Finite Group Databasebeta

← #25311205

Subgroups — #25311205

Order 11008.

1682 conjugacy classes of subgroups.

The subgroup lattice has 1446 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19142928C211yesmaximal, characteristic, complemented
2#19142919C211yesmaximal, characteristic, complemented
3#19142453C211yesmaximal, characteristic, complemented
4#19142400C211yesmaximal, characteristic, complemented
5#19142399C211yesmaximal, characteristic, complemented
6#19142385C211yesmaximal, characteristic, complemented
7#19142306C211yesmaximal, characteristic, complemented
8#19142195C211yesmaximal, characteristic, complemented
9#19142145C211yesmaximal, characteristic, complemented
10#19142078C211yesmaximal, characteristic, complemented
11#19141858C211yesmaximal, characteristic, complemented
12#19141807C211yesmaximal, characteristic, complemented
13#19141727C211yesmaximal, characteristic, complemented
14#19141704C211yesmaximal, characteristic, complemented
15#19141702C211yesmaximal, characteristic, complemented
16#19141692C211yesmaximal, characteristic, complemented
17#19141670C211yesmaximal, characteristic, complemented
18#19140382C211yesmaximal, characteristic, complemented
19#19140338C211yesmaximal, characteristic, complemented
20#19139818C211yesmaximal, characteristic, complemented
21#19139556C211yesmaximal, characteristic
22#19139063C211yesmaximal, characteristic, complemented
23#19138898C211yesmaximal, characteristic, complemented
24#19138153C211yesmaximal, characteristic, complemented
25#19138139C211yesmaximal, characteristic, complemented
26#19138077C211yesmaximal, characteristic, complemented
27#19138073C211yesmaximal, characteristic, complemented
28#19137294C211yesmaximal, characteristic, complemented
29#19137227C211yesmaximal, characteristic, complemented
30#387×D43C211yesmaximal, characteristic, complemented
31C43×#2791C211yesmaximal, characteristic, complemented
32C2×#13063310C2211yescharacteristic
33C2×#13063310C2211yescharacteristic
34C2×#13063310C2211yescharacteristic
35C2×#13063310C2211yescharacteristic
36C2×#13063310C2211yescharacteristic
37C2×#13063310C2211yescharacteristic
38C2×#13063300C2211yescharacteristic
39C2×#13063300C2211yescharacteristic
40C2×#13063300C2211yescharacteristic
41C2×C4×D172C2211yescharacteristic
42C2×#13063287C2211yescharacteristic
43C2×#13063287C2211yescharacteristic
44C2×C4⋊C4×D43C2211yescharacteristic
45C2×C4⋊C4×D43C2211yescharacteristic
46C2×C42×D43C2211yescharacteristic
47#14582840C2211yescharacteristic
48#14582840C2211yescharacteristic
49#14582839C2211yescharacteristic
50#14582838C2211yescharacteristic
51#14582837C2211yescharacteristic
52#14582836C2211yescharacteristic
53#14582834C2211yescharacteristic
54#14582834C2211yescharacteristic
55#14582834C2211yescharacteristic
56#14582834C2211yescharacteristic
57#14582834C2211yescharacteristic
58#14582833C2211yescharacteristic
59#14582833C2211yescharacteristic
60#14582832C2211yescharacteristic
61#14582832C2211yescharacteristic
62#14582830C2211yescharacteristic
63#14582829C2211yescharacteristic
64#14582829C2211yescharacteristic
65#14582829C2211yescharacteristic
66#14582828C2211yescharacteristic
67#14582828C2211yescharacteristic
68#14582828C2211yescharacteristic
69#14582828C2211yescharacteristic
70#14582828C2211yescharacteristic
71#14582826C2211yescharacteristic
72#14582826C2211yescharacteristic
73#14582825C2211yescharacteristic
74#14582825C2211yescharacteristic
75#14582825C2211yescharacteristic
76#14582825C2211yescharacteristic
77#14582823C2211yescharacteristic
78#14582823C2211yescharacteristic
79#14582821C2211yescharacteristic
80#14582821C2211yescharacteristic
81#14582821C2211yescharacteristic
82#14582821C2211yescharacteristic
83#14582817C2211yescharacteristic
84#14582817C2211yescharacteristic
85#14582816C2211yescharacteristic
86#14582816C2211yescharacteristic
87#14582816C2211yescharacteristic
88#14582809C2211yescharacteristic
89#14582801C2211yescharacteristic
90#14582801C2211yescharacteristic
91#14582800C2211yescharacteristic
92#14582800C2211yescharacteristic
93#14582795C2211yescharacteristic
94#14582794C2211yescharacteristic
95#14582794C2211yescharacteristic
96#14582794C2211yescharacteristic
97#14582791C2211yescharacteristic
98#14582790C2211yescharacteristic
99#14582790C2211yescharacteristic
100#14582790C2211yescharacteristic
101#14582790C2211yescharacteristic
102#14582789C2211yescharacteristic
103#14582789C2211yescharacteristic
104#14582789C2211yescharacteristic
105#14582789C2211yescharacteristic
106#14582789C2211yescharacteristic
107#14582789C2211yescharacteristic
108#14582788C2211yescharacteristic
109#14582788C2211yescharacteristic
110#14582788C2211yescharacteristic
111#14582788C2211yescharacteristic
112#14582788C2211yescharacteristic
113#14582786C2211yescharacteristic
114#14582785C2211yescharacteristic
115#14582785C2211yescharacteristic
116#14582785C2211yescharacteristic
117#14582784C2211yescharacteristic
118#14582784C2211yescharacteristic
119#14582783C2211yescharacteristic
120#14582783C2211yescharacteristic
121#14582783C2211yescharacteristic
122#14582782C2211yescharacteristic
123#14582782C2211yescharacteristic
124#14582782C2211yescharacteristic
125#14582782C2211yescharacteristic
126#14582781C2211yescharacteristic
127#14582781C2211yescharacteristic
128#14582780C2211yescharacteristic
129#14582780C2211yescharacteristic
130#14582780C2211yescharacteristic
131#14582777C2211yescharacteristic
132#14582777C2211yescharacteristic
133#14582777C2211yescharacteristic
134#14582777C2211yescharacteristic
135#14582777C2211yescharacteristic
136#14582777C2211yescharacteristic
137#14582777C2211yescharacteristic
138#14582777C2211yescharacteristic
139#14582777C2211yescharacteristic
140#14582777C2211yescharacteristic
141#14582777C2211yescharacteristic
142#14582777C2211yescharacteristic
143#14582773C2211yescharacteristic
144#14582773C2211yescharacteristic
145#14582773C2211yescharacteristic
146#14582770C2211yescharacteristic
147#14582770C2211yescharacteristic
148#14582770C2211yescharacteristic
149#14582770C2211yescharacteristic
150#14582770C2211yescharacteristic
151#14582768C2211yescharacteristic
152#14582766C2211yescharacteristic
153#14582763C2211yescharacteristic
154#14582761C2211yescharacteristic
155#14582761C2211yescharacteristic
156#14582761C2211yescharacteristic
157#14582761C2211yescharacteristic
158#14582761C2211yescharacteristic
159#14582758C2211yescharacteristic
160#14582758C2211yescharacteristic
161#14582758C2211yescharacteristic
162#14582758C2211yescharacteristic
163#14582758C2211yescharacteristic
164#14582756C2211yescharacteristic
165#14582756C2211yescharacteristic
166#14582756C2211yescharacteristic
167C4×(C2×D43)⋊C4C2211yescharacteristic
168#95×D43C2211yescharacteristic
169#95×D43C2211yescharacteristic
170#95×D43C2211yescharacteristic
171#95×D43C2211yescharacteristic
172C43×#400C2211yescharacteristic
173C43×#398C2211yescharacteristic
174C43×#398C2211yescharacteristic
175C43×#398C2211yescharacteristic
176C43×#398C2211yescharacteristic
177C43×#398C2211yescharacteristic
178C43×#389C2211yescharacteristic
179C43×#389C2211yescharacteristic
180C43×#387C2211yescharacteristic
181C43×#387C2211yescharacteristic
182C43×#387C2211yescharacteristic
183C43×#387C2211yescharacteristic
184C43×#387C2211yescharacteristic
185C43×#387C2211yescharacteristic
186C43×#384C2211yescharacteristic
187C22×D172C2311yescharacteristic
188C22×D172C2311yescharacteristic
189C22×D172C2311yescharacteristic
190C22×D172C2311yescharacteristic
191C22×D172C2311yescharacteristic
192C22×D172C2311yescharacteristic
193C22×C4×D43C2311yescharacteristic
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#13063310—42no—
204#13063310—42no—
205#13063310—42no—
206#13063310—42no—
207#13063310—42no—
208#13063310—42no—
209#13063300—24no—
210#13063300—42no—
211#13063300—42no—
212C4×D172—42no—
213#13063287—24no—
214#13063287—42no—
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
238C2×Dic43⋊C4C2311yescharacteristic
239C4⋊C4×D43—24no—
240C4⋊C4×D43—42no—
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×(C2×D43)⋊C4C2311yescharacteristic
271C2×(C2×D43)⋊C4C2311yescharacteristic
272C2×(C2×D43)⋊C4C2311yescharacteristic
273C2×(C2×D43)⋊C4C2311yescharacteristic
274C2×(C2×D43)⋊C4C2311yescharacteristic
275C2×(C2×D43)⋊C4C2311yescharacteristic
276C2×(C2×D43)⋊C4C2311yescharacteristic
277C2×(C2×D43)⋊C4C2311yescharacteristic
278C2×(C2×D43)⋊C4C2311yescharacteristic
279C2×C4×Dic43C2311yescharacteristic
280C2×C4×Dic43C2311yescharacteristic
281C2×C4×Dic43C2311yescharacteristic
282C2×C4×Dic43C2311yescharacteristic
283C2×C4×Dic43C2311yescharacteristic
284C2×C4×Dic43C2311yescharacteristic
285C42×D43—42no—
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
320C43⋊#95C2311yescharacteristic
321C43⋊#95C2311yescharacteristic
322C2×C4⋊C4×C43C2311yescharacteristic
323C2×C4⋊C4×C43C2311yescharacteristic
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×C4⋊C4×C43C2311yescharacteristic
334C2×C4⋊C4×C43C2311yescharacteristic
335C2×C4⋊C4×C43C2311yescharacteristic
336C2×C4⋊C4×C43C2311yescharacteristic
337C2×C4⋊C4×C43C2311yescharacteristic
338C2×C42×C43C2311yescharacteristic
339C2×C42×C43C2311yescharacteristic
340C2×C42×C43C2311yescharacteristic
341#95×C43C2311yescharacteristic
342#95×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
357C23×D43C2411yescharacteristic
358C23×D43C2411yescharacteristic
359C23×D43C2411yescharacteristic
360C23×D43C2411yescharacteristic
361C22×C4×C43C2411yescharacteristic
362C22×C4×C43C2411yescharacteristic
363C22×C4×C43C2411yescharacteristic
364C22×C4×C43C2411yescharacteristic
365C22×C4×C43C2411yescharacteristic
366C22×C4×C43C2411yescharacteristic
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×Dic43C2411yescharacteristic
377C22×Dic43C2411yescharacteristic
378C22×Dic43C2411yescharacteristic
379C22×Dic43C2411yescharacteristic
380C22×Dic43C2411yescharacteristic
381C22×Dic43C2411yescharacteristic
382C22×Dic43C2411yescharacteristic
383C22×Dic43C2411yescharacteristic
384C22×Dic43C2411yescharacteristic
385C22×Dic43C2411yescharacteristic
386C22×Dic43C2411yescharacteristic
387C22×Dic43C2411yescharacteristic
388C2×D172—22no—
389C2×D172—22no—
390C2×D172—22no—
391C2×D172—22no—
392C2×D172—22no—
393C2×D172—22no—
394C2×D172—22no—
395C2×D172—22no—
396C2×D172—22no—
397C2×D172—22no—
398C2×D172—22no—
399C2×D172—41no—
400C2×D172—41no—
401C2×D172—41no—
402C2×D172—41no—
403C2×D172—41no—
404C2×D172—41no—
405C2×D172—41no—
406C2×C4×D43—22no—
407C2×C4×D43—22no—
408C2×C4×D43—22no—
409C2×C4×D43—22no—
410C2×C4×D43—22no—
411C2×C4×D43—22no—
412C2×C4×D43—22no—
413C2×C4×D43—22no—
414C2×C4×D43—22no—
415C2×C4×D43—22no—
416C2×C4×D43—22no—
417C2×C4×D43—22no—
418C2×C4×D43—41no—
419C2×C4×D43—41no—
420C2×C4×D43—41no—
421C2×C4×D43—41no—
422C2×C4×D43—41no—
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#4114yes—
436C4⋊C4×C43—22no—
437C4⋊C4×C43—22no—
438C4⋊C4×C43—22no—
439C4⋊C4×C43—22no—
440C4⋊C4×C43—41no—
441C4⋊C4×C43—41no—
442C4⋊C4×C43—41no—
443C4⋊C4×C43—41no—
444C4⋊C4×C43—41no—
445C4⋊C4×C43—41no—
446C4⋊C4×C43—41no—
447C4⋊C4×C43—41no—
448C4⋊C4×C43—41no—
449C4⋊C4×C43—41no—
450C4⋊C4×C43—41no—
451C4⋊C4×C43—41no—
452C42×C43—41no—
453C42×C43—41no—
454C42×C43—41no—
455(C2×D43)⋊C4—22no—
456(C2×D43)⋊C4—22no—
457(C2×D43)⋊C4—22no—
458(C2×D43)⋊C4—22no—
459(C2×D43)⋊C4—22no—
460(C2×D43)⋊C4—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—
493C4⋊Dic43—22no—
494C4⋊Dic43—22no—
495C4⋊Dic43—41no—
496C4⋊Dic43—41no—
497C4⋊Dic43—41no—
498C4⋊Dic43—41no—
499Dic43⋊C4—22no—
500Dic43⋊C4—22no—
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—
511Dic43⋊C4—41no—
512Dic43⋊C4—41no—
513Dic43⋊C4—41no—
514Dic43⋊C4—41no—
515Dic43⋊C4—41no—
516Dic43⋊C4—41no—
517C4×Dic43—22no—
518C4×Dic43—41no—
519C4×Dic43—41no—
520C4×Dic43—41no—
521C4×Dic43—41no—
522C4×Dic43—41no—
523C23×C43C2511yescharacteristic
524C22×D43—21no—
525C22×D43—21no—
526C22×D43—21no—
527C22×D43—21no—
528C22×D43—21no—
529C22×D43—21no—
530C22×D43—21no—
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×D43H(5,𝔽2)12yes—
552C2×C4×C43—21no—
553C2×C4×C43—21no—
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×C43—21no—
595C2×C4×C43C2×#4112yes—
596C2×C4×C432−1+412yes—
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×Dic43C2×#4112yes—
633D172—44no—
634D172—44no—
635D172—44no—
636D172—82no—
637D172—82no—
638D172—82no—
639C4×D43—44no—
640C4×D43—44no—
641C4×D43—44no—
642C4×D43—44no—
643C4×D43—44no—
644C4×D43—82no—
645C4×D43—82no—
646C4×D43—82no—
647C4×D43—82no—
648C4×D43—82no—
649#37000—431nomaximal, Sylow
650C22×C43C22×#4111yescharacteristic
651C22×C43C2×H(5,𝔽2)11yescharacteristic
652C22×C43C2×H(5,𝔽2)11yescharacteristic
653C22×C43C2×2−1+411yescharacteristic
654C22×C43#58511yescharacteristic
655C22×C43#58511yescharacteristic
656C22×C43#58511yescharacteristic
657C2×D43—22no—
658C2×D43—22no—
659C2×D43—22no—
660C2×D43—22no—
661C2×D43—22no—
662C2×D43—22no—
663C2×D43—41no—
664C2×D43—41no—
665C2×D43—41no—
666C2×D43—41no—
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#54014yes—
685C4×C43—22no—
686C4×C43—22no—
687C4×C43—41no—
688C4×C43—41no—
689C4×C43—41no—
690C4×C43—41no—
691C4×C43—41no—
692C4×C43—41no—
693C4×C43—41no—
694C4×C43—41no—
695C4×C43—41no—
696C4×C43—41no—
697C4×C43—41no—
698C4×C43—41no—
699C4×C43—41no—
700Dic43—22no—
701Dic43—41no—
702Dic43—41no—
703Dic43—41no—
704Dic43—41no—
705Dic43—41no—
706Dic43—41no—
707Dic43—41no—
708Dic43—41no—
709Dic43—41no—
710Dic43—41no—
711Dic43—41no—
712#2854—431no—
713#2853—431no—
714#2797—431no—
715#2793—431no—
716#2793—431no—
717#2791—431no—
718#2791D4311yescharacteristic, complemented
719#2786—431no—
720#2777—431no—
721#2773—431no—
722#2768—431no—
723#2752—431no—
724#2748—431no—
725#2743—431no—
726#2741—431no—
727#2740—431no—
728#2740—431no—
729#2738—431no—
730#2623—431no—
731#2618—431no—
732#2569—431no—
733#2543—431no—
734#2501—431no—
735#2486—431no—
736#2425—431no—
737#2425—431no—
738#2419—431no—
739#2419—431no—
740#2325—431no—
741#2318—431no—
742C2×#387—431no—
743C2×C43C2×#54011yescharacteristic
744C2×C43#349111yescharacteristic
745C2×C43#350711yescharacteristic
746C2×C43#353311yescharacteristic
747C2×C43#353511yescharacteristic
748C2×C43#355911yescharacteristic
749C2×C43#356011yescharacteristic
750D43—24no—
751D43—81no—
752D43—81no—
753D43—81no—
754C2×#123—431no—
755C2×#123—431no—
756C2×#123—431no—
757C2×#123—431no—
758C2×#123—431no—
759C2×#123—431no—
760C2×#121—431no—
761C2×#121—431no—
762C2×#121—431no—
763C2×C4×D4—431no—
764C2×C4×D4—431no—
765C2×C4×D4—431no—
766C22×C4⋊C4—431no—
767C22×C4⋊C4—431no—
768C22×C42—431no—
769#400—431no—
770#400—431no—
771#400—431no—
772#400—431no—
773#400—431no—
774#400C2×D4311yescharacteristic
775#399—431no—
776#399—431no—
777#399—431no—
778#399—431no—
779#399—431no—
780#399—431no—
781#398—431no—
782#398—431no—
783#398—431no—
784#398—431no—
785#398—431no—
786#398—431no—
787#398—431no—
788#398—431no—
789#398C2×D4311yescharacteristic
790#398C2×D4311yescharacteristic
791#398C2×D4311yescharacteristic
792#398C2×D4311yescharacteristic
793#398C2×D4311yescharacteristic
794#397—431no—
795#397—431no—
796#397—431no—
797#397—431no—
798#397—431no—
799#397—431no—
800#397—431no—
801#397—431no—
802#397—431no—
803#397—431no—
804#397—431no—
805#396—431no—
806#396—431no—
807#396—431no—
808#396—431no—
809#396—431no—
810#396—431no—
811#394—431no—
812#394—431no—
813#394—431no—
814#394—431no—
815#394—431no—
816#392—431no—
817#390—431no—
818#390—431no—
819#390—431no—
820#390—431no—
821#389—431no—
822#389—431no—
823#389—431no—
824#389—431no—
825#389C2×D4311yescharacteristic
826#389C2×D4311yescharacteristic
827#388—431no—
828#388—431no—
829#388—431no—
830#388—431no—
831#388—431no—
832#388—431no—
833#388—431no—
834#388—431no—
835#388—431no—
836#388—431no—
837#388—431no—
838#388—431no—
839#388—431no—
840#388—431no—
841#388—431no—
842#388—431no—
843#387—431no—
844#387—431no—
845#387—431no—
846#387—431no—
847#387—431no—
848#387—431no—
849#387—431no—
850#387—431no—
851#387—431no—
852#387—431no—
853#387—431no—
854#387—431no—
855#387—431no—
856#387—431no—
857#387—431no—
858#387—431no—
859#387—431no—
860#387—431no—
861#387C2×D4311yescharacteristic
862#387C2×D4311yescharacteristic
863#387C2×D4311yescharacteristic
864#387C2×D4311yescharacteristic
865#387C2×D4311yescharacteristic
866#387C2×D4311yescharacteristic
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#385—431no—
880#385—431no—
881#385—431no—
882#385—431no—
883#385—431no—
884#385—431no—
885#385—431no—
886#385—431no—
887#384—431no—
888#384C2×D4311yescharacteristic
889#383—431no—
890#382—431no—
891#381—431no—
892#381—431no—
893#381—431no—
894#381—431no—
895#381—431no—
896#380—431no—
897#380—431no—
898#380—431no—
899#380—431no—
900#380—431no—
901#380—431no—
902#380—431no—
903#380—431no—
904C4×C22⋊C4—431no—
905C2×#95—431no—
906C2×#95—431no—
907C2×#95—431no—
908C2×#95—431no—
909C43#3700011yescharacteristic, complemented, Sylow
910C22×D4—431no—
911C22×D4—431no—
912C22×D4—431no—
913C22×D4—431no—
914C22×D4—431no—
915C22×D4—431no—
916C23×C4—431no—
917C23×C4—431no—
918C23×C4—431no—
919C23×C4—431no—
920C23×C4—431no—
921C23×C4—431no—
922C23×C4—431no—
923C23×C4—431no—
924C23×C4—431no—
925C23×C4—431no—
926#123—1722no—
927#123—1722no—
928#123—1722no—
929#123—1722no—
930#123—1722no—
931#123—1722no—
932#121—864no—
933#121—1722no—
934#121—1722no—
935C4×D4—864no—
936C4×D4—1722no—
937C4×D4—1722no—
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—864no—
963C2×C4⋊C4—1722no—
964C2×C4⋊C4C22×D4311yescharacteristic
965C2×C4⋊C4C22×D4311yescharacteristic
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×C4⋊C4C22×D4311yescharacteristic
975C2×C4⋊C4C22×D4311yescharacteristic
976C2×C4⋊C4C22×D4311yescharacteristic
977C2×C4⋊C4C22×D4311yescharacteristic
978C2×C4⋊C4C22×D4311yescharacteristic
979C2×C4⋊C4C22×D4311yescharacteristic
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⋊C4—431no—
1014C2×C22⋊C4—431no—
1015C2×C22⋊C4—431no—
1016C2×C22⋊C4—431no—
1017C2×C22⋊C4—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
1027C2×C42C22×D4311yescharacteristic
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#95C22×D4311yescharacteristic
1065#95C22×D4311yescharacteristic
1066#95C22×D4311yescharacteristic
1067#95C22×D4311yescharacteristic
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
1080C24—431no—
1081C24—431no—
1082C24—431no—
1083C24—431no—
1084C2×D4—862no—
1085C2×D4—862no—
1086C2×D4—862no—
1087C2×D4—862no—
1088C2×D4—862no—
1089C2×D4—862no—
1090C2×D4—862no—
1091C2×D4—862no—
1092C2×D4—862no—
1093C2×D4—862no—
1094C2×D4—862no—
1095C2×D4—1721no—
1096C2×D4—1721no—
1097C2×D4—1721no—
1098C2×D4—1721no—
1099C2×D4—1721no—
1100C2×D4—1721no—
1101C2×D4—1721no—
1102C22×C4—431no—
1103C22×C4—434no—
1104C22×C4—431no—
1105C22×C4—431no—
1106C22×C4—431no—
1107C22×C4—431no—
1108C22×C4—431no—
1109C22×C4—431no—
1110C22×C4—431no—
1111C22×C4—431no—
1112C22×C4—431no—
1113C22×C4—431no—
1114C22×C4—431no—
1115C22×C4—862no—
1116C22×C4—862no—
1117C22×C4—862no—
1118C22×C4—862no—
1119C22×C4—862no—
1120C22×C4—862no—
1121C22×C4—862no—
1122C22×C4—862no—
1123C22×C4—862no—
1124C22×C4—862no—
1125C22×C4—862no—
1126C22×C4—862no—
1127C22×C4—1721no—
1128C22×C4—1721no—
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—1721no—
1139C22×C4—1721no—
1140C22×C4—1721no—
1141C22×C4—1721no—
1142C22×C4—1721no—
1143C22×C4—1721no—
1144C22×C4C23×D4311yescharacteristic
1145C22×C4C23×D4311yescharacteristic
1146C22×C4C23×D4311yescharacteristic
1147C22×C4C23×D4311yescharacteristic
1148C22×C4C23×D4311yescharacteristic
1149C22×C4C23×D4311yescharacteristic
1150C22×C4C23×D4311yescharacteristic
1151C22×C4C23×D4311yescharacteristic
1152C22×C4C23×D4311yescharacteristic
1153C22×C4C23×D4311yescharacteristic
1154C22×C4C23×D4311yescharacteristic
1155C22×C4C23×D4311yescharacteristic
1156C22×C4C23×D4311yescharacteristic
1157C22×C4C23×D4311yescharacteristic
1158C22×C4C23×D4311yescharacteristic
1159C4⋊C4—22no—
1160C4⋊C4—22no—
1161C4⋊C4—22no—
1162C4⋊C4—22no—
1163C4⋊C4—41no—
1164C4⋊C4—41no—
1165C4⋊C4—41no—
1166C4⋊C4—41no—
1167C4⋊C4—41no—
1168C4⋊C4—41no—
1169C4⋊C4—41no—
1170C4⋊C4—41no—
1171C4⋊C4—41no—
1172C4⋊C4—41no—
1173C4⋊C4—41no—
1174C4⋊C4—41no—
1175C4⋊C4—862no—
1176C4⋊C4—862no—
1177C4⋊C4—862no—
1178C4⋊C4—862no—
1179C4⋊C4—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—
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—
1199C22⋊C4—862no—
1200C22⋊C4—862no—
1201C22⋊C4—862no—
1202C22⋊C4—862no—
1203C22⋊C4—862no—
1204C22⋊C4—862no—
1205C22⋊C4—862no—
1206C22⋊C4—862no—
1207C22⋊C4—862no—
1208C22⋊C4—1721no—
1209C22⋊C4—1721no—
1210C22⋊C4—1721no—
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—
1237C42—41no—
1238C42—41no—
1239C42—41no—
1240C42—862no—
1241C42—1721no—
1242C42—1721no—
1243C42—1721no—
1244C42—1721no—
1245C42—1721no—
1246C23—432no—
1247C23—432no—
1248C23—432no—
1249C23—861no—
1250C23—861no—
1251C23—861no—
1252C23—861no—
1253C23—861no—
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—
1274C23C24×D4311yescharacteristic
1275D4—3442no—
1276D4—3442no—
1277D4—3442no—
1278D4—1724no—
1279D4—1724no—
1280D4—1724no—
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—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—432no—
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—3442no—
1361C2×C4—3442no—
1362C2×C4—3442no—
1363C2×C4—3442no—
1364C2×C4—3442no—
1365C2×C4—1724no—
1366C2×C4—1724no—
1367C2×C4—1724no—
1368C2×C4—1724no—
1369C2×C4—1724no—
1370C2×C4#41×D4312yes—
1371C2×C4#1306337312yes—
1372C22—434no—
1373C22—862no—
1374C22—862no—
1375C22—862no—
1376C22—862no—
1377C22—862no—
1378C22—862no—
1379C22—1721no—
1380C22—1721no—
1381C22—1721no—
1382C22—1721no—
1383C22—1721no—
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—
1400C22C2×#41×D4311yescharacteristic
1401C22H(5,𝔽2)×D4311yescharacteristic
1402C22H(5,𝔽2)×D4311yescharacteristic
1403C22C2×#1306337311yescharacteristic
1404C22#1458373511yescharacteristic
1405C22#1458373611yescharacteristic
1406C22#1458373611yescharacteristic
1407C4—22no—
1408C4—22no—
1409C4—41no—
1410C4—41no—
1411C4—41no—
1412C4—41no—
1413C4—41no—
1414C4—41no—
1415C4—41no—
1416C4—41no—
1417C4—41no—
1418C4—41no—
1419C4—41no—
1420C4—41no—
1421C4—41no—
1422C4—862no—
1423C4—1721no—
1424C4—1721no—
1425C4—1721no—
1426C4—1721no—
1427C4—1721no—
1428C4—1721no—
1429C4—1721no—
1430C4—1721no—
1431C4—1721no—
1432C4—1721no—
1433C4—1721no—
1434C2—864no—
1435C2—3441no—
1436C2—3441no—
1437C2—3441no—
1438C2#540×D4311yescharacteristic
1439C2#1914829011yescharacteristic
1440C2#1914846111yescharacteristic
1441C2#1914877111yescharacteristic
1442C2#1914879911yescharacteristic
1443C2#1914912811yescharacteristic
1444C2#1914914811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2791C2
prime radical#19139556C2
hypercenter#2791D43
hypocenterC43#37000
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2791

Complements

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

NH ≅ G/Ntype
1. #19142928C2semidirect
2. #19142919C2semidirect
3. #19142453C2semidirect
4. #19142400C2semidirect
5. #19142399C2semidirect
6. #19142385C2semidirect
7. #19142306C2semidirect
8. #19142195C2semidirect
9. #19142145C2semidirect
10. #19142078C2semidirect
11. #19141858C2semidirect
12. #19141807C2semidirect
13. #19141727C2semidirect
14. #19141704C2semidirect
15. #19141702C2semidirect
16. #19141692C2semidirect
17. #19141670C2semidirect
18. #19140382C2semidirect
19. #19140338C2semidirect
20. #19139818C2semidirect
22. #19139063C2semidirect
23. #19138898C2semidirect
24. #19138153C2semidirect
25. #19138139C2semidirect
26. #19138077C2semidirect
27. #19138073C2semidirect
28. #19137294C2semidirect
29. #19137227C2semidirect
30. #387×D43C2semidirect
31. C43×#2791C2semidirect
718. #2791D43semidirect
909. C43#37000semidirect

Maximal subgroups

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

subgroupindex
#191429282
#191429192
#191424532
#191424002
#191423992
#191423852
#191423062
#191421952
#191421452
#191420782
#191418582
#191418072
#191417272
#191417042
#191417022
#191416922
#191416702
#191403822
#191403382
#191398182
#191395562
#191390632
#191388982
#191381532
#191381392
#191380772
#191380732
#191372942
#191372272
#387×D432
C43×#27912
#3700043