Finite Group Databasebeta

← #33967899

Subgroups — #33967899

Order 18688.

2178 conjugacy classes of subgroups.

The subgroup lattice has 1832 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623535C211yesmaximal, characteristic, complemented
2D4×#11924028C211yesmaximal, characteristic, complemented
3#22622974C211yesmaximal, characteristic, complemented
4#22622831C211yesmaximal, characteristic, complemented
5#22622724C211yesmaximal, characteristic, complemented
6#22622639C211yesmaximal, characteristic, complemented
7#22622406C211yesmaximal, characteristic, complemented
8#22622397C211yesmaximal, characteristic, complemented
9#22622284C211yesmaximal, characteristic, complemented
10#22622077C211yesmaximal, characteristic, complemented
11#22622068C211yesmaximal, characteristic, complemented
12#22621897C211yesmaximal, characteristic, complemented
13#22621888C211yesmaximal, characteristic, complemented
14#22621751C211yesmaximal, characteristic, complemented
15#22621740C211yesmaximal, characteristic, complemented
16D8×C22⋊D73C211yesmaximal, characteristic, complemented
17#22621413C211yesmaximal, characteristic, complemented
18#22621411C211yesmaximal, characteristic, complemented
19#22620666C211yesmaximal, characteristic, complemented
20#22620629C211yesmaximal, characteristic, complemented
21#22620627C211yesmaximal, characteristic, complemented
22#22620078C211yesmaximal, characteristic, complemented
23#22620069C211yesmaximal, characteristic, complemented
24#22620067C211yesmaximal, characteristic, complemented
25#22620022C211yesmaximal, characteristic, complemented
26#22620020C211yesmaximal, characteristic, complemented
27#22620020C211yesmaximal, characteristic, complemented
28#22618942C211yesmaximal, characteristic, complemented
29#22618742C211yesmaximal, characteristic, complemented
30#442×D73C211yesmaximal, characteristic, complemented
31C2×#442×C73C211yesmaximal, characteristic, complemented
32C22×#11924028—21no—
33C2×#14556615C2211yescharacteristic
34C2×D8×D73C2211yescharacteristic
35#17989320C2211yescharacteristic, complemented
36#17989296C2211yescharacteristic, complemented
37#17989292C2211yescharacteristic, complemented
38#17989287C2211yescharacteristic, complemented
39#17989286—21no—
40#17989285C2211yescharacteristic, complemented
41#17989266—21no—
42#17989263—21no—
43#17989258C2211yescharacteristic, complemented
44D4×Dic146C2211yescharacteristic, complemented
45#17989246—21no—
46#17989242C2211yescharacteristic, complemented
47#17989238C2211yescharacteristic
48#17989238C2211yescharacteristic, complemented
49#17989233—21no—
50#17989232C2211yescharacteristic, complemented
51#17989231C2211yescharacteristic, complemented
52#17989227—21no—
53#17989227—21no—
54#17989227—21no—
55D4×D292C2211yescharacteristic, complemented
56D4×C22⋊D73C2211yescharacteristic
57D4×C22⋊D73C2211yescharacteristic, complemented
58D4×C22⋊D73C2211yescharacteristic, complemented
59#17989137C2211yescharacteristic, complemented
60#17989134C2211yescharacteristic, complemented
61#17989134C2211yescharacteristic, complemented
62#17989134C2211yescharacteristic, complemented
63#17989121C2211yescharacteristic, complemented
64#17989119C2211yescharacteristic, complemented
65#17989117—21no—
66#17989098—21no—
67#17989098—21no—
68#17989096—21no—
69#17989096—21no—
70#17989096—21no—
71C4×#11924028C2211yescharacteristic
72C4×#11924027C2211yescharacteristic, complemented
73C2×C4×C22⋊D73—21no—
74C4×D4×D73C2211yescharacteristic, complemented
75C4×D4×D73C2211yescharacteristic, complemented
76C4×D4×D73C2211yescharacteristic, complemented
77#17988996C2211yescharacteristic, complemented
78#17988994C2211yescharacteristic, complemented
79#17988984C2211yescharacteristic, complemented
80#17988976C2211yescharacteristic, complemented
81#17988975C2211yescharacteristic, complemented
82#17988962C2211yescharacteristic, complemented
83#17988952C2211yescharacteristic, complemented
84#17988950C2211yescharacteristic, complemented
85#17988947C2211yescharacteristic, complemented
86#17988945C2211yescharacteristic, complemented
87#17988932C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic, complemented
89#17988919C2211yescharacteristic, complemented
90#17988917C2211yescharacteristic, complemented
91#17988913C2211yescharacteristic, complemented
92#17988909C2211yescharacteristic, complemented
93#17988907C2211yescharacteristic, complemented
94#17988907C2211yescharacteristic, complemented
95#17988905C2211yescharacteristic, complemented
96#17988905C2211yescharacteristic, complemented
97#17988904C2211yescharacteristic, complemented
98#17988904C2211yescharacteristic, complemented
99#17988900C2211yescharacteristic, complemented
100#17988899C2211yescharacteristic, complemented
101#17988887C2211yescharacteristic, complemented
102#17988887C2211yescharacteristic, complemented
103#17988886C2211yescharacteristic, complemented
104#17988885C2211yescharacteristic, complemented
105#17988877C2211yescharacteristic, complemented
106#17988877C2211yescharacteristic, complemented
107#17988876C2211yescharacteristic, complemented
108#17988876C2211yescharacteristic, complemented
109#17988875C2211yescharacteristic, complemented
110#17988875C2211yescharacteristic, complemented
111#17988871C2211yescharacteristic, complemented
112#17988865C2211yescharacteristic, complemented
113#17988841C2211yescharacteristic, complemented
114#17988839C2211yescharacteristic, complemented
115#17988839C2211yescharacteristic, complemented
116#17988837C2211yescharacteristic, complemented
117#17988823C2211yescharacteristic, complemented
118#17988823C2211yescharacteristic, complemented
119#17988822C2211yescharacteristic, complemented
120#17988820C2211yescharacteristic, complemented
121#17988817C2211yescharacteristic, complemented
122#17988816C2211yescharacteristic, complemented
123#17988816C2211yescharacteristic, complemented
124#17988815C2211yescharacteristic, complemented
125#17988802C2211yescharacteristic, complemented
126#17988802C2211yescharacteristic, complemented
127#17988801C2211yescharacteristic, complemented
128#17988800C2211yescharacteristic, complemented
129#17988786C2211yescharacteristic, complemented
130#17988782C2211yescharacteristic, complemented
131#17988782C2211yescharacteristic, complemented
132#17988781C2211yescharacteristic, complemented
133#17988781C2211yescharacteristic, complemented
134#17988780C2211yescharacteristic
135#17988780C2211yescharacteristic, complemented
136#17988780C2211yescharacteristic, complemented
137#17988739C2211yescharacteristic, complemented
138#17988738C2211yescharacteristic, complemented
139#17988733C2211yescharacteristic, complemented
140#17988729C2211yescharacteristic, complemented
141#17988722C2211yescharacteristic, complemented
142#17988722C2211yescharacteristic, complemented
143#17988721C2211yescharacteristic
144#17988721C2211yescharacteristic, complemented
145#17988721C2211yescharacteristic, complemented
146#17988719C2211yescharacteristic
147#17988719C2211yescharacteristic, complemented
148#17988719C2211yescharacteristic, complemented
149#17988715C2211yescharacteristic, complemented
150#17988715C2211yescharacteristic, complemented
151#17988700C2211yescharacteristic, complemented
152#17988700C2211yescharacteristic, complemented
153#17988699C2211yescharacteristic
154#17988698C2211yescharacteristic, complemented
155#17988697C2211yescharacteristic, complemented
156#17988697C2211yescharacteristic, complemented
157#17988697C2211yescharacteristic, complemented
158#17988697C2211yescharacteristic, complemented
159#17988697C2211yescharacteristic, complemented
160#17988697C2211yescharacteristic, complemented
161#17988696C2211yescharacteristic, complemented
162#17988696C2211yescharacteristic, complemented
163#17988689C2211yescharacteristic, complemented
164#17988689C2211yescharacteristic, complemented
165#17988687C2211yescharacteristic, complemented
166#17988687C2211yescharacteristic, complemented
167#17988678C2211yescharacteristic, complemented
168#17988674C2211yescharacteristic, complemented
169D8×Dic73C2211yescharacteristic
170#17988667C2211yescharacteristic, complemented
171#17988660C2211yescharacteristic, complemented
172#17988660C2211yescharacteristic, complemented
173#17988658C2211yescharacteristic, complemented
174#17988658C2211yescharacteristic, complemented
175C8×C22⋊D73C2211yescharacteristic, complemented
176C8×C22⋊D73C2211yescharacteristic, complemented
177#17988644C2211yescharacteristic, complemented
178#17988642C2211yescharacteristic, complemented
179#17988642C2211yescharacteristic, complemented
180#17988626C2211yescharacteristic, complemented
181#106×D73C2211yescharacteristic, complemented
182#17988590C2211yescharacteristic, complemented
183#17988585C2211yescharacteristic, complemented
184#102×D73C2211yescharacteristic, complemented
185#102×D73C2211yescharacteristic, complemented
186#17988539C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188C22×D8×C73C2211yescharacteristic
189C2×C4×D4×C73C2211yescharacteristic, complemented
190C2×C4×D4×C73C2211yescharacteristic, complemented
191#442×C73C2211yescharacteristic
192#442×C73C2211yescharacteristic
193#442×C73C2211yescharacteristic, complemented
194#442×C73C2211yescharacteristic, complemented
195#442×C73C2211yescharacteristic, complemented
196#442×C73C2211yescharacteristic, complemented
197#442×C73C2211yescharacteristic, complemented
198#442×C73C2211yescharacteristic, complemented
199C2×#106×C73C2211yescharacteristic, complemented
200C2×#102×C73C2211yescharacteristic, complemented
201C2×#102×C73C2211yescharacteristic, complemented
202C2×#97×C73C2211yescharacteristic, complemented
203C2×#11924028—21no—
204C2×#11924028—21no—
205C2×#11924028—21no—
206C2×#11924028—21no—
207C2×#11924028—21no—
208C2×#11924028—21no—
209C2×#11924028—21no—
210C2×#11924028—21no—
211C2×#11924028—48no—
212C2×#11924028D411yescharacteristic
213C2×#11924027C2311yescharacteristic
214C22×Dic146—21no—
215C22×D292—21no—
216C22×C22⋊D73—21no—
217C22×C22⋊D73—21no—
218C22×C22⋊D73—21no—
219C2×D4×D73C2311yescharacteristic
220C2×D4×D73C2311yescharacteristic
221C2×D4×D73C2311yescharacteristic
222C22×C4×D73—21no—
223C22×C4×D73—21no—
224C22×C4×D73—21no—
225#14556615—24no—
226C2×#11924017C2311yescharacteristic
227C2×#11924017C2311yescharacteristic
228C2×#11924016C2311yescharacteristic
229C2×#11924016C2311yescharacteristic
230C2×D584C2311yescharacteristic
231C2×D584C2311yescharacteristic
232C2×#11924013C2311yescharacteristic
233C2×#11924013C2311yescharacteristic
234C2×#11924013C2311yescharacteristic
235C2×#11924013C2311yescharacteristic
236C2×#11924013C2311yescharacteristic
237C2×#11924013C2311yescharacteristic
238D8×D73—24no—
239C2×#11924011C2311yescharacteristic
240C2×#11924011C2311yescharacteristic
241C2×C8×D73C2311yescharacteristic
242C2×C8×D73C2311yescharacteristic
243#14556591C2311yescharacteristic
244#14556590C2311yescharacteristic
245#14556590C2311yescharacteristic
246#14556590C2311yescharacteristic
247#14556588C2311yescharacteristic
248#14556587C2311yescharacteristic
249#14556587C2311yescharacteristic
250#14556587C2311yescharacteristic
251#14556586—21no—
252#14556585—21no—
253#14556584—21no—
254#14556584—21no—
255#14556583C2311yescharacteristic
256#14556582C2311yescharacteristic
257#14556581—21no—
258#14556579—21no—
259#14556579C2311yescharacteristic
260#14556578C2311yescharacteristic
261#14556577—21no—
262#14556577—21no—
263#14556577—21no—
264#14556577—21no—
265#14556576—21no—
266#14556576—21no—
267#14556576—21no—
268#14556575—21no—
269#14556574—21no—
270#14556574—21no—
271#14556574—21no—
272#14556574—21no—
273#14556574—21no—
274#14556573—21no—
275#14556573—21no—
276#14556573—21no—
277#14556573—21no—
278#14556572—21no—
279#14556571C2311yescharacteristic
280#14556570—21no—
281#14556570—21no—
282#14556570—21no—
283#14556570—21no—
284#14556570C2311yescharacteristic
285#14556569—21no—
286#14556569—21no—
287#14556569—21no—
288#14556568—21no—
289#14556568—21no—
290#14556568—21no—
291#14556568—21no—
292#14556566C2311yescharacteristic
293#14556566C2311yescharacteristic
294#14556566C2311yescharacteristic
295#14556565—21no—
296#14556565—21no—
297#14556565—21no—
298#14556565—21no—
299#14556565—21no—
300#14556565C2311yescharacteristic
301#14556565C2311yescharacteristic
302#14556565C2311yescharacteristic
303#14556564—21no—
304#14556564—21no—
305#14556564—21no—
306#14556564—21no—
307#14556564—21no—
308#14556564—21no—
309#14556563—21no—
310#14556563—21no—
311#14556563—21no—
312#14556563—21no—
313#14556562C2311yescharacteristic
314#14556562C2311yescharacteristic
315#14556562C2311yescharacteristic
316#14556562C2311yescharacteristic
317#14556561—21no—
318#14556561—21no—
319#14556561—21no—
320#14556560—21no—
321#14556560—21no—
322#14556560—21no—
323#14556560—21no—
324#14556559—21no—
325#14556559—21no—
326#14556559—21no—
327C4×Dic146D411yescharacteristic
328C4×Dic146C2311yescharacteristic
329C4×Dic146C2311yescharacteristic
330#14556556C2311yescharacteristic
331C4×D292—21no—
332C4×D292D411yescharacteristic
333C4×D292C2311yescharacteristic
334C4×D292C2311yescharacteristic
335C4×D292C2311yescharacteristic
336C4×D292C2311yescharacteristic
337D4×Dic73C2311yescharacteristic
338D4×Dic73C2311yescharacteristic
339D4×Dic73C2311yescharacteristic
340D4×Dic73C2311yescharacteristic
341#14556553C2311yescharacteristic
342#14556553C2311yescharacteristic
343#14556553C2311yescharacteristic
344C4×C22⋊D73—21no—
345C4×C22⋊D73—21no—
346C4×C22⋊D73—21no—
347C4×C22⋊D73—21no—
348C4×C22⋊D73—21no—
349C4×C22⋊D73—21no—
350C4×C22⋊D73—21no—
351C4×C22⋊D73—21no—
352C4×C22⋊D73—21no—
353C4×C22⋊D73—21no—
354C4×C22⋊D73—21no—
355C4×C22⋊D73—21no—
356C4×C22⋊D73—21no—
357C4×C22⋊D73D411yescharacteristic
358C4×C22⋊D73D411yescharacteristic
359C4×C22⋊D73C2311yescharacteristic
360C4×C22⋊D73C2311yescharacteristic
361#14556551—21no—
362#14556551—21no—
363#14556551—21no—
364#14556551—21no—
365#14556550—21no—
366#14556550D411yescharacteristic
367#14556549C2311yescharacteristic
368#14556548—21no—
369#14556548D411yescharacteristic
370#14556548D411yescharacteristic
371#14556547—21no—
372C2×#11924007—21no—
373C4⋊C4×D73C2311yescharacteristic
374C4⋊C4×D73C2311yescharacteristic
375C4⋊C4×D73C2311yescharacteristic
376C2×C22⋊Dic73—21no—
377C2×#11924005—21no—
378C22⋊C4×D73—21no—
379C22⋊C4×D73—21no—
380C22⋊C4×D73—21no—
381C2×C4×Dic73—21no—
382C42×D73C2311yescharacteristic
383C42×D73C2311yescharacteristic
384#14556525C2311yescharacteristic
385#14556525C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556523C2311yescharacteristic
389#14556523C2311yescharacteristic
390#14556522C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396C4⋊#10596831C2311yescharacteristic
397C4⋊#10596831C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556514C2311yescharacteristic
405#14556514C2311yescharacteristic
406#14556513C2311yescharacteristic
407#14556513C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556512C2311yescharacteristic
413#14556512C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427C22⋊#10596831C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556503C2311yescharacteristic
432#14556502C2311yescharacteristic
433#14556502C2311yescharacteristic
434#14556501C2311yescharacteristic
435#14556501C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C22×D4×C73C2311yescharacteristic
439C22×D4×C73C2311yescharacteristic
440C23×C4×C73—21no—
441C23×C4×C73—21no—
442C2×D8×C73—24no—
443C2×D8×C73C2311yescharacteristic
444C2×D8×C73C2311yescharacteristic
445C2×D8×C73C2311yescharacteristic
446C2×D8×C73C2311yescharacteristic
447C22×C8×C73C2311yescharacteristic
448C22×C8×C73C2311yescharacteristic
449C4×D4×C73—21no—
450C4×D4×C73—21no—
451C4×D4×C73—21no—
452C4×D4×C73—21no—
453C4×D4×C73C2311yescharacteristic
454C4×D4×C73C2311yescharacteristic
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458C4×D4×C73C2311yescharacteristic
459C4×D4×C73C2311yescharacteristic
460C4×D4×C73C2311yescharacteristic
461C2×C4⋊C4×C73C2311yescharacteristic
462C2×C4⋊C4×C73C2311yescharacteristic
463C2×C22⋊C4×C73—21no—
464C2×C22⋊C4×C73—21no—
465C2×C42×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470#102×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#97×C73C2311yescharacteristic
479#97×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481#97×C73C2311yescharacteristic
482C23×D73—21no—
483C23×D73—21no—
484C23×D73—21no—
485#11924028—24no—
486#11924028—44no—
487#11924028—44no—
488#11924028—44no—
489#11924028—44no—
490#11924028—44no—
491#11924028—44no—
492#11924028—44no—
493#11924028—82no—
494#11924027—22no—
495#11924027—41no—
496C2×Dic146—21no—
497C2×Dic146—21no—
498C2×Dic146—21no—
499C2×Dic146—21no—
500C2×Dic146—44no—
501C2×Dic146C2×D411yescharacteristic
502C2×Dic146C2411yescharacteristic
503C2×D292—21no—
504C2×D292—21no—
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—21no—
508C2×D292—44no—
509C2×D292C2×D411yescharacteristic
510C2×D292C2411yescharacteristic
511C2×D292C2411yescharacteristic
512C2×D292C2411yescharacteristic
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
527C2×C22⋊D73—21no—
528C2×C22⋊D73—21no—
529C2×C22⋊D73—21no—
530C2×C22⋊D73—44no—
531C2×C22⋊D73—44no—
532C2×C22⋊D73—44no—
533C2×C22⋊D73C2×D411yescharacteristic
534C2×C22⋊D73C2×D411yescharacteristic
535D4×D73—22no—
536D4×D73—22no—
537D4×D73—22no—
538D4×D73—41no—
539D4×D73—41no—
540D4×D73—41no—
541C22×Dic73—21no—
542C22×Dic73—21no—
543C22×Dic73—21no—
544C22×Dic73—21no—
545C22×Dic73—21no—
546C2×C4×D73—21no—
547C2×C4×D73—21no—
548C2×C4×D73—21no—
549C2×C4×D73—21no—
550C2×C4×D73—21no—
551C2×C4×D73—21no—
552C2×C4×D73—21no—
553C2×C4×D73—21no—
554C2×C4×D73—21no—
555C2×C4×D73—44no—
556C2×C4×D73—44no—
557C2×C4×D73—82no—
558C2×C4×D73C2×D411yescharacteristic
559C2×C4×D73C2×D411yescharacteristic
560C2×C4×D73C2×D411yescharacteristic
561C2×C4×D73C2×D411yescharacteristic
562C2×C4×D73C2411yescharacteristic
563C2×C4×D73C2411yescharacteristic
564#11924017—22no—
565#11924017—41no—
566#11924016—22no—
567#11924016—41no—
568D584—22no—
569D584—41no—
570#11924013—22no—
571#11924013—22no—
572#11924013—22no—
573#11924013—41no—
574#11924013—41no—
575#11924013—41no—
576#11924011—22no—
577#11924011—41no—
578C2×#10596831C2411yescharacteristic
579C2×#10596831C2411yescharacteristic
580C2×#10596831C2411yescharacteristic
581C2×#10596831C2411yescharacteristic
582C8×D73—22no—
583C8×D73—41no—
584C4⋊Dic73—21no—
585C4⋊Dic73—21no—
586C4⋊Dic73—21no—
587C4⋊Dic73C2×D411yescharacteristic
588C4⋊Dic73C2×D411yescharacteristic
589C4⋊Dic73C2411yescharacteristic
590C4⋊Dic73C2411yescharacteristic
591C4⋊Dic73C2411yescharacteristic
592C4⋊Dic73C2411yescharacteristic
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007—21no—
599#11924007—21no—
600#11924007—21no—
601#11924007—21no—
602#11924007—21no—
603#11924007—21no—
604#11924007—21no—
605#11924007C2×D411yescharacteristic
606#11924007C2×D411yescharacteristic
607#11924007C2×D411yescharacteristic
608#11924007C2×D411yescharacteristic
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
614C22⋊Dic73—21no—
615C22⋊Dic73—21no—
616C22⋊Dic73—21no—
617C22⋊Dic73—21no—
618C22⋊Dic73—21no—
619C22⋊Dic73—21no—
620C22⋊Dic73C2×D411yescharacteristic
621C22⋊Dic73C2×D411yescharacteristic
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005—21no—
632#11924005—21no—
633#11924005—21no—
634#11924005—21no—
635#11924005—21no—
636#11924005—21no—
637#11924005—21no—
638#11924005C2×D411yescharacteristic
639#11924005C2×D411yescharacteristic
640#11924005C2×D411yescharacteristic
641#11924005C2×D411yescharacteristic
642C4×Dic73—21no—
643C4×Dic73—21no—
644C4×Dic73—21no—
645C4×Dic73C2×D411yescharacteristic
646C4×Dic73C2×D411yescharacteristic
647C4×Dic73C2×D411yescharacteristic
648C4×Dic73C2×D411yescharacteristic
649C4×Dic73C2411yescharacteristic
650C4×Dic73C2411yescharacteristic
651C24×C73—21no—
652C24×C73—21no—
653C2×D4×C73—22no—
654C2×D4×C73—22no—
655C2×D4×C73—21no—
656C2×D4×C73—21no—
657C2×D4×C73—41no—
658C2×D4×C73—41no—
659C2×D4×C73C2411yescharacteristic
660C2×D4×C73C2411yescharacteristic
661C2×D4×C73C2411yescharacteristic
662C2×D4×C73C2411yescharacteristic
663C22×C4×C73—21no—
664C22×C4×C73—21no—
665C22×C4×C73—21no—
666C22×C4×C73—21no—
667C22×C4×C73—21no—
668C22×C4×C73—21no—
669C22×C4×C73—21no—
670C22×C4×C73—21no—
671C22×C4×C73—21no—
672C22×C4×C73—21no—
673C22×C4×C73—44no—
674C22×C4×C73—82no—
675C22×C4×C73C2×D411yescharacteristic
676C22×C4×C73C2×D411yescharacteristic
677C22×C4×C73C2411yescharacteristic
678D8×C73—22no—
679D8×C73—22no—
680D8×C73—22no—
681D8×C73#4114yescomplemented
682C2×C8×C73—22no—
683C2×C8×C73—41no—
684C2×C8×C73C2411yescharacteristic
685C2×C8×C73C2411yescharacteristic
686C2×C8×C73C2411yescharacteristic
687C2×C8×C73C2411yescharacteristic
688C4⋊C4×C73—21no—
689C4⋊C4×C73—21no—
690C4⋊C4×C73C2411yescharacteristic
691C4⋊C4×C73C2411yescharacteristic
692C4⋊C4×C73C2411yescharacteristic
693C4⋊C4×C73C2411yescharacteristic
694C22⋊C4×C73—21no—
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73—21no—
702C42×C73C2×D411yescharacteristic
703C42×C73C2×D411yescharacteristic
704C42×C73C2411yescharacteristic
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73—21no—
708C23×C73—21no—
709C23×C73—21no—
710C23×C73—42no—
711C23×C73—42no—
712C23×C73—42no—
713C23×C73—42no—
714C23×C73—81no—
715C23×C73—81no—
716C23×C73C22×D411yescharacteristic
717C22×D73—21no—
718C22×D73—21no—
719C22×D73—21no—
720C22×D73—42no—
721C22×D73—42no—
722C22×D73—42no—
723C22×D73—42no—
724C22×D73—42no—
725C22×D73—42no—
726C22×D73—81no—
727C22×D73—81no—
728C22×D73—81no—
729C22×D73C22×D411yescharacteristic
730C22×D73C22×D411yescharacteristic
731D4×C73—21no—
732D4×C73—21no—
733D4×C73—21no—
734D4×C73—21no—
735D4×C73—21no—
736D4×C73—21no—
737D4×C73—42no—
738D4×C73—42no—
739D4×C73C2×#4112yes—
740D4×C73C2×#4112yescomplemented
741C2×C4×C73—22no—
742C2×C4×C73—21no—
743C2×C4×C73—21no—
744C2×C4×C73—21no—
745C2×C4×C73—21no—
746C2×C4×C73—21no—
747C2×C4×C73—21no—
748C2×C4×C73—41no—
749C2×C4×C73—42no—
750C2×C4×C73—42no—
751C2×C4×C73—42no—
752C2×C4×C73—42no—
753C2×C4×C73—42no—
754C2×C4×C73—42no—
755C2×C4×C73—42no—
756C2×C4×C73—81no—
757C2×C4×C73—81no—
758C2×C4×C73—81no—
759C2×C4×C73C22×D411yescharacteristic
760C2×C4×C73C22×D411yescharacteristic
761C2×C4×C73C22×D411yescharacteristic
762C2×C4×C73C22×D411yescharacteristic
763C2×C4×C73C22×D411yescharacteristic
764C2×C4×C73C2511yescharacteristic
765C22⋊D73—22no—
766C22⋊D73—42no—
767C22⋊D73—42no—
768C22⋊D73—42no—
769C22⋊D73—42no—
770C22⋊D73—42no—
771C22⋊D73—42no—
772C22⋊D73—42no—
773C22⋊D73—42no—
774C22⋊D73—42no—
775C22⋊D73—42no—
776C22⋊D73—42no—
777C22⋊D73—42no—
778C22⋊D73—42no—
779C22⋊D73—81no—
780C22⋊D73—81no—
781C22⋊D73—81no—
782C22⋊D73—81no—
783C22⋊D73AGL(1,ℤ/8)14yescomplemented
784C2×Dic73—21no—
785C2×Dic73—21no—
786C2×Dic73—21no—
787C2×Dic73—21no—
788C2×Dic73—21no—
789C2×Dic73—42no—
790C2×Dic73—42no—
791C2×Dic73—42no—
792C2×Dic73—42no—
793C2×Dic73—81no—
794C2×Dic73C22×D411yescharacteristic
795C2×Dic73C22×D411yescharacteristic
796C2×Dic73C22×D411yescharacteristic
797C2×Dic73C22×D411yescharacteristic
798C2×Dic73C22×D411yescharacteristic
799C2×Dic73C22×D411yescharacteristic
800D292—22no—
801D292—21no—
802D292—21no—
803D292—21no—
804D292—21no—
805D292—21no—
806D292—21no—
807D292—42no—
808D292—42no—
809D292—42no—
810D292—81no—
811D292—81no—
812C4×D73—22no—
813C4×D73—21no—
814C4×D73—21no—
815C4×D73—21no—
816C4×D73—21no—
817C4×D73—22no—
818C4×D73—41no—
819C4×D73—41no—
820C4×D73—42no—
821C4×D73—42no—
822C4×D73—42no—
823C4×D73—42no—
824C4×D73—42no—
825C4×D73—42no—
826C4×D73—42no—
827C4×D73—81no—
828C4×D73—81no—
829Dic146—22no—
830Dic146—21no—
831Dic146—21no—
832Dic146—42no—
833Dic146—42no—
834Dic146—42no—
835Dic146—81no—
836C8×C73—21no—
837C8×C73—21no—
838C8×C73—21no—
839C8×C73C2×#4112yescomplemented
840#10596831—21no—
841#10596831—21no—
842#10596831—21no—
843#10596831—21no—
844C22×C73—21no—
845C22×C73—21no—
846C22×C73—22no—
847C22×C73—22no—
848C22×C73—41no—
849C22×C73—41no—
850C22×C73—41no—
851C22×C73—41no—
852C22×C73—41no—
853C22×C73—41no—
854C22×C73—41no—
855C22×C73—41no—
856C22×C73—41no—
857C22×C73—41no—
858C22×C73—84no—
859C22×C73—84no—
860C22×C73C2×AGL(1,ℤ/8)12yes—
861C22×C73C23×D411yescharacteristic
862C2×D73—21no—
863C2×D73—21no—
864C2×D73—21no—
865C2×D73—21no—
866C2×D73—21no—
867C2×D73—41no—
868C2×D73—41no—
869C2×D73—41no—
870C2×D73—41no—
871C2×D73—41no—
872C2×D73—41no—
873C2×D73—41no—
874C2×D73—41no—
875C2×D73—41no—
876C2×D73—84no—
877C2×D73—84no—
878C2×D73—84no—
879C2×D73C2×AGL(1,ℤ/8)12yes—
880C4×C73—21no—
881C4×C73—21no—
882C4×C73—21no—
883C4×C73—21no—
884C4×C73—21no—
885C4×C73—41no—
886C4×C73—41no—
887C4×C73—41no—
888C4×C73—41no—
889C4×C73C22×#4111yescharacteristic
890C4×C73#58511yescharacteristic
891Dic73—21no—
892Dic73—21no—
893Dic73—21no—
894Dic73—21no—
895Dic73—21no—
896Dic73—41no—
897Dic73—41no—
898Dic73—41no—
899Dic73—41no—
900Dic73—41no—
901Dic73C2×AGL(1,ℤ/8)12yes—
902#61451—731nomaximal, Sylow
903C2×C73—22no—
904C2×C73—42no—
905C2×C73—42no—
906C2×C73—81no—
907C2×C73—81no—
908C2×C73D4×#4111yescharacteristic
909C2×C73C22×AGL(1,ℤ/8)11yescharacteristic
910C2×C73#358511yescharacteristic
911D73—22no—
912D73—41no—
913D73—81no—
914D73—81no—
915D73—81no—
916#3481—731no—
917D4×#41—731no—
918#3399—731no—
919#3384—731no—
920#3373—731no—
921#3366—731no—
922#3345—731no—
923#3345—731no—
924#3335—731no—
925#3318—731no—
926#3318—731no—
927#3306—731no—
928#3306—731no—
929#3295—731no—
930#3294—731no—
931D4×D8—731no—
932#3264—731no—
933#3264—731no—
934#3184—731no—
935#3180—731no—
936#3180—731no—
937#3115—731no—
938#3114—731no—
939#3114—731no—
940#3109—731no—
941#3109—731no—
942#3109—731no—
943#2970—731no—
944C4×AGL(1,ℤ/8)—731no—
945C2×#442—731no—
946C2×#442D7311yescharacteristic, complemented
947C73#6145111yescharacteristic, complemented, Sylow
948C22×#41—1461no—
949C2×AGL(1,ℤ/8)—731no—
950C22×D8—731no—
951C22×D8C2×D7311yescharacteristic
952#559—731no—
953#554—731no—
954#554—731no—
955#553—731no—
956#553—731no—
957#553—1461no—
958#551—1461no—
959#551—1461no—
960#550—731no—
961D4×Q8—731no—
962#548—1461no—
963#547—731no—
964#547—731no—
965#547—731no—
966#546—731no—
967#546—731no—
968#546—1461no—
969#546—1461no—
970#546—1461no—
971#546—1461no—
972D42—731no—
973D42—731no—
974D42—731no—
975D42—731no—
976#532—731no—
977#532—731no—
978#532—731no—
979#532—731no—
980#529—731no—
981#529—731no—
982#529—1461no—
983#525—1461no—
984#525—1461no—
985#525—1461no—
986#525—1461no—
987#525—1461no—
988C4×#41—731no—
989C4×#41—731no—
990C2×C4×D4—731no—
991C2×C4×D4—731no—
992C2×C4×D4—731no—
993C2×C4×D4—1461no—
994C2×C4×D4C2×D7311yescharacteristic, complemented
995C2×C4×D4C2×D7311yescharacteristic, complemented
996#501—731no—
997#501—731no—
998#498—731no—
999#496—731no—
1000#496—731no—
1001#493—731no—
1002#490—731no—
1003#490—731no—
1004#489—731no—
1005#489—731no—
1006#486—731no—
1007#486—731no—
1008#483—731no—
1009#483—731no—
1010#482—731no—
1011#482—731no—
1012#481—731no—
1013#481—731no—
1014#481—731no—
1015#481—731no—
1016#481—731no—
1017#481—731no—
1018#480—731no—
1019#480—731no—
1020#478—731no—
1021#478—731no—
1022#478—731no—
1023#478—731no—
1024#476—731no—
1025#476—731no—
1026#476—731no—
1027#476—731no—
1028#476—731no—
1029#476—731no—
1030#475—731no—
1031#474—731no—
1032#469—731no—
1033#469—731no—
1034#469—731no—
1035#469—731no—
1036#466—731no—
1037#466—731no—
1038#466—731no—
1039#466—731no—
1040#465—731no—
1041#465—731no—
1042#465—731no—
1043#465—731no—
1044#463—731no—
1045#463—731no—
1046#463—731no—
1047#463—731no—
1048#460—731no—
1049#459—731no—
1050#459—731no—
1051#459—731no—
1052#459—731no—
1053#459—731no—
1054#459—731no—
1055#459—731no—
1056#450—731no—
1057#450—731no—
1058#449—731no—
1059#449—731no—
1060#447—731no—
1061#447—731no—
1062#447—731no—
1063#447—731no—
1064#447—731no—
1065#447—731no—
1066#447—731no—
1067#447—731no—
1068#446—731no—
1069#446—731no—
1070#442—731no—
1071#442—731no—
1072#442—731no—
1073#442—731no—
1074#442—731no—
1075#442—731no—
1076#442—731no—
1077#442—731no—
1078#442—731no—
1079#442—731no—
1080#442—731no—
1081#442—731no—
1082#442C2×D7311yescharacteristic
1083#442C2×D7311yescharacteristic
1084#442C2×D7311yescharacteristic, complemented
1085#442C2×D7311yescharacteristic, complemented
1086#442C2×D7311yescharacteristic, complemented
1087#442C2×D7311yescharacteristic, complemented
1088#442C2×D7311yescharacteristic, complemented
1089#442C2×D7311yescharacteristic, complemented
1090#440—731no—
1091#440—731no—
1092#440—731no—
1093#440—731no—
1094C4×SD16—731no—
1095C4×SD16—731no—
1096C4×D8—731no—
1097C4×D8—731no—
1098#435—731no—
1099#435—731no—
1100#435—731no—
1101#435—731no—
1102C8×D4—731no—
1103C8×D4—731no—
1104#432—731no—
1105#432—731no—
1106#432—731no—
1107#428—731no—
1108C2×#106—731no—
1109C2×#106C2×D7311yescharacteristic, complemented
1110#418—731no—
1111#417—731no—
1112C2×#102—731no—
1113C2×#102—731no—
1114C2×#102C2×D7311yescharacteristic, complemented
1115C2×#102C2×D7311yescharacteristic, complemented
1116C4×M16—731no—
1117C2×#97—731no—
1118C2×#97C2×D7311yescharacteristic, complemented
1119C2×#41—2928no—
1120C2×#41—731no—
1121C2×#41—731no—
1122C2×#41—1461no—
1123C2×#41—1461no—
1124C2×#41—1461no—
1125C2×#41—1461no—
1126C2×#41—1461no—
1127C2×#41—1461no—
1128C2×#41—1461no—
1129C2×#41—1461no—
1130C22×Q8—1461no—
1131C22×D4—731no—
1132C22×D4—731no—
1133C22×D4—731no—
1134C22×D4—1461no—
1135C22×D4—1461no—
1136C22×D4—1461no—
1137C22×D4—1461no—
1138C22×D4C22×D7311yescharacteristic
1139C22×D4C22×D7311yescharacteristic
1140C23×C4—21no—
1141C23×C4—21no—
1142C23×C4—1461no—
1143C23×C4—1461no—
1144C23×C4—1461no—
1145AGL(1,ℤ/8)—1464no—
1146C2×SD16—731no—
1147C2×SD16—731no—
1148C2×SD16—731no—
1149C2×SD16—731no—
1150C2×D8—24no—
1151C2×D8—731no—
1152C2×D8—731no—
1153C2×D8—731no—
1154C2×D8—731no—
1155C2×D8—731no—
1156C2×D8—731no—
1157C2×D8—731no—
1158C2×D8—731no—
1159C2×D8—1464no—
1160C2×D8C22×D7311yescharacteristic
1161C2×D8C22×D7311yescharacteristic
1162C2×D8C22×D7311yescharacteristic
1163C2×D8C22×D7311yescharacteristic
1164C2×M16—731no—
1165C2×M16—731no—
1166C22×C8—731no—
1167C22×C8—731no—
1168C22×C8C22×D7311yescharacteristic
1169C22×C8C22×D7311yescharacteristic
1170C4⋊Q8—731no—
1171C4⋊Q8—731no—
1172C4⋊Q8—731no—
1173C4⋊Q8—731no—
1174#127—731no—
1175#127—731no—
1176#127—731no—
1177#127—731no—
1178#126—1461no—
1179#126—1461no—
1180#126—1461no—
1181#126—1461no—
1182#125—731no—
1183#125—731no—
1184#125—1461no—
1185#124—731no—
1186#124—731no—
1187#124—1461no—
1188#124—1461no—
1189#124—1461no—
1190#124—1461no—
1191#124—1461no—
1192#123—1461no—
1193#123—1461no—
1194#123—1461no—
1195#123—1461no—
1196#123—1461no—
1197#123—1461no—
1198#123—1461no—
1199#123—1461no—
1200#123—1461no—
1201#123—1461no—
1202#123—1461no—
1203#123—1461no—
1204#123—1461no—
1205#123—1461no—
1206C22⋊Q8—731no—
1207C22⋊Q8—731no—
1208C22⋊Q8—1461no—
1209C22⋊Q8—1461no—
1210C22⋊Q8—1461no—
1211C22⋊Q8—1461no—
1212C22⋊Q8—1461no—
1213C22⋊Q8—1461no—
1214C22⋊Q8—1461no—
1215C22⋊Q8—1461no—
1216C22⋊Q8—1461no—
1217C22⋊Q8—1461no—
1218C22⋊Q8—1461no—
1219#121—731no—
1220#121—731no—
1221#121—731no—
1222#121—731no—
1223#121—731no—
1224#121—731no—
1225#121—731no—
1226#121—731no—
1227#121—731no—
1228#121—731no—
1229#121—1461no—
1230#121—1461no—
1231#121—1461no—
1232#121—1461no—
1233#121—1461no—
1234#121—1461no—
1235#121—1461no—
1236#121—1461no—
1237#121—1461no—
1238#121—1461no—
1239#121—1461no—
1240#121—1461no—
1241#121—1461no—
1242#121—1461no—
1243#121—1461no—
1244#120—1461no—
1245#120—1461no—
1246#120—1461no—
1247#120—1461no—
1248#120—1461no—
1249#120—1461no—
1250#120—1461no—
1251#120—1461no—
1252#120—1461no—
1253#120—1461no—
1254C4×Q8—731no—
1255C4×Q8—731no—
1256C4×Q8—731no—
1257C4×Q8—731no—
1258C4×D4—21no—
1259C4×D4—21no—
1260C4×D4—21no—
1261C4×D4—21no—
1262C4×D4—731no—
1263C4×D4—731no—
1264C4×D4—731no—
1265C4×D4—731no—
1266C4×D4—731no—
1267C4×D4—731no—
1268C4×D4—731no—
1269C4×D4—731no—
1270C4×D4—731no—
1271C4×D4—731no—
1272C4×D4—731no—
1273C4×D4—731no—
1274C4×D4—731no—
1275C4×D4—731no—
1276C4×D4—731no—
1277C4×D4—731no—
1278C4×D4—1461no—
1279C4×D4—1461no—
1280C4×D4—1461no—
1281C4×D4—1461no—
1282C4×D4—1461no—
1283C4×D4—1461no—
1284C4×D4—1461no—
1285C4×D4—1461no—
1286C4×D4—1461no—
1287C4×D4—1461no—
1288C4×D4—1461no—
1289C4×D4—1461no—
1290C4×D4—1461no—
1291C4×D4—1461no—
1292C4×D4—1461no—
1293C4×D4—1461no—
1294C4×D4—1461no—
1295C4×D4—1461no—
1296C4×D4C22×D7311yescharacteristic
1297C4×D4C22×D7311yescharacteristic
1298C4×D4C22×D7311yescharacteristic
1299C4×D4C22×D7311yescharacteristic
1300C4×D4C22×D7311yescharacteristic
1301C4×D4C22×D7311yescharacteristic
1302C4×D4C22×D7311yescharacteristic
1303C4×D4C22×D7311yescharacteristic
1304#117—731no—
1305#117—731no—
1306#117—731no—
1307#117—731no—
1308#117—1461no—
1309#117—1461no—
1310#117—1461no—
1311C2×C4⋊C4—731no—
1312C2×C4⋊C4—731no—
1313C2×C4⋊C4—731no—
1314C2×C4⋊C4—1461no—
1315C2×C4⋊C4C22×D7311yescharacteristic
1316C2×C4⋊C4C22×D7311yescharacteristic
1317C2×C22⋊C4—21no—
1318C2×C22⋊C4—21no—
1319C2×C22⋊C4—1461no—
1320C2×C22⋊C4—1461no—
1321C2×C22⋊C4—1461no—
1322C2×C22⋊C4—1461no—
1323C2×C22⋊C4—1461no—
1324C2×C42—731no—
1325C2×C42—731no—
1326C2×C42—1461no—
1327C2×C42C22×D7311yescharacteristic
1328#107—731no—
1329#107—731no—
1330#107—731no—
1331#107—731no—
1332#106—731no—
1333#106—731no—
1334#106—731no—
1335#106—731no—
1336#106—731no—
1337#106—731no—
1338#106—731no—
1339#106—731no—
1340#106C22×D7311yescharacteristic
1341#106C22×D7311yescharacteristic
1342#106C22×D7311yescharacteristic
1343#106C22×D7311yescharacteristic
1344C4⋊C8—731no—
1345C4⋊C8—731no—
1346C4⋊C8—731no—
1347C4⋊C8—731no—
1348C4⋊C8—731no—
1349C4⋊C8—731no—
1350#103—731no—
1351#103—731no—
1352#103—731no—
1353#103—731no—
1354#102—731no—
1355#102—731no—
1356#102—731no—
1357#102—731no—
1358#102—731no—
1359#102—731no—
1360#102—731no—
1361#102—731no—
1362#102—731no—
1363#102—731no—
1364#102—731no—
1365#102—731no—
1366#102—731no—
1367#102—731no—
1368#102—731no—
1369#102—731no—
1370#102—731no—
1371#102—731no—
1372#102—731no—
1373#102—731no—
1374#102C22×D7311yescharacteristic
1375#102C22×D7311yescharacteristic
1376#102C22×D7311yescharacteristic
1377#102C22×D7311yescharacteristic
1378#102C22×D7311yescharacteristic
1379#102C22×D7311yescharacteristic
1380#102C22×D7311yescharacteristic
1381#102C22×D7311yescharacteristic
1382C22⋊C8—731no—
1383C22⋊C8—731no—
1384C22⋊C8—731no—
1385C22⋊C8—731no—
1386C22⋊C8—731no—
1387C22⋊C8—731no—
1388#97—731no—
1389#97—731no—
1390#97—731no—
1391#97—731no—
1392#97C22×D7311yescharacteristic
1393#97C22×D7311yescharacteristic
1394#97C22×D7311yescharacteristic
1395#97C22×D7311yescharacteristic
1396C4×C8—731no—
1397C4×C8—731no—
1398C24—21no—
1399C24—21no—
1400C24—1461no—
1401C24—1461no—
1402C24—1461no—
1403#41—2924no—
1404#41—2924no—
1405#41—2924no—
1406#41—2924no—
1407#41—2924no—
1408#41—2924no—
1409#41—2924no—
1410#41—2921no—
1411#41—5842no—
1412#41—1464no—
1413#41—1462no—
1414C2×Q8—2924no—
1415C2×Q8—731no—
1416C2×Q8—731no—
1417C2×Q8—1461no—
1418C2×Q8—1461no—
1419C2×Q8—1461no—
1420C2×Q8—1461no—
1421C2×D4—22no—
1422C2×D4—22no—
1423C2×D4—21no—
1424C2×D4—21no—
1425C2×D4—41no—
1426C2×D4—41no—
1427C2×D4—2924no—
1428C2×D4—2924no—
1429C2×D4—2924no—
1430C2×D4—2924no—
1431C2×D4—2921no—
1432C2×D4—2921no—
1433C2×D4—2921no—
1434C2×D4—731no—
1435C2×D4—731no—
1436C2×D4—731no—
1437C2×D4—731no—
1438C2×D4—731no—
1439C2×D4—731no—
1440C2×D4—1461no—
1441C2×D4—1461no—
1442C2×D4—1461no—
1443C2×D4—1461no—
1444C2×D4—1461no—
1445C2×D4—1461no—
1446C2×D4—1461no—
1447C2×D4—1461no—
1448C2×D4—1461no—
1449C2×D4—1461no—
1450C2×D4—1461no—
1451C2×D4—1461no—
1452C2×D4—1461no—
1453C2×D4—1461no—
1454C2×D4—1461no—
1455C2×D4—1461no—
1456C2×D4—1461no—
1457C2×D4—1461no—
1458C2×D4—1461no—
1459C2×D4—1462no—
1460C2×D4—1462no—
1461C2×D4—1462no—
1462C2×D4—1461no—
1463C2×D4—1461no—
1464C2×D4—1461no—
1465C2×D4C23×D7311yescharacteristic
1466C2×D4C23×D7311yescharacteristic
1467C2×D4C23×D7311yescharacteristic
1468C2×D4C23×D7311yescharacteristic
1469C22×C4—21no—
1470C22×C4—21no—
1471C22×C4—21no—
1472C22×C4—21no—
1473C22×C4—21no—
1474C22×C4—21no—
1475C22×C4—21no—
1476C22×C4—21no—
1477C22×C4—21no—
1478C22×C4—21no—
1479C22×C4—44no—
1480C22×C4—82no—
1481C22×C4—2924no—
1482C22×C4—2924no—
1483C22×C4—5842no—
1484C22×C4—731no—
1485C22×C4—731no—
1486C22×C4—731no—
1487C22×C4—731no—
1488C22×C4—731no—
1489C22×C4—731no—
1490C22×C4—1461no—
1491C22×C4—1461no—
1492C22×C4—1461no—
1493C22×C4—1461no—
1494C22×C4—1461no—
1495C22×C4—1461no—
1496C22×C4—1461no—
1497C22×C4—1461no—
1498C22×C4—1461no—
1499C22×C4—1461no—
1500C22×C4—1461no—
1501C22×C4—1461no—
1502C22×C4—1461no—
1503C22×C4—1461no—
1504C22×C4D4×D7311yescharacteristic
1505C22×C4D4×D7311yescharacteristic
1506C22×C4C23×D7311yescharacteristic
1507SD16—2921no—
1508SD16—2921no—
1509SD16—1462no—
1510SD16—1462no—
1511D8—22no—
1512D8—22no—
1513D8—22no—
1514D8—2921no—
1515D8—2921no—
1516D8—2921no—
1517D8—2921no—
1518D8—1462no—
1519D8—1462no—
1520D8—1462no—
1521D8—1462no—
1522D8#1192402814yescomplemented
1523M16—2921no—
1524M16—1462no—
1525C2×C8—22no—
1526C2×C8—41no—
1527C2×C8—2921no—
1528C2×C8—731no—
1529C2×C8—731no—
1530C2×C8—731no—
1531C2×C8—731no—
1532C2×C8—1462no—
1533C2×C8C23×D7311yescharacteristic
1534C2×C8C23×D7311yescharacteristic
1535C2×C8C23×D7311yescharacteristic
1536C2×C8C23×D7311yescharacteristic
1537C4⋊C4—21no—
1538C4⋊C4—21no—
1539C4⋊C4—731no—
1540C4⋊C4—731no—
1541C4⋊C4—731no—
1542C4⋊C4—731no—
1543C4⋊C4—731no—
1544C4⋊C4—731no—
1545C4⋊C4—731no—
1546C4⋊C4—731no—
1547C4⋊C4—731no—
1548C4⋊C4—731no—
1549C4⋊C4—1461no—
1550C4⋊C4—1461no—
1551C4⋊C4—1461no—
1552C4⋊C4—1461no—
1553C4⋊C4—1461no—
1554C4⋊C4—1461no—
1555C4⋊C4—1461no—
1556C4⋊C4—1461no—
1557C4⋊C4—1461no—
1558C4⋊C4—1461no—
1559C4⋊C4—1461no—
1560C4⋊C4—1461no—
1561C4⋊C4—1461no—
1562C4⋊C4—1461no—
1563C4⋊C4—1461no—
1564C4⋊C4C23×D7311yescharacteristic
1565C4⋊C4C23×D7311yescharacteristic
1566C4⋊C4C23×D7311yescharacteristic
1567C4⋊C4C23×D7311yescharacteristic
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4—21no—
1576C22⋊C4—731no—
1577C22⋊C4—731no—
1578C22⋊C4—731no—
1579C22⋊C4—731no—
1580C22⋊C4—731no—
1581C22⋊C4—731no—
1582C22⋊C4—1461no—
1583C22⋊C4—1461no—
1584C22⋊C4—1461no—
1585C22⋊C4—1461no—
1586C22⋊C4—1461no—
1587C22⋊C4—1461no—
1588C22⋊C4—1461no—
1589C22⋊C4—1461no—
1590C22⋊C4—1461no—
1591C22⋊C4—1461no—
1592C22⋊C4—1461no—
1593C22⋊C4—1461no—
1594C22⋊C4—1461no—
1595C22⋊C4—1461no—
1596C22⋊C4—1461no—
1597C22⋊C4—1461no—
1598C22⋊C4—1461no—
1599C22⋊C4—1461no—
1600C22⋊C4—1461no—
1601C22⋊C4—1461no—
1602C22⋊C4—1461no—
1603C22⋊C4—1461no—
1604C22⋊C4—1461no—
1605C22⋊C4—1461no—
1606C22⋊C4—1461no—
1607C22⋊C4—1461no—
1608C22⋊C4—1461no—
1609C42—731no—
1610C42—731no—
1611C42—731no—
1612C42—731no—
1613C42—731no—
1614C42—731no—
1615C42—1461no—
1616C42—1461no—
1617C42—1461no—
1618C42D4×D7311yescharacteristic
1619C42D4×D7311yescharacteristic
1620C42C23×D7311yescharacteristic
1621C42C23×D7311yescharacteristic
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—42no—
1627C23—42no—
1628C23—42no—
1629C23—42no—
1630C23—81no—
1631C23—81no—
1632C23—2922no—
1633C23—2922no—
1634C23—2922no—
1635C23—2922no—
1636C23—2922no—
1637C23—2922no—
1638C23—5841no—
1639C23—5841no—
1640C23—5841no—
1641C23—731no—
1642C23—731no—
1643C23—1461no—
1644C23—1461no—
1645C23—1461no—
1646C23C2×D4×D7311yescharacteristic
1647Q8—2922no—
1648Q8—2922no—
1649Q8—2922no—
1650Q8—5841no—
1651Q8—1462no—
1652Q8—1461no—
1653Q8—1461no—
1654D4—21no—
1655D4—21no—
1656D4—21no—
1657D4—21no—
1658D4—21no—
1659D4—21no—
1660D4—42no—
1661D4—42no—
1662D4—2922no—
1663D4—2922no—
1664D4—2922no—
1665D4—2922no—
1666D4—2922no—
1667D4—2922no—
1668D4—2922no—
1669D4—2922no—
1670D4—2922no—
1671D4—2922no—
1672D4—2922no—
1673D4—2922no—
1674D4—2922no—
1675D4—2922no—
1676D4—2922no—
1677D4—2922no—
1678D4—5841no—
1679D4—5841no—
1680D4—5841no—
1681D4—5841no—
1682D4—5841no—
1683D4—5841no—
1684D4—734no—
1685D4—1462no—
1686D4—1462no—
1687D4—1461no—
1688D4—1461no—
1689D4—1461no—
1690D4—1461no—
1691D4—1461no—
1692D4—1461no—
1693D4C2×#1192402812yes—
1694D4C2×#1192402812yescomplemented
1695C2×C4—22no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—41no—
1703C2×C4—42no—
1704C2×C4—42no—
1705C2×C4—42no—
1706C2×C4—42no—
1707C2×C4—42no—
1708C2×C4—42no—
1709C2×C4—42no—
1710C2×C4—81no—
1711C2×C4—81no—
1712C2×C4—81no—
1713C2×C4—2922no—
1714C2×C4—2922no—
1715C2×C4—2922no—
1716C2×C4—2921no—
1717C2×C4—2921no—
1718C2×C4—2922no—
1719C2×C4—2922no—
1720C2×C4—2922no—
1721C2×C4—2922no—
1722C2×C4—2922no—
1723C2×C4—2922no—
1724C2×C4—2922no—
1725C2×C4—2922no—
1726C2×C4—5841no—
1727C2×C4—5841no—
1728C2×C4—5841no—
1729C2×C4—731no—
1730C2×C4—731no—
1731C2×C4—731no—
1732C2×C4—731no—
1733C2×C4—731no—
1734C2×C4—731no—
1735C2×C4—1462no—
1736C2×C4—1462no—
1737C2×C4—1461no—
1738C2×C4—1461no—
1739C2×C4—1461no—
1740C2×C4—1461no—
1741C2×C4—1461no—
1742C2×C4—1461no—
1743C2×C4—1461no—
1744C2×C4—1461no—
1745C2×C4—1461no—
1746C2×C4C2×D4×D7311yescharacteristic
1747C2×C4C2×D4×D7311yescharacteristic
1748C2×C4C2×D4×D7311yescharacteristic
1749C2×C4C2×D4×D7311yescharacteristic
1750C2×C4C2×D4×D7311yescharacteristic
1751C2×C4C24×D7311yescharacteristic
1752C8—21no—
1753C8—21no—
1754C8—21no—
1755C8—1461no—
1756C8—1461no—
1757C8—1461no—
1758C8—1461no—
1759C8C2×#1192402812yescomplemented
1760C22—21no—
1761C22—21no—
1762C22—22no—
1763C22—22no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—84no—
1775C22—84no—
1776C22—2921no—
1777C22—2921no—
1778C22—2921no—
1779C22—2921no—
1780C22—2921no—
1781C22—2921no—
1782C22—2921no—
1783C22—2921no—
1784C22—2921no—
1785C22—5844no—
1786C22—5844no—
1787C22—5844no—
1788C22—732no—
1789C22—1461no—
1790C22—1461no—
1791C22—1461no—
1792C22—1461no—
1793C22—1461no—
1794C22AGL(1,ℤ/8)×D7312yes—
1795C22C22×D4×D7311yescharacteristic
1796C4—21no—
1797C4—21no—
1798C4—21no—
1799C4—21no—
1800C4—21no—
1801C4—41no—
1802C4—41no—
1803C4—41no—
1804C4—41no—
1805C4—2921no—
1806C4—2921no—
1807C4—2921no—
1808C4—2921no—
1809C4—2921no—
1810C4—732no—
1811C4—1461no—
1812C4—1461no—
1813C4—1461no—
1814C4—1461no—
1815C4—1461no—
1816C4C22×#1192402811yescharacteristic
1817C4#1798942311yescharacteristic
1818C2—22no—
1819C2—42no—
1820C2—42no—
1821C2—81no—
1822C2—81no—
1823C2—2921no—
1824C2—5841no—
1825C2—5841no—
1826C2—5841no—
1827C2—1462no—
1828C2D4×#1192402811yescharacteristic
1829C2C2×AGL(1,ℤ/8)×D7311yescharacteristic
1830C2#2262470711yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC2×#442×C73C2
socleC22×C73C23×D4
hypercenterC2×#442D73
hypocenterC73#61451
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ C2×#442

Complements

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

NH ≅ G/Ntype
1. #22623535C2semidirect
2. D4×#11924028C2semidirect
3. #22622974C2semidirect
4. #22622831C2semidirect
5. #22622724C2semidirect
6. #22622639C2semidirect
7. #22622406C2semidirect
8. #22622397C2semidirect
9. #22622284C2semidirect
10. #22622077C2semidirect
11. #22622068C2semidirect
12. #22621897C2semidirect
13. #22621888C2semidirect
14. #22621751C2semidirect
15. #22621740C2semidirect
16. D8×C22⋊D73C2semidirect
17. #22621413C2semidirect
18. #22621411C2semidirect
19. #22620666C2semidirect
20. #22620629C2semidirect
21. #22620627C2semidirect
22. #22620078C2semidirect
23. #22620069C2semidirect
24. #22620067C2semidirect
25. #22620022C2semidirect
26. #22620020C2semidirect
27. #22620020C2semidirect
28. #22618942C2semidirect
29. #22618742C2semidirect
30. #442×D73C2semidirect
31. C2×#442×C73C2semidirect
35. #17989320C22semidirect
36. #17989296C22semidirect
37. #17989292C22semidirect
38. #17989287C22semidirect
40. #17989285C22semidirect
43. #17989258C22semidirect
44. D4×Dic146C22semidirect
46. #17989242C22semidirect
48. #17989238C22semidirect
50. #17989232C22semidirect
51. #17989231C22semidirect
55. D4×D292C22semidirect
57. D4×C22⋊D73C22semidirect
58. D4×C22⋊D73C22semidirect
59. #17989137C22semidirect
60. #17989134C22semidirect
61. #17989134C22semidirect
62. #17989134C22semidirect
63. #17989121C22semidirect
64. #17989119C22semidirect
72. C4×#11924027C22semidirect
74. C4×D4×D73C22semidirect
75. C4×D4×D73C22semidirect
76. C4×D4×D73C22semidirect
77. #17988996C22semidirect
78. #17988994C22semidirect
79. #17988984C22semidirect
80. #17988976C22semidirect
81. #17988975C22semidirect
82. #17988962C22semidirect
83. #17988952C22semidirect
84. #17988950C22semidirect
85. #17988947C22semidirect
86. #17988945C22semidirect
87. #17988932C22semidirect
88. #17988932C22semidirect
89. #17988919C22semidirect
90. #17988917C22semidirect
91. #17988913C22semidirect
92. #17988909C22semidirect
93. #17988907C22semidirect
94. #17988907C22semidirect
95. #17988905C22semidirect
96. #17988905C22semidirect
97. #17988904C22semidirect
98. #17988904C22semidirect
99. #17988900C22semidirect
100. #17988899C22semidirect
101. #17988887C22semidirect
102. #17988887C22semidirect
103. #17988886C22semidirect
104. #17988885C22semidirect
105. #17988877C22semidirect
106. #17988877C22semidirect
107. #17988876C22semidirect
108. #17988876C22semidirect
109. #17988875C22semidirect
110. #17988875C22semidirect
111. #17988871C22semidirect
112. #17988865C22semidirect
113. #17988841C22semidirect
114. #17988839C22semidirect
115. #17988839C22semidirect
116. #17988837C22semidirect
117. #17988823C22semidirect
118. #17988823C22semidirect
119. #17988822C22semidirect
120. #17988820C22semidirect
121. #17988817C22semidirect
122. #17988816C22semidirect
123. #17988816C22semidirect
124. #17988815C22semidirect
125. #17988802C22semidirect
126. #17988802C22semidirect
127. #17988801C22semidirect
128. #17988800C22semidirect
129. #17988786C22semidirect
130. #17988782C22semidirect
131. #17988782C22semidirect
132. #17988781C22semidirect
133. #17988781C22semidirect
135. #17988780C22semidirect
136. #17988780C22semidirect
137. #17988739C22semidirect
138. #17988738C22semidirect
139. #17988733C22semidirect
140. #17988729C22semidirect
141. #17988722C22semidirect
142. #17988722C22semidirect
144. #17988721C22semidirect
145. #17988721C22semidirect
147. #17988719C22semidirect
148. #17988719C22semidirect
149. #17988715C22semidirect
150. #17988715C22semidirect
151. #17988700C22semidirect
152. #17988700C22semidirect
154. #17988698C22semidirect
155. #17988697C22semidirect
156. #17988697C22semidirect
157. #17988697C22semidirect
158. #17988697C22semidirect
159. #17988697C22semidirect
160. #17988697C22semidirect
161. #17988696C22semidirect
162. #17988696C22semidirect
163. #17988689C22semidirect
164. #17988689C22semidirect
165. #17988687C22semidirect
166. #17988687C22semidirect
167. #17988678C22semidirect
168. #17988674C22semidirect
170. #17988667C22semidirect
171. #17988660C22semidirect
172. #17988660C22semidirect
173. #17988658C22semidirect
174. #17988658C22semidirect
175. C8×C22⋊D73C22semidirect
176. C8×C22⋊D73C22semidirect
177. #17988644C22semidirect
178. #17988642C22semidirect
179. #17988642C22semidirect
180. #17988626C22semidirect
181. #106×D73C22semidirect
182. #17988590C22semidirect
183. #17988585C22semidirect
184. #102×D73C22semidirect
185. #102×D73C22semidirect
186. #17988539C22semidirect
187. #97×D73C22semidirect
189. C2×C4×D4×C73C22semidirect
190. C2×C4×D4×C73C22semidirect
193. #442×C73C22semidirect
194. #442×C73C22semidirect
195. #442×C73C22semidirect
196. #442×C73C22semidirect
197. #442×C73C22semidirect
198. #442×C73C22semidirect
199. C2×#106×C73C22semidirect
200. C2×#102×C73C22semidirect
201. C2×#102×C73C22semidirect
202. C2×#97×C73C22semidirect
681. D8×C73#41semidirect
740. D4×C73C2×#41semidirect
783. C22⋊D73AGL(1,ℤ/8)semidirect
839. C8×C73C2×#41semidirect
946. C2×#442D73semidirect
947. C73#61451semidirect
994. C2×C4×D4C2×D73semidirect
995. C2×C4×D4C2×D73semidirect
1084. #442C2×D73semidirect
1085. #442C2×D73semidirect
1086. #442C2×D73semidirect
1087. #442C2×D73semidirect
1088. #442C2×D73semidirect
1089. #442C2×D73semidirect
1109. C2×#106C2×D73semidirect
1114. C2×#102C2×D73semidirect
1115. C2×#102C2×D73semidirect
1118. C2×#97C2×D73semidirect
1522. D8#11924028semidirect
1694. D4C2×#11924028semidirect
1759. C8C2×#11924028semidirect

Maximal subgroups

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

subgroupindex
#226235352
D4×#119240282
#226229742
#226228312
#226227242
#226226392
#226224062
#226223972
#226222842
#226220772
#226220682
#226218972
#226218882
#226217512
#226217402
D8×C22⋊D732
#226214132
#226214112
#226206662
#226206292
#226206272
#226200782
#226200692
#226200672
#226200222
#226200202
#226189422
#226187422
#442×D732
C2×#442×C732
#6145173