Finite Group Databasebeta

← #25303691

Subgroups — #25303691

Order 11008.

2644 conjugacy classes of subgroups.

The subgroup lattice has 1818 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583485C211yesmaximal, characteristic, complemented
2C2×#14583407C211yesmaximal, characteristic, complemented
3#19142890C211yesmaximal, characteristic, complemented
4#19142874C211yesmaximal, characteristic, complemented
5#19141264C211yesmaximal, characteristic, complemented
6#19141221C211yesmaximal, characteristic, complemented
7#19141198C211yesmaximal, characteristic, complemented
8#19141177C211yesmaximal, characteristic, complemented
9#19141019C211yesmaximal, characteristic, complemented
10#19140948C211yesmaximal, characteristic, complemented
11#19140947C211yesmaximal, characteristic, complemented
12#19140928C211yesmaximal, characteristic, complemented
13#19140923C211yesmaximal, characteristic, complemented
14#19140917C211yesmaximal, characteristic, complemented
15#19140917C211yesmaximal, characteristic, complemented
16#19140853C211yesmaximal, characteristic, complemented
17#19140822C211yesmaximal, characteristic, complemented
18#19140814C211yesmaximal, characteristic, complemented
19#19140807C211yesmaximal, characteristic, complemented
20#19140484C211yesmaximal, characteristic, complemented
21#19140441C211yesmaximal, characteristic, complemented
22#19140279C211yesmaximal, characteristic, complemented
23#19140218C211yesmaximal, characteristic, complemented
24#19140185C211yesmaximal, characteristic, complemented
25#19140181C211yesmaximal, characteristic, complemented
26#19139561C211yesmaximal, characteristic, complemented
27#19139486C211yesmaximal, characteristic, complemented
28#19137936C211yesmaximal, characteristic, complemented
29#19137909C211yesmaximal, characteristic, complemented
30#19137234C211yesmaximal, characteristic, complemented
31C43×#2682C211yesmaximal, characteristic, complemented
32C22×#10621900C2211yescharacteristic
33C23×C4×D43C2211yescharacteristic, complemented
34#14583485—28no—
35C2×#13063321C2211yescharacteristic
36C2×#13063320C2211yescharacteristic, complemented
37C2×#13063318C2211yescharacteristic, complemented
38C2×#13063311C2211yescharacteristic
39C2×#13063311C2211yescharacteristic, complemented
40C2×#13063311C2211yescharacteristic, complemented
41#14583407—28no—
42C2×#13063310C2211yescharacteristic
43C2×#13063310C2211yescharacteristic
44C2×#13063310C2211yescharacteristic
45C2×#13063308C2211yescharacteristic
46C2×#13063305C2211yescharacteristic, complemented
47C2×#13063304C2211yescharacteristic, complemented
48C2×#13063303C2211yescharacteristic, complemented
49C2×#13063303C2211yescharacteristic, complemented
50C2×#13063299C2211yescharacteristic
51C2×#13063298C2211yescharacteristic
52C2×#13063298C2211yescharacteristic
53C2×#13063298C2211yescharacteristic
54C2×#13063296C2211yescharacteristic
55C2×#13063296C2211yescharacteristic
56C2×#13063295C2211yescharacteristic
57C2×#13063295C2211yescharacteristic
58C2×#13063295C2211yescharacteristic
59C2×#13063295C2211yescharacteristic
60C2×#13063293C2211yescharacteristic
61C2×#13063293C2211yescharacteristic
62C2×#13063293C2211yescharacteristic, complemented
63C2×#13063293C2211yescharacteristic, complemented
64C2×#13063293C2211yescharacteristic, complemented
65C2×#13063293C2211yescharacteristic, complemented
66C2×#13063287C2211yescharacteristic
67C2×#13063287C2211yescharacteristic
68C2×C4×C22⋊D43C2211yescharacteristic, complemented
69C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
70C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
71C2×#13063281C2211yescharacteristic, complemented
72C2×C22⋊C4×D43C2211yescharacteristic, complemented
73#14582839C2211yescharacteristic, complemented
74#14582835C2211yescharacteristic, complemented
75#14582832C2211yescharacteristic, complemented
76#14582832C2211yescharacteristic, complemented
77#14582829C2211yescharacteristic, complemented
78#14582827C2211yescharacteristic, complemented
79#14582825C2211yescharacteristic, complemented
80#14582825C2211yescharacteristic, complemented
81#14582822C2211yescharacteristic, complemented
82#14582822C2211yescharacteristic, complemented
83#14582821C2211yescharacteristic, complemented
84#14582821C2211yescharacteristic, complemented
85#14582819C2211yescharacteristic, complemented
86#14582817C2211yescharacteristic
87#14582817C2211yescharacteristic
88#14582816C2211yescharacteristic
89#14582816C2211yescharacteristic
90#14582815C2211yescharacteristic
91#14582815C2211yescharacteristic, complemented
92#14582815C2211yescharacteristic, complemented
93#14582815C2211yescharacteristic, complemented
94#14582815C2211yescharacteristic, complemented
95#14582815C2211yescharacteristic, complemented
96#14582815C2211yescharacteristic, complemented
97#14582814C2211yescharacteristic
98#14582814C2211yescharacteristic
99#14582814C2211yescharacteristic, complemented
100#14582814C2211yescharacteristic, complemented
101#14582814C2211yescharacteristic, complemented
102#14582813C2211yescharacteristic, complemented
103#14582812C2211yescharacteristic, complemented
104#14582811C2211yescharacteristic, complemented
105#14582811C2211yescharacteristic, complemented
106#14582808C2211yescharacteristic
107#14582808C2211yescharacteristic
108#14582807C2211yescharacteristic
109#14582807C2211yescharacteristic
110#14582807C2211yescharacteristic
111#14582807C2211yescharacteristic
112#14582807C2211yescharacteristic
113#14582807C2211yescharacteristic, complemented
114#14582807C2211yescharacteristic, complemented
115#14582804C2211yescharacteristic, complemented
116#14582803C2211yescharacteristic, complemented
117#14582802C2211yescharacteristic
118#14582802C2211yescharacteristic, complemented
119#14582801C2211yescharacteristic
120#14582800C2211yescharacteristic
121#14582799C2211yescharacteristic
122#14582799C2211yescharacteristic
123#14582799C2211yescharacteristic, complemented
124#14582798C2211yescharacteristic, complemented
125#14582796C2211yescharacteristic, complemented
126#14582793C2211yescharacteristic, complemented
127#14582793C2211yescharacteristic, complemented
128#14582793C2211yescharacteristic, complemented
129#14582793C2211yescharacteristic, complemented
130#14582792C2211yescharacteristic, complemented
131#14582791C2211yescharacteristic, complemented
132#14582791C2211yescharacteristic, complemented
133#14582791C2211yescharacteristic, complemented
134#14582790C2211yescharacteristic, complemented
135#14582790C2211yescharacteristic, complemented
136#14582789C2211yescharacteristic, complemented
137#14582789C2211yescharacteristic, complemented
138#14582789C2211yescharacteristic, complemented
139#14582787C2211yescharacteristic, complemented
140#14582782C2211yescharacteristic, complemented
141#14582780C2211yescharacteristic, complemented
142#14582779C2211yescharacteristic
143#14582779C2211yescharacteristic, complemented
144#14582779C2211yescharacteristic, complemented
145#14582779C2211yescharacteristic, complemented
146#14582778C2211yescharacteristic
147#14582778C2211yescharacteristic, complemented
148#14582777C2211yescharacteristic
149#14582777C2211yescharacteristic
150#14582776C2211yescharacteristic
151#14582776C2211yescharacteristic, complemented
152#14582775C2211yescharacteristic
153#14582775C2211yescharacteristic
154#14582775C2211yescharacteristic
155#14582775C2211yescharacteristic, complemented
156#14582775C2211yescharacteristic, complemented
157#14582775C2211yescharacteristic, complemented
158#14582771C2211yescharacteristic, complemented
159#14582771C2211yescharacteristic, complemented
160#14582770C2211yescharacteristic, complemented
161#14582770C2211yescharacteristic, complemented
162#14582761C2211yescharacteristic, complemented
163#14582761C2211yescharacteristic, complemented
164#14582761C2211yescharacteristic, complemented
165#14582761C2211yescharacteristic, complemented
166#14582759C2211yescharacteristic, complemented
167#14582756C2211yescharacteristic, complemented
168#14582756C2211yescharacteristic, complemented
169#14582756C2211yescharacteristic, complemented
170#14582754C2211yescharacteristic, complemented
171#14582754C2211yescharacteristic, complemented
172C4⋊C4×Dic43C2211yescharacteristic, complemented
173#14582745C2211yescharacteristic, complemented
174C2×#123×C43C2211yescharacteristic, complemented
175C2×#123×C43C2211yescharacteristic, complemented
176C2×#121×C43C2211yescharacteristic
177C2×#121×C43C2211yescharacteristic, complemented
178C43×#396C2211yescharacteristic, complemented
179C43×#396C2211yescharacteristic, complemented
180C43×#394C2211yescharacteristic
181C43×#394C2211yescharacteristic, complemented
182C43×#392C2211yescharacteristic
183C43×#392C2211yescharacteristic, complemented
184C43×#390C2211yescharacteristic, complemented
185C43×#390C2211yescharacteristic, complemented
186C43×#389C2211yescharacteristic, complemented
187C43×#385C2211yescharacteristic, complemented
188C43×#385C2211yescharacteristic, complemented
189C24×D43C2311yescharacteristic
190C24×D43C2311yescharacteristic
191C2×#10621900—24no—
192C2×#10621900—42no—
193C2×#10621900—42no—
194C22×Dic86C2311yescharacteristic
195C22×Dic86C2311yescharacteristic
196C22×D172C2311yescharacteristic
197C22×D172C2311yescharacteristic
198C22×D172C2311yescharacteristic
199C22×D172C2311yescharacteristic
200C22×C22⋊D43C2311yescharacteristic
201C22×C22⋊D43C2311yescharacteristic
202C22×C22⋊D43C2311yescharacteristic
203C22×C22⋊D43C2311yescharacteristic
204C22×C22⋊D43C2311yescharacteristic
205C22×C22⋊D43C2311yescharacteristic
206C22×C22⋊D43C2311yescharacteristic
207C22×C22⋊D43C2311yescharacteristic
208C22×C22⋊D43C2311yescharacteristic
209C22×C22⋊D43C2311yescharacteristic
210C22×C22⋊D43C2311yescharacteristic
211C22×C22⋊D43C2311yescharacteristic
212C23×Dic43C2311yescharacteristic
213C23×Dic43C2311yescharacteristic
214C22×C4×D43—24no—
215C22×C4×D43—42no—
216C22×C4×D43—42no—
217C22×C4×D43C2311yescharacteristic
218C22×C4×D43C2311yescharacteristic
219C22×C4×D43C2311yescharacteristic
220C22×C4×D43C2311yescharacteristic
221C22×C4×D43C2311yescharacteristic
222C22×C4×D43C2311yescharacteristic
223#13063321—42no—
224#13063320—24no—
225#13063318—24no—
226#13063311—24no—
227#13063311—24no—
228#13063311—42no—
229#13063310—24no—
230#13063310—42no—
231#13063310—42no—
232#13063308—24no—
233#13063305—24no—
234#13063304—42no—
235#13063303—24no—
236#13063303—24no—
237#13063299—24no—
238#13063298—24no—
239#13063298—24no—
240#13063298—24no—
241#13063296—24no—
242#13063296—42no—
243#13063295—24no—
244#13063295—24no—
245#13063295—42no—
246#13063295—42no—
247#13063293—24no—
248#13063293—24no—
249#13063293—42no—
250#13063293—42no—
251#13063293—42no—
252#13063293—42no—
253#13063287—24no—
254#13063287D418yescomplemented
255C4×C22⋊D43—24no—
256(C22⋊D43)⋊C4—24no—
257(C22⋊D43)⋊C4—24no—
258#13063281—24no—
259C2×C4⋊Dic43C2311yescharacteristic
260C2×C4⋊Dic43C2311yescharacteristic
261C2×C4⋊Dic43C2311yescharacteristic
262C2×C4⋊Dic43C2311yescharacteristic
263C2×C4⋊Dic43C2311yescharacteristic
264C2×C4⋊Dic43C2311yescharacteristic
265C2×Dic43⋊C4C2311yescharacteristic
266C2×Dic43⋊C4C2311yescharacteristic
267C2×Dic43⋊C4C2311yescharacteristic
268C2×Dic43⋊C4C2311yescharacteristic
269C2×Dic43⋊C4C2311yescharacteristic
270C2×Dic43⋊C4C2311yescharacteristic
271C2×Dic43⋊C4C2311yescharacteristic
272C2×Dic43⋊C4C2311yescharacteristic
273C2×Dic43⋊C4C2311yescharacteristic
274C2×Dic43⋊C4C2311yescharacteristic
275C2×C22⋊Dic43C2311yescharacteristic
276C2×C22⋊Dic43C2311yescharacteristic
277C2×C22⋊Dic43C2311yescharacteristic
278C2×C22⋊Dic43C2311yescharacteristic
279C2×C22⋊Dic43C2311yescharacteristic
280C2×C22⋊Dic43C2311yescharacteristic
281C2×C22⋊Dic43C2311yescharacteristic
282C2×C22⋊Dic43C2311yescharacteristic
283C2×C22⋊Dic43C2311yescharacteristic
284C2×C22⋊Dic43C2311yescharacteristic
285C2×C22⋊Dic43C2311yescharacteristic
286C2×C22⋊Dic43C2311yescharacteristic
287C2×C22⋊Dic43C2311yescharacteristic
288C2×C22⋊Dic43C2311yescharacteristic
289C2×C22⋊Dic43C2311yescharacteristic
290C2×C22⋊Dic43C2311yescharacteristic
291C2×(C2×D43)⋊C4C2311yescharacteristic
292C2×(C2×D43)⋊C4C2311yescharacteristic
293C2×(C2×D43)⋊C4C2311yescharacteristic
294C2×(C2×D43)⋊C4C2311yescharacteristic
295C2×(C2×D43)⋊C4C2311yescharacteristic
296C2×(C2×D43)⋊C4C2311yescharacteristic
297C2×(C2×D43)⋊C4C2311yescharacteristic
298C2×(C2×D43)⋊C4C2311yescharacteristic
299C2×(C2×D43)⋊C4C2311yescharacteristic
300C2×(C2×D43)⋊C4C2311yescharacteristic
301C2×(C2×D43)⋊C4C2311yescharacteristic
302C2×(C2×D43)⋊C4C2311yescharacteristic
303C2×(C2×D43)⋊C4C2311yescharacteristic
304C2×(C2×D43)⋊C4C2311yescharacteristic
305C2×(C2×D43)⋊C4C2311yescharacteristic
306C2×(C2×D43)⋊C4C2311yescharacteristic
307C2×(C2×D43)⋊C4C2311yescharacteristic
308C2×(C2×D43)⋊C4C2311yescharacteristic
309C2×(C2×D43)⋊C4C2311yescharacteristic
310C2×(C2×D43)⋊C4C2311yescharacteristic
311C2×(C2×D43)⋊C4C2311yescharacteristic
312C2×(C2×D43)⋊C4C2311yescharacteristic
313C2×(C2×D43)⋊C4C2311yescharacteristic
314C2×(C2×D43)⋊C4C2311yescharacteristic
315C2×(C2×D43)⋊C4C2311yescharacteristic
316C2×(C2×D43)⋊C4C2311yescharacteristic
317C2×(C2×D43)⋊C4C2311yescharacteristic
318C2×(C2×D43)⋊C4C2311yescharacteristic
319C2×(C2×D43)⋊C4C2311yescharacteristic
320C2×(C2×D43)⋊C4C2311yescharacteristic
321C22⋊C4×D43—24no—
322C2×C4×Dic43C2311yescharacteristic
323C2×C4×Dic43C2311yescharacteristic
324C2×C4×Dic43C2311yescharacteristic
325C2×C4×Dic43C2311yescharacteristic
326C2×C4×Dic43C2311yescharacteristic
327C2×C4×Dic43C2311yescharacteristic
328C43⋊#95C2311yescharacteristic
329C43⋊#95C2311yescharacteristic
330C43⋊#95C2311yescharacteristic
331C43⋊#95C2311yescharacteristic
332C43⋊#95C2311yescharacteristic
333C43⋊#95C2311yescharacteristic
334C43⋊#95C2311yescharacteristic
335C43⋊#95C2311yescharacteristic
336C43⋊#95C2311yescharacteristic
337C43⋊#95C2311yescharacteristic
338C43⋊#95C2311yescharacteristic
339C43⋊#95C2311yescharacteristic
340C43⋊#95C2311yescharacteristic
341C43⋊#95C2311yescharacteristic
342C43⋊#95C2311yescharacteristic
343C43⋊#95C2311yescharacteristic
344C43⋊#95C2311yescharacteristic
345C43⋊#95C2311yescharacteristic
346C43⋊#95C2311yescharacteristic
347C43⋊#95C2311yescharacteristic
348C43⋊#95C2311yescharacteristic
349C43⋊#95C2311yescharacteristic
350C43⋊#95C2311yescharacteristic
351C43⋊#95C2311yescharacteristic
352C22×D4×C43C2311yescharacteristic
353C22×D4×C43C2311yescharacteristic
354C22×D4×C43C2311yescharacteristic
355C22×D4×C43C2311yescharacteristic
356C22×D4×C43C2311yescharacteristic
357C22×D4×C43C2311yescharacteristic
358C23×C4×C43C2311yescharacteristic
359C23×C4×C43C2311yescharacteristic
360#123×C43—24no—
361#123×C43—24no—
362#121×C43—42no—
363#121×C43—42no—
364C2×C4⋊C4×C43C2311yescharacteristic
365C2×C4⋊C4×C43C2311yescharacteristic
366C2×C4⋊C4×C43C2311yescharacteristic
367C2×C4⋊C4×C43C2311yescharacteristic
368C2×C4⋊C4×C43C2311yescharacteristic
369C2×C4⋊C4×C43C2311yescharacteristic
370C2×C4⋊C4×C43C2311yescharacteristic
371C2×C4⋊C4×C43C2311yescharacteristic
372C2×C22⋊C4×C43C2311yescharacteristic
373C2×C22⋊C4×C43C2311yescharacteristic
374C2×C22⋊C4×C43C2311yescharacteristic
375C2×C22⋊C4×C43C2311yescharacteristic
376C2×C22⋊C4×C43C2311yescharacteristic
377C2×C22⋊C4×C43C2311yescharacteristic
378C2×C22⋊C4×C43C2311yescharacteristic
379C2×C22⋊C4×C43C2311yescharacteristic
380C2×C22⋊C4×C43C2311yescharacteristic
381C2×C22⋊C4×C43C2311yescharacteristic
382C2×C22⋊C4×C43C2311yescharacteristic
383C2×C22⋊C4×C43C2311yescharacteristic
384C2×C22⋊C4×C43C2311yescharacteristic
385C2×C22⋊C4×C43C2311yescharacteristic
386C2×C42×C43C2311yescharacteristic
387#95×C43C2311yescharacteristic
388#95×C43C2311yescharacteristic
389#95×C43C2311yescharacteristic
390#95×C43C2311yescharacteristic
391C24×C43C2411yescharacteristic
392C24×C43C2411yescharacteristic
393C24×C43C2411yescharacteristic
394C24×C43C2411yescharacteristic
395C23×D43—22no—
396C23×D43—22no—
397C23×D43—22no—
398C23×D43—22no—
399C23×D43—41no—
400C23×D43—41no—
401C23×D43—41no—
402C23×D43—41no—
403C23×D43—41no—
404C23×D43—41no—
405C23×D43—41no—
406C23×D43—41no—
407C23×D43—41no—
408C23×D43—41no—
409C23×D43C2411yescharacteristic
410C23×D43C2411yescharacteristic
411C23×D43C2411yescharacteristic
412C23×D43C2411yescharacteristic
413C2×D4×C43—22no—
414C2×D4×C43—22no—
415C2×D4×C43—22no—
416C2×D4×C43—22no—
417C2×D4×C43—22no—
418C2×D4×C43—41no—
419C2×D4×C43—41no—
420C2×D4×C43—41no—
421C2×D4×C43—41no—
422C2×D4×C43—41no—
423C2×D4×C43—41no—
424C2×D4×C43—41no—
425C2×D4×C43—41no—
426C2×D4×C43—41no—
427C2×D4×C43—41no—
428C2×D4×C43—41no—
429C2×D4×C43—41no—
430C2×D4×C43—41no—
431C22×C4×C43—22no—
432C22×C4×C43—22no—
433C22×C4×C43—22no—
434C22×C4×C43—41no—
435C22×C4×C43—41no—
436C22×C4×C43—41no—
437C22×C4×C43C2411yescharacteristic
438C22×C4×C43C2411yescharacteristic
439C22×C4×C43C2411yescharacteristic
440C22×C4×C43C2411yescharacteristic
441C22×C4×C43C2411yescharacteristic
442C22×C4×C43C2411yescharacteristic
443C22×C4×C43C2411yescharacteristic
444C22×C4×C43C2411yescharacteristic
445C22×C4×C43C2411yescharacteristic
446C22×C4×C43C2411yescharacteristic
447C22×C4×C43C2411yescharacteristic
448C2×C22⋊D43—22no—
449C2×C22⋊D43—22no—
450C2×C22⋊D43—22no—
451C2×C22⋊D43—22no—
452C2×C22⋊D43—22no—
453C2×C22⋊D43—22no—
454C2×C22⋊D43—22no—
455C2×C22⋊D43—22no—
456C2×C22⋊D43—22no—
457C2×C22⋊D43—22no—
458C2×C22⋊D43—22no—
459C2×C22⋊D43—22no—
460C2×C22⋊D43—22no—
461C2×C22⋊D43—22no—
462C2×C22⋊D43—41no—
463C2×C22⋊D43—41no—
464C2×C22⋊D43—41no—
465C2×C22⋊D43—41no—
466C2×C22⋊D43—41no—
467C2×C22⋊D43—41no—
468C2×C22⋊D43—41no—
469C2×C22⋊D43—41no—
470C2×C22⋊D43—41no—
471C2×C22⋊D43—41no—
472C2×C22⋊D43—41no—
473C2×C22⋊D43—41no—
474C2×C22⋊D43—41no—
475C2×C22⋊D43—41no—
476C2×C22⋊D43—41no—
477C2×C22⋊D43—41no—
478C2×C22⋊D43—41no—
479C2×C22⋊D43—41no—
480C2×C22⋊D43—41no—
481C2×C22⋊D43—41no—
482C2×C22⋊D43—41no—
483C2×C22⋊D43—41no—
484C22×Dic43—22no—
485C22×Dic43—22no—
486C22×Dic43—22no—
487C22×Dic43—22no—
488C22×Dic43—41no—
489C22×Dic43—41no—
490C22×Dic43C2411yescharacteristic
491C22×Dic43C2411yescharacteristic
492C22×Dic43C2411yescharacteristic
493C22×Dic43C2411yescharacteristic
494C22×Dic43C2411yescharacteristic
495C22×Dic43C2411yescharacteristic
496C22×Dic43C2411yescharacteristic
497C22×Dic43C2411yescharacteristic
498C22×Dic43C2411yescharacteristic
499C22×Dic43C2411yescharacteristic
500C22×Dic43C2411yescharacteristic
501C22×Dic43C2411yescharacteristic
502#10621900—416no—
503C2×D172—22no—
504C2×D172—22no—
505C2×D172—22no—
506C2×D172—22no—
507C2×D172—41no—
508C2×D172—41no—
509C2×D172—41no—
510C2×D172—41no—
511C2×D172—41no—
512C2×D172—41no—
513C2×D172—41no—
514C2×D172C2×D414yes—
515C2×C4×D43—22no—
516C2×C4×D43—22no—
517C2×C4×D43—22no—
518C2×C4×D43—22no—
519C2×C4×D43—22no—
520C2×C4×D43—22no—
521C2×C4×D43—41no—
522C2×C4×D43—41no—
523C2×C4×D43—41no—
524C2×C4×D43—41no—
525C2×C4×D43—41no—
526C2×C4×D43—41no—
527C2×C4×D43—41no—
528C2×C4×D43—41no—
529C2×C4×D43—41no—
530C2×C4×D43—41no—
531C2×C4×D43—416no—
532C2×C4×D43C2×D414yes—
533C2×C4×D43C2×D414yes—
534C2×Dic86—22no—
535C2×Dic86—22no—
536C2×Dic86—22no—
537C2×Dic86—41no—
538C2×Dic86—41no—
539C2×Dic86—41no—
540C4⋊C4×C43—22no—
541C4⋊C4×C43—22no—
542C4⋊C4×C43—41no—
543C4⋊C4×C43—41no—
544C4⋊C4×C43—41no—
545C4⋊C4×C43—41no—
546C4⋊C4×C43—41no—
547C4⋊C4×C43C2×D414yes—
548C22⋊C4×C43—22no—
549C22⋊C4×C43—22no—
550C22⋊C4×C43—22no—
551C22⋊C4×C43—22no—
552C22⋊C4×C43—22no—
553C22⋊C4×C43—22no—
554C22⋊C4×C43—22no—
555C22⋊C4×C43—41no—
556C22⋊C4×C43—41no—
557C22⋊C4×C43—41no—
558C22⋊C4×C43—41no—
559C22⋊C4×C43—41no—
560C22⋊C4×C43—41no—
561C22⋊C4×C43—41no—
562C42×C43—41no—
563C22⋊Dic43—22no—
564C22⋊Dic43—22no—
565C22⋊Dic43—22no—
566C22⋊Dic43—22no—
567C22⋊Dic43—22no—
568C22⋊Dic43—22no—
569C22⋊Dic43—41no—
570C22⋊Dic43—41no—
571C22⋊Dic43—41no—
572C22⋊Dic43—41no—
573C22⋊Dic43—41no—
574C22⋊Dic43—41no—
575C22⋊Dic43—41no—
576C22⋊Dic43—41no—
577C22⋊Dic43—41no—
578C22⋊Dic43—41no—
579(C2×D43)⋊C4—22no—
580(C2×D43)⋊C4—22no—
581(C2×D43)⋊C4—22no—
582(C2×D43)⋊C4—22no—
583(C2×D43)⋊C4—22no—
584(C2×D43)⋊C4—22no—
585(C2×D43)⋊C4—22no—
586(C2×D43)⋊C4—22no—
587(C2×D43)⋊C4—22no—
588(C2×D43)⋊C4—22no—
589(C2×D43)⋊C4—22no—
590(C2×D43)⋊C4—22no—
591(C2×D43)⋊C4—22no—
592(C2×D43)⋊C4—22no—
593(C2×D43)⋊C4—41no—
594(C2×D43)⋊C4—41no—
595(C2×D43)⋊C4—41no—
596(C2×D43)⋊C4—41no—
597(C2×D43)⋊C4—41no—
598(C2×D43)⋊C4—41no—
599(C2×D43)⋊C4—41no—
600(C2×D43)⋊C4—41no—
601(C2×D43)⋊C4—41no—
602(C2×D43)⋊C4—41no—
603(C2×D43)⋊C4—41no—
604(C2×D43)⋊C4—41no—
605(C2×D43)⋊C4—41no—
606(C2×D43)⋊C4—41no—
607(C2×D43)⋊C4C2×D414yes—
608(C2×D43)⋊C4C2×D414yes—
609C4⋊Dic43—22no—
610C4⋊Dic43—22no—
611C4⋊Dic43—41no—
612C4⋊Dic43—41no—
613C4⋊Dic43—41no—
614C4⋊Dic43—41no—
615Dic43⋊C4—22no—
616Dic43⋊C4—22no—
617Dic43⋊C4—22no—
618Dic43⋊C4—22no—
619Dic43⋊C4—22no—
620Dic43⋊C4—22no—
621Dic43⋊C4—22no—
622Dic43⋊C4—41no—
623Dic43⋊C4—41no—
624Dic43⋊C4—41no—
625C4×Dic43—22no—
626C4×Dic43—22no—
627C4×Dic43—41no—
628C4×Dic43—41no—
629C4×Dic43—41no—
630C4×Dic43C2×D414yes—
631C23×C43—21no—
632C23×C43—21no—
633C23×C43—21no—
634C23×C43—21no—
635C23×C43—21no—
636C23×C43—21no—
637C23×C43—21no—
638C23×C43—21no—
639C23×C43—21no—
640C23×C43—21no—
641C23×C43—21no—
642C23×C43—21no—
643C23×C43—21no—
644C23×C43—21no—
645C23×C43—21no—
646C23×C43—21no—
647C23×C43—21no—
648C23×C43—21no—
649C23×C43—21no—
650C23×C43—21no—
651C23×C43—21no—
652C23×C43—21no—
653C23×C43—21no—
654C23×C43—21no—
655C23×C43—21no—
656C23×C43—21no—
657C23×C43—21no—
658C23×C43H(5,𝔽2)12yes—
659C23×C43C2511yescharacteristic
660C22×D43—21no—
661C22×D43—21no—
662C22×D43—21no—
663C22×D43—21no—
664C22×D43—21no—
665C22×D43—21no—
666C22×D43—21no—
667C22×D43—21no—
668C22×D43—21no—
669C22×D43—21no—
670C22×D43—21no—
671C22×D43—21no—
672C22×D43—21no—
673C22×D43—21no—
674C22×D43—21no—
675C22×D43—21no—
676C22×D43—21no—
677C22×D43—21no—
678C22×D43—21no—
679C22×D43—21no—
680C22×D43—21no—
681C22×D43—21no—
682C22×D43—21no—
683C22×D43—21no—
684C22×D43—21no—
685C22×D43—44no—
686C22×D43—44no—
687C22×D43—44no—
688C22×D43—44no—
689C22×D43—44no—
690C22×D43—44no—
691C22×D43—44no—
692C22×D43—44no—
693C22×D43—82no—
694C22×D43—82no—
695C22×D43—82no—
696C22×D43—82no—
697C22×D43—82no—
698C22×D43—82no—
699C22×D43C22×D412yes—
700C22×D43C22×D412yes—
701C22×D43H(5,𝔽2)12yes—
702D4×C43—44no—
703D4×C43—82no—
704D4×C43—82no—
705D4×C43—82no—
706D4×C43—82no—
707D4×C43—82no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
723C2×C4×C43—21no—
724C2×C4×C43—21no—
725C2×C4×C43—21no—
726C2×C4×C43—21no—
727C2×C4×C43—21no—
728C2×C4×C43—21no—
729C2×C4×C43—21no—
730C2×C4×C43—21no—
731C2×C4×C43—21no—
732C2×C4×C43—21no—
733C2×C4×C43—21no—
734C2×C4×C43—21no—
735C2×C4×C43—21no—
736C2×C4×C43—21no—
737C2×C4×C43—21no—
738C2×C4×C43—44no—
739C2×C4×C43—82no—
740C2×C4×C43C22×D412yes—
741C2×C4×C43C22×D412yes—
742C2×C4×C43C22×D412yes—
743C22⋊D43—44no—
744C22⋊D43—44no—
745C22⋊D43—44no—
746C22⋊D43—44no—
747C22⋊D43—44no—
748C22⋊D43—82no—
749C22⋊D43—82no—
750C22⋊D43—82no—
751C22⋊D43—82no—
752C22⋊D43—82no—
753C22⋊D43—82no—
754C22⋊D43—82no—
755C2×Dic43—28no—
756C2×Dic43—21no—
757C2×Dic43—21no—
758C2×Dic43—21no—
759C2×Dic43—21no—
760C2×Dic43—21no—
761C2×Dic43—21no—
762C2×Dic43—21no—
763C2×Dic43—21no—
764C2×Dic43—21no—
765C2×Dic43—21no—
766C2×Dic43—21no—
767C2×Dic43—21no—
768C2×Dic43—21no—
769C2×Dic43—21no—
770C2×Dic43—21no—
771C2×Dic43—21no—
772C2×Dic43—21no—
773C2×Dic43—21no—
774C2×Dic43—21no—
775C2×Dic43—21no—
776C2×Dic43—21no—
777C2×Dic43—21no—
778C2×Dic43—21no—
779C2×Dic43—21no—
780C2×Dic43—21no—
781C2×Dic43—21no—
782C2×Dic43—21no—
783C2×Dic43—21no—
784C2×Dic43—21no—
785C2×Dic43—21no—
786C2×Dic43—21no—
787C2×Dic43—21no—
788C2×Dic43—21no—
789C2×Dic43—44no—
790C2×Dic43C22×D412yes—
791C2×Dic43C22×D412yes—
792C2×Dic43H(5,𝔽2)12yes—
793D172—44no—
794D172—44no—
795D172—82no—
796D172—82no—
797C4×D43—44no—
798C4×D43—44no—
799C4×D43—44no—
800C4×D43—44no—
801C4×D43—44no—
802C4×D43—82no—
803Dic86—44no—
804Dic86—82no—
805#36724—431nomaximal, Sylow
806C22×C43—22no—
807C22×C43—22no—
808C22×C43—22no—
809C22×C43—41no—
810C22×C43—41no—
811C22×C43—41no—
812C22×C43—41no—
813C22×C43—41no—
814C22×C43—41no—
815C22×C43—41no—
816C22×C43—41no—
817C22×C43—41no—
818C22×C43—41no—
819C22×C43—41no—
820C22×C43—41no—
821C22×C43—41no—
822C22×C43—41no—
823C22×C43—41no—
824C22×C43—41no—
825C22×C43—41no—
826C22×C43—41no—
827C22×C43—41no—
828C22×C43—41no—
829C22×C43—41no—
830C22×C43—41no—
831C22×C43—41no—
832C22×C43—41no—
833C22×C43—41no—
834C22×C43C23×D411yescharacteristic
835C22×C43C2×H(5,𝔽2)11yescharacteristic
836C22×C43C2×H(5,𝔽2)11yescharacteristic
837C22×C43C2×H(5,𝔽2)11yescharacteristic
838C22×C43#58511yescharacteristic
839C22×C43#58511yescharacteristic
840C22×C43#58511yescharacteristic
841C2×D43—22no—
842C2×D43—22no—
843C2×D43—22no—
844C2×D43—22no—
845C2×D43—22no—
846C2×D43—22no—
847C2×D43—22no—
848C2×D43—22no—
849C2×D43—22no—
850C2×D43—416no—
851C2×D43—41no—
852C2×D43—41no—
853C2×D43—41no—
854C2×D43—41no—
855C2×D43—41no—
856C2×D43—41no—
857C2×D43—41no—
858C2×D43—41no—
859C2×D43—41no—
860C2×D43—41no—
861C2×D43—41no—
862C2×D43—41no—
863C2×D43—41no—
864C2×D43—41no—
865C2×D43—41no—
866C2×D43—41no—
867C2×D43—41no—
868C2×D43—41no—
869C2×D43—41no—
870C2×D43—88no—
871C4×C43—22no—
872C4×C43—22no—
873C4×C43—22no—
874C4×C43—41no—
875C4×C43—41no—
876C4×C43—41no—
877C4×C43—41no—
878C4×C43—41no—
879C4×C43—41no—
880C4×C43—41no—
881C4×C43—41no—
882Dic43—22no—
883Dic43—22no—
884Dic43—22no—
885Dic43—41no—
886Dic43—41no—
887Dic43—41no—
888Dic43—41no—
889Dic43—41no—
890Dic43—41no—
891Dic43—41no—
892Dic43—41no—
893Dic43—41no—
894C2×#538—431no—
895C2×#525—431no—
896#2849—431no—
897#2847—431no—
898#2705—431no—
899#2702—431no—
900#2700—431no—
901#2699—431no—
902#2687—431no—
903#2682D4311yescharacteristic, complemented
904#2681—431no—
905#2681—431no—
906#2679—431no—
907#2678—431no—
908#2678—431no—
909#2678—431no—
910#2672—431no—
911#2670—431no—
912#2669—431no—
913#2669—431no—
914#2635—431no—
915#2630—431no—
916#2610—431no—
917#2603—431no—
918#2601—431no—
919#2600—431no—
920#2544—431no—
921#2534—431no—
922#2407—431no—
923#2404—431no—
924#2319—431no—
925C2×C43—42no—
926C2×C43—81no—
927C2×C43—81no—
928C2×C43—81no—
929C2×C43#344911yescharacteristic
930C2×C43#348411yescharacteristic
931C2×C43#348811yescharacteristic
932C2×C43#353311yescharacteristic
933C2×C43#353411yescharacteristic
934C2×C43#354011yescharacteristic
935C2×C43#354211yescharacteristic
936D43—42no—
937D43—42no—
938D43—42no—
939D43—81no—
940C22×#41—431no—
941C24×C4—431no—
942#538—868no—
943C2×#127—431no—
944C2×#126—431no—
945C2×#126—431no—
946C2×#124—431no—
947C2×#124—431no—
948C2×#124—431no—
949#525—868no—
950C2×#123—431no—
951C2×#123—431no—
952C2×#123—431no—
953C2×#123—431no—
954C2×#123C2×D4311yescharacteristic, complemented
955C2×#123C2×D4311yescharacteristic, complemented
956C2×C22⋊Q8—431no—
957C2×C22⋊Q8—431no—
958C2×C22⋊Q8—431no—
959C2×C22⋊Q8—431no—
960C2×#121—431no—
961C2×#121—431no—
962C2×#121—431no—
963C2×#121—431no—
964C2×#121—431no—
965C2×#121—431no—
966C2×#121C2×D4311yescharacteristic
967C2×#121C2×D4311yescharacteristic, complemented
968C2×#120—431no—
969C2×#120—431no—
970C2×#120—431no—
971C2×#120—431no—
972C2×#120—431no—
973C2×#120—431no—
974C2×#120—431no—
975C2×#120—431no—
976C2×#120—431no—
977C2×#120—431no—
978C2×C4×D4—431no—
979C2×C4×D4—431no—
980C2×C4×D4—431no—
981C2×C4×D4—431no—
982C2×C4×D4—431no—
983C2×#117—431no—
984C22×C22⋊C4—431no—
985#400—431no—
986#399—431no—
987#398—431no—
988#398—431no—
989#398—431no—
990#397—431no—
991#397—431no—
992#397—431no—
993#396—431no—
994#396—431no—
995#396—431no—
996#396—431no—
997#396C2×D4311yescharacteristic, complemented
998#396C2×D4311yescharacteristic, complemented
999#395—431no—
1000#394—431no—
1001#394—431no—
1002#394—431no—
1003#394—431no—
1004#394—431no—
1005#394—431no—
1006#394—431no—
1007#394—431no—
1008#394—431no—
1009#394—431no—
1010#394—431no—
1011#394—431no—
1012#394—431no—
1013#394—431no—
1014#394—431no—
1015#394—431no—
1016#394—431no—
1017#394C2×D4311yescharacteristic
1018#394C2×D4311yescharacteristic, complemented
1019#393—431no—
1020#393—431no—
1021#393—431no—
1022#392—431no—
1023#392—431no—
1024#392—431no—
1025#392—431no—
1026#392—431no—
1027#392—431no—
1028#392—431no—
1029#392—431no—
1030#392—431no—
1031#392C2×D4311yescharacteristic
1032#392C2×D4311yescharacteristic, complemented
1033#391—431no—
1034#391—431no—
1035#390—431no—
1036#390—431no—
1037#390—431no—
1038#390—431no—
1039#390—431no—
1040#390—431no—
1041#390—431no—
1042#390C2×D4311yescharacteristic, complemented
1043#390C2×D4311yescharacteristic, complemented
1044#389—431no—
1045#389—431no—
1046#389C2×D4311yescharacteristic, complemented
1047#388—431no—
1048#388—431no—
1049#388—431no—
1050#388—431no—
1051#388—431no—
1052#388—431no—
1053#388—431no—
1054#388—431no—
1055#388—431no—
1056#388—431no—
1057#388—431no—
1058#388—431no—
1059#388—431no—
1060#388—431no—
1061#387—431no—
1062#387—431no—
1063#386—431no—
1064#386—431no—
1065#386—431no—
1066#386—431no—
1067#386—431no—
1068#386—431no—
1069#386—431no—
1070#386—431no—
1071#386—431no—
1072#386—431no—
1073#386—431no—
1074#386—431no—
1075#386—431no—
1076#386—431no—
1077#386—431no—
1078#386—431no—
1079#385—431no—
1080#385—431no—
1081#385—431no—
1082#385—431no—
1083#385C2×D4311yescharacteristic, complemented
1084#385C2×D4311yescharacteristic, complemented
1085#381—431no—
1086#381—431no—
1087#381—431no—
1088#381—431no—
1089#380—431no—
1090#380—431no—
1091#380—431no—
1092#380—431no—
1093#379—431no—
1094#379—431no—
1095C4×C4⋊C4—431no—
1096#376—431no—
1097C43#3672411yescharacteristic, complemented, Sylow
1098C25—431no—
1099C25—431no—
1100C2×#41—864no—
1101C2×#41—1722no—
1102C2×#41—1722no—
1103C22×Q8—431no—
1104C22×Q8—431no—
1105C22×D4—431no—
1106C22×D4—431no—
1107C22×D4—431no—
1108C22×D4—431no—
1109C22×D4—431no—
1110C22×D4—431no—
1111C22×D4—431no—
1112C22×D4—431no—
1113C22×D4—431no—
1114C22×D4—431no—
1115C22×D4—431no—
1116C22×D4—431no—
1117C22×D4—431no—
1118C22×D4—431no—
1119C22×D4—431no—
1120C22×D4—431no—
1121C22×D4C22×D4311yescharacteristic
1122C22×D4C22×D4311yescharacteristic
1123C22×D4C22×D4311yescharacteristic
1124C22×D4C22×D4311yescharacteristic
1125C22×D4C22×D4311yescharacteristic
1126C22×D4C22×D4311yescharacteristic
1127C23×C4—431no—
1128C23×C4—431no—
1129C23×C4—431no—
1130C23×C4—431no—
1131C23×C4—431no—
1132C23×C4—431no—
1133C23×C4—431no—
1134C23×C4—431no—
1135C23×C4—864no—
1136C23×C4—1722no—
1137C23×C4—1722no—
1138C23×C4C22×D4311yescharacteristic
1139C23×C4C22×D4311yescharacteristic
1140#127—1722no—
1141#126—864no—
1142#126—864no—
1143#124—864no—
1144#124—864no—
1145#124—1722no—
1146#123—24no—
1147#123—24no—
1148#123—864no—
1149#123—864no—
1150#123—1722no—
1151#123—1722no—
1152C22⋊Q8—864no—
1153C22⋊Q8—864no—
1154C22⋊Q8—864no—
1155C22⋊Q8—1722no—
1156#121—42no—
1157#121—42no—
1158#121—864no—
1159#121—864no—
1160#121—864no—
1161#121—864no—
1162#121—864no—
1163#121—1722no—
1164#120—864no—
1165#120—864no—
1166#120—864no—
1167#120—864no—
1168#120—1722no—
1169#120—1722no—
1170#120—1722no—
1171#120—1722no—
1172#120—1722no—
1173#120—1722no—
1174C4×D4—438no—
1175C4×D4—864no—
1176C4×D4—864no—
1177C4×D4—864no—
1178C4×D4—864no—
1179#117—864no—
1180C2×C4⋊C4—431no—
1181C2×C4⋊C4—431no—
1182C2×C4⋊C4—431no—
1183C2×C4⋊C4—431no—
1184C2×C4⋊C4—431no—
1185C2×C4⋊C4—431no—
1186C2×C4⋊C4—431no—
1187C2×C4⋊C4—431no—
1188C2×C4⋊C4—431no—
1189C2×C4⋊C4—431no—
1190C2×C4⋊C4—431no—
1191C2×C4⋊C4—431no—
1192C2×C4⋊C4—431no—
1193C2×C4⋊C4—431no—
1194C2×C4⋊C4—431no—
1195C2×C4⋊C4—431no—
1196C2×C4⋊C4C22×D4311yescharacteristic
1197C2×C4⋊C4C22×D4311yescharacteristic
1198C2×C4⋊C4C22×D4311yescharacteristic
1199C2×C4⋊C4C22×D4311yescharacteristic
1200C2×C4⋊C4C22×D4311yescharacteristic
1201C2×C4⋊C4C22×D4311yescharacteristic
1202C2×C4⋊C4C22×D4311yescharacteristic
1203C2×C4⋊C4C22×D4311yescharacteristic
1204C2×C22⋊C4—431no—
1205C2×C22⋊C4—431no—
1206C2×C22⋊C4—431no—
1207C2×C22⋊C4—431no—
1208C2×C22⋊C4—431no—
1209C2×C22⋊C4—431no—
1210C2×C22⋊C4—431no—
1211C2×C22⋊C4—431no—
1212C2×C22⋊C4—431no—
1213C2×C22⋊C4—431no—
1214C2×C22⋊C4—431no—
1215C2×C22⋊C4—431no—
1216C2×C22⋊C4—431no—
1217C2×C22⋊C4—431no—
1218C2×C22⋊C4—431no—
1219C2×C22⋊C4—431no—
1220C2×C22⋊C4—431no—
1221C2×C22⋊C4—431no—
1222C2×C22⋊C4—431no—
1223C2×C22⋊C4—431no—
1224C2×C22⋊C4—431no—
1225C2×C22⋊C4—431no—
1226C2×C22⋊C4—431no—
1227C2×C22⋊C4—431no—
1228C2×C22⋊C4—431no—
1229C2×C22⋊C4—431no—
1230C2×C22⋊C4—431no—
1231C2×C22⋊C4—431no—
1232C2×C22⋊C4—431no—
1233C2×C22⋊C4—431no—
1234C2×C22⋊C4—431no—
1235C2×C22⋊C4—431no—
1236C2×C22⋊C4—431no—
1237C2×C22⋊C4—431no—
1238C2×C22⋊C4—431no—
1239C2×C22⋊C4—431no—
1240C2×C22⋊C4—431no—
1241C2×C22⋊C4—431no—
1242C2×C22⋊C4—431no—
1243C2×C22⋊C4—431no—
1244C2×C22⋊C4—431no—
1245C2×C22⋊C4—431no—
1246C2×C22⋊C4—431no—
1247C2×C22⋊C4—431no—
1248C2×C22⋊C4—431no—
1249C2×C22⋊C4—431no—
1250C2×C22⋊C4—864no—
1251C2×C22⋊C4C22×D4311yescharacteristic
1252C2×C22⋊C4C22×D4311yescharacteristic
1253C2×C22⋊C4C22×D4311yescharacteristic
1254C2×C22⋊C4C22×D4311yescharacteristic
1255C2×C22⋊C4C22×D4311yescharacteristic
1256C2×C22⋊C4C22×D4311yescharacteristic
1257C2×C22⋊C4C22×D4311yescharacteristic
1258C2×C22⋊C4C22×D4311yescharacteristic
1259C2×C22⋊C4C22×D4311yescharacteristic
1260C2×C22⋊C4C22×D4311yescharacteristic
1261C2×C22⋊C4C22×D4311yescharacteristic
1262C2×C22⋊C4C22×D4311yescharacteristic
1263C2×C22⋊C4C22×D4311yescharacteristic
1264C2×C22⋊C4C22×D4311yescharacteristic
1265C2×C42—431no—
1266C2×C42—431no—
1267C2×C42—431no—
1268C2×C42—431no—
1269C2×C42—431no—
1270C2×C42—431no—
1271C2×C42C22×D4311yescharacteristic
1272#95—431no—
1273#95—431no—
1274#95—431no—
1275#95—431no—
1276#95—431no—
1277#95—431no—
1278#95—431no—
1279#95—431no—
1280#95—431no—
1281#95—431no—
1282#95—431no—
1283#95—431no—
1284#95—431no—
1285#95—431no—
1286#95—431no—
1287#95—431no—
1288#95—431no—
1289#95—431no—
1290#95—431no—
1291#95—431no—
1292#95—431no—
1293#95—431no—
1294#95—431no—
1295#95—431no—
1296#95C22×D4311yescharacteristic
1297#95C22×D4311yescharacteristic
1298#95C22×D4311yescharacteristic
1299#95C22×D4311yescharacteristic
1300C24—431no—
1301C24—431no—
1302C24—431no—
1303C24—431no—
1304C24—862no—
1305C24—862no—
1306C24—862no—
1307C24—862no—
1308C24—1721no—
1309C24—1721no—
1310C24—1721no—
1311C24—1721no—
1312C24—1721no—
1313C24—1721no—
1314C24—1721no—
1315C24—1721no—
1316C24—1721no—
1317C24—1721no—
1318C24C23×D4311yescharacteristic
1319C24C23×D4311yescharacteristic
1320C24C23×D4311yescharacteristic
1321C24C23×D4311yescharacteristic
1322#41—17216no—
1323C2×Q8—862no—
1324C2×Q8—862no—
1325C2×Q8—862no—
1326C2×Q8—1721no—
1327C2×Q8—1721no—
1328C2×Q8—1721no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—41no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4—41no—
1347C2×D4—434no—
1348C2×D4—862no—
1349C2×D4—862no—
1350C2×D4—862no—
1351C2×D4—862no—
1352C2×D4—862no—
1353C2×D4—862no—
1354C2×D4—862no—
1355C2×D4—862no—
1356C2×D4—862no—
1357C2×D4—862no—
1358C2×D4—862no—
1359C2×D4—862no—
1360C2×D4—862no—
1361C2×D4—862no—
1362C2×D4—862no—
1363C2×D4—862no—
1364C2×D4—862no—
1365C2×D4—862no—
1366C2×D4—1721no—
1367C2×D4—1721no—
1368C2×D4—1721no—
1369C2×D4—1721no—
1370C2×D4—1721no—
1371C2×D4—1721no—
1372C2×D4—1721no—
1373C2×D4—1721no—
1374C2×D4—1721no—
1375C2×D4—1721no—
1376C2×D4—1721no—
1377C2×D4—1721no—
1378C2×D4—1721no—
1379C2×D4—1721no—
1380C2×D4—1721no—
1381C2×D4—1721no—
1382C2×D4—1721no—
1383C2×D4—1721no—
1384C2×D4—1721no—
1385C2×D4—1721no—
1386C2×D4—1721no—
1387C2×D4—1721no—
1388C2×D4—1721no—
1389C2×D4—1721no—
1390C2×D4—1721no—
1391C2×D4—1721no—
1392C2×D4—1721no—
1393C2×D4—1721no—
1394C2×D4—1721no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—41no—
1399C22×C4—41no—
1400C22×C4—41no—
1401C22×C4—431no—
1402C22×C4—431no—
1403C22×C4—431no—
1404C22×C4—434no—
1405C22×C4—434no—
1406C22×C4—431no—
1407C22×C4—431no—
1408C22×C4—431no—
1409C22×C4—431no—
1410C22×C4—431no—
1411C22×C4—431no—
1412C22×C4—431no—
1413C22×C4—431no—
1414C22×C4—431no—
1415C22×C4—862no—
1416C22×C4—862no—
1417C22×C4—862no—
1418C22×C4—862no—
1419C22×C4—862no—
1420C22×C4—862no—
1421C22×C4—862no—
1422C22×C4—862no—
1423C22×C4—862no—
1424C22×C4—862no—
1425C22×C4—1721no—
1426C22×C4—1721no—
1427C22×C4—1721no—
1428C22×C4—1721no—
1429C22×C4—1721no—
1430C22×C4—1721no—
1431C22×C4—1721no—
1432C22×C4—1721no—
1433C22×C4—1721no—
1434C22×C4—1721no—
1435C22×C4—17216no—
1436C22×C4—1721no—
1437C22×C4—1721no—
1438C22×C4C23×D4311yescharacteristic
1439C22×C4C23×D4311yescharacteristic
1440C22×C4C23×D4311yescharacteristic
1441C22×C4C23×D4311yescharacteristic
1442C22×C4C23×D4311yescharacteristic
1443C22×C4C23×D4311yescharacteristic
1444C22×C4C23×D4311yescharacteristic
1445C22×C4C23×D4311yescharacteristic
1446C22×C4C23×D4311yescharacteristic
1447C22×C4C23×D4311yescharacteristic
1448C22×C4C23×D4311yescharacteristic
1449C4⋊C4—22no—
1450C4⋊C4—22no—
1451C4⋊C4—41no—
1452C4⋊C4—41no—
1453C4⋊C4—41no—
1454C4⋊C4—41no—
1455C4⋊C4—41no—
1456C4⋊C4—862no—
1457C4⋊C4—862no—
1458C4⋊C4—862no—
1459C4⋊C4—862no—
1460C4⋊C4—862no—
1461C4⋊C4—862no—
1462C4⋊C4—862no—
1463C4⋊C4—862no—
1464C4⋊C4—862no—
1465C4⋊C4—1721no—
1466C4⋊C4—1721no—
1467C4⋊C4—1721no—
1468C4⋊C4—1721no—
1469C4⋊C4—1721no—
1470C4⋊C4—1721no—
1471C4⋊C4—1721no—
1472C4⋊C4D4×D4314yes—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—22no—
1477C22⋊C4—22no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—41no—
1481C22⋊C4—41no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—41no—
1486C22⋊C4—41no—
1487C22⋊C4—434no—
1488C22⋊C4—434no—
1489C22⋊C4—862no—
1490C22⋊C4—862no—
1491C22⋊C4—862no—
1492C22⋊C4—862no—
1493C22⋊C4—862no—
1494C22⋊C4—862no—
1495C22⋊C4—862no—
1496C22⋊C4—862no—
1497C22⋊C4—862no—
1498C22⋊C4—862no—
1499C22⋊C4—862no—
1500C22⋊C4—862no—
1501C22⋊C4—862no—
1502C22⋊C4—862no—
1503C22⋊C4—862no—
1504C22⋊C4—862no—
1505C22⋊C4—862no—
1506C22⋊C4—862no—
1507C22⋊C4—862no—
1508C22⋊C4—862no—
1509C22⋊C4—1721no—
1510C22⋊C4—1721no—
1511C22⋊C4—1721no—
1512C22⋊C4—1721no—
1513C22⋊C4—1721no—
1514C22⋊C4—1721no—
1515C22⋊C4—1721no—
1516C22⋊C4—1721no—
1517C22⋊C4—1721no—
1518C22⋊C4—1721no—
1519C22⋊C4—1721no—
1520C22⋊C4—1721no—
1521C22⋊C4—1721no—
1522C22⋊C4—1721no—
1523C22⋊C4—1721no—
1524C22⋊C4—1721no—
1525C22⋊C4—1721no—
1526C22⋊C4—1721no—
1527C22⋊C4—1721no—
1528C22⋊C4—1721no—
1529C22⋊C4—1721no—
1530C22⋊C4—1721no—
1531C22⋊C4—1721no—
1532C22⋊C4—1721no—
1533C42—41no—
1534C42—434no—
1535C42—862no—
1536C42—862no—
1537C42—1721no—
1538C42—1721no—
1539C42—1721no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—432no—
1568C23—432no—
1569C23—432no—
1570C23—861no—
1571C23—861no—
1572C23—861no—
1573C23—861no—
1574C23—861no—
1575C23—861no—
1576C23—861no—
1577C23—861no—
1578C23—861no—
1579C23—861no—
1580C23—861no—
1581C23—861no—
1582C23—861no—
1583C23—861no—
1584C23—861no—
1585C23—861no—
1586C23—861no—
1587C23—861no—
1588C23—861no—
1589C23—861no—
1590C23—861no—
1591C23—861no—
1592C23—861no—
1593C23—861no—
1594C23—861no—
1595C23—3442no—
1596C23—3442no—
1597C23—3442no—
1598C23—3442no—
1599C23—3442no—
1600C23—3442no—
1601C23—1724no—
1602C23—1724no—
1603C23—1724no—
1604C23—1724no—
1605C23—1724no—
1606C23—1724no—
1607C23—1724no—
1608C23—1724no—
1609C23#1306337012yes—
1610C23C24×D4311yescharacteristic
1611Q8—3442no—
1612Q8—1724no—
1613D4—44no—
1614D4—82no—
1615D4—82no—
1616D4—82no—
1617D4—82no—
1618D4—82no—
1619D4—3442no—
1620D4—3442no—
1621D4—3442no—
1622D4—3442no—
1623D4—3442no—
1624D4—3442no—
1625D4—3442no—
1626D4—3442no—
1627D4—3442no—
1628D4—1724no—
1629D4—1724no—
1630D4—1724no—
1631D4—1724no—
1632D4—1724no—
1633D4—1724no—
1634D4—1724no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—44no—
1666C2×C4—82no—
1667C2×C4—432no—
1668C2×C4—432no—
1669C2×C4—432no—
1670C2×C4—868no—
1671C2×C4—861no—
1672C2×C4—861no—
1673C2×C4—861no—
1674C2×C4—861no—
1675C2×C4—861no—
1676C2×C4—861no—
1677C2×C4—861no—
1678C2×C4—861no—
1679C2×C4—861no—
1680C2×C4—861no—
1681C2×C4—861no—
1682C2×C4—861no—
1683C2×C4—861no—
1684C2×C4—861no—
1685C2×C4—861no—
1686C2×C4—861no—
1687C2×C4—861no—
1688C2×C4—861no—
1689C2×C4—861no—
1690C2×C4—861no—
1691C2×C4—861no—
1692C2×C4—861no—
1693C2×C4—861no—
1694C2×C4—861no—
1695C2×C4—861no—
1696C2×C4—861no—
1697C2×C4—861no—
1698C2×C4—861no—
1699C2×C4—861no—
1700C2×C4—861no—
1701C2×C4—861no—
1702C2×C4—861no—
1703C2×C4—861no—
1704C2×C4—3442no—
1705C2×C4—1724no—
1706C2×C4—1724no—
1707C2×C4—1724no—
1708C2×C4—1724no—
1709C2×C4—1724no—
1710C2×C4—1724no—
1711C2×C4C2×D4×D4312yes—
1712C2×C4C2×D4×D4312yes—
1713C2×C4C2×D4×D4312yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—862no—
1743C22—862no—
1744C22—862no—
1745C22—862no—
1746C22—862no—
1747C22—862no—
1748C22—862no—
1749C22—862no—
1750C22—862no—
1751C22—3448no—
1752C22—17216no—
1753C22—1721no—
1754C22—1721no—
1755C22—1721no—
1756C22—1721no—
1757C22—1721no—
1758C22—1721no—
1759C22—1721no—
1760C22—1721no—
1761C22—1721no—
1762C22—1721no—
1763C22—1721no—
1764C22—1721no—
1765C22—1721no—
1766C22—1721no—
1767C22—1721no—
1768C22—1721no—
1769C22—1721no—
1770C22—1721no—
1771C22—1721no—
1772C22C22×D4×D4311yescharacteristic
1773C22H(5,𝔽2)×D4311yescharacteristic
1774C22H(5,𝔽2)×D4311yescharacteristic
1775C22C2×#1306337011yescharacteristic
1776C22#1458373411yescharacteristic
1777C22#1458373511yescharacteristic
1778C22#1458373611yescharacteristic
1779C4—22no—
1780C4—22no—
1781C4—22no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—862no—
1791C4—862no—
1792C4—862no—
1793C4—1721no—
1794C4—1721no—
1795C4—1721no—
1796C4—1721no—
1797C4—1721no—
1798C4—1721no—
1799C4—1721no—
1800C4—1721no—
1801C4—1721no—
1802C2—42no—
1803C2—81no—
1804C2—81no—
1805C2—81no—
1806C2—3441no—
1807C2—1722no—
1808C2—1722no—
1809C2—1722no—
1810C2#1914792311yescharacteristic
1811C2#1914822311yescharacteristic
1812C2#1914826311yescharacteristic
1813C2#1914876511yescharacteristic
1814C2#1914877511yescharacteristic
1815C2#1914886611yescharacteristic
1816C2#1914890811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2682C2
hypercenter#2682D43
hypocenterC43#36724
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2682

Complements

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

NH ≅ G/Ntype
1. C2×#14583485C2semidirect
2. C2×#14583407C2semidirect
3. #19142890C2semidirect
4. #19142874C2semidirect
5. #19141264C2semidirect
6. #19141221C2semidirect
7. #19141198C2semidirect
8. #19141177C2semidirect
9. #19141019C2semidirect
10. #19140948C2semidirect
11. #19140947C2semidirect
12. #19140928C2semidirect
13. #19140923C2semidirect
14. #19140917C2semidirect
15. #19140917C2semidirect
16. #19140853C2semidirect
17. #19140822C2semidirect
18. #19140814C2semidirect
19. #19140807C2semidirect
20. #19140484C2semidirect
21. #19140441C2semidirect
22. #19140279C2semidirect
23. #19140218C2semidirect
24. #19140185C2semidirect
25. #19140181C2semidirect
26. #19139561C2semidirect
27. #19139486C2semidirect
28. #19137936C2semidirect
29. #19137909C2semidirect
30. #19137234C2semidirect
31. C43×#2682C2semidirect
33. C23×C4×D43C22semidirect
36. C2×#13063320C22semidirect
37. C2×#13063318C22semidirect
39. C2×#13063311C22semidirect
40. C2×#13063311C22semidirect
46. C2×#13063305C22semidirect
47. C2×#13063304C22semidirect
48. C2×#13063303C22semidirect
49. C2×#13063303C22semidirect
62. C2×#13063293C22semidirect
63. C2×#13063293C22semidirect
64. C2×#13063293C22semidirect
65. C2×#13063293C22semidirect
68. C2×C4×C22⋊D43C22semidirect
69. C2×(C22⋊D43)⋊C4C22semidirect
70. C2×(C22⋊D43)⋊C4C22semidirect
71. C2×#13063281C22semidirect
72. C2×C22⋊C4×D43C22semidirect
73. #14582839C22semidirect
74. #14582835C22semidirect
75. #14582832C22semidirect
76. #14582832C22semidirect
77. #14582829C22semidirect
78. #14582827C22semidirect
79. #14582825C22semidirect
80. #14582825C22semidirect
81. #14582822C22semidirect
82. #14582822C22semidirect
83. #14582821C22semidirect
84. #14582821C22semidirect
85. #14582819C22semidirect
91. #14582815C22semidirect
92. #14582815C22semidirect
93. #14582815C22semidirect
94. #14582815C22semidirect
95. #14582815C22semidirect
96. #14582815C22semidirect
99. #14582814C22semidirect
100. #14582814C22semidirect
101. #14582814C22semidirect
102. #14582813C22semidirect
103. #14582812C22semidirect
104. #14582811C22semidirect
105. #14582811C22semidirect
113. #14582807C22semidirect
114. #14582807C22semidirect
115. #14582804C22semidirect
116. #14582803C22semidirect
118. #14582802C22semidirect
123. #14582799C22semidirect
124. #14582798C22semidirect
125. #14582796C22semidirect
126. #14582793C22semidirect
127. #14582793C22semidirect
128. #14582793C22semidirect
129. #14582793C22semidirect
130. #14582792C22semidirect
131. #14582791C22semidirect
132. #14582791C22semidirect
133. #14582791C22semidirect
134. #14582790C22semidirect
135. #14582790C22semidirect
136. #14582789C22semidirect
137. #14582789C22semidirect
138. #14582789C22semidirect
139. #14582787C22semidirect
140. #14582782C22semidirect
141. #14582780C22semidirect
143. #14582779C22semidirect
144. #14582779C22semidirect
145. #14582779C22semidirect
147. #14582778C22semidirect
151. #14582776C22semidirect
155. #14582775C22semidirect
156. #14582775C22semidirect
157. #14582775C22semidirect
158. #14582771C22semidirect
159. #14582771C22semidirect
160. #14582770C22semidirect
161. #14582770C22semidirect
162. #14582761C22semidirect
163. #14582761C22semidirect
164. #14582761C22semidirect
165. #14582761C22semidirect
166. #14582759C22semidirect
167. #14582756C22semidirect
168. #14582756C22semidirect
169. #14582756C22semidirect
170. #14582754C22semidirect
171. #14582754C22semidirect
172. C4⋊C4×Dic43C22semidirect
173. #14582745C22semidirect
174. C2×#123×C43C22semidirect
175. C2×#123×C43C22semidirect
177. C2×#121×C43C22semidirect
178. C43×#396C22semidirect
179. C43×#396C22semidirect
181. C43×#394C22semidirect
183. C43×#392C22semidirect
184. C43×#390C22semidirect
185. C43×#390C22semidirect
186. C43×#389C22semidirect
187. C43×#385C22semidirect
188. C43×#385C22semidirect
254. #13063287D4semidirect
903. #2682D43semidirect
954. C2×#123C2×D43semidirect
955. C2×#123C2×D43semidirect
967. C2×#121C2×D43semidirect
997. #396C2×D43semidirect
998. #396C2×D43semidirect
1018. #394C2×D43semidirect
1032. #392C2×D43semidirect
1042. #390C2×D43semidirect
1043. #390C2×D43semidirect
1046. #389C2×D43semidirect
1083. #385C2×D43semidirect
1084. #385C2×D43semidirect
1097. C43#36724semidirect

Maximal subgroups

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

subgroupindex
C2×#145834852
C2×#145834072
#191428902
#191428742
#191412642
#191412212
#191411982
#191411772
#191410192
#191409482
#191409472
#191409282
#191409232
#191409172
#191408532
#191408222
#191408142
#191408072
#191404842
#191404412
#191402792
#191402182
#191401852
#191401812
#191395612
#191394862
#191379362
#191379092
#191372342
C43×#26822
#3672443