Finite Group Databasebeta

← #25305512

Subgroups — #25305512

Order 11008.

1950 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19142907C211yesmaximal, characteristic, complemented
2#19142895C211yesmaximal, characteristic, complemented
3#19142575C211yesmaximal, characteristic, complemented
4#19142534C211yesmaximal, characteristic, complemented
5#19142529C211yesmaximal, characteristic, complemented
6#19142304C211yesmaximal, characteristic, complemented
7#19142260C211yesmaximal, characteristic, complemented
8#19142221C211yesmaximal, characteristic, complemented
9#19142214C211yesmaximal, characteristic, complemented
10#19142165C211yesmaximal, characteristic, complemented
11#19141966C211yesmaximal, characteristic, complemented
12#19141919C211yesmaximal, characteristic, complemented
13#19141917C211yesmaximal, characteristic, complemented
14#19141852C211yesmaximal, characteristic, complemented
15#19141623C211yesmaximal, characteristic, complemented
16#19141402C211yesmaximal, characteristic, complemented
17#19140997C211yesmaximal, characteristic, complemented
18#19140367C211yesmaximal, characteristic, complemented
19#19140328C211yesmaximal, characteristic, complemented
20#19139158C211yesmaximal, characteristic, complemented
21#19138722C211yesmaximal, characteristic, complemented
22#19138342C211yesmaximal, characteristic, complemented
23#19138276C211yesmaximal, characteristic, complemented
24#19138198C211yesmaximal, characteristic, complemented
25#19138128C211yesmaximal, characteristic, complemented
26#19137977C211yesmaximal, characteristic, complemented
27#19137909C211yesmaximal, characteristic, complemented
28#19137262C211yesmaximal, characteristic, complemented
29#19137185C211yesmaximal, characteristic, complemented
30#388×D43C211yesmaximal, characteristic, complemented
31C43×#2714C211yesmaximal, characteristic, complemented
32C22×#10621900C2211yescharacteristic
33C2×#13063312C2211yescharacteristic, complemented
34C2×#13063311C2211yescharacteristic
35C2×#13063307C2211yescharacteristic
36C2×#13063305C2211yescharacteristic
37C2×#13063296C2211yescharacteristic
38C2×#13063296C2211yescharacteristic
39C2×#13063293C2211yescharacteristic
40C2×#13063293C2211yescharacteristic
41C2×#13063293C2211yescharacteristic
42C2×C4×C22⋊D43C2211yescharacteristic
43C2×#13063282C2211yescharacteristic
44C2×C4⋊C4×D43C2211yescharacteristic
45C2×C22⋊C4×D43C2211yescharacteristic
46C2×C22⋊C4×D43C2211yescharacteristic
47C2×C22⋊C4×D43C2211yescharacteristic
48C2×C42×D43C2211yescharacteristic
49C43⋊#401C2211yescharacteristic, complemented
50#14582841C2211yescharacteristic, complemented
51#14582840C2211yescharacteristic, complemented
52#14582839C2211yescharacteristic, complemented
53#14582833C2211yescharacteristic, complemented
54#14582832C2211yescharacteristic, complemented
55#14582828C2211yescharacteristic
56#14582827C2211yescharacteristic
57#14582827C2211yescharacteristic, complemented
58#14582827C2211yescharacteristic, complemented
59#14582826C2211yescharacteristic
60#14582826C2211yescharacteristic
61#14582825C2211yescharacteristic
62#14582824C2211yescharacteristic
63#14582824C2211yescharacteristic
64#14582824C2211yescharacteristic, complemented
65#14582822C2211yescharacteristic
66#14582821C2211yescharacteristic
67#14582821C2211yescharacteristic
68#14582820C2211yescharacteristic, complemented
69#14582819C2211yescharacteristic, complemented
70#14582815C2211yescharacteristic
71#14582815C2211yescharacteristic
72#14582814C2211yescharacteristic
73#14582814C2211yescharacteristic
74#14582814C2211yescharacteristic
75#14582814C2211yescharacteristic
76#14582813C2211yescharacteristic
77#14582813C2211yescharacteristic
78#14582813C2211yescharacteristic
79#14582813C2211yescharacteristic
80#14582813C2211yescharacteristic
81#14582813C2211yescharacteristic
82#14582813C2211yescharacteristic, complemented
83#14582813C2211yescharacteristic, complemented
84#14582812C2211yescharacteristic
85#14582811C2211yescharacteristic
86#14582811C2211yescharacteristic
87#14582811C2211yescharacteristic, complemented
88#14582807C2211yescharacteristic
89#14582807C2211yescharacteristic
90#14582807C2211yescharacteristic
91#14582805C2211yescharacteristic, complemented
92#14582805C2211yescharacteristic, complemented
93#14582804C2211yescharacteristic, complemented
94#14582803C2211yescharacteristic, complemented
95#14582802C2211yescharacteristic
96#14582802C2211yescharacteristic, complemented
97#14582799C2211yescharacteristic
98#14582799C2211yescharacteristic
99#14582797C2211yescharacteristic, complemented
100#14582796C2211yescharacteristic, complemented
101#14582795C2211yescharacteristic, complemented
102#14582793C2211yescharacteristic
103#14582793C2211yescharacteristic
104#14582793C2211yescharacteristic, complemented
105#14582793C2211yescharacteristic, complemented
106#14582792C2211yescharacteristic
107#14582792C2211yescharacteristic
108#14582792C2211yescharacteristic
109#14582792C2211yescharacteristic, complemented
110#14582792C2211yescharacteristic, complemented
111#14582792C2211yescharacteristic, complemented
112#14582792C2211yescharacteristic, complemented
113#14582792C2211yescharacteristic, complemented
114#14582792C2211yescharacteristic, complemented
115#14582791C2211yescharacteristic
116#14582790C2211yescharacteristic
117#14582790C2211yescharacteristic
118#14582789C2211yescharacteristic
119#14582789C2211yescharacteristic
120#14582788C2211yescharacteristic
121#14582787C2211yescharacteristic
122#14582787C2211yescharacteristic, complemented
123#14582787C2211yescharacteristic, complemented
124#14582787C2211yescharacteristic, complemented
125#14582787C2211yescharacteristic, complemented
126#14582786C2211yescharacteristic, complemented
127#14582786C2211yescharacteristic, complemented
128#14582784C2211yescharacteristic, complemented
129#14582780C2211yescharacteristic, complemented
130#14582780C2211yescharacteristic, complemented
131#14582780C2211yescharacteristic, complemented
132#14582780C2211yescharacteristic, complemented
133#14582780C2211yescharacteristic, complemented
134#14582779C2211yescharacteristic
135#14582779C2211yescharacteristic
136#14582779C2211yescharacteristic, complemented
137#14582779C2211yescharacteristic, complemented
138#14582778C2211yescharacteristic
139#14582776C2211yescharacteristic
140#14582776C2211yescharacteristic
141#14582775C2211yescharacteristic
142#14582775C2211yescharacteristic
143#14582775C2211yescharacteristic
144#14582775C2211yescharacteristic
145#14582775C2211yescharacteristic
146#14582775C2211yescharacteristic
147#14582775C2211yescharacteristic
148#14582775C2211yescharacteristic
149#14582775C2211yescharacteristic
150#14582775C2211yescharacteristic
151#14582774C2211yescharacteristic, complemented
152#14582774C2211yescharacteristic, complemented
153#14582773C2211yescharacteristic
154#14582772C2211yescharacteristic, complemented
155#14582770C2211yescharacteristic
156#14582770C2211yescharacteristic
157#14582770C2211yescharacteristic
158#14582767C2211yescharacteristic, complemented
159#14582766C2211yescharacteristic, complemented
160#14582764C2211yescharacteristic, complemented
161#14582762C2211yescharacteristic, complemented
162#14582761C2211yescharacteristic
163#14582758C2211yescharacteristic
164#14582757C2211yescharacteristic, complemented
165#14582757C2211yescharacteristic, complemented
166#14582757C2211yescharacteristic, complemented
167#14582757C2211yescharacteristic, complemented
168#14582754C2211yescharacteristic
169#14582746C2211yescharacteristic
170#95×D43C2211yescharacteristic
171#95×D43C2211yescharacteristic
172C2×#126×C43C2211yescharacteristic, complemented
173C2×#121×C43C2211yescharacteristic
174C43×#397C2211yescharacteristic, complemented
175C43×#394C2211yescharacteristic
176C43×#394C2211yescharacteristic
177C43×#392C2211yescharacteristic
178C43×#392C2211yescharacteristic
179C43×#392C2211yescharacteristic, complemented
180C43×#390C2211yescharacteristic
181C43×#390C2211yescharacteristic, complemented
182C43×#390C2211yescharacteristic, complemented
183C43×#388C2211yescharacteristic
184C43×#387C2211yescharacteristic, complemented
185C43×#386C2211yescharacteristic, complemented
186C43×#385C2211yescharacteristic, complemented
187C24×D43C2311yescharacteristic
188C2×#10621900—24no—
189C2×#10621900—42no—
190C2×#10621900—42no—
191C22×Dic86C2311yescharacteristic
192C22×Dic86C2311yescharacteristic
193C22×C22⋊D43C2311yescharacteristic
194C22×C22⋊D43C2311yescharacteristic
195C22×C22⋊D43C2311yescharacteristic
196C22×C22⋊D43C2311yescharacteristic
197C22×C22⋊D43C2311yescharacteristic
198C22×C22⋊D43C2311yescharacteristic
199C23×Dic43C2311yescharacteristic
200C23×Dic43C2311yescharacteristic
201C22×C4×D43C2311yescharacteristic
202C22×C4×D43C2311yescharacteristic
203C22×C4×D43C2311yescharacteristic
204C22×C4×D43C2311yescharacteristic
205C22×C4×D43C2311yescharacteristic
206C22×C4×D43C2311yescharacteristic
207#13063312—42no—
208#13063311—42no—
209#13063307—24no—
210#13063305—42no—
211#13063296—42no—
212#13063296—42no—
213#13063293—42no—
214#13063293—42no—
215#13063293—42no—
216C4×C22⋊D43—42no—
217#13063282—42no—
218C2×C4⋊Dic43C2311yescharacteristic
219C2×C4⋊Dic43C2311yescharacteristic
220C2×C4⋊Dic43C2311yescharacteristic
221C2×C4⋊Dic43C2311yescharacteristic
222C2×C4⋊Dic43C2311yescharacteristic
223C2×C4⋊Dic43C2311yescharacteristic
224C2×C4⋊Dic43C2311yescharacteristic
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
237C4⋊C4×D43—42no—
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×C22⋊Dic43C2311yescharacteristic
257C2×C22⋊Dic43C2311yescharacteristic
258C2×C22⋊Dic43C2311yescharacteristic
259C2×C22⋊Dic43C2311yescharacteristic
260C2×C22⋊Dic43C2311yescharacteristic
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
277C22⋊C4×D43—24no—
278C22⋊C4×D43—42no—
279C22⋊C4×D43—42no—
280C2×C4×Dic43C2311yescharacteristic
281C2×C4×Dic43C2311yescharacteristic
282C2×C4×Dic43C2311yescharacteristic
283C2×C4×Dic43C2311yescharacteristic
284C2×C4×Dic43C2311yescharacteristic
285C2×C4×Dic43C2311yescharacteristic
286C2×C4×Dic43C2311yescharacteristic
287C42×D43—42no—
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
322C43⋊#95C2311yescharacteristic
323C43⋊#95C2311yescharacteristic
324C43⋊#95C2311yescharacteristic
325C43⋊#95C2311yescharacteristic
326C22×D4×C43C2311yescharacteristic
327C22×D4×C43C2311yescharacteristic
328C22×D4×C43C2311yescharacteristic
329C22×D4×C43C2311yescharacteristic
330C22×D4×C43C2311yescharacteristic
331C22×D4×C43C2311yescharacteristic
332C23×C4×C43C2311yescharacteristic
333#126×C43—42no—
334#121×C43—42no—
335C2×C4⋊C4×C43C2311yescharacteristic
336C2×C4⋊C4×C43C2311yescharacteristic
337C2×C4⋊C4×C43C2311yescharacteristic
338C2×C4⋊C4×C43C2311yescharacteristic
339C2×C4⋊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×C22⋊C4×C43C2311yescharacteristic
349C2×C22⋊C4×C43C2311yescharacteristic
350C2×C22⋊C4×C43C2311yescharacteristic
351C2×C22⋊C4×C43C2311yescharacteristic
352C2×C22⋊C4×C43C2311yescharacteristic
353C2×C22⋊C4×C43C2311yescharacteristic
354C2×C22⋊C4×C43C2311yescharacteristic
355C2×C42×C43C2311yescharacteristic
356C2×C42×C43C2311yescharacteristic
357#95×C43C2311yescharacteristic
358#95×C43C2311yescharacteristic
359#95×C43C2311yescharacteristic
360#95×C43C2311yescharacteristic
361#95×C43C2311yescharacteristic
362#95×C43C2311yescharacteristic
363C24×C43C2411yescharacteristic
364C24×C43C2411yescharacteristic
365C24×C43C2411yescharacteristic
366C24×C43C2411yescharacteristic
367C23×D43—22no—
368C23×D43—22no—
369C23×D43—22no—
370C23×D43—41no—
371C23×D43—41no—
372C23×D43—41no—
373C23×D43—41no—
374C23×D43C2411yescharacteristic
375C23×D43C2411yescharacteristic
376C2×D4×C43—22no—
377C2×D4×C43—22no—
378C2×D4×C43—41no—
379C2×D4×C43—41no—
380C2×D4×C43—41no—
381C2×D4×C43—41no—
382C2×D4×C43—41no—
383C2×D4×C43—41no—
384C2×D4×C43—41no—
385C2×D4×C43—41no—
386C2×D4×C43—41no—
387C2×D4×C43—41no—
388C2×D4×C43—41no—
389C2×D4×C43—41no—
390C2×D4×C43—41no—
391C2×D4×C43—41no—
392C2×D4×C43—41no—
393C2×D4×C43—41no—
394C22×C4×C43—41no—
395C22×C4×C43—41no—
396C22×C4×C43—41no—
397C22×C4×C43C2411yescharacteristic
398C22×C4×C43C2411yescharacteristic
399C22×C4×C43C2411yescharacteristic
400C22×C4×C43C2411yescharacteristic
401C22×C4×C43C2411yescharacteristic
402C22×C4×C43C2411yescharacteristic
403C22×C4×C43C2411yescharacteristic
404C22×C4×C43C2411yescharacteristic
405C22×C4×C43C2411yescharacteristic
406C22×C4×C43C2411yescharacteristic
407C22×C4×C43C2411yescharacteristic
408C2×C22⋊D43—22no—
409C2×C22⋊D43—22no—
410C2×C22⋊D43—22no—
411C2×C22⋊D43—22no—
412C2×C22⋊D43—22no—
413C2×C22⋊D43—22no—
414C2×C22⋊D43—22no—
415C2×C22⋊D43—22no—
416C2×C22⋊D43—22no—
417C2×C22⋊D43—41no—
418C2×C22⋊D43—41no—
419C2×C22⋊D43—41no—
420C2×C22⋊D43—41no—
421C2×C22⋊D43—41no—
422C2×C22⋊D43—41no—
423C2×C22⋊D43—41no—
424C2×C22⋊D43—41no—
425C2×C22⋊D43—41no—
426C22×Dic43—22no—
427C22×Dic43—22no—
428C22×Dic43—41no—
429C22×Dic43—41no—
430C22×Dic43—41no—
431C22×Dic43—41no—
432C22×Dic43C2411yescharacteristic
433C22×Dic43C2411yescharacteristic
434C22×Dic43C2411yescharacteristic
435C22×Dic43C2411yescharacteristic
436C22×Dic43C2411yescharacteristic
437C22×Dic43C2411yescharacteristic
438C22×Dic43C2411yescharacteristic
439C22×Dic43C2411yescharacteristic
440C22×Dic43C2411yescharacteristic
441C22×Dic43C2411yescharacteristic
442C22×Dic43C2411yescharacteristic
443C22×Dic43C2411yescharacteristic
444C22×Dic43C2411yescharacteristic
445C22×Dic43C2411yescharacteristic
446#10621900—416no—
447C2×C4×D43—22no—
448C2×C4×D43—22no—
449C2×C4×D43—22no—
450C2×C4×D43—22no—
451C2×C4×D43—22no—
452C2×C4×D43—22no—
453C2×C4×D43—22no—
454C2×C4×D43—22no—
455C2×C4×D43—41no—
456C2×C4×D43—41no—
457C2×C4×D43—41no—
458C2×C4×D43—41no—
459C2×C4×D43—41no—
460C2×C4×D43—41no—
461C2×C4×D43—41no—
462C2×C4×D43—41no—
463C2×C4×D43—41no—
464C2×C4×D43#4114yes—
465C2×Dic86—22no—
466C2×Dic86—22no—
467C2×Dic86—41no—
468C2×Dic86—41no—
469C2×Dic86—41no—
470C2×Dic86—41no—
471C4⋊C4×C43—22no—
472C4⋊C4×C43—41no—
473C4⋊C4×C43—41no—
474C4⋊C4×C43—41no—
475C4⋊C4×C43—41no—
476C22⋊C4×C43—22no—
477C22⋊C4×C43—22no—
478C22⋊C4×C43—22no—
479C22⋊C4×C43—22no—
480C22⋊C4×C43—41no—
481C22⋊C4×C43—41no—
482C22⋊C4×C43—41no—
483C22⋊C4×C43—41no—
484C22⋊C4×C43—41no—
485C22⋊C4×C43—41no—
486C22⋊C4×C43—41no—
487C22⋊C4×C43—41no—
488C22⋊C4×C43—41no—
489C22⋊C4×C43—41no—
490C22⋊C4×C43—41no—
491C42×C43—22no—
492C42×C43—41no—
493C22⋊Dic43—22no—
494C22⋊Dic43—22no—
495C22⋊Dic43—41no—
496C22⋊Dic43—41no—
497C22⋊Dic43—41no—
498C22⋊Dic43—41no—
499C22⋊Dic43—41no—
500C22⋊Dic43—41no—
501C22⋊Dic43—41no—
502C22⋊Dic43—41no—
503C22⋊Dic43—41no—
504C22⋊Dic43—41no—
505C22⋊Dic43—41no—
506C22⋊Dic43—41no—
507C22⋊Dic43—41no—
508C22⋊Dic43—41no—
509C22⋊Dic43—41no—
510C22⋊Dic43—41no—
511C22⋊Dic43—41no—
512C22⋊Dic43—41no—
513C22⋊Dic43—41no—
514C22⋊Dic43—41no—
515C22⋊Dic43—41no—
516(C2×D43)⋊C4—22no—
517(C2×D43)⋊C4—22no—
518(C2×D43)⋊C4—22no—
519(C2×D43)⋊C4—22no—
520(C2×D43)⋊C4—22no—
521(C2×D43)⋊C4—22no—
522(C2×D43)⋊C4—22no—
523(C2×D43)⋊C4—22no—
524(C2×D43)⋊C4—41no—
525(C2×D43)⋊C4—41no—
526(C2×D43)⋊C4—41no—
527(C2×D43)⋊C4—41no—
528(C2×D43)⋊C4—41no—
529(C2×D43)⋊C4—41no—
530(C2×D43)⋊C4—41no—
531(C2×D43)⋊C4—41no—
532C4⋊Dic43—22no—
533C4⋊Dic43—41no—
534C4⋊Dic43—41no—
535C4⋊Dic43—41no—
536C4⋊Dic43—41no—
537C4⋊Dic43—41no—
538C4⋊Dic43—41no—
539Dic43⋊C4—22no—
540Dic43⋊C4—41no—
541Dic43⋊C4—41no—
542Dic43⋊C4—41no—
543Dic43⋊C4—41no—
544Dic43⋊C4—41no—
545Dic43⋊C4—41no—
546Dic43⋊C4—41no—
547Dic43⋊C4—41no—
548Dic43⋊C4—41no—
549Dic43⋊C4—41no—
550Dic43⋊C4—41no—
551C4×Dic43—22no—
552C4×Dic43—41no—
553C4×Dic43—41no—
554C4×Dic43—41no—
555C4×Dic43—41no—
556C4×Dic43—41no—
557C4×Dic43—41no—
558C23×C43—21no—
559C23×C43—21no—
560C23×C43—21no—
561C23×C43—21no—
562C23×C43—21no—
563C23×C43—21no—
564C23×C43—21no—
565C23×C43—21no—
566C23×C43—21no—
567C23×C43—21no—
568C23×C43—21no—
569C23×C43—21no—
570C23×C43—21no—
571C23×C43—21no—
572C23×C43—21no—
573C23×C43—21no—
574C23×C43—21no—
575C23×C43—21no—
576C23×C43—21no—
577C23×C43—21no—
578C23×C43—21no—
579C23×C43—21no—
580C23×C43—21no—
581C23×C43—21no—
582C23×C43—21no—
583C23×C43—21no—
584C23×C43—21no—
585C23×C43—21no—
586C23×C43C2511yescharacteristic
587C22×D43—21no—
588C22×D43—21no—
589C22×D43—21no—
590C22×D43—21no—
591C22×D43—21no—
592C22×D43—21no—
593C22×D43—21no—
594C22×D43—21no—
595C22×D43—21no—
596C22×D43—21no—
597C22×D43—21no—
598C22×D43—44no—
599C22×D43—44no—
600C22×D43—44no—
601C22×D43—82no—
602C22×D43—82no—
603C22×D43—82no—
604C22×D43—82no—
605C22×D43C2×#4112yes—
606C22×D43H(5,𝔽2)12yes—
607C22×D43H(5,𝔽2)12yes—
608D4×C43—44no—
609D4×C43—82no—
610D4×C43—82no—
611D4×C43—82no—
612D4×C43—82no—
613D4×C43—82no—
614C2×C4×C43—21no—
615C2×C4×C43—21no—
616C2×C4×C43—21no—
617C2×C4×C43—21no—
618C2×C4×C43—21no—
619C2×C4×C43—21no—
620C2×C4×C43—21no—
621C2×C4×C43—21no—
622C2×C4×C43—21no—
623C2×C4×C43—21no—
624C2×C4×C43—21no—
625C2×C4×C43—21no—
626C2×C4×C43—21no—
627C2×C4×C43—21no—
628C2×C4×C43—21no—
629C2×C4×C43—21no—
630C2×C4×C43—21no—
631C2×C4×C43—21no—
632C2×C4×C43—21no—
633C2×C4×C43—21no—
634C2×C4×C43—21no—
635C2×C4×C43—21no—
636C2×C4×C43—21no—
637C2×C4×C43—21no—
638C2×C4×C43—21no—
639C2×C4×C43—21no—
640C2×C4×C43—21no—
641C2×C4×C43—21no—
642C2×C4×C43—21no—
643C2×C4×C43—21no—
644C2×C4×C43—21no—
645C2×C4×C43—82no—
646C2×C4×C43C2×#4112yes—
647C2×C4×C43H(5,𝔽2)12yes—
648C22⋊D43—44no—
649C22⋊D43—44no—
650C22⋊D43—44no—
651C22⋊D43—82no—
652C22⋊D43—82no—
653C22⋊D43—82no—
654C2×Dic43—21no—
655C2×Dic43—21no—
656C2×Dic43—21no—
657C2×Dic43—21no—
658C2×Dic43—21no—
659C2×Dic43—21no—
660C2×Dic43—21no—
661C2×Dic43—21no—
662C2×Dic43—21no—
663C2×Dic43—21no—
664C2×Dic43—21no—
665C2×Dic43—21no—
666C2×Dic43—21no—
667C2×Dic43—21no—
668C2×Dic43—21no—
669C2×Dic43—21no—
670C2×Dic43—21no—
671C2×Dic43—21no—
672C2×Dic43—21no—
673C2×Dic43—21no—
674C2×Dic43—21no—
675C2×Dic43—21no—
676C2×Dic43—21no—
677C2×Dic43—21no—
678C2×Dic43—21no—
679C2×Dic43—21no—
680C2×Dic43—21no—
681C2×Dic43—21no—
682C2×Dic43—21no—
683C2×Dic43—21no—
684C2×Dic43—21no—
685C2×Dic43—21no—
686C2×Dic43—21no—
687C2×Dic43—21no—
688C2×Dic43—21no—
689C2×Dic43—21no—
690C2×Dic43—21no—
691C2×Dic43—21no—
692C2×Dic43—21no—
693C2×Dic43—21no—
694C2×Dic43—21no—
695C2×Dic43—44no—
696C2×Dic43—44no—
697C2×Dic43C2×#4112yes—
698C4×D43—28no—
699C4×D43—44no—
700C4×D43—44no—
701C4×D43—44no—
702C4×D43—82no—
703C4×D43—82no—
704Dic86—44no—
705Dic86—82no—
706#36795—431nomaximal, Sylow
707C22×C43—41no—
708C22×C43—41no—
709C22×C43—41no—
710C22×C43—41no—
711C22×C43—41no—
712C22×C43—41no—
713C22×C43—41no—
714C22×C43—41no—
715C22×C43—41no—
716C22×C43—41no—
717C22×C43—41no—
718C22×C43—41no—
719C22×C43—41no—
720C22×C43—41no—
721C22×C43—41no—
722C22×C43—41no—
723C22×C43—41no—
724C22×C43—41no—
725C22×C43—41no—
726C22×C43—41no—
727C22×C43—41no—
728C22×C43—41no—
729C22×C43—41no—
730C22×C43—41no—
731C22×C43—41no—
732C22×C43—41no—
733C22×C43—41no—
734C22×C43—41no—
735C22×C43C22×#4111yescharacteristic
736C22×C43C2×H(5,𝔽2)11yescharacteristic
737C22×C43C2×H(5,𝔽2)11yescharacteristic
738C22×C43C2×H(5,𝔽2)11yescharacteristic
739C22×C43#58511yescharacteristic
740C22×C43#58511yescharacteristic
741C22×C43#58511yescharacteristic
742C2×D43—22no—
743C2×D43—22no—
744C2×D43—22no—
745C2×D43—22no—
746C2×D43—22no—
747C2×D43—22no—
748C2×D43—41no—
749C2×D43—41no—
750C2×D43—41no—
751C2×D43—41no—
752C2×D43—41no—
753C2×D43—41no—
754C2×D43—41no—
755C2×D43—88no—
756C2×D43#53814yes—
757C4×C43—22no—
758C4×C43—22no—
759C4×C43—41no—
760C4×C43—41no—
761C4×C43—41no—
762C4×C43—41no—
763C4×C43—41no—
764C4×C43—41no—
765C4×C43—41no—
766C4×C43—41no—
767C4×C43—41no—
768Dic43—22no—
769Dic43—41no—
770Dic43—41no—
771Dic43—41no—
772Dic43—41no—
773Dic43—41no—
774Dic43—41no—
775Dic43—41no—
776Dic43—41no—
777Dic43—41no—
778Dic43—41no—
779Dic43—41no—
780Dic43—41no—
781Dic43—41no—
782#2852—431no—
783#2850—431no—
784#2808—431no—
785#2803—431no—
786#2803—431no—
787#2786—431no—
788#2781—431no—
789#2779—431no—
790#2778—431no—
791#2775—431no—
792#2759—431no—
793#2756—431no—
794#2756—431no—
795#2751—431no—
796#2733—431no—
797#2715—431no—
798#2714D4311yescharacteristic, complemented
799#2686—431no—
800#2622—431no—
801#2617—431no—
802#2510—431no—
803#2472—431no—
804#2444—431no—
805#2438—431no—
806#2430—431no—
807#2424—431no—
808#2411—431no—
809#2404—431no—
810#2322—431no—
811#2311—431no—
812C2×#388—431no—
813C2×C43—81no—
814C2×C43—81no—
815C2×C43—81no—
816C2×C43—81no—
817C2×C43C2×#53811yescharacteristic
818C2×C43#349311yescharacteristic
819C2×C43#350611yescharacteristic
820C2×C43#353411yescharacteristic
821C2×C43#354211yescharacteristic
822C2×C43#354511yescharacteristic
823C2×C43#356011yescharacteristic
824D43—24no—
825D43—81no—
826C22×#41—431no—
827C2×#126C2×D4311yescharacteristic, complemented
828C2×#124—431no—
829C2×#124—431no—
830C2×#123—431no—
831C2×C22⋊Q8—431no—
832C2×#121—431no—
833C2×#121—431no—
834C2×#121C2×D4311yescharacteristic
835C2×#120—431no—
836C2×#120—431no—
837C2×#120—431no—
838C2×C4×D4—431no—
839C2×#117—431no—
840C22×C4⋊C4—431no—
841C22×C22⋊C4—431no—
842C22×C22⋊C4—431no—
843C22×C22⋊C4—431no—
844C22×C42—431no—
845#401—431no—
846#400—431no—
847#400—431no—
848#400—431no—
849#398—431no—
850#398—431no—
851#397—431no—
852#397—431no—
853#397—431no—
854#397—431no—
855#397—431no—
856#397—431no—
857#397—431no—
858#397—431no—
859#397—431no—
860#397—431no—
861#397C2×D4311yescharacteristic, complemented
862#396—431no—
863#396—431no—
864#396—431no—
865#395—431no—
866#395—431no—
867#394—431no—
868#394—431no—
869#394—431no—
870#394—431no—
871#394—431no—
872#394—431no—
873#394—431no—
874#394—431no—
875#394—431no—
876#394—431no—
877#394—431no—
878#394—431no—
879#394—431no—
880#394—431no—
881#394C2×D4311yescharacteristic
882#394C2×D4311yescharacteristic
883#393—431no—
884#393—431no—
885#393—431no—
886#393—431no—
887#392—431no—
888#392—431no—
889#392—431no—
890#392C2×D4311yescharacteristic
891#392C2×D4311yescharacteristic
892#392C2×D4311yescharacteristic, complemented
893#391—431no—
894#391—431no—
895#391—431no—
896#391—431no—
897#390—431no—
898#390—431no—
899#390—431no—
900#390—431no—
901#390C2×D4311yescharacteristic
902#390C2×D4311yescharacteristic, complemented
903#390C2×D4311yescharacteristic, complemented
904#389—431no—
905#389—431no—
906#389—431no—
907#388—431no—
908#388—431no—
909#388—431no—
910#388—431no—
911#388—431no—
912#388—431no—
913#388—431no—
914#388—431no—
915#388—431no—
916#388—431no—
917#388—431no—
918#388—431no—
919#388—431no—
920#388—431no—
921#388—431no—
922#388—431no—
923#388—431no—
924#388—431no—
925#388—431no—
926#388—431no—
927#388—431no—
928#388—431no—
929#388—431no—
930#388—431no—
931#388C2×D4311yescharacteristic
932#387—431no—
933#387—431no—
934#387—431no—
935#387—431no—
936#387—431no—
937#387—431no—
938#387—431no—
939#387—431no—
940#387C2×D4311yescharacteristic, complemented
941#386—431no—
942#386—431no—
943#386—431no—
944#386—431no—
945#386—431no—
946#386—431no—
947#386—431no—
948#386—431no—
949#386—431no—
950#386—431no—
951#386—431no—
952#386—431no—
953#386—431no—
954#386—431no—
955#386—431no—
956#386—431no—
957#386—431no—
958#386C2×D4311yescharacteristic, complemented
959#385—431no—
960#385—431no—
961#385—431no—
962#385—431no—
963#385—431no—
964#385—431no—
965#385—431no—
966#385C2×D4311yescharacteristic, complemented
967#383—431no—
968#383—431no—
969#382—431no—
970#381—431no—
971#381—431no—
972#380—431no—
973#380—431no—
974#380—431no—
975#380—431no—
976#380—431no—
977#379—431no—
978C4×C22⋊C4—431no—
979C2×#95—431no—
980C2×#95—431no—
981C43#3679511yescharacteristic, complemented, Sylow
982C25—431no—
983C2×#41—864no—
984C2×#41—1722no—
985C2×#41—1722no—
986C22×Q8—431no—
987C22×Q8—431no—
988C22×D4—431no—
989C22×D4—431no—
990C22×D4—431no—
991C22×D4—431no—
992C22×D4—431no—
993C22×D4—431no—
994C22×D4C22×D4311yescharacteristic
995C22×D4C22×D4311yescharacteristic
996C22×D4C22×D4311yescharacteristic
997C22×D4C22×D4311yescharacteristic
998C22×D4C22×D4311yescharacteristic
999C22×D4C22×D4311yescharacteristic
1000C23×C4—431no—
1001C23×C4—431no—
1002C23×C4—431no—
1003C23×C4—431no—
1004C23×C4—431no—
1005C23×C4—431no—
1006C23×C4—431no—
1007C23×C4—431no—
1008C23×C4C22×D4311yescharacteristic
1009#126—42no—
1010#124—1722no—
1011#124—1722no—
1012#123—864no—
1013C22⋊Q8—1722no—
1014#121—42no—
1015#121—1722no—
1016#121—1722no—
1017#120—1722no—
1018#120—1722no—
1019#120—1722no—
1020C4×D4—1722no—
1021#117—1722no—
1022C2×C4⋊C4—431no—
1023C2×C4⋊C4—431no—
1024C2×C4⋊C4—431no—
1025C2×C4⋊C4—431no—
1026C2×C4⋊C4—431no—
1027C2×C4⋊C4—431no—
1028C2×C4⋊C4—431no—
1029C2×C4⋊C4—431no—
1030C2×C4⋊C4—431no—
1031C2×C4⋊C4—431no—
1032C2×C4⋊C4—431no—
1033C2×C4⋊C4—431no—
1034C2×C4⋊C4—431no—
1035C2×C4⋊C4—431no—
1036C2×C4⋊C4—431no—
1037C2×C4⋊C4—431no—
1038C2×C4⋊C4—431no—
1039C2×C4⋊C4—431no—
1040C2×C4⋊C4—431no—
1041C2×C4⋊C4—1722no—
1042C2×C4⋊C4C22×D4311yescharacteristic
1043C2×C4⋊C4C22×D4311yescharacteristic
1044C2×C4⋊C4C22×D4311yescharacteristic
1045C2×C4⋊C4C22×D4311yescharacteristic
1046C2×C4⋊C4C22×D4311yescharacteristic
1047C2×C22⋊C4—431no—
1048C2×C22⋊C4—431no—
1049C2×C22⋊C4—431no—
1050C2×C22⋊C4—431no—
1051C2×C22⋊C4—431no—
1052C2×C22⋊C4—431no—
1053C2×C22⋊C4—431no—
1054C2×C22⋊C4—431no—
1055C2×C22⋊C4—431no—
1056C2×C22⋊C4—431no—
1057C2×C22⋊C4—431no—
1058C2×C22⋊C4—431no—
1059C2×C22⋊C4—431no—
1060C2×C22⋊C4—431no—
1061C2×C22⋊C4—431no—
1062C2×C22⋊C4—431no—
1063C2×C22⋊C4—431no—
1064C2×C22⋊C4—431no—
1065C2×C22⋊C4—431no—
1066C2×C22⋊C4—431no—
1067C2×C22⋊C4—431no—
1068C2×C22⋊C4—431no—
1069C2×C22⋊C4—431no—
1070C2×C22⋊C4—431no—
1071C2×C22⋊C4—431no—
1072C2×C22⋊C4—431no—
1073C2×C22⋊C4—431no—
1074C2×C22⋊C4—431no—
1075C2×C22⋊C4—431no—
1076C2×C22⋊C4—431no—
1077C2×C22⋊C4—431no—
1078C2×C22⋊C4—431no—
1079C2×C22⋊C4—431no—
1080C2×C22⋊C4—431no—
1081C2×C22⋊C4—431no—
1082C2×C22⋊C4—431no—
1083C2×C22⋊C4—431no—
1084C2×C22⋊C4—431no—
1085C2×C22⋊C4—431no—
1086C2×C22⋊C4—864no—
1087C2×C22⋊C4—1722no—
1088C2×C22⋊C4—1722no—
1089C2×C22⋊C4C22×D4311yescharacteristic
1090C2×C22⋊C4C22×D4311yescharacteristic
1091C2×C22⋊C4C22×D4311yescharacteristic
1092C2×C22⋊C4C22×D4311yescharacteristic
1093C2×C22⋊C4C22×D4311yescharacteristic
1094C2×C22⋊C4C22×D4311yescharacteristic
1095C2×C22⋊C4C22×D4311yescharacteristic
1096C2×C22⋊C4C22×D4311yescharacteristic
1097C2×C22⋊C4C22×D4311yescharacteristic
1098C2×C22⋊C4C22×D4311yescharacteristic
1099C2×C22⋊C4C22×D4311yescharacteristic
1100C2×C22⋊C4C22×D4311yescharacteristic
1101C2×C22⋊C4C22×D4311yescharacteristic
1102C2×C22⋊C4C22×D4311yescharacteristic
1103C2×C22⋊C4C22×D4311yescharacteristic
1104C2×C42—431no—
1105C2×C42—431no—
1106C2×C42—431no—
1107C2×C42—431no—
1108C2×C42—431no—
1109C2×C42—431no—
1110C2×C42—431no—
1111C2×C42—1722no—
1112C2×C42C22×D4311yescharacteristic
1113C2×C42C22×D4311yescharacteristic
1114#95—431no—
1115#95—431no—
1116#95—431no—
1117#95—431no—
1118#95—431no—
1119#95—431no—
1120#95—431no—
1121#95—431no—
1122#95—431no—
1123#95—431no—
1124#95—431no—
1125#95—431no—
1126#95—431no—
1127#95—431no—
1128#95—431no—
1129#95—431no—
1130#95—431no—
1131#95—431no—
1132#95—431no—
1133#95—431no—
1134#95—431no—
1135#95—431no—
1136#95—431no—
1137#95—431no—
1138#95—431no—
1139#95—431no—
1140#95—431no—
1141#95—431no—
1142#95—431no—
1143#95—431no—
1144#95—431no—
1145#95—431no—
1146#95—431no—
1147#95—431no—
1148#95—431no—
1149#95—431no—
1150#95—431no—
1151#95—431no—
1152#95C22×D4311yescharacteristic
1153#95C22×D4311yescharacteristic
1154#95C22×D4311yescharacteristic
1155#95C22×D4311yescharacteristic
1156#95C22×D4311yescharacteristic
1157#95C22×D4311yescharacteristic
1158C24—431no—
1159C24—431no—
1160C24—862no—
1161C24—862no—
1162C24—862no—
1163C24—1721no—
1164C24—1721no—
1165C24—1721no—
1166C24—1721no—
1167C24C23×D4311yescharacteristic
1168C24C23×D4311yescharacteristic
1169C24C23×D4311yescharacteristic
1170C24C23×D4311yescharacteristic
1171#41—17216no—
1172C2×Q8—862no—
1173C2×Q8—862no—
1174C2×Q8—1721no—
1175C2×Q8—1721no—
1176C2×Q8—1721no—
1177C2×Q8—1721no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—862no—
1197C2×D4—862no—
1198C2×D4—862no—
1199C2×D4—862no—
1200C2×D4—862no—
1201C2×D4—862no—
1202C2×D4—862no—
1203C2×D4—862no—
1204C2×D4—862no—
1205C2×D4—1721no—
1206C2×D4—1721no—
1207C2×D4—1721no—
1208C2×D4—1721no—
1209C2×D4—1721no—
1210C2×D4—1721no—
1211C2×D4—1721no—
1212C2×D4—1721no—
1213C2×D4—1721no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—431no—
1218C22×C4—434no—
1219C22×C4—431no—
1220C22×C4—431no—
1221C22×C4—431no—
1222C22×C4—431no—
1223C22×C4—431no—
1224C22×C4—431no—
1225C22×C4—431no—
1226C22×C4—431no—
1227C22×C4—431no—
1228C22×C4—431no—
1229C22×C4—431no—
1230C22×C4—431no—
1231C22×C4—431no—
1232C22×C4—862no—
1233C22×C4—862no—
1234C22×C4—862no—
1235C22×C4—862no—
1236C22×C4—862no—
1237C22×C4—862no—
1238C22×C4—862no—
1239C22×C4—862no—
1240C22×C4—862no—
1241C22×C4—862no—
1242C22×C4—1721no—
1243C22×C4—1721no—
1244C22×C4—1721no—
1245C22×C4—1721no—
1246C22×C4—1721no—
1247C22×C4—1721no—
1248C22×C4—1721no—
1249C22×C4—1721no—
1250C22×C4—1721no—
1251C22×C4—1721no—
1252C22×C4—1721no—
1253C22×C4—1721no—
1254C22×C4—1721no—
1255C22×C4C23×D4311yescharacteristic
1256C22×C4C23×D4311yescharacteristic
1257C22×C4C23×D4311yescharacteristic
1258C22×C4C23×D4311yescharacteristic
1259C22×C4C23×D4311yescharacteristic
1260C22×C4C23×D4311yescharacteristic
1261C22×C4C23×D4311yescharacteristic
1262C22×C4C23×D4311yescharacteristic
1263C22×C4C23×D4311yescharacteristic
1264C22×C4C23×D4311yescharacteristic
1265C22×C4C23×D4311yescharacteristic
1266C4⋊C4—22no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—862no—
1272C4⋊C4—862no—
1273C4⋊C4—1721no—
1274C4⋊C4—1721no—
1275C4⋊C4—1721no—
1276C4⋊C4—1721no—
1277C4⋊C4—1721no—
1278C4⋊C4—1721no—
1279C4⋊C4—1721no—
1280C4⋊C4—1721no—
1281C4⋊C4—1721no—
1282C4⋊C4—1721no—
1283C4⋊C4—1721no—
1284C4⋊C4—1721no—
1285C4⋊C4—1721no—
1286C4⋊C4—1721no—
1287C4⋊C4—1721no—
1288C4⋊C4—1721no—
1289C4⋊C4—1721no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—862no—
1306C22⋊C4—862no—
1307C22⋊C4—862no—
1308C22⋊C4—862no—
1309C22⋊C4—862no—
1310C22⋊C4—862no—
1311C22⋊C4—862no—
1312C22⋊C4—862no—
1313C22⋊C4—862no—
1314C22⋊C4—862no—
1315C22⋊C4—1721no—
1316C22⋊C4—1721no—
1317C22⋊C4—1721no—
1318C22⋊C4—1721no—
1319C22⋊C4—1721no—
1320C22⋊C4—1721no—
1321C22⋊C4—1721no—
1322C22⋊C4—1721no—
1323C22⋊C4—1721no—
1324C22⋊C4—1721no—
1325C22⋊C4—1721no—
1326C22⋊C4—1721no—
1327C22⋊C4—1721no—
1328C22⋊C4—1721no—
1329C22⋊C4—1721no—
1330C22⋊C4—1721no—
1331C22⋊C4—1721no—
1332C22⋊C4—1721no—
1333C22⋊C4—1721no—
1334C22⋊C4—1721no—
1335C22⋊C4—1721no—
1336C22⋊C4—1721no—
1337C22⋊C4—1721no—
1338C22⋊C4—1721no—
1339C22⋊C4—1721no—
1340C22⋊C4—1721no—
1341C22⋊C4—1721no—
1342C22⋊C4—1721no—
1343C22⋊C4—1721no—
1344C42—22no—
1345C42—41no—
1346C42—862no—
1347C42—1721no—
1348C42—1721no—
1349C42—1721no—
1350C42—1721no—
1351C42—1721no—
1352C42—1721no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—432no—
1382C23—432no—
1383C23—432no—
1384C23—861no—
1385C23—861no—
1386C23—861no—
1387C23—861no—
1388C23—861no—
1389C23—861no—
1390C23—861no—
1391C23—861no—
1392C23—861no—
1393C23—861no—
1394C23—861no—
1395C23—3442no—
1396C23—3442no—
1397C23—3442no—
1398C23—3442no—
1399C23—1724no—
1400C23—1724no—
1401C23—1724no—
1402C23C24×D4311yescharacteristic
1403Q8—3442no—
1404Q8—1724no—
1405D4—44no—
1406D4—82no—
1407D4—82no—
1408D4—82no—
1409D4—82no—
1410D4—82no—
1411D4—3442no—
1412D4—3442no—
1413D4—3442no—
1414D4—1724no—
1415D4—1724no—
1416D4—1724no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—82no—
1449C2×C4—432no—
1450C2×C4—868no—
1451C2×C4—861no—
1452C2×C4—861no—
1453C2×C4—861no—
1454C2×C4—861no—
1455C2×C4—861no—
1456C2×C4—861no—
1457C2×C4—861no—
1458C2×C4—861no—
1459C2×C4—861no—
1460C2×C4—861no—
1461C2×C4—861no—
1462C2×C4—861no—
1463C2×C4—861no—
1464C2×C4—861no—
1465C2×C4—861no—
1466C2×C4—861no—
1467C2×C4—861no—
1468C2×C4—861no—
1469C2×C4—861no—
1470C2×C4—861no—
1471C2×C4—861no—
1472C2×C4—861no—
1473C2×C4—861no—
1474C2×C4—861no—
1475C2×C4—861no—
1476C2×C4—861no—
1477C2×C4—861no—
1478C2×C4—861no—
1479C2×C4—861no—
1480C2×C4—861no—
1481C2×C4—861no—
1482C2×C4—861no—
1483C2×C4—861no—
1484C2×C4—861no—
1485C2×C4—861no—
1486C2×C4—861no—
1487C2×C4—861no—
1488C2×C4—861no—
1489C2×C4—861no—
1490C2×C4—861no—
1491C2×C4—861no—
1492C2×C4—3442no—
1493C2×C4—3442no—
1494C2×C4—1724no—
1495C2×C4—1724no—
1496C2×C4—1724no—
1497C2×C4—1724no—
1498C2×C4—1724no—
1499C2×C4#41×D4312yes—
1500C2×C4#1306337012yes—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—434no—
1530C22—862no—
1531C22—862no—
1532C22—862no—
1533C22—862no—
1534C22—862no—
1535C22—862no—
1536C22—3448no—
1537C22—1721no—
1538C22—1721no—
1539C22—1721no—
1540C22—1721no—
1541C22—1721no—
1542C22—1721no—
1543C22—1721no—
1544C22C2×#41×D4311yescharacteristic
1545C22H(5,𝔽2)×D4311yescharacteristic
1546C22H(5,𝔽2)×D4311yescharacteristic
1547C22C2×#1306337011yescharacteristic
1548C22#1458373411yescharacteristic
1549C22#1458373411yescharacteristic
1550C22#1458373511yescharacteristic
1551C4—22no—
1552C4—22no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—862no—
1563C4—1721no—
1564C4—1721no—
1565C4—1721no—
1566C4—1721no—
1567C4—1721no—
1568C4—1721no—
1569C4—1721no—
1570C4—1721no—
1571C4—1721no—
1572C4—1721no—
1573C4—1721no—
1574C4—1721no—
1575C4—1721no—
1576C2—81no—
1577C2—81no—
1578C2—81no—
1579C2—81no—
1580C2—864no—
1581C2—3441no—
1582C2#538×D4311yescharacteristic
1583C2#1914831111yescharacteristic
1584C2#1914843911yescharacteristic
1585C2#1914877711yescharacteristic
1586C2#1914891311yescharacteristic
1587C2#1914894611yescharacteristic
1588C2#1914914511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2714C2
hypercenter#2714D43
hypocenterC43#36795
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2714

Complements

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

NH ≅ G/Ntype
1. #19142907C2semidirect
2. #19142895C2semidirect
3. #19142575C2semidirect
4. #19142534C2semidirect
5. #19142529C2semidirect
6. #19142304C2semidirect
7. #19142260C2semidirect
8. #19142221C2semidirect
9. #19142214C2semidirect
10. #19142165C2semidirect
11. #19141966C2semidirect
12. #19141919C2semidirect
13. #19141917C2semidirect
14. #19141852C2semidirect
15. #19141623C2semidirect
16. #19141402C2semidirect
17. #19140997C2semidirect
18. #19140367C2semidirect
19. #19140328C2semidirect
20. #19139158C2semidirect
21. #19138722C2semidirect
22. #19138342C2semidirect
23. #19138276C2semidirect
24. #19138198C2semidirect
25. #19138128C2semidirect
26. #19137977C2semidirect
27. #19137909C2semidirect
28. #19137262C2semidirect
29. #19137185C2semidirect
30. #388×D43C2semidirect
31. C43×#2714C2semidirect
33. C2×#13063312C22semidirect
49. C43⋊#401C22semidirect
50. #14582841C22semidirect
51. #14582840C22semidirect
52. #14582839C22semidirect
53. #14582833C22semidirect
54. #14582832C22semidirect
57. #14582827C22semidirect
58. #14582827C22semidirect
64. #14582824C22semidirect
68. #14582820C22semidirect
69. #14582819C22semidirect
82. #14582813C22semidirect
83. #14582813C22semidirect
87. #14582811C22semidirect
91. #14582805C22semidirect
92. #14582805C22semidirect
93. #14582804C22semidirect
94. #14582803C22semidirect
96. #14582802C22semidirect
99. #14582797C22semidirect
100. #14582796C22semidirect
101. #14582795C22semidirect
104. #14582793C22semidirect
105. #14582793C22semidirect
109. #14582792C22semidirect
110. #14582792C22semidirect
111. #14582792C22semidirect
112. #14582792C22semidirect
113. #14582792C22semidirect
114. #14582792C22semidirect
122. #14582787C22semidirect
123. #14582787C22semidirect
124. #14582787C22semidirect
125. #14582787C22semidirect
126. #14582786C22semidirect
127. #14582786C22semidirect
128. #14582784C22semidirect
129. #14582780C22semidirect
130. #14582780C22semidirect
131. #14582780C22semidirect
132. #14582780C22semidirect
133. #14582780C22semidirect
136. #14582779C22semidirect
137. #14582779C22semidirect
151. #14582774C22semidirect
152. #14582774C22semidirect
154. #14582772C22semidirect
158. #14582767C22semidirect
159. #14582766C22semidirect
160. #14582764C22semidirect
161. #14582762C22semidirect
164. #14582757C22semidirect
165. #14582757C22semidirect
166. #14582757C22semidirect
167. #14582757C22semidirect
172. C2×#126×C43C22semidirect
174. C43×#397C22semidirect
179. C43×#392C22semidirect
181. C43×#390C22semidirect
182. C43×#390C22semidirect
184. C43×#387C22semidirect
185. C43×#386C22semidirect
186. C43×#385C22semidirect
798. #2714D43semidirect
827. C2×#126C2×D43semidirect
861. #397C2×D43semidirect
892. #392C2×D43semidirect
902. #390C2×D43semidirect
903. #390C2×D43semidirect
940. #387C2×D43semidirect
958. #386C2×D43semidirect
966. #385C2×D43semidirect
981. C43#36795semidirect

Maximal subgroups

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

subgroupindex
#191429072
#191428952
#191425752
#191425342
#191425292
#191423042
#191422602
#191422212
#191422142
#191421652
#191419662
#191419192
#191419172
#191418522
#191416232
#191414022
#191409972
#191403672
#191403282
#191391582
#191387222
#191383422
#191382762
#191381982
#191381282
#191379772
#191379092
#191372622
#191371852
#388×D432
C43×#27142
#3679543