Finite Group Databasebeta

← #33956870

Subgroups — #33956870

Order 18688.

2208 conjugacy classes of subgroups.

The subgroup lattice has 1972 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623598C211yesmaximal, characteristic, complemented
2#22623259C211yesmaximal, characteristic, complemented
3#22620844C211yesmaximal, characteristic, complemented
4#22620837C211yesmaximal, characteristic, complemented
5#22620833C211yesmaximal, characteristic, complemented
6#22620830C211yesmaximal, characteristic, complemented
7#22620790C211yesmaximal, characteristic, complemented
8#22620783C211yesmaximal, characteristic, complemented
9#22620780C211yesmaximal, characteristic, complemented
10#22620771C211yesmaximal, characteristic, complemented
11#22620769C211yesmaximal, characteristic, complemented
12#22620748C211yesmaximal, characteristic, complemented
13#22620740C211yesmaximal, characteristic, complemented
14#22620726C211yesmaximal, characteristic, complemented
15#22620718C211yesmaximal, characteristic, complemented
16#22620697C211yesmaximal, characteristic, complemented
17#22620693C211yesmaximal, characteristic, complemented
18#22619895C211yesmaximal, characteristic, complemented
19#22619886C211yesmaximal, characteristic, complemented
20#22619868C211yesmaximal, characteristic, complemented
21#22619839C211yesmaximal, characteristic, complemented
22#22619615C211yesmaximal, characteristic, complemented
23#22619608C211yesmaximal, characteristic, complemented
24#22619574C211yesmaximal, characteristic, complemented
25#22619568C211yesmaximal, characteristic, complemented
26#22619203C211yesmaximal, characteristic, complemented
27#22619194C211yesmaximal, characteristic, complemented
28#22619169C211yesmaximal, characteristic, complemented
29#449×D73C211yesmaximal, characteristic, complemented
30#22618379C211yesmaximal, characteristic, complemented
31C73×#3198C211yesmaximal, characteristic, complemented
32C2×#14556636C2211yescharacteristic
33C2×#41×D73C2211yescharacteristic
34C2×#41×D73C2211yescharacteristic, complemented
35C2×#14556620C2211yescharacteristic, complemented
36C2×#14556615C2211yescharacteristic, complemented
37C2×SD16×D73C2211yescharacteristic, complemented
38C2×D8×D73C2211yescharacteristic, complemented
39C2×#14556599C2211yescharacteristic, complemented
40C2×#14556597C2211yescharacteristic, complemented
41#17989257—21no—
42#17989245—21no—
43#17989230—21no—
44#17989224—21no—
45#17989224—21no—
46#17989222—21no—
47#17989219—21no—
48#17989219—21no—
49#17989168C2211yescharacteristic, complemented
50#17989166C2211yescharacteristic
51#17989166C2211yescharacteristic, complemented
52#17989165C2211yescharacteristic, complemented
53#17989165C2211yescharacteristic, complemented
54#17989165C2211yescharacteristic, complemented
55#17989160—21no—
56#17989160C2211yescharacteristic
57#17989160C2211yescharacteristic, complemented
58#17989153—21no—
59#17989153C2211yescharacteristic
60#17989153C2211yescharacteristic
61#17989153C2211yescharacteristic, complemented
62#17989153C2211yescharacteristic, complemented
63#17989145—21no—
64#17989145—21no—
65#17989132—21no—
66#17989132—21no—
67#17989100—21no—
68#17989100C2211yescharacteristic, complemented
69#17989100C2211yescharacteristic, complemented
70#17989099C2211yescharacteristic, complemented
71#17989097—21no—
72#17989097C2211yescharacteristic
73#17989097C2211yescharacteristic, complemented
74#17989097C2211yescharacteristic, complemented
75#17989097C2211yescharacteristic, complemented
76C2×#14556562C2211yescharacteristic, complemented
77#121×D73C2211yescharacteristic
78#121×D73C2211yescharacteristic, complemented
79#17989067C2211yescharacteristic
80C2×#14556549C2211yescharacteristic, complemented
81#17988930C2211yescharacteristic, complemented
82#17988930C2211yescharacteristic, complemented
83#17988930C2211yescharacteristic, complemented
84#17988928C2211yescharacteristic, complemented
85#17988927C2211yescharacteristic, complemented
86#17988923C2211yescharacteristic, complemented
87#17988923C2211yescharacteristic, complemented
88#17988921C2211yescharacteristic, complemented
89#17988919C2211yescharacteristic, complemented
90#17988917C2211yescharacteristic, complemented
91#17988915C2211yescharacteristic, complemented
92#17988914C2211yescharacteristic, complemented
93#17988913C2211yescharacteristic, complemented
94#17988913C2211yescharacteristic, complemented
95#17988911C2211yescharacteristic, complemented
96#17988909C2211yescharacteristic, complemented
97#17988909C2211yescharacteristic, complemented
98#17988909C2211yescharacteristic, complemented
99#17988909C2211yescharacteristic, complemented
100#17988909C2211yescharacteristic, complemented
101#17988907C2211yescharacteristic, complemented
102#17988905C2211yescharacteristic, complemented
103#17988903C2211yescharacteristic, complemented
104#17988903C2211yescharacteristic, complemented
105#17988901C2211yescharacteristic, complemented
106#17988901C2211yescharacteristic, complemented
107#17988899C2211yescharacteristic, complemented
108#17988898C2211yescharacteristic, complemented
109#17988846C2211yescharacteristic, complemented
110#17988843C2211yescharacteristic, complemented
111#17988839C2211yescharacteristic, complemented
112#17988839C2211yescharacteristic, complemented
113#17988839C2211yescharacteristic, complemented
114#17988838C2211yescharacteristic, complemented
115#17988838C2211yescharacteristic, complemented
116#17988834C2211yescharacteristic, complemented
117#17988833C2211yescharacteristic, complemented
118#17988833C2211yescharacteristic, complemented
119#17988832C2211yescharacteristic, complemented
120#17988831C2211yescharacteristic, complemented
121#17988830C2211yescharacteristic, complemented
122#17988830C2211yescharacteristic, complemented
123#17988828C2211yescharacteristic, complemented
124#17988827C2211yescharacteristic, complemented
125#17988824C2211yescharacteristic, complemented
126#17988823C2211yescharacteristic, complemented
127#17988821C2211yescharacteristic, complemented
128#17988820C2211yescharacteristic, complemented
129#17988820C2211yescharacteristic, complemented
130#17988819C2211yescharacteristic, complemented
131#17988818C2211yescharacteristic, complemented
132#17988817C2211yescharacteristic, complemented
133#17988815C2211yescharacteristic, complemented
134#17988815C2211yescharacteristic, complemented
135#17988814C2211yescharacteristic, complemented
136#17988814C2211yescharacteristic, complemented
137#17988752C2211yescharacteristic, complemented
138#17988751C2211yescharacteristic, complemented
139#17988751C2211yescharacteristic, complemented
140#17988750C2211yescharacteristic, complemented
141#17988750C2211yescharacteristic, complemented
142#17988749C2211yescharacteristic, complemented
143#17988747C2211yescharacteristic, complemented
144#17988746C2211yescharacteristic, complemented
145#17988739C2211yescharacteristic, complemented
146#17988738C2211yescharacteristic, complemented
147#17988736C2211yescharacteristic, complemented
148#17988735C2211yescharacteristic, complemented
149#17988734C2211yescharacteristic, complemented
150#17988734C2211yescharacteristic, complemented
151#17988733C2211yescharacteristic, complemented
152#17988733C2211yescharacteristic, complemented
153#17988732C2211yescharacteristic, complemented
154#17988731C2211yescharacteristic, complemented
155#17988731C2211yescharacteristic, complemented
156#17988730C2211yescharacteristic, complemented
157#17988730C2211yescharacteristic, complemented
158#17988730C2211yescharacteristic, complemented
159#17988729C2211yescharacteristic, complemented
160#17988729C2211yescharacteristic, complemented
161#17988729C2211yescharacteristic, complemented
162#17988722C2211yescharacteristic, complemented
163#17988721C2211yescharacteristic, complemented
164#17988719C2211yescharacteristic, complemented
165#17988626C2211yescharacteristic, complemented
166#17988626C2211yescharacteristic, complemented
167#17988624C2211yescharacteristic, complemented
168#17988624C2211yescharacteristic, complemented
169#17988594C2211yescharacteristic, complemented
170#17988590C2211yescharacteristic, complemented
171#17988590C2211yescharacteristic, complemented
172#17988590C2211yescharacteristic, complemented
173#17988580C2211yescharacteristic, complemented
174#17988580C2211yescharacteristic, complemented
175#103×D73C2211yescharacteristic, complemented
176#102×D73C2211yescharacteristic, complemented
177#17988554C2211yescharacteristic, complemented
178#17988552C2211yescharacteristic
179#17988552C2211yescharacteristic
180#17988552C2211yescharacteristic, complemented
181#17988552C2211yescharacteristic, complemented
182#17988550C2211yescharacteristic, complemented
183#17988549C2211yescharacteristic, complemented
184#17988549C2211yescharacteristic, complemented
185C2×#14556503C2211yescharacteristic, complemented
186C22⋊C8×D73C2211yescharacteristic, complemented
187C22⋊C8×D73C2211yescharacteristic, complemented
188#537×C73C2211yescharacteristic, complemented
189#535×C73C2211yescharacteristic, complemented
190#485×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#481×C73C2211yescharacteristic, complemented
193#480×C73C2211yescharacteristic, complemented
194#469×C73C2211yescharacteristic, complemented
195#468×C73C2211yescharacteristic, complemented
196#466×C73C2211yescharacteristic, complemented
197#465×C73C2211yescharacteristic, complemented
198#450×C73C2211yescharacteristic, complemented
199#449×C73C2211yescharacteristic, complemented
200#449×C73C2211yescharacteristic, complemented
201#447×C73C2211yescharacteristic, complemented
202#408×C73C2211yescharacteristic, complemented
203#14556636—42no—
204#14556636—42no—
205C2×#11924029D411yescharacteristic
206C2×#11924029C2311yescharacteristic
207C2×#11924028—21no—
208C2×#11924028C2311yescharacteristic
209C2×#11924028C2311yescharacteristic
210C2×#11924028C2311yescharacteristic
211C2×#11924028C2311yescharacteristic
212C2×#11924028C2311yescharacteristic
213C2×#11924027—21no—
214C2×#11924027—21no—
215C2×#11924027D411yescharacteristic
216C2×#11924027D411yescharacteristic
217C2×#11924027D411yescharacteristic
218C2×#11924027C2311yescharacteristic
219C2×#11924027C2311yescharacteristic
220C2×#11924027C2311yescharacteristic
221#41×D73—42no—
222#41×D73—42no—
223#41×D73—42no—
224#41×D73—42no—
225C2×Q8×D73D411yescharacteristic
226C2×Q8×D73C2311yescharacteristic
227C22×C22⋊D73—21no—
228C22×C22⋊D73—21no—
229C22×C22⋊D73—21no—
230C2×D4×D73—21no—
231C2×D4×D73—21no—
232C2×D4×D73—21no—
233C2×D4×D73—21no—
234C2×D4×D73D411yescharacteristic
235C2×D4×D73D411yescharacteristic
236C2×D4×D73D411yescharacteristic
237C2×D4×D73C2311yescharacteristic
238C2×D4×D73C2311yescharacteristic
239C2×D4×D73C2311yescharacteristic
240C22×C4×D73—21no—
241C22×C4×D73C2311yescharacteristic
242C22×C4×D73C2311yescharacteristic
243C22×C4×D73C2311yescharacteristic
244#14556620—42no—
245#14556615—42no—
246C2×Dic292C2311yescharacteristic
247C2×#11924018C2311yescharacteristic
248C2×#11924017C2311yescharacteristic
249C2×#11924017C2311yescharacteristic
250C2×#11924016C2311yescharacteristic
251C2×#11924016C2311yescharacteristic
252C2×#11924016C2311yescharacteristic
253C2×#11924015C2311yescharacteristic
254SD16×D73—42no—
255C2×D584C2311yescharacteristic
256C2×#11924013C2311yescharacteristic
257C2×#11924013C2311yescharacteristic
258C2×#11924013C2311yescharacteristic
259D8×D73—42no—
260#14556599—42no—
261#14556597—42no—
262C2×#11924012C2311yescharacteristic
263C2×#11924011C2311yescharacteristic
264C2×#11924011C2311yescharacteristic
265C2×#11924011C2311yescharacteristic
266C2×#11924011C2311yescharacteristic
267C22×#10596831C2311yescharacteristic
268C2×C8×D73C2311yescharacteristic
269C2×C8×D73C2311yescharacteristic
270C2×C8×D73C2311yescharacteristic
271C2×C8×D73C2311yescharacteristic
272#14556590—21no—
273#14556590—21no—
274#14556587—21no—
275#14556587—21no—
276#14556587—21no—
277#14556587—21no—
278#14556577—21no—
279#14556577—21no—
280#14556577—21no—
281#14556577—21no—
282#14556577—21no—
283#14556577—21no—
284#14556576—21no—
285#14556576—21no—
286#14556576—21no—
287#14556576—21no—
288#14556575—21no—
289#14556573—21no—
290#14556573—21no—
291#14556573—21no—
292#14556573—21no—
293#14556573—21no—
294#14556573—21no—
295#14556571—21no—
296#14556571C2311yescharacteristic
297#14556571C2311yescharacteristic
298#14556571C2311yescharacteristic
299#14556571C2311yescharacteristic
300#14556570—21no—
301#14556570C2311yescharacteristic
302#14556570C2311yescharacteristic
303#14556570C2311yescharacteristic
304#14556570C2311yescharacteristic
305#14556568—21no—
306#14556568—21no—
307#14556567—21no—
308#14556567—21no—
309#14556567C2311yescharacteristic
310#14556567C2311yescharacteristic
311#14556566—21no—
312#14556566C2311yescharacteristic
313#14556566C2311yescharacteristic
314#14556566C2311yescharacteristic
315#14556566C2311yescharacteristic
316#14556565—21no—
317#14556565—21no—
318#14556565—21no—
319#14556565C2311yescharacteristic
320#14556565C2311yescharacteristic
321#14556565C2311yescharacteristic
322#14556565C2311yescharacteristic
323#14556564—21no—
324#14556564—21no—
325#14556564—21no—
326#14556564—21no—
327#14556563—21no—
328#14556563—21no—
329#14556563—21no—
330#14556563—21no—
331#14556563—21no—
332#14556563—21no—
333#14556563—21no—
334#14556563—21no—
335#14556563—21no—
336#14556563—21no—
337#14556562—21no—
338#14556562—21no—
339#14556562—21no—
340#14556562—21no—
341#14556562—21no—
342#14556562—21no—
343#14556562C2311yescharacteristic
344#14556562C2311yescharacteristic
345#14556562C2311yescharacteristic
346#14556562C2311yescharacteristic
347#14556562C2311yescharacteristic
348#14556562C2311yescharacteristic
349#14556561—21no—
350#14556561—21no—
351#14556561—21no—
352#14556561—21no—
353#14556561—21no—
354#14556561—21no—
355#14556561—21no—
356#14556559—21no—
357#14556559—21no—
358#14556559—21no—
359#14556559—21no—
360#14556559—21no—
361#14556559—21no—
362#14556559—21no—
363#14556559—21no—
364C4×Dic146—21no—
365C4×D292—21no—
366C4×D292—21no—
367C4×D292—21no—
368D4×Dic73—21no—
369D4×Dic73—21no—
370D4×Dic73—21no—
371D4×Dic73—21no—
372#14556553—21no—
373#14556553—21no—
374#14556551—21no—
375#14556551—21no—
376#14556551—21no—
377#14556551—21no—
378#14556551—21no—
379#14556551—21no—
380#14556551—21no—
381#14556551—21no—
382#14556549—21no—
383#14556549—21no—
384#14556549C2311yescharacteristic
385#14556549C2311yescharacteristic
386#14556549C2311yescharacteristic
387#14556549C2311yescharacteristic
388#14556549C2311yescharacteristic
389#14556549C2311yescharacteristic
390C2×C4⋊Dic73C2311yescharacteristic
391C2×C4⋊Dic73C2311yescharacteristic
392C4⋊C4×D73C2311yescharacteristic
393C4⋊C4×D73C2311yescharacteristic
394C2×C22⋊Dic73—21no—
395C2×#11924005—21no—
396C22⋊C4×D73—21no—
397C22⋊C4×D73—21no—
398C2×C4×Dic73—21no—
399#14556525C2311yescharacteristic
400#14556525C2311yescharacteristic
401#14556525C2311yescharacteristic
402#14556525C2311yescharacteristic
403#14556524C2311yescharacteristic
404#14556524C2311yescharacteristic
405#14556522C2311yescharacteristic
406#14556522C2311yescharacteristic
407#14556522C2311yescharacteristic
408#14556522C2311yescharacteristic
409#14556522C2311yescharacteristic
410#14556522C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556516C2311yescharacteristic
414#14556516C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556515C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556514C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556513C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556512C2311yescharacteristic
430#14556512C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556511C2311yescharacteristic
434#14556511C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic
436C22⋊#10596831C2311yescharacteristic
437C22⋊#10596831C2311yescharacteristic
438C22⋊#10596831C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556503C2311yescharacteristic
442#14556503C2311yescharacteristic
443#14556503C2311yescharacteristic
444#14556503C2311yescharacteristic
445#14556503C2311yescharacteristic
446#14556503C2311yescharacteristic
447C2×#41×C73C2311yescharacteristic
448C2×#41×C73C2311yescharacteristic
449C22×D4×C73C2311yescharacteristic
450C2×SD16×C73C2311yescharacteristic
451C2×SD16×C73C2311yescharacteristic
452C2×D8×C73C2311yescharacteristic
453C2×D8×C73C2311yescharacteristic
454C2×M16×C73C2311yescharacteristic
455C22×C8×C73C2311yescharacteristic
456#127×C73—21no—
457#124×C73—21no—
458C22⋊Q8×C73—21no—
459C22⋊Q8×C73C2311yescharacteristic
460C22⋊Q8×C73C2311yescharacteristic
461#121×C73—21no—
462#121×C73—21no—
463#121×C73—21no—
464#121×C73C2311yescharacteristic
465#121×C73C2311yescharacteristic
466#121×C73C2311yescharacteristic
467#121×C73C2311yescharacteristic
468#121×C73C2311yescharacteristic
469#121×C73C2311yescharacteristic
470#120×C73—21no—
471#120×C73—21no—
472#117×C73C2311yescharacteristic
473C2×C4⋊C4×C73C2311yescharacteristic
474#107×C73C2311yescharacteristic
475#107×C73C2311yescharacteristic
476#106×C73C2311yescharacteristic
477#106×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486C22⋊C8×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488C22⋊C8×C73C2311yescharacteristic
489C22⋊C8×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73—21no—
492C23×D73—21no—
493C23×D73C2×D411yescharacteristic
494C23×D73C2×D411yescharacteristic
495C23×D73C2×D411yescharacteristic
496#11924029—42no—
497#11924029—41no—
498#11924029—41no—
499#11924028—22no—
500#11924028—22no—
501#11924028—22no—
502#11924028—22no—
503#11924028—41no—
504#11924028—41no—
505#11924028—41no—
506#11924028—41no—
507#11924028—41no—
508#11924028—41no—
509#11924028—44no—
510#11924027—22no—
511#11924027—22no—
512#11924027—41no—
513#11924027—41no—
514#11924027—41no—
515#11924027—41no—
516#11924027—42no—
517#11924027—42no—
518#11924027—44no—
519#11924027—42no—
520#11924027—44no—
521C2×Dic146—21no—
522C2×Dic146C2×D411yescharacteristic
523C2×Dic146C2×D411yescharacteristic
524C2×Dic146C2×D411yescharacteristic
525C2×Dic146C2411yescharacteristic
526C2×Dic146C2411yescharacteristic
527Q8×D73—22no—
528Q8×D73—22no—
529Q8×D73—42no—
530C2×D292—21no—
531C2×D292—21no—
532C2×D292—21no—
533C2×D292—21no—
534C2×D292—21no—
535C2×D292C2×D411yescharacteristic
536C2×D292C2×D411yescharacteristic
537C2×D292C2×D411yescharacteristic
538C2×D292C2411yescharacteristic
539C2×D292C2411yescharacteristic
540C2×C22⋊D73—21no—
541C2×C22⋊D73—21no—
542C2×C22⋊D73—21no—
543C2×C22⋊D73—21no—
544C2×C22⋊D73—21no—
545C2×C22⋊D73—21no—
546C2×C22⋊D73—21no—
547C2×C22⋊D73—21no—
548C2×C22⋊D73—21no—
549C2×C22⋊D73—21no—
550C2×C22⋊D73—21no—
551C2×C22⋊D73—21no—
552C2×C22⋊D73—21no—
553C2×C22⋊D73—21no—
554C2×C22⋊D73—21no—
555C2×C22⋊D73—21no—
556C2×C22⋊D73—21no—
557C2×C22⋊D73—21no—
558C2×C22⋊D73—44no—
559C2×C22⋊D73—44no—
560C2×C22⋊D73—82no—
561C2×C22⋊D73C2×D411yescharacteristic
562C2×C22⋊D73C2×D411yescharacteristic
563C2×C22⋊D73C2×D411yescharacteristic
564C2×C22⋊D73C2×D411yescharacteristic
565C2×C22⋊D73C2×D411yescharacteristic
566C2×C22⋊D73C2×D411yescharacteristic
567D4×D73—22no—
568D4×D73—22no—
569D4×D73—22no—
570D4×D73—22no—
571D4×D73—41no—
572D4×D73—41no—
573D4×D73—42no—
574D4×D73—42no—
575D4×D73—42no—
576D4×D73—44no—
577D4×D73—44no—
578D4×D73—82no—
579D4×D73—82no—
580C22×Dic73—21no—
581C22×Dic73—21no—
582C22×Dic73—21no—
583C22×Dic73—21no—
584C22×Dic73—21no—
585C22×Dic73C2×D411yescharacteristic
586C22×Dic73C2×D411yescharacteristic
587C22×Dic73C2×D411yescharacteristic
588C2×C4×D73—22no—
589C2×C4×D73—22no—
590C2×C4×D73—21no—
591C2×C4×D73—21no—
592C2×C4×D73—21no—
593C2×C4×D73—21no—
594C2×C4×D73—21no—
595C2×C4×D73—21no—
596C2×C4×D73—41no—
597C2×C4×D73—41no—
598C2×C4×D73—41no—
599C2×C4×D73—41no—
600C2×C4×D73—44no—
601C2×C4×D73C2×D411yescharacteristic
602C2×C4×D73C2×D411yescharacteristic
603C2×C4×D73C2×D411yescharacteristic
604C2×C4×D73C2×D411yescharacteristic
605C2×C4×D73C2×D411yescharacteristic
606C2×C4×D73C2×D411yescharacteristic
607C2×C4×D73C2411yescharacteristic
608C2×C4×D73C2411yescharacteristic
609C2×C4×D73C2411yescharacteristic
610C2×C4×D73C2411yescharacteristic
611Dic292—41no—
612#11924018—41no—
613#11924017—41no—
614#11924017—41no—
615#11924016—41no—
616#11924016—41no—
617#11924016—41no—
618#11924015—41no—
619D584—41no—
620#11924013—41no—
621#11924013—41no—
622#11924013—41no—
623#11924012—41no—
624#11924011—22no—
625#11924011—22no—
626#11924011—41no—
627#11924011—41no—
628C2×#10596831—41no—
629C2×#10596831C2411yescharacteristic
630C2×#10596831C2411yescharacteristic
631C2×#10596831C2411yescharacteristic
632C2×#10596831C2411yescharacteristic
633C8×D73—22no—
634C8×D73—22no—
635C8×D73—41no—
636C8×D73—41no—
637C4⋊Dic73—21no—
638C4⋊Dic73—21no—
639C4⋊Dic73—21no—
640C4⋊Dic73—21no—
641C4⋊Dic73—21no—
642C4⋊Dic73—21no—
643C4⋊Dic73C2411yescharacteristic
644C4⋊Dic73C2411yescharacteristic
645C4⋊Dic73C2411yescharacteristic
646C4⋊Dic73C2411yescharacteristic
647#11924007—21no—
648#11924007—21no—
649#11924007—21no—
650#11924007—21no—
651#11924007—21no—
652#11924007—21no—
653#11924007—21no—
654#11924007—21no—
655C22⋊Dic73—21no—
656C22⋊Dic73—21no—
657C22⋊Dic73—21no—
658C22⋊Dic73—21no—
659C22⋊Dic73—21no—
660C22⋊Dic73—21no—
661C22⋊Dic73—21no—
662C22⋊Dic73—21no—
663C22⋊Dic73—21no—
664C22⋊Dic73—21no—
665#11924005—21no—
666#11924005—21no—
667#11924005—21no—
668#11924005—21no—
669#11924005—21no—
670#11924005—21no—
671#11924005—21no—
672#11924005—21no—
673#11924005—21no—
674#11924005—21no—
675#11924005—21no—
676#11924005—21no—
677#11924005—21no—
678#11924005—21no—
679#11924005—21no—
680#11924005—21no—
681#11924005—21no—
682#11924005—21no—
683#11924005—21no—
684#11924005—21no—
685C4×Dic73—21no—
686C4×Dic73—21no—
687C4×Dic73—21no—
688C4×Dic73—21no—
689C4×Dic73—21no—
690C4×Dic73—21no—
691C24×C73—21no—
692#41×C73—41no—
693#41×C73—41no—
694#41×C73—41no—
695#41×C73—41no—
696C2×Q8×C73C2×D411yescharacteristic
697C2×Q8×C73C2411yescharacteristic
698C2×D4×C73—21no—
699C2×D4×C73—21no—
700C2×D4×C73—21no—
701C2×D4×C73—21no—
702C2×D4×C73—21no—
703C2×D4×C73—21no—
704C2×D4×C73—21no—
705C2×D4×C73—21no—
706C2×D4×C73—41no—
707C2×D4×C73—41no—
708C2×D4×C73C2×D411yescharacteristic
709C2×D4×C73C2×D411yescharacteristic
710C2×D4×C73C2×D411yescharacteristic
711C2×D4×C73C2411yescharacteristic
712C2×D4×C73C2411yescharacteristic
713C2×D4×C73C2411yescharacteristic
714C22×C4×C73—21no—
715C22×C4×C73—21no—
716C22×C4×C73C2411yescharacteristic
717C22×C4×C73C2411yescharacteristic
718C22×C4×C73C2411yescharacteristic
719SD16×C73—41no—
720SD16×C73—41no—
721D8×C73—41no—
722D8×C73—41no—
723M16×C73—41no—
724C2×C8×C73—41no—
725C2×C8×C73C2411yescharacteristic
726C2×C8×C73C2411yescharacteristic
727C2×C8×C73C2411yescharacteristic
728C2×C8×C73C2411yescharacteristic
729C4⋊C4×C73—21no—
730C4⋊C4×C73—21no—
731C4⋊C4×C73—21no—
732C4⋊C4×C73C2411yescharacteristic
733C4⋊C4×C73C2411yescharacteristic
734C4⋊C4×C73C2411yescharacteristic
735C4⋊C4×C73C2411yescharacteristic
736C22⋊C4×C73—21no—
737C22⋊C4×C73—21no—
738C22⋊C4×C73—21no—
739C22⋊C4×C73—21no—
740C22⋊C4×C73—21no—
741C22⋊C4×C73—21no—
742C22⋊C4×C73—21no—
743C22⋊C4×C73—21no—
744C22⋊C4×C73—21no—
745C42×C73—21no—
746C23×C73—21no—
747C23×C73—21no—
748C23×C73—21no—
749C23×C73—42no—
750C23×C73—81no—
751C23×C73—81no—
752C23×C73C22×D411yescharacteristic
753C23×C73C22×D411yescharacteristic
754C23×C73C22×D411yescharacteristic
755C22×D73—22no—
756C22×D73—21no—
757C22×D73—21no—
758C22×D73—41no—
759C22×D73—41no—
760C22×D73—41no—
761C22×D73—41no—
762C22×D73—41no—
763C22×D73—41no—
764C22×D73—41no—
765C22×D73—41no—
766C22×D73—42no—
767C22×D73—42no—
768C22×D73—42no—
769C22×D73—81no—
770C22×D73—81no—
771C22×D73—81no—
772C22×D73—81no—
773C22×D73—81no—
774C22×D73—81no—
775C22×D73C22×D411yescharacteristic
776C22×D73C22×D411yescharacteristic
777C22×D73C22×D411yescharacteristic
778C22×D73C22×D411yescharacteristic
779Q8×C73—21no—
780Q8×C73—21no—
781Q8×C73—41no—
782D4×C73—21no—
783D4×C73—21no—
784D4×C73—21no—
785D4×C73—21no—
786D4×C73—21no—
787D4×C73—21no—
788D4×C73—41no—
789D4×C73—41no—
790D4×C73—41no—
791D4×C73—42no—
792D4×C73—42no—
793D4×C73—81no—
794D4×C73—81no—
795D4×C73—81no—
796D4×C73—81no—
797D4×C73—81no—
798D4×C73—81no—
799C2×C4×C73—21no—
800C2×C4×C73—21no—
801C2×C4×C73—21no—
802C2×C4×C73—21no—
803C2×C4×C73—21no—
804C2×C4×C73—21no—
805C2×C4×C73—21no—
806C2×C4×C73—21no—
807C2×C4×C73—21no—
808C2×C4×C73—21no—
809C2×C4×C73—21no—
810C2×C4×C73—42no—
811C2×C4×C73—81no—
812C2×C4×C73C22×D411yescharacteristic
813C2×C4×C73C22×D411yescharacteristic
814C2×C4×C73C22×D411yescharacteristic
815C2×C4×C73C2511yescharacteristic
816C22⋊D73—22no—
817C22⋊D73—22no—
818C22⋊D73—22no—
819C22⋊D73—22no—
820C22⋊D73—41no—
821C22⋊D73—41no—
822C22⋊D73—42no—
823C22⋊D73—42no—
824C22⋊D73—42no—
825C22⋊D73—42no—
826C22⋊D73—42no—
827C22⋊D73—42no—
828C22⋊D73—42no—
829C22⋊D73—42no—
830C22⋊D73—42no—
831C22⋊D73—42no—
832C22⋊D73—81no—
833C22⋊D73—81no—
834C22⋊D73—81no—
835C22⋊D73—81no—
836C22⋊D73—81no—
837C22⋊D73—81no—
838C22⋊D73—81no—
839C22⋊D73—81no—
840C2×Dic73—22no—
841C2×Dic73—21no—
842C2×Dic73—21no—
843C2×Dic73—21no—
844C2×Dic73—21no—
845C2×Dic73—21no—
846C2×Dic73—21no—
847C2×Dic73—41no—
848C2×Dic73—41no—
849C2×Dic73—42no—
850C2×Dic73—42no—
851C2×Dic73—42no—
852C2×Dic73—81no—
853C2×Dic73—81no—
854C2×Dic73C22×D411yescharacteristic
855C2×Dic73C22×D411yescharacteristic
856C2×Dic73C22×D411yescharacteristic
857C2×Dic73C22×D411yescharacteristic
858D292—22no—
859D292—22no—
860D292—21no—
861D292—21no—
862D292—21no—
863D292—21no—
864D292—41no—
865D292—42no—
866D292—42no—
867D292—81no—
868D292—81no—
869D292—81no—
870C4×D73—22no—
871C4×D73—21no—
872C4×D73—21no—
873C4×D73—21no—
874C4×D73—21no—
875C4×D73—21no—
876C4×D73—21no—
877C4×D73—22no—
878C4×D73—41no—
879C4×D73—41no—
880C4×D73—41no—
881C4×D73—41no—
882C4×D73—42no—
883C4×D73—42no—
884C4×D73—42no—
885C4×D73—42no—
886C4×D73—81no—
887C4×D73—81no—
888C4×D73H(5,𝔽2)12yes—
889C4×D73H(5,𝔽2)12yes—
890Dic146—22no—
891Dic146—22no—
892Dic146—21no—
893Dic146—21no—
894Dic146—21no—
895Dic146—21no—
896Dic146—41no—
897Dic146—42no—
898C8×C73—21no—
899C8×C73—21no—
900C8×C73—21no—
901C8×C73—21no—
902#10596831—21no—
903#10596831—21no—
904#10596831—21no—
905#10596831—21no—
906C22×C73—21no—
907C22×C73—21no—
908C22×C73—21no—
909C22×C73—21no—
910C22×C73—21no—
911C22×C73—21no—
912C22×C73—21no—
913C22×C73—21no—
914C22×C73—21no—
915C22×C73—41no—
916C22×C73—41no—
917C22×C73—41no—
918C22×C73—41no—
919C22×C73—41no—
920C22×C73—41no—
921C22×C73—41no—
922C22×C73—41no—
923C22×C73—41no—
924C22×C73—162no—
925C22×C73C23×D411yescharacteristic
926C2×D73—21no—
927C2×D73—21no—
928C2×D73—21no—
929C2×D73—21no—
930C2×D73—21no—
931C2×D73—21no—
932C2×D73—21no—
933C2×D73—21no—
934C2×D73—21no—
935C2×D73—21no—
936C2×D73—21no—
937C2×D73—41no—
938C2×D73—41no—
939C2×D73—41no—
940C2×D73—41no—
941C2×D73—41no—
942C2×D73—41no—
943C2×D73—82no—
944C2×D73—84no—
945C2×D73—82no—
946C2×D73—82no—
947C2×D73—162no—
948C2×D73—162no—
949C2×D73#53412yes—
950C4×C73—21no—
951C4×C73—21no—
952C4×C73—21no—
953C4×C73—41no—
954C4×C73—41no—
955C4×C73—41no—
956C4×C73—41no—
957C4×C73—41no—
958C4×C73C2×H(5,𝔽2)11yescharacteristic
959C4×C73C2×H(5,𝔽2)11yescharacteristic
960Dic73—21no—
961Dic73—21no—
962Dic73—21no—
963Dic73—41no—
964Dic73—41no—
965Dic73—41no—
966Dic73—41no—
967Dic73—41no—
968Dic73—41no—
969Dic73#53412yes—
970#60760—731nomaximal, Sylow
971C2×C73—41no—
972C2×C73—41no—
973C2×C73—41no—
974C2×C73—81no—
975C2×C73—81no—
976C2×C73—81no—
977C2×C73C2×#53411yescharacteristic
978C2×C73#358411yescharacteristic
979C2×C73#358511yescharacteristic
980D73—22no—
981D73—41no—
982D73—41no—
983D73—41no—
984D73—81no—
985D73—81no—
986#3488—731no—
987#3449—731no—
988#3204—731no—
989#3204—731no—
990#3203—731no—
991#3203—731no—
992#3198—731no—
993#3198—731no—
994#3198—731no—
995#3198D7311yescharacteristic, complemented
996#3197—731no—
997#3197—731no—
998#3194—731no—
999#3194—731no—
1000#3191—731no—
1001#3191—731no—
1002#3188—731no—
1003#3188—731no—
1004#3097—731no—
1005#3096—731no—
1006#3094—731no—
1007#3091—731no—
1008#3063—731no—
1009#3062—731no—
1010#3058—731no—
1011#3057—731no—
1012#3009—731no—
1013#3008—731no—
1014#3005—731no—
1015C2×#449—731no—
1016#2880—731no—
1017C73#6076011yescharacteristic, complemented, Sylow
1018C2×H(5,𝔽2)—731no—
1019C22×#41—731no—
1020C22×#41—731no—
1021C2×#137—731no—
1022C2×AGL(1,ℤ/8)—731no—
1023C22×SD16—731no—
1024C22×D8—731no—
1025C2×#131—731no—
1026C2×#131—731no—
1027#550—1461no—
1028#548—1461no—
1029#546—1461no—
1030#546—1461no—
1031#546—1461no—
1032D42—1461no—
1033D42—1461no—
1034D42—1461no—
1035#537—731no—
1036#537—731no—
1037#537—731no—
1038#537—731no—
1039#537—731no—
1040#537—731no—
1041#537C2×D7311yescharacteristic, complemented
1042#536—731no—
1043#536—731no—
1044#536—1461no—
1045#535—731no—
1046#535—731no—
1047#535—731no—
1048#535—731no—
1049#535—1461no—
1050#535C2×D7311yescharacteristic, complemented
1051#534—1461no—
1052#534—1461no—
1053#532—1461no—
1054#532—1461no—
1055#525—731no—
1056#525—731no—
1057#525—731no—
1058#525—731no—
1059#525—731no—
1060#525—731no—
1061#525—731no—
1062#525—1461no—
1063#525—1461no—
1064C2×#121—731no—
1065C2×#121—731no—
1066C2×#121—731no—
1067#520—731no—
1068C2×#117—731no—
1069#485—731no—
1070#485—731no—
1071#485—731no—
1072#485—731no—
1073#485—731no—
1074#485C2×D7311yescharacteristic, complemented
1075#484—731no—
1076#484—731no—
1077#484—731no—
1078#483—731no—
1079#483—731no—
1080#483—731no—
1081#482—731no—
1082#482—731no—
1083#482—731no—
1084#482—731no—
1085#482—731no—
1086#482—731no—
1087#482—731no—
1088#482—731no—
1089#482—731no—
1090#482C2×D7311yescharacteristic, complemented
1091#481—731no—
1092#481—731no—
1093#481—731no—
1094#481—731no—
1095#481C2×D7311yescharacteristic, complemented
1096#480—731no—
1097#480—731no—
1098#480—731no—
1099#480—731no—
1100#480C2×D7311yescharacteristic, complemented
1101#470—731no—
1102#470—731no—
1103#469—731no—
1104#469—731no—
1105#469—731no—
1106#469—731no—
1107#469—731no—
1108#469C2×D7311yescharacteristic, complemented
1109#468—731no—
1110#468—731no—
1111#468—731no—
1112#468—731no—
1113#468—731no—
1114#468—731no—
1115#468—731no—
1116#468C2×D7311yescharacteristic, complemented
1117#467—731no—
1118#467—731no—
1119#466—731no—
1120#466—731no—
1121#466—731no—
1122#466—731no—
1123#466—731no—
1124#466C2×D7311yescharacteristic, complemented
1125#465—731no—
1126#465—731no—
1127#465—731no—
1128#465—731no—
1129#465—731no—
1130#465—731no—
1131#465—731no—
1132#465C2×D7311yescharacteristic, complemented
1133#452—731no—
1134#452—731no—
1135#452—731no—
1136#452—731no—
1137#452—731no—
1138#452—731no—
1139#452—731no—
1140#452—731no—
1141#450—731no—
1142#450—731no—
1143#450—731no—
1144#450C2×D7311yescharacteristic, complemented
1145#449—731no—
1146#449—731no—
1147#449—731no—
1148#449—731no—
1149#449—731no—
1150#449—731no—
1151#449—731no—
1152#449—731no—
1153#449—731no—
1154#449—731no—
1155#449—731no—
1156#449—731no—
1157#449—731no—
1158#449—731no—
1159#449C2×D7311yescharacteristic, complemented
1160#449C2×D7311yescharacteristic, complemented
1161#447—731no—
1162#447—731no—
1163#447—731no—
1164#447C2×D7311yescharacteristic, complemented
1165#428—731no—
1166#428—731no—
1167#427—731no—
1168#427—731no—
1169#419—731no—
1170#418—731no—
1171#418—731no—
1172#418—731no—
1173#416—731no—
1174#416—731no—
1175C2×#103—731no—
1176C2×#102—731no—
1177#408—731no—
1178#408—731no—
1179#408—731no—
1180#408—731no—
1181#408—731no—
1182#408C2×D7311yescharacteristic, complemented
1183#407—731no—
1184#407—731no—
1185#407—731no—
1186C2×C22⋊C8—731no—
1187C2×C22⋊C8—731no—
1188C2×C22⋊C8—731no—
1189H(5,𝔽2)—2922no—
1190H(5,𝔽2)—2922no—
1191C2×#41—2922no—
1192C2×#41—2922no—
1193C2×#41—2922no—
1194C2×#41—2922no—
1195C2×#41—731no—
1196C2×#41—731no—
1197C2×#41—731no—
1198C2×#41—731no—
1199C2×#41—731no—
1200C2×#41—731no—
1201C2×#41—731no—
1202C2×#41—731no—
1203C2×#41—731no—
1204C2×#41—731no—
1205C2×#41—731no—
1206C2×#41—731no—
1207C2×#41—731no—
1208C2×#41—1461no—
1209C2×#41—1461no—
1210C2×#41—1461no—
1211C2×#41C22×D7311yescharacteristic
1212C2×#41C22×D7311yescharacteristic
1213C22×Q8—731no—
1214C22×Q8—731no—
1215C22×D4—731no—
1216C22×D4—731no—
1217C22×D4—731no—
1218C22×D4—731no—
1219C22×D4—731no—
1220C22×D4—731no—
1221C22×D4—1461no—
1222C22×D4—1461no—
1223C22×D4—1461no—
1224C22×D4—1461no—
1225C22×D4—1461no—
1226C22×D4—1461no—
1227C22×D4—1461no—
1228C22×D4C22×D7311yescharacteristic
1229C23×C4—731no—
1230C23×C4—731no—
1231C23×C4—731no—
1232C23×C4—1461no—
1233#137—2922no—
1234AGL(1,ℤ/8)—2922no—
1235C2×Q16—731no—
1236C2×Q16—731no—
1237C2×SD16—2922no—
1238C2×SD16—731no—
1239C2×SD16—731no—
1240C2×SD16—731no—
1241C2×SD16—731no—
1242C2×SD16—731no—
1243C2×SD16—731no—
1244C2×SD16C22×D7311yescharacteristic
1245C2×SD16C22×D7311yescharacteristic
1246C2×D8—2922no—
1247C2×D8—731no—
1248C2×D8—731no—
1249C2×D8—731no—
1250C2×D8—731no—
1251C2×D8C22×D7311yescharacteristic
1252C2×D8C22×D7311yescharacteristic
1253#131—2922no—
1254#131—2922no—
1255C2×M16—731no—
1256C2×M16—731no—
1257C2×M16—731no—
1258C2×M16—731no—
1259C2×M16—731no—
1260C2×M16C22×D7311yescharacteristic
1261C22×C8—731no—
1262C22×C8—731no—
1263C22×C8—731no—
1264C22×C8—731no—
1265C22×C8—731no—
1266C22×C8C22×D7311yescharacteristic
1267C4⋊Q8—1461no—
1268C4⋊Q8—1461no—
1269#127—21no—
1270#127—1461no—
1271#127—1461no—
1272#127—1461no—
1273#127—1461no—
1274#124—21no—
1275#124—1461no—
1276#124—1461no—
1277#124—1461no—
1278#124—1461no—
1279#124—1461no—
1280#124—1461no—
1281#123—1461no—
1282#123—1461no—
1283#123—1461no—
1284#123—1461no—
1285#123—1461no—
1286#123—1461no—
1287#123—1461no—
1288#123—1461no—
1289#123—1461no—
1290#123—1461no—
1291#123—1461no—
1292C22⋊Q8—21no—
1293C22⋊Q8—731no—
1294C22⋊Q8—731no—
1295C22⋊Q8—731no—
1296C22⋊Q8—731no—
1297C22⋊Q8—731no—
1298C22⋊Q8—731no—
1299C22⋊Q8—731no—
1300C22⋊Q8—731no—
1301C22⋊Q8—731no—
1302C22⋊Q8—731no—
1303C22⋊Q8—1461no—
1304C22⋊Q8—1461no—
1305C22⋊Q8—1461no—
1306C22⋊Q8—1461no—
1307C22⋊Q8—1461no—
1308C22⋊Q8—1461no—
1309C22⋊Q8C22×D7311yescharacteristic
1310C22⋊Q8C22×D7311yescharacteristic
1311#121—21no—
1312#121—21no—
1313#121—21no—
1314#121—731no—
1315#121—731no—
1316#121—731no—
1317#121—731no—
1318#121—731no—
1319#121—731no—
1320#121—731no—
1321#121—731no—
1322#121—731no—
1323#121—731no—
1324#121—731no—
1325#121—731no—
1326#121—731no—
1327#121—731no—
1328#121—1461no—
1329#121—1461no—
1330#121—1461no—
1331#121—1461no—
1332#121—1461no—
1333#121—1461no—
1334#121—1461no—
1335#121—1461no—
1336#121—1461no—
1337#121—1461no—
1338#121—1461no—
1339#121—1461no—
1340#121—1461no—
1341#121—1461no—
1342#121—1461no—
1343#121—1461no—
1344#121—1461no—
1345#121—1461no—
1346#121—1461no—
1347#121—1461no—
1348#121—1461no—
1349#121—1461no—
1350#121—1461no—
1351#121—1461no—
1352#121C22×D7311yescharacteristic
1353#121C22×D7311yescharacteristic
1354#121C22×D7311yescharacteristic
1355#121C22×D7311yescharacteristic
1356#121C22×D7311yescharacteristic
1357#121C22×D7311yescharacteristic
1358#120—21no—
1359#120—21no—
1360#120—1461no—
1361#120—1461no—
1362#120—1461no—
1363#120—1461no—
1364#120—1461no—
1365#120—1461no—
1366#120—1461no—
1367#120—1461no—
1368#120—1461no—
1369#120—1461no—
1370#120—1461no—
1371#120—1461no—
1372#120—1461no—
1373#120—1461no—
1374#120—1461no—
1375C4×Q8—1461no—
1376C4×D4—1461no—
1377C4×D4—1461no—
1378C4×D4—1461no—
1379C4×D4—1461no—
1380C4×D4—1461no—
1381C4×D4—1461no—
1382C4×D4—1461no—
1383C4×D4—1461no—
1384C4×D4—1461no—
1385C4×D4—1461no—
1386C4×D4—1461no—
1387C4×D4—1461no—
1388C4×D4—1461no—
1389C4×D4—1461no—
1390C4×D4—1461no—
1391C4×D4—1461no—
1392C4×D4—1461no—
1393#117—731no—
1394#117—731no—
1395#117—731no—
1396#117—731no—
1397#117—731no—
1398#117—731no—
1399#117—1461no—
1400#117—1461no—
1401#117C22×D7311yescharacteristic
1402C2×C4⋊C4—731no—
1403C2×C4⋊C4—731no—
1404C2×C4⋊C4—731no—
1405C2×C4⋊C4—731no—
1406C2×C4⋊C4C22×D7311yescharacteristic
1407C2×C22⋊C4—1461no—
1408C2×C22⋊C4—1461no—
1409C2×C22⋊C4—1461no—
1410C2×C22⋊C4—1461no—
1411C2×C42—1461no—
1412#107—731no—
1413#107—731no—
1414#107—731no—
1415#107—731no—
1416#107—731no—
1417#107—731no—
1418#107C22×D7311yescharacteristic
1419#107C22×D7311yescharacteristic
1420#106—731no—
1421#106—731no—
1422#106—731no—
1423#106—731no—
1424#106—731no—
1425#106—731no—
1426#106C22×D7311yescharacteristic
1427#106C22×D7311yescharacteristic
1428#103—731no—
1429#103—731no—
1430#103—731no—
1431#103—731no—
1432#103—731no—
1433#103—731no—
1434#103—731no—
1435#103—731no—
1436#103—731no—
1437#103—731no—
1438#103C22×D7311yescharacteristic
1439#103C22×D7311yescharacteristic
1440#102—731no—
1441#102—731no—
1442#102—731no—
1443#102—731no—
1444#102—731no—
1445#102—731no—
1446#102—731no—
1447#102—731no—
1448#102—731no—
1449#102—731no—
1450#102—731no—
1451#102—731no—
1452#102—731no—
1453#102—731no—
1454#102C22×D7311yescharacteristic
1455#102C22×D7311yescharacteristic
1456#102C22×D7311yescharacteristic
1457#102C22×D7311yescharacteristic
1458#102C22×D7311yescharacteristic
1459#102C22×D7311yescharacteristic
1460C22⋊C8—731no—
1461C22⋊C8—731no—
1462C22⋊C8—731no—
1463C22⋊C8—731no—
1464C22⋊C8—731no—
1465C22⋊C8—731no—
1466C22⋊C8—731no—
1467C22⋊C8—731no—
1468C22⋊C8—731no—
1469C22⋊C8—731no—
1470C22⋊C8—731no—
1471C22⋊C8—731no—
1472C22⋊C8C22×D7311yescharacteristic
1473C22⋊C8C22×D7311yescharacteristic
1474C22⋊C8C22×D7311yescharacteristic
1475C22⋊C8C22×D7311yescharacteristic
1476C24—21no—
1477C24—731no—
1478C24—731no—
1479C24—731no—
1480C24—1461no—
1481C24—1461no—
1482C24—1461no—
1483#41—41no—
1484#41—41no—
1485#41—41no—
1486#41—41no—
1487#41—2921no—
1488#41—2921no—
1489#41—2921no—
1490#41—2921no—
1491#41—2921no—
1492#41—2921no—
1493#41—2924no—
1494#41—2924no—
1495#41—2921no—
1496#41—2921no—
1497#41—2921no—
1498#41—2921no—
1499#41—2924no—
1500#41—2922no—
1501#41—2922no—
1502#41—2922no—
1503#41—2921no—
1504#41—2921no—
1505#41—2922no—
1506#41—1462no—
1507#41—1462no—
1508#41—1462no—
1509#41—1462no—
1510#41—1462no—
1511#41—1462no—
1512C2×Q8—2922no—
1513C2×Q8—731no—
1514C2×Q8—731no—
1515C2×Q8—731no—
1516C2×Q8—731no—
1517C2×Q8—731no—
1518C2×Q8—1461no—
1519C2×Q8—1462no—
1520C2×Q8—1462no—
1521C2×Q8D4×D7311yescharacteristic
1522C2×Q8C23×D7311yescharacteristic
1523C2×D4—21no—
1524C2×D4—21no—
1525C2×D4—21no—
1526C2×D4—21no—
1527C2×D4—21no—
1528C2×D4—21no—
1529C2×D4—21no—
1530C2×D4—21no—
1531C2×D4—41no—
1532C2×D4—41no—
1533C2×D4—2924no—
1534C2×D4—2924no—
1535C2×D4—2922no—
1536C2×D4—2922no—
1537C2×D4—2924no—
1538C2×D4—2924no—
1539C2×D4—2921no—
1540C2×D4—2921no—
1541C2×D4—2922no—
1542C2×D4—5842no—
1543C2×D4—5842no—
1544C2×D4—5842no—
1545C2×D4—731no—
1546C2×D4—731no—
1547C2×D4—731no—
1548C2×D4—731no—
1549C2×D4—731no—
1550C2×D4—731no—
1551C2×D4—731no—
1552C2×D4—731no—
1553C2×D4—731no—
1554C2×D4—731no—
1555C2×D4—731no—
1556C2×D4—1461no—
1557C2×D4—1461no—
1558C2×D4—1461no—
1559C2×D4—1461no—
1560C2×D4—1461no—
1561C2×D4—1462no—
1562C2×D4—1462no—
1563C2×D4—1462no—
1564C2×D4—1462no—
1565C2×D4—1461no—
1566C2×D4—1461no—
1567C2×D4—1461no—
1568C2×D4—1461no—
1569C2×D4—1461no—
1570C2×D4—1461no—
1571C2×D4—1461no—
1572C2×D4—1461no—
1573C2×D4—1461no—
1574C2×D4—1461no—
1575C2×D4—1461no—
1576C2×D4—1461no—
1577C2×D4—1461no—
1578C2×D4—1461no—
1579C2×D4—1461no—
1580C2×D4—1461no—
1581C2×D4—1461no—
1582C2×D4—1461no—
1583C2×D4D4×D7311yescharacteristic
1584C2×D4D4×D7311yescharacteristic
1585C2×D4D4×D7311yescharacteristic
1586C2×D4C23×D7311yescharacteristic
1587C2×D4C23×D7311yescharacteristic
1588C2×D4C23×D7311yescharacteristic
1589C22×C4—21no—
1590C22×C4—21no—
1591C22×C4—2921no—
1592C22×C4—2921no—
1593C22×C4—2921no—
1594C22×C4—2921no—
1595C22×C4—2924no—
1596C22×C4—731no—
1597C22×C4—731no—
1598C22×C4—731no—
1599C22×C4—731no—
1600C22×C4—731no—
1601C22×C4—731no—
1602C22×C4—731no—
1603C22×C4—731no—
1604C22×C4—731no—
1605C22×C4—731no—
1606C22×C4—731no—
1607C22×C4—731no—
1608C22×C4—731no—
1609C22×C4—1461no—
1610C22×C4—1461no—
1611C22×C4—1461no—
1612C22×C4—1461no—
1613C22×C4—1462no—
1614C22×C4—1462no—
1615C22×C4—1461no—
1616C22×C4—1461no—
1617C22×C4—1461no—
1618C22×C4—1461no—
1619C22×C4—1461no—
1620C22×C4—1461no—
1621C22×C4—1461no—
1622C22×C4C23×D7311yescharacteristic
1623C22×C4C23×D7311yescharacteristic
1624C22×C4C23×D7311yescharacteristic
1625Q16—2921no—
1626Q16—2921no—
1627SD16—41no—
1628SD16—41no—
1629SD16—2921no—
1630SD16—2921no—
1631SD16—2921no—
1632SD16—2921no—
1633SD16—2921no—
1634SD16—2921no—
1635D8—41no—
1636D8—41no—
1637D8—2921no—
1638D8—2921no—
1639D8—2921no—
1640D8—2921no—
1641M16—41no—
1642M16—2921no—
1643M16—2921no—
1644M16—2921no—
1645M16—1462no—
1646M16—1462no—
1647C2×C8—41no—
1648C2×C8—2921no—
1649C2×C8—2921no—
1650C2×C8—2921no—
1651C2×C8—731no—
1652C2×C8—731no—
1653C2×C8—731no—
1654C2×C8—731no—
1655C2×C8—1462no—
1656C2×C8—1462no—
1657C2×C8C23×D7311yescharacteristic
1658C2×C8C23×D7311yescharacteristic
1659C2×C8C23×D7311yescharacteristic
1660C2×C8C23×D7311yescharacteristic
1661C4⋊C4—21no—
1662C4⋊C4—21no—
1663C4⋊C4—21no—
1664C4⋊C4—731no—
1665C4⋊C4—731no—
1666C4⋊C4—731no—
1667C4⋊C4—731no—
1668C4⋊C4—1461no—
1669C4⋊C4—1461no—
1670C4⋊C4—1461no—
1671C4⋊C4—1461no—
1672C4⋊C4—1461no—
1673C4⋊C4—1461no—
1674C4⋊C4—1461no—
1675C4⋊C4—1461no—
1676C4⋊C4—1461no—
1677C4⋊C4—1461no—
1678C4⋊C4—1461no—
1679C4⋊C4—1461no—
1680C4⋊C4—1461no—
1681C4⋊C4—1461no—
1682C4⋊C4C23×D7311yescharacteristic
1683C4⋊C4C23×D7311yescharacteristic
1684C4⋊C4C23×D7311yescharacteristic
1685C4⋊C4C23×D7311yescharacteristic
1686C22⋊C4—21no—
1687C22⋊C4—21no—
1688C22⋊C4—21no—
1689C22⋊C4—21no—
1690C22⋊C4—21no—
1691C22⋊C4—21no—
1692C22⋊C4—21no—
1693C22⋊C4—21no—
1694C22⋊C4—21no—
1695C22⋊C4—1461no—
1696C22⋊C4—1461no—
1697C22⋊C4—1461no—
1698C22⋊C4—1461no—
1699C22⋊C4—1461no—
1700C22⋊C4—1461no—
1701C22⋊C4—1461no—
1702C22⋊C4—1461no—
1703C22⋊C4—1461no—
1704C22⋊C4—1461no—
1705C22⋊C4—1461no—
1706C22⋊C4—1461no—
1707C22⋊C4—1461no—
1708C22⋊C4—1461no—
1709C22⋊C4—1461no—
1710C22⋊C4—1461no—
1711C22⋊C4—1461no—
1712C22⋊C4—1461no—
1713C22⋊C4—1461no—
1714C22⋊C4—1461no—
1715C22⋊C4—1461no—
1716C22⋊C4—1461no—
1717C22⋊C4—1461no—
1718C22⋊C4—1461no—
1719C22⋊C4—1461no—
1720C22⋊C4—1461no—
1721C22⋊C4—1461no—
1722C22⋊C4—1461no—
1723C22⋊C4—1461no—
1724C22⋊C4—1461no—
1725C42—21no—
1726C42—1461no—
1727C42—1461no—
1728C42—1461no—
1729C42—1461no—
1730C42—1461no—
1731C42—1461no—
1732C23—21no—
1733C23—21no—
1734C23—21no—
1735C23—42no—
1736C23—81no—
1737C23—81no—
1738C23—2921no—
1739C23—2921no—
1740C23—2921no—
1741C23—2921no—
1742C23—2921no—
1743C23—2921no—
1744C23—2921no—
1745C23—2921no—
1746C23—2922no—
1747C23—2922no—
1748C23—2922no—
1749C23—5841no—
1750C23—5841no—
1751C23—5841no—
1752C23—5841no—
1753C23—5841no—
1754C23—5841no—
1755C23—731no—
1756C23—731no—
1757C23—731no—
1758C23—731no—
1759C23—1462no—
1760C23—1461no—
1761C23—1461no—
1762C23C2×D4×D7311yescharacteristic
1763C23C2×D4×D7311yescharacteristic
1764C23C2×D4×D7311yescharacteristic
1765Q8—21no—
1766Q8—21no—
1767Q8—41no—
1768Q8—2921no—
1769Q8—2922no—
1770Q8—1462no—
1771Q8—1462no—
1772Q8—1461no—
1773Q8—1461no—
1774Q8—1461no—
1775Q8—1461no—
1776D4—21no—
1777D4—21no—
1778D4—21no—
1779D4—21no—
1780D4—21no—
1781D4—21no—
1782D4—41no—
1783D4—41no—
1784D4—41no—
1785D4—42no—
1786D4—42no—
1787D4—81no—
1788D4—81no—
1789D4—81no—
1790D4—81no—
1791D4—81no—
1792D4—81no—
1793D4—2921no—
1794D4—2922no—
1795D4—2922no—
1796D4—2922no—
1797D4—2922no—
1798D4—2922no—
1799D4—2922no—
1800D4—2922no—
1801D4—2922no—
1802D4—2922no—
1803D4—2922no—
1804D4—2922no—
1805D4—2921no—
1806D4—2921no—
1807D4—2922no—
1808D4—5841no—
1809D4—5841no—
1810D4—5841no—
1811D4—5841no—
1812D4—5841no—
1813D4—5841no—
1814D4—5841no—
1815D4—5841no—
1816D4—5841no—
1817D4—5841no—
1818D4—5841no—
1819D4—1462no—
1820D4—1462no—
1821D4—1462no—
1822D4—1462no—
1823D4—1462no—
1824D4—1462no—
1825D4—1461no—
1826D4—1461no—
1827D4—1461no—
1828D4—1461no—
1829C2×C4—21no—
1830C2×C4—21no—
1831C2×C4—21no—
1832C2×C4—21no—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—21no—
1836C2×C4—21no—
1837C2×C4—21no—
1838C2×C4—21no—
1839C2×C4—21no—
1840C2×C4—42no—
1841C2×C4—81no—
1842C2×C4—2922no—
1843C2×C4—2922no—
1844C2×C4—2921no—
1845C2×C4—2921no—
1846C2×C4—2921no—
1847C2×C4—2921no—
1848C2×C4—2922no—
1849C2×C4—2922no—
1850C2×C4—2922no—
1851C2×C4—2922no—
1852C2×C4—2922no—
1853C2×C4—2921no—
1854C2×C4—2921no—
1855C2×C4—5841no—
1856C2×C4—5841no—
1857C2×C4—5841no—
1858C2×C4—5841no—
1859C2×C4—731no—
1860C2×C4—732no—
1861C2×C4—732no—
1862C2×C4—731no—
1863C2×C4—731no—
1864C2×C4—731no—
1865C2×C4—1462no—
1866C2×C4—1462no—
1867C2×C4—1461no—
1868C2×C4—1461no—
1869C2×C4—1461no—
1870C2×C4—1461no—
1871C2×C4—1461no—
1872C2×C4—1461no—
1873C2×C4—1462no—
1874C2×C4—1461no—
1875C2×C4—1461no—
1876C2×C4—1461no—
1877C2×C4—1461no—
1878C2×C4—1461no—
1879C2×C4—1461no—
1880C2×C4C2×D4×D7311yescharacteristic
1881C2×C4C2×D4×D7311yescharacteristic
1882C2×C4C2×D4×D7311yescharacteristic
1883C2×C4C24×D7311yescharacteristic
1884C8—21no—
1885C8—21no—
1886C8—21no—
1887C8—21no—
1888C8—1461no—
1889C8—1461no—
1890C8—1461no—
1891C8—1461no—
1892C22—21no—
1893C22—21no—
1894C22—21no—
1895C22—21no—
1896C22—21no—
1897C22—21no—
1898C22—21no—
1899C22—21no—
1900C22—21no—
1901C22—41no—
1902C22—41no—
1903C22—41no—
1904C22—41no—
1905C22—41no—
1906C22—41no—
1907C22—41no—
1908C22—41no—
1909C22—41no—
1910C22—162no—
1911C22—2921no—
1912C22—2921no—
1913C22—2921no—
1914C22—2921no—
1915C22—2921no—
1916C22—2921no—
1917C22—5842no—
1918C22—5842no—
1919C22—5842no—
1920C22—5844no—
1921C22—732no—
1922C22—11682no—
1923C22—11682no—
1924C22—1461no—
1925C22—1461no—
1926C22—1461no—
1927C22—1461no—
1928C22—1461no—
1929C22—1461no—
1930C22—1461no—
1931C22—1461no—
1932C22—1461no—
1933C22—1461no—
1934C22—1461no—
1935C22C22×D4×D7311yescharacteristic
1936C4—21no—
1937C4—21no—
1938C4—21no—
1939C4—41no—
1940C4—41no—
1941C4—41no—
1942C4—41no—
1943C4—41no—
1944C4—2921no—
1945C4—2921no—
1946C4—2921no—
1947C4—2921no—
1948C4—2921no—
1949C4—2921no—
1950C4—732no—
1951C4—1461no—
1952C4—1461no—
1953C4—1461no—
1954C4H(5,𝔽2)×D7311yescharacteristic
1955C4H(5,𝔽2)×D7311yescharacteristic
1956C2—41no—
1957C2—41no—
1958C2—41no—
1959C2—81no—
1960C2—81no—
1961C2—81no—
1962C2—2921no—
1963C2—2921no—
1964C2—2921no—
1965C2—5841no—
1966C2—5841no—
1967C2—1462no—
1968C2#534×D7311yescharacteristic
1969C2#2262469911yescharacteristic
1970C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3198C2
socleC22×C73C23×D4
hypercenter#3198D73
hypocenterC73#60760
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3198

Complements

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

NH ≅ G/Ntype
1. #22623598C2semidirect
2. #22623259C2semidirect
3. #22620844C2semidirect
4. #22620837C2semidirect
5. #22620833C2semidirect
6. #22620830C2semidirect
7. #22620790C2semidirect
8. #22620783C2semidirect
9. #22620780C2semidirect
10. #22620771C2semidirect
11. #22620769C2semidirect
12. #22620748C2semidirect
13. #22620740C2semidirect
14. #22620726C2semidirect
15. #22620718C2semidirect
16. #22620697C2semidirect
17. #22620693C2semidirect
18. #22619895C2semidirect
19. #22619886C2semidirect
20. #22619868C2semidirect
21. #22619839C2semidirect
22. #22619615C2semidirect
23. #22619608C2semidirect
24. #22619574C2semidirect
25. #22619568C2semidirect
26. #22619203C2semidirect
27. #22619194C2semidirect
28. #22619169C2semidirect
29. #449×D73C2semidirect
30. #22618379C2semidirect
31. C73×#3198C2semidirect
34. C2×#41×D73C22semidirect
35. C2×#14556620C22semidirect
36. C2×#14556615C22semidirect
37. C2×SD16×D73C22semidirect
38. C2×D8×D73C22semidirect
39. C2×#14556599C22semidirect
40. C2×#14556597C22semidirect
49. #17989168C22semidirect
51. #17989166C22semidirect
52. #17989165C22semidirect
53. #17989165C22semidirect
54. #17989165C22semidirect
57. #17989160C22semidirect
61. #17989153C22semidirect
62. #17989153C22semidirect
68. #17989100C22semidirect
69. #17989100C22semidirect
70. #17989099C22semidirect
73. #17989097C22semidirect
74. #17989097C22semidirect
75. #17989097C22semidirect
76. C2×#14556562C22semidirect
78. #121×D73C22semidirect
80. C2×#14556549C22semidirect
81. #17988930C22semidirect
82. #17988930C22semidirect
83. #17988930C22semidirect
84. #17988928C22semidirect
85. #17988927C22semidirect
86. #17988923C22semidirect
87. #17988923C22semidirect
88. #17988921C22semidirect
89. #17988919C22semidirect
90. #17988917C22semidirect
91. #17988915C22semidirect
92. #17988914C22semidirect
93. #17988913C22semidirect
94. #17988913C22semidirect
95. #17988911C22semidirect
96. #17988909C22semidirect
97. #17988909C22semidirect
98. #17988909C22semidirect
99. #17988909C22semidirect
100. #17988909C22semidirect
101. #17988907C22semidirect
102. #17988905C22semidirect
103. #17988903C22semidirect
104. #17988903C22semidirect
105. #17988901C22semidirect
106. #17988901C22semidirect
107. #17988899C22semidirect
108. #17988898C22semidirect
109. #17988846C22semidirect
110. #17988843C22semidirect
111. #17988839C22semidirect
112. #17988839C22semidirect
113. #17988839C22semidirect
114. #17988838C22semidirect
115. #17988838C22semidirect
116. #17988834C22semidirect
117. #17988833C22semidirect
118. #17988833C22semidirect
119. #17988832C22semidirect
120. #17988831C22semidirect
121. #17988830C22semidirect
122. #17988830C22semidirect
123. #17988828C22semidirect
124. #17988827C22semidirect
125. #17988824C22semidirect
126. #17988823C22semidirect
127. #17988821C22semidirect
128. #17988820C22semidirect
129. #17988820C22semidirect
130. #17988819C22semidirect
131. #17988818C22semidirect
132. #17988817C22semidirect
133. #17988815C22semidirect
134. #17988815C22semidirect
135. #17988814C22semidirect
136. #17988814C22semidirect
137. #17988752C22semidirect
138. #17988751C22semidirect
139. #17988751C22semidirect
140. #17988750C22semidirect
141. #17988750C22semidirect
142. #17988749C22semidirect
143. #17988747C22semidirect
144. #17988746C22semidirect
145. #17988739C22semidirect
146. #17988738C22semidirect
147. #17988736C22semidirect
148. #17988735C22semidirect
149. #17988734C22semidirect
150. #17988734C22semidirect
151. #17988733C22semidirect
152. #17988733C22semidirect
153. #17988732C22semidirect
154. #17988731C22semidirect
155. #17988731C22semidirect
156. #17988730C22semidirect
157. #17988730C22semidirect
158. #17988730C22semidirect
159. #17988729C22semidirect
160. #17988729C22semidirect
161. #17988729C22semidirect
162. #17988722C22semidirect
163. #17988721C22semidirect
164. #17988719C22semidirect
165. #17988626C22semidirect
166. #17988626C22semidirect
167. #17988624C22semidirect
168. #17988624C22semidirect
169. #17988594C22semidirect
170. #17988590C22semidirect
171. #17988590C22semidirect
172. #17988590C22semidirect
173. #17988580C22semidirect
174. #17988580C22semidirect
175. #103×D73C22semidirect
176. #102×D73C22semidirect
177. #17988554C22semidirect
180. #17988552C22semidirect
181. #17988552C22semidirect
182. #17988550C22semidirect
183. #17988549C22semidirect
184. #17988549C22semidirect
185. C2×#14556503C22semidirect
186. C22⋊C8×D73C22semidirect
187. C22⋊C8×D73C22semidirect
188. #537×C73C22semidirect
189. #535×C73C22semidirect
190. #485×C73C22semidirect
191. #482×C73C22semidirect
192. #481×C73C22semidirect
193. #480×C73C22semidirect
194. #469×C73C22semidirect
195. #468×C73C22semidirect
196. #466×C73C22semidirect
197. #465×C73C22semidirect
198. #450×C73C22semidirect
199. #449×C73C22semidirect
200. #449×C73C22semidirect
201. #447×C73C22semidirect
202. #408×C73C22semidirect
995. #3198D73semidirect
1017. C73#60760semidirect
1041. #537C2×D73semidirect
1050. #535C2×D73semidirect
1074. #485C2×D73semidirect
1090. #482C2×D73semidirect
1095. #481C2×D73semidirect
1100. #480C2×D73semidirect
1108. #469C2×D73semidirect
1116. #468C2×D73semidirect
1124. #466C2×D73semidirect
1132. #465C2×D73semidirect
1144. #450C2×D73semidirect
1159. #449C2×D73semidirect
1160. #449C2×D73semidirect
1164. #447C2×D73semidirect
1182. #408C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226235982
#226232592
#226208442
#226208372
#226208332
#226208302
#226207902
#226207832
#226207802
#226207712
#226207692
#226207482
#226207402
#226207262
#226207182
#226206972
#226206932
#226198952
#226198862
#226198682
#226198392
#226196152
#226196082
#226195742
#226195682
#226192032
#226191942
#226191692
#449×D732
#226183792
C73×#31982
#6076073