Finite Group Databasebeta

← #25304649

Subgroups — #25304649

Order 11008.

1650 conjugacy classes of subgroups.

The subgroup lattice has 1442 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19142945C211yesmaximal, characteristic, complemented
2#19142924C211yesmaximal, characteristic, complemented
3#19142530C211yesmaximal, characteristic, complemented
4#19142515C211yesmaximal, characteristic, complemented
5#19142397C211yesmaximal, characteristic, complemented
6#19142275C211yesmaximal, characteristic, complemented
7#19142236C211yesmaximal, characteristic, complemented
8#19141787C211yesmaximal, characteristic, complemented
9#19141715C211yesmaximal, characteristic, complemented
10#19141585C211yesmaximal, characteristic, complemented
11#19141567C211yesmaximal, characteristic, complemented
12#19141520C211yesmaximal, characteristic, complemented
13#19141447C211yesmaximal, characteristic, complemented
14#19141427C211yesmaximal, characteristic, complemented
15#19141231C211yesmaximal, characteristic
16#19141144C211yesmaximal, characteristic, complemented
17#19141069C211yesmaximal, characteristic, complemented
18#19140883C211yesmaximal, characteristic, complemented
19#19140432C211yesmaximal, characteristic, complemented
20#19140043C211yesmaximal, characteristic, complemented
21#19140030C211yesmaximal, characteristic, complemented
22#19139738C211yesmaximal, characteristic, complemented
23#19139691C211yesmaximal, characteristic, complemented
24#19139424C211yesmaximal, characteristic, complemented
25#19139409C211yesmaximal, characteristic, complemented
26#19138825C211yesmaximal, characteristic, complemented
27#19138690C211yesmaximal, characteristic, complemented
28#19137389C211yesmaximal, characteristic, complemented
29#19137381C211yesmaximal, characteristic, complemented
30#19137040C211yesmaximal, characteristic, complemented
31C43×#2630C211yesmaximal, characteristic, complemented
32C2×#13063324C2211yescharacteristic
33C2×#13063318C2211yescharacteristic
34C2×#13063318C2211yescharacteristic
35C2×#13063311C2211yescharacteristic
36C2×#13063308C2211yescharacteristic
37C2×#13063307C2211yescharacteristic
38C2×#13063306C2211yescharacteristic
39C2×#13063305C2211yescharacteristic
40C2×#13063302C2211yescharacteristic
41C2×#13063302C2211yescharacteristic
42C2×#13063297C2211yescharacteristic
43C2×#13063284C2211yescharacteristic
44C22×C4×Dic43C2211yescharacteristic
45#14582841C2211yescharacteristic
46#14582841C2211yescharacteristic
47#14582840C2211yescharacteristic
48#14582839C2211yescharacteristic
49#14582839C2211yescharacteristic
50#14582839C2211yescharacteristic
51#14582837C2211yescharacteristic
52#14582835C2211yescharacteristic
53#14582835C2211yescharacteristic
54#14582835C2211yescharacteristic
55#14582833C2211yescharacteristic
56#14582832C2211yescharacteristic
57#14582832C2211yescharacteristic
58#14582831C2211yescharacteristic
59#14582830C2211yescharacteristic
60#14582830C2211yescharacteristic
61#14582828C2211yescharacteristic
62#14582828C2211yescharacteristic
63#14582828C2211yescharacteristic
64#14582827C2211yescharacteristic
65#14582827C2211yescharacteristic
66#14582827C2211yescharacteristic
67#14582827C2211yescharacteristic
68#14582824C2211yescharacteristic
69#14582822C2211yescharacteristic
70#14582821C2211yescharacteristic
71#14582821C2211yescharacteristic
72#14582821C2211yescharacteristic
73#14582820C2211yescharacteristic
74#14582815C2211yescharacteristic
75#14582815C2211yescharacteristic
76#14582815C2211yescharacteristic
77#14582814C2211yescharacteristic
78#14582813C2211yescharacteristic
79#14582813C2211yescharacteristic
80#14582811C2211yescharacteristic
81#14582811C2211yescharacteristic
82#14582811C2211yescharacteristic
83#14582807C2211yescharacteristic
84#14582807C2211yescharacteristic
85#14582804C2211yescharacteristic
86#14582803C2211yescharacteristic
87#14582803C2211yescharacteristic
88#14582803C2211yescharacteristic
89#14582802C2211yescharacteristic
90#14582802C2211yescharacteristic
91#14582799C2211yescharacteristic
92#14582799C2211yescharacteristic
93#14582799C2211yescharacteristic
94#14582798C2211yescharacteristic
95#14582798C2211yescharacteristic
96#14582798C2211yescharacteristic
97#14582796C2211yescharacteristic
98#14582796C2211yescharacteristic
99#14582795C2211yescharacteristic
100#14582794C2211yescharacteristic
101#14582794C2211yescharacteristic
102#14582794C2211yescharacteristic
103#14582793C2211yescharacteristic
104#14582793C2211yescharacteristic
105#14582793C2211yescharacteristic
106#14582793C2211yescharacteristic
107#14582793C2211yescharacteristic
108#14582793C2211yescharacteristic
109#14582793C2211yescharacteristic
110#14582792C2211yescharacteristic
111#14582792C2211yescharacteristic
112#14582792C2211yescharacteristic
113#14582792C2211yescharacteristic
114#14582792C2211yescharacteristic
115#14582792C2211yescharacteristic
116#14582791C2211yescharacteristic
117#14582790C2211yescharacteristic
118#14582789C2211yescharacteristic
119#14582789C2211yescharacteristic
120#14582789C2211yescharacteristic
121#14582788C2211yescharacteristic
122#14582788C2211yescharacteristic
123#14582787C2211yescharacteristic
124#14582786C2211yescharacteristic
125#14582786C2211yescharacteristic
126#14582785C2211yescharacteristic
127#14582785C2211yescharacteristic
128#14582785C2211yescharacteristic
129#14582785C2211yescharacteristic
130#14582784C2211yescharacteristic
131#14582783C2211yescharacteristic
132#14582782C2211yescharacteristic
133#14582782C2211yescharacteristic
134#14582781C2211yescharacteristic
135#14582781C2211yescharacteristic
136#14582781C2211yescharacteristic
137#14582780C2211yescharacteristic
138#14582780C2211yescharacteristic
139#14582780C2211yescharacteristic
140#14582780C2211yescharacteristic
141#14582779C2211yescharacteristic
142#14582779C2211yescharacteristic
143#14582779C2211yescharacteristic
144#14582779C2211yescharacteristic
145#14582778C2211yescharacteristic
146#14582776C2211yescharacteristic
147#14582776C2211yescharacteristic
148#14582775C2211yescharacteristic
149#14582775C2211yescharacteristic
150#14582774C2211yescharacteristic
151#14582774C2211yescharacteristic
152#14582774C2211yescharacteristic
153#14582773C2211yescharacteristic
154#14582772C2211yescharacteristic
155#14582771C2211yescharacteristic
156#14582770C2211yescharacteristic
157#14582768C2211yescharacteristic
158#14582763C2211yescharacteristic
159#14582759C2211yescharacteristic
160#14582757C2211yescharacteristic
161#14582757C2211yescharacteristic
162#14582757C2211yescharacteristic
163#14582757C2211yescharacteristic
164C4⋊C4×Dic43C2211yescharacteristic
165C4×C4⋊Dic43C2211yescharacteristic
166#14582750C2211yescharacteristic
167C22⋊C4×Dic43C2211yescharacteristic
168C4×C22⋊Dic43C2211yescharacteristic
169C4×C22⋊Dic43C2211yescharacteristic
170#14582746C2211yescharacteristic
171#14582745C2211yescharacteristic
172C2×#123×C43C2211yescharacteristic
173C2×C4×D4×C43C2211yescharacteristic
174C43×#398C2211yescharacteristic
175C43×#397C2211yescharacteristic
176C43×#396C2211yescharacteristic
177C43×#396C2211yescharacteristic
178C43×#394C2211yescharacteristic
179C43×#394C2211yescharacteristic
180C43×#394C2211yescharacteristic
181C43×#392C2211yescharacteristic
182C43×#388C2211yescharacteristic
183C43×#387C2211yescharacteristic
184C43×#386C2211yescharacteristic
185C43×#385C2211yescharacteristic
186C43×#380C2211yescharacteristic
187C22×Dic86C2311yescharacteristic
188C22×Dic86C2311yescharacteristic
189C22×C22⋊D43C2311yescharacteristic
190C22×C22⋊D43C2311yescharacteristic
191C22×C22⋊D43C2311yescharacteristic
192C23×Dic43C2311yescharacteristic
193C23×Dic43C2311yescharacteristic
194C23×Dic43C2311yescharacteristic
195C22×C4×D43C2311yescharacteristic
196#13063324—42no—
197#13063318—42no—
198#13063318—42no—
199#13063311—42no—
200#13063308—24no—
201#13063307—42no—
202#13063306—42no—
203#13063305—42no—
204#13063302—42no—
205#13063302—42no—
206#13063297—42no—
207#13063284—42no—
208C2×C4⋊Dic43C2311yescharacteristic
209C2×C4⋊Dic43C2311yescharacteristic
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×C4⋊Dic43C2311yescharacteristic
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×Dic43⋊C4C2311yescharacteristic
238C2×C22⋊Dic43C2311yescharacteristic
239C2×C22⋊Dic43C2311yescharacteristic
240C2×C22⋊Dic43C2311yescharacteristic
241C2×C22⋊Dic43C2311yescharacteristic
242C2×C22⋊Dic43C2311yescharacteristic
243C2×C22⋊Dic43C2311yescharacteristic
244C2×C22⋊Dic43C2311yescharacteristic
245C2×C22⋊Dic43C2311yescharacteristic
246C2×C22⋊Dic43C2311yescharacteristic
247C2×C22⋊Dic43C2311yescharacteristic
248C2×C22⋊Dic43C2311yescharacteristic
249C2×C22⋊Dic43C2311yescharacteristic
250C2×C22⋊Dic43C2311yescharacteristic
251C2×C22⋊Dic43C2311yescharacteristic
252C2×C22⋊Dic43C2311yescharacteristic
253C2×C22⋊Dic43C2311yescharacteristic
254C2×C22⋊Dic43C2311yescharacteristic
255C2×C22⋊Dic43C2311yescharacteristic
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
276C2×C4×Dic43C2311yescharacteristic
277C2×C4×Dic43C2311yescharacteristic
278C2×C4×Dic43C2311yescharacteristic
279C2×C4×Dic43C2311yescharacteristic
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×D4×C43C2311yescharacteristic
321C22×D4×C43C2311yescharacteristic
322C22×D4×C43C2311yescharacteristic
323C23×C4×C43C2311yescharacteristic
324C23×C4×C43C2311yescharacteristic
325#123×C43—24no—
326C4×D4×C43—24no—
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×C22⋊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×C22⋊C4×C43C2311yescharacteristic
345C2×C22⋊C4×C43C2311yescharacteristic
346C2×C22⋊C4×C43C2311yescharacteristic
347C2×C22⋊C4×C43C2311yescharacteristic
348C2×C42×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
359C24×C43C2411yescharacteristic
360C23×D43C2411yescharacteristic
361C2×D4×C43—22no—
362C2×D4×C43—22no—
363C2×D4×C43—41no—
364C2×D4×C43—41no—
365C2×D4×C43—41no—
366C2×D4×C43—41no—
367C2×D4×C43—41no—
368C2×D4×C43—41no—
369C2×D4×C43—41no—
370C22×C4×C43—22no—
371C22×C4×C43—41no—
372C22×C4×C43—41no—
373C22×C4×C43—41no—
374C22×C4×C43—41no—
375C22×C4×C43#4114yes—
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
387C22×C4×C43C2411yescharacteristic
388C2×C22⋊D43—22no—
389C2×C22⋊D43—22no—
390C2×C22⋊D43—41no—
391C2×C22⋊D43—41no—
392C2×C22⋊D43—41no—
393C2×C22⋊D43—41no—
394C2×C22⋊D43—41no—
395C2×C22⋊D43—41no—
396C2×C22⋊D43—41no—
397C22×Dic43—22no—
398C22×Dic43—22no—
399C22×Dic43—22no—
400C22×Dic43—41no—
401C22×Dic43—41no—
402C22×Dic43—41no—
403C22×Dic43—41no—
404C22×Dic43—41no—
405C22×Dic43—41no—
406C22×Dic43C2411yescharacteristic
407C22×Dic43C2411yescharacteristic
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
421C2×C4×D43—41no—
422C2×C4×D43—41no—
423C2×C4×D43—41no—
424C2×Dic86—22no—
425C2×Dic86—22no—
426C2×Dic86—41no—
427C2×Dic86—41no—
428C2×Dic86—41no—
429C2×Dic86—41no—
430C4⋊C4×C43—22no—
431C4⋊C4×C43—22no—
432C4⋊C4×C43—22no—
433C4⋊C4×C43—41no—
434C4⋊C4×C43—41no—
435C4⋊C4×C43—41no—
436C4⋊C4×C43—41no—
437C4⋊C4×C43—41no—
438C22⋊C4×C43—22no—
439C22⋊C4×C43—22no—
440C22⋊C4×C43—22no—
441C22⋊C4×C43—22no—
442C22⋊C4×C43—22no—
443C22⋊C4×C43—41no—
444C22⋊C4×C43—41no—
445C22⋊C4×C43—41no—
446C22⋊C4×C43—41no—
447C22⋊C4×C43—41no—
448C22⋊C4×C43—41no—
449C22⋊C4×C43—41no—
450C22⋊C4×C43—41no—
451C42×C43—22no—
452C22⋊Dic43—22no—
453C22⋊Dic43—22no—
454C22⋊Dic43—22no—
455C22⋊Dic43—22no—
456C22⋊Dic43—22no—
457C22⋊Dic43—22no—
458C22⋊Dic43—41no—
459C22⋊Dic43—41no—
460C22⋊Dic43—41no—
461C22⋊Dic43—41no—
462C22⋊Dic43—41no—
463C22⋊Dic43—41no—
464C22⋊Dic43—41no—
465C22⋊Dic43—41no—
466C22⋊Dic43—41no—
467C22⋊Dic43—41no—
468C22⋊Dic43—41no—
469C22⋊Dic43—41no—
470(C2×D43)⋊C4—22no—
471(C2×D43)⋊C4—22no—
472(C2×D43)⋊C4—22no—
473(C2×D43)⋊C4—22no—
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—
481C4⋊Dic43—22no—
482C4⋊Dic43—22no—
483C4⋊Dic43—22no—
484C4⋊Dic43—41no—
485C4⋊Dic43—41no—
486C4⋊Dic43—41no—
487C4⋊Dic43—41no—
488C4⋊Dic43—41no—
489C4⋊Dic43—41no—
490C4⋊Dic43—41no—
491C4⋊Dic43—41no—
492Dic43⋊C4—22no—
493Dic43⋊C4—22no—
494Dic43⋊C4—22no—
495Dic43⋊C4—22no—
496Dic43⋊C4—22no—
497Dic43⋊C4—22no—
498Dic43⋊C4—22no—
499Dic43⋊C4—41no—
500Dic43⋊C4—41no—
501Dic43⋊C4—41no—
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—
511C4×Dic43—22no—
512C4×Dic43—22no—
513C4×Dic43—41no—
514C4×Dic43—41no—
515C4×Dic43—41no—
516C4×Dic43—41no—
517C4×Dic43—41no—
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×C43—21no—
535C23×C43—21no—
536C23×C43—21no—
537C23×C43—21no—
538C23×C43—21no—
539C23×C43—21no—
540C23×C43—21no—
541C23×C43—21no—
542C23×C43—21no—
543C23×C43C2×#4112yes—
544C23×C43C2511yescharacteristic
545C22×D43—21no—
546C22×D43—21no—
547C22×D43—21no—
548C22×D43—21no—
549C22×D43—21no—
550C22×D43—21no—
551C22×D43—21no—
552D4×C43—44no—
553D4×C43—82no—
554D4×C43—82no—
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—44no—
590C2×C4×C43—44no—
591C2×C4×C43C2×#4112yes—
592C2×C4×C43C2×#4112yes—
593C22⋊D43—82no—
594C22⋊D43—82no—
595C22⋊D43—82no—
596C2×Dic43—21no—
597C2×Dic43—21no—
598C2×Dic43—21no—
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—21no—
638C2×Dic43—44no—
639C2×Dic43—44no—
640C2×Dic43—82no—
641C2×Dic43H(5,𝔽2)12yes—
642C2×Dic43H(5,𝔽2)12yes—
643C2×Dic432−1+412yes—
644C4×D43—82no—
645Dic86—82no—
646Dic86—82no—
647#36767—431nomaximal, Sylow
648C22×C43—22no—
649C22×C43—22no—
650C22×C43—22no—
651C22×C43—41no—
652C22×C43—41no—
653C22×C43—41no—
654C22×C43—41no—
655C22×C43—41no—
656C22×C43—41no—
657C22×C43—41no—
658C22×C43—41no—
659C22×C43—41no—
660C22×C43—41no—
661C22×C43—41no—
662C22×C43—41no—
663C22×C43—41no—
664C22×C43—41no—
665C22×C43—41no—
666C22×C43—41no—
667C22×C43—41no—
668C22×C43—41no—
669C22×C43C22×#4111yescharacteristic
670C22×C43C2×H(5,𝔽2)11yescharacteristic
671C22×C43C2×H(5,𝔽2)11yescharacteristic
672C22×C43C2×2−1+411yescharacteristic
673C22×C43#58511yescharacteristic
674C22×C43#58511yescharacteristic
675C22×C43#58511yescharacteristic
676C2×D43—41no—
677C2×D43—41no—
678C2×D43—41no—
679C2×D43—41no—
680C2×D43—41no—
681C2×D43—41no—
682C2×D43—41no—
683C4×C43—22no—
684C4×C43—22no—
685C4×C43—41no—
686C4×C43—41no—
687C4×C43—41no—
688C4×C43—41no—
689C4×C43—41no—
690C4×C43—41no—
691C4×C43—41no—
692C4×C43—41no—
693C4×C43—41no—
694C4×C43—41no—
695Dic43—22no—
696Dic43—22no—
697Dic43—22no—
698Dic43—41no—
699Dic43—41no—
700Dic43—41no—
701Dic43—41no—
702Dic43—41no—
703Dic43—41no—
704Dic43—41no—
705Dic43—41no—
706Dic43—41no—
707Dic43—41no—
708Dic43—41no—
709Dic43—41no—
710#2857—431no—
711#2854—431no—
712#2803—431no—
713#2802—431no—
714#2793—431no—
715#2783—431no—
716#2780—431no—
717#2747—431no—
718#2741—431no—
719#2730—431no—
720#2728—431no—
721#2723—431no—
722#2718—431no—
723#2716—431no—
724#2703—431no—
725#2696—431no—
726#2691—431no—
727#2674—431no—
728#2630—431no—
729#2630D4311yescharacteristic, complemented
730#2589—431no—
731#2588—431no—
732#2560—431no—
733#2557—431no—
734#2530—431no—
735#2529—431no—
736#2479—431no—
737#2470—431no—
738#2335—431no—
739#2335—431no—
740#2290—431no—
741C2×C43—42no—
742C2×C43—81no—
743C2×C43—81no—
744C2×C43#345511yescharacteristic
745C2×C43#350511yescharacteristic
746C2×C43#351111yescharacteristic
747C2×C43#353511yescharacteristic
748C2×C43#354211yescharacteristic
749C2×C43#355711yescharacteristic
750C2×C43#356211yescharacteristic
751D43—81no—
752C2×C4⋊Q8—431no—
753C2×#126—431no—
754C2×#126—431no—
755C2×#124—431no—
756C2×#123—431no—
757C2×#123—431no—
758C2×#123—431no—
759C2×#123C2×D4311yescharacteristic
760C2×C22⋊Q8—431no—
761C2×C22⋊Q8—431no—
762C2×C22⋊Q8—431no—
763C2×#121—431no—
764C2×C4×D4C2×D4311yescharacteristic
765C2×#117—431no—
766C22×C42—431no—
767#400—431no—
768#400—431no—
769#400—431no—
770#400—431no—
771#400—431no—
772#400—431no—
773#400—431no—
774#399—431no—
775#399—431no—
776#399—431no—
777#398—431no—
778#398—431no—
779#398—431no—
780#398—431no—
781#398—431no—
782#398—431no—
783#398C2×D4311yescharacteristic
784#397—431no—
785#397—431no—
786#397—431no—
787#397—431no—
788#397—431no—
789#397—431no—
790#397—431no—
791#397—431no—
792#397C2×D4311yescharacteristic
793#396—431no—
794#396—431no—
795#396—431no—
796#396—431no—
797#396C2×D4311yescharacteristic
798#396C2×D4311yescharacteristic
799#395—431no—
800#394—431no—
801#394—431no—
802#394—431no—
803#394—431no—
804#394—431no—
805#394—431no—
806#394C2×D4311yescharacteristic
807#394C2×D4311yescharacteristic
808#394C2×D4311yescharacteristic
809#393—431no—
810#393—431no—
811#393—431no—
812#392—431no—
813#392—431no—
814#392C2×D4311yescharacteristic
815#391—431no—
816#391—431no—
817#391—431no—
818#391—431no—
819#390—431no—
820#390—431no—
821#390—431no—
822#390—431no—
823#390—431no—
824#389—431no—
825#389—431no—
826#389—431no—
827#389—431no—
828#389—431no—
829#389—431no—
830#389—431no—
831#389—431no—
832#389—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#388—431no—
845#388—431no—
846#388—431no—
847#388—431no—
848#388—431no—
849#388—431no—
850#388—431no—
851#388—431no—
852#388—431no—
853#388—431no—
854#388C2×D4311yescharacteristic
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#387—431no—
869#387—431no—
870#387—431no—
871#387—431no—
872#387C2×D4311yescharacteristic
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#386C2×D4311yescharacteristic
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#384—431no—
892#382—431no—
893#380—431no—
894#380—431no—
895#380—431no—
896#380—431no—
897#380—431no—
898#380C2×D4311yescharacteristic
899C4×C4⋊C4—431no—
900C4×C4⋊C4—431no—
901C4×C4⋊C4—431no—
902C4×C22⋊C4—431no—
903C4×C22⋊C4—431no—
904C4×C22⋊C4—431no—
905C4×C22⋊C4—431no—
906#376—431no—
907C43#3676711yescharacteristic, complemented, Sylow
908C22×Q8—431no—
909C22×Q8—431no—
910C22×D4—431no—
911C22×D4—431no—
912C22×D4—431no—
913C22×D4C22×D4311yescharacteristic
914C22×D4C22×D4311yescharacteristic
915C22×D4C22×D4311yescharacteristic
916C23×C4—431no—
917C23×C4—431no—
918C23×C4—431no—
919C23×C4—431no—
920C23×C4C22×D4311yescharacteristic
921C23×C4C22×D4311yescharacteristic
922C4⋊Q8—1722no—
923#126—1722no—
924#126—1722no—
925#124—1722no—
926#123—24no—
927#123—864no—
928#123—1722no—
929#123—1722no—
930C22⋊Q8—1722no—
931C22⋊Q8—1722no—
932C22⋊Q8—1722no—
933#121—1722no—
934C4×D4—24no—
935#117—1722no—
936C2×C4⋊C4—431no—
937C2×C4⋊C4—431no—
938C2×C4⋊C4—431no—
939C2×C4⋊C4—431no—
940C2×C4⋊C4—431no—
941C2×C4⋊C4—431no—
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⋊C4C22×D4311yescharacteristic
967C2×C4⋊C4C22×D4311yescharacteristic
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×C22⋊C4—431no—
975C2×C22⋊C4—431no—
976C2×C22⋊C4—431no—
977C2×C22⋊C4—431no—
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⋊C4C22×D4311yescharacteristic
1004C2×C22⋊C4C22×D4311yescharacteristic
1005C2×C22⋊C4C22×D4311yescharacteristic
1006C2×C22⋊C4C22×D4311yescharacteristic
1007C2×C22⋊C4C22×D4311yescharacteristic
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—431no—
1025C2×C42—431no—
1026C2×C42—431no—
1027C2×C42—431no—
1028C2×C42—1722no—
1029C2×C42C22×D4311yescharacteristic
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
1078C24—431no—
1079C24C23×D4311yescharacteristic
1080C24C23×D4311yescharacteristic
1081C24C23×D4311yescharacteristic
1082C2×Q8—862no—
1083C2×Q8—862no—
1084C2×Q8—1721no—
1085C2×Q8—1721no—
1086C2×Q8—1721no—
1087C2×Q8—1721no—
1088C2×D4—22no—
1089C2×D4—22no—
1090C2×D4—41no—
1091C2×D4—41no—
1092C2×D4—41no—
1093C2×D4—41no—
1094C2×D4—41no—
1095C2×D4—41no—
1096C2×D4—41no—
1097C2×D4—862no—
1098C2×D4—862no—
1099C2×D4—1721no—
1100C2×D4—1721no—
1101C2×D4—1721no—
1102C2×D4—1721no—
1103C2×D4—1721no—
1104C2×D4—1721no—
1105C2×D4—1721no—
1106C22×C4—22no—
1107C22×C4—41no—
1108C22×C4—41no—
1109C22×C4—41no—
1110C22×C4—41no—
1111C22×C4—431no—
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—431no—
1125C22×C4—431no—
1126C22×C4—862no—
1127C22×C4—862no—
1128C22×C4—862no—
1129C22×C4—1721no—
1130C22×C4—1721no—
1131C22×C4—1721no—
1132C22×C4—1721no—
1133C22×C4—1721no—
1134C22×C4—1721no—
1135C22×C4—1721no—
1136C22×C4—1721no—
1137C22×C4—1721no—
1138C22×C4#1062190014yes—
1139C22×C4C23×D4311yescharacteristic
1140C22×C4C23×D4311yescharacteristic
1141C22×C4C23×D4311yescharacteristic
1142C22×C4C23×D4311yescharacteristic
1143C22×C4C23×D4311yescharacteristic
1144C22×C4C23×D4311yescharacteristic
1145C22×C4C23×D4311yescharacteristic
1146C22×C4C23×D4311yescharacteristic
1147C22×C4C23×D4311yescharacteristic
1148C22×C4C23×D4311yescharacteristic
1149C22×C4C23×D4311yescharacteristic
1150C22×C4C23×D4311yescharacteristic
1151C4⋊C4—22no—
1152C4⋊C4—22no—
1153C4⋊C4—22no—
1154C4⋊C4—41no—
1155C4⋊C4—41no—
1156C4⋊C4—41no—
1157C4⋊C4—41no—
1158C4⋊C4—41no—
1159C4⋊C4—862no—
1160C4⋊C4—862no—
1161C4⋊C4—862no—
1162C4⋊C4—862no—
1163C4⋊C4—862no—
1164C4⋊C4—862no—
1165C4⋊C4—862no—
1166C4⋊C4—862no—
1167C4⋊C4—862no—
1168C4⋊C4—862no—
1169C4⋊C4—1721no—
1170C4⋊C4—1721no—
1171C4⋊C4—1721no—
1172C4⋊C4—1721no—
1173C4⋊C4—1721no—
1174C4⋊C4—1721no—
1175C4⋊C4—1721no—
1176C4⋊C4—1721no—
1177C4⋊C4—1721no—
1178C4⋊C4—1721no—
1179C4⋊C4—1721no—
1180C4⋊C4—1721no—
1181C4⋊C4—1721no—
1182C4⋊C4—1721no—
1183C4⋊C4—1721no—
1184C4⋊C4—1721no—
1185C4⋊C4—1721no—
1186C4⋊C4—1721no—
1187C4⋊C4—1721no—
1188C4⋊C4—1721no—
1189C22⋊C4—22no—
1190C22⋊C4—22no—
1191C22⋊C4—22no—
1192C22⋊C4—22no—
1193C22⋊C4—22no—
1194C22⋊C4—41no—
1195C22⋊C4—41no—
1196C22⋊C4—41no—
1197C22⋊C4—41no—
1198C22⋊C4—41no—
1199C22⋊C4—41no—
1200C22⋊C4—41no—
1201C22⋊C4—41no—
1202C22⋊C4—862no—
1203C22⋊C4—862no—
1204C22⋊C4—862no—
1205C22⋊C4—862no—
1206C22⋊C4—862no—
1207C22⋊C4—862no—
1208C22⋊C4—862no—
1209C22⋊C4—862no—
1210C22⋊C4—862no—
1211C22⋊C4—862no—
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—
1231C42—22no—
1232C42—862no—
1233C42—862no—
1234C42—1721no—
1235C42—1721no—
1236C42—1721no—
1237C42—1721no—
1238C42—1721no—
1239C42—1721no—
1240C42—1721no—
1241C42—1721no—
1242C42—1721no—
1243C42—1721no—
1244C23—21no—
1245C23—21no—
1246C23—21no—
1247C23—21no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—861no—
1265C23—861no—
1266C23—861no—
1267C23—861no—
1268C23—861no—
1269C23—861no—
1270C23—861no—
1271C23C2×#1062190012yes—
1272C23C24×D4311yescharacteristic
1273Q8—3442no—
1274Q8—3442no—
1275D4—44no—
1276D4—82no—
1277D4—82no—
1278D4—3442no—
1279D4—3442no—
1280D4—3442no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
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—44no—
1316C2×C4—44no—
1317C2×C4—432no—
1318C2×C4—432no—
1319C2×C4—432no—
1320C2×C4—861no—
1321C2×C4—861no—
1322C2×C4—861no—
1323C2×C4—861no—
1324C2×C4—861no—
1325C2×C4—861no—
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—3442no—
1363C2×C4—3442no—
1364C2×C4—1724no—
1365C2×C4—1724no—
1366C2×C4C2×#1062190012yes—
1367C2×C4C2×#1062190012yes—
1368C22—22no—
1369C22—22no—
1370C22—22no—
1371C22—41no—
1372C22—41no—
1373C22—41no—
1374C22—41no—
1375C22—41no—
1376C22—41no—
1377C22—41no—
1378C22—41no—
1379C22—41no—
1380C22—41no—
1381C22—41no—
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—
1396C22C22×#1062190011yescharacteristic
1397C22H(5,𝔽2)×D4311yescharacteristic
1398C22H(5,𝔽2)×D4311yescharacteristic
1399C222−1+4×D4311yescharacteristic
1400C22#1458373411yescharacteristic
1401C22#1458373511yescharacteristic
1402C22#1458373511yescharacteristic
1403C4—22no—
1404C4—22no—
1405C4—41no—
1406C4—41no—
1407C4—41no—
1408C4—41no—
1409C4—41no—
1410C4—41no—
1411C4—41no—
1412C4—41no—
1413C4—41no—
1414C4—41no—
1415C4—862no—
1416C4—862no—
1417C4—862no—
1418C4—1721no—
1419C4—1721no—
1420C4—1721no—
1421C4—1721no—
1422C4—1721no—
1423C4—1721no—
1424C4—1721no—
1425C4—1721no—
1426C4—1721no—
1427C4—1721no—
1428C4—1721no—
1429C4—1721no—
1430C2—42no—
1431C2—81no—
1432C2—81no—
1433C2—3441no—
1434C2#1914798311yescharacteristic
1435C2#1914843211yescharacteristic
1436C2#1914850411yescharacteristic
1437C2#1914880311yescharacteristic
1438C2#1914890211yescharacteristic
1439C2#1914909311yescharacteristic
1440C2#1914918211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2630C2
prime radical#19141231C2
hypercenter#2630D43
hypocenterC43#36767
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2630

Complements

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

NH ≅ G/Ntype
1. #19142945C2semidirect
2. #19142924C2semidirect
3. #19142530C2semidirect
4. #19142515C2semidirect
5. #19142397C2semidirect
6. #19142275C2semidirect
7. #19142236C2semidirect
8. #19141787C2semidirect
9. #19141715C2semidirect
10. #19141585C2semidirect
11. #19141567C2semidirect
12. #19141520C2semidirect
13. #19141447C2semidirect
14. #19141427C2semidirect
16. #19141144C2semidirect
17. #19141069C2semidirect
18. #19140883C2semidirect
19. #19140432C2semidirect
20. #19140043C2semidirect
21. #19140030C2semidirect
22. #19139738C2semidirect
23. #19139691C2semidirect
24. #19139424C2semidirect
25. #19139409C2semidirect
26. #19138825C2semidirect
27. #19138690C2semidirect
28. #19137389C2semidirect
29. #19137381C2semidirect
30. #19137040C2semidirect
31. C43×#2630C2semidirect
729. #2630D43semidirect
907. C43#36767semidirect

Maximal subgroups

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

subgroupindex
#191429452
#191429242
#191425302
#191425152
#191423972
#191422752
#191422362
#191417872
#191417152
#191415852
#191415672
#191415202
#191414472
#191414272
#191412312
#191411442
#191410692
#191408832
#191404322
#191400432
#191400302
#191397382
#191396912
#191394242
#191394092
#191388252
#191386902
#191373892
#191373812
#191370402
C43×#26302
#3676743