4×C43C2411yescharacteristic
380C22×C4×C43C2411yescharacteristic
381C2×C22⋊D43—22no—
382C2×C22⋊D43—22no—
383C2×C22⋊D43—22no—
384C2×C22⋊D43—22no—
385C2×C22⋊D43—41no—
386C2×C22⋊D43—41no—
387C2×C22⋊D43—41no—
388C2×C22⋊D43—41no—
389C2×C22⋊D43—41no—
390C22×Dic43—41no—
391C22×Dic43—41no—
392C22×Dic43—41no—
393C22×Dic43C2411yescharacteristic
394C22×Dic43C2411yescharacteristic
395C22×Dic43C2411yescharacteristic
396C22×Dic43C2411yescharacteristic
397C22×Dic43C2411yescharacteristic
398C22×Dic43C2411yescharacteristic
399C22×Dic43C2411yescharacteristic
400C22×Dic43C2411yescharacteristic
401C22×Dic43C2411yescharacteristic
402C22×Dic43C2411yescharacteristic
403C22×Dic43C2411yescharacteristic
404C22×Dic43C2411yescharacteristic
405C22×Dic43C2411yescharacteristic
406C2×D172—22no—
407C2×D172—22no—
408C2×D172—22no—
409C2×D172—22no—
410C2×D172—22no—
411C2×D172—22no—
412C2×D172—22no—
413C2×D172—41no—
414C2×D172—41no—
415C2×C4×D43—22no—
416C2×C4×D43—22no—
417C2×C4×D43—22no—
418C2×C4×D43—22no—
419C2×C4×D43—22no—
420C2×C4×D43—22no—
421C2×C4×D43—22no—
422C2×C4×D43—22no—
423C2×C4×D43—41no—
424C2×C4×D43—41no—
425C2×C4×D43—41no—
426C2×C4×D43—41no—
427C2×C4×D43—41no—
428C2×C4×D43—41no—
429C2×C4×D43—41no—
430C2×C4×D43—41no—
431C2×C4×D43—41no—
432C2×C4×D43—41no—
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×C4×D43—41no—
441C2×C4×D43#4114yes—
442C4⋊C4×C43—22no—
443C4⋊C4×C43—22no—
444C4⋊C4×C43—22no—
445C4⋊C4×C43—22no—
446C4⋊C4×C43—41no—
447C4⋊C4×C43—41no—
448C4⋊C4×C43—41no—
449C4⋊C4×C43—41no—
450C4⋊C4×C43—41no—
451C22⋊C4×C43—22no—
452C22⋊C4×C43—22no—
453C22⋊C4×C43—41no—
454C22⋊C4×C43—41no—
455C22⋊C4×C43—41no—
456C22⋊C4×C43—41no—
457C22⋊C4×C43—41no—
458C42×C43—22no—
459C42×C43—41no—
460C42×C43—41no—
461C22⋊Dic43—41no—
462C22⋊Dic43—41no—
463C22⋊Dic43—41no—
464C22⋊Dic43—41no—
465(C2×D43)⋊C4—22no—
466(C2×D43)⋊C4—22no—
467(C2×D43)⋊C4—22no—
468(C2×D43)⋊C4—22no—
469(C2×D43)⋊C4—22no—
470(C2×D43)⋊C4—22no—
471(C2×D43)⋊C4—22no—
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—
492C4⋊Dic43—22no—
493C4⋊Dic43—41no—
494C4⋊Dic43—41no—
495C4⋊Dic43—41no—
496C4⋊Dic43—41no—
497C4⋊Dic43—41no—
498C4⋊Dic43—41no—
499C4⋊Dic43—41no—
500Dic43⋊C4—22no—
501Dic43⋊C4—22no—
502Dic43⋊C4—22no—
503Dic43⋊C4—22no—
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—
515Dic43⋊C4—41no—
516Dic43⋊C4—41no—
517C4×Dic43—22no—
518C4×Dic43—22no—
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×C43C2511yescharacteristic
531C22×D43—21no—
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×D43C2×#4112yes—
550C22×D43H(5,𝔽2)12yes—
551C22×D432−1+412yes—
552Q8×C43—82no—
553Q8×C43—82no—
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—21no—
593C2×C4×C43—21no—
594C2×C4×C43C2×#4112yes—
595C2×C4×C43H(5,𝔽2)12yes—
596C22⋊D43—44no—
597C22⋊D43—82no—
598C22⋊D43—82no—
599C2×Dic43—21no—
600C2×Dic43—21no—
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—82no—
638C2×Dic43C2×#4112yes—
639D172—44no—
640D172—44no—
641D172—82no—
642C4×D43—44no—
643C4×D43—44no—
644C4×D43—44no—
645C4×D43—44no—
646C4×D43—44no—
647C4×D43—82no—
648C4×D43—82no—
649C4×D43—82no—
650C4×D43—82no—
651#36781—431nomaximal, Sylow
652C22×C43—41no—
653C22×C43—41no—
654C22×C43—41no—
655C22×C43—41no—
656C22×C43—41no—
657C22×C43—41no—
658C22×C43—41no—
659C22×C43C22×#4111yescharacteristic
660C22×C43C2×H(5,𝔽2)11yescharacteristic
661C22×C43C2×H(5,𝔽2)11yescharacteristic
662C22×C43C2×2−1+411yescharacteristic
663C22×C43#58511yescharacteristic
664C22×C43#58511yescharacteristic
665C22×C43#58511yescharacteristic
666C2×D43—22no—
667C2×D43—22no—
668C2×D43—22no—
669C2×D43—22no—
670C2×D43—22no—
671C2×D43—22no—
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#54214yes—
687C4×C43—22no—
688C4×C43—22no—
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—
700C4×C43—41no—
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#2716D4311yescharacteristic, complemented
730#2691—431no—
731#2686—431no—
732#2643—431no—
733#2639—431no—
734#2591—431no—
735#2579—431no—
736#2450—431no—
737#2450—431no—
738#2444—431no—
739#2444—431no—
740#2440—431no—
741#2416—431no—
742#2325—431no—
743#2318—431no—
744C2×#387—431no—
745C2×C43—81no—
746C2×C43C2×#54211yescharacteristic
747C2×C43#349311yescharacteristic
748C2×C43#350511yescharacteristic
749C2×C43#353411yescharacteristic
750C2×C43#354111yescharacteristic
751C2×C43#355311yescharacteristic
752C2×C43#356011yescharacteristic
753D43—24no—
754D43—81no—
755D43—81no—
756C2×C4⋊Q8C2×D4311yescharacteristic
757C2×#126C2×D4311yescharacteristic
758C2×#124—431no—
759C2×C22⋊Q8—431no—
760C2×C22⋊Q8—431no—
761C2×#121—431no—
762C2×#121—431no—
763C2×#121—431no—
764C2×#121—431no—
765C2×C4×D4—431no—
766C2×C4×D4—431no—
767C2×C4×D4—431no—
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#397C2×D4311yescharacteristic
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#393C2×D4311yescharacteristic
818#393C2×D4311yescharacteristic
819#391—431no—
820#391C2×D4311yescharacteristic
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#388C2×D4311yescharacteristic
843#388C2×D4311yescharacteristic
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#387C2×D4311yescharacteristic
863#387C2×D4311yescharacteristic
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#386—431no—
880#386—431no—
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#385—431no—
891#385—431no—
892#385—431no—
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#380—431no—
906C4×C22⋊C4—431no—
907C2×#95—431no—
908C2×#95—431no—
909C2×#95—431no—
910C2×#95—431no—
911C43#3678111yescharacteristic, complemented, Sylow
912C22×Q8C22×D4311yescharacteristic
913C22×Q8C22×D4311yescharacteristic
914C22×D4—431no—
915C22×D4—431no—
916C22×D4—431no—
917C22×D4—431no—
918C22×D4—431no—
919C22×D4—431no—
920C23×C4—431no—
921C23×C4—431no—
922C23×C4—431no—
923C23×C4—431no—
924C23×C4—431no—
925C23×C4—431no—
926C23×C4—431no—
927C23×C4—431no—
928C23×C4—431no—
929C23×C4—431no—
930C4⋊Q8—42no—
931#126—42no—
932#124—1722no—
933C22⋊Q8—1722no—
934C22⋊Q8—1722no—
935#121—864no—
936#121—1722no—
937#121—1722no—
938#121—1722no—
939C4×D4—864no—
940C4×D4—1722no—
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—864no—
968C2×C4⋊C4—1722no—
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×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⋊C4—431no—
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—1722no—
1023C2×C42C22×D4311yescharacteristic
1024C2×C42C22×D4311yescharacteristic
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#95C22×D4311yescharacteristic
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
1082C24—431no—
1083C24—431no—
1084C24—431no—
1085C24C23×D4311yescharacteristic
1086C2×Q8—22no—
1087C2×Q8—41no—
1088C2×Q8—41no—
1089C2×Q8—41no—
1090C2×Q8—41no—
1091C2×Q8—41no—
1092C2×D4—862no—
1093C2×D4—862no—
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—1721no—
1104C2×D4—1721no—
1105C2×D4—1721no—
1106C2×D4—1721no—
1107C2×D4—1721no—
1108C2×D4—1721no—
1109C2×D4—1721no—
1110C22×C4—431no—
1111C22×C4—434no—
1112C22×C4—431no—
1113C22×C4—431no—
1114C22×C4—431no—
1115C22×C4—431no—
1116C22×C4—431no—
1117C22×C4—431no—
1118C22×C4—431no—
1119C22×C4—431no—
1120C22×C4—431no—
1121C22×C4—431no—
1122C22×C4—431no—
1123C22×C4—431no—
1124C22×C4—862no—
1125C22×C4—862no—
1126C22×C4—862no—
1127C22×C4—862no—
1128C22×C4—862no—
1129C22×C4—862no—
1130C22×C4—862no—
1131C22×C4—862no—
1132C22×C4—1721no—
1133C22×C4—1721no—
1134C22×C4—1721no—
1135C22×C4—1721no—
1136C22×C4—1721no—
1137C22×C4—1721no—
1138C22×C4—1721no—
1139C22×C4—1721no—
1140C22×C4—1721no—
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×C4C23×D4311yescharacteristic
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—22no—
1168C4⋊C4—22no—
1169C4⋊C4—22no—
1170C4⋊C4—22no—
1171C4⋊C4—41no—
1172C4⋊C4—41no—
1173C4⋊C4—41no—
1174C4⋊C4—41no—
1175C4⋊C4—41no—
1176C4⋊C4—862no—
1177C4⋊C4—862no—
1178C4⋊C4—862no—
1179C4⋊C4—862no—
1180C4⋊C4—862no—
1181C4⋊C4—1721no—
1182C4⋊C4—1721no—
1183C4⋊C4—1721no—
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—41no—
1204C22⋊C4—41no—
1205C22⋊C4—41no—
1206C22⋊C4—41no—
1207C22⋊C4—41no—
1208C22⋊C4—862no—
1209C22⋊C4—862no—
1210C22⋊C4—862no—
1211C22⋊C4—862no—
1212C22⋊C4—862no—
1213C22⋊C4—862no—
1214C22⋊C4—862no—
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—22no—
1240C42—41no—
1241C42—41no—
1242C42—862no—
1243C42—862no—
1244C42—1721no—
1245C42—1721no—
1246C42—1721no—
1247C42—1721no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—432no—
1256C23—432no—
1257C23—432no—
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—
1275C23—861no—
1276C23C24×D4311yescharacteristic
1277Q8—82no—
1278Q8—82no—
1279D4—3442no—
1280D4—3442no—
1281D4—3442no—
1282D4—1724no—
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—21no—
1324C2×C4—21no—
1325C2×C4—432no—
1326C2×C4—861no—
1327C2×C4—861no—
1328C2×C4—861no—
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—3442no—
1365C2×C4—3442no—
1366C2×C4—3442no—
1367C2×C4—3442no—
1368C2×C4—3442no—
1369C2×C4—1724no—
1370C2×C4—1724no—
1371C2×C4—1724no—
1372C2×C4—1724no—
1373C2×C4—1724no—
1374C2×C4#41×D4312yes—
1375C2×C4#1306337012yes—
1376C22—41no—
1377C22—41no—
1378C22—41no—
1379C22—41no—
1380C22—41no—
1381C22—41no—
1382C22—41no—
1383C22—434no—
1384C22—862no—
1385C22—862no—
1386C22—862no—
1387C22—862no—
1388C22—862no—
1389C22—862no—
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—
1404C22C2×#41×D4311yescharacteristic
1405C22H(5,𝔽2)×D4311yescharacteristic
1406C22C2×#1306337011yescharacteristic
1407C222−1+4×D4311yescharacteristic
1408C22#1458373511yescharacteristic
1409C22#1458373611yescharacteristic
1410C22#1458373611yescharacteristic
1411C4—22no—
1412C4—22no—
1413C4—41no—
1414C4—41no—
1415C4—41no—
1416C4—41no—
1417C4—41no—
1418C4—41no—
1419C4—41no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
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—81no—
1439C2—864no—
1440C2—3441no—
1441C2—3441no—
1442C2#542×D4311yescharacteristic
1443C2#1914830911yescharacteristic
1444C2#1914843111yescharacteristic
1445C2#1914877711yescharacteristic
1446C2#1914889011yescharacteristic
1447C2#1914904911yescharacteristic
1448C2#1914913811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2716C2
prime radical#19138030C2
hypercenter#2716D43
hypocenterC43#36781
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2716

Complements

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

NH ≅ G/Ntype
1. #19142907C2semidirect
2. #19142899C2semidirect
3. #19142425C2semidirect
4. #19142397C2semidirect
5. #19142229C2semidirect
6. #19142063C2semidirect
7. #19142036C2semidirect
8. #19141989C2semidirect
9. #19141947C2semidirect
10. #19141936C2semidirect
11. #19141800C2semidirect
12. #19141765C2semidirect
13. #19141681C2semidirect
14. #19141656C2semidirect
15. #19141601C2semidirect
16. #19141070C2semidirect
17. #19141006C2semidirect
18. #19140549C2semidirect
19. #19140524C2semidirect
20. #19140073C2semidirect
21. #19139943C2semidirect
22. #19138416C2semidirect
23. #19138412C2semidirect
24. #19138350C2semidirect
25. #19138340C2semidirect
26. #19138293C2semidirect
28. #19137299C2semidirect
29. #19137227C2semidirect
30. #387×D43C2semidirect
31. C43×#2716C2semidirect
729. #2716D43semidirect
911. C43#36781semidirect

Maximal subgroups

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

subgroupindex
#191429072
#191428992
#191424252
#191423972
#191422292
#191420632
#191420362
#191419892
#191419472
#191419362
#191418002
#191417652
#191416812
#191416562
#191416012
#191410702
#191410062
#191405492
#191405242
#191400732
#191399432
#191384162
#191384122
#191383502
#191383402
#191382932
#191380302
#191372992
#191372272
#387×D432
C43×#27162
#3678143